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(AUTOMATIC EDIT of page 2 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 2 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
+
1. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017580/b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240194.png ; $8$ ; confidence 0.593
+
2. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584
+
3. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240343.png ; $2$ ; confidence 0.473
+
4. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024029.png ; $1$ ; confidence 0.458
+
5. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
+
6. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890110.png ; $\psi = \psi ( s )$ ; confidence 0.998
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159
+
7. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620209.png ; $B G$ ; confidence 0.998
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
+
8. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165011.png ; $t _ { k } \in R ^ { 1 }$ ; confidence 0.998
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024039.png ; $p \times p$ ; confidence 0.711
+
9. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240383.png ; $H ^ { \prime }$ ; confidence 0.219
+
10. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660300.png ; $K ( f )$ ; confidence 0.998
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
11. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266075.png ; $\mu ( E ) = \mu _ { 1 } ( E ) = 0$ ; confidence 0.998
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917
+
12. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780177.png ; $( n )$ ; confidence 0.998
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
+
13. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022920/c02292048.png ; $V _ { 3 }$ ; confidence 0.998
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
14. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583071.png ; $i B _ { 0 }$ ; confidence 0.998
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
+
15. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010417.png ; $\rho < 1$ ; confidence 0.998
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240348.png ; $( r - q ) \times p$ ; confidence 1.000
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027170/c02717082.png ; $q = 59$ ; confidence 0.998
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
17. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480
+
18. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191048.png ; $x _ { 2 } ( t )$ ; confidence 0.998
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
+
19. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191051.png ; $x _ { 1 } ( t _ { 0 } ) = x _ { 2 } ( t _ { 0 } )$ ; confidence 0.998
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996
+
20. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192079.png ; $0 < l < n$ ; confidence 0.998
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240373.png ; $z _ { 1 }$ ; confidence 0.669
+
21. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201093.png ; $n - m$ ; confidence 0.998
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
+
22. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292042.png ; $\sigma > h$ ; confidence 0.998
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240244.png ; $= \operatorname { sin } \gamma q$ ; confidence 0.055
+
23. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372050.png ; $\gamma _ { k } < \sigma < 1$ ; confidence 0.998
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492
+
24. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399055.png ; $y ^ { \prime } ( b ) + v ( b ) y ( b ) = \gamma ( b )$ ; confidence 0.998
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240424.png ; $( 1 \times p )$ ; confidence 1.000
+
25. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e1300407.png ; $U _ { 0 } ( t )$ ; confidence 0.998
  
