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(AUTOMATIC EDIT of page 14 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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2. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001090.png ; $M = K , \overline { U } _ { 1 } , U _ { - 1 } , U _ { 2 } , U _ { 3 } , U _ { 5 }$ ; confidence 0.994
 
2. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001090.png ; $M = K , \overline { U } _ { 1 } , U _ { - 1 } , U _ { 2 } , U _ { 3 } , U _ { 5 }$ ; confidence 0.994
  
3. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010069.png ; $T ( z ) = ( 1 - | z | ^ { 2 } ) ^ { 2 } / ( 1 + | z | ^ { 2 } ) ^ { 2 }$ ; confidence 0.994
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3. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010069.png ; $\tilde{T} ( z ) = ( 1 - | z | ^ { 2 } ) ^ { 2 } / ( 1 + | z | ^ { 2 } ) ^ { 2 }$ ; confidence 0.994
  
4. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010030.png ; $f : R _ { + } \rightarrow R _ { + }$ ; confidence 0.994
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4. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010030.png ; $f : \mathbf{R} _ { + } \rightarrow \mathbf{R} _ { + }$ ; confidence 0.994
  
 
5. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840216.png ; $\sigma ( T ) \cap \{ | \rho | = 1 \} = \emptyset$ ; confidence 0.994
 
5. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840216.png ; $\sigma ( T ) \cap \{ | \rho | = 1 \} = \emptyset$ ; confidence 0.994
  
6. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d12006016.png ; $T ( f ) ( x , t ) = f ( q x , t ) , \quad x , q \in R , q \neq 0$ ; confidence 0.994
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6. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d12006016.png ; $T ( f ) ( x , t ) = f ( q x , t ) , \quad x , q \in \mathbf{R} , q \neq 0.$ ; confidence 0.994
  
 
7. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002042.png ; $\overline { U M } = \{ u \in U M : l ( - u ) < \infty \} \cup U ^ { + } \partial M$ ; confidence 0.994
 
7. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002042.png ; $\overline { U M } = \{ u \in U M : l ( - u ) < \infty \} \cup U ^ { + } \partial M$ ; confidence 0.994
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8. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007029.png ; $A ( \alpha ^ { \prime } , \alpha ) : = A ( \alpha ^ { \prime } , k _ { 0 } )$ ; confidence 0.994
 
8. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007029.png ; $A ( \alpha ^ { \prime } , \alpha ) : = A ( \alpha ^ { \prime } , k _ { 0 } )$ ; confidence 0.994
  
9. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010033.png ; $\operatorname { log } | P ( z ) | \leq \int _ { K } \operatorname { log } | P ( \zeta ) | d \mu _ { z } ( \zeta ) , P \in P$ ; confidence 0.994
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9. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010033.png ; $\operatorname { log } | P ( z ) | \leq \int _ { K } \operatorname { log } | P ( \zeta ) | d \mu _ { z } ( \zeta ) , P \in \mathcal{P}$ ; confidence 0.994
  
 
10. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130130/f13013011.png ; $M \subset E _ { 2 }$ ; confidence 0.994
 
10. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130130/f13013011.png ; $M \subset E _ { 2 }$ ; confidence 0.994
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11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014020.png ; $1 \leq \lambda \leq \infty$ ; confidence 0.994
 
11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014020.png ; $1 \leq \lambda \leq \infty$ ; confidence 0.994
  
12. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050102.png ; $h ( T )$ ; confidence 0.993
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12. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050102.png ; $h ( \mathbf{T} )$ ; confidence 0.993
  
 
13. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130090/l1300904.png ; $\delta ^ { i } \lambda ^ { j }$ ; confidence 0.993
 
13. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130090/l1300904.png ; $\delta ^ { i } \lambda ^ { j }$ ; confidence 0.993
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16. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029083.png ; $x \in [ 0,1 ]$ ; confidence 0.993
 
16. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029083.png ; $x \in [ 0,1 ]$ ; confidence 0.993
  
17. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005044.png ; $\tau = \varepsilon ^ { 2 } t$ ; confidence 0.993
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17. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005044.png ; $\tau = \varepsilon ^ { 2 } t.$ ; confidence 0.993
  
18. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008079.png ; $u _ { k } \in M =$ ; confidence 0.993
+
18. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008079.png ; $u _ { k } \in \mathcal{M} =$ ; confidence 0.993
  
 
19. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025031.png ; $( u , f v )$ ; confidence 0.993
 
19. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025031.png ; $( u , f v )$ ; confidence 0.993
  
20. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008024.png ; $| K ( x , y ) | ^ { 2 } \leq K ( x , x ) K ( y , y )$ ; confidence 0.993
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20. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008024.png ; $| K ( x , y ) | ^ { 2 } \leq K ( x , x ) K ( y , y ).$ ; confidence 0.993
  
 
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280133.png ; $M ^ { U } ( E )$ ; confidence 0.993
 
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280133.png ; $M ^ { U } ( E )$ ; confidence 0.993
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24. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440107.png ; $b \mapsto b ^ { G }$ ; confidence 0.993
 
24. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440107.png ; $b \mapsto b ^ { G }$ ; confidence 0.993
  
25. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001086.png ; $( \pi , C , H , J )$ ; confidence 0.993
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25. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001086.png ; $( \pi , C , \mathcal{H} , J )$ ; confidence 0.993
  
 
26. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230140.png ; $( ( X _ { 0 } , B _ { 0 } ) , f _ { 0 } ) = ( ( X , B ) , f )$ ; confidence 0.993
 
26. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230140.png ; $( ( X _ { 0 } , B _ { 0 } ) , f _ { 0 } ) = ( ( X , B ) , f )$ ; confidence 0.993
  
27. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070151.png ; $= \int _ { T } d m ( t ) F ( t ) \overline { G ( t ) } = ( F , G ) _ { H }$ ; confidence 0.993
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27. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070151.png ; $= \int _ { T } d m ( t ) F ( t ) \overline { G ( t ) } = ( F , G ) _ { \mathcal{H} }.$ ; confidence 0.993
  
 
28. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012019.png ; $( E _ { 1 } , E _ { 2 } )$ ; confidence 0.993
 
28. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012019.png ; $( E _ { 1 } , E _ { 2 } )$ ; confidence 0.993
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29. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289090.png ; $\Lambda ( n )$ ; confidence 0.993
 
29. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289090.png ; $\Lambda ( n )$ ; confidence 0.993
  
30. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070265.png ; $2 g - 2 = \nu _ { 1 } ( 2 g _ { 1 } - 2 ) + \mathfrak { D } _ { 1 }$ ; confidence 0.993
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30. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070265.png ; $2 g - 2 = \nu _ { 1 } ( 2 g _ { 1 } - 2 ) + \mathfrak { D } _ { 1 }.$ ; confidence 0.993
  
31. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002067.png ; $q , r , d \in N$ ; confidence 0.993
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31. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002067.png ; $q , r , d \in \mathbf{N}$ ; confidence 0.993
  
32. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c1101607.png ; $=$ ; confidence 0.993
+
32. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c1101607.png ; $\equiv$ ; confidence 0.993
  
 
33. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011046.png ; $p : M \rightarrow S ^ { 1 }$ ; confidence 0.993
 
33. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011046.png ; $p : M \rightarrow S ^ { 1 }$ ; confidence 0.993
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36. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007075.png ; $( f , f ) = 0$ ; confidence 0.993
 
36. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007075.png ; $( f , f ) = 0$ ; confidence 0.993
  
37. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000108.png ; $\pi \{ ( x , y ) : \rho ( x , y ) \leq \epsilon / 2 \} = 1$ ; confidence 0.993
+
37. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000108.png ; $\pi \{ ( x , y ) : \rho ( x , y ) \leq \epsilon / 2 \} = 1.$ ; confidence 0.993
  
 
38. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148089.png ; $n = 5$ ; confidence 0.993
 
38. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148089.png ; $n = 5$ ; confidence 0.993
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060124.png ; $F$ ; confidence 0.993
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39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060124.png ; $\mathcal{F}$ ; confidence 0.993
  
 
40. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002082.png ; $m \mapsto V _ { F } ( m )$ ; confidence 0.993
 
40. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002082.png ; $m \mapsto V _ { F } ( m )$ ; confidence 0.993
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43. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022085.png ; $c = 24$ ; confidence 0.993
 
43. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022085.png ; $c = 24$ ; confidence 0.993
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026039.png ; $\nu : N \rightarrow N$ ; confidence 0.993
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026039.png ; $\nu :\mathbf{N} \rightarrow \mathbf{N}$ ; confidence 0.993
  
 
45. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019097.png ; $\sqrt { \sigma ( x , x ) }$ ; confidence 0.993
 
45. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019097.png ; $\sqrt { \sigma ( x , x ) }$ ; confidence 0.993
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47. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070201.png ; $s T = M ( T ) ^ { \mu }$ ; confidence 0.993
 
47. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070201.png ; $s T = M ( T ) ^ { \mu }$ ; confidence 0.993
  
48. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f1302808.png ; $B = \{ r : r \leq b \}$ ; confidence 0.993
+
48. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f1302808.png ; $B = \{ \mathbf{r} : \mathbf{r} \leq \mathbf{b} \}$ ; confidence 0.993
  
 
49. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751231.png ; $0 < \alpha _ { i } \leq 1$ ; confidence 0.993
 
49. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751231.png ; $0 < \alpha _ { i } \leq 1$ ; confidence 0.993
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018081.png ; $\operatorname { ln } ( 1 + t ) = t - t ^ { 2 } / 2 + t ^ { 3 } / 3 -$ ; confidence 0.993
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018081.png ; $\operatorname { ln } ( 1 + t ) = t - t ^ { 2 } / 2 + t ^ { 3 } / 3 - \dots$ ; confidence 0.993
  
