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(AUTOMATIC EDIT of page 5 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(One intermediate revision by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
+
8. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997
  
10. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a11044012.png ; $f _ { 1 }$ ; confidence 0.997
  
11. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997
  
12. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997
  
13. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
+
13. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997
  
14. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600100.png ; $O _ { k }$ ; confidence 0.997
  
15. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997
  
16. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997
  
17. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180149.png ; $n > 2$ ; confidence 0.997
  
18. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997
  
19. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417057.png ; $K ( \Gamma )$ ; confidence 0.997
  
20. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
+
20. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852020.png ; $0 \leq i < m$ ; confidence 0.997
  
21. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997
  
22. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
+
22. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266044.png ; $0 \leq t < 1$ ; confidence 0.997
  
24. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
+
24. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997
  
25. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
+
25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830193.png ; $p + q - n$ ; confidence 0.997
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997
  
27. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
+
27. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033018.png ; $b = 100$ ; confidence 0.997
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110270/a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b11104014.png ; $p = 3$ ; confidence 0.997
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007014.png ; $U \subseteq G / B$ ; confidence 0.997
  
40. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018083.png ; $t = 1$ ; confidence 0.997
  
41. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380159.png ; $x + y = y + x$ ; confidence 0.997
  
42. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200808.png ; $c ( x ) > 0$ ; confidence 0.997
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997
  
44. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a1302203.png ; $Z ( R )$ ; confidence 0.997
  
45. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000105.png ; $A ( E )$ ; confidence 0.997
  
46. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997
  
47. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
+
47. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997
  
48. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997
  
49. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997
  
51. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068031.png ; $k = 3$ ; confidence 0.997
  
52. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997
  
53. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160033.png ; $6 = 2.3$ ; confidence 0.997
  
55. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010066.png ; $- \Delta$ ; confidence 0.997
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984
+
57. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984
+
58. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997
  
61. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240344.png ; $1 \times p$ ; confidence 0.997
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480119.png ; $p - m q$ ; confidence 0.997
  
66. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
+
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997
  
68. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997
  
69. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997
  
70. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997
  
71. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997
  
72. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997
  
73. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997
  
74. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240489.png ; $s = k + 1$ ; confidence 0.997
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997
  
76. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302407.png ; $( m \times 1 )$ ; confidence 0.997
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037055.png ; $k > 1$ ; confidence 0.997
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160094.png ; $K = k ( \theta )$ ; confidence 0.997
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820106.png ; $A \leq B$ ; confidence 0.997
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002035.png ; $C E$ ; confidence 0.982
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001092.png ; $A \delta x = r$ ; confidence 0.982
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
+
82. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872075.png ; $( L , \pi )$ ; confidence 0.997
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861013.png ; $\square ^ { t }$ ; confidence 0.997
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007098.png ; $n ^ { 0 }$ ; confidence 0.997
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165403.png ; $U ( G )$ ; confidence 0.997
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472095.png ; $y = \gamma x$ ; confidence 0.997
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997
  
88. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997
  
89. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997
  
90. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997
  
91. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997
  
92. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997
  
93. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997
  
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
  
95. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010021.png ; $C ( X )$ ; confidence 0.981
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
  
110. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997
  
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024540/c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997
  
113. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997
  
114. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572060.png ; $x - y \in U$ ; confidence 0.997
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997
  
116. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997
  
117. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
+
117. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130020/d13002017.png ; $0 \leq k < 1$ ; confidence 0.997
  
118. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $f t = g t$ ; confidence 0.997
  
119. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
+
119. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997
  
120. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
  
121. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997
  
122. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997
  
123. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
+
123. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997
  
125. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
+
125. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997
  
126. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
+
126. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $A + 2$ ; confidence 0.997
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
+
127. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
+
129. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980
+
130. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980
+
131. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
+
132. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980
+
133. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980
+
134. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
+
135. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
+
136. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
+
137. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
138. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
139. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
+
139. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
+
140. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
141. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
+
141. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
142. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
143. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
+
143. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997
  
144. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
+
144. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
+
145. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055100/k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997
  
146. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
+
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997
  
147. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
+
147. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055340/k0553405.png ; $K _ { \mu }$ ; confidence 0.997
  
148. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
+
148. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997
  
149. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
+
149. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997
  
150. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997
  
151. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997
  
152. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
+
152. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $p \in P \backslash N$ ; confidence 0.997
  
153. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
  
154. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
  
155. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050236.png ; $q > 1$ ; confidence 0.980
+
157. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980
+
158. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980
+
160. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
+
164. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
+
165. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997
  
166. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997
  
167. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
+
167. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997
  
168. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
+
168. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997
  
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
+
169. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997
  
170. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
+
170. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
  
171. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
+
171. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997
  
172. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
+
172. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097310/w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997
  
173. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
+
173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997
  
174. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
+
174. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997
  
175. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
+
175. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098040/w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997
  
176. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
+
176. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005046.png ; $I = ( f )$ ; confidence 0.997
  
177. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
+
177. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002043.png ; $1.609$ ; confidence 0.997
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015023.png ; $\alpha ( S )$ ; confidence 0.997
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979
+
180. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120313.png ; $E = G$ ; confidence 0.997
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
+
181. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l0584708.png ; $0 \leq i < n$ ; confidence 0.997
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997
  
183. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
+
183. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
+
185. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007038.png ; $( X ) < \infty$ ; confidence 0.997
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
+
187. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200403.png ; $D ( A )$ ; confidence 0.997
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997
  
190. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997
  
191. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997
  
193. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008054.png ; $A ( t )$ ; confidence 0.997
  
194. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997
  
195. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010291.png ; $G ( A )$ ; confidence 0.997
  
196. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997
  
197. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240503.png ; $j = 1,2,3$ ; confidence 0.997
  
198. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010272.png ; $B = A ^ { T }$ ; confidence 0.997
  
200. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997
  
201. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
+
203. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040176.png ; $\{ a , b \}$ ; confidence 0.977
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769094.png ; $\Gamma \subset G$ ; confidence 0.997
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419020.png ; $\phi ( t )$ ; confidence 0.997
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997
  
213. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997
  
214. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977
+
214. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997
  
215. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997
  
216. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997
  
218. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997
  
219. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997
  
220. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450158.png ; $g < 11$ ; confidence 0.997
  
221. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038042.png ; $\approx 0$ ; confidence 0.997
  
222. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020090.png ; $P ( T ) \in J$ ; confidence 0.997
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008015.png ; $x = 0$ ; confidence 0.997
  
224. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
+
224. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
+
225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001029.png ; $U \subset X / G$ ; confidence 0.997
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820210.png ; $F ( X , Y )$ ; confidence 0.997
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997
  
230. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997
  
231. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997
  
232. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
+
232. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997
  
233. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997
  
234. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
+
234. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997
  
235. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001019.png ; $\delta A$ ; confidence 0.997
  
236. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997
  
238. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997
  
239. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997
  
240. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120486.png ; $( F , \tau )$ ; confidence 0.997
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997
  
243. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997
  
244. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
+
244. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997
  
245. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004061.png ; $h ( \varphi )$ ; confidence 0.976
+
246. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830393.png ; $A = 0$ ; confidence 0.997
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
+
248. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005028.png ; $f \in C ( [ 0 , T ] ; D ( A ( 0 ) )$ ; confidence 0.975
+
250. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001039.png ; $k ( A ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \frac { 1 } { \epsilon } \frac { \| \delta x \| } { \| x \| }$ ; confidence 0.975
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022091.png ; $p = 4$ ; confidence 0.997
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008019.png ; $\omega ^ { 2 } = c ^ { 2 } ( \xi ^ { 2 } + \eta ^ { 2 } )$ ; confidence 0.975
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040270/f04027014.png ; $| G | = m n$ ; confidence 0.997
  
254. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019046.png ; $X = R ^ { n }$ ; confidence 0.975
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997
  
255. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997
  
256. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997
  
257. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160173.png ; $E$ ; confidence 0.975
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997
  
258. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997
  
259. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s09191051.png ; $\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.975
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010290.png ; $F ( A )$ ; confidence 0.975
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021041.png ; $( B _ { i j } )$ ; confidence 0.997
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021021.png ; $( \omega , \pi ) = \int \int _ { S } \omega ^ { * } \overline { \pi }$ ; confidence 0.974
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974
+
262. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013043.png ; $F _ { j k }$ ; confidence 0.974
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997
  
264. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
265. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997
  
267. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450251.png ; $g > 2$ ; confidence 0.997
  
268. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997
  
269. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210108.png ; $j = 1,2,3$ ; confidence 0.997
  
270. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
+
270. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476904.png ; $G \times M$ ; confidence 0.996
  
271. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996
  
272. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
+
273. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
+
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040117.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { D } T )$ ; confidence 0.973
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062170/m06217010.png ; $Z ( A )$ ; confidence 0.996
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043012.png ; $\xi ^ { * } ( t )$ ; confidence 0.973
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
278. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996
  
280. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
280. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996
  
281. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996
  
282. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996
  
283. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996
  
284. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996
  
285. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996
  
286. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996
  
287. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996
  
288. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590279.png ; $z \in D \backslash P$ ; confidence 0.996
  
289. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996
  
290. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015060.png ; $G = U ( n )$ ; confidence 0.996
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006016.png ; $\omega \mapsto ( \omega , \omega )$ ; confidence 0.973
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996
  
292. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040223.png ; $K _ { A } = A / ( - 1 ) _ { A }$ ; confidence 0.972
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996
  
294. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046031.png ; $A , \chi , \eta$ ; confidence 0.996
  
295. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a0111006.png ; $A \times A$ ; confidence 0.996
  
296. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996
  
298. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996
  
299. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996
  
300. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

Latest revision as of 09:58, 17 October 2019

List

1. a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998

2. a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998

3. a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998

4. a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998

5. a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997

6. a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997

7. a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997

8. n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997

9. p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997

10. a11044012.png ; $f _ { 1 }$ ; confidence 0.997

11. a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997

12. a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997

13. j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997

14. a011600100.png ; $O _ { k }$ ; confidence 0.997

15. a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997

16. a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997

17. a130180149.png ; $n > 2$ ; confidence 0.997

18. a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997

19. a01417057.png ; $K ( \Gamma )$ ; confidence 0.997

20. l05852020.png ; $0 \leq i < m$ ; confidence 0.997

21. a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997

22. r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997

23. c02266044.png ; $0 \leq t < 1$ ; confidence 0.997

24. u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997

25. d031830193.png ; $p + q - n$ ; confidence 0.997

26. a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997

27. e110070172.png ; $\alpha = - 1$ ; confidence 0.997

28. a11033018.png ; $b = 100$ ; confidence 0.997

29. a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997

30. a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997

31. a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997

32. a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997

33. b11104014.png ; $p = 3$ ; confidence 0.997

34. a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997

35. a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997

36. a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997

37. a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997

38. a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997

39. k11007014.png ; $U \subseteq G / B$ ; confidence 0.997

40. a12018083.png ; $t = 1$ ; confidence 0.997

41. a011380159.png ; $x + y = y + x$ ; confidence 0.997

42. a1200808.png ; $c ( x ) > 0$ ; confidence 0.997

43. a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997

44. a1302203.png ; $Z ( R )$ ; confidence 0.997

45. a013000105.png ; $A ( E )$ ; confidence 0.997

46. h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997

47. s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997

48. a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997

49. a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997

50. a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997

51. a01068031.png ; $k = 3$ ; confidence 0.997

52. l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997

53. l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997

54. a01160033.png ; $6 = 2.3$ ; confidence 0.997

55. a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997

56. a12010066.png ; $- \Delta$ ; confidence 0.997

57. s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997

58. d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997

59. w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997

60. a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997

61. a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997

62. a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997

63. a130240344.png ; $1 \times p$ ; confidence 0.997

64. a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997

65. a011480119.png ; $p - m q$ ; confidence 0.997

66. a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997

67. d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997

68. s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997

69. a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997

70. a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997

71. f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997

72. a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997

73. l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997

74. a130240489.png ; $s = k + 1$ ; confidence 0.997

75. d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997

76. a1302407.png ; $( m \times 1 )$ ; confidence 0.997

77. a11037055.png ; $k > 1$ ; confidence 0.997

78. a01160094.png ; $K = k ( \theta )$ ; confidence 0.997

79. a011820106.png ; $A \leq B$ ; confidence 0.997

80. a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997

81. a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997

82. l05872075.png ; $( L , \pi )$ ; confidence 0.997

83. l05861013.png ; $\square ^ { t }$ ; confidence 0.997

84. a13007098.png ; $n ^ { 0 }$ ; confidence 0.997

85. b0165403.png ; $U ( G )$ ; confidence 0.997

86. p07472095.png ; $y = \gamma x$ ; confidence 0.997

87. a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997

88. a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997

89. a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997

90. a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997

91. a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997

92. a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997

93. s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997

94. t12001021.png ; $m = 4 n + 3$ ; confidence 0.997

95. t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997

96. t120010110.png ; $k > 7$ ; confidence 0.997

97. a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997

98. a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997

99. a11001016.png ; $x + \delta x$ ; confidence 0.997

100. a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997

101. a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997

102. a01169071.png ; $L _ { \Omega }$ ; confidence 0.997

103. a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997

104. a01357020.png ; $g ( u ) d u$ ; confidence 0.997

105. b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997

106. b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997

107. b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997

108. c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997

109. c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997

110. c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997

111. c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997

112. c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997

113. c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997

114. c02572060.png ; $x - y \in U$ ; confidence 0.997

115. c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997

116. c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997

117. d13002017.png ; $0 \leq k < 1$ ; confidence 0.997

118. d03128077.png ; $f t = g t$ ; confidence 0.997

119. d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997

120. d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997

121. d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997

122. d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997

123. d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997

124. e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997

125. e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997

126. e03677085.png ; $A + 2$ ; confidence 0.997

127. f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997

128. f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997

129. f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997

130. f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997

131. f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997

132. f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997

133. f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997

134. f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997

135. g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997

136. g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997

137. g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997

138. h04769040.png ; $g x = y$ ; confidence 0.997

139. h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997

140. h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997

141. h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997

142. h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997

143. i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997

144. i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997

145. k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997

146. k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997

147. k0553405.png ; $K _ { \mu }$ ; confidence 0.997