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $B$ ; confidence 0.738
+
26. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026092.png ; $( L _ { \mu } ) ^ { p }$ ; confidence 0.998
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
27. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037160/e03716049.png ; $\Delta J =$ ; confidence 0.998
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
28. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038130/f0381302.png ; $G _ { i } = V _ { i } ( E + \Delta - V _ { i } ) ^ { - 1 }$ ; confidence 0.998
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240142.png ; $m \times 1$ ; confidence 0.995
+
29. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040190/f04019037.png ; $V ( x _ { 0 } )$ ; confidence 0.998
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
+
30. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040330/f04033018.png ; $f ^ { - 1 } ( f ( x ) ) \cap U$ ; confidence 0.998
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240254.png ; $6$ ; confidence 0.612
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069087.png ; $\{ \xi _ { f } : f \in H \}$ ; confidence 0.998
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $K = D$ ; confidence 0.998
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240289.png ; $\hat { \psi } \pm S \cdot \hat { \sigma } \hat { \psi }$ ; confidence 0.134
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
+
34. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $d f ( X )$ ; confidence 0.998
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+
35. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+
36. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
+
37. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
+
38. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240515.png ; $Z _ { 0 } = Z _ { 12 } - Z _ { 13 } R$ ; confidence 0.674
+
39. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004046.png ; $\partial D \times D$ ; confidence 0.998
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
+
40. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054090/j05409038.png ; $x = B x + g$ ; confidence 0.998
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
41. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054200/j05420048.png ; $f _ { 0 } ( \Delta )$ ; confidence 0.998
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
+
42. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040145.png ; $M ^ { ( 2 ) }$ ; confidence 0.998
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024019.png ; $y$ ; confidence 0.478
+
43. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055040/k05504059.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 4 } + x _ { 2 } ^ { 4 } + x _ { 3 } ^ { 4 } = 0$ ; confidence 0.998
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
+
44. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019069.png ; $P = Q$ ; confidence 0.998
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
+
45. https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010135.png ; $p : X \rightarrow S$ ; confidence 0.998
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240353.png ; $E ( Z _ { 3 } ) = 0$ ; confidence 0.631
+
46. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l0570007.png ; $( M N ) \in \Lambda$ ; confidence 0.998
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240109.png ; $( \alpha , \beta , \gamma ) ^ { \prime } = \beta$ ; confidence 1.000
+
47. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058210/l05821012.png ; $- \operatorname { log } | \zeta |$ ; confidence 0.998
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
+
48. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058210/l05821045.png ; $0 < r < \operatorname { tanh } \pi / 4$ ; confidence 0.998
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240493.png ; $( 1 , t _ { j } , \ldots , t _ { j } ^ { k } ) ^ { \prime }$ ; confidence 0.604
+
49. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
+
50. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059170/l059170161.png ; $H ^ { k }$ ; confidence 0.998
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251
+
51. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935092.png ; $Y ( t ) = X ( t ) C$ ; confidence 0.998
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240423.png ; $q \times 1$ ; confidence 1.000
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060190/l06019071.png ; $d ( A )$ ; confidence 0.998
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060250/l06025052.png ; $m = n = 1$ ; confidence 0.998
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
54. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m1200304.png ; $f _ { \theta } ( x )$ ; confidence 0.998
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
55. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m06392082.png ; $n \geq 9$ ; confidence 0.998
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240362.png ; $22$ ; confidence 0.710
+
56. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690064.png ; $G \rightarrow A$ ; confidence 0.998
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
57. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067760/n06776016.png ; $N ( A ^ { * } ) = \{ 0 \}$ ; confidence 0.998
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
+
58. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068350/o068350148.png ; $\phi \in D ( A )$ ; confidence 0.998
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
+
59. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072300/p0723004.png ; $F ( H )$ ; confidence 0.998
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
60. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p072830109.png ; $\sigma _ { i j } ( t )$ ; confidence 0.998
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
+
61. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240231.png ; $a$ ; confidence 0.607
+
62. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075150/p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
+
63. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014049.png ; $\gamma \in R$ ; confidence 0.998
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
+
64. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
65. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240375.png ; $( n - r ) F$ ; confidence 1.000
+
66. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
+
67. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081150/r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
+
68. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081420/r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
+
69. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082080/r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467
+
70. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082690/r08269033.png ; $| \chi | < \pi$ ; confidence 0.998
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010186.png ; $A + \delta A$ ; confidence 0.999
+
71. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010124.png ; $A A ^ { + } A = A$ ; confidence 0.999
+
72. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086360/s086360102.png ; $B ( r ) = \int _ { 0 } ^ { \infty } J _ { 0 } ( \lambda r ) d F ( \lambda )$ ; confidence 0.998
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
73. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086380/s0863808.png ; $s _ { 1 } - t _ { 1 } = s _ { 2 } - t _ { 2 }$ ; confidence 0.998
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
+
74. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s1202804.png ; $\overline { f } : X \rightarrow Y$ ; confidence 0.998
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
+
75. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090088.png ; $\xi = \infty \in \partial D$ ; confidence 0.998
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
+
76. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005033.png ; $D _ { A } ^ { 2 } = 0$ ; confidence 0.998