 
51. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030091.png ; $B ( m , n , 0 ) = F _ { m }$ ; confidence 0.993
 
51. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030091.png ; $B ( m , n , 0 ) = F _ { m }$ ; confidence 0.993
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52. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007043.png ; $1 \leq i \leq j \leq k$ ; confidence 0.993
 
52. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007043.png ; $1 \leq i \leq j \leq k$ ; confidence 0.993
  
53. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005041.png ; $\frac { d ^ { 2 } \psi } { d x ^ { 2 } } + [ \lambda \rho ( x , t ) - u ( x , t ) ] \psi = 0 , - \infty < x < \infty$ ; confidence 0.993
+
53. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005041.png ; $\frac { d ^ { 2 } \psi } { d x ^ { 2 } } + [ \lambda \rho ( x , t ) - u ( x , t ) ] \psi = 0 , - \infty < x < \infty ,$ ; confidence 0.993
  
54. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015021.png ; $N ( D ( \Omega ) )$ ; confidence 0.993
+
54. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015021.png ; $\mathcal{N} ( \mathcal{D} ( \Omega ) )$ ; confidence 0.993
  
 
55. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013034.png ; $R / r = \sqrt { 2 }$ ; confidence 0.993
 
55. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013034.png ; $R / r = \sqrt { 2 }$ ; confidence 0.993
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57. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013065.png ; $\theta < \pi / 2 + \epsilon$ ; confidence 0.993
 
57. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013065.png ; $\theta < \pi / 2 + \epsilon$ ; confidence 0.993
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032058.png ; $( N ) = \frac { \alpha \operatorname { log } ( \frac { 1 - \beta } { \alpha } ) + ( 1 - \alpha ) \operatorname { log } ( \frac { \beta } { 1 - \alpha } ) } { ( p - q ) \operatorname { log } ( q / p ) }$ ; confidence 0.993
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032058.png ; $E_p ( N ) = \frac { \alpha \operatorname { log } ( \frac { 1 - \beta } { \alpha } ) + ( 1 - \alpha ) \operatorname { log } ( \frac { \beta } { 1 - \alpha } ) } { ( p - q ) \operatorname { log } ( q / p ) }.$ ; confidence 0.993
  
 
59. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001056.png ; $Z ( x ( n ) ) = \frac { z ( z - 1 ) } { ( z + 2 ) ^ { 3 } ( z + 3 ) } =$ ; confidence 0.993
 
59. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001056.png ; $Z ( x ( n ) ) = \frac { z ( z - 1 ) } { ( z + 2 ) ^ { 3 } ( z + 3 ) } =$ ; confidence 0.993
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61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024065.png ; $( t , u ) \mapsto f ( t , u )$ ; confidence 0.993
 
61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024065.png ; $( t , u ) \mapsto f ( t , u )$ ; confidence 0.993
  
62. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w1200703.png ; $f : R ^ { 2 n } \rightarrow R$ ; confidence 0.993
+
62. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w1200703.png ; $f : \mathbf{R} ^ { 2 n } \rightarrow \mathbf{R}$ ; confidence 0.993
  
63. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510149.png ; $P = \{ u \in V : \sigma ( u ) = 0 \}$ ; confidence 0.993
+
63. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510149.png ; $\mathcal{P} = \{ \mathbf{u} \in V : \sigma ( \mathbf{u} ) = 0 \},$ ; confidence 0.993
  
64. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004042.png ; $( g - g ) \psi ( t )$ ; confidence 0.993
+
64. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004042.png ; $( g - g_0 ) \psi ( t )$ ; confidence 0.993
  
 
65. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040038.png ; $E G$ ; confidence 0.993
 
65. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040038.png ; $E G$ ; confidence 0.993
  
66. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003025.png ; $\{ R ^ { * } \}$ ; confidence 0.993
+
66. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003025.png ; $\{ \mathcal{R} ^ { * } \}$ ; confidence 0.993
  
 
67. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019023.png ; $\varphi ( [ 0 , t ] , x ) \subset N$ ; confidence 0.993
 
67. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019023.png ; $\varphi ( [ 0 , t ] , x ) \subset N$ ; confidence 0.993
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74. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520235.png ; $R ( S A S ^ { - 1 } , S B ) = S R ( A , B )$ ; confidence 0.993
 
74. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520235.png ; $R ( S A S ^ { - 1 } , S B ) = S R ( A , B )$ ; confidence 0.993
  
75. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003063.png ; $L ^ { 2 } ( R )$ ; confidence 0.993
+
75. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003063.png ; $L ^ { 2 } ( \mathcal{R} )$ ; confidence 0.993
  
 
76. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h1300607.png ; $T _ { n } f \in M ( k )$ ; confidence 0.993
 
76. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h1300607.png ; $T _ { n } f \in M ( k )$ ; confidence 0.993
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81. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018064.png ; $E s ^ { 2 } + 2 F s t + G t ^ { 2 } \in C ^ { \infty } ( M ) [ s , t ]$ ; confidence 0.993
 
81. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018064.png ; $E s ^ { 2 } + 2 F s t + G t ^ { 2 } \in C ^ { \infty } ( M ) [ s , t ]$ ; confidence 0.993
  
82. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015026.png ; $f \in C ( T )$ ; confidence 0.993
+
82. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015026.png ; $f \in \mathcal{C} ( \mathbf{T} )$ ; confidence 0.993
  
 
83. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060107.png ; $f ( k )$ ; confidence 0.993
 
83. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060107.png ; $f ( k )$ ; confidence 0.993
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85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993
 
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993
  
86. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005026.png ; $0$ ; confidence 0.993
+
86. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005026.png ; $.0$ ; confidence 0.993
  
 
87. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010044.png ; $\gamma \geq 3 / 2$ ; confidence 0.993
 
87. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010044.png ; $\gamma \geq 3 / 2$ ; confidence 0.993
Line 178: Line 178:
 
89. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300127.png ; $K K$ ; confidence 0.993
 
89. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300127.png ; $K K$ ; confidence 0.993
  
90. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o1200509.png ; $w : R _ { + } \rightarrow R _ { + }$ ; confidence 0.993
+
90. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o1200509.png ; $w : \mathbf{R} _ { + } \rightarrow \mathbf{R} _ { + }$ ; confidence 0.993
  
 
91. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019039.png ; $[ L ^ { \prime } ]$ ; confidence 0.993
 
91. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019039.png ; $[ L ^ { \prime } ]$ ; confidence 0.993
  
92. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019065.png ; $v _ { 1 } = [ \alpha _ { 1 } , q _ { 1 } ]$ ; confidence 0.993
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019065.png ; $\mathbf{v} _ { 1 } = [ \alpha _ { 1 } , q _ { 1 } ]$ ; confidence 0.993
  
93. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840148.png ; $D ( T ) = K$ ; confidence 0.993
+
93. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840148.png ; $\mathcal{D} ( T ) = \mathcal{K}$ ; confidence 0.993
  
 
94. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007044.png ; $d w / d Z$ ; confidence 0.993
 
94. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007044.png ; $d w / d Z$ ; confidence 0.993
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99. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003017.png ; $( \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.993
 
99. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003017.png ; $( \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.993
  
100. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014038.png ; $| \zeta | > 1 , | \zeta ^ { \prime } | > 1$ ; confidence 0.993
+
100. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014038.png ; $| \zeta | > 1 , | \zeta ^ { \prime } | > 1.$ ; confidence 0.993
  
 
101. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001046.png ; $m \circ d = g$ ; confidence 0.993
 
101. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001046.png ; $m \circ d = g$ ; confidence 0.993
Line 204: Line 204:
 
102. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003067.png ; $\{ H ^ { * } B V \}$ ; confidence 0.993
 
102. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003067.png ; $\{ H ^ { * } B V \}$ ; confidence 0.993
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050115.png ; $\frac { \partial } { \partial s } U ( t , s ) v = U ( t , s ) A ( s ) v$ ; confidence 0.993
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050115.png ; $\frac { \partial } { \partial s } U ( t , s ) v = U ( t , s ) A ( s ) v.$ ; confidence 0.993
  
 
104. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003019.png ; $3 \mu \nu = \mu + \nu = 1$ ; confidence 0.993
 
104. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003019.png ; $3 \mu \nu = \mu + \nu = 1$ ; confidence 0.993
Line 222: Line 222:
 
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993
 
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993
  
112. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b1205202.png ; $F : R ^ { N } \rightarrow R ^ { N }$ ; confidence 0.993
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b1205202.png ; $F : \mathbf{R} ^ { N } \rightarrow \mathbf{R} ^ { N }$ ; confidence 0.993
  
 
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062095.png ; $q ( x ) = x ^ { 2 }$ ; confidence 0.993
 
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062095.png ; $q ( x ) = x ^ { 2 }$ ; confidence 0.993
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116. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754801.png ; $p \supset ( q \supset p )$ ; confidence 0.993
 
116. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754801.png ; $p \supset ( q \supset p )$ ; confidence 0.993
  
117. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001020.png ; $( D )$ ; confidence 0.993
+
117. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001020.png ; $\operatorname{Edge}( D )$ ; confidence 0.993
  
 
118. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020165.png ; $p : Z \rightarrow X$ ; confidence 0.993
 
118. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020165.png ; $p : Z \rightarrow X$ ; confidence 0.993
Line 240: Line 240:
 
120. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002071.png ; $\nu < N - 1$ ; confidence 0.993
 
120. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002071.png ; $\nu < N - 1$ ; confidence 0.993
  
121. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002021.png ; $( W , X )$ ; confidence 0.993
+
121. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002021.png ; $\operatorname{mor}( W , X )$ ; confidence 0.993
  
