Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/3"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 3 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 3 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548037.png ; $R \phi / 6$ ; confidence 0.994
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057200/l0572001.png ; $T + V = h$ ; confidence 0.994
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240495.png ; $m = 2$ ; confidence 0.996
  
3. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861031.png ; $Z \times T$ ; confidence 0.994
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995
  
4. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $\lambda K + t$ ; confidence 0.994
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210128.png ; $( f )$ ; confidence 0.995
  
5. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066360/n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210111.png ; $( \omega )$ ; confidence 0.995
  
6. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066440/n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018051.png ; $\alpha = 0$ ; confidence 0.995
  
7. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995
  
8. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994
+
8. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995
  
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072880/p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240142.png ; $m \times 1$ ; confidence 0.995
  
10. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
  
11. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
  
12. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
  
13. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
  
14. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
  
15. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
+
15. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
  
16. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
  
17. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
+
17. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338015.png ; $\phi \in \Phi$ ; confidence 0.995
  
18. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
+
18. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995
  
19. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
+
19. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024450/c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993
+
20. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993
+
21. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024790/c02479065.png ; $f ( \zeta )$ ; confidence 0.995
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025650/c02565066.png ; $D \subset R$ ; confidence 0.995
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993
+
24. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031100/d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240286.png ; $1 - \alpha$ ; confidence 0.993
+
25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380332.png ; $E = N$ ; confidence 0.995
  
26. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
+
26. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
+
27. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
+
28. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
  
29. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
+
29. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
  
30. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
+
30. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
  
31. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
+
31. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052230/i0522303.png ; $x \leq z \leq y$ ; confidence 0.995
  
32. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
+
32. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052730/i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995
  
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993
+
33. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995
  
34. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993
+
34. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995
  
35. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993
+
35. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995
  
36. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993
+
36. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848075.png ; $L ( H )$ ; confidence 0.995
  
37. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993
+
37. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059170/l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995
  
38. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555010.png ; $X _ { t } = m F$ ; confidence 0.993
+
38. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995
  
39. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
+
39. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995
  
40. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
+
40. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995
  
41. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
+
41. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995
  
42. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
+
42. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995
  
43. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993
+
43. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
  
44. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883068.png ; $- \Delta u + c u$ ; confidence 0.993
+
44. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
  
45. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
  
46. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993
+
46. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
47. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067610/n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993
+
47. 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
  
48. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $K _ { 10 }$ ; confidence 0.993
+
48. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
  
49. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993
+
49. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093180/t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995
  
50. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
+
50. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097600/w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995
  
51. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995
  
52. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010271.png ; $A X + X B = C$ ; confidence 0.995
  
53. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302409.png ; $( n \times 1 )$ ; confidence 0.995
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994
  
55. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010175.png ; $\delta A ^ { + } = - B B ^ { T } R$ ; confidence 0.994
  
56. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993
+
56. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994
  
57. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994
  
58. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420137.png ; $\tau \mapsto K _ { 0 } ( \tau )$ ; confidence 0.994
  
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090399.png ; $L ( \mu )$ ; confidence 0.993
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
  
60. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
+
61. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992
+
62. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
+
63. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
+
64. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024820/c02482046.png ; $\leq ( n + 1 ) ( n + 2 ) / 2$ ; confidence 0.994
  
65. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
+
65. 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
  
66. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
+
66. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450146.png ; $\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$ ; confidence 0.994
  
67. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
+
67. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018028.png ; $H ^ { p } ( d \theta / 2 \pi )$ ; confidence 0.994
  
68. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
+
68. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250110.png ; $f = u _ { 1 } + i u _ { 2 }$ ; confidence 0.994
  
69. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
+
69. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036240/e03624043.png ; $\sigma \approx s$ ; confidence 0.994
  
70. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
+
70. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $2 - m - 1$ ; confidence 0.994
  
71. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
+
71. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994
  
72. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021600/c02160021.png ; $A$ ; confidence 0.992
+
72. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037200/e037200118.png ; $\gamma \geq 0$ ; confidence 0.994
  
73. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992
+
73. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994
  
74. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992
+
74. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
  
75. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992
+
75. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
  
76. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992
+
76. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052860/i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994
  
77. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992
+
77. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053040/i05304033.png ; $F _ { 0 }$ ; confidence 0.994
  
78. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $s = 0$ ; confidence 0.992
+
78. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007082.png ; $\phi _ { \omega } ( F ( z ) ) \leq \phi _ { \omega } ( z )$ ; confidence 0.994
  
79. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $\infty \in G$ ; confidence 0.992
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548037.png ; $R \phi / 6$ ; confidence 0.994
  
80. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120050/e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992
+
80. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057200/l0572001.png ; $T + V = h$ ; confidence 0.994
  
81. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
+
81. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861031.png ; $Z \times T$ ; confidence 0.994
  
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
+
82. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $\lambda K + t$ ; confidence 0.994
  
83. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992
+
83. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066360/n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994
  
84. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
+
84. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066440/n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994
  
85. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992
+
85. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994
  
86. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949079.png ; $x = F ( t ) y$ ; confidence 0.992
+
86. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994
  
87. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992
+
87. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072880/p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994
  
88. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992
+
88. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994
  
89. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150173.png ; $x + h \in G$ ; confidence 0.992
+
89. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
  
90. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992
+
90. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
  
91. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
+
91. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
  
92. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
+
92. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
  
93. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
+
93. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
  
94. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
+
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
  
95. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
  
96. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
  
97. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240380.png ; $( p , n - r - p + 1 )$ ; confidence 0.994
  
98. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001048.png ; $t - p$ ; confidence 0.994
  
99. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310111.png ; $M ( C ( S ) , \alpha , G )$ ; confidence 0.994
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991
+
100. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102007.png ; $A + B$ ; confidence 0.993
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240286.png ; $1 - \alpha$ ; confidence 0.993
  
109. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
  
110. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025150/c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
  
111. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
+
111. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
  
112. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
  
113. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
+
113. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
  
114. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991
+
114. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
  
116. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993
  
117. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
+
117. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993
  
118. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993
  
119. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
+
119. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993
  
120. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
+
120. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993
  
121. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
+
121. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555010.png ; $X _ { t } = m F$ ; confidence 0.993
  
122. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
+
122. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
  
123. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
+
123. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
  
124. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
+
124. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
  
125. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
+
125. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
  
126. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
+
126. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993
  
127. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
+
127. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883068.png ; $- \Delta u + c u$ ; confidence 0.993
  
128. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993
  
129. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
+
129. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993
  
130. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
+
130. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067610/n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993
  
131. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
+
131. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $K _ { 10 }$ ; confidence 0.993
  
132. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
+
132. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993
  
133. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
+
133. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
  
134. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
+
134. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
+
135. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
  
136. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990
+
136. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
+
138. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993
  
139. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
+
139. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993
  
140. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
+
140. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993
  
141. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
+
141. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993
  
142. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
+
142. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090399.png ; $L ( \mu )$ ; confidence 0.993
  
143. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
+
143. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
  
144. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031051.png ; $\{ x \in X : f ( x ) \neq 0 \}$ ; confidence 0.993
  
145. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010205.png ; $z \neq 0$ ; confidence 0.993
  
146. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018043.png ; $\phi ( s ) = B \frac { ( - 1 ) ^ { - \alpha } } { ( - \alpha - 1 ) ! } s ( s - s _ { 1 } ) ^ { - \alpha - 1 } \operatorname { ln } ( s - s _ { 1 } ) + g ( s )$ ; confidence 0.993
  
147. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
+
147. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
  
148. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010292.png ; $| F ( A ) - G ( A ) \| \leq$ ; confidence 0.992
  
149. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992
  
150. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
  
151. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
  
152. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055350/k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990
+
152. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
  
153. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055610/k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990
+
153. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
  
154. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
+
154. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
  
155. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
+
155. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
  
156. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
+
156. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
  
157. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
+
157. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
  
158. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
+
158. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
  
159. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
+
159. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021600/c02160021.png ; $A$ ; confidence 0.992
  
160. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
+
160. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992
  
161. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990
+
161. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992
  
162. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
+
162. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992
  
163. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
+
163. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
+
164. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992
  
165. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
+
165. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $s = 0$ ; confidence 0.992
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
+
166. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $\infty \in G$ ; confidence 0.992
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
+
167. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120050/e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
+
168. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
+
169. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
  
170. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
+
170. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992
  
171. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
+
171. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
  
172. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
+
172. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
+
173. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949079.png ; $x = F ( t ) y$ ; confidence 0.992
  
174. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
+
174. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992
  
175. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989
+
175. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992
  
176. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
+
176. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150173.png ; $x + h \in G$ ; confidence 0.992
  
177. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
+
177. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992
  
178. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
+
178. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
  
179. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
+
179. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
  
180. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
+
180. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
  
181. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
+
181. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
  
182. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
  
183. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110170/l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989
+
183. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
  
184. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
+
184. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992
  
185. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
+
185. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992
  
186. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
+
186. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992
  
187. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992
  
188. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210140.png ; $R ( z , w )$ ; confidence 0.991
  
190. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991
  
191. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240361.png ; $H : \Theta = 0$ ; confidence 0.991
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064015.png ; $1$ ; confidence 0.991
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
199. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024990/c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
200. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
201. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
202. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
  
203. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
+
203. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
  
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
+
204. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
205. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
+
205. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
206. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
+
206. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025150/c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991
  
207. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
+
207. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
208. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988
+
208. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
209. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
+
209. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
210. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
+
210. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991
  
211. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
+
211. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
212. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
+
212. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
+
213. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
+
214. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
215. 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
+
215. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
+
216. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
+
217. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
+
218. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
219. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
+
219. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
220. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
+
220. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
  
221. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
+
221. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
  
222. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
+
222. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
+
223. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
  
224. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
+
224. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991
  
225. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
+
225. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
  
226. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
+
226. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
+
227. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
  
228. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
+
228. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
229. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
+
229. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
230. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
+
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
  
231. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991
  
232. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240437.png ; $( p \times q )$ ; confidence 0.991
  
233. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018061.png ; $\phi ( s )$ ; confidence 0.991
  
234. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991
  
235. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240494.png ; $k = 1$ ; confidence 0.990
  
236. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990
  
237. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990
  
238. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990
  
239. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
+
240. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
+
243. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
+
244. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
  
245. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
+
245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
246. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
+
246. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
247. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
+
247. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
248. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
249. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
+
249. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
250. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
+
250. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
251. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
+
251. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
252. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
+
252. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990
  
253. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
+
253. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
254. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
+
254. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
  
255. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
+
255. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
256. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
+
256. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055350/k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
+
257. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055610/k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
+
258. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
+
259. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
  
260. 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
+
260. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
+
261. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
  
262. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
+
262. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
263. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
+
263. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
  
264. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
+
264. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
+
265. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
+
266. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
267. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
+
267. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
268. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990
  
269. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
270. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989
  
271. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
+
271. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
  
272. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989
  
273. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031048.png ; $M ( K )$ ; confidence 0.989
  
274. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
275. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
276. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
  
277. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
  
278. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
+
278. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
279. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
+
279. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
280. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
+
280. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
281. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
+
281. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
+
282. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
+
283. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
+
284. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
+
285. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
+
286. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
+
287. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
+
288. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
289. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
+
289. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
  
290. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
+
290. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989
  
291. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
+
291. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110170/l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989
  
292. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
+
292. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
  
293. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
+
293. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
294. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
+
294. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
295. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
+
295. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
+
296. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
297. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
+
297. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
298. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
+
298. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989
  
299. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
+
299. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
  
300. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989

Revision as of 10:05, 2 September 2019

List

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

2. a130240495.png ; $m = 2$ ; confidence 0.996

3. a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995

4. a010210128.png ; $( f )$ ; confidence 0.995

5. a010210111.png ; $( \omega )$ ; confidence 0.995

6. a01018051.png ; $\alpha = 0$ ; confidence 0.995

7. a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

51. a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995

52. a110010271.png ; $A X + X B = C$ ; confidence 0.995

53. a1302409.png ; $( n \times 1 )$ ; confidence 0.995

54. a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994

55. a110010175.png ; $\delta A ^ { + } = - B B ^ { T } R$ ; confidence 0.994

56. t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

80. l0572001.png ; $T + V = h$ ; confidence 0.994

81. l05861031.png ; $Z \times T$ ; confidence 0.994

82. m12021026.png ; $\lambda K + t$ ; confidence 0.994

83. n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994

84. n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994

85. n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994

86. o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994

87. p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994

88. p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994

89. p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994

90. p07393024.png ; $A / N _ { f }$ ; confidence 0.994

91. p07472076.png ; $\gamma \in G$ ; confidence 0.994

92. p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994

93. r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994

94. s08530020.png ; $c b = c$ ; confidence 0.994

95. s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994

96. t093150169.png ; $F \in \gamma$ ; confidence 0.994

97. a130240380.png ; $( p , n - r - p + 1 )$ ; confidence 0.994

98. a11001048.png ; $t - p$ ; confidence 0.994

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

100. b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993

101. a0102007.png ; $A + B$ ; confidence 0.993

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

103. a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993

104. a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993

105. a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993

106. a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993

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

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

109. a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993

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

111. b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993

112. b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993

113. b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993

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

115. c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993

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

117. c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993

118. d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993

119. e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993

120. e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993

121. e03555010.png ; $X _ { t } = m F$ ; confidence 0.993

122. f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993

123. f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993

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

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

126. k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993

127. l05883068.png ; $- \Delta u + c u$ ; confidence 0.993

128. l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993

129. m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993

130. n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993

131. o11007085.png ; $K _ { 10 }$ ; confidence 0.993

132. o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993

133. p07535038.png ; $d ( S )$ ; confidence 0.993

134. r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993

135. r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993

136. s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

137. s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993

138. s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993

139. t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993

140. t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993

141. t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993

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

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

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

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

146. a01018043.png ; $\phi ( s ) = B \frac { ( - 1 ) ^ { - \alpha } } { ( - \alpha - 1 ) ! } s ( s - s _ { 1 } ) ^ { - \alpha - 1 } \operatorname { ln } ( s - s _ { 1 } ) + g ( s )$ ; confidence 0.993