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499
+
77. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009023.png ; $f ^ { - 1 } ( S )$ ; confidence 0.998
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010217.png ; $1 / | y ^ { i } _ { x ^ { i } } ^ { * }$ ; confidence 0.245
+
78. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326078.png ; $d = 6$ ; confidence 0.998
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
+
79. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326038.png ; $( X ) \in M$ ; confidence 0.998
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
+
80. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200142.png ; $m > - 1$ ; confidence 0.998
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440
+
81. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544020.png ; $U ( \epsilon )$ ; confidence 0.998
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
+
82. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020116.png ; $f ( z ) \in K$ ; confidence 0.998
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
+
83. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020147.png ; $( f ) \subseteq V ( f )$ ; confidence 0.998
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505
+
84. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080124.png ; $T _ { 1 } \sim \Lambda$ ; confidence 0.998
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
+
85. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099030/y099030101.png ; $\pi _ { 1 } : P _ { 1 } \rightarrow S ^ { 4 }$ ; confidence 0.998
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588
+
87. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439
+
88. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013097.png ; $L ( \psi ) = z \psi$ ; confidence 0.998
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420121.png ; $y \leq x$ ; confidence 0.998
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
+
91. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001078.png ; $1$ ; confidence 0.998
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022035.png ; $r ( S ) \leq r ( T )$ ; confidence 0.998
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $p | D _ { i }$ ; confidence 0.587
+
93. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040170.png ; $A$ ; confidence 0.998
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
+
102. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006029.png ; $B _ { j } \in B$ ; confidence 0.414
+
103. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998
+
104. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004067.png ; $\psi \in \Gamma$ ; confidence 1.000
+
105. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
+
106. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040397.png ; $\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$ ; confidence 0.117
+
107. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024540/c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572060.png ; $x - y \in U$ ; confidence 0.997
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
+
113. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130020/d13002017.png ; $0 \leq k < 1$ ; confidence 0.997
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
+
114. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $f t = g t$ ; confidence 0.997
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
+
115. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $M$ ; confidence 0.455
+
116. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
117. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200608.png ; $c ( x )$ ; confidence 0.998
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472
+
119. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
120. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070121.png ; $n \equiv a ( \operatorname { mod } b )$ ; confidence 0.605
+
121. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
+
122. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $A + 2$ ; confidence 0.997
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
+
123. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $< 1$ ; confidence 0.999
+
124. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
+
125. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
+
126. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
+
127. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
+
129. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
+
130. 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
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
+
131. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220101.png ; $R ( f )$ ; confidence 1.000
+
132. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
+
133. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
+
134. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
+
135. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
+
136. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
+
137. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689
+
139. 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
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
+
140. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
+
141. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055100/k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
+
142. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
+
143. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055340/k0553405.png ; $K _ { \mu }$ ; confidence 0.997
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033016.png ; $N p$ ; confidence 0.998
+
144. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
+
145. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
+
146. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
+
147. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
+
148. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $p \in P \backslash N$ ; confidence 0.997
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a11036013.png ; $n > 1$ ; confidence 0.998
+
149. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071024.png ; $A = A _ { 1 } \cap \ldots \cap A _ { n }$ ; confidence 0.254
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $\approx 3$ ; confidence 0.590
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $\sim 2$ ; confidence 0.512
+
152. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415
+
153. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438
+
154. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
+
156. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
+
157. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082073.png ; $X \in Ob \odot$ ; confidence 0.251
+
158. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425
+
159. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
+
160. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
163. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
+
164. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662
+
165. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105018.png ; $f \times ( O _ { X } )$ ; confidence 0.620
+
166. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017016.png ; $b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$ ; confidence 0.998
+
167. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112107.png ; $\operatorname { Ai } ( x )$ ; confidence 0.619
+
168. 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
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701
+
169. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018084.png ; $10 ^ { 16 }$ ; confidence 1.000
+
170. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $\gamma m$ ; confidence 0.719
+
171. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098040/w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
+
172. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005046.png ; $I = ( f )$ ; confidence 0.997
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
+
173. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002043.png ; $1.609$ ; confidence 0.997
  