 
122. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110060/v1100608.png ; $\Delta ^ { 2 } u \equiv \frac { \partial ^ { 4 } u } { \partial x ^ { 4 } } + 2 \frac { \partial ^ { 4 } u } { \partial x ^ { 2 } \partial y ^ { 2 } } + \frac { \partial ^ { 4 } u } { \partial y ^ { 4 } }$ ; confidence 0.993
 
122. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110060/v1100608.png ; $\Delta ^ { 2 } u \equiv \frac { \partial ^ { 4 } u } { \partial x ^ { 4 } } + 2 \frac { \partial ^ { 4 } u } { \partial x ^ { 2 } \partial y ^ { 2 } } + \frac { \partial ^ { 4 } u } { \partial y ^ { 4 } }$ ; confidence 0.993
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125. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435078.png ; $\gamma ( F )$ ; confidence 0.993
 
125. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435078.png ; $\gamma ( F )$ ; confidence 0.993
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008025.png ; $E [ 0 , \sigma ] A ( f ) \Omega \neq 0$ ; confidence 0.993
+
126. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008025.png ; $E_{ [ 0 , \sigma ] } A ( f ) \Omega \neq 0$ ; confidence 0.993
  
127. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018053.png ; $A \subset R ^ { 2 }$ ; confidence 0.993
+
127. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018053.png ; $A \subset \mathcal{R} ^ { 2 }$ ; confidence 0.993
  
 
128. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007018.png ; $F ( 2,4 ) = \pi _ { 1 } ( L ( 5,2 ) )$ ; confidence 0.993
 
128. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007018.png ; $F ( 2,4 ) = \pi _ { 1 } ( L ( 5,2 ) )$ ; confidence 0.993
Line 286: Line 286:
 
143. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006035.png ; $J ^ { 1 } Y$ ; confidence 0.993
 
143. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006035.png ; $J ^ { 1 } Y$ ; confidence 0.993
  
144. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300102.png ; $( D )$ ; confidence 0.993
+
144. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300102.png ; $\operatorname { com }( D )$ ; confidence 0.993
  
 
145. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009031.png ; $A = G$ ; confidence 0.993
 
145. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009031.png ; $A = G$ ; confidence 0.993
  
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120070/k1200703.png ; $L ( V )$ ; confidence 0.993
+
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120070/k1200703.png ; $\mathcal{L} ( V )$ ; confidence 0.993
  
 
147. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190196.png ; $\Phi _ { 1 } = ( h _ { 1 } , h _ { 3 } , p , W _ { 1 } ^ { + } )$ ; confidence 0.993
 
147. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190196.png ; $\Phi _ { 1 } = ( h _ { 1 } , h _ { 3 } , p , W _ { 1 } ^ { + } )$ ; confidence 0.993
Line 316: Line 316:
 
158. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
 
158. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
  
159. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005058.png ; $E ( A ) = \frac { 1 } { 2 } \int _ { G } | \nabla A | ^ { 2 } d x + \frac { 1 } { 4 } \int _ { G } ( | A | ^ { 2 } - 1 ) ^ { 2 } d x$ ; confidence 0.993
+
159. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005058.png ; $E ( A ) = \frac { 1 } { 2 } \int _ { G } | \nabla A | ^ { 2 } d x + \frac { 1 } { 4 } \int _ { G } ( | A | ^ { 2 } - 1 ) ^ { 2 } d x.$ ; confidence 0.993
  
 
160. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602048.png ; $X _ { 2 } = 0$ ; confidence 0.993
 
160. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602048.png ; $X _ { 2 } = 0$ ; confidence 0.993
Line 324: Line 324:
 
162. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049046.png ; $r ( p _ { i } ) = r ( p _ { 0 } ) + i$ ; confidence 0.993
 
162. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049046.png ; $r ( p _ { i } ) = r ( p _ { 0 } ) + i$ ; confidence 0.993
  
163. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s1203001.png ; $( B _ { G } , X )$ ; confidence 0.993
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s1203001.png ; $\operatorname{Map}_{*}( B _ { G } , X )$ ; confidence 0.993
  
 
164. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009070.png ; $M \times \mathfrak { g } \rightarrow M$ ; confidence 0.993
 
164. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009070.png ; $M \times \mathfrak { g } \rightarrow M$ ; confidence 0.993
Line 336: Line 336:
 
168. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021110/c02111015.png ; $( \alpha , \alpha ^ { \prime } )$ ; confidence 0.993
 
168. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021110/c02111015.png ; $( \alpha , \alpha ^ { \prime } )$ ; confidence 0.993
  
169. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n1200206.png ; $M ( E )$ ; confidence 0.993
+
169. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n1200206.png ; $\mathcal{M} ( E )$ ; confidence 0.993
  
 
170. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017068.png ; $1 \leq j , k \leq n$ ; confidence 0.993
 
170. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017068.png ; $1 \leq j , k \leq n$ ; confidence 0.993
Line 346: Line 346:
 
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008075.png ; $f \in H ^ { 1 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.993
 
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008075.png ; $f \in H ^ { 1 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.993
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005094.png ; $t )$ ; confidence 0.993
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005094.png ; $\sup_{t \in [0,T]} ||B(t)||_X <\infty$ ; confidence 0.993
  
175. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007055.png ; $\operatorname { ln } q ^ { \prime } = \frac { s } { \pi } P \int _ { 0 } ^ { 1 } \frac { \theta ^ { \prime } ( s ^ { \prime } ) d s ^ { \prime } } { s ^ { \prime } ( s ^ { \prime } - s ) }$ ; confidence 0.993
+
175. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007055.png ; $\operatorname { ln } q ^ { \prime } = \frac { s } { \pi } P \int _ { 0 } ^ { 1 } \frac { \theta ^ { \prime } ( s ^ { \prime } ) d s ^ { \prime } } { s ^ { \prime } ( s ^ { \prime } - s ) }.$ ; confidence 0.993
  
 
176. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311035.png ; $i > j$ ; confidence 0.993
 
176. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311035.png ; $i > j$ ; confidence 0.993
  
177. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007050.png ; $( Z A )$ ; confidence 0.993
+
177. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007050.png ; $SGL_n( \mathbf{Z} A )$ ; confidence 0.993
  
178. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023080.png ; $L _ { K } = L ( K ) \in \operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.993
+
178. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023080.png ; $\mathcal{L} _ { K } = \mathcal{L} ( K ) \in \operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.993
  
179. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200207.png ; $M ( q ) \ddot { q } + C ( q , \dot { q } ) \dot { q } + g ( q ) + f ( \dot { q } ) = \tau$ ; confidence 0.993
+
179. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200207.png ; $M ( q ) \ddot { q } + C ( q , \dot { q } ) \dot { q } + g ( q ) + f ( \dot { q } ) = \tau,$ ; confidence 0.993
  
 
180. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008044.png ; $d ( w | v ) = 1$ ; confidence 0.993
 
180. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008044.png ; $d ( w | v ) = 1$ ; confidence 0.993
Line 368: Line 368:
 
184. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170132.png ; $M ( n + k )$ ; confidence 0.993
 
184. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170132.png ; $M ( n + k )$ ; confidence 0.993
  
185. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027032.png ; $= \frac { 1 } { ( p + 1 ) \pi } \int _ { - \pi } ^ { \pi } [ f ( x + t ) \operatorname { sin } \frac { 2 n + 1 - p } { 2 } t \frac { \operatorname { sin } ( p + 1 ) t / 2 } { 2 \operatorname { sin } ^ { 2 } t / 2 } ] d t$ ; confidence 0.993
+
185. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027032.png ; $= \frac { 1 } { ( p + 1 ) \pi } \int _ { - \pi } ^ { \pi } [ f ( x + t ) \operatorname { sin } \frac { 2 n + 1 - p } { 2 } t \frac { \operatorname { sin } ( p + 1 ) t / 2 } { 2 \operatorname { sin } ^ { 2 } t / 2 } ] d t,$ ; confidence 0.993
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022033.png ; $( M , s )$ ; confidence 0.993
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022033.png ; $\varepsilon \, ( M , s )$ ; confidence 0.993
  
 
187. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009044.png ; $\operatorname { lim } _ { x \rightarrow \eta } \mu _ { x } ^ { \Omega } = \delta _ { \eta }$ ; confidence 0.993
 
187. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009044.png ; $\operatorname { lim } _ { x \rightarrow \eta } \mu _ { x } ^ { \Omega } = \delta _ { \eta }$ ; confidence 0.993
Line 378: Line 378:
 
189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017049.png ; $f : K _ { 0 } \rightarrow K _ { 1 }$ ; confidence 0.993
 
189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017049.png ; $f : K _ { 0 } \rightarrow K _ { 1 }$ ; confidence 0.993
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050108.png ; $L ( Y ) = L ( Y , Y )$ ; confidence 0.993
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050108.png ; $\mathcal{L} ( Y ) = \mathcal{L} ( Y , Y )$ ; confidence 0.993
  
 
191. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020139.png ; $\Lambda ( F ) \neq \theta$ ; confidence 0.993
 
191. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020139.png ; $\Lambda ( F ) \neq \theta$ ; confidence 0.993
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232706.png ; $A \subset B$ ; confidence 0.993
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232706.png ; $A \subseteq B$ ; confidence 0.993
  
 
193. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007055.png ; $g = q ^ { H }$ ; confidence 0.993
 
193. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007055.png ; $g = q ^ { H }$ ; confidence 0.993
Line 398: Line 398:
 
199. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008021.png ; $s - 1$ ; confidence 0.993
 
199. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008021.png ; $s - 1$ ; confidence 0.993
  
200. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007022.png ; $v ( M _ { 1 } , M _ { 2 } ) = v ( M _ { 1 } ) v ( M _ { 2 } ) , M _ { 1 } , M _ { 2 } \in \Gamma$ ; confidence 0.993
+
200. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007022.png ; $\mathbf{v} ( M _ { 1 } , M _ { 2 } ) = \mathbf{v} ( M _ { 1 } ) \mathbf{v} ( M _ { 2 } ) , M _ { 1 } , M _ { 2 } \in \Gamma.$ ; confidence 0.993
  
