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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003013.png ; $Z _ { \ddot{\alpha} } f$ ; confidence 0.183
+
1. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003013.png ; $Z _ { a } f$ ; confidence 0.183
  
2. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100111.png ; $\lambda _ { G } ^ { p } ( \mu ) = ( \operatorname { supp } \mu ) ^ { - 1 }$ ; confidence 0.182
+
2. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100111.png ; $\operatorname {supp}\lambda _ { G } ^ { p } ( \mu ) = ( \operatorname { supp } \mu ) ^ { - 1 }$ ; confidence 0.182
  
3. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $( \mathcal{S} ) $ ; unknown symbol
+
3. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $_{\bigtriangledown}^{\bigtriangleup}( \mathcal{S} ) $ ; unknown symbol
  
4. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004019.png ; $\| \alpha \| _ { b t } = \| \alpha \| _ { b v } + \sum _ { n = 2 } ^ { \infty } | \sum _ { k = 1 } ^ { n / 2 } \frac { \Delta d _ { n - k } - \Delta d _ { n + k } | } { k }.$ ; confidence 0.182
+
4. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004019.png ; $\| d \| _ { b t } = \| d \| _ { \operatorname {bv} } + \sum _ { n = 2 } ^ { \infty } \left| \sum _ { k = 1 } ^ { n / 2 } \frac { \Delta d _ { n - k } - \Delta d _ { n + k } } { k }\right|.$ ; confidence 0.182
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015022.png ; $ad : \mathfrak { g } \rightarrow \operatorname { End } ( \mathfrak { g } )$ ; confidence 0.182
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015022.png ; $\operatorname {ad} : \mathfrak { g } \rightarrow \operatorname { End } ( \mathfrak { g } )$ ; confidence 0.182
  
 
6. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132015.png ; $v ^ { k }$ ; confidence 0.182
 
6. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132015.png ; $v ^ { k }$ ; confidence 0.182
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7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030031.png ; $f _ { \alpha } : S ^ { n _ { \alpha } } \rightarrow X _ { n _ { \alpha } }$ ; confidence 0.182
 
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030031.png ; $f _ { \alpha } : S ^ { n _ { \alpha } } \rightarrow X _ { n _ { \alpha } }$ ; confidence 0.182
  
8. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041035.png ; $T _ { N } ( x ) = \sum _ { j = n - k } ^ { n + 1 } \frac { b _ { n } , j } { j } P _ { j } ^ { \prime } ( x ) , n \geq k + 1,$ ; confidence 0.181
+
8. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041035.png ; $T _ { n } ( x ) = \sum _ { j = n - k } ^ { n + 1 } \frac { b _ { n , j} } { j } P _ { j } ^ { \prime } ( x ) , n \geq k + 1,$ ; confidence 0.181
  
9. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022044.png ; $i = r j - 1 , \dots , r ; - 1$ ; confidence 0.181
+
9. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022044.png ; $i = r_{j - 1} , \dots , r_{j} - 1$ ; confidence 0.181
  
 
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018051.png ; $\textbf{Alg} _ { \vDash } ( \mathcal{L} ) \subseteq \textbf{Alg} _ { \vdash } ( \mathcal{L} )$ ; confidence 0.181
 
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018051.png ; $\textbf{Alg} _ { \vDash } ( \mathcal{L} ) \subseteq \textbf{Alg} _ { \vdash } ( \mathcal{L} )$ ; confidence 0.181
  
11. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005085.png ; $a _ { j } \in \mathcal{B}$ ; confidence 0.181
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11. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005085.png ; $a _ { i } \in \mathcal{B}$ ; confidence 0.181
  
 
12. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023059.png ; $[G:\operatorname{rist}_G ( n )]<\infty$ ; confidence 0.181
 
12. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023059.png ; $[G:\operatorname{rist}_G ( n )]<\infty$ ; confidence 0.181
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13. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280143.png ; $\mathbf{C} ^ { n } \backslash D$ ; confidence 0.181
 
13. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280143.png ; $\mathbf{C} ^ { n } \backslash D$ ; confidence 0.181
  
14. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008047.png ; $\sum _ { l = 0 } ^ { m } \left[ \begin{array} { l } { A _ { 1 } } \\ { A _ { 2 } } \end{array} \right] ( l _ { m } \otimes D _ { m - i } ) A _ { 1 } ^ { i } = 0 ( D _ { 0 } = I _ { n } ).$ ; confidence 0.181
+
14. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008047.png ; $\sum _ { i = 0 } ^ { m } \left[ \begin{array} { l } { A _ { 1 } } \\ { A _ { 2 } } \end{array} \right] ( I _ { m } \bigotimes D _ { m - i } ) A _ { 1 } ^ { i } = 0 ( D _ { 0 } = I _ { n } ).$ ; confidence 0.181
  
15. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002071.png ; $\int _ { E ^ { X }  } dP( x ) = m$ ; confidence 0.181
+
15. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002071.png ; $\int _ { E }x d \mathsf{P}( x ) = m$ ; confidence 0.181
  
 
16. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008085.png ; $\langle z , w \rangle = \sum _ { j = 1 } ^ { x } z _ { j } w _ { j }$ ; confidence 0.181
 
16. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008085.png ; $\langle z , w \rangle = \sum _ { j = 1 } ^ { x } z _ { j } w _ { j }$ ; confidence 0.181
  
17. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007039.png ; $\operatorname { \underline{lim} }  \leftarrow : \mathcal{A} ^ { C } \rightarrow A$ ; confidence 0.181
+
17. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007039.png ; $\operatorname { \underline{lim} }  \leftarrow : \mathcal{A} ^ { \mathbf{C} } \rightarrow A$ ; confidence 0.181
  
18. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005076.png ; $\mathfrak{h}(S)\otimes \mathbf{C}$ ; confidence 0.181
+
18. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005076.png ; $\mathfrak{H}(S)\oplus \mathbf{C}$ ; confidence 0.181
  
19. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d1300609.png ; $\leq \sum _ { I \subseteq \{ 1 , \ldots , k \} , I \neq \emptyset } ( - 1 ) ^ { | l | + 1 } \operatorname { Bel } ( \cap _ { i \in I } A _ { i } ).$ ; confidence 0.180
+
19. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d1300609.png ; $\geq \sum _ { I \subseteq \{ 1 , \ldots , k \} , I \neq \emptyset } ( - 1 ) ^ { | I | + 1 } \operatorname { Bel } ( \bigcap _ { i \in I } A _ { i } ).$ ; confidence 0.180
  
20. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120330/s12033030.png ; $2 ^ { \alpha } 3 ^ { b }$ ; confidence 0.180
+
20. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120330/s12033030.png ; $2 ^ { a } 3 ^ { b }$ ; confidence 0.180
  
 
21. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511065.png ; $x \in D$ ; confidence 0.180
 
21. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511065.png ; $x \in D$ ; confidence 0.180
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22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034048.png ; $P S L_n$ ; confidence 0.180
 
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034048.png ; $P S L_n$ ; confidence 0.180
  
23. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009018.png ; $w ^ { i }$ ; confidence 0.180
+
23. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009018.png ; $\mathbf{w} ^ { i }$ ; confidence 0.180
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240282.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { q } d _ { i } z _ { i }$ ; confidence 0.180
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240282.png ; $\widehat { \psi } = \sum _ { i = 1 } ^ { q } d _ { i } z _ { i }$ ; confidence 0.180
  
25. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520316.png ; $a ( f ) = \int _ { M } a ( x ) f ( x ) d \sigma ( x ) , \quad \alpha ^ { * } ( f ) = \int _ { M } a ^ { * } ( x ) \overline { f } ( x ) d \sigma ( x ).$ ; confidence 0.180
+
25. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520316.png ; $a ( f ) = \int _ { M } a ( x ) f ( x ) d \sigma ( x ) , \quad a ^ { * } ( f ) = \int _ { M } a ^ { * } ( x ) \overline { f } ( x ) d \sigma ( x ).$ ; confidence 0.180
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010059.png ; $k _ { \overline{z} }$ ; confidence 0.180
+
26. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010059.png ; $k _ { z }$ ; confidence 0.180
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026063.png ; $A _ { 1 } = A ^ { * } / \cap _ { i \in N } m ^ { i } A ^ { * }$ ; confidence 0.180
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026063.png ; $A _ { 1 } = A ^ { * } / \cap _ { i \in \mathbf{N} } m ^ { i } A ^ { * }$ ; confidence 0.180
  
 
28. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a1201704.png ; $\int _ { a _ { 1 } } ^ { a _ { 2 } } p ( a , t ) d a$ ; confidence 0.180
 
28. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a1201704.png ; $\int _ { a _ { 1 } } ^ { a _ { 2 } } p ( a , t ) d a$ ; confidence 0.180
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32. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130230/c1302302.png ; $\sim _ { c }$ ; confidence 0.179
 
32. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130230/c1302302.png ; $\sim _ { c }$ ; confidence 0.179
  
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026074.png ; $\frac { d } { d t } U _ { k } = F _ { k } ( t , U _ { k } ) , 0 < t , U _ { k } ( 0 ) = u ^ { 0 } h,$ ; confidence 0.179
+
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026074.png ; $\frac { d } { d t } U _ { h } = F _ { h } ( t , U _ { h } ) , 0 < t , U _ { h } ( 0 ) = u ^ { 0_h } ,$ ; confidence 0.179
  
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170120.png ; $g ( z ) = z ^ { r } - ( a _ { 0 } + \ldots + a _ { r } - 1 ^ { r - 1 } )$ ; confidence 0.179
+
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170120.png ; $g ( z ) = z ^ { r } - ( a _ { 0 } + \ldots + a _ { r - 1 } ^ { r - 1 } )$ ; confidence 0.179
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004049.png ; $p x$ ; confidence 0.179
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004049.png ; $p_{X} $ ; confidence 0.179
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { = B } b )$ ; confidence 0.179
+
36. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b ^G = B } b )$ ; confidence 0.179
  
 
37. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ {M}$ ; confidence 0.179
 
37. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ {M}$ ; confidence 0.179
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38. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014018.png ; $\text{Pf}$ ; confidence 0.179
 
38. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014018.png ; $\text{Pf}$ ; confidence 0.179
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027076.png ; $\rho _ { c \varepsilon } ( g ) = g ( \sqrt { \alpha } ) / \sqrt { \alpha }$ ; confidence 0.179
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027076.png ; $\rho _ { a } ( g ) = g ( \sqrt { a } ) / \sqrt { a }$ ; confidence 0.179
  
40. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110112.png ; $( \frac { \partial \phi } { \partial t } ) | _ { x _ { k } 0 } = ( \frac { \partial \phi } { \partial t } ) | _ { x _ { i } } + ( \frac { \partial \phi } { \partial x _ { i } } ) | _ { t } ( \frac { \partial x _ { i } } { \partial t } ) | _ { x _ { k } 0 }.$ ; confidence 0.179
+
40. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110112.png ; $\left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { k }^0 } = \left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { i } } + \left( \frac { \partial \phi } { \partial x _ { i } } \right) | _ { t } \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k }^ 0 }.$ ; confidence 0.179
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180166.png ; $Id _ { i j } = \{ q \in \square ^ { \omega } U : q_i = q_j \}$ ; confidence 0.179
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180166.png ; $\operatorname {Id} _ { i j } = \{ q \in \square ^ { \omega } U : q_i = q_j \}$ ; confidence 0.179
  
 
42. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300155.png ; $C_{B ( m , n )} ( G )$ ; confidence 0.179
 
42. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300155.png ; $C_{B ( m , n )} ( G )$ ; confidence 0.179
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180332.png ; $C ( g ) = \nabla A ( g ) - \tau ^ { - 1_3 } \nabla A ( g ) \in \bigotimes \square ^ { 3 } \epsilon$ ; confidence 0.179
+
43. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180332.png ; $C ( g ) = \nabla A ( g ) - \tau ^ { - 1_3 } \nabla A ( g ) \in \bigotimes \square ^ { 3 } \mathcal{E},$ ; confidence 0.179
  
 
44. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960151.png ; $b \in F$ ; confidence 0.178
 
44. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960151.png ; $b \in F$ ; confidence 0.178
  
45. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520310.png ; $A = \sum _ { m , n \geq 0 } \int K _ { q , m } ( x _ { 1 } , \ldots , x _ { n } ; y _ { 1 } , \ldots , y _ { m } ) \times$ ; confidence 0.178
+
45. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520310.png ; $A = \sum _ { m , n \geq 0 } \int K _ { n , m } ( x _ { 1 } , \ldots , x _ { n } ; y _ { 1 } , \ldots , y _ { m } ) \times$ ; confidence 0.178
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010168.png ; $f ( z ) = \sum _ { k = 1 } ^ { \infty } \frac { c _ { k } } { ( 1 + \langle z , \alpha _ { k 1 } \rangle \rangle \ldots ( 1 + \langle z , \alpha _ { k n } \rangle ) },$ ; confidence 0.178
+
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010168.png ; $f ( z ) = \sum _ { k = 1 } ^ { \infty } \frac { c _ { k } } { ( 1 + \langle z , a _ { k 1 } \rangle ) \ldots ( 1 + \langle z , a _ { k n } \rangle ) },$ ; confidence 0.178
  
47. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300905.png ; $u _ { t } + u _ { x } + u u _ { x } + u _ { X X X } = 0$ ; confidence 0.178
+
47. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300905.png ; $u _ { t } + u _ { x } + u u _ { x } + u _ { xxx } = 0.$ ; confidence 0.178
  
 
48. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028032.png ; $k _ { n } ( z )$ ; confidence 0.178
 
48. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028032.png ; $k _ { n } ( z )$ ; confidence 0.178
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50. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840172.png ; $\pi _ { \kappa}$ ; confidence 0.178
 
50. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840172.png ; $\pi _ { \kappa}$ ; confidence 0.178
  
51. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004051.png ; $\times \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } s _ { j } d s _ { 1 } \wedge \ldots \wedge [ d s _ { j } ] \wedge \ldots \wedge d s _ { n } \wedge \omega ( \zeta ),$ ; confidence 0.178
+
51. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004051.png ; $\times \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } s _ { j } d s _ { 1 } \bigwedge \ldots \bigwedge [ d s _ { j } ] \bigwedge \ldots \bigwedge d s _ { n } \bigwedge \omega ( \zeta ),$ ; confidence 0.178
  
52. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000198.png ; $[ [ \lambda x \cdot M ] ] _ { \rho } = \lambda d [ [ M ] ] _ { \rho ( x : = d ) }$ ; confidence 0.178
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000198.png ; $[ [ \lambda x . M ] ] _ { \rho } = \lambda d [ [ M ] ] _ { \rho ( x : = d ) }$ ; confidence 0.178
  
53. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006030.png ; $a_{k + 1}$ ; confidence 0.177
+
53. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006030.png ; $a_{k - 1}$ ; confidence 0.177
  
54. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130030/r1300306.png ; $\frac { p } { q } = a _ { n } + \frac { 1 } { a _ { n } - 1 + \ldots + \frac { 1 } { i k _ { 1 } } }.$ ; confidence 0.177
+
54. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130030/r1300306.png ; $\frac { p } { q } = a _ { n } + \frac { 1 } { a _ { n - 1} + \ldots + \frac { 1 } { a_ { 1 } } }.$ ; confidence 0.177
  
 
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031061.png ; $\mathcal{Q}$ ; confidence 0.177
 
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031061.png ; $\mathcal{Q}$ ; confidence 0.177
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58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003012.png ; $\operatorname{ind} ( P ) : = \operatorname { dim } ( \operatorname{ker} ( P ) ) - \operatorname { dim } ( \operatorname { coker } ( P ) ).$ ; confidence 0.177
 
58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003012.png ; $\operatorname{ind} ( P ) : = \operatorname { dim } ( \operatorname{ker} ( P ) ) - \operatorname { dim } ( \operatorname { coker } ( P ) ).$ ; confidence 0.177
  
59. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013035.png ; $L _ { \alpha } ^ { p } ( G )$ ; confidence 0.177
+
59. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013035.png ; $L _ { a } ^ { p } ( G )$ ; confidence 0.177
  
 
60. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023077.png ; $m D$ ; confidence 0.176
 
60. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023077.png ; $m D$ ; confidence 0.176
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200146.png ; $\hat { g }$ ; confidence 0.176
+
61. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200146.png ; $\hat { \mathfrak{g} }$ ; confidence 0.176
  
 
62. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043068.png ; $\Psi ( y \bigotimes y ) = q ^ { 2 } y \otimes y \Psi ( x \otimes y ) = q y \otimes x$ ; confidence 0.176
 
62. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043068.png ; $\Psi ( y \bigotimes y ) = q ^ { 2 } y \otimes y \Psi ( x \otimes y ) = q y \otimes x$ ; confidence 0.176
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65. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m06459090.png ; $\{ c _ { n } \} _ { n = - \infty } ^ { \infty }$ ; confidence 0.176
 
65. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m06459090.png ; $\{ c _ { n } \} _ { n = - \infty } ^ { \infty }$ ; confidence 0.176
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019042.png ; $M _ { N } = [ m _ { i j } ] _ { i , j = 0 } ^ { n }$ ; confidence 0.176
+
66. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019042.png ; $M _ { n } = [ m _ { i j } ] _ { i , j = 0 } ^ { n }$ ; confidence 0.176
  
67. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012052.png ; $f _ { i } ^{( t + 1 ) }= f _ { i }^{ ( t )} \sum _ { j } ( \frac { h _ { i j } } { \sum _ { k } f _ { k } ( t ) h _ { k j } ) } ) g _ { j } , t = 1,2 ,\dots $ ; confidence 0.176
+
67. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012052.png ; $f _ { i } ^{( t + 1 ) }= f _ { i }^{ ( t )} \sum _ { j } \left( \frac { h _ { i j } } { \sum _ { k } f _ { k }^{ ( t )} h _ { k j } ) } \right) g _ { j } , t = 1,2 ,\dots $ ; confidence 0.176
  
68. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003022.png ; $H ^ { \bullet } ( \Gamma \backslash X , \widetilde { \mathcal{M} \otimes C } ) \xrightarrow{\sim} H ^ { \bullet } ( \Gamma \backslash X , \Omega ^ { \bullet } ( \tilde { \mathcal{M} } _ { C } ) ),$ ; confidence 0.176
+
68. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003022.png ; $H ^ { \bullet } ( \Gamma \backslash X , \widetilde { \mathcal{M} \bigotimes \mathbf{C} } ) \overset{\sim}{\rightarrow} H ^ { \bullet } ( \Gamma \backslash X , \Omega ^ { \bullet } ( \widetilde { \mathcal{M} } _ { \mathbf{C} } ) ),$ ; confidence 0.176
  
69. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012026.png ; $\{ x \in \hat { K } _ { p } : | x - a | _ { p } \leq \epsilon \},$ ; confidence 0.176
+
69. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012026.png ; $\left\{ x \in \widehat { K } _ { \operatorname {p} } : | x - a | _ { \operatorname {p} } \leq \epsilon \right\}$ ; confidence 0.176
  
 
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a1302608.png ; $c _ { n }$ ; confidence 0.175
 
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a1302608.png ; $c _ { n }$ ; confidence 0.175
Line 142: Line 142:
 
71. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110182.png ; $e ^ { h |x | ^ { 1 / s } }$ ; confidence 0.175
 
71. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110182.png ; $e ^ { h |x | ^ { 1 / s } }$ ; confidence 0.175
  
72. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002095.png ; $E [ X _ { \infty } \operatorname { log } ^ { + } X _ { \infty } ]$ ; confidence 0.175
+
72. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002095.png ; $\mathsf{E} [ X _ { \infty } \operatorname { log } ^ { + } X _ { \infty } ]$ ; confidence 0.175
  
73. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110127.png ; $( a \circ b ) ( x , \xi ) = \int \int e ^ { - 2 i \pi y \dot \eta } a ( x , \xi + \eta ) b ( y + x , \xi ) d y d \eta,$ ; confidence 0.175
+
73. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110127.png ; $( a \circ b ) ( x , \xi ) = \int \int e ^ { - 2 i \pi y . \eta } a ( x , \xi + \eta ) b ( y + x , \xi ) d y d \eta,$ ; confidence 0.175
  
74. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003044.png ; $\rightarrow H ^ { \bullet } ( \Gamma \backslash X , \tilde { \mathcal{M} } ) \stackrel { r } { \rightarrow } H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \tilde { \mathcal{M} } )\rightarrow \dots$ ; confidence 0.175
+
74. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003044.png ; $\rightarrow H ^ { \bullet } ( \Gamma \backslash X , \widetilde { \mathcal{M} } ) \stackrel { r } { \rightarrow } H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \widetilde { \mathcal{M} } )\rightarrow \dots .$ ; confidence 0.175
  
 
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040688.png ; $\textbf{Fm} _ { P }$ ; confidence 0.175
 
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040688.png ; $\textbf{Fm} _ { P }$ ; confidence 0.175
Line 152: Line 152:
 
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $\mathcal{L}$ ; confidence 0.175
 
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $\mathcal{L}$ ; confidence 0.175
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023035.png ; $( z _ { 1 } e ^ { i t p _ { 1 } } 1 , \ldots , z _ { N } e ^ { i t p _ { N } } ) \in \Omega$ ; confidence 0.175
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023035.png ; $( z _ { 1 } e ^ { i t p _ { 1 } } 1 , \ldots , z _ { n } e ^ { i t p _ { n } } ) \in \Omega$ ; confidence 0.175
  
78. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009057.png ; $= \{ \frac { \beta } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { z } \frac { h ( \xi ) - \alpha i } { \xi ^ { 1 + \alpha \beta i / ( 1 + \alpha ^ { 2 } ) } } g ( \xi ) ^ { \beta / ( 1 + \alpha ^ { 2 } ) } d \xi \} ^ { ( 1 + \alpha i ) / \beta }$ ; confidence 0.175
+
78. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009057.png ; $= \left\{ \frac { \beta } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { z } \frac { h ( \xi ) - \alpha i } { \xi ^ { 1 + \alpha \beta i / ( 1 + \alpha ^ { 2 } ) } } g ( \xi ) ^ { \beta / ( 1 + \alpha ^ { 2 } ) } d \xi \right\} ^ { ( 1 + \alpha i ) / \beta }$ ; confidence 0.175
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100117.png ; $ \varphi^\vee ( \chi ) = \varphi ( \chi ^ { - 1 } )$ ; confidence 0.175
+
79. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100117.png ; $ \check{\varphi} ( \chi ) = \varphi ( \chi ^ { - 1 } )$ ; confidence 0.175
  
80. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290209.png ; $H _ { \mathfrak{m} } ^ { i } ( R ) = [ H _ { \mathfrak{m} } ^ { i } ( R ) ] _ { 0 }$ ; confidence 0.175
+
80. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290209.png ; $H _ { \mathfrak{M} } ^ { i } ( R ) = [ H _ { \mathfrak{M} } ^ { i } ( R ) ] _ { 0 }$ ; confidence 0.175
  
81. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022038.png ; $v ^ { \sharp }$ ; confidence 0.175
+
81. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022038.png ; $V ^ { \natural }$ ; confidence 0.175
  
82. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170116.png ; $Z ^ { \prime } = a _ { 0 } 1 + \ldots + a _ { r - 1 } Z ^ { r - 1 }$ ; confidence 0.174
+
82. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170116.png ; $Z ^ { r } = a _ { 0 } 1 + \ldots + a _ { r - 1 } Z ^ { r - 1 }$ ; confidence 0.174
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025022.png ; $\alpha _ { j } \in V$ ; confidence 0.174
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025022.png ; $a _ { i } \in V$ ; confidence 0.174
  
84. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170173.png ; $1 , \dots , r _ { m } \in C [ z , z ]$ ; confidence 0.174
+
84. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170173.png ; $1 , \dots , r _ { m } \in \mathbf{C} [ z , \overline{z} ]$ ; confidence 0.174
  
85. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019034.png ; $\operatorname { Tr } A B = \int _ { \mathbf{R} ^ { 3 N } \times \mathbf{R} ^ { 3 N } } A _ { w } B _ { w } d x d p.$ ; confidence 0.174
+
85. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019034.png ; $\operatorname { Tr } A B = \int _ { \mathbf{R} ^ { 3 N } \times \mathbf{R} ^ { 3 N } } A _ { \mathbf{w} } B _ { \mathbf{w} } d x d p.$ ; confidence 0.174
  
 
86. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005047.png ; $\mathcal{D} _ { n } ^ { r }$ ; confidence 0.174
 
86. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005047.png ; $\mathcal{D} _ { n } ^ { r }$ ; confidence 0.174
  
87. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016011.png ; $L^+G _ { C } = \left\{ \begin{array}{l}{  \\ \gamma \in L G _ { C } :\\ }\end{array} \begin{array}{c}{  \gamma \text{ extends} \\ \text{ holomorphically in the disc } }\\{ \text { to a group } "\square" \text{valued mapping }}\end{array}  \right\}.$ ; confidence 0.174
+
87. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016011.png ; $L^+G _ { \mathbf{C} } = \left\{ \begin{array}{l}{  \\ \gamma \in L G _ { \mathbf{C} } :\\ }\end{array} \begin{array}{c}{  \gamma \text{ extends} \\ \text{ holomorphically in the disc } }\\{ \text { to a group } "\square" \text{valued mapping }}\end{array}  \right\}.$ ; confidence 0.174
  
88. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130100.png ; $f , g _ { 1 } , \dots , g _ { m } \in \mathbf{Z} [ X _ { 1 } , \dots , X _ { N } ]$ ; confidence 0.174
+
88. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130100.png ; $f , g _ { 1 } , \dots , g _ { m } \in \mathbf{Z} [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.174
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066041.png ; $\| T _ { 1 } + i t ( f ) \| _ { \infty } \leq C \| f \|_\infty$ ; confidence 0.173
+
89. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066041.png ; $\| T _ { 1 + i t} ( f ) \| _ { \infty } \leq C \| f \|_\infty$ ; confidence 0.173
  
 
90. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005082.png ; $\sum ^ { i _ { 1 }  , \dots , i _ { s }}$ ; confidence 0.173
 
90. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005082.png ; $\sum ^ { i _ { 1 }  , \dots , i _ { s }}$ ; confidence 0.173
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013033.png ; $\phi_{-} ^ { -1 } ( \frac { \partial } { \partial x } - P _ { 0 z } ) \phi _ { - } = \frac { \partial } { \partial x } - P,$ ; confidence 0.173
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013033.png ; $\phi_{-} ^ { -1 } \left( \frac { \partial } { \partial x } - P _ { 0 }z \right) \phi _ { - } = \frac { \partial } { \partial x } - P,$ ; confidence 0.173
  
92. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007029.png ; $\Delta g = g \otimes g , \epsilon g = 1 , S g = g ^ { - 1 } = g ^ { n - 1 },$ ; confidence 0.173
+
92. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007029.png ; $\Delta g = g \bigotimes g , \epsilon g = 1 , S g = g ^ { - 1 } = g ^ { n - 1 },$ ; confidence 0.173
  
93. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k1300701.png ; $u _ { t } + u _ { X X X X } + u _ { X X } + u u _ { X } = 0 , \quad x \in [ - L / 2 , L / 2 ],$ ; confidence 0.173
+
93. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k1300701.png ; $u _ { t } + u _ { xxxx } + u _ { xx } + u u _ { x } = 0 , \quad x \in [ - L / 2 , L / 2 ],$ ; confidence 0.173
  
94. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043045.png ; $\Delta x ^ { n } = \sum _ { m = 0 } ^ { n } \left[ \begin{array} { c } { n } \\ { m } \end{array} \right] _ { q } x ^ { n } \otimes x ^ { n - m } , S x ^ { n } = ( - 1 ) ^ { n } q ^ { n ( n - 1 ) / 2 } x ^ { n },$ ; confidence 0.173
+
94. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043045.png ; $\Delta x ^ { n } = \sum _ { m = 0 } ^ { n } \left[ \begin{array} { c } { n } \\ { m } \end{array} \right] _ { q } x ^ { n } \bigotimes x ^ { n - m } , S x ^ { n } = ( - 1 ) ^ { n } q ^ { n ( n - 1 ) / 2 } x ^ { n },$ ; confidence 0.173
  
95. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420103.png ; $\Psi _ { V , W } ( v \otimes w ) = \beta ( | v | , | w | ) w \otimes v$ ; confidence 0.173
+
95. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420103.png ; $\Psi _ { V , W } ( v \bigotimes w ) = \beta ( | v | , | w | ) w \bigotimes v$ ; confidence 0.173
  
96. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l1300108.png ; $k = ( k _ { 1 } , \dots , k _ { N } ) \in \mathbf{Z} ^ { m }$ ; confidence 0.172
+
96. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l1300108.png ; $k = ( k _ { 1 } , \dots , k _ { n } ) \in \mathbf{Z} ^ { n }$ ; confidence 0.172
  
 
97. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661029.png ; $R _ { ab }$ ; confidence 0.172
 
97. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661029.png ; $R _ { ab }$ ; confidence 0.172
  
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030058.png ; $\mathcal{A} ( \eta ) = - \sum _ { k , l = 1 } ^ { N } ( \frac { \partial } { \partial y _ { k } } + i \eta _ { k } ) ( \alpha _ { k l } ( y ) ( \frac { \partial } { \partial y _ { l } } + i \eta _ { l } ) )m$ ; confidence 0.172
+
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030058.png ; $\mathcal{A} ( \eta ) = - \sum _ { k , \operatorname {l} = 1 } ^ { N } \left( \frac { \partial } { \partial y _ { k } } + i \eta _ { k } \right) \left( a _ { k \operatorname {l} } ( y ) \left( \frac { \partial } { \partial y _ { \operatorname {l} } } + i \eta _ { \operatorname {l} } \right) \right),$ ; confidence 0.172
  
 
99. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002038.png ; $l \in V ^ { \prime }$ ; confidence 0.172
 
99. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002038.png ; $l \in V ^ { \prime }$ ; confidence 0.172
  
100. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030710/d03071034.png ; $\hat { F }$ ; confidence 0.172
+
100. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030710/d03071034.png ; $\tilde { F }$ ; confidence 0.172
  
101. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031031.png ; $e _ { N } ( C _ { d } ^ { k } ) \asymp n ^ { - k / d } \text { or } n ( \epsilon , C _ { d } ^ { k } ) \asymp \epsilon ^ { - d / k }.$ ; confidence 0.172
+
101. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031031.png ; $e _ { n } ( C _ { d } ^ { k } ) \asymp n ^ { - k / d } \text { or } n ( \epsilon , C _ { d } ^ { k } ) \asymp \epsilon ^ { - d / k }.$ ; confidence 0.172
  
 
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050239.png ; $G ^ { \# } ( n ) = A _ { G } q ^ { n } + O ( q ^ { \nu  n } ) \text { as } n \rightarrow \infty.$ ; confidence 0.172
 
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050239.png ; $G ^ { \# } ( n ) = A _ { G } q ^ { n } + O ( q ^ { \nu  n } ) \text { as } n \rightarrow \infty.$ ; confidence 0.172
Line 208: Line 208:
 
104. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200904.png ; $P ( \xi ) = \sum _ { J } a _ { J } \xi ^ { J }$ ; confidence 0.172
 
104. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200904.png ; $P ( \xi ) = \sum _ { J } a _ { J } \xi ^ { J }$ ; confidence 0.172
  
105. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004013.png ; $\lambda _ { 1 } \geq \frac { \pi  { j } _ { 1 0 } ^ { 2 } } { A },$ ; confidence 0.172
+
105. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004013.png ; $\lambda _ { 1 } \geq \frac { \pi  { j } _ {0,1 } ^ { 2 } } { A },$ ; confidence 0.172
  
106. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021030.png ; $k = 0 , \ldots , n = \operatorname { dim } a$ ; confidence 0.172
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021030.png ; $k = 0 , \ldots , n = \operatorname { dim } \mathfrak{a}$ ; confidence 0.172
  
107. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023013.png ; $T = ( \mathfrak { c } _ { i } - j ) _ { i , j=0 } ^ { n - 1 } $ ; confidence 0.172
+
107. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023013.png ; $T = ( c _ { i - j} ) _ { i , j=0 } ^ { n - 1 } $ ; confidence 0.172
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040193.png ; $\tilde { \Omega } _ { D } F$ ; confidence 0.172
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040193.png ; $\widetilde { \Omega } _ { \mathcal{D} } F$ ; confidence 0.172
  
 
109. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280139.png ; $Z ^ { n , n - 1 }$ ; confidence 0.172
 
109. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280139.png ; $Z ^ { n , n - 1 }$ ; confidence 0.172
  
110. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327016.png ; $\mathfrak { q } \notin \bar { A }$ ; confidence 0.172
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327016.png ; $ q \notin \bar { A }$ ; confidence 0.172
  
111. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100102.png ; $\epsilon = ( \epsilon 0 , \dots , \epsilon _ { n } )$ ; confidence 0.171
+
111. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100102.png ; $\epsilon = ( \epsilon_{0} , \dots , \epsilon _ { n } )$ ; confidence 0.171
  
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008078.png ; $E [ W ] _ { P S } = \frac { \rho \dot { b } } { 1 - \rho },$ ; confidence 0.171
+
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008078.png ; $\mathsf{E} [ W ] _ { \operatorname {PS} } = \frac { \rho b } { 1 - \rho },$ ; confidence 0.171
  
 
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041036.png ; $b _ { n , n  + 1} = 1$ ; confidence 0.171
 
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041036.png ; $b _ { n , n  + 1} = 1$ ; confidence 0.171
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022012.png ; $w _ v$ ; confidence 0.171
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022012.png ; $w _ \mu $ ; confidence 0.171
  
115. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003051.png ; $( ( \_ ) \otimes _ { F_p }  H ^ { * } Z )$ ; confidence 0.171
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003051.png ; $( ( \_ ) \otimes _ { \mathbf{F}_p }  H ^ { * } Z )$ ; confidence 0.171
  
116. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020223.png ; $Y$ ; confidence 0.171
+
116. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020223.png ; $\underline{v}$ ; confidence 0.171
  
117. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012031.png ; $V ( \hat { K } _ { p } )$ ; confidence 0.171
+
117. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012031.png ; $V ( \widehat { K } _ { \operatorname {p} } )$ ; confidence 0.171
  
118. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005042.png ; $J ^ { \prime } _ { 0 } ( R ^ { n } , R )$ ; confidence 0.170
+
118. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005042.png ; $J ^{ r_0} ( \mathbf{R} ^ { n } , \mathbf{R} )$ ; confidence 0.170
  
119. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100196.png ; $E _ { i } ^ { * } + 1$ ; confidence 0.170
+
119. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100196.png ; $E ^{r+1} $ ; confidence 0.170
  
120. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014085.png ; $T _ { z x }$ ; confidence 0.170
+
120. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014085.png ; $T _ { z u}$ ; confidence 0.170
  
121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090348.png ; $U z$ ; confidence 0.170
+
121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090348.png ; $\mathcal{U}_{ \mathbf{Z}}$ ; confidence 0.170
  
122. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d12019015.png ; $\Delta Dir$ ; confidence 0.170
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d12019015.png ; $\Delta_{\operatorname{ Dir}}$ ; confidence 0.170
  
123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002012.png ; $v ^ { n }$ ; confidence 0.170
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002012.png ; $\hat{v} $ ; confidence 0.170
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017038.png ; $\left. \begin{array} { l } { p _ { t } ( \alpha , t ) + p _ { \alpha } ( \alpha , t ) + \mu ( \alpha , S ( t ) ) p ( \alpha , t ) = 0 } \\ { p ( 0 , t ) = \int ^ { + \infty } \beta ( \sigma , s ( t ) ) p ( \sigma , t ) d \sigma } \\ { p ( \alpha , 0 ) = p 0 } \\ { S ( t ) = \int \gamma ( \sigma ) p ( \sigma , t ) d \sigma } \end{array} \right.$ ; confidence 0.169
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017038.png ; $ \begin{cases} { p _ { t } ( a , t ) + p _ { a } ( a , t ) + \mu ( a , S ( t ) ) p ( a , t ) = 0 }, \\ { p ( 0 , t ) = \int ^ { + \infty_0 } \beta ( \sigma , s ( t ) ) p ( \sigma , t ) d \sigma }, \\ { p ( a , 0 ) = p_ 0(a) }, \\ { S ( t ) = \int^{+\infty_0} \gamma ( \sigma ) p ( \sigma , t ) d \sigma . } \end{cases}. $ ; confidence 0.169
  
125. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100160.png ; $u \| _ { A _ { p } ( G ) } \leq C$ ; confidence 0.169
+
125. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100160.png ; $\|v \| _ { A _ { p } ( G ) } \leq C$ ; confidence 0.169
  
126. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200117.png ; $\alpha _ { j } ( h _ { i } ) = \alpha _ { j }$ ; confidence 0.169
+
126. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200117.png ; $\alpha _ { j } ( h _ { i } ) = a _ {i j }$ ; confidence 0.169
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340145.png ; $M ( \tilde { x } , \tilde { y } ) / R$ ; confidence 0.169
+
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340145.png ; $\mathcal{M} ( \tilde { x } , \tilde { y } ) / \mathbf{R}$ ; confidence 0.169
  
128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020036.png ; $( f , g ) = \sum _ { \nu = 1 } ^ { r } f ( x _ { \nu } ) g ( x _ { \nu } ) + \int _ { x } ^ { b } f ^ { ( y ) } ( x ) g ^ { ( y ) } ( x ) d x$ ; confidence 0.169
+
128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020036.png ; $( f , g ) = \sum _ { \nu = 1 } ^ { r } f ( x _ { \nu } ) g ( x _ { \nu } ) + \int _ { a } ^ { b } f ^ { ( r ) } ( x ) g ^ { ( r ) } ( x ) d x$ ; confidence 0.169
  
129. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017054.png ; $N _ { c }$ ; confidence 0.169
+
129. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017054.png ; $\mathcal{N} _ { \epsilon}$ ; confidence 0.169
  
130. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050150/i0501503.png ; $1$ ; confidence 0.169
+
130. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050150/i0501503.png ; $\mathfrak{C}$ ; confidence 0.169
  
131. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w13005012.png ; $W ( G , K ) = \{ \bigwedge ( \mathfrak { g } / \mathfrak { k } ) ^ { * } \otimes S \mathfrak { g } ^ { * } \} ^ { K }$ ; confidence 0.169
+
131. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w13005012.png ; $W ( G , K ) = \{ \bigwedge ( \mathfrak { g } / \mathfrak { k } ) ^ { * } \bigotimes S \mathfrak { g } ^ { * } \} ^ { K }.$ ; confidence 0.169
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ {i j k }$ ; confidence 0.169
  
133. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620133.png ; $\operatorname { lim } _ { N \rightarrow \infty } \frac { \int _ { 0 } ^ { N } | y ( x , \lambda ) | ^ { 2 } d x } { \int _ { | v ( x , \lambda ) | ^ { 2 } d x } } = 0$ ; confidence 0.169
+
133. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620133.png ; $\operatorname { lim } _ { N \rightarrow \infty } \frac { \int _ { 0 } ^ { N } | y ( x , \lambda ) | ^ { 2 } d x } { \int ^{N_0} | v ( x , \lambda ) | ^ { 2 } d x } = 0.$ ; confidence 0.169
  
134. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016038.png ; $\| g _ { x } \|$ ; confidence 0.169
+
134. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016038.png ; $\| g _ { n } \|$ ; confidence 0.169
  
135. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005081.png ; $\left.\begin{array} { c c } { T } & { ( I - T T ^ { * } ) ^ { 1 / 2 } } \\ { ( I - T ^ { * } T ) ^ { 1 / 2 } } & { T ^ { * } } \end{array} \right\}$ ; confidence 0.169
+
135. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005081.png ; $\left(\begin{array} { c c } { T } & { ( I - T T ^ { * } ) ^ { 1 / 2 } } \\ { ( I - T ^ { * } T ) ^ { 1 / 2 } } & { T ^ { * } } \end{array} \right)$ ; confidence 0.169
  
136. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007013.png ; $M ( P ) = | \alpha _ { 0 } | \prod _ { k = 1 } ^ { \phi } \operatorname { max } ( | \alpha _ { k } | , 1 )$ ; confidence 0.169
+
136. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007013.png ; $M ( P ) = | a _ { 0 } | \prod _ { k = 1 } ^ { d } \operatorname { max } ( | \alpha _ { k } | , 1 )$ ; confidence 0.169
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040313.png ; $\epsilon _ { 2,0 } ^ { A } ( \alpha , b , c , d ) = \epsilon _ { i , 1 } ^ { A } ( \alpha , b , c , d ) \text { for all } i < m$ ; confidence 0.169
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040313.png ; $\text{iff }\epsilon _ { i,0 } ^ { \mathbf{A} } ( a , b , c , d ) = \epsilon _ { i , 1 } ^ { \mathbf{A} } ( a , b , c , d ) \text { for all } i < m,$ ; confidence 0.169
  
138. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290118.png ; $f ^ { \prime } O p$ ; confidence 0.169
+
138. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290118.png ; $\textbf{FTOP}$ ; confidence 0.169
  
139. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016065.png ; $\mathfrak { Q } [ \Lambda ]$ ; confidence 0.169
+
139. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016065.png ; $\mathfrak { A } [ \Lambda ]$ ; confidence 0.169
  
140. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f1302801.png ; $\left\{ \begin{array} { l l } { \operatorname { min } } & { c ^ { T } x } \\ { s.t. } & { A x \leq b } \end{array} \right.$ ; confidence 0.169
+
140. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f1302801.png ; $\left\{ \begin{array} { l l } { \operatorname { min } } & { \mathbf{c} ^ { T } \mathbf{x} } \\ { \operatorname {s.t.} } & { A \mathbf{x} \leq \mathbf{b}. } \end{array} \right. $ ; confidence 0.169
  
141. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067011.png ; $\left. \begin{array} { l l l } { \square } & { C } & { \square } \\ { \square _ { f } } & { \swarrow } & { \square } & { \searrow _ { g } } \\ { A } & { } & { \square } & { B } \end{array} \right.$ ; confidence 0.169
+
141. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067011.png ; $\left. \begin{array} { l l l } { \square } & {} & { C } & { \square } \\ { \square _ { f } } & { \swarrow } & { \square } & { \searrow _ { g } } \\ { A } & { } & { \square } & { B } \end{array} \right.$ ; confidence 0.169
  
 
142. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030036.png ; $h \equiv 0$ ; confidence 0.169
 
142. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030036.png ; $h \equiv 0$ ; confidence 0.169
  
143. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h1200406.png ; $A \subset \not B$ ; confidence 0.168
+
143. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h1200406.png ; $A \subset_{*} B$ ; confidence 0.168
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970216.png ; $X ^ { Y }$ ; confidence 0.168
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970216.png ; $X ^ { r }$ ; confidence 0.168
  
145. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120131.png ; $M _ { i n s }$ ; confidence 0.168
+
145. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120131.png ; $M _ { \operatorname {ins} }$ ; confidence 0.168
  
146. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030084.png ; $g _ { m } ( \eta ) = \int _ { R ^ { N } } g ( y ) e ^ { - i \eta y \overline { \phi } } m ( y ; \eta ) d y , \forall \eta \in Y ^ { \prime }$ ; confidence 0.168
+
146. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030084.png ; $\hat{g} _ { m } ( \eta ) = \int _ { \mathbf{R} ^ { N } } g ( y ) e ^ { - i \eta . y} \overline { \phi } m ( y ; \eta ) d y , \forall \eta \in Y ^ { \prime }.$ ; confidence 0.168
  
147. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210126.png ; $R _ { x , h } ( A )$ ; confidence 0.168
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210126.png ; $R _ { n , h } ( A )$ ; confidence 0.168
  
148. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140150.png ; $\Phi$ ; confidence 0.168
+
148. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140150.png ; $\operatorname{det} \Phi$ ; confidence 0.168
  
 
149. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148049.png ; $a _ { n }$ ; confidence 0.168
 
149. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148049.png ; $a _ { n }$ ; confidence 0.168
  
150. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011045.png ; $J _ { b - a } ( \sqrt { x } ) Y _ { b - a } ( \sqrt { x } ) = - \sqrt { x } x ^ { - a } G _ { 13 } ^ { 20 } ( x | \begin{array} { c } { a + 1 / 2 } \\ { b , a , 2 a - b } \end{array} )$ ; confidence 0.168
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011045.png ; $J _ { b - a } ( \sqrt { x } ) Y _ { b - a } ( \sqrt { x } ) = - \sqrt { x } x ^ { - a } G _ { 13 } ^ { 20 } \left( x \left| \begin{array} { c } { a + 1 / 2 } \\ { b , a , 2 a - b } \end{array} \right. \right).$ ; confidence 0.168
  
151. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180471.png ; $\pi : N \rightarrow N$ ; confidence 0.168
+
151. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180471.png ; $\widetilde{\pi} : \widetilde{N} \rightarrow N$ ; confidence 0.168
  
152. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700112.png ; $i 1 , \ldots , i _ { n }$ ; confidence 0.168
+
152. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700112.png ; $i _1 , \ldots , i _ { r }$ ; confidence 0.168
  
 
153. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004016.png ; $L _ { D }$ ; confidence 0.168
 
153. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004016.png ; $L _ { D }$ ; confidence 0.168
  
154. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250107.png ; $y ^ { * }$ ; confidence 0.168
+
154. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250107.png ; $\psi ^ { * }$ ; confidence 0.168
  
 
155. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002011.png ; $c ( x ) = c ^ { a } ( x ) T _ { a }$ ; confidence 0.167
 
155. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002011.png ; $c ( x ) = c ^ { a } ( x ) T _ { a }$ ; confidence 0.167
  
156. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013066.png ; $\hat { A } _ { y }$ ; confidence 0.167
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013066.png ; $\tilde { A } _ { n }$ ; confidence 0.167
  
157. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001029.png ; $P ^ { n } \supset C ^ { n }$ ; confidence 0.167
+
157. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001029.png ; $\mathbf{P} ^ { n } \supset \mathbf{C} ^ { n }$ ; confidence 0.167
  
158. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i1300708.png ; $e ^ { i k ^ { n } \alpha x }$ ; confidence 0.167
+
158. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i1300708.png ; $e ^ { i k \alpha x}$ ; confidence 0.167
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026097.png ; $R _ { 1 } = R ^ { * } / \cap _ { i \in N } a ^ { i } R ^ { * }$ ; confidence 0.167
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026097.png ; $R _ { 1 } = R ^ { * } / \cap _ { i \in \mathbf{N} } a ^ { i } R ^ { * }$ ; confidence 0.167
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040337.png ; $\operatorname { tg } E ( \lambda x _ { 0 } , \ldots , x _ { x } - 1 , \lambda y 0 , \ldots , y _ { n } - 1 )$ ; confidence 0.167
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040337.png ; $\vdash_\mathcal{D} E ( \lambda x _ { 0 } , \ldots , x _ { - 1} , \lambda y 0 , \ldots , y _ { n - 1} )$ ; confidence 0.167
  
 
161. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027077.png ; $h \downarrow 0$ ; confidence 0.167
 
161. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027077.png ; $h \downarrow 0$ ; confidence 0.167
  
162. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010015.png ; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } _ { p } ( \alpha , p ) } { \alpha x - p } d \alpha d p$ ; confidence 0.166
+
162. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010015.png ; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } _ { p } ( \alpha , p ) } { \alpha . x - p } d \alpha d p,$ ; confidence 0.166
  
163. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011044.png ; $J _ { x - \phi } ( 2 \sqrt { x } ) = x ^ { - ( x + b ) / 2 } G _ { 02 } ^ { 10 } ( x | a , b )$ ; confidence 0.166
+
163. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011044.png ; $J _ { a - b } ( 2 \sqrt { x } ) = x ^ { - ( a + b ) / 2 } G _ { 02 } ^ { 10 } ( x | a , b ),$ ; confidence 0.166
  
164. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003038.png ; $d j k d$ ; confidence 0.166
+
164. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003038.png ; $d_{ j k l}$ ; confidence 0.166
  
165. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602038.png ; $\left. \begin{array}{l}{ \Phi ^ { + } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int _ { \Gamma } \frac { \phi ( t ) d t } { t - t _ { 0 } } + ( 1 - \frac { \beta } { 2 \pi } ) \phi ( t _ { 0 } ) }\\{ \Phi ^ { - } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int \frac { \phi ( t ) d t } { t - t _ { 0 } } - \frac { \beta } { 2 \pi } \phi ( t _ { 0 } ) , 0 \leq \beta \leq 2 \pi }\end{array} \right.$ ; confidence 0.166
+
165. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602038.png ; $\left. \begin{array}{l}{ \Phi ^ { + } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int _ { \Gamma } \frac { \phi ( t ) d t } { t - t _ { 0 } } + \left( 1 - \frac { \beta } { 2 \pi } \right) \phi ( t _ { 0 } ) ,}\\{ \Phi ^ { - } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int_{\Gamma} \frac { \phi ( t ) d t } { t - t _ { 0 } } - \frac { \beta } { 2 \pi } \phi ( t _ { 0 } ) , 0 \leq \beta \leq 2 \pi .}\end{array} \right.$ ; confidence 0.166
  
166. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090109.png ; $z _ { \lambda } = e _ { \lambda } y _ { \lambda } \in E \otimes ^ { \gamma }$ ; confidence 0.166
+
166. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090109.png ; $z _ { \lambda } = e _ { \lambda } y _ { \lambda } \in E^{ \bigotimes r }.$ ; confidence 0.166
  
167. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004011.png ; $\operatorname { ln } \nmid 2 \rfloor$ ; confidence 0.166
+
167. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004011.png ; $\lfloor m/ 2 \rfloor$ ; confidence 0.166
  
168. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010052.png ; $\sum _ { l = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h f ( \sum _ { i = 0 } ^ { k } \beta _ { i } x _ { m + i } , \sum _ { i = 0 } ^ { k } \beta _ { i } y _ { m + i } )$ ; confidence 0.166
+
168. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010052.png ; $\sum _ { i = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h f \left( \sum _ { i = 0 } ^ { k } \beta _ { i } x _ { m + i } , \sum _ { i = 0 } ^ { k } \beta _ { i } y _ { m + i } \right).$ ; confidence 0.166
  
169. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002057.png ; $U _ { y }$ ; confidence 0.166
+
169. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002057.png ; $U _ { x }$ ; confidence 0.166
  
170. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003031.png ; $y _ { 1 } , x _ { 2 }$ ; confidence 0.166
+
170. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003031.png ; $g_{n,m}$ ; confidence 0.166
  
171. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010066.png ; $\operatorname { app } a _ { e } ( x , \alpha , p ) \subset [ - \delta , \delta ]$ ; confidence 0.166
+
171. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010066.png ; $\operatorname { supp } a _ { \operatorname {e} } ( x , \alpha , p ) \subset [ - \delta , \delta ]$ ; confidence 0.166
  
172. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070108.png ; $r ^ { 2 } = \sum \| A _ { j } | ^ { 2 }$ ; confidence 0.166
+
172. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070108.png ; $r ^ { 2 } = \sum \| A _ { j } \| ^ { 2 }$ ; confidence 0.166
  
173. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045015.png ; $U = \sum _ { i j } u ( u ^ { 2 } - 1 ) / 12$ ; confidence 0.165
+
173. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045015.png ; $U = \sum _ { u } u ( u ^ { 2 } - 1 ) / 12$ ; confidence 0.165
  
174. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026021.png ; $d [ f / \| f \| , \partial K , S ^ { x - 1 } ]$ ; confidence 0.165
+
174. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026021.png ; $d [ f / \| f \| , \partial K , S ^ { n - 1 } ]$ ; confidence 0.165
  
175. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006021.png ; $r _ { i } ( A ) : = \sum _ { j = 1 \atop j \neq i } ^ { n } | \alpha _ { i , j } |$ ; confidence 0.165
+
175. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006021.png ; $r _ { i } ( A ) : = \sum _ { j = 1 \atop j \neq i } ^ { n } | a _ { i , j } |.$ ; confidence 0.165
  
176. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019023.png ; $A _ { k ^ { \prime } }$ ; confidence 0.165
+
176. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019023.png ; $A _ { k l }$ ; confidence 0.165
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004060.png ; $\cap _ { N = 1 } ^ { \infty } U _ { n } = \cap _ { N = 1 } ^ { \infty } V _ { n } \neq \emptyset$ ; confidence 0.165
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004060.png ; $\cap _ { n = 1 } ^ { \infty } U _ { n } = \cap _ { n = 1 } ^ { \infty } V _ { n } \neq \emptyset$ ; confidence 0.165
  
178. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001015.png ; $\langle D \rangle = \sum _ { S } A ^ { T ( s ) } ( - A ^ { 2 } - A ^ { - 2 } ) ^ { | S D | - 1 }$ ; confidence 0.165
+
178. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001015.png ; $\langle D \rangle = \sum _ { s } A ^ { T ( s ) } ( - A ^ { 2 } - A ^ { - 2 } ) ^ { | s D | - 1 }, $ ; confidence 0.165
  
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s1301408.png ; $Q ( r , s ) = q r q _ { s } + 2 \sum _ { i = 1 } ^ { s } ( - 1 ) ^ { i } q + i q _ { s } - i$ ; confidence 0.165
+
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s1301408.png ; $Q_{( r , s )} = q_ r q _ { s } + 2 \sum _ { i = 1 } ^ { s } ( - 1 ) ^ { i } q_{r + i} q _ { s - i},$ ; confidence 0.165
  
180. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200158.png ; $r : b ^ { e ^ { x } } \rightarrow b ^ { e ^ { x } }$ ; confidence 0.165
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200158.png ; $r_i : \mathfrak{h}^ { e ^ { * } } \rightarrow \mathfrak{h} ^ { e ^ { * } }$ ; confidence 0.165
  
181. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520462.png ; $j \neq i 1 , \ldots , i$ ; confidence 0.165
+
181. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520462.png ; $j \neq i_ 1 , \ldots , i_l$ ; confidence 0.165
  
182. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002045.png ; $P _ { \text { ynav } }$ ; confidence 0.165
+
182. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002045.png ; $P _ { \text { max } }$ ; confidence 0.165
  
183. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340131.png ; $\alpha _ { H } ( x _ { + } ) - \alpha _ { H } ( x _ { - } )$ ; confidence 0.165
+
183. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340131.png ; $\alpha _ { H } ( \tilde{x} _ { + } ) - \alpha _ { H } ( \tilde{x} _ { - } )$ ; confidence 0.165
  
184. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020200.png ; $\gamma ( \tilde { u } _ { 1 } ) > 0$ ; confidence 0.165
+
184. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020200.png ; $\tilde{v} ( \tilde { u } _ { 1 } ) > 0$ ; confidence 0.165
  
 
185. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003012.png ; $T P U$ ; confidence 0.165
 
185. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003012.png ; $T P U$ ; confidence 0.165
Line 372: Line 372:
 
186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009025.png ; $M \stackrel { f } { \rightarrow } N \stackrel { \pi } { \rightarrow } I$ ; confidence 0.165
 
186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009025.png ; $M \stackrel { f } { \rightarrow } N \stackrel { \pi } { \rightarrow } I$ ; confidence 0.165
  
187. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028022.png ; $A x$ ; confidence 0.165
+
187. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028022.png ; $\tilde{A} \mathbf{x}$ ; confidence 0.165
  
188. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007017.png ; $v _ { t } + 1 = L _ { v t }$ ; confidence 0.165
+
188. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007017.png ; $v _ { t + 1} = L v_ t $ ; confidence 0.165
  
189. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011040.png ; $Y$ ; confidence 0.165
+
189. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011040.png ; $v$ ; confidence 0.165
  
190. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011041.png ; $H ( u , v ) ( x , \xi ) = 2 ^ { n } \langle \sigma _ { x } , \xi u , v \rangle _ { L } ^ { 2 } ( R ^ { n } ) , ( \sigma _ { x } , \xi u ) ( y ) = u ( 2 x - y ) \operatorname { exp } ( - 4 i \pi ( x - y ) . \xi$ ; confidence 0.164
+
190. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011041.png ; $\mathcal{H} ( u , v ) ( x , \xi ) = 2 ^ { n } \langle \sigma _ { x , \xi }u , v \rangle _ { L^2 ( \mathbf{R} ^ { n } )} , ( \sigma _ { x , \xi} u ) ( y ) = u ( 2 x - y ) \operatorname { exp } ( - 4 i \pi ( x - y ) . \xi).$ ; confidence 0.164
  
191. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007045.png ; $V ^ { 4 } = \oplus _ { n } V _ { n }$ ; confidence 0.164
+
191. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007045.png ; $V ^ { \natural } = \oplus _ { n } V _ { n }$ ; confidence 0.164
  
192. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007068.png ; $a , b \in C ^ { x }$ ; confidence 0.164
+
192. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007068.png ; $a , b \in \mathbf{C} ^ { n }$ ; confidence 0.164
  
193. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030181.png ; $\phi _ { * } ( \text { ind } ( D ) ) = ( - 1 ) ^ { n } ( 2 \pi i ) ^ { - m } ( Ch ( [ a ] ) T ( M ) f ^ { * } \phi ) [ T ^ { * } M ]$ ; confidence 0.164
+
193. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030181.png ; $\phi _ { * } ( \text { ind } ( D ) ) = ( - 1 ) ^ { n } \left( 2 \pi i ) ^ { - m } ( \operatorname {Ch} ( [ a ] ) \mathcal{T} ( M ) f ^ { * } \phi \right) [ T ^ { * } M ].$ ; confidence 0.164
  
194. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001029.png ; $S _ { N } ( f ; x ) = \sum _ { k \backslash k < N } \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.164
+
194. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001029.png ; $S _ { N } ( f ; x ) = \sum _ { |k| \leq N } \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.164
  
195. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010105.png ; $SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) ) , SO ( k ) / SO ( k - 4 ) \times Sp ( 1 )$ ; confidence 0.164
+
195. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010105.png ; $\operatorname {SU} ( m ) / S ( U ( m - 2 ) \times U ( 1 ) ) , \operatorname {SO} ( k ) / \operatorname {SO} ( k - 4 ) \times \operatorname {Sp} ( 1 ),$ ; confidence 0.164
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052091.png ; $w _ { n - 1 } = ( \| s _ { n } - 1 \| _ { 2 } + v _ { n - 1 } ^ { T } w ) ^ { - 1 } w , s _ { n } = - ( I - w _ { n - 1 } v _ { n - 1 } ^ { T } ) w$ ; confidence 0.164
+
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052091.png ; $w _ { n - 1 } = ( \| s _ { n - 1} \| _ { 2 } + v _ { n - 1 } ^ { T } w ) ^ { - 1 } w , s _ { n } = - ( I - w _ { n - 1 } v _ { n - 1 } ^ { T } ) w.$ ; confidence 0.164
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220248.png ; $D$ ; confidence 0.164
+
197. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220248.png ; $\mathbf{Q}$ ; confidence 0.164
  
198. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010100.png ; $\sigma U , V ^ { \prime } ( u \otimes v ) = u ^ { ( 2 ) } , v \otimes u ^ { ( 1 ) }$ ; confidence 0.164
+
198. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010100.png ; $\sigma_{ U , V} ( u \otimes v ) = u ^ { ( 2 ) } . v \otimes u ^ { ( 1 ) }$ ; confidence 0.164
  
 
199. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b11009049.png ; $F _ { 2 }$ ; confidence 0.164
 
199. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b11009049.png ; $F _ { 2 }$ ; confidence 0.164
  
200. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010059.png ; $\forall x \exists z \forall v ( v \in z \leftrightarrow \forall w ( w \in v \rightarrow w \in x ) )$ ; confidence 0.164
+
200. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010059.png ; $\forall x \exists z \forall v ( v \in z \leftrightarrow \forall w ( w \in v \rightarrow w \in x ) ).$ ; confidence 0.164
  
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054088.png ; $SL _ { \eta } ( Q _ { p } )$ ; confidence 0.164
+
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054088.png ; $\operatorname {SL} _ { n} ( \mathbf{Q} _ { p } )$ ; confidence 0.164
  
202. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046910/h04691029.png ; $V _ { i x } ^ { b } g _ { x }$ ; confidence 0.164
+
202. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046910/h04691029.png ; $\vee _ { a } ^ { b } g _ { n }$ ; confidence 0.164
  
203. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008069.png ; $f ( w ^ { H _ { i } } | _ { v ^ { H _ { i } } } ) = f ( w | v )$ ; confidence 0.164
+
203. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008069.png ; $f ( w ^ { H _ { i } } | { v ^ { H _ { i } } } ) = f ( w | v )$ ; confidence 0.164
  
204. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003020.png ; $T _ { R } ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.164
+
204. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003020.png ; $T _ { n } ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.164
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046052.png ; $\overline { D }$ ; confidence 0.164
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046052.png ; $\widetilde { D }$ ; confidence 0.164
  
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031045.png ; $n ( \epsilon , F _ { d } ) \leq K . d ^ { p } . \epsilon ^ { - \gamma } , \quad \forall d = 1,2 , \dots , \forall \epsilon \in ( 0,1 ]$ ; confidence 0.163
+
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031045.png ; $n ( \epsilon , F _ { d } ) \leq K . d ^ { p } . \epsilon ^ { - q } , \quad \forall d = 1,2 , \dots , \forall \epsilon \in ( 0,1 ],$ ; confidence 0.163
  
207. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100129.png ; $s p \hat { T } = ( \operatorname { supp } T ) ^ { - 1 }$ ; confidence 0.163
+
207. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100129.png ; $\operatorname {sp} \hat { T } = ( \operatorname { supp } T ) ^ { - 1 }$ ; confidence 0.163
  
208. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011040.png ; $S _ { n + 1 } = \{ z \in C ^ { n + 1 } : \operatorname { Im } z _ { n + 1 } > \sum ^ { n _ { j = 1 } } | z _ { j } | ^ { 2 } \}$ ; confidence 0.163
+
208. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011040.png ; $S _ { n + 1 } = \left\{ z \in \mathbf{C} ^ { n + 1 } : \operatorname { Im } z _ { n + 1 } > \sum ^ { n _ { j = 1 } } | z _ { j } | ^ { 2 } \right\},$ ; confidence 0.163
  
209. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010124.png ; $c ^ { \infty } 0$ ; confidence 0.163
+
209. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010124.png ; $C ^ { \infty_0 }(D)$ ; confidence 0.163
  
 
210. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022055.png ; $\int _ { a } ^ { b } p ^ { - 1 } \times \int _ { a } ^ { b } | q | < 4$ ; confidence 0.163
 
210. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022055.png ; $\int _ { a } ^ { b } p ^ { - 1 } \times \int _ { a } ^ { b } | q | < 4$ ; confidence 0.163
  
211. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006085.png ; $\gamma _ { l } ( 1 )$ ; confidence 0.163
+
211. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006085.png ; $\mathcal{H}^{ ( 1 )}$ ; confidence 0.163
  
212. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230154.png ; $f _ { 1 } ( T ) = W ^ { ( x - \gamma _ { 1 } - \ldots - x _ { s } ) / 2 } f ( T )$ ; confidence 0.163
+
212. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230154.png ; $f _ { 1 } ( T ) = W ^ { ( n - n _ { 1 } - \ldots - n _ { s } ) / 2 } f ( T )$ ; confidence 0.163
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a014310138.png ; $X \in y$ ; confidence 0.163
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a014310138.png ; $x \in y$ ; confidence 0.163
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018039.png ; $s \tau$ ; confidence 0.163
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018039.png ; $\operatorname{mng}_ \tau$ ; confidence 0.163
  
215. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050129.png ; $f : V ^ { N } \rightarrow W ^ { X }$ ; confidence 0.163
+
215. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050129.png ; $f : V ^ { n } \rightarrow W ^ { n }$ ; confidence 0.163
  
216. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026085.png ; $U _ { R } ( t _ { R } )$ ; confidence 0.162
+
216. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026085.png ; $U _ { h } ( t _ { n } )$ ; confidence 0.162
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060104.png ; $\dot { i } = 1 , \ldots , r$ ; confidence 0.162
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060104.png ; $ i = 1 , \ldots , r$ ; confidence 0.162
  
218. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015033.png ; $d ^ { * } \in \cap P \in P L _ { 2 } ( \Omega , A , P )$ ; confidence 0.162
+
218. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015033.png ; $d ^ { * } \in \cap_{ \mathsf{P} \in \mathcal{P}} L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.162
  
 
219. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020037.png ; $[ h _ { i j } e _ { k } ] = \delta _ { i j } a _ { i k } e _ { k }$ ; confidence 0.162
 
219. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020037.png ; $[ h _ { i j } e _ { k } ] = \delta _ { i j } a _ { i k } e _ { k }$ ; confidence 0.162
  
220. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021064.png ; $A ( C , q , z ) = \sum _ { V \in C } z ^ { w / v }$ ; confidence 0.162
+
220. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021064.png ; $A ( C ; q , z ) = \sum _ { \mathbf{v} \in C } z ^ { w (\mathbf{v}) }$ ; confidence 0.162
  
221. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005016.png ; $\operatorname { dim } \Lambda ^ { k ^ { * } } = \left( \begin{array} { l } { n } \\ { k } \end{array} \right)$ ; confidence 0.162
+
221. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005016.png ; $\operatorname { dim } \Lambda ^ { k } = \left( \begin{array} { l } { n } \\ { k } \end{array} \right)$ ; confidence 0.162
  
222. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014099.png ; $r , 1 / r , 2$ ; confidence 0.162
+
222. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014099.png ; $r_{j,1} / r_{j,2} $ ; confidence 0.162
  
223. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110248.png ; $g x ( T ) = \frac { G _ { X } ( T ) } { H ( X ) [ 1 + \alpha ( X ) + H ( X ) ^ { 2 } \| \alpha ^ { \prime \prime } ( X ) \| ^ { 2 } G _ { X } ] ^ { 1 / 2 } }$ ; confidence 0.162
+
223. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110248.png ; $g_{X}  ( T ) = \frac { G _ { X } ( T ) } { H ( X ) [ 1 + a ( X ) + H ( X ) ^ { 2 } \| a ^ { \prime \prime } ( X ) \| ^ { 2 _{ G _ { X }}} ] ^ { 1 / 2 } }.$ ; confidence 0.162
  
224. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008047.png ; $\int _ { [ p _ { 0 } \ldots p _ { r } ] } g = \int _ { S _ { r } } g ( v _ { 0 } p _ { 0 } + \ldots + v _ { r } p _ { r } ) d v _ { 1 } \ldots d v _ { r }$ ; confidence 0.162
+
224. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008047.png ; $\int _ { [ p _ { 0 } \ldots p _ { r } ] } g = \int _ { S _ { r } } g ( v _ { 0 } p _ { 0 } + \ldots + v _ { r } p _ { r } ) d v _ { 1 } \ldots d v _ { r }.$ ; confidence 0.162
  
225. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080177.png ; $( A , \overline { A } , t \sim t _ { \alpha } )$ ; confidence 0.162
+
225. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080177.png ; $( A , \overline { A } , t \sim t _ { a } )$ ; confidence 0.162
  
226. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m1201509.png ; $\left( \begin{array} { c c c } { x _ { 11 } ( . ) } & { \dots } & { x _ { 1 n } ( . ) } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } ( . ) } & { \dots } & { x _ { p n ( \lambda } ) } \end{array} \right)$ ; confidence 0.161
+
226. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m1201509.png ; $\left( \begin{array} { c c c } { x _ { 11 } ( . ) } & { \dots } & { x _ { 1 n } ( . ) } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } ( . ) } & { \dots } & { x _ { p n } (1) } \end{array} \right), $ ; confidence 0.161
  
227. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040069.png ; $5 \sqrt { 3 }$ ; confidence 0.161
+
227. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040069.png ; $\mathfrak{h}_R$ ; confidence 0.161
  
228. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j1200105.png ; $y _ { 1 }$ ; confidence 0.161
+
228. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j1200105.png ; $\operatorname{det} JF \in \mathbf{C}^*$ ; confidence 0.161
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002017.png ; $N$ ; confidence 0.161
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002017.png ; $7$ ; confidence 0.161
  
230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006012.png ; $| | x | _ { 1 } | = \sum _ { i } | x |$ ; confidence 0.161
+
230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006012.png ; $ \| x \| _ { 1 } = \sum _ { i } | x_i |, $ ; confidence 0.161
  