174. 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
+
174. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139015.png ; $\mu _ { f } ( E ) = \int _ { E } f d x$ ; confidence 0.622
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997
  
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146020.png ; $( 2 n - 2 p )$ ; confidence 1.000
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460108.png ; $x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$ ; confidence 0.669
+
180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001056.png ; $F _ { 3 }$ ; confidence 0.996
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146029.png ; $p = n - 1$ ; confidence 0.999
+
181. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010107.png ; $n \geq 0$ ; confidence 0.996
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149058.png ; $D ( x _ { 0 } ) = 0$ ; confidence 0.998
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150079.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$ ; confidence 0.999
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
+
185. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
+
187. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021520/c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
+
190. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660241.png ; $C = C ( f )$ ; confidence 0.996
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $N _ { 0 }$ ; confidence 0.151
+
191. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140162.png ; $X \in V ( B )$ ; confidence 0.996
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
+
192. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
+
193. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996
  
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
+
196. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708
+
197. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038060/f03806015.png ; $V$ ; confidence 0.996
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
198. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
+
199. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $I V _ { 2 }$ ; confidence 0.996
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
+
200. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
+
201. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
202. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996
  
203. 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
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $D$ ; confidence 0.996
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
+
204. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
+
205. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
206. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k05503063.png ; $T ( X )$ ; confidence 0.996
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
+
207. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059710/l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $M \times N$ ; confidence 0.757
+
208. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062330/m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197046.png ; $U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$ ; confidence 0.179
+
209. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
+
210. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
+
211. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063370/m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601
+
212. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
+
213. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m06470068.png ; $\partial V _ { t }$ ; confidence 0.996
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
+
214. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663062.png ; $0 < r - s < k$ ; confidence 0.996
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287
+
215. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074070/p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
+
216. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516
+
217. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076670/q07667033.png ; $R [ x ]$ ; confidence 0.996
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $X \subset Y$ ; confidence 0.590
+
218. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
219. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
+
220. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209097.png ; $Z ( A ) = A \cap Z ( R )$ ; confidence 0.998
+
221. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720109.png ; $K ( d s ) = K$ ; confidence 0.996
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
+
222. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212040.png ; $\alpha _ { i } + 1$ ; confidence 0.659
+
223. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
+
224. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095820/u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
225. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023068.png ; $c _ { q }$ ; confidence 0.425
+
226. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
+
227. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096740/v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012210/a01221035.png ; $f ( t ) = \psi ( \phi ( t ) )$ ; confidence 0.999
+
228. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225011.png ; $R > 0$ ; confidence 1.000
+
229. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008076.png ; $N = 2$ ; confidence 0.996
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $x <$ ; confidence 0.424
+
230. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234035.png ; $a \in V$ ; confidence 0.699
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013024.png ; $g ( z )$ ; confidence 0.996
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
+
233. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
+
235. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995
  
236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $I Y \subset O$ ; confidence 0.739
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240142.png ; $m \times 1$ ; confidence 0.995
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460130.png ; $X \equiv 0$ ; confidence 0.220
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110600/a11060013.png ; $0.96$ ; confidence 1.000
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
+
242. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012800/a01280065.png ; $\times \frac { \partial ^ { m + n } } { \partial x ^ { m } \partial y ^ { n } } [ x ^ { \gamma + m - 1 } y ^ { \prime } + n - 1 _ { ( 1 - x - y ) } \alpha + w + n - \gamma - \gamma ^ { \prime } ]$ ; confidence 0.072
+
243. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607
+
244. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338015.png ; $\phi \in \Phi$ ; confidence 0.995
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294080.png ; $F _ { b }$ ; confidence 0.450
+
245. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024450/c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950197.png ; $( L _ { 2 } )$ ; confidence 0.999
+
247. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012960/a01296094.png ; $n > r$ ; confidence 0.999
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024790/c02479065.png ; $f ( \zeta )$ ; confidence 0.995
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199
+
249. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025650/c02565066.png ; $D \subset R$ ; confidence 0.995
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
+
250. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
+
251. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031100/d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970196.png ; $m \geq r$ ; confidence 0.999
+
252. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380332.png ; $E = N$ ; confidence 0.995
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a01297077.png ; $\operatorname { inf } _ { u \in \mathfrak { N } } \| x - u \| = \operatorname { sup } _ { F \in X ^ { * } } [ F ( x ) - \operatorname { sup } _ { u \in \mathfrak { N } } F ( u ) ]$ ; confidence 0.144
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970244.png ; $L ( f )$ ; confidence 0.998
+
254. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994
+
255. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $X = H$ ; confidence 0.599
+
256. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
+
257. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
+
258. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052230/i0522303.png ; $x \leq z \leq y$ ; confidence 0.995
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996
+
259. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052730/i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a01301081.png ; $D ^ { 0 } f = f$ ; confidence 0.998
+
260. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
+
261. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013030/a01303027.png ; $\operatorname { sup } _ { x \in \mathfrak { M } } \| x - A x \|$ ; confidence 0.679
+
262. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
+
263. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848075.png ; $L ( H )$ ; confidence 0.995
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180116.png ; $H _ { k + 1 } ( f ( M ) )$ ; confidence 0.998
+
264. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059170/l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
+
265. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a0132202.png ; $F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$ ; confidence 0.619
+
266. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322017.png ; $\overline { B } = C F ( \Delta ^ { \prime } )$ ; confidence 0.999
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
+
268. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
+
269. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
+
270. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437
+
271. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
+
272. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
+
273. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
275. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692
+
276. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093180/t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
+
277. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097600/w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420137.png ; $\tau \mapsto K _ { 0 } ( \tau )$ ; confidence 0.994
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070050.png ; $\beta ( A )$ ; confidence 0.999
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
+
280. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
+
283. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
+
284. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755
+
285. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024820/c02482046.png ; $\leq ( n + 1 ) ( n + 2 ) / 2$ ; confidence 0.994
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032360/d03236035.png ; $\frac { \partial u } { \partial t } + u \frac { \partial u } { \partial x } = D \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$ ; confidence 0.994
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
287. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450146.png ; $\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$ ; confidence 0.994
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029066.png ; $Y$ ; confidence 0.441
+
288. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018028.png ; $H ^ { p } ( d \theta / 2 \pi )$ ; confidence 0.994
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
+
289. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250110.png ; $f = u _ { 1 } + i u _ { 2 }$ ; confidence 0.994
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996
+
290. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036240/e03624043.png ; $\sigma \approx s$ ; confidence 0.994
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
291. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $2 - m - 1$ ; confidence 0.994
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502
+
292. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
+
293. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037200/e037200118.png ; $\gamma \geq 0$ ; confidence 0.994
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060135.png ; $W _ { N } \rightarrow W _ { n }$ ; confidence 0.076
+
294. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
+
295. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
+
296. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
+
297. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052860/i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467
+
298. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053040/i05304033.png ; $F _ { 0 }$ ; confidence 0.994
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a014190112.png ; $\dot { x } = A x$ ; confidence 0.608
+
299. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007082.png ; $\phi _ { \omega } ( F ( z ) ) \leq \phi _ { \omega } ( z )$ ; confidence 0.994
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287
+
300. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548037.png ; $R \phi / 6$ ; confidence 0.994