 
201. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018082.png ; $E G - F ^ { 2 } > 0$ ; confidence 0.993
 
201. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018082.png ; $E G - F ^ { 2 } > 0$ ; confidence 0.993
Line 404: Line 404:
 
202. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003071.png ; $t ( z ) p ( z ) + q ( z ) v ( z ) = 1$ ; confidence 0.993
 
202. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003071.png ; $t ( z ) p ( z ) + q ( z ) v ( z ) = 1$ ; confidence 0.993
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110790/b11079040.png ; $2 + 3$ ; confidence 0.993
+
203. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110790/b11079040.png ; $2 / 3$ ; confidence 0.993
  
204. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008023.png ; $K ( x , y ) = \overline { K ( y , x ) } , K ( x , x ) \geq 0$ ; confidence 0.993
+
204. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008023.png ; $K ( x , y ) = \overline { K ( y , x ) } , K ( x , x ) \geq 0,$ ; confidence 0.993
  
 
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022082.png ; $j \geq 1$ ; confidence 0.993
 
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022082.png ; $j \geq 1$ ; confidence 0.993
Line 414: Line 414:
 
207. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008096.png ; $\chi = ( k _ { B } T ) ^ { - 1 } \operatorname { exp } ( 2 J / k _ { B } T )$ ; confidence 0.993
 
207. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008096.png ; $\chi = ( k _ { B } T ) ^ { - 1 } \operatorname { exp } ( 2 J / k _ { B } T )$ ; confidence 0.993
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040753.png ; $( \Sigma ( P , R ) )$ ; confidence 0.993
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040753.png ; $\mathfrak{m} \in \operatorname{Mod} _ { \mathcal{S} _{P \cup R}}( \Sigma ( P , R ) )$ ; confidence 0.993
  
 
209. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022590/c0225907.png ; $f : Y \rightarrow X$ ; confidence 0.993
 
209. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022590/c0225907.png ; $f : Y \rightarrow X$ ; confidence 0.993
  
210. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018045.png ; $( X , B , m )$ ; confidence 0.993
+
210. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018045.png ; $( X , \mathbf{B} , m )$ ; confidence 0.993
  
 
211. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510111.png ; $\gamma ( v ) = 1$ ; confidence 0.993
 
211. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510111.png ; $\gamma ( v ) = 1$ ; confidence 0.993
Line 424: Line 424:
 
212. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019032.png ; $\{ a , b \} \equiv \{ c , d \}$ ; confidence 0.993
 
212. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019032.png ; $\{ a , b \} \equiv \{ c , d \}$ ; confidence 0.993
  
213. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034061.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } c _ { k } z ^ { k } , \quad | z | < 1$ ; confidence 0.993
+
213. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034061.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } c _ { k } z ^ { k } , \quad | z | < 1,$ ; confidence 0.993
  
214. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003034.png ; $( H ^ { * } ( Y , F _ { p } ) , H ^ { * } ( X , F _ { p } ) )$ ; confidence 0.993
+
214. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003034.png ; $\operatorname{Hom}_{ \mathcal{K} } ( H ^ { * } ( Y , \mathbf{F} _ { p } ) , H ^ { * } ( X , \mathbf{F} _ { p } ) )$ ; confidence 0.993
  
215. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005047.png ; $\Gamma = G$ ; confidence 0.993
+
215. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005047.png ; $\operatorname{Aut}Gamma = G$ ; confidence 0.993
  
 
216. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008010.png ; $\rho = \sum _ { p = 1 } ^ { P } \rho _ { p }$ ; confidence 0.993
 
216. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008010.png ; $\rho = \sum _ { p = 1 } ^ { P } \rho _ { p }$ ; confidence 0.993
Line 436: Line 436:
 
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435028.png ; $F = F ( x )$ ; confidence 0.993
 
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435028.png ; $F = F ( x )$ ; confidence 0.993
  
219. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l1200401.png ; $\partial _ { t } u + \partial _ { x } f ( u ) = 0$ ; confidence 0.993
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l1200401.png ; $\partial _ { t } u + \partial _ { x } f ( u ) = 0.$ ; confidence 0.993
  
 
220. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203006.png ; $X ( 0 ) = x _ { 0 }$ ; confidence 0.993
 
220. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203006.png ; $X ( 0 ) = x _ { 0 }$ ; confidence 0.993
Line 442: Line 442:
 
221. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007024.png ; $g ( n ) \overline { h ( n ) }$ ; confidence 0.993
 
221. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007024.png ; $g ( n ) \overline { h ( n ) }$ ; confidence 0.993
  
222. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041054.png ; $\int _ { - 1 } ^ { 1 } \frac { \operatorname { ln } \mu _ { 0 } ^ { \prime } ( x ) } { \sqrt { 1 - x ^ { 2 } } } d x > - \infty$ ; confidence 0.993
+
222. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041054.png ; $\int _ { - 1 } ^ { 1 } \frac { \operatorname { ln } \mu _ { 0 } ^ { \prime } ( x ) } { \sqrt { 1 - x ^ { 2 } } } d x > - \infty.$ ; confidence 0.993
  
223. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011036.png ; $f : E ( \vec { G } ) \rightarrow Z _ { 4 } ^ { * }$ ; confidence 0.993
+
223. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011036.png ; $f : E ( \vec { G } ) \rightarrow \mathbf{Z} _ { 4 } ^ { * }$ ; confidence 0.993
  
 
224. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017055.png ; $0$ ; confidence 0.993
 
224. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017055.png ; $0$ ; confidence 0.993
Line 452: Line 452:
 
226. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001025.png ; $\frac { \partial u ^ { \prime } ( \xi ^ { \prime } ( \xi , \eta ) , \eta ^ { \prime } ( \xi , \eta ) ) } { \partial \xi ^ { \prime } } =$ ; confidence 0.993
 
226. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001025.png ; $\frac { \partial u ^ { \prime } ( \xi ^ { \prime } ( \xi , \eta ) , \eta ^ { \prime } ( \xi , \eta ) ) } { \partial \xi ^ { \prime } } =$ ; confidence 0.993
  
227. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004017.png ; $= \sum _ { k = 1 } ^ { \infty } \frac { \operatorname { sin } ( k z ) } { k ^ { 2 } }$ ; confidence 0.993
+
227. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004017.png ; $= \sum _ { k = 1 } ^ { \infty } \frac { \operatorname { sin } ( k z ) } { k ^ { 2 } },$ ; confidence 0.993
  
 
228. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003049.png ; $\{ \lambda : u _ { \lambda } \equiv 0 \}$ ; confidence 0.993
 
228. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003049.png ; $\{ \lambda : u _ { \lambda } \equiv 0 \}$ ; confidence 0.993
  
229. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005025.png ; $H ( U )$ ; confidence 0.993
+
229. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005025.png ; $\mathcal{H} ( U )$ ; confidence 0.993
  
 
230. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004012.png ; $\chi ^ { \prime } ( G ) \leq 3 \Delta ( G ) / 2$ ; confidence 0.993
 
230. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004012.png ; $\chi ^ { \prime } ( G ) \leq 3 \Delta ( G ) / 2$ ; confidence 0.993
Line 464: Line 464:
 
232. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003090.png ; $H ^ { * } B E$ ; confidence 0.993
 
232. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003090.png ; $H ^ { * } B E$ ; confidence 0.993
  
233. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029056.png ; $T ( u )$ ; confidence 0.993
+
233. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029056.png ; $\mathcal{T} ( u )$ ; confidence 0.993
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020041.png ; $M = \theta H ^ { 2 }$ ; confidence 0.993
+
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020041.png ; $\mathcal{M} = \theta H ^ { 2 }$ ; confidence 0.993
  
 
235. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030093.png ; $i \geq 1$ ; confidence 0.993
 
235. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030093.png ; $i \geq 1$ ; confidence 0.993
  
236. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004042.png ; $0 = \mu _ { 1 } ( \Omega ) < \mu _ { 2 } ( \Omega ) \leq \mu _ { 3 } ( \Omega ) \leq$ ; confidence 0.993
+
236. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004042.png ; $0 = \mu _ { 1 } ( \Omega ) < \mu _ { 2 } ( \Omega ) \leq \mu _ { 3 } ( \Omega ) \leq \dots$ ; confidence 0.993
  
 
237. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012065.png ; $\phi _ { 2 } \circ \phi _ { 1 } = \phi _ { 3 }$ ; confidence 0.993
 
237. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012065.png ; $\phi _ { 2 } \circ \phi _ { 1 } = \phi _ { 3 }$ ; confidence 0.993
Line 482: Line 482:
 
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993
 
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993
  
242. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003049.png ; $( Z f ) ( t , w ) = - ( Z f ) ( - t , - w )$ ; confidence 0.993
+
242. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003049.png ; $( Z f ) ( t , w ) = - ( Z f ) ( - t , - w ).$ ; confidence 0.993
  
 
243. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012010/a01201067.png ; $m > 2$ ; confidence 0.993
 
243. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012010/a01201067.png ; $m > 2$ ; confidence 0.993
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246. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m120130113.png ; $p \ll 1$ ; confidence 0.993
 
246. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m120130113.png ; $p \ll 1$ ; confidence 0.993
  
247. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840112.png ; $[ L _ { + } , L _ { - } ] = \{ 0 \}$ ; confidence 0.993
+
247. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840112.png ; $[ \mathcal{L} _ { + } , \mathcal{L} _ { - } ] = \{ 0 \}$ ; confidence 0.993
  