231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016021.png ; $\sigma ( T ) \backslash \sigma _ { \text { Tre } } ( T )$ ; confidence 0.161
+
231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016021.png ; $\sigma ( T ) \backslash \sigma |_ { \text { lre } } ( T )$ ; confidence 0.161
  
232. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020184.png ; $\overline { p } = \infty$ ; confidence 0.161
+
232. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020184.png ; $\overline { v } = \infty$ ; confidence 0.161
  
233. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003017.png ; $\{ s _ { \mathfrak { q } ^ { \prime } } ^ { i } : i \geq 0 \}$ ; confidence 0.161
+
233. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003017.png ; $\{ \mathcal{S}  \operatorname {q}   ^ { i } : i \geq 0 \}$ ; confidence 0.161
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013058.png ; $s = \sum _ { i > 0 } C \lambda ^ { i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus \sum _ { i > 0 } C \lambda ^ { - i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus C _ { i }$ ; confidence 0.161
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013058.png ; $s = \sum _ { i > 0 } \mathbf{C} \lambda ^ { i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \bigoplus \sum _ { i > 0 } \mathbf{C} \lambda ^ { - i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \bigoplus \mathbf{C} _{c},$ ; confidence 0.161
  
235. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017040.png ; $\langle \alpha , b | \alpha b \alpha = b a b , \alpha ^ { 4 } = b ^ { 5 } \rangle$ ; confidence 0.161
+
235. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017040.png ; $\langle a , b | a b a = b a b , a ^ { 4 } = b ^ { 5 } \rangle$ ; confidence 0.161
  
236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110164.png ; $r _ { m } - 2 \in S _ { 0 c } ^ { m - 2 } ( \Omega )$ ; confidence 0.161
+
236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110164.png ; $r _ { m - 2} \in S _ { \text{loc} } ^ { m - 2 } ( \Omega )$ ; confidence 0.161
  
237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b120130104.png ; $\pi ( 0 ) + 2 \pi ( 0 )$ ; confidence 0.161
+
237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b120130104.png ; $|F(0)|\geq |h(0)|$ ; confidence 0.161
  
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120164.png ; $( K _ { s } ( \overline { \sigma } ) \cap K _ { tot } s ) _ { ins }$ ; confidence 0.161
+
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120164.png ; $( K _ { s } ( \overline { \sigma } ) \cap K _ { totS } ) _ { ins }$ ; confidence 0.161
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050020.png ; $\hat { Q } p$ ; confidence 0.161
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050020.png ; $\widetilde { \mathbf{Q} }_ p$ ; confidence 0.161
  
240. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589041.png ; $\vec { H }$ ; confidence 0.160
+
240. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589041.png ; $\widetilde { H }$ ; confidence 0.160
  
241. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002044.png ; $l \in R ^ { N }$ ; confidence 0.160
+
241. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002044.png ; $l \in \mathbf{R} ^ { n }$ ; confidence 0.160
  
242. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160121.png ; $\psi _ { \mathfrak { A } } ^ { \mathfrak { d } } \overline { \mathfrak { a } }$ ; confidence 0.160
+
242. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160121.png ; $\psi _ { \mathfrak { A } } ^ { 0 } \overline {a}$ ; confidence 0.160
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011930/a01193041.png ; $sL ( m , C )$ ; confidence 0.160
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011930/a01193041.png ; $\operatorname{GL} ( m , \mathbf{C} )$ ; confidence 0.160
  
244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031054.png ; $e _ { \lambda } ^ { ran } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ^ { ran } ( Q _ { n } , F _ { d } )$ ; confidence 0.160
+
244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031054.png ; $e _ { n } ^ { \operatorname {ran} } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ^ { \operatorname {ran} } ( Q _ { n } , F _ { d } )$ ; confidence 0.160
  
245. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042090.png ; $\Psi _ { V , W } ( v \otimes w ) = q ^ { p | w | } w \otimes v$ ; confidence 0.160
+
245. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042090.png ; $\Psi _ { V , W } ( v \bigotimes w ) = q ^ { |v| | w | } w \bigotimes v$ ; confidence 0.160
  
246. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027012.png ; $A ( t ) = t - S _ { N } ( t ) , R ( t ) = S _ { N ( t ) + 1 } - t$ ; confidence 0.160
+
246. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027012.png ; $A ( t ) = t - S _ { N ( t )} , R ( t ) = S _ { N ( t ) + 1 } - t,$ ; confidence 0.160
  
247. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b1106608.png ; $101$ ; confidence 0.160
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b1106608.png ; $|Q|$ ; confidence 0.160
  
248. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024022.png ; $P _ { \ell } ( x ) \in Z [ x ]$ ; confidence 0.160
+
248. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024022.png ; $P _ { l } ( x ) \in \mathbf{Z} [ x ]$ ; confidence 0.160
  
249. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005055.png ; $H _ { i } + 1$ ; confidence 0.160
+
249. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005055.png ; $H _ { k+1 $ ; confidence 0.160
  
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220221.png ; $\rightarrow \operatorname { Ext } _ { M H _ { R } ^ { + } } ( R ( 0 ) , H _ { B } ^ { i } ( X ) , R ( j ) )$ ; confidence 0.159
+
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220221.png ; $\rightarrow \operatorname { Ext } _ { \mathcal{M} \mathcal{H} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \operatorname {B} } ^ { i } ( X ) , \mathbf{R} ( j ) ).$ ; confidence 0.159
  
251. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220117.png ; $r : H _ { M } ^ { \bullet } ( X , Q ( * ) ) \rightarrow H _ { D } ^ { \bullet } ( X , A ( * ) )$ ; confidence 0.159
+
251. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220117.png ; $r : H _ { \mathcal{M} } ^ { \bullet } ( X , Q ( * ) ) \rightarrow H _ { \mathcal{D} } ^ { \bullet } ( X , A ( * ) )$ ; confidence 0.159
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060310.png ; $\underline { \sigma }$ ; confidence 0.159
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060310.png ; $g_i$ ; confidence 0.159
  
253. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006029.png ; $P _ { k } = ( u _ { t } + 1 , \dots , u _ { t } + k )$ ; confidence 0.159
+
253. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006029.png ; $P _ { k } = ( u _ { + 1} , \dots , u _ { + k})$ ; confidence 0.159
  
254. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015049.png ; $\dot { X } ^ { \dot { \ell } }$ ; confidence 0.159
+
254. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015049.png ; $\dot { x } ^ { i }$ ; confidence 0.159
  
255. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007031.png ; $F ( r , m ) = \langle x _ { 1 } , \dots , x _ { m } | x _ { i } \dots x _ { i + r } - 1 = x _ { i + r } \rangle$ ; confidence 0.159
+
255. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007031.png ; $F ( r , m ) = ( x _ { 1 } , \dots , x _ { m } | x _ { i } \dots x _ { i + r - 1} = x _ { i + r } ),$ ; confidence 0.159
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004014.png ; $D = \{ F m , \dagger _ { D } )$ ; confidence 0.159
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004014.png ; $\mathcal{D} = \{ \mathbf{Fm} , \vdash _ { \mathcal{D} } )$ ; confidence 0.159
  
257. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420162.png ; $\lambda _ { 1 } = id , \lambda _ { W } \otimes z = \lambda z \circ \lambda _ { W }$ ; confidence 0.159
+
257. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420162.png ; $\lambda _ { \underline{1} } = \operatorname {id} , \lambda _ { W \bigotimes Z} = \lambda_{Z} \circ \lambda _ { W }$ ; confidence 0.159
  
258. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k12011019.png ; $C \nmid \Lambda$ ; confidence 0.159
+
258. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k12011019.png ; $\mathbf{C} / \Lambda$ ; confidence 0.159
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $\mathbf{M} _ { \mathsf{E} } = \sum _ { i j k } ( \mathbf{y} _ { i j k } - \mathbf{y} _ { i j }. ) ^ { \prime } ( \mathbf{y} _ { i j k } - \mathbf{y} _ { i j }. )$ ; confidence 0.159
  
 
260. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013014.png ; $K = \kappa _ { 1 } \quad \kappa _ { 2 }$ ; confidence 0.159
 
260. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013014.png ; $K = \kappa _ { 1 } \quad \kappa _ { 2 }$ ; confidence 0.159
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032010.png ; $u _ { m } + 1 = R _ { 0 } ^ { ( s + 1 ) } ( h T ) u _ { m } +$ ; confidence 0.159
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032010.png ; $u _ { m + 1} = R _ { 0 } ^ { ( s + 1 ) } ( h T ) u _ { m } +$ ; confidence 0.159
  
262. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200103.png ; $\alpha \mapsto x _ { \alpha } \in h$ ; confidence 0.159
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200103.png ; $\alpha \mapsto x _ { \alpha } \in \mathfrak{h}$ ; confidence 0.159
  
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010033.png ; $m _ { r s } = g _ { l } g _ { r } ^ { i } Q _ { s } ^ { j }$ ; confidence 0.159
+
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010033.png ; $m _ { r s } = g _ { ij} Q _ { r } ^ { i } Q _ { s } ^ { j },$ ; confidence 0.159
  
264. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290125.png ; $2$ ; confidence 0.158
+
264. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290125.png ; $\textbf{SFRM}$ ; confidence 0.158
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430118.png ; $\Psi ( \alpha \bigotimes \alpha ) = \alpha \otimes \alpha + ( 1 - q ^ { 2 } ) \beta \otimes \gamma$ ; confidence 0.158
+
265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430118.png ; $\Psi ( \alpha \bigotimes \alpha ) = \alpha \bigotimes \alpha + ( 1 - q ^ { 2 } ) \beta \bigotimes \gamma,$ ; confidence 0.158
  
266. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e12009017.png ; $F ^ { \mu \nu } = \left( \begin{array} { c c c c } { 0 } & { E _ { X } } & { E _ { y } } & { E _ { z } } \\ { - E _ { x } } & { 0 } & { H _ { z } } & { - H _ { y } } \\ { - E _ { y } } & { - H _ { z } } & { 0 } & { H _ { X } } \\ { - E _ { z } } & { H _ { y } } & { - H _ { X } } & { 0 } \end{array} \right)$ ; confidence 0.158
+
266. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e12009017.png ; $F ^ { \mu \nu } = \left( \begin{array} { c c c c } { 0 } & { E _ { x } } & { E _ { y } } & { E _ { z } } \\ { - E _ { x } } & { 0 } & { H _ { z } } & { - H _ { y } } \\ { - E _ { y } } & { - H _ { z } } & { 0 } & { H _ { x } } \\ { - E _ { z } } & { H _ { y } } & { - H _ { x } } & { 0 } \end{array} \right),$ ; confidence 0.158
  
267. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001026.png ; $\operatorname { lim } _ { z | \rightarrow \infty } \overline { x } ( z ) = x ( 0 )$ ; confidence 0.158
+
267. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001026.png ; $\operatorname { lim } _ { |z | \rightarrow \infty } \tilde { x } ( z ) = x ( 0 )$ ; confidence 0.158
  
268. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005019.png ; $r _ { \gamma } > 0$ ; confidence 0.158
+
268. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005019.png ; $\kappa _ { n } > 0$ ; confidence 0.158
  
269. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220137.png ; $c ( i , m ) L ( i , m ) = \operatorname { det } _ { Q } r _ { D } ( H _ { M } ^ { i + 1 } ( X , Q ( i + 1 - m ) ) _ { Z } )$ ; confidence 0.157
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220137.png ; $c ( i , m ) . \mathcal{L} ( i , m ) = \operatorname { det } _ { \mathbf{Q} } r _ { \mathcal{D} } ( H _ { \mathcal{M} } ^ { i + 1 } ( X , \mathbf{Q} ( i + 1 - m ) ) _ { \mathbf{Z} } ),$ ; confidence 0.157
  
270. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230101.png ; $E ^ { i t } ( L ) ( \sigma ^ { 2 k } ( x ) ) = 0$ ; confidence 0.157
+
270. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230101.png ; $\mathcal{E} ^ { a } ( L ) ( \sigma ^ { 2 k } ( x ) ) = 0,$ ; confidence 0.157
  
271. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080184.png ; $M _ { y }$ ; confidence 0.157
+
271. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080184.png ; $M _ { a }$ ; confidence 0.157
  
272. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027014.png ; $( Q _ { n } , [ f ] ) _ { i = 1,2 , \ldots }$ ; confidence 0.157
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027014.png ; $( Q _ { n_i } [ f ] ) _ { i = 1,2 , \ldots }$ ; confidence 0.157
  
273. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007044.png ; $\hat { f } ( \xi ) = \int _ { R ^ { 2 n } e ^ { - i x } \xi } f ( x ) d x$ ; confidence 0.157
+
273. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007044.png ; $\hat { f } ( \xi ) = \int _ { \mathbf{R} ^ { 2 n }} e ^ { - i x \xi } f ( x ) d x$ ; confidence 0.157
  
274. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008057.png ; $[ L : K ] \geq \sum _ { l = 1 } ^ { m } e ( w _ { l } | v ) \cdot f ( w _ { l } | w )$ ; confidence 0.157
+
274. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008057.png ; $[ L : K ] \geq \sum _ { i = 1 } ^ { m } e ( w _ { i } | v ) . f ( w _ { i } | w ).$ ; confidence 0.157
  
275. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120060/o12006022.png ; $\| f _ { W } k _ { L _ { \Phi } ( \Omega ) } \| = \sum _ { | \alpha | \leq k } \| D ^ { \alpha } f \| _ { L _ { \Phi } ( \Omega ) }$ ; confidence 0.157
+
275. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120060/o12006022.png ; $\left\| f |_ { W ^{k} L _ { \Phi } ( \Omega ) } \right\| = \sum _ { | \alpha | \leq k } \| D ^ { \alpha } f \| _ { L _ { \Phi } ( \Omega ) }.$ ; confidence 0.157
  
276. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040173.png ; $\sum _ { \alpha \in Z ^ { n } } \frac { \alpha _ { \alpha } } { ( | \alpha | ! ) ^ { s - 1 } } x ^ { \alpha }$ ; confidence 0.157
+
276. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040173.png ; $\sum _ { \alpha \in \mathbf{Z} _+^ { n } } \frac { a _ { \alpha } } { ( | \alpha | ! ) ^ { s - 1 } } x ^ { \alpha },$ ; confidence 0.157
  
277. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002063.png ; $x = \sum _ { k \in P } \overline { \lambda } _ { k } x ^ { ( k ) } + \sum _ { k \in R } \overline { \mu } _ { k } \cdot x ^ { ( k ) }$ ; confidence 0.156
+
277. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002063.png ; $\overline{x} = \sum _ { k \in P } \overline { \lambda } _ { k } x ^ { ( k ) } + \sum _ { k \in R } \overline { \mu } _ { k } \tilde{x} ^ { ( k ) }$ ; confidence 0.156
  
278. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019048.png ; $M _ { n } ( z ) = \left( \begin{array} { c c c } { \langle f _ { 0 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { 0 } , f _ { n } \rangle } \\ { \vdots } & { \square } & { \vdots } \\ { \langle f _ { n - 1 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { n - 1 } , f _ { n } \rangle } \\ { f _ { 0 } ( z ) } & { \dots } & { f _ { n } ( z ) } \end{array} \right)$ ; confidence 0.156
+
278. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019048.png ; $M _ { n } ( z ) = \left( \begin{array} { c c c } { \langle f _ { 0 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { 0 } , f _ { n } \rangle } \\ { \vdots } & { \square } & { \vdots } \\ { \langle f _ { n - 1 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { n - 1 } , f _ { n } \rangle } \\ { f _ { 0 } ( z ) } & { \dots } & { f _ { n } ( z ) } \end{array} \right).$ ; confidence 0.156
  
279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110238.png ; $a _ { n } ^ { + } b \in S ( m _ { 1 } m _ { 2 } , G )$ ; confidence 0.156
+
279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110238.png ; $a \sharp b \in S ( m _ { 1 } m _ { 2 } , G ),$ ; confidence 0.156
  
280. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032091.png ; $T ^ { st }$ ; confidence 0.156
+
280. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032091.png ; $T ^ { \operatorname {st} }$ ; confidence 0.156
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013013.png ; $\frac { \partial } { \partial t _ { m } } P - \frac { \partial } { \partial x } Q ^ { ( m ) } + [ P , Q ^ { ( r ) } ] = 0 \Leftrightarrow$ ; confidence 0.156
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013013.png ; $\frac { \partial } { \partial t _ { n } } P - \frac { \partial } { \partial x } Q ^ { ( n ) } + [ P , Q ^ { ( n ) } ] = 0 \Leftrightarrow$ ; confidence 0.156
  
282. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025052.png ; $( x , \xi ) \in W F ( v )$ ; confidence 0.156
+
282. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025052.png ; $( x , \xi ) \in \operatorname {WF} ( v )$ ; confidence 0.156
  
 
283. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011041.png ; $\mathfrak { S } _ { w }$ ; confidence 0.156
 
283. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011041.png ; $\mathfrak { S } _ { w }$ ; confidence 0.156
  
284. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007063.png ; $F | _ { - k } ^ { V } M = F + p _ { M } , \forall M \in \Gamma$ ; confidence 0.156
+
284. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007063.png ; $F | _ { - k } ^ { \mathbf{v} } M = F + p _ { M } , \forall M \in \Gamma,$ ; confidence 0.156
  
285. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002047.png ; $\int _ { U M } f ( u ) d u = \int _ { U ^ { + } \partial M ^ { 0 } } \int _ { U } ^ { l ( v ) } f ( g _ { t } ( v ) ) d t ( v , N _ { x } ) d v d x$ ; confidence 0.156
+
285. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002047.png ; $\int _ { \overline{U M} } f ( u ) d u = \int _ { U ^ { + } \partial M } \int _ { 0 } ^ { l ( v ) } f ( g _ { t } ( v ) ) d t \langle v , N _ { x } \rangle d v d x.$ ; confidence 0.156
  
286. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021061.png ; $x _ { , j } = \left\{ \begin{array} { l l } { 1 , } & { \text { if } i + j = m + 1 } \\ { 0 } & { \text { otherwise } } \end{array} \right.$ ; confidence 0.156
+
286. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021061.png ; $r _ { i , j } = \left\{ \begin{array} { l l } { 1 , } & { \text { if } i + j = m + 1, } \\ { 0 } & { \text { otherwise, } } \end{array} \right.$ ; confidence 0.156
  
287. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001021.png ; $f _ { 1 } = \operatorname { gcd } ( x ^ { \not y } - x , f )$ ; confidence 0.156
+
287. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001021.png ; $f _ { 1 } = \operatorname { gcd } ( x ^ {q } - x , f )$ ; confidence 0.156
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003033.png ; $V ^ { \aleph } \subset U ^ { X }$ ; confidence 0.156
+
288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003033.png ; $V ^ { n } \subset U ^ { n }$ ; confidence 0.156
  
289. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017048.png ; $L _ { O } ^ { 2 }$ ; confidence 0.156
+
289. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017048.png ; $L _ { \alpha } ^ { 2 }$ ; confidence 0.156
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007048.png ; $\alpha = \frac { b \sigma ( a ) } { \alpha \varphi ( b ) }$ ; confidence 0.156
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007048.png ; $\alpha = \frac { b \sigma ( a ) } { a \varphi ( b ) }$ ; confidence 0.156
  
291. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016053.png ; $f _ { \mathfrak { A } } ( P ) = f _ { \mathfrak { B } } ( P ) \cap A ^ { \mathfrak { K } }$ ; confidence 0.156
+
291. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016053.png ; $f _ { \mathfrak { A } } ( P ) = f _ { \mathfrak { B } } ( P ) \cap A ^ { m }$ ; confidence 0.156
  
292. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050120.png ; $( u _ { m } ( v ) ) _ { n } ( w ) = \sum _ { i \geq 0 } ( - 1 ) ^ { i } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { m } - i ( v _ { n } + i ( w ) ) - ( - 1 ) ^ { m } v _ { m + n } - i ( u _ { i } ( w ) ) )$ ; confidence 0.155
+
292. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050120.png ; $( u _ { m } ( v ) ) _ { n } ( w ) = \sum _ { i \geq 0 } ( - 1 ) ^ { i } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { m - i }( v _ { n + i} ( w ) ) - ( - 1 ) ^ { m } v _ { m + n - i }( u _ { i } ( w ) ) )$ ; confidence 0.155
  
293. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620463.png ; $b \times$ ; confidence 0.155
+
293. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620463.png ; $h_* $ ; confidence 0.155
  
294. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076790/q07679049.png ; $4 r r$ ; confidence 0.155
+
294. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076790/q07679049.png ; $4 m$ ; confidence 0.155
  
295. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004020.png ; $\dot { m } , 1$ ; confidence 0.155
+
295. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004020.png ; $j_{m,1}$ ; confidence 0.155
  
296. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065055.png ; $S _ { T } ( 0 )$ ; confidence 0.155
+
296. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065055.png ; $S _ { k } ( 0 )$ ; confidence 0.155
  
297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034011.png ; $K _ { x } \cdot U _ { 1 }$ ; confidence 0.155
+
297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034011.png ; $K _ { n } . U _ { 1 }$ ; confidence 0.155
  
298. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005013.png ; $e ^ { i \hbar x }$ ; confidence 0.155
+
298. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005013.png ; $e ^ { i k x }$ ; confidence 0.155
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015039.png ; $g \subset \text { End } ( V )$ ; confidence 0.155
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015039.png ; $\mathfrak{g} \subset \text { End } ( V )$ ; confidence 0.155
  
300. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008057.png ; $E , A \in C ^ { r \times n }$ ; confidence 0.155
+
300. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008057.png ; $E , A \in C ^ { n \times n }$ ; confidence 0.155

Latest revision as of 14:57, 25 May 2020

List

1. z13003013.png ; $Z _ { a } f$ ; confidence 0.183

2. f130100111.png ; $\operatorname {supp}\lambda _ { G } ^ { p } ( \mu ) = ( \operatorname { supp } \mu ) ^ { - 1 }$ ; confidence 0.182

3. t12001088.png ; $_{\bigtriangledown}^{\bigtriangleup}( \mathcal{S} ) $ ; unknown symbol

4. i13004019.png ; $\| d \| _ { b t } = \| d \| _ { \operatorname {bv} } + \sum _ { n = 2 } ^ { \infty } \left| \sum _ { k = 1 } ^ { n / 2 } \frac { \Delta d _ { n - k } - \Delta d _ { n + k } } { k }\right|.$ ; confidence 0.182

5. a12015022.png ; $\operatorname {ad} : \mathfrak { g } \rightarrow \operatorname { End } ( \mathfrak { g } )$ ; confidence 0.182

6. f04132015.png ; $v ^ { k }$ ; confidence 0.182

7. a11030031.png ; $f _ { \alpha } : S ^ { n _ { \alpha } } \rightarrow X _ { n _ { \alpha } }$ ; confidence 0.182

8. s13041035.png ; $T _ { n } ( x ) = \sum _ { j = n - k } ^ { n + 1 } \frac { b _ { n , j} } { j } P _ { j } ^ { \prime } ( x ) , n \geq k + 1,$ ; confidence 0.181

9. d11022044.png ; $i = r_{j - 1} , \dots , r_{j} - 1$ ; confidence 0.181

10. a13018051.png ; $\textbf{Alg} _ { \vDash } ( \mathcal{L} ) \subseteq \textbf{Alg} _ { \vdash } ( \mathcal{L} )$ ; confidence 0.181

11. t13005085.png ; $a _ { i } \in \mathcal{B}$ ; confidence 0.181

12. b13023059.png ; $[G:\operatorname{rist}_G ( n )]<\infty$ ; confidence 0.181

13. d120280143.png ; $\mathbf{C} ^ { n } \backslash D$ ; confidence 0.181

14. c12008047.png ; $\sum _ { i = 0 } ^ { m } \left[ \begin{array} { l } { A _ { 1 } } \\ { A _ { 2 } } \end{array} \right] ( I _ { m } \bigotimes D _ { m - i } ) A _ { 1 } ^ { i } = 0 ( D _ { 0 } = I _ { n } ).$ ; confidence 0.181

15. n12002071.png ; $\int _ { E }x d \mathsf{P}( x ) = m$ ; confidence 0.181

16. k12008085.png ; $\langle z , w \rangle = \sum _ { j = 1 } ^ { x } z _ { j } w _ { j }$ ; confidence 0.181

17. c12007039.png ; $\operatorname { \underline{lim} } \leftarrow : \mathcal{A} ^ { \mathbf{C} } \rightarrow A$ ; confidence 0.181

18. s12005076.png ; $\mathfrak{H}(S)\oplus \mathbf{C}$ ; confidence 0.181

19. d1300609.png ; $\geq \sum _ { I \subseteq \{ 1 , \ldots , k \} , I \neq \emptyset } ( - 1 ) ^ { | I | + 1 } \operatorname { Bel } ( \bigcap _ { i \in I } A _ { i } ).$ ; confidence 0.180

20. s12033030.png ; $2 ^ { a } 3 ^ { b }$ ; confidence 0.180

21. b01511065.png ; $x \in D$ ; confidence 0.180

22. s13034048.png ; $P S L_n$ ; confidence 0.180

23. r13009018.png ; $\mathbf{w} ^ { i }$ ; confidence 0.180

24. a130240282.png ; $\widehat { \psi } = \sum _ { i = 1 } ^ { q } d _ { i } z _ { i }$ ; confidence 0.180

25. n067520316.png ; $a ( f ) = \int _ { M } a ( x ) f ( x ) d \sigma ( x ) , \quad a ^ { * } ( f ) = \int _ { M } a ^ { * } ( x ) \overline { f } ( x ) d \sigma ( x ).$ ; confidence 0.180

26. b13010059.png ; $k _ { z }$ ; confidence 0.180

27. a12026063.png ; $A _ { 1 } = A ^ { * } / \cap _ { i \in \mathbf{N} } m ^ { i } A ^ { * }$ ; confidence 0.180

28. a1201704.png ; $\int _ { a _ { 1 } } ^ { a _ { 2 } } p ( a , t ) d a$ ; confidence 0.180

29. l06004012.png ; $g _ { k } ( z )$ ; confidence 0.180

30. c13001014.png ; $\overline { c }$ ; confidence 0.180

31. l13006041.png ; $W _ { k } ^ { * }$ ; confidence 0.179

32. c1302302.png ; $\sim _ { c }$ ; confidence 0.179

33. c12026074.png ; $\frac { d } { d t } U _ { h } = F _ { h } ( t , U _ { h } ) , 0 < t , U _ { h } ( 0 ) = u ^ { 0_h } ,$ ; confidence 0.179

34. c120170120.png ; $g ( z ) = z ^ { r } - ( a _ { 0 } + \ldots + a _ { r - 1 } ^ { r - 1 } )$ ; confidence 0.179

35. b12004049.png ; $p_{X} $ ; confidence 0.179

36. b12046037.png ; $( \oplus _ { b ^G = B } b )$ ; confidence 0.179

37. n1200405.png ; $A _ {M}$ ; confidence 0.179

38. s13014018.png ; $\text{Pf}$ ; confidence 0.179

39. a12027076.png ; $\rho _ { a } ( g ) = g ( \sqrt { a } ) / \sqrt { a }$ ; confidence 0.179

40. m130110112.png ; $\left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { k }^0 } = \left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { i } } + \left( \frac { \partial \phi } { \partial x _ { i } } \right) | _ { t } \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k }^ 0 }.$ ; confidence 0.179

41. a130180166.png ; $\operatorname {Id} _ { i j } = \{ q \in \square ^ { \omega } U : q_i = q_j \}$ ; confidence 0.179

42. b130300155.png ; $C_{B ( m , n )} ( G )$ ; confidence 0.179

43. c120180332.png ; $C ( g ) = \nabla A ( g ) - \tau ^ { - 1_3 } \nabla A ( g ) \in \bigotimes \square ^ { 3 } \mathcal{E},$ ; confidence 0.179

44. e036960151.png ; $b \in F$ ; confidence 0.178

45. n067520310.png ; $A = \sum _ { m , n \geq 0 } \int K _ { n , m } ( x _ { 1 } , \ldots , x _ { n } ; y _ { 1 } , \ldots , y _ { m } ) \times$ ; confidence 0.178

46. c120010168.png ; $f ( z ) = \sum _ { k = 1 } ^ { \infty } \frac { c _ { k } } { ( 1 + \langle z , a _ { k 1 } \rangle ) \ldots ( 1 + \langle z , a _ { k n } \rangle ) },$ ; confidence 0.178

47. b1300905.png ; $u _ { t } + u _ { x } + u u _ { x } + u _ { xxx } = 0.$ ; confidence 0.178

48. a12028032.png ; $k _ { n } ( z )$ ; confidence 0.178

49. h046010116.png ; $\pi_ 1 M_0$ ; confidence 0.178

50. k055840172.png ; $\pi _ { \kappa}$ ; confidence 0.178

51. i12004051.png ; $\times \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } s _ { j } d s _ { 1 } \bigwedge \ldots \bigwedge [ d s _ { j } ] \bigwedge \ldots \bigwedge d s _ { n } \bigwedge \omega ( \zeta ),$ ; confidence 0.178

52. l057000198.png ; $[ [ \lambda x . M ] ] _ { \rho } = \lambda d [ [ M ] ] _ { \rho ( x : = d ) }$ ; confidence 0.178

53. k13006030.png ; $a_{k - 1}$ ; confidence 0.177

54. r1300306.png ; $\frac { p } { q } = a _ { n } + \frac { 1 } { a _ { n - 1} + \ldots + \frac { 1 } { a_ { 1 } } }.$ ; confidence 0.177

55. a13031061.png ; $\mathcal{Q}$ ; confidence 0.177

56. b12027088.png ; $\operatorname { lim } _ { n } a _ { n } = \frac { \sum _ { 0 } ^ { \infty } b _ { j } } { \sum _ { 0 } ^ { \infty } j p _ { j } }.$ ; confidence 0.177

57. r13004014.png ; $j_{0,1} = 2.4048\dots$ ; confidence 0.177

58. i13003012.png ; $\operatorname{ind} ( P ) : = \operatorname { dim } ( \operatorname{ker} ( P ) ) - \operatorname { dim } ( \operatorname { coker } ( P ) ).$ ; confidence 0.177

59. b12013035.png ; $L _ { a } ^ { p } ( G )$ ; confidence 0.177

60. m13023077.png ; $m D$ ; confidence 0.176

61. b130200146.png ; $\hat { \mathfrak{g} }$ ; confidence 0.176

62. b12043068.png ; $\Psi ( y \bigotimes y ) = q ^ { 2 } y \otimes y \Psi ( x \otimes y ) = q y \otimes x$ ; confidence 0.176

63. m13007034.png ; $f _ { l } ^ { t } = \mathcal{F} ^ { - 1 } ( e ^ { i ( p ^ { 0 } - \omega ) t } \mathcal{F} ( f _ { l } ) )$ ; confidence 0.176

64. m06501061.png ; $E _ { * }$ ; confidence 0.176

65. m06459090.png ; $\{ c _ { n } \} _ { n = - \infty } ^ { \infty }$ ; confidence 0.176

66. m13019042.png ; $M _ { n } = [ m _ { i j } ] _ { i , j = 0 } ^ { n }$ ; confidence 0.176

67. e12012052.png ; $f _ { i } ^{( t + 1 ) }= f _ { i }^{ ( t )} \sum _ { j } \left( \frac { h _ { i j } } { \sum _ { k } f _ { k }^{ ( t )} h _ { k j } ) } \right) g _ { j } , t = 1,2 ,\dots $ ; confidence 0.176

68. e13003022.png ; $H ^ { \bullet } ( \Gamma \backslash X , \widetilde { \mathcal{M} \bigotimes \mathbf{C} } ) \overset{\sim}{\rightarrow} H ^ { \bullet } ( \Gamma \backslash X , \Omega ^ { \bullet } ( \widetilde { \mathcal{M} } _ { \mathbf{C} } ) ),$ ; confidence 0.176

69. l12012026.png ; $\left\{ x \in \widehat { K } _ { \operatorname {p} } : | x - a | _ { \operatorname {p} } \leq \epsilon \right\}$ ; confidence 0.176

70. a1302608.png ; $c _ { n }$ ; confidence 0.175

71. f120110182.png ; $e ^ { h |x | ^ { 1 / s } }$ ; confidence 0.175

72. j12002095.png ; $\mathsf{E} [ X _ { \infty } \operatorname { log } ^ { + } X _ { \infty } ]$ ; confidence 0.175

73. w120110127.png ; $( a \circ b ) ( x , \xi ) = \int \int e ^ { - 2 i \pi y . \eta } a ( x , \xi + \eta ) b ( y + x , \xi ) d y d \eta,$ ; confidence 0.175

74. e13003044.png ; $\rightarrow H ^ { \bullet } ( \Gamma \backslash X , \widetilde { \mathcal{M} } ) \stackrel { r } { \rightarrow } H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \widetilde { \mathcal{M} } )\rightarrow \dots .$ ; confidence 0.175

75. a130040688.png ; $\textbf{Fm} _ { P }$ ; confidence 0.175

76. a13013083.png ; $\mathcal{L}$ ; confidence 0.175

77. a12023035.png ; $( z _ { 1 } e ^ { i t p _ { 1 } } 1 , \ldots , z _ { n } e ^ { i t p _ { n } } ) \in \Omega$ ; confidence 0.175

78. b12009057.png ; $= \left\{ \frac { \beta } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { z } \frac { h ( \xi ) - \alpha i } { \xi ^ { 1 + \alpha \beta i / ( 1 + \alpha ^ { 2 } ) } } g ( \xi ) ^ { \beta / ( 1 + \alpha ^ { 2 } ) } d \xi \right\} ^ { ( 1 + \alpha i ) / \beta }$ ; confidence 0.175

79. f130100117.png ; $ \check{\varphi} ( \chi ) = \varphi ( \chi ^ { - 1 } )$ ; confidence 0.175

80. b130290209.png ; $H _ { \mathfrak{M} } ^ { i } ( R ) = [ H _ { \mathfrak{M} } ^ { i } ( R ) ] _ { 0 }$ ; confidence 0.175

81. m13022038.png ; $V ^ { \natural }$ ; confidence 0.175

82. c120170116.png ; $Z ^ { r } = a _ { 0 } 1 + \ldots + a _ { r - 1 } Z ^ { r - 1 }$ ; confidence 0.174