Revision as of 11:45, 1 September 2019

List

1. b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998

2. b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998

3. b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998

4. c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998

5. c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998

6. c020890110.png ; $\psi = \psi ( s )$ ; confidence 0.998

7. c021620209.png ; $B G$ ; confidence 0.998

8. c02165011.png ; $t _ { k } \in R ^ { 1 }$ ; confidence 0.998

9. c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998

10. c022660300.png ; $K ( f )$ ; confidence 0.998

11. c02266075.png ; $\mu ( E ) = \mu _ { 1 } ( E ) = 0$ ; confidence 0.998

12. c022780177.png ; $( n )$ ; confidence 0.998

13. c02292048.png ; $V _ { 3 }$ ; confidence 0.998

14. c02583071.png ; $i B _ { 0 }$ ; confidence 0.998

15. c026010417.png ; $\rho < 1$ ; confidence 0.998

16. c02717082.png ; $q = 59$ ; confidence 0.998

17. d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998

18. d03191048.png ; $x _ { 2 } ( t )$ ; confidence 0.998

19. d03191051.png ; $x _ { 1 } ( t _ { 0 } ) = x _ { 2 } ( t _ { 0 } )$ ; confidence 0.998

20. d03192079.png ; $0 < l < n$ ; confidence 0.998

21. d03201093.png ; $n - m$ ; confidence 0.998

22. d03292042.png ; $\sigma > h$ ; confidence 0.998

23. d03372050.png ; $\gamma _ { k } < \sigma < 1$ ; confidence 0.998

24. d03399055.png ; $y ^ { \prime } ( b ) + v ( b ) y ( b ) = \gamma ( b )$ ; confidence 0.998

25. e1300407.png ; $U _ { 0 } ( t )$ ; confidence 0.998

26. e12026092.png ; $( L _ { \mu } ) ^ { p }$ ; confidence 0.998

27. e03716049.png ; $\Delta J =$ ; confidence 0.998

28. f0381302.png ; $G _ { i } = V _ { i } ( E + \Delta - V _ { i } ) ^ { - 1 }$ ; confidence 0.998

29. f04019037.png ; $V ( x _ { 0 } )$ ; confidence 0.998

30. f04033018.png ; $f ^ { - 1 } ( f ( x ) ) \cap U$ ; confidence 0.998

31. f04069087.png ; $\{ \xi _ { f } : f \in H \}$ ; confidence 0.998

32. f04117026.png ; $K = D$ ; confidence 0.998

33. f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998

34. g04434018.png ; $d f ( X )$ ; confidence 0.998

35. g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998

36. h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998

37. h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998

38. i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998

39. i12004046.png ; $\partial D \times D$ ; confidence 0.998

40. j05409038.png ; $x = B x + g$ ; confidence 0.998

41. j05420048.png ; $f _ { 0 } ( \Delta )$ ; confidence 0.998

42. j130040145.png ; $M ^ { ( 2 ) }$ ; confidence 0.998

43. k05504059.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 4 } + x _ { 2 } ^ { 4 } + x _ { 3 } ^ { 4 } = 0$ ; confidence 0.998