 
248. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026035.png ; $S _ { n } = \sum _ { k = 1 } ^ { n } \alpha _ { k }$ ; confidence 0.993
 
248. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026035.png ; $S _ { n } = \sum _ { k = 1 } ^ { n } \alpha _ { k }$ ; confidence 0.993
Line 506: Line 506:
 
253. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001022.png ; $x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } - t ^ { 2 }$ ; confidence 0.993
 
253. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001022.png ; $x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } - t ^ { 2 }$ ; confidence 0.993
  
254. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100104.png ; $K _ { E } ( V ) = \sqrt { V _ { - } } ( - \Delta + E ) ^ { - 1 } \sqrt { V _ { - } }$ ; confidence 0.993
+
254. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100104.png ; $K _ { E } ( V ) = \sqrt { V _ { - } } ( - \Delta + E ) ^ { - 1 } \sqrt { V _ { - } }.$ ; confidence 0.993
  
 
255. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734043.png ; $\Phi ( z )$ ; confidence 0.993
 
255. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734043.png ; $\Phi ( z )$ ; confidence 0.993
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259. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v09603018.png ; $1.614 \mu$ ; confidence 0.993
 
259. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v09603018.png ; $1.614 \mu$ ; confidence 0.993
  
260. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017017.png ; $\omega _ { \alpha + 1 } ( G ) / \omega _ { \alpha } ( G ) = \omega ( G / \omega _ { \alpha } ( G ) ) , \omega _ { \lambda } ( G ) = \cup _ { \beta < \lambda } \omega _ { \beta } ( G )$ ; confidence 0.993
+
260. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017017.png ; $\omega _ { \alpha + 1 } ( G ) / \omega _ { \alpha } ( G ) = \omega ( G / \omega _ { \alpha } ( G ) ) , \omega _ { \lambda } ( G ) = \cup _ { \beta < \lambda } \omega _ { \beta } ( G ),$ ; confidence 0.993
  
 
261. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007054.png ; $u _ { j } : = ( u , \varphi _ { j } ) _ { 0 }$ ; confidence 0.993
 
261. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007054.png ; $u _ { j } : = ( u , \varphi _ { j } ) _ { 0 }$ ; confidence 0.993
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264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025024.png ; $q \leq 32$ ; confidence 0.993
 
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025024.png ; $q \leq 32$ ; confidence 0.993
  
265. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002026.png ; $p _ { i } \rightarrow 0$ ; confidence 0.993
+
265. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002026.png ; $\max p _ { i } \rightarrow 0$ ; confidence 0.993
  
 
266. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014042.png ; $H = S$ ; confidence 0.993
 
266. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014042.png ; $H = S$ ; confidence 0.993
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272. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006096.png ; $A ( x ) = 2 \Gamma _ { 2 x } ( 2 x , 0 )$ ; confidence 0.992
 
272. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006096.png ; $A ( x ) = 2 \Gamma _ { 2 x } ( 2 x , 0 )$ ; confidence 0.992
  
273. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900151.png ; $H = \oplus _ { p = 1 } ^ { \infty } L _ { 2 } ( Z _ { p } , \mu , H _ { p } )$ ; confidence 0.992
+
273. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900151.png ; $H = \oplus _ { p = 1 } ^ { \infty } L _ { 2 } ( Z _ { \ddot { q } } , \mu , H _ { p } ),$ ; confidence 0.992
  
 
274. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601059.png ; $\tau ( W , M _ { 1 } ) = 0$ ; confidence 0.992
 
274. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601059.png ; $\tau ( W , M _ { 1 } ) = 0$ ; confidence 0.992
Line 560: Line 560:
 
280. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051031.png ; $\nabla f ( x ^ { * } ) = 0$ ; confidence 0.992
 
280. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051031.png ; $\nabla f ( x ^ { * } ) = 0$ ; confidence 0.992
  
281. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026025.png ; $\Gamma ( L ^ { 2 } ( R ) )$ ; confidence 0.992
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026025.png ; $\Gamma ( L ^ { 2 } ( \mathbf{R} ) )$ ; confidence 0.992
  
 
282. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028013.png ; $U \supset K$ ; confidence 0.992
 
282. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028013.png ; $U \supset K$ ; confidence 0.992
  
283. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002031.png ; $12$ ; confidence 0.992
+
283. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002031.png ; $I_2$ ; confidence 0.992
  
 
284. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025029.png ; $f \in C ^ { \infty } ( \Omega )$ ; confidence 0.992
 
284. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025029.png ; $f \in C ^ { \infty } ( \Omega )$ ; confidence 0.992
Line 592: Line 592:
 
296. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003059.png ; $r ( z ) = \sum _ { i = 1 } ^ { 2 n - 1 } s _ { i } z ^ { - i }$ ; confidence 0.992
 
296. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003059.png ; $r ( z ) = \sum _ { i = 1 } ^ { 2 n - 1 } s _ { i } z ^ { - i }$ ; confidence 0.992
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030035.png ; $n = \operatorname { dim } ( H ) \geq 2$ ; confidence 0.992
+
297. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030035.png ; $n = \operatorname { dim } ( \mathcal{H} ) \geq 2$ ; confidence 0.992
  
 
298. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022073.png ; $\operatorname { det } ( \Delta + z )$ ; confidence 0.992
 
298. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022073.png ; $\operatorname { det } ( \Delta + z )$ ; confidence 0.992

Revision as of 22:07, 28 March 2020

List

1. a120310111.png ; $M ( C ( S ) , \alpha , G )$ ; confidence 0.994

2. z12001090.png ; $M = K , \overline { U } _ { 1 } , U _ { - 1 } , U _ { 2 } , U _ { 3 } , U _ { 5 }$ ; confidence 0.994

3. b13010069.png ; $\tilde{T} ( z ) = ( 1 - | z | ^ { 2 } ) ^ { 2 } / ( 1 + | z | ^ { 2 } ) ^ { 2 }$ ; confidence 0.994

4. w13010030.png ; $f : \mathbf{R} _ { + } \rightarrow \mathbf{R} _ { + }$ ; confidence 0.994

5. k055840216.png ; $\sigma ( T ) \cap \{ | \rho | = 1 \} = \emptyset$ ; confidence 0.994

6. d12006016.png ; $T ( f ) ( x , t ) = f ( q x , t ) , \quad x , q \in \mathbf{R} , q \neq 0.$ ; confidence 0.994

7. s13002042.png ; $\overline { U M } = \{ u \in U M : l ( - u ) < \infty \} \cup U ^ { + } \partial M$ ; confidence 0.994

8. i13007029.png ; $A ( \alpha ^ { \prime } , \alpha ) : = A ( \alpha ^ { \prime } , k _ { 0 } )$ ; confidence 0.994

9. p13010033.png ; $\operatorname { log } | P ( z ) | \leq \int _ { K } \operatorname { log } | P ( \zeta ) | d \mu _ { z } ( \zeta ) , P \in \mathcal{P}$ ; confidence 0.994

10. f13013011.png ; $M \subset E _ { 2 }$ ; confidence 0.994

11. f12014020.png ; $1 \leq \lambda \leq \infty$ ; confidence 0.994

12. q130050102.png ; $h ( \mathbf{T} )$ ; confidence 0.993

13. l1300904.png ; $\delta ^ { i } \lambda ^ { j }$ ; confidence 0.993

14. l12017029.png ; $R _ { i } \rightarrow R _ { i } ^ { - 1 }$ ; confidence 0.993

15. b12021091.png ; $\alpha \in \Pi$ ; confidence 0.993

16. d12029083.png ; $x \in [ 0,1 ]$ ; confidence 0.993

17. g12005044.png ; $\tau = \varepsilon ^ { 2 } t.$ ; confidence 0.993

18. w13008079.png ; $u _ { k } \in \mathcal{M} =$ ; confidence 0.993

19. m13025031.png ; $( u , f v )$ ; confidence 0.993

20. r13008024.png ; $| K ( x , y ) | ^ { 2 } \leq K ( x , x ) K ( y , y ).$ ; confidence 0.993

21. a120280133.png ; $M ^ { U } ( E )$ ; confidence 0.993

22. b1205602.png ; $\lambda _ { 1 } = \lambda _ { 1 } ( M )$ ; confidence 0.993

23. g12004068.png ; $( x , \xi ) \in \Gamma$ ; confidence 0.993

24. b120440107.png ; $b \mapsto b ^ { G }$ ; confidence 0.993

25. q12001086.png ; $( \pi , C , \mathcal{H} , J )$ ; confidence 0.993

26. m130230140.png ; $( ( X _ { 0 } , B _ { 0 } ) , f _ { 0 } ) = ( ( X , B ) , f )$ ; confidence 0.993

27. r130070151.png ; $= \int _ { T } d m ( t ) F ( t ) \overline { G ( t ) } = ( F , G ) _ { \mathcal{H} }.$ ; confidence 0.993

28. h13012019.png ; $( E _ { 1 } , E _ { 2 } )$ ; confidence 0.993

29. d03289090.png ; $\Lambda ( n )$ ; confidence 0.993

30. c130070265.png ; $2 g - 2 = \nu _ { 1 } ( 2 g _ { 1 } - 2 ) + \mathfrak { D } _ { 1 }.$ ; confidence 0.993

31. h13002067.png ; $q , r , d \in \mathbf{N}$ ; confidence 0.993

32. c1101607.png ; $\equiv$ ; confidence 0.993

33. m12011046.png ; $p : M \rightarrow S ^ { 1 }$ ; confidence 0.993

34. f12011045.png ; $F _ { j } ( z ) e ^ { - i z \zeta }$ ; confidence 0.993

35. l12014029.png ; $A \in L _ { 0 } ( X )$ ; confidence 0.993

36. r13007075.png ; $( f , f ) = 0$ ; confidence 0.993

37. e035000108.png ; $\pi \{ ( x , y ) : \rho ( x , y ) \leq \epsilon / 2 \} = 1.$ ; confidence 0.993