83. a13025022.png ; $a _ { i } \in V$ ; confidence 0.174

84. c120170173.png ; $1 , \dots , r _ { m } \in \mathbf{C} [ z , \overline{z} ]$ ; confidence 0.174

85. w12019034.png ; $\operatorname { Tr } A B = \int _ { \mathbf{R} ^ { 3 N } \times \mathbf{R} ^ { 3 N } } A _ { \mathbf{w} } B _ { \mathbf{w} } d x d p.$ ; confidence 0.174

86. w12005047.png ; $\mathcal{D} _ { n } ^ { r }$ ; confidence 0.174

87. l12016011.png ; $L^+G _ { \mathbf{C} } = \left\{ \begin{array}{l}{ \\ \gamma \in L G _ { \mathbf{C} } :\\ }\end{array} \begin{array}{c}{ \gamma \text{ extends} \\ \text{ holomorphically in the disc } }\\{ \text { to a group } "\square" \text{valued mapping }}\end{array} \right\}.$ ; confidence 0.174

88. l120130100.png ; $f , g _ { 1 } , \dots , g _ { m } \in \mathbf{Z} [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.174

89. b11066041.png ; $\| T _ { 1 + i t} ( f ) \| _ { \infty } \leq C \| f \|_\infty$ ; confidence 0.173

90. t12005082.png ; $\sum ^ { i _ { 1 } , \dots , i _ { s }}$ ; confidence 0.173

91. a13013033.png ; $\phi_{-} ^ { -1 } \left( \frac { \partial } { \partial x } - P _ { 0 }z \right) \phi _ { - } = \frac { \partial } { \partial x } - P,$ ; confidence 0.173

92. q12007029.png ; $\Delta g = g \bigotimes g , \epsilon g = 1 , S g = g ^ { - 1 } = g ^ { n - 1 },$ ; confidence 0.173

93. k1300701.png ; $u _ { t } + u _ { xxxx } + u _ { xx } + u u _ { x } = 0 , \quad x \in [ - L / 2 , L / 2 ],$ ; confidence 0.173

94. b12043045.png ; $\Delta x ^ { n } = \sum _ { m = 0 } ^ { n } \left[ \begin{array} { c } { n } \\ { m } \end{array} \right] _ { q } x ^ { n } \bigotimes x ^ { n - m } , S x ^ { n } = ( - 1 ) ^ { n } q ^ { n ( n - 1 ) / 2 } x ^ { n },$ ; confidence 0.173

95. b120420103.png ; $\Psi _ { V , W } ( v \bigotimes w ) = \beta ( | v | , | w | ) w \bigotimes v$ ; confidence 0.173

96. l1300108.png ; $k = ( k _ { 1 } , \dots , k _ { n } ) \in \mathbf{Z} ^ { n }$ ; confidence 0.172

97. b01661029.png ; $R _ { ab }$ ; confidence 0.172

98. b12030058.png ; $\mathcal{A} ( \eta ) = - \sum _ { k , \operatorname {l} = 1 } ^ { N } \left( \frac { \partial } { \partial y _ { k } } + i \eta _ { k } \right) \left( a _ { k \operatorname {l} } ( y ) \left( \frac { \partial } { \partial y _ { \operatorname {l} } } + i \eta _ { \operatorname {l} } \right) \right),$ ; confidence 0.172

99. b11002038.png ; $l \in V ^ { \prime }$ ; confidence 0.172

100. d03071034.png ; $\tilde { F }$ ; confidence 0.172

101. c12031031.png ; $e _ { n } ( C _ { d } ^ { k } ) \asymp n ^ { - k / d } \text { or } n ( \epsilon , C _ { d } ^ { k } ) \asymp \epsilon ^ { - d / k }.$ ; confidence 0.172

102. a130050239.png ; $G ^ { \# } ( n ) = A _ { G } q ^ { n } + O ( q ^ { \nu n } ) \text { as } n \rightarrow \infty.$ ; confidence 0.172

103. l12012096.png ; $V _ { \text { simp } }$ ; confidence 0.172

104. m1200904.png ; $P ( \xi ) = \sum _ { J } a _ { J } \xi ^ { J }$ ; confidence 0.172

105. r13004013.png ; $\lambda _ { 1 } \geq \frac { \pi { j } _ {0,1 } ^ { 2 } } { A },$ ; confidence 0.172

106. b12021030.png ; $k = 0 , \ldots , n = \operatorname { dim } \mathfrak{a}$ ; confidence 0.172

107. d12023013.png ; $T = ( c _ { i - j} ) _ { i , j=0 } ^ { n - 1 } $ ; confidence 0.172

108. a130040193.png ; $\widetilde { \Omega } _ { \mathcal{D} } F$ ; confidence 0.172

109. d120280139.png ; $Z ^ { n , n - 1 }$ ; confidence 0.172

110. c02327016.png ; $ q \notin \bar { A }$ ; confidence 0.172

111. m120100102.png ; $\epsilon = ( \epsilon_{0} , \dots , \epsilon _ { n } )$ ; confidence 0.171

112. q12008078.png ; $\mathsf{E} [ W ] _ { \operatorname {PS} } = \frac { \rho b } { 1 - \rho },$ ; confidence 0.171

113. s13041036.png ; $b _ { n , n + 1} = 1$ ; confidence 0.171

114. a01022012.png ; $w _ \mu $ ; confidence 0.171

115. l12003051.png ; $( ( \_ ) \otimes _ { \mathbf{F}_p } H ^ { * } Z )$ ; confidence 0.171

116. d120020223.png ; $\underline{v}$ ; confidence 0.171

117. l12012031.png ; $V ( \widehat { K } _ { \operatorname {p} } )$ ; confidence 0.171

118. w12005042.png ; $J ^{ r_0} ( \mathbf{R} ^ { n } , \mathbf{R} )$ ; confidence 0.170

119. c024100196.png ; $E ^{r+1} $ ; confidence 0.170

120. t12014085.png ; $T _ { z u}$ ; confidence 0.170

121. w120090348.png ; $\mathcal{U}_{ \mathbf{Z}}$ ; confidence 0.170

122. d12019015.png ; $\Delta_{\operatorname{ Dir}}$ ; confidence 0.170

123. c12002012.png ; $\hat{v} $ ; confidence 0.170

124. a12017038.png ; $ \begin{cases} { p _ { t } ( a , t ) + p _ { a } ( a , t ) + \mu ( a , S ( t ) ) p ( a , t ) = 0 }, \\ { p ( 0 , t ) = \int ^ { + \infty_0 } \beta ( \sigma , s ( t ) ) p ( \sigma , t ) d \sigma }, \\ { p ( a , 0 ) = p_ 0(a) }, \\ { S ( t ) = \int^{+\infty_0} \gamma ( \sigma ) p ( \sigma , t ) d \sigma . } \end{cases}. $ ; confidence 0.169

125. f130100160.png ; $\|v \| _ { A _ { p } ( G ) } \leq C$ ; confidence 0.169

126. b130200117.png ; $\alpha _ { j } ( h _ { i } ) = a _ {i j }$ ; confidence 0.169

127. s120340145.png ; $\mathcal{M} ( \tilde { x } , \tilde { y } ) / \mathbf{R}$ ; confidence 0.169

128. w12020036.png ; $( f , g ) = \sum _ { \nu = 1 } ^ { r } f ( x _ { \nu } ) g ( x _ { \nu } ) + \int _ { a } ^ { b } f ^ { ( r ) } ( x ) g ^ { ( r ) } ( x ) d x$ ; confidence 0.169

129. p12017054.png ; $\mathcal{N} _ { \epsilon}$ ; confidence 0.169

130. i0501503.png ; $\mathfrak{C}$ ; confidence 0.169

131. w13005012.png ; $W ( G , K ) = \{ \bigwedge ( \mathfrak { g } / \mathfrak { k } ) ^ { * } \bigotimes S \mathfrak { g } ^ { * } \} ^ { K }.$ ; confidence 0.169

132. a13024067.png ; $e _ {i j k }$ ; confidence 0.169

133. s130620133.png ; $\operatorname { lim } _ { N \rightarrow \infty } \frac { \int _ { 0 } ^ { N } | y ( x , \lambda ) | ^ { 2 } d x } { \int ^{N_0} | v ( x , \lambda ) | ^ { 2 } d x } = 0.$ ; confidence 0.169

134. d12016038.png ; $\| g _ { n } \|$ ; confidence 0.169

135. o13005081.png ; $\left(\begin{array} { c c } { T } & { ( I - T T ^ { * } ) ^ { 1 / 2 } } \\ { ( I - T ^ { * } T ) ^ { 1 / 2 } } & { T ^ { * } } \end{array} \right)$ ; confidence 0.169

136. m12007013.png ; $M ( P ) = | a _ { 0 } | \prod _ { k = 1 } ^ { d } \operatorname { max } ( | \alpha _ { k } | , 1 )$ ; confidence 0.169

137. a130040313.png ; $\text{iff }\epsilon _ { i,0 } ^ { \mathbf{A} } ( a , b , c , d ) = \epsilon _ { i , 1 } ^ { \mathbf{A} } ( a , b , c , d ) \text { for all } i < m,$ ; confidence 0.169

138. f130290118.png ; $\textbf{FTOP}$ ; confidence 0.169

139. f11016065.png ; $\mathfrak { A } [ \Lambda ]$ ; confidence 0.169

140. f1302801.png ; $\left\{ \begin{array} { l l } { \operatorname { min } } & { \mathbf{c} ^ { T } \mathbf{x} } \\ { \operatorname {s.t.} } & { A \mathbf{x} \leq \mathbf{b}. } \end{array} \right. $ ; confidence 0.169

141. s09067011.png ; $\left. \begin{array} { l l l } { \square } & {} & { C } & { \square } \\ { \square _ { f } } & { \swarrow } & { \square } & { \searrow _ { g } } \\ { A } & { } & { \square } & { B } \end{array} \right.$ ; confidence 0.169

142. d12030036.png ; $h \equiv 0$ ; confidence 0.169

143. h1200406.png ; $A \subset_{*} B$ ; confidence 0.168

144. a012970216.png ; $X ^ { r }$ ; confidence 0.168

145. l120120131.png ; $M _ { \operatorname {ins} }$ ; confidence 0.168

146. b12030084.png ; $\hat{g} _ { m } ( \eta ) = \int _ { \mathbf{R} ^ { N } } g ( y ) e ^ { - i \eta . y} \overline { \phi } m ( y ; \eta ) d y , \forall \eta \in Y ^ { \prime }.$ ; confidence 0.168

147. c120210126.png ; $R _ { n , h } ( A )$ ; confidence 0.168

148. t120140150.png ; $\operatorname{det} \Phi$ ; confidence 0.168

149. a01148049.png ; $a _ { n }$ ; confidence 0.168

150. m11011045.png ; $J _ { b - a } ( \sqrt { x } ) Y _ { b - a } ( \sqrt { x } ) = - \sqrt { x } x ^ { - a } G _ { 13 } ^ { 20 } \left( x \left| \begin{array} { c } { a + 1 / 2 } \\ { b , a , 2 a - b } \end{array} \right. \right).$ ; confidence 0.168

151. c120180471.png ; $\widetilde{\pi} : \widetilde{N} \rightarrow N$ ; confidence 0.168

152. p075700112.png ; $i _1 , \ldots , i _ { r }$ ; confidence 0.168

153. k12004016.png ; $L _ { D }$ ; confidence 0.168

154. e035250107.png ; $\psi ^ { * }$ ; confidence 0.168

155. f13002011.png ; $c ( x ) = c ^ { a } ( x ) T _ { a }$ ; confidence 0.167

156. p13013066.png ; $\tilde { A } _ { n }$ ; confidence 0.167

157. c12001029.png ; $\mathbf{P} ^ { n } \supset \mathbf{C} ^ { n }$ ; confidence 0.167

158. i1300708.png ; $e ^ { i k \alpha x}$ ; confidence 0.167

159. a12026097.png ; $R _ { 1 } = R ^ { * } / \cap _ { i \in \mathbf{N} } a ^ { i } R ^ { * }$ ; confidence 0.167

160. a130040337.png ; $\vdash_\mathcal{D} E ( \lambda x _ { 0 } , \ldots , x _ { n - 1} , \lambda y 0 , \ldots , y _ { n - 1} )$ ; confidence 0.167

161. b12027077.png ; $h \downarrow 0$ ; confidence 0.167

162. l13010015.png ; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } _ { p } ( \alpha , p ) } { \alpha . x - p } d \alpha d p,$ ; confidence 0.166

163. m11011044.png ; $J _ { a - b } ( 2 \sqrt { x } ) = x ^ { - ( a + b ) / 2 } G _ { 02 } ^ { 10 } ( x | a , b ),$ ; confidence 0.166

164. o13003038.png ; $d_{ j k l}$ ; confidence 0.166

165. s08602038.png ; $\left. \begin{array}{l}{ \Phi ^ { + } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int _ { \Gamma } \frac { \phi ( t ) d t } { t - t _ { 0 } } + \left( 1 - \frac { \beta } { 2 \pi } \right) \phi ( t _ { 0 } ) ,}\\{ \Phi ^ { - } ( t _ { 0 } ) = \frac { 1 } { 2 \pi i } \int_{\Gamma} \frac { \phi ( t ) d t } { t - t _ { 0 } } - \frac { \beta } { 2 \pi } \phi ( t _ { 0 } ) , 0 \leq \beta \leq 2 \pi .}\end{array} \right.$ ; confidence 0.166

166. w120090109.png ; $z _ { \lambda } = e _ { \lambda } y _ { \lambda } \in E^{ \bigotimes r }.$ ; confidence 0.166

167. z13004011.png ; $\lfloor m/ 2 \rfloor$ ; confidence 0.166

168. n12010052.png ; $\sum _ { i = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h f \left( \sum _ { i = 0 } ^ { k } \beta _ { i } x _ { m + i } , \sum _ { i = 0 } ^ { k } \beta _ { i } y _ { m + i } \right).$ ; confidence 0.166

169. b13002057.png ; $U _ { x }$ ; confidence 0.166

170. b12003031.png ; $g_{n,m}$ ; confidence 0.166

171. l13010066.png ; $\operatorname { supp } a _ { \operatorname {e} } ( x , \alpha , p ) \subset [ - \delta , \delta ]$ ; confidence 0.166

172. w120070108.png ; $r ^ { 2 } = \sum \| A _ { j } \| ^ { 2 }$ ; confidence 0.166

173. s13045015.png ; $U = \sum _ { u } u ( u ^ { 2 } - 1 ) / 12$ ; confidence 0.165

174. b13026021.png ; $d [ f / \| f \| , \partial K , S ^ { n - 1 } ]$ ; confidence 0.165

175. g13006021.png ; $r _ { i } ( A ) : = \sum _ { j = 1 \atop j \neq i } ^ { n } | a _ { i , j } |.$ ; confidence 0.165

176. w12019023.png ; $A _ { k l }$ ; confidence 0.165

177. b13004060.png ; $\cap _ { n = 1 } ^ { \infty } U _ { n } = \cap _ { n = 1 } ^ { \infty } V _ { n } \neq \emptyset$ ; confidence 0.165

178. k13001015.png ; $\langle D \rangle = \sum _ { s } A ^ { T ( s ) } ( - A ^ { 2 } - A ^ { - 2 } ) ^ { | s D | - 1 }, $ ; confidence 0.165

179. s1301408.png ; $Q_{( r , s )} = q_ r q _ { s } + 2 \sum _ { i = 1 } ^ { s } ( - 1 ) ^ { i } q_{r + i} q _ { s - i},$ ; confidence 0.165

180. b130200158.png ; $r_i : \mathfrak{h}^ { e ^ { * } } \rightarrow \mathfrak{h} ^ { e ^ { * } }$ ; confidence 0.165

181. n067520462.png ; $j \neq i_ 1 , \ldots , i_l$ ; confidence 0.165

182. i13002045.png ; $P _ { \text { max } }$ ; confidence 0.165

183. s120340131.png ; $\alpha _ { H } ( \tilde{x} _ { + } ) - \alpha _ { H } ( \tilde{x} _ { - } )$ ; confidence 0.165

184. d120020200.png ; $\tilde{v} ( \tilde { u } _ { 1 } ) > 0$ ; confidence 0.165

185. l06003012.png ; $T P U$ ; confidence 0.165

186. t13009025.png ; $M \stackrel { f } { \rightarrow } N \stackrel { \pi } { \rightarrow } I$ ; confidence 0.165

187. f13028022.png ; $\tilde{A} \mathbf{x}$ ; confidence 0.165

188. l12007017.png ; $v _ { t + 1} = L v_ t $ ; confidence 0.165

189. p12011040.png ; $v$ ; confidence 0.165

190. w12011041.png ; $\mathcal{H} ( u , v ) ( x , \xi ) = 2 ^ { n } \langle \sigma _ { x , \xi }u , v \rangle _ { L^2 ( \mathbf{R} ^ { n } )} , ( \sigma _ { x , \xi} u ) ( y ) = u ( 2 x - y ) \operatorname { exp } ( - 4 i \pi ( x - y ) . \xi).$ ; confidence 0.164

191. t12007045.png ; $V ^ { \natural } = \oplus _ { n } V _ { n }$ ; confidence 0.164