44. k11019069.png ; $P = Q$ ; confidence 0.998

45. k056010135.png ; $p : X \rightarrow S$ ; confidence 0.998

46. l0570007.png ; $( M N ) \in \Lambda$ ; confidence 0.998

47. l05821012.png ; $- \operatorname { log } | \zeta |$ ; confidence 0.998

48. l05821045.png ; $0 < r < \operatorname { tanh } \pi / 4$ ; confidence 0.998

49. l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998

50. l059170161.png ; $H ^ { k }$ ; confidence 0.998

51. l05935092.png ; $Y ( t ) = X ( t ) C$ ; confidence 0.998

52. l06019071.png ; $d ( A )$ ; confidence 0.998

53. l06025052.png ; $m = n = 1$ ; confidence 0.998

54. m1200304.png ; $f _ { \theta } ( x )$ ; confidence 0.998

55. m06392082.png ; $n \geq 9$ ; confidence 0.998

56. n06690064.png ; $G \rightarrow A$ ; confidence 0.998

57. n06776016.png ; $N ( A ^ { * } ) = \{ 0 \}$ ; confidence 0.998

58. o068350148.png ; $\phi \in D ( A )$ ; confidence 0.998

59. p0723004.png ; $F ( H )$ ; confidence 0.998

60. p072830109.png ; $\sigma _ { i j } ( t )$ ; confidence 0.998

61. p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998

62. p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998

63. p13014049.png ; $\gamma \in R$ ; confidence 0.998

64. q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998

65. q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998

66. r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998

67. r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998

68. r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998

69. r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998

70. r08269033.png ; $| \chi | < \pi$ ; confidence 0.998

71. s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998

72. s086360102.png ; $B ( r ) = \int _ { 0 } ^ { \infty } J _ { 0 } ( \lambda r ) d F ( \lambda )$ ; confidence 0.998

73. s0863808.png ; $s _ { 1 } - t _ { 1 } = s _ { 2 } - t _ { 2 }$ ; confidence 0.998

74. s1202804.png ; $\overline { f } : X \rightarrow Y$ ; confidence 0.998

75. s09090088.png ; $\xi = \infty \in \partial D$ ; confidence 0.998

76. t13005033.png ; $D _ { A } ^ { 2 } = 0$ ; confidence 0.998

77. t13009023.png ; $f ^ { - 1 } ( S )$ ; confidence 0.998

78. t09326078.png ; $d = 6$ ; confidence 0.998

79. t09326038.png ; $( X ) \in M$ ; confidence 0.998

80. t120200142.png ; $m > - 1$ ; confidence 0.998

81. u09544020.png ; $U ( \epsilon )$ ; confidence 0.998

82. v096020116.png ; $f ( z ) \in K$ ; confidence 0.998

83. v096020147.png ; $( f ) \subseteq V ( f )$ ; confidence 0.998

84. w130080124.png ; $T _ { 1 } \sim \Lambda$ ; confidence 0.998

85. y099030101.png ; $\pi _ { 1 } : P _ { 1 } \rightarrow S ^ { 4 }$ ; confidence 0.998