38. a01148089.png ; $n = 5$ ; confidence 0.993

39. a130060124.png ; $\mathcal{F}$ ; confidence 0.993

40. n12002082.png ; $m \mapsto V _ { F } ( m )$ ; confidence 0.993

41. a1302707.png ; $\{ Y _ { n } \} \subset Y$ ; confidence 0.993

42. b12022029.png ; $u ( t , x )$ ; confidence 0.993

43. m13022085.png ; $c = 24$ ; confidence 0.993

44. a12026039.png ; $\nu :\mathbf{N} \rightarrow \mathbf{N}$ ; confidence 0.993

45. e12019097.png ; $\sqrt { \sigma ( x , x ) }$ ; confidence 0.993

46. a12012029.png ; $\mu _ { i } > 0$ ; confidence 0.993

47. c130070201.png ; $s T = M ( T ) ^ { \mu }$ ; confidence 0.993

48. f1302808.png ; $B = \{ \mathbf{r} : \mathbf{r} \leq \mathbf{b} \}$ ; confidence 0.993

49. h04751231.png ; $0 < \alpha _ { i } \leq 1$ ; confidence 0.993

50. a12018081.png ; $\operatorname { ln } ( 1 + t ) = t - t ^ { 2 } / 2 + t ^ { 3 } / 3 - \dots$ ; confidence 0.993

51. b13030091.png ; $B ( m , n , 0 ) = F _ { m }$ ; confidence 0.993

52. l12007043.png ; $1 \leq i \leq j \leq k$ ; confidence 0.993

53. h13005041.png ; $\frac { d ^ { 2 } \psi } { d x ^ { 2 } } + [ \lambda \rho ( x , t ) - u ( x , t ) ] \psi = 0 , - \infty < x < \infty ,$ ; confidence 0.993

54. c13015021.png ; $\mathcal{N} ( \mathcal{D} ( \Omega ) )$ ; confidence 0.993

55. w13013034.png ; $R / r = \sqrt { 2 }$ ; confidence 0.993

56. p12014055.png ; $m \geq 1$ ; confidence 0.993

57. d13013065.png ; $\theta < \pi / 2 + \epsilon$ ; confidence 0.993

58. a13032058.png ; $E_p ( N ) = \frac { \alpha \operatorname { log } ( \frac { 1 - \beta } { \alpha } ) + ( 1 - \alpha ) \operatorname { log } ( \frac { \beta } { 1 - \alpha } ) } { ( p - q ) \operatorname { log } ( q / p ) }.$ ; confidence 0.993

59. z13001056.png ; $Z ( x ( n ) ) = \frac { z ( z - 1 ) } { ( z + 2 ) ^ { 3 } ( z + 3 ) } =$ ; confidence 0.993

60. w120030146.png ; $f \in \Omega ^ { \prime }$ ; confidence 0.993

61. f12024065.png ; $( t , u ) \mapsto f ( t , u )$ ; confidence 0.993

62. w1200703.png ; $f : \mathbf{R} ^ { 2 n } \rightarrow \mathbf{R}$ ; confidence 0.993

63. s130510149.png ; $\mathcal{P} = \{ \mathbf{u} \in V : \sigma ( \mathbf{u} ) = 0 \},$ ; confidence 0.993

64. e13004042.png ; $( g - g_0 ) \psi ( t )$ ; confidence 0.993

65. s13040038.png ; $E G$ ; confidence 0.993

66. l12003025.png ; $\{ \mathcal{R} ^ { * } \}$ ; confidence 0.993

67. c13019023.png ; $\varphi ( [ 0 , t ] , x ) \subset N$ ; confidence 0.993

68. i12001027.png ; $\Phi _ { 1 } \prec \Phi _ { 2 }$ ; confidence 0.993

69. f12015028.png ; $A + K \in \Phi ( X , Y )$ ; confidence 0.993

70. l12010016.png ; $\gamma = 1 / 2$ ; confidence 0.993

71. d1202601.png ; $S _ { n } = \sum _ { k = 1 } ^ { n } \xi _ { k }$ ; confidence 0.993

72. w13004045.png ; $\sum _ { j = 1 } ^ { 3 } | \omega _ { j } | ^ { 2 } \neq 0$ ; confidence 0.993

73. g0447504.png ; $( k \times k )$ ; confidence 0.993

74. n067520235.png ; $R ( S A S ^ { - 1 } , S B ) = S R ( A , B )$ ; confidence 0.993

75. z13003063.png ; $L ^ { 2 } ( \mathcal{R} )$ ; confidence 0.993

76. h1300607.png ; $T _ { n } f \in M ( k )$ ; confidence 0.993

77. e12002047.png ; $Z = [ 0,1 ]$ ; confidence 0.993

78. e13007059.png ; $T \ll N ^ { 2 }$ ; confidence 0.993

79. f120150164.png ; $A \in \Phi _ { + } ( X , Y )$ ; confidence 0.993

80. b1302509.png ; $\angle \Omega C A$ ; confidence 0.993

81. c12018064.png ; $E s ^ { 2 } + 2 F s t + G t ^ { 2 } \in C ^ { \infty } ( M ) [ s , t ]$ ; confidence 0.993

82. t13015026.png ; $f \in \mathcal{C} ( \mathbf{T} )$ ; confidence 0.993

83. i130060107.png ; $f ( k )$ ; confidence 0.993

84. b12013088.png ; $f = \varphi F$ ; confidence 0.993

85. a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993

86. v13005026.png ; $.0$ ; confidence 0.993

87. l12010044.png ; $\gamma \geq 3 / 2$ ; confidence 0.993

88. a13008046.png ; $- \frac { d } { d s } \operatorname { ln } \alpha ( s ) = - \frac { d } { d L } \operatorname { ln } \frac { f ( L ) } { g ( L ; m , s ) } \frac { d L } { d s } +$ ; confidence 0.993

89. c120300127.png ; $K K$ ; confidence 0.993

90. o1200509.png ; $w : \mathbf{R} _ { + } \rightarrow \mathbf{R} _ { + }$ ; confidence 0.993

91. c13019039.png ; $[ L ^ { \prime } ]$ ; confidence 0.993

92. b13019065.png ; $\mathbf{v} _ { 1 } = [ \alpha _ { 1 } , q _ { 1 } ]$ ; confidence 0.993

93. k055840148.png ; $\mathcal{D} ( T ) = \mathcal{K}$ ; confidence 0.993

94. v13007044.png ; $d w / d Z$ ; confidence 0.993

95. m12013032.png ; $d n / d t$ ; confidence 0.993

96. b13010051.png ; $\varphi \in L ^ { \infty } ( D , d A )$ ; confidence 0.993

97. w13013013.png ; $\delta W = 0$ ; confidence 0.993

98. i12008015.png ; $\rho _ { i } = 1$ ; confidence 0.993

99. g13003017.png ; $( \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.993

100. f12014038.png ; $| \zeta | > 1 , | \zeta ^ { \prime } | > 1.$ ; confidence 0.993

101. e12001046.png ; $m \circ d = g$ ; confidence 0.993

102. l12003067.png ; $\{ H ^ { * } B V \}$ ; confidence 0.993

103. a120050115.png ; $\frac { \partial } { \partial s } U ( t , s ) v = U ( t , s ) A ( s ) v.$ ; confidence 0.993

104. o13003019.png ; $3 \mu \nu = \mu + \nu = 1$ ; confidence 0.993

105. p1300905.png ; $B ( x _ { 0 } , r )$ ; confidence 0.993

106. a01296045.png ; $\alpha = 1$ ; confidence 0.993

107. s13041048.png ; $d \mu _ { 1 } = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta } d x$ ; confidence 0.993

108. p12015071.png ; $f \in C ( X )$ ; confidence 0.993

109. a130060112.png ; $\alpha > 1$ ; confidence 0.993

110. d12005032.png ; $C = C _ { f }$ ; confidence 0.993

111. a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993

112. b1205202.png ; $F : \mathbf{R} ^ { N } \rightarrow \mathbf{R} ^ { N }$ ; confidence 0.993

113. s13062095.png ; $q ( x ) = x ^ { 2 }$ ; confidence 0.993

114. d1300202.png ; $\alpha ( B )$ ; confidence 0.993

115. b130290146.png ; $\operatorname { dim } A \geq 2$ ; confidence 0.993

116. p0754801.png ; $p \supset ( q \supset p )$ ; confidence 0.993

117. j13001020.png ; $\operatorname{Edge}( D )$ ; confidence 0.993

118. v120020165.png ; $p : Z \rightarrow X$ ; confidence 0.993

119. w12006094.png ; $\xi : C ^ { \infty } ( M , R ) \rightarrow C ^ { \infty } ( M , N )$ ; confidence 0.993

120. v12002071.png ; $\nu < N - 1$ ; confidence 0.993

121. e12002021.png ; $\operatorname{mor}( W , X )$ ; confidence 0.993

122. v1100608.png ; $\Delta ^ { 2 } u \equiv \frac { \partial ^ { 4 } u } { \partial x ^ { 4 } } + 2 \frac { \partial ^ { 4 } u } { \partial x ^ { 2 } \partial y ^ { 2 } } + \frac { \partial ^ { 4 } u } { \partial y ^ { 4 } }$ ; confidence 0.993

123. w1200803.png ; $( q , p )$ ; confidence 0.993

124. a13027085.png ; $w \in Y ^ { * }$ ; confidence 0.993

125. g04435078.png ; $\gamma ( F )$ ; confidence 0.993

126. m13008025.png ; $E_{ [ 0 , \sigma ] } A ( f ) \Omega \neq 0$ ; confidence 0.993

