Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/5"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 5 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(4 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998
  
3. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998
  
4. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026830/c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998
  
5. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
  
6. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997
  
7. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
8. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997
  
10. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a11044012.png ; $f _ { 1 }$ ; confidence 0.997
  
11. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997
  
12. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
13. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600100.png ; $O _ { k }$ ; confidence 0.997
  
15. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997
  
16. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997
  
17. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180149.png ; $n > 2$ ; confidence 0.997
  
18. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997
  
19. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417057.png ; $K ( \Gamma )$ ; confidence 0.997
  
20. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
20. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852020.png ; $0 \leq i < m$ ; confidence 0.997
  
21. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997
  
22. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
+
22. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266044.png ; $0 \leq t < 1$ ; confidence 0.997
  
24. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020960/c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957
+
24. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997
  
25. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
+
25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830193.png ; $p + q - n$ ; confidence 0.997
  
26. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997
  
27. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
+
27. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033018.png ; $b = 100$ ; confidence 0.997
  
29. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997
  
30. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997
  
31. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997
  
32. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110270/a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997
  
33. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b11104014.png ; $p = 3$ ; confidence 0.997
  
34. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997
  
35. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997
  
36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997
  
37. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997
  
38. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997
  
39. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007014.png ; $U \subseteq G / B$ ; confidence 0.997
  
40. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018083.png ; $t = 1$ ; confidence 0.997
  
41. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380159.png ; $x + y = y + x$ ; confidence 0.997
  
42. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200808.png ; $c ( x ) > 0$ ; confidence 0.997
  
43. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997
  
44. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a1302203.png ; $Z ( R )$ ; confidence 0.997
  
45. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000105.png ; $A ( E )$ ; confidence 0.997
  
46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997
  
47. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
47. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997
  
48. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997
  
50. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997
  
51. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068031.png ; $k = 3$ ; confidence 0.997
  
52. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997
  
53. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997
  
54. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160033.png ; $6 = 2.3$ ; confidence 0.997
  
55. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997
  
56. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010066.png ; $- \Delta$ ; confidence 0.997
  
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
57. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997
  
58. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
+
58. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997
  
59. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997
  
60. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997
  
61. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997
  
62. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997
  
63. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240344.png ; $1 \times p$ ; confidence 0.997
  
64. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480119.png ; $p - m q$ ; confidence 0.997
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997
  
68. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997
  
69. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997
  
70. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997
  
71. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997
  
72. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997
  
74. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240489.png ; $s = k + 1$ ; confidence 0.997
  
75. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997
  
76. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302407.png ; $( m \times 1 )$ ; confidence 0.997
  
77. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037055.png ; $k > 1$ ; confidence 0.997
  
78. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160094.png ; $K = k ( \theta )$ ; confidence 0.997
  
79. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820106.png ; $A \leq B$ ; confidence 0.997
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997
  
82. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
+
82. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872075.png ; $( L , \pi )$ ; confidence 0.997
  
83. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861013.png ; $\square ^ { t }$ ; confidence 0.997
  
84. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007098.png ; $n ^ { 0 }$ ; confidence 0.997
  
85. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165403.png ; $U ( G )$ ; confidence 0.997
  
86. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472095.png ; $y = \gamma x$ ; confidence 0.997
  
87. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997
  
90. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997
  
91. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997
  
92. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997
  
93. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997
  
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
  
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997
  
96. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
  
97. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997
  
98. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997
  
99. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
100. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013014.png ; $\Leftrightarrow [ \frac { \partial } { \partial x } - P , \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) } ] = 0$ ; confidence 0.947
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013093.png ; $P _ { n + 1 } = \sum _ { i = 0 } ^ { n + 1 } u _ { i } ( \frac { d } { d x } ) ^ { i }$ ; confidence 0.947
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
105. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
  
106. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
  
107. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c024730113.png ; $P _ { i j } = \frac { 1 } { n - 2 } R _ { j } - \delta _ { j } ^ { i } \frac { R } { 2 ( n - 1 ) ( n - 2 ) }$ ; confidence 0.947
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
  
108. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300908.png ; $U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$ ; confidence 0.947
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997
  
109. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
  
110. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997
  
111. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024540/c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997
  
112. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997
  
113. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997
  
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572060.png ; $x - y \in U$ ; confidence 0.997
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997
  
116. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997
  
117. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
117. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130020/d13002017.png ; $0 \leq k < 1$ ; confidence 0.997
  
118. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $f t = g t$ ; confidence 0.997
  
119. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
+
119. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997
  
120. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997
  
122. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997
  
123. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
+
123. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110500/c11050032.png ; $H C ^ { 0 } ( A )$ ; confidence 0.945
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997
  
125. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945
+
125. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430225.png ; $\operatorname { lm } A ( \tau )$ ; confidence 0.945
+
126. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $A + 2$ ; confidence 0.997
  
127. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066480/n06648031.png ; $\phi _ { \alpha } ( f ) = w _ { \alpha }$ ; confidence 0.945
+
127. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
  
128. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
+
129. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
130. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c02485065.png ; $A . B$ ; confidence 0.944
+
130. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
131. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
+
131. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
132. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944
+
132. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
133. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715026.png ; $\ddot { x } \square _ { \nu } = d \dot { x } \square _ { \nu } / d t$ ; confidence 0.944
+
133. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
134. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011033.png ; $S ( R ^ { n } ) \times S ( R ^ { n } )$ ; confidence 0.944
+
134. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420120.png ; $y \in G ^ { + }$ ; confidence 0.943
+
135. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
136. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581038.png ; $\Phi \Psi$ ; confidence 0.943
+
136. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
137. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040610/f04061036.png ; $C ^ { b r } ( E ^ { n } )$ ; confidence 0.943
+
137. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
138. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042084.png ; $x _ { 1 } , x _ { 2 } , y _ { 1 } , y _ { 2 } \in G$ ; confidence 0.943
+
139. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
140. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001075.png ; $s ^ { 2 }$ ; confidence 0.942
+
140. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
141. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040390/f04039064.png ; $y ^ { i } C _ { i j k } = 0$ ; confidence 0.942
+
141. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
142. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450112.png ; $\xi = \sum b _ { j } x ( t _ { j } )$ ; confidence 0.942
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
143. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080127.png ; $S _ { n } = s _ { n } + \theta ^ { 2 } F _ { n }$ ; confidence 0.942
+
143. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997
  
144. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280173.png ; $R ^ { i } F = H ^ { i } \circ R ^ { * } F$ ; confidence 0.941
+
144. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
+
145. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055100/k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997
  
146. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120128.png ; $C = Z ( Q )$ ; confidence 0.941
+
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
+
147. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055340/k0553405.png ; $K _ { \mu }$ ; confidence 0.997
  
148. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
+
148. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001034.png ; $SO ( 3 )$ ; confidence 0.940
+
149. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997
  
150. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008010.png ; $F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$ ; confidence 0.940
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997
  
151. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067860/n067860258.png ; $V \subset \rho U$ ; confidence 0.940
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997
  
152. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024110/c02411026.png ; $d = ( d _ { n } )$ ; confidence 0.939
+
152. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $p \in P \backslash N$ ; confidence 0.997
  
153. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
  
154. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026061.png ; $\partial _ { s }$ ; confidence 0.939
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
+
157. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
158. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
+
158. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
159. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
+
160. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
161. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
162. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
  
163. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997
  
164. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
+
164. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
+
165. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
+
167. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997
  
168. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
+
168. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997
  
169. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
+
169. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997
  
170. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
+
170. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
  
171. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
+
171. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997
  
172. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
+
172. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097310/w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997
  
173. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
+
173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997
  
174. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
+
174. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
+
175. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098040/w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
+
176. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005046.png ; $I = ( f )$ ; confidence 0.997
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
+
177. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002043.png ; $1.609$ ; confidence 0.997
  
178. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997
  
179. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015023.png ; $\alpha ( S )$ ; confidence 0.997
  
180. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
+
180. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120313.png ; $E = G$ ; confidence 0.997
  
181. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
+
181. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l0584708.png ; $0 \leq i < n$ ; confidence 0.997
  
182. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997
  
183. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
+
183. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997
  
185. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
+
185. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997
  
186. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007038.png ; $( X ) < \infty$ ; confidence 0.997
  
187. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
+
187. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997
  
188. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200403.png ; $D ( A )$ ; confidence 0.997
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997
  
190. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997
  
193. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008054.png ; $A ( t )$ ; confidence 0.997
  
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997
  
195. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010291.png ; $G ( A )$ ; confidence 0.997
  
196. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240503.png ; $j = 1,2,3$ ; confidence 0.997
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010272.png ; $B = A ^ { T }$ ; confidence 0.997
  
200. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997
  
202. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997
  
203. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
+
203. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997
  
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997
  
205. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997
  
206. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769094.png ; $\Gamma \subset G$ ; confidence 0.997
  
207. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997
  
208. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997
  
209. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419020.png ; $\phi ( t )$ ; confidence 0.997
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997
  
212. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997
  
213. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997
  
214. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
+
214. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997
  
215. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997
  
216. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997
  
217. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997
  
218. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997
  
219. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997
  
220. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450158.png ; $g < 11$ ; confidence 0.997
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038042.png ; $\approx 0$ ; confidence 0.997
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020090.png ; $P ( T ) \in J$ ; confidence 0.997
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008015.png ; $x = 0$ ; confidence 0.997
  
224. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
+
224. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997
  
225. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
+
225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001029.png ; $U \subset X / G$ ; confidence 0.997
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997
  
227. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820210.png ; $F ( X , Y )$ ; confidence 0.997
  
228. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997
  
229. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997
  
230. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997
  
231. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997
  
232. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
+
232. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997
  
233. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
+
234. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997
  
235. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001019.png ; $\delta A$ ; confidence 0.997
  
236. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997
  
238. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997
  
239. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997
  
240. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120486.png ; $( F , \tau )$ ; confidence 0.997
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997
  
242. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997
  
243. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997
  
244. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
+
244. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997
  
245. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997
  
246. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
+
246. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830393.png ; $A = 0$ ; confidence 0.997
  
247. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997
  
248. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
+
248. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997
  
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
+
250. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997
  
251. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022091.png ; $p = 4$ ; confidence 0.997
  
252. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997
  
253. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930232.png ; $= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$ ; confidence 0.918
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040270/f04027014.png ; $| G | = m n$ ; confidence 0.997
  
254. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997
  
255. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997
  
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997
  
259. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997
  
260. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450444.png ; $X _ { 1 } \cup X _ { 2 } = X$ ; confidence 0.917
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021041.png ; $( B _ { i j } )$ ; confidence 0.997
  
261. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010109.png ; $m > 3$ ; confidence 0.916
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010133.png ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916
+
262. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023620/c0236203.png ; $| \alpha ( z ) |$ ; confidence 0.916
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997
  
264. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054070/j05407010.png ; $w _ { 1 } = w _ { 1 } ( z _ { 1 } )$ ; confidence 0.916
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
+
265. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544057.png ; $\forall x \in D _ { k } : \mu _ { k } \Delta u + ( \lambda _ { k } + \mu _ { k } ) \text { grad div } u = 0$ ; confidence 0.915
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997
  
267. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450251.png ; $g > 2$ ; confidence 0.997
  
268. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780212.png ; $31$ ; confidence 0.915
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022011.png ; $X = 1 ^ { p }$ ; confidence 0.914
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210108.png ; $j = 1,2,3$ ; confidence 0.997
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
+
270. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476904.png ; $G \times M$ ; confidence 0.996
  
271. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996
  
272. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996
  
273. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002045.png ; $T$ ; confidence 0.914
+
273. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996
  
274. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015064.png ; $P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$ ; confidence 0.914
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996
  
275. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914
+
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996
  
276. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062170/m06217010.png ; $Z ( A )$ ; confidence 0.996
  
277. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c02473061.png ; $\Omega ^ { \prime } = \| \Omega _ { \alpha } ^ { \prime \beta } \|$ ; confidence 0.913
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996
  
278. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913
+
278. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996
  
279. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060530/l0605309.png ; $h _ { U } = \phi _ { U } ^ { - 1 }$ ; confidence 0.912
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
+
280. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996
  
281. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130352.png ; $s ^ { \prime } ( \Omega ^ { r } ( X ) )$ ; confidence 0.911
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996
  
282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996
  
283. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996
  
284. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007023.png ; $\beta$ ; confidence 0.911
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013037.png ; $SL _ { 2 } ( C )$ ; confidence 0.910
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996
  
287. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996
  
288. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590279.png ; $z \in D \backslash P$ ; confidence 0.996
  
289. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996
  
290. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096770/v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015060.png ; $G = U ( n )$ ; confidence 0.996
  
291. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009053.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | f | _ { H ^ { \otimes n } }$ ; confidence 0.909
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996
  
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996
  
293. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026600/c026600121.png ; $\operatorname { lm } z ( x ) = 1$ ; confidence 0.908
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996
  
294. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $S = o ( \# A )$ ; confidence 0.908
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046031.png ; $A , \chi , \eta$ ; confidence 0.996
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a0111006.png ; $A \times A$ ; confidence 0.996
  
296. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024025.png ; $K ( L )$ ; confidence 0.907
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996
  
297. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996
  
298. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014048.png ; $E = E$ ; confidence 0.907
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300109.png ; $s = s ( ( A ^ { * } ) ^ { ( B ^ { * } ) } , ( B ^ { * } ) ^ { ( C ^ { * } ) } )$ ; confidence 0.907
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013052.png ; $q ^ { ( l + 1 ) } = - ( q ^ { ( l ) } ) ^ { 2 } r ^ { ( l ) } + q ^ { ( l ) } \operatorname { log } ( q ^ { ( l ) } ) , r ^ { ( l + 1 ) } = \frac { 1 } { q ^ { ( l ) } }$ ; confidence 0.906
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

Latest revision as of 09:58, 17 October 2019

List

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/5&oldid=43855