86. a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998

87. b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998

88. b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998

89. a13013097.png ; $L ( \psi ) = z \psi$ ; confidence 0.998

90. a110420121.png ; $y \leq x$ ; confidence 0.998

91. t12001078.png ; $1$ ; confidence 0.998

92. a12022035.png ; $r ( S ) \leq r ( T )$ ; confidence 0.998

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

178. a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996

179. t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996

180. t12001056.png ; $F _ { 3 }$ ; confidence 0.996

181. t120010107.png ; $n \geq 0$ ; confidence 0.996

182. a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996

183. a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996

184. a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996

185. b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996

186. b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996

187. b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996

188. c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996

189. c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996

190. c022660241.png ; $C = C ( f )$ ; confidence 0.996

191. c025140162.png ; $X \in V ( B )$ ; confidence 0.996

192. d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996

193. d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996

194. d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996

195. d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996

196. e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996

197. f03806015.png ; $V$ ; confidence 0.996

198. f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996

199. f04096043.png ; $I V _ { 2 }$ ; confidence 0.996

200. h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996

201. h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996

202. h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996

203. i050650302.png ; $D$ ; confidence 0.996

204. i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996

205. i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996

206. k05503063.png ; $T ( X )$ ; confidence 0.996

207. l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996

208. m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996

209. m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996

210. m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996

211. m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996

212. m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996

213. m06470068.png ; $\partial V _ { t }$ ; confidence 0.996

214. n06663062.png ; $0 < r - s < k$ ; confidence 0.996

215. p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996

216. q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996

217. q07667033.png ; $R [ x ]$ ; confidence 0.996

218. r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996

219. r13007076.png ; $\| f \| = 0$ ; confidence 0.996

220. r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996

221. s086720109.png ; $K ( d s ) = K$ ; confidence 0.996

222. s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996

223. u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996

224. u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996

225. v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996

226. v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996

227. v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996

228. v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996

229. w13008076.png ; $N = 2$ ; confidence 0.996

230. y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996

231. a13013024.png ; $g ( z )$ ; confidence 0.996

232. a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996

233. t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996

234. a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996

235. t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995

236. a130240142.png ; $m \times 1$ ; confidence 0.995

237. a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995

238. a11016027.png ; $A = L + D + U$ ; confidence 0.995

239. a12016064.png ; $\lambda < 1$ ; confidence 0.995

240. a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995

241. a011650288.png ; $m = \nu ( P )$ ; confidence 0.995

242. b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995

243. c11006048.png ; $0 \leq j < k$ ; confidence 0.995

244. c02338015.png ; $\phi \in \Phi$ ; confidence 0.995

245. c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995

246. c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995

247. c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995

248. c02479065.png ; $f ( \zeta )$ ; confidence 0.995

249. c02565066.png ; $D \subset R$ ; confidence 0.995

250. c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995

251. d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995

252. d031380332.png ; $E = N$ ; confidence 0.995

253. f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995

254. g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995

255. g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995

256. h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995

257. i050650137.png ; $K ( B / S )$ ; confidence 0.995

258. i0522303.png ; $x \leq z \leq y$ ; confidence 0.995

259. i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995

260. j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995

261. j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995

262. k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995

263. l05848075.png ; $L ( H )$ ; confidence 0.995

264. l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995

265. l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995

266. m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995

267. m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995

268. n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995

269. p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995

270. p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995

271. p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995

272. r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995

273. s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995

274. s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995

275. t092810205.png ; $\beta ( M )$ ; confidence 0.995

276. t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995

277. w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995

278. a110420137.png ; $\tau \mapsto K _ { 0 } ( \tau )$ ; confidence 0.994

279. a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994

280. b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994

281. a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994

282. a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994

283. b1101309.png ; $E _ { 2 }$ ; confidence 0.994

284. b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994

285. c02482046.png ; $\leq ( n + 1 ) ( n + 2 ) / 2$ ; confidence 0.994

286. d03236035.png ; $\frac { \partial u } { \partial t } + u \frac { \partial u } { \partial x } = D \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$ ; confidence 0.994

287. d032450146.png ; $\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$ ; confidence 0.994

288. d12018028.png ; $H ^ { p } ( d \theta / 2 \pi )$ ; confidence 0.994

289. e035250110.png ; $f = u _ { 1 } + i u _ { 2 }$ ; confidence 0.994

290. e03624043.png ; $\sigma \approx s$ ; confidence 0.994

291. e03640033.png ; $2 - m - 1$ ; confidence 0.994

292. e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994

293. e037200118.png ; $\gamma \geq 0$ ; confidence 0.994

294. g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994

295. g043780157.png ; $T \xi$ ; confidence 0.994

296. g04484023.png ; $B \rightarrow b B$ ; confidence 0.994

297. i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994

298. i05304033.png ; $F _ { 0 }$ ; confidence 0.994

299. j13007082.png ; $\phi _ { \omega } ( F ( z ) ) \leq \phi _ { \omega } ( z )$ ; confidence 0.994

300. k05548037.png ; $R \phi / 6$ ; confidence 0.994

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/2. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/2&oldid=43820