127. w12018053.png ; $A \subset \mathcal{R} ^ { 2 }$ ; confidence 0.993

128. f13007018.png ; $F ( 2,4 ) = \pi _ { 1 } ( L ( 5,2 ) )$ ; confidence 0.993

129. c02210018.png ; $( \chi _ { n } ^ { 2 } - n ) / \sqrt { 2 n }$ ; confidence 0.993

130. t120140132.png ; $\phi , \psi \in L ^ { \infty }$ ; confidence 0.993

131. e12006040.png ; $\Gamma : Y \rightarrow J ^ { 1 } Y$ ; confidence 0.993

132. r13008032.png ; $K : H \rightarrow H$ ; confidence 0.993

133. d12028085.png ; $D _ { \epsilon } = \{ z : z \in D , \rho ( z , \partial D ) > \epsilon \}$ ; confidence 0.993

134. m130180165.png ; $\mu ( M )$ ; confidence 0.993

135. w12017011.png ; $Z _ { 2 } ( G )$ ; confidence 0.993

136. w13017050.png ; $k ( e ^ { - i \lambda } ) = \sum _ { j = 0 } ^ { \infty } K _ { j } e ^ { - i \lambda j }$ ; confidence 0.993

137. b12036030.png ; $\epsilon ( i , j , k , l )$ ; confidence 0.993

138. c13025071.png ; $1 \leq 1 \leq p$ ; confidence 0.993

139. m06222050.png ; $n - h - 1 - \nu$ ; confidence 0.993

140. l13008017.png ; $\nu : = \operatorname { min } \{ m , n \}$ ; confidence 0.993

141. h12012048.png ; $\varphi : Z \rightarrow Z$ ; confidence 0.993

142. b12001027.png ; $\frac { \partial u ^ { \prime } ( \xi ^ { \prime } ( \xi , \eta ) , \eta ^ { \prime } ( \xi , \eta ) ) } { \partial \eta ^ { \prime } } =$ ; confidence 0.993

143. e12006035.png ; $J ^ { 1 } Y$ ; confidence 0.993

144. j1300102.png ; $\operatorname { com }( D )$ ; confidence 0.993

145. h13009031.png ; $A = G$ ; confidence 0.993

146. k1200703.png ; $\mathcal{L} ( V )$ ; confidence 0.993

147. e120190196.png ; $\Phi _ { 1 } = ( h _ { 1 } , h _ { 3 } , p , W _ { 1 } ^ { + } )$ ; confidence 0.993

148. e12006017.png ; $A _ { y } \in \Gamma ( y )$ ; confidence 0.993

149. w12019046.png ; $( X \psi ) ( x ) = x \psi ( x )$ ; confidence 0.993

150. a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993

151. a130240286.png ; $1 - \alpha$ ; confidence 0.993

152. a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993

153. b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993

154. c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993

155. h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993

156. h12012026.png ; $f \phi = 0$ ; confidence 0.993

157. w120090399.png ; $L ( \mu )$ ; confidence 0.993

158. w12021059.png ; $B _ { m } = R$ ; confidence 0.993

159. g12005058.png ; $E ( A ) = \frac { 1 } { 2 } \int _ { G } | \nabla A | ^ { 2 } d x + \frac { 1 } { 4 } \int _ { G } ( | A | ^ { 2 } - 1 ) ^ { 2 } d x.$ ; confidence 0.993

160. h04602048.png ; $X _ { 2 } = 0$ ; confidence 0.993

161. w120110234.png ; $H ( X ) \leq 1$ ; confidence 0.993

162. s13049046.png ; $r ( p _ { i } ) = r ( p _ { 0 } ) + i$ ; confidence 0.993

163. s1203001.png ; $\operatorname{Map}_{*}( B _ { G } , X )$ ; confidence 0.993

164. l12009070.png ; $M \times \mathfrak { g } \rightarrow M$ ; confidence 0.993

165. o13008058.png ; $( l _ { 1 } - k ^ { 2 } ) f _ { 1 } = 0$ ; confidence 0.993

166. n067520284.png ; $\rho ( \xi ) = ( E _ { \xi } h _ { 0 } , h _ { 0 } )$ ; confidence 0.993

167. a12031051.png ; $\{ x \in X : f ( x ) \neq 0 \}$ ; confidence 0.993

168. c02111015.png ; $( \alpha , \alpha ^ { \prime } )$ ; confidence 0.993

169. n1200206.png ; $\mathcal{M} ( E )$ ; confidence 0.993

170. l12017068.png ; $1 \leq j , k \leq n$ ; confidence 0.993

171. g12004079.png ; $p ( x , \xi )$ ; confidence 0.993

172. n12002016.png ; $k _ { \mu } = \operatorname { log } L _ { \mu }$ ; confidence 0.993

173. a12008075.png ; $f \in H ^ { 1 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.993

174. a12005094.png ; $\sup_{t \in [0,T]} ||B(t)||_X <\infty$ ; confidence 0.993

175. v13007055.png ; $\operatorname { ln } q ^ { \prime } = \frac { s } { \pi } P \int _ { 0 } ^ { 1 } \frac { \theta ^ { \prime } ( s ^ { \prime } ) d s ^ { \prime } } { s ^ { \prime } ( s ^ { \prime } - s ) }.$ ; confidence 0.993

176. d03311035.png ; $i > j$ ; confidence 0.993

177. z13007050.png ; $SGL_n( \mathbf{Z} A )$ ; confidence 0.993

178. f12023080.png ; $\mathcal{L} _ { K } = \mathcal{L} ( K ) \in \operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.993

179. r1200207.png ; $M ( q ) \ddot { q } + C ( q , \dot { q } ) \dot { q } + g ( q ) + f ( \dot { q } ) = \tau,$ ; confidence 0.993

180. d11008044.png ; $d ( w | v ) = 1$ ; confidence 0.993

181. i13009028.png ; $E _ { 1 } ( k )$ ; confidence 0.993

182. z13003023.png ; $0 < b \leq 1 / 2$ ; confidence 0.993

183. p13012029.png ; $L ( p _ { 1 } , p _ { 2 } , p _ { 3 } )$ ; confidence 0.993

184. c120170132.png ; $M ( n + k )$ ; confidence 0.993

185. d03027032.png ; $= \frac { 1 } { ( p + 1 ) \pi } \int _ { - \pi } ^ { \pi } [ f ( x + t ) \operatorname { sin } \frac { 2 n + 1 - p } { 2 } t \frac { \operatorname { sin } ( p + 1 ) t / 2 } { 2 \operatorname { sin } ^ { 2 } t / 2 } ] d t,$ ; confidence 0.993

186. b11022033.png ; $\varepsilon \, ( M , s )$ ; confidence 0.993

187. p13009044.png ; $\operatorname { lim } _ { x \rightarrow \eta } \mu _ { x } ^ { \Omega } = \delta _ { \eta }$ ; confidence 0.993

188. s1203403.png ; $( L _ { + } , L _ { - } )$ ; confidence 0.993

189. l12017049.png ; $f : K _ { 0 } \rightarrow K _ { 1 }$ ; confidence 0.993

190. a120050108.png ; $\mathcal{L} ( Y ) = \mathcal{L} ( Y , Y )$ ; confidence 0.993

191. v120020139.png ; $\Lambda ( F ) \neq \theta$ ; confidence 0.993

192. c0232706.png ; $A \subseteq B$ ; confidence 0.993

193. q12007055.png ; $g = q ^ { H }$ ; confidence 0.993

194. s12022010.png ; $\Delta ^ { ( p ) }$ ; confidence 0.993

195. s1303908.png ; $\eta ( n ) = n$ ; confidence 0.993

196. a12017022.png ; $\operatorname { lim } _ { t \rightarrow + \infty } \Omega ( t ) = 0$ ; confidence 0.993

197. a110010205.png ; $z \neq 0$ ; confidence 0.993

198. b12021052.png ; $L = L ( \lambda )$ ; confidence 0.993

199. k12008021.png ; $s - 1$ ; confidence 0.993

200. e12007022.png ; $\mathbf{v} ( M _ { 1 } , M _ { 2 } ) = \mathbf{v} ( M _ { 1 } ) \mathbf{v} ( M _ { 2 } ) , M _ { 1 } , M _ { 2 } \in \Gamma.$ ; confidence 0.993

201. c12018082.png ; $E G - F ^ { 2 } > 0$ ; confidence 0.993

202. h13003071.png ; $t ( z ) p ( z ) + q ( z ) v ( z ) = 1$ ; confidence 0.993

203. b11079040.png ; $2 / 3$ ; confidence 0.993

204. r13008023.png ; $K ( x , y ) = \overline { K ( y , x ) } , K ( x , x ) \geq 0,$ ; confidence 0.993

205. a11022082.png ; $j \geq 1$ ; confidence 0.993

206. e12015017.png ; $\xi ^ { i } ( x )$ ; confidence 0.993

207. i12008096.png ; $\chi = ( k _ { B } T ) ^ { - 1 } \operatorname { exp } ( 2 J / k _ { B } T )$ ; confidence 0.993

208. a130040753.png ; $\mathfrak{m} \in \operatorname{Mod} _ { \mathcal{S} _{P \cup R}}( \Sigma ( P , R ) )$ ; confidence 0.993

209. c0225907.png ; $f : Y \rightarrow X$ ; confidence 0.993

210. d12018045.png ; $( X , \mathbf{B} , m )$ ; confidence 0.993

211. s130510111.png ; $\gamma ( v ) = 1$ ; confidence 0.993

212. e12019032.png ; $\{ a , b \} \equiv \{ c , d \}$ ; confidence 0.993

213. b12034061.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } c _ { k } z ^ { k } , \quad | z | < 1,$ ; confidence 0.993