147. b0153908.png ; $L ( \theta , d )$ ; confidence 0.992

148. a110010292.png ; $| F ( A ) - G ( A ) \| \leq$ ; confidence 0.992

149. a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992

150. a12010079.png ; $( I + \lambda A )$ ; confidence 0.992

151. a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992

152. b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992

153. b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992

154. b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992

155. b13017045.png ; $S _ { T }$ ; confidence 0.992

156. b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992

157. b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992

158. b01735056.png ; $K ^ { + }$ ; confidence 0.992

159. c02160021.png ; $A$ ; confidence 0.992

160. c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992

161. c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992

162. c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992

163. d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992

164. d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992

165. d03292035.png ; $s = 0$ ; confidence 0.992

166. d034120271.png ; $\infty \in G$ ; confidence 0.992

167. e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992

168. g11005015.png ; $\nu < \kappa$ ; confidence 0.992

169. g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992

170. g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992

171. h046470224.png ; $d \sigma ( y )$ ; confidence 0.992

172. l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992

173. l05949079.png ; $x = F ( t ) y$ ; confidence 0.992

174. m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992

175. n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992

176. n067150173.png ; $x + h \in G$ ; confidence 0.992

177. o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992

178. p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992

179. p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992

180. r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992

181. r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992

182. s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992

183. s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992

184. s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992

185. s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992

186. v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992

187. a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992

188. a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992

189. a010210140.png ; $R ( z , w )$ ; confidence 0.991

190. a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991

191. a130240361.png ; $H : \Theta = 0$ ; confidence 0.991

192. a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991

193. a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991

194. a11064015.png ; $1$ ; confidence 0.991

195. a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991

196. a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991

197. a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991

198. a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991

199. a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991

200. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

201. a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991

202. a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991

203. b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991

204. b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991

205. c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991

206. c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991

207. c025350104.png ; $B \rightarrow H$ ; confidence 0.991

208. c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991

209. c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991

210. c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991

211. d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991

212. d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991

213. d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991

214. f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991

215. f130100140.png ; $G = T$ ; confidence 0.991

216. f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991

217. f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991

218. f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991

219. f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991

220. h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991

221. h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991

222. k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991

223. l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991

224. m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991

225. m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991

226. m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991

227. n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991

228. q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991

229. r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991

230. r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991

231. a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991

232. a130240437.png ; $( p \times q )$ ; confidence 0.991

233. a01018061.png ; $\phi ( s )$ ; confidence 0.991

234. a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991

235. a130240494.png ; $k = 1$ ; confidence 0.990

236. a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990

237. a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990

238. a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990

239. a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

240. t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990

241. a01024055.png ; $L \subset F$ ; confidence 0.990

242. a1200203.png ; $A \subset Y$ ; confidence 0.990

243. b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990

244. b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990

245. b11042055.png ; $\mu \in R$ ; confidence 0.990

246. b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990

247. c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990

248. c02687095.png ; $D U$ ; confidence 0.990

249. d11022035.png ; $L y = g$ ; confidence 0.990

250. e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990

251. e11010022.png ; $o ( G )$ ; confidence 0.990

252. f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990

253. h046300124.png ; $P _ { n - k }$ ; confidence 0.990

254. h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990

255. i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990

256. k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990

257. k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990

258. k055840354.png ; $C = C ^ { * }$ ; confidence 0.990

259. l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990

260. m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990

261. p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990

262. p074150292.png ; $f \in C$ ; confidence 0.990

263. r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990

264. r08216057.png ; $N = 0$ ; confidence 0.990

265. s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990

266. t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990

267. w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990

268. a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990

269. a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

270. a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989

271. t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989

272. a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989

273. a12031048.png ; $M ( K )$ ; confidence 0.989

274. a110420143.png ; $1$ ; confidence 0.989

275. a130240396.png ; $M _ { H }$ ; confidence 0.989

276. a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989

277. a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989

278. b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989

279. c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989

280. c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989

281. c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989

282. e03653023.png ; $t h$ ; confidence 0.989

283. e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989

284. g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989

285. h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989

286. h04852064.png ; $| f | = 1$ ; confidence 0.989

287. i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989

288. i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989

289. i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989

290. k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989

291. l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989

292. m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989

293. m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989

294. m06380081.png ; $\sigma ( W )$ ; confidence 0.989

295. r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989

296. s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989

297. s08665020.png ; $i > 2 n - 1$ ; confidence 0.989

298. t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989

299. t09465038.png ; $\forall v \phi$ ; confidence 0.989

300. a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/3. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/3&oldid=43864