192. w12007068.png ; $a , b \in \mathbf{C} ^ { n }$ ; confidence 0.164

193. i130030181.png ; $\phi _ { * } ( \text { ind } ( D ) ) = ( - 1 ) ^ { n } \left( 2 \pi i ) ^ { - m } ( \operatorname {Ch} ( [ a ] ) \mathcal{T} ( M ) f ^ { * } \phi \right) [ T ^ { * } M ].$ ; confidence 0.164

194. l13001029.png ; $S _ { N } ( f ; x ) = \sum _ { |k| \leq N } \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.164

195. t120010105.png ; $\operatorname {SU} ( m ) / S ( U ( m - 2 ) \times U ( 1 ) ) , \operatorname {SO} ( k ) / \operatorname {SO} ( k - 4 ) \times \operatorname {Sp} ( 1 ),$ ; confidence 0.164

196. b12052091.png ; $w _ { n - 1 } = ( \| s _ { n - 1} \| _ { 2 } + v _ { n - 1 } ^ { T } w ) ^ { - 1 } w , s _ { n } = - ( I - w _ { n - 1 } v _ { n - 1 } ^ { T } ) w.$ ; confidence 0.164

197. b110220248.png ; $\mathbf{Q}$ ; confidence 0.164

198. y120010100.png ; $\sigma_{ U , V} ( u \otimes v ) = u ^ { ( 2 ) } . v \otimes u ^ { ( 1 ) }$ ; confidence 0.164

199. b11009049.png ; $F _ { 2 }$ ; confidence 0.164

200. z13010059.png ; $\forall x \exists z \forall v ( v \in z \leftrightarrow \forall w ( w \in v \rightarrow w \in x ) ).$ ; confidence 0.164

201. s13054088.png ; $\operatorname {SL} _ { n} ( \mathbf{Q} _ { p } )$ ; confidence 0.164

202. h04691029.png ; $\vee _ { a } ^ { b } g _ { n }$ ; confidence 0.164

203. d11008069.png ; $f ( w ^ { H _ { i } } | { v ^ { H _ { i } } } ) = f ( w | v )$ ; confidence 0.164

204. m12003020.png ; $T _ { n } ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.164

205. a01046052.png ; $\widetilde { D }$ ; confidence 0.164

206. c12031045.png ; $n ( \epsilon , F _ { d } ) \leq K . d ^ { p } . \epsilon ^ { - q } , \quad \forall d = 1,2 , \dots , \forall \epsilon \in ( 0,1 ],$ ; confidence 0.163

207. f130100129.png ; $\operatorname {sp} \hat { T } = ( \operatorname { supp } T ) ^ { - 1 }$ ; confidence 0.163

208. h12011040.png ; $S _ { n + 1 } = \left\{ z \in \mathbf{C} ^ { n + 1 } : \operatorname { Im } z _ { n + 1 } > \sum ^ { n _ { j = 1 } } | z _ { j } | ^ { 2 } \right\},$ ; confidence 0.163

209. o130010124.png ; $C ^ { \infty_0 }(D)$ ; confidence 0.163

210. d11022055.png ; $\int _ { a } ^ { b } p ^ { - 1 } \times \int _ { a } ^ { b } | q | < 4$ ; confidence 0.163

211. o13006085.png ; $\mathcal{H}^{ ( 1 )}$ ; confidence 0.163

212. s120230154.png ; $f _ { 1 } ( T ) = W ^ { ( n - n _ { 1 } - \ldots - n _ { s } ) / 2 } f ( T )$ ; confidence 0.163

213. a014310138.png ; $x \in y$ ; confidence 0.163

214. a13018039.png ; $\operatorname{mng}_ \tau$ ; confidence 0.163

215. t120050129.png ; $f : V ^ { n } \rightarrow W ^ { n }$ ; confidence 0.163

216. c12026085.png ; $U _ { h } ( t _ { n } )$ ; confidence 0.162

217. a014060104.png ; $ i = 1 , \ldots , r$ ; confidence 0.162

218. b12015033.png ; $d ^ { * } \in \cap_{ \mathsf{P} \in \mathcal{P}} L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.162

219. b13020037.png ; $[ h _ { i j } e _ { k } ] = \delta _ { i j } a _ { i k } e _ { k }$ ; confidence 0.162

220. t12021064.png ; $A ( C ; q , z ) = \sum _ { \mathbf{v} \in C } z ^ { w (\mathbf{v}) }$ ; confidence 0.162

221. t13005016.png ; $\operatorname { dim } \Lambda ^ { k } = \left( \begin{array} { l } { n } \\ { k } \end{array} \right)$ ; confidence 0.162

222. m13014099.png ; $r_{j,1} / r_{j,2} $ ; confidence 0.162

223. w120110248.png ; $g_{X} ( T ) = \frac { G _ { X } ( T ) } { H ( X ) [ 1 + a ( X ) + H ( X ) ^ { 2 } \| a ^ { \prime \prime } ( X ) \| ^ { 2 _{ G _ { X }}} ] ^ { 1 / 2 } }.$ ; confidence 0.162

224. k12008047.png ; $\int _ { [ p _ { 0 } \ldots p _ { r } ] } g = \int _ { S _ { r } } g ( v _ { 0 } p _ { 0 } + \ldots + v _ { r } p _ { r } ) d v _ { 1 } \ldots d v _ { r }.$ ; confidence 0.162

225. w130080177.png ; $( A , \overline { A } , t \sim t _ { a } )$ ; confidence 0.162

226. m1201509.png ; $\left( \begin{array} { c c c } { x _ { 11 } ( . ) } & { \dots } & { x _ { 1 n } ( . ) } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } ( . ) } & { \dots } & { x _ { p n } (1) } \end{array} \right), $ ; confidence 0.161

227. b12040069.png ; $\mathfrak{h}_R$ ; confidence 0.161

228. j1200105.png ; $\operatorname{det} JF \in \mathbf{C}^*$ ; confidence 0.161

229. a11002017.png ; $7$ ; confidence 0.161

230. b13006012.png ; $ \| x \| _ { 1 } = \sum _ { i } | x_i |, $ ; confidence 0.161

231. f12016021.png ; $\sigma ( T ) \backslash \sigma |_ { \text { lre } } ( T )$ ; confidence 0.161

232. d120020184.png ; $\overline { v } = \infty$ ; confidence 0.161

233. l12003017.png ; $\{ \mathcal{S} \operatorname {q} ^ { i } : i \geq 0 \}$ ; confidence 0.161

234. a13013058.png ; $s = \sum _ { i > 0 } \mathbf{C} \lambda ^ { i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \bigoplus \sum _ { i > 0 } \mathbf{C} \lambda ^ { - i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \bigoplus \mathbf{C} _{c},$ ; confidence 0.161

235. l12017040.png ; $\langle a , b | a b a = b a b , a ^ { 4 } = b ^ { 5 } \rangle$ ; confidence 0.161

236. w120110164.png ; $r _ { m - 2} \in S _ { \text{loc} } ^ { m - 2 } ( \Omega )$ ; confidence 0.161

237. b120130104.png ; $|F(0)|\geq |h(0)|$ ; confidence 0.161

238. l120120164.png ; $( K _ { s } ( \overline { \sigma } ) \cap K _ { totS } ) _ { ins }$ ; confidence 0.161

239. a11050020.png ; $\widetilde { \mathbf{Q} }_ p$ ; confidence 0.161

240. c02589041.png ; $\widetilde { H }$ ; confidence 0.160

241. b11002044.png ; $l \in \mathbf{R} ^ { n }$ ; confidence 0.160

242. f110160121.png ; $\psi _ { \mathfrak { A } } ^ { 0 } \overline {a}$ ; confidence 0.160

243. a01193041.png ; $\operatorname{GL} ( m , \mathbf{C} )$ ; confidence 0.160

244. c12031054.png ; $e _ { n } ^ { \operatorname {ran} } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ^ { \operatorname {ran} } ( Q _ { n } , F _ { d } )$ ; confidence 0.160

245. b12042090.png ; $\Psi _ { V , W } ( v \bigotimes w ) = q ^ { |v| | w | } w \bigotimes v$ ; confidence 0.160

246. b12027012.png ; $A ( t ) = t - S _ { N ( t )} , R ( t ) = S _ { N ( t ) + 1 } - t,$ ; confidence 0.160

247. b1106608.png ; $|Q|$ ; confidence 0.160

248. e12024022.png ; $P _ { l } ( x ) \in \mathbf{Z} [ x ]$ ; confidence 0.160

249. q12005055.png ; $H _ { k+1 } $ ; confidence 0.160

250. b110220221.png ; $\rightarrow \operatorname { Ext } _ { \mathcal{M} \mathcal{H} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \operatorname {B} } ^ { i } ( X ) , \mathbf{R} ( j ) ).$ ; confidence 0.159

251. b110220117.png ; $r : H _ { \mathcal{M} } ^ { \bullet } ( X , Q ( * ) ) \rightarrow H _ { \mathcal{D} } ^ { \bullet } ( X , A ( * ) )$ ; confidence 0.159

252. a014060310.png ; $g_i$ ; confidence 0.159

253. l13006029.png ; $P _ { k } = ( u _ { i + 1} , \dots , u _ { i + k})$ ; confidence 0.159

254. e12015049.png ; $\dot { x } ^ { i }$ ; confidence 0.159

255. f13007031.png ; $F ( r , m ) = ( x _ { 1 } , \dots , x _ { m } | x _ { i } \dots x _ { i + r - 1} = x _ { i + r } ),$ ; confidence 0.159

256. a13004014.png ; $\mathcal{D} = \{ \mathbf{Fm} , \vdash _ { \mathcal{D} } )$ ; confidence 0.159

257. b120420162.png ; $\lambda _ { \underline{1} } = \operatorname {id} , \lambda _ { W \bigotimes Z} = \lambda_{Z} \circ \lambda _ { W }$ ; confidence 0.159

258. k12011019.png ; $\mathbf{C} / \Lambda$ ; confidence 0.159

259. a130240407.png ; $\mathbf{M} _ { \mathsf{E} } = \sum _ { i j k } ( \mathbf{y} _ { i j k } - \mathbf{y} _ { i j }. ) ^ { \prime } ( \mathbf{y} _ { i j k } - \mathbf{y} _ { i j }. )$ ; confidence 0.159

260. w13013014.png ; $K = \kappa _ { 1 } \quad \kappa _ { 2 }$ ; confidence 0.159

261. a11032010.png ; $u _ { m + 1} = R _ { 0 } ^ { ( s + 1 ) } ( h T ) u _ { m } +$ ; confidence 0.159

262. b130200103.png ; $\alpha \mapsto x _ { \alpha } \in \mathfrak{h}$ ; confidence 0.159

263. w12010033.png ; $m _ { r s } = g _ { ij} Q _ { r } ^ { i } Q _ { s } ^ { j },$ ; confidence 0.159

264. f130290125.png ; $\textbf{SFRM}$ ; confidence 0.158

265. b120430118.png ; $\Psi ( \alpha \bigotimes \alpha ) = \alpha \bigotimes \alpha + ( 1 - q ^ { 2 } ) \beta \bigotimes \gamma,$ ; confidence 0.158

266. e12009017.png ; $F ^ { \mu \nu } = \left( \begin{array} { c c c c } { 0 } & { E _ { x } } & { E _ { y } } & { E _ { z } } \\ { - E _ { x } } & { 0 } & { H _ { z } } & { - H _ { y } } \\ { - E _ { y } } & { - H _ { z } } & { 0 } & { H _ { x } } \\ { - E _ { z } } & { H _ { y } } & { - H _ { x } } & { 0 } \end{array} \right),$ ; confidence 0.158

267. z13001026.png ; $\operatorname { lim } _ { |z | \rightarrow \infty } \tilde { x } ( z ) = x ( 0 )$ ; confidence 0.158

268. h13005019.png ; $\kappa _ { n } > 0$ ; confidence 0.158

269. b110220137.png ; $c ( i , m ) . \mathcal{L} ( i , m ) = \operatorname { det } _ { \mathbf{Q} } r _ { \mathcal{D} } ( H _ { \mathcal{M} } ^ { i + 1 } ( X , \mathbf{Q} ( i + 1 - m ) ) _ { \mathbf{Z} } ),$ ; confidence 0.157

270. e120230101.png ; $\mathcal{E} ^ { a } ( L ) ( \sigma ^ { 2 k } ( x ) ) = 0,$ ; confidence 0.157

271. w130080184.png ; $M _ { a }$ ; confidence 0.157

272. s12027014.png ; $( Q _ { n_i } [ f ] ) _ { i = 1,2 , \ldots }$ ; confidence 0.157

273. w12007044.png ; $\hat { f } ( \xi ) = \int _ { \mathbf{R} ^ { 2 n }} e ^ { - i x \xi } f ( x ) d x$ ; confidence 0.157

274. d11008057.png ; $[ L : K ] \geq \sum _ { i = 1 } ^ { m } e ( w _ { i } | v ) . f ( w _ { i } | w ).$ ; confidence 0.157

275. o12006022.png ; $\left\| f |_ { W ^{k} L _ { \Phi } ( \Omega ) } \right\| = \sum _ { | \alpha | \leq k } \| D ^ { \alpha } f \| _ { L _ { \Phi } ( \Omega ) }.$ ; confidence 0.157

276. g120040173.png ; $\sum _ { \alpha \in \mathbf{Z} _+^ { n } } \frac { a _ { \alpha } } { ( | \alpha | ! ) ^ { s - 1 } } x ^ { \alpha },$ ; confidence 0.157

277. d12002063.png ; $\overline{x} = \sum _ { k \in P } \overline { \lambda } _ { k } x ^ { ( k ) } + \sum _ { k \in R } \overline { \mu } _ { k } \tilde{x} ^ { ( k ) }$ ; confidence 0.156

278. m13019048.png ; $M _ { n } ( z ) = \left( \begin{array} { c c c } { \langle f _ { 0 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { 0 } , f _ { n } \rangle } \\ { \vdots } & { \square } & { \vdots } \\ { \langle f _ { n - 1 } , f _ { 0 } \rangle } & { \dots } & { \langle f _ { n - 1 } , f _ { n } \rangle } \\ { f _ { 0 } ( z ) } & { \dots } & { f _ { n } ( z ) } \end{array} \right).$ ; confidence 0.156

279. w120110238.png ; $a \sharp b \in S ( m _ { 1 } m _ { 2 } , G ),$ ; confidence 0.156

280. s12032091.png ; $T ^ { \operatorname {st} }$ ; confidence 0.156

281. a13013013.png ; $\frac { \partial } { \partial t _ { n } } P - \frac { \partial } { \partial x } Q ^ { ( n ) } + [ P , Q ^ { ( n ) } ] = 0 \Leftrightarrow$ ; confidence 0.156

282. m13025052.png ; $( x , \xi ) \in \operatorname {WF} ( v )$ ; confidence 0.156

283. s13011041.png ; $\mathfrak { S } _ { w }$ ; confidence 0.156

284. e12007063.png ; $F | _ { - k } ^ { \mathbf{v} } M = F + p _ { M } , \forall M \in \Gamma,$ ; confidence 0.156

285. s13002047.png ; $\int _ { \overline{U M} } f ( u ) d u = \int _ { U ^ { + } \partial M } \int _ { 0 } ^ { l ( v ) } f ( g _ { t } ( v ) ) d t \langle v , N _ { x } \rangle d v d x.$ ; confidence 0.156

286. w12021061.png ; $r _ { i , j } = \left\{ \begin{array} { l l } { 1 , } & { \text { if } i + j = m + 1, } \\ { 0 } & { \text { otherwise, } } \end{array} \right.$ ; confidence 0.156

287. f13001021.png ; $f _ { 1 } = \operatorname { gcd } ( x ^ {q } - x , f )$ ; confidence 0.156

288. c02003033.png ; $V ^ { n } \subset U ^ { n }$ ; confidence 0.156

289. b12017048.png ; $L _ { \alpha } ^ { 2 }$ ; confidence 0.156

290. a13007048.png ; $\alpha = \frac { b \sigma ( a ) } { a \varphi ( b ) }$ ; confidence 0.156

291. f11016053.png ; $f _ { \mathfrak { A } } ( P ) = f _ { \mathfrak { B } } ( P ) \cap A ^ { m }$ ; confidence 0.156

292. v130050120.png ; $( u _ { m } ( v ) ) _ { n } ( w ) = \sum _ { i \geq 0 } ( - 1 ) ^ { i } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { m - i }( v _ { n + i} ( w ) ) - ( - 1 ) ^ { m } v _ { m + n - i }( u _ { i } ( w ) ) )$ ; confidence 0.155

293. c021620463.png ; $h_* $ ; confidence 0.155

294. q07679049.png ; $4 m$ ; confidence 0.155

295. r13004020.png ; $j_{m,1}$ ; confidence 0.155

296. s13065055.png ; $S _ { k } ( 0 )$ ; confidence 0.155

297. b12034011.png ; $K _ { n } . U _ { 1 }$ ; confidence 0.155

298. i13005013.png ; $e ^ { i k x }$ ; confidence 0.155

299. a12015039.png ; $\mathfrak{g} \subset \text { End } ( V )$ ; confidence 0.155

300. c12008057.png ; $E , A \in C ^ { n \times n }$ ; confidence 0.155

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/73. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/73&oldid=45793