214. l12003034.png ; $\operatorname{Hom}_{ \mathcal{K} } ( H ^ { * } ( Y , \mathbf{F} _ { p } ) , H ^ { * } ( X , \mathbf{F} _ { p } ) )$ ; confidence 0.993

215. c13005047.png ; $\operatorname{Aut}Gamma = G$ ; confidence 0.993

216. q12008010.png ; $\rho = \sum _ { p = 1 } ^ { P } \rho _ { p }$ ; confidence 0.993

217. u13002026.png ; $A = \{ x : f ( x ) \neq 0 \}$ ; confidence 0.993

218. g04435028.png ; $F = F ( x )$ ; confidence 0.993

219. l1200401.png ; $\partial _ { t } u + \partial _ { x } f ( u ) = 0.$ ; confidence 0.993

220. d1203006.png ; $X ( 0 ) = x _ { 0 }$ ; confidence 0.993

221. e13007024.png ; $g ( n ) \overline { h ( n ) }$ ; confidence 0.993

222. s13041054.png ; $\int _ { - 1 } ^ { 1 } \frac { \operatorname { ln } \mu _ { 0 } ^ { \prime } ( x ) } { \sqrt { 1 - x ^ { 2 } } } d x > - \infty.$ ; confidence 0.993

223. p12011036.png ; $f : E ( \vec { G } ) \rightarrow \mathbf{Z} _ { 4 } ^ { * }$ ; confidence 0.993

224. p12017055.png ; $0$ ; confidence 0.993

225. h046010112.png ; $\tau ( W , M _ { 0 } ) = \tau ( W ^ { \prime } , M _ { 0 } )$ ; confidence 0.993

226. b12001025.png ; $\frac { \partial u ^ { \prime } ( \xi ^ { \prime } ( \xi , \eta ) , \eta ^ { \prime } ( \xi , \eta ) ) } { \partial \xi ^ { \prime } } =$ ; confidence 0.993

227. c13004017.png ; $= \sum _ { k = 1 } ^ { \infty } \frac { \operatorname { sin } ( k z ) } { k ^ { 2 } },$ ; confidence 0.993

228. g13003049.png ; $\{ \lambda : u _ { \lambda } \equiv 0 \}$ ; confidence 0.993

229. b12005025.png ; $\mathcal{H} ( U )$ ; confidence 0.993

230. v12004012.png ; $\chi ^ { \prime } ( G ) \leq 3 \Delta ( G ) / 2$ ; confidence 0.993

231. a120070118.png ; $\frac { d u } { d t } = A ( t , u ) u + f ( t , u )$ ; confidence 0.993

232. l12003090.png ; $H ^ { * } B E$ ; confidence 0.993

233. f13029056.png ; $\mathcal{T} ( u )$ ; confidence 0.993

234. b12020041.png ; $\mathcal{M} = \theta H ^ { 2 }$ ; confidence 0.993

235. b13030093.png ; $i \geq 1$ ; confidence 0.993

236. r13004042.png ; $0 = \mu _ { 1 } ( \Omega ) < \mu _ { 2 } ( \Omega ) \leq \mu _ { 3 } ( \Omega ) \leq \dots$ ; confidence 0.993

237. d12012065.png ; $\phi _ { 2 } \circ \phi _ { 1 } = \phi _ { 3 }$ ; confidence 0.993

238. t130140127.png ; $q _ { R } ( v ) > 0$ ; confidence 0.993

239. f1200108.png ; $R : U \rightarrow X$ ; confidence 0.993

240. t12003033.png ; $F _ { K } : \xi + i \eta \rightarrow K \xi + i \eta$ ; confidence 0.993

241. a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993

242. z13003049.png ; $( Z f ) ( t , w ) = - ( Z f ) ( - t , - w ).$ ; confidence 0.993

243. a01201067.png ; $m > 2$ ; confidence 0.993

244. a12010058.png ; $A = - \Delta$ ; confidence 0.993

245. m13026031.png ; $\rho ( x y ) = x \rho ( y )$ ; confidence 0.993

246. m120130113.png ; $p \ll 1$ ; confidence 0.993

247. k055840112.png ; $[ \mathcal{L} _ { + } , \mathcal{L} _ { - } ] = \{ 0 \}$ ; confidence 0.993

248. d12026035.png ; $S _ { n } = \sum _ { k = 1 } ^ { n } \alpha _ { k }$ ; confidence 0.993

249. a0118304.png ; $\alpha , \beta$ ; confidence 0.993

250. a130050279.png ; $G ^ { \# } ( n )$ ; confidence 0.993

251. b120040161.png ; $\epsilon = 0$ ; confidence 0.993

252. s13013032.png ; $e ( F ( 4 ) | F )$ ; confidence 0.993

253. q12001022.png ; $x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } - t ^ { 2 }$ ; confidence 0.993

254. l120100104.png ; $K _ { E } ( V ) = \sqrt { V _ { - } } ( - \Delta + E ) ^ { - 1 } \sqrt { V _ { - } }.$ ; confidence 0.993

255. b01734043.png ; $\Phi ( z )$ ; confidence 0.993

256. a12026066.png ; $u : A \rightarrow A _ { 1 }$ ; confidence 0.993

257. f12015055.png ; $A \in \Phi ( X )$ ; confidence 0.993

258. f12004018.png ; $\varphi ( x , w ) = w ( x )$ ; confidence 0.993

259. v09603018.png ; $1.614 \mu$ ; confidence 0.993

260. w12017017.png ; $\omega _ { \alpha + 1 } ( G ) / \omega _ { \alpha } ( G ) = \omega ( G / \omega _ { \alpha } ( G ) ) , \omega _ { \lambda } ( G ) = \cup _ { \beta < \lambda } \omega _ { \beta } ( G ),$ ; confidence 0.993

261. r13007054.png ; $u _ { j } : = ( u , \varphi _ { j } ) _ { 0 }$ ; confidence 0.993

262. f1300107.png ; $\operatorname { gcd } ( f , \partial f / \partial x )$ ; confidence 0.993

263. s12026037.png ; $( L ^ { 2 } ) ^ { - }$ ; confidence 0.993

264. a12025024.png ; $q \leq 32$ ; confidence 0.993

265. j13002026.png ; $\max p _ { i } \rightarrow 0$ ; confidence 0.993

266. p12014042.png ; $H = S$ ; confidence 0.993

267. s130620149.png ; $q ( x ) = q _ { 1 } ( x ) + q _ { 2 } ( x )$ ; confidence 0.993

268. m13018012.png ; $\mu ( x , y )$ ; confidence 0.992

269. i12005051.png ; $\{ V ( n , \alpha ) \}$ ; confidence 0.992

270. w13017043.png ; $H _ { y } ( t ) = H _ { \epsilon } ( t )$ ; confidence 0.992

271. b13017036.png ; $V _ { t } = C ( t )$ ; confidence 0.992

272. i13006096.png ; $A ( x ) = 2 \Gamma _ { 2 x } ( 2 x , 0 )$ ; confidence 0.992

273. v096900151.png ; $H = \oplus _ { p = 1 } ^ { \infty } L _ { 2 } ( Z _ { \ddot { q } } , \mu , H _ { p } ),$ ; confidence 0.992

274. h04601059.png ; $\tau ( W , M _ { 1 } ) = 0$ ; confidence 0.992

275. a01150069.png ; $p = 0$ ; confidence 0.992

276. a120270129.png ; $s = 1 / 2$ ; confidence 0.992

277. v120020112.png ; $( p , q ) : \Gamma ( F ) \rightarrow X$ ; confidence 0.992

278. d13021030.png ; $\dot { x } ( t - \tau _ { i } )$ ; confidence 0.992

279. c13015072.png ; $C ^ { \infty } ( \Omega )$ ; confidence 0.992

280. b12051031.png ; $\nabla f ( x ^ { * } ) = 0$ ; confidence 0.992

281. s12026025.png ; $\Gamma ( L ^ { 2 } ( \mathbf{R} ) )$ ; confidence 0.992

282. d12028013.png ; $U \supset K$ ; confidence 0.992

283. w12002031.png ; $I_2$ ; confidence 0.992

284. m13025029.png ; $f \in C ^ { \infty } ( \Omega )$ ; confidence 0.992

285. i1200908.png ; $( M ^ { 2 n + 1 } , \xi )$ ; confidence 0.992

286. a01029037.png ; $D _ { A }$ ; confidence 0.992

287. c120170105.png ; $N = \{ p : ( p , p ) _ { M } = 0 \}$ ; confidence 0.992

288. m130260167.png ; $\alpha : P \rightarrow B$ ; confidence 0.992

289. m1301806.png ; $\mu ( x , y ) = 0$ ; confidence 0.992

290. m130230116.png ; $( ( X ^ { \prime } , B ^ { \prime } ) , f ^ { \prime } )$ ; confidence 0.992

291. m13026092.png ; $X \subset M ( A )$ ; confidence 0.992

292. h04602070.png ; $H _ { \infty }$ ; confidence 0.992

293. h04756054.png ; $f : M \rightarrow M ^ { \prime }$ ; confidence 0.992

294. r130070103.png ; $\| f _ { n } - f \| _ { 1 } \rightarrow 0$ ; confidence 0.992

295. m13023028.png ; $\overline { N E } ( X / S )$ ; confidence 0.992

296. h13003059.png ; $r ( z ) = \sum _ { i = 1 } ^ { 2 n - 1 } s _ { i } z ^ { - i }$ ; confidence 0.992

297. c12030035.png ; $n = \operatorname { dim } ( \mathcal{H} ) \geq 2$ ; confidence 0.992

298. s12022073.png ; $\operatorname { det } ( \Delta + z )$ ; confidence 0.992

299. p12013027.png ; $\theta \in S$ ; confidence 0.992

300. m13023052.png ; $N _ { 1 } ( X / S )$ ; confidence 0.992

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/14. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/14&oldid=44896