148. l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997

149. l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997

150. m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997

151. m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997

152. m063460143.png ; $p \in P \backslash N$ ; confidence 0.997

153. m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997

154. m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997

155. m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997

156. p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997

157. q13004038.png ; $K > 1$ ; confidence 0.997

158. r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997

159. r08199034.png ; $D \cup \gamma$ ; confidence 0.997

160. r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997

161. s08317053.png ; $m _ { i } = 0$ ; confidence 0.997

162. s08645013.png ; $A _ { \delta }$ ; confidence 0.997

163. s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997

164. s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997

165. s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997

166. s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997

167. t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997

168. t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997

169. t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997

170. v0960408.png ; $s ( r )$ ; confidence 0.997

171. v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997

172. w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997

173. w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997

174. w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997

175. w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997

176. z13005046.png ; $I = ( f )$ ; confidence 0.997

177. z12002043.png ; $1.609$ ; confidence 0.997

178. s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997

179. a11015023.png ; $\alpha ( S )$ ; confidence 0.997

180. d034120313.png ; $E = G$ ; confidence 0.997

181. l0584708.png ; $0 \leq i < n$ ; confidence 0.997

182. a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997

183. d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997

184. a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997

185. i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997

186. a11007038.png ; $( X ) < \infty$ ; confidence 0.997

187. n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997

188. a1200403.png ; $D ( A )$ ; confidence 0.997

189. r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997

190. a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997

191. s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997

192. a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997

193. a12008054.png ; $A ( t )$ ; confidence 0.997

194. d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997

195. a110010291.png ; $G ( A )$ ; confidence 0.997

196. a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997

197. a130240503.png ; $j = 1,2,3$ ; confidence 0.997

198. a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997

199. a110010272.png ; $B = A ^ { T }$ ; confidence 0.997

200. a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997

201. d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997

202. a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997

203. l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997

204. h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997

205. w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997

206. h04769094.png ; $\Gamma \subset G$ ; confidence 0.997

207. a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997

208. d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997

209. a01419020.png ; $\phi ( t )$ ; confidence 0.997

210. l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997

211. a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997

212. a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997

213. a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997

214. k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997

215. a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997

216. a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997

217. a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997

218. a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997

219. l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997

220. a011450158.png ; $g < 11$ ; confidence 0.997

221. a11038042.png ; $\approx 0$ ; confidence 0.997

222. a12020090.png ; $P ( T ) \in J$ ; confidence 0.997

223. a11008015.png ; $x = 0$ ; confidence 0.997

224. j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997

225. o07001029.png ; $U \subset X / G$ ; confidence 0.997

226. a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997

227. f040820210.png ; $F ( X , Y )$ ; confidence 0.997

228. a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997

229. a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997

230. f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997

231. a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997

232. w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997

233. c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997

234. k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997

235. a11001019.png ; $\delta A$ ; confidence 0.997

236. b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997

237. a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997

238. a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997

239. d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997

240. d034120486.png ; $( F , \tau )$ ; confidence 0.997

241. p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997

242. a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997

243. a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997

244. d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997

245. a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997

246. d031830393.png ; $A = 0$ ; confidence 0.997

247. b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997

248. l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997

249. a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997

250. r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997

251. a01022091.png ; $p = 4$ ; confidence 0.997

252. a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997

253. f04027014.png ; $| G | = m n$ ; confidence 0.997

254. a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997

255. a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997

256. m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997

257. a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997

258. a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997

259. d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997

260. a01021041.png ; $( B _ { i j } )$ ; confidence 0.997

261. a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997

262. g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997

263. s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997

264. a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997

265. l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997

266. a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997

267. a011450251.png ; $g > 2$ ; confidence 0.997

268. a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997

269. a011210108.png ; $j = 1,2,3$ ; confidence 0.997

270. h0476904.png ; $G \times M$ ; confidence 0.996

271. a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996

272. a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996

273. k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996

274. a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996

275. f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996

276. m06217010.png ; $Z ( A )$ ; confidence 0.996

277. a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996

278. o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996

279. a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996

280. h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996

281. a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996

282. l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996

283. a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996

284. a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996

285. a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996

286. a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996

287. a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996

288. s085590279.png ; $z \in D \backslash P$ ; confidence 0.996

289. a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996

290. a12015060.png ; $G = U ( n )$ ; confidence 0.996

291. a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996

292. a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996

293. a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996

294. a11046031.png ; $A , \chi , \eta$ ; confidence 0.996

295. a0111006.png ; $A \times A$ ; confidence 0.996

296. a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996

297. l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996

298. a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996

299. a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996

300. a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/5&oldid=43895