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(AUTOMATIC EDIT of page 10 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 10 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(3 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
+
1. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541025.png ; $U _ { n } ( k )$ ; confidence 0.982
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
  
3. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121039.png ; $z ^ { 1 / 4 }$ ; confidence 0.982
  
4. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380177.png ; $\{ x \vee y , x \}$ ; confidence 0.982
  
5. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081067.png ; $U _ { k } ( y ) \equiv \sum _ { p = 1 } ^ { n } [ \alpha _ { k p } y ^ { ( p - 1 ) } ( t _ { 0 } ) + \beta _ { k p } y ^ { ( p - 1 ) } ( t _ { 1 } ) ]$ ; confidence 0.982
  
6. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982
  
7. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982
  
8. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137037.png ; $f \in C ( X )$ ; confidence 0.982
  
9. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160024.png ; $x + y \sqrt { D }$ ; confidence 0.981
  
10. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
+
10. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164028.png ; $( F , V )$ ; confidence 0.981
  
11. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600196.png ; $K / k$ ; confidence 0.981
  
12. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981
  
13. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981
  
14. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010021.png ; $C ( X )$ ; confidence 0.981
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575
+
16. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876017.png ; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981
  
17. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007066.png ; $C _ { 2 } > 0$ ; confidence 0.981
  
18. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092800/t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981
  
19. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574
+
20. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981
  
21. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001014.png ; $5$ ; confidence 0.574
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041069.png ; $u , v > 0$ ; confidence 0.981
  
22. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052067.png ; $\eta ^ { \prime } = f _ { y } ( x , y ) \eta + S$ ; confidence 0.981
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012059.png ; $x > 0$ ; confidence 0.981
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
  
25. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981
  
26. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061200/l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013066.png ; $5$ ; confidence 0.571
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
  
28. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571
+
28. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013059.png ; $i$ ; confidence 0.570
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
  
30. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
  
31. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570
+
31. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
  
32. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $x \in Y ( u )$ ; confidence 0.570
+
32. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
  
33. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
  
34. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
  
35. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
+
35. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
  
36. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
+
36. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
  
37. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569
+
37. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569
+
38. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
+
39. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
+
40. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
  
41. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460182.png ; $z \in N$ ; confidence 0.568
+
41. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
  
42. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
+
42. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
  
43. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
+
43. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
+
44. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
  
45. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018054.png ; $s = 1$ ; confidence 0.564
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160018.png ; $D > 1$ ; confidence 0.981
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370108.png ; $f ( x _ { 1 } ) \neq f ( x _ { 2 } )$ ; confidence 0.981
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010277.png ; $C$ ; confidence 0.563
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160131.png ; $R = r _ { 1 } ( X _ { 1 } ) + r _ { 2 } ( X _ { 2 } ) - r _ { 12 } ( X _ { 12 } )$ ; confidence 0.981
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210125.png ; $L ( a )$ ; confidence 0.563
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417027.png ; $e ^ { 2 \pi i z }$ ; confidence 0.981
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562
+
52. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559036.png ; $z = \phi _ { 2 } ( t )$ ; confidence 0.981
  
53. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010140.png ; $\geq 7$ ; confidence 0.562
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640132.png ; $0 \rightarrow O _ { V } \rightarrow E _ { \alpha } \rightarrow T _ { V } \rightarrow 0$ ; confidence 0.981
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004017.png ; $\infty \in H ^ { * }$ ; confidence 0.981
  
55. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
+
55. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300202.png ; $\operatorname { log } \alpha$ ; confidence 0.981
  
56. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055800/k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a0107601.png ; $\frac { d x } { d t } = v , \quad \frac { d v } { d t } = - \omega ^ { 2 } ( \epsilon t ) x$ ; confidence 0.981
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020038.png ; $d _ { n } d _ { n + 1 } = 0 , n = 0 , \pm 1 , \pm 2 , \dots$ ; confidence 0.562
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
  
58. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149045.png ; $f _ { 0 } ^ { j } ( x _ { 0 } ) = y _ { 0 } ^ { j } , \quad F ( x , f _ { 0 } ^ { j } ( x ) ) = 0$ ; confidence 0.981
  
59. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017031.png ; $\lambda ^ { * } > 0$ ; confidence 0.981
  
60. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
+
60. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
  
62. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150012.png ; $( x , \sqrt { f ( x ) } ) \oplus ( c , \sqrt { f ( c ) } ) = ( y , \sqrt { f ( y ) } )$ ; confidence 0.980
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240337.png ; $1$ ; confidence 0.560
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100202.png ; $v$ ; confidence 0.560
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031081.png ; $\{ z \in A : z \alpha = \alpha z \text { for each } \alpha \in A \}$ ; confidence 0.559
+
65. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063060/m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024051.png ; $p \geq 0$ ; confidence 0.980
  
67. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
  
68. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980
  
69. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $k \geq n - i t$ ; confidence 0.558
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082016.png ; $H _ { G }$ ; confidence 0.980
  
70. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980
  
71. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145045.png ; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980
  
72. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550175.png ; $X = 0$ ; confidence 0.554
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
  
73. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
  
74. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100203.png ; $D \subset G$ ; confidence 0.553
+
76. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
  
77. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
  
78. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $\overline { w }$ ; confidence 0.553
+
79. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010220.png ; $\lambda _ { j }$ ; confidence 0.553
+
80. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
  
82. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
+
82. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021051.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 1 } { z } + f ( z ) ) d z$ ; confidence 0.552
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
+
84. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
  
85. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062390/m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551
+
85. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
  
86. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240182.png ; $H _ { A }$ ; confidence 0.550
+
87. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013085.png ; $L$ ; confidence 0.550
+
88. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
+
89. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
  
90. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
+
90. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
  
91. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $A \simeq K$ ; confidence 0.550
+
91. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
  
92. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
+
92. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
  
93. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008025.png ; $V = H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.980
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240332.png ; $Z = Y X$ ; confidence 0.548
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070128.png ; $k > 8$ ; confidence 0.980
  
96. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
+
96. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980
  
97. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294012.png ; $Y \times t$ ; confidence 0.546
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050236.png ; $q > 1$ ; confidence 0.980
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070038.png ; $p \geq 2$ ; confidence 0.980
  
99. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980
  
100. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063100/m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001014.png ; $R el$ ; confidence 0.544
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018021.png ; $\Gamma \subseteq \Delta$ ; confidence 0.980
  
102. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022500/c02250014.png ; $j \leq n$ ; confidence 0.544
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980
  
103. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095630/u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544
+
103. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055042.png ; $F ( 1 ) ( V )$ ; confidence 0.980
  
104. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024073.png ; $n = I K$ ; confidence 0.542
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220113.png ; $f \in L ^ { 1 } ( H , m )$ ; confidence 0.980
  
106. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225705.png ; $x \in D _ { A }$ ; confidence 0.542
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011026.png ; $T ( i , 0 ) = 0 \text { for } i \geq 1 , T ( i , 1 ) = 2 \text { for } i \geq 1$ ; confidence 0.980
  
107. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759045.png ; $E ( Q )$ ; confidence 0.980
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081080.png ; $n - k$ ; confidence 0.980
  
109. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012015.png ; $t > 4$ ; confidence 0.980
  
110. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541
+
110. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980
  
111. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049020.png ; $F \in F _ { D }$ ; confidence 0.980
  
112. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007062.png ; $A ( 0 ) u _ { 0 } \in D _ { A ( 0 ) } ( \alpha , \infty )$ ; confidence 0.979
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540
+
113. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316408.png ; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979
  
114. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640116.png ; $p _ { 12 } > 1$ ; confidence 0.979
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
  
117. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
+
117. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696032.png ; $F _ { 0 } \subset F$ ; confidence 0.979
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979
  
119. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010117.png ; $D$ ; confidence 0.538
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137078.png ; $f _ { 1 } ( x ) + \ldots + f _ { n } ( x ) \equiv 1$ ; confidence 0.979
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
+
120. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300205.png ; $\alpha ^ { \beta } = \operatorname { exp } \{ \beta \operatorname { log } \alpha \}$ ; confidence 0.979
  
121. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c02760032.png ; $( u = const )$ ; confidence 0.538
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008075.png ; $c _ { n } = \frac { 1 } { \sqrt { n } B ( \frac { n } { 2 } , \frac { 1 } { 2 } ) } = \frac { \Gamma ( \frac { n + 1 } { 2 } ) } { \sqrt { n \pi } \Gamma ( \frac { n } { 2 } ) }$ ; confidence 0.979
  
122. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711026.png ; $\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$ ; confidence 0.538
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n$ ; confidence 0.537
+
123. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537
+
124. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
  
125. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055580/k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537
+
125. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062070/m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537
+
126. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
  
127. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
+
127. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
  
128. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
  
129. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535
+
129. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
  
130. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535
+
130. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
+
131. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
  
132. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533
+
132. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
  
133. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930169.png ; $t _ { \gamma }$ ; confidence 0.533
+
133. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
  
135. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
  
136. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065510/m06551020.png ; $n _ { \Delta } = 1$ ; confidence 0.532
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $4$ ; confidence 0.531
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016039.png ; $b A$ ; confidence 0.979
  
138. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450371.png ; $\{ fd ( M )$ ; confidence 0.531
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450202.png ; $y = \psi ( z )$ ; confidence 0.979
  
139. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531
+
139. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590522.png ; $x _ { 0 } \in H$ ; confidence 0.979
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010468.png ; $P s$ ; confidence 0.529
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600223.png ; $( \alpha / \beta ) _ { n }$ ; confidence 0.979
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001064.png ; $\rho ( | A ^ { - 1 } \delta A | ) < 1$ ; confidence 0.528
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300163.png ; $\Delta _ { i } = 1$ ; confidence 0.979
  
142. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025450/c02545035.png ; $T ^ { * }$ ; confidence 0.527
+
142. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590646.png ; $x = x ( u , v )$ ; confidence 0.979
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $x$ ; confidence 0.527
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008048.png ; $+ \frac { d } { d m } \operatorname { ln } g ( R ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( R ; m , s ) = 0$ ; confidence 0.979
  
144. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116023.png ; $X$ ; confidence 0.979
  
145. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021092.png ; $w _ { 3 }$ ; confidence 0.525
+
146. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700177.png ; $H ^ { 0 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.979
  
147. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757085.png ; $z$ ; confidence 0.525
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011070/a01107011.png ; $M _ { 1 }$ ; confidence 0.979
  
148. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979
  
149. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
  
150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015025.png ; $w \in T V$ ; confidence 0.524
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121079.png ; $y _ { 1 } ( x ) = Y _ { 1 } ( x ) [ 1 + O ( \frac { 1 } { \lambda } ) ] + Y _ { 0 } ( x ) O ( \frac { 1 } { \lambda } )$ ; confidence 0.979
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100109.png ; $\overline { X } - X$ ; confidence 0.524
+
151. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540020.png ; $K = p > 0$ ; confidence 0.978
  
152. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830290.png ; $A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$ ; confidence 0.523
+
152. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045030/g04503014.png ; $\operatorname { lim } V _ { k } = k$ ; confidence 0.978
  
153. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065500/m06550014.png ; $P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$ ; confidence 0.523
+
153. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090164.png ; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021069.png ; $( - 1 / z ) d z$ ; confidence 0.522
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600157.png ; $m = 1$ ; confidence 0.978
  
155. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055047.png ; $( g , x ) \rightarrow x$ ; confidence 0.978
  
156. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
+
156. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001080.png ; $| v |$ ; confidence 0.521
+
157. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925094.png ; $| K | = 2,3$ ; confidence 0.978
  
158. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635084.png ; $a \perp b$ ; confidence 0.521
+
158. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524012.png ; $X = \sum _ { n = 1 } ^ { \infty } X _ { n } 2 ^ { - n }$ ; confidence 0.978
  
159. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973508.png ; $A = N \oplus s$ ; confidence 0.521
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
  
160. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249015.png ; $d ( p )$ ; confidence 0.978
  
161. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249054.png ; $F _ { \infty } ^ { s }$ ; confidence 0.520
+
161. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763080.png ; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978
  
162. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $T$ ; confidence 0.520
+
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
  
163. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $E X _ { k } = a$ ; confidence 0.520
+
163. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110450/c11045018.png ; $2 ^ { \lambda }$ ; confidence 0.978
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015012.png ; $F ( . | S )$ ; confidence 0.978
  
165. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e03516059.png ; $\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$ ; confidence 0.519
+
165. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137017.png ; $\phi ^ { a }$ ; confidence 0.978
  
166. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $a _ { y }$ ; confidence 0.519
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978
  
167. https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010160.png ; $R ^ { k } p \times ( F )$ ; confidence 0.519
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420119.png ; $x \in H ^ { + }$ ; confidence 0.518
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
  
169. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
  
170. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002042.png ; $( \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , \frac { q ^ { d } - 1 } { q ^ { - 1 } } , \frac { q ^ { d - 1 } - 1 } { q ^ { - 1 } } )$ ; confidence 0.517
+
171. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516
+
172. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
  
173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020021.png ; $\phi = ( \phi _ { 1 } , \ldots , \phi _ { n } )$ ; confidence 0.516
+
174. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $( 1 )$ ; confidence 0.515
+
175. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
  
176. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021550/c0215505.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } ( V )$ ; confidence 0.515
+
176. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
  
177. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515
+
177. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015420/b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514
+
178. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
  
179. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
+
179. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $\sim 2$ ; confidence 0.512
+
180. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
  
181. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009046.png ; $1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$ ; confidence 0.512
+
181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010255.png ; $\delta A = - H . | A | \cdot \operatorname { diag } ( \operatorname { sgn } ( x _ { i } ) )$ ; confidence 0.511
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
  
183. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511
+
183. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
  
184. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082150/r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007051.png ; $f ( t ) \in D _ { A ( t ) } ( \alpha , \infty )$ ; confidence 0.978
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021017.png ; $\omega = p d z , \quad \pi = q d z , \quad \alpha = \alpha ( z )$ ; confidence 0.510
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978
  
186. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510
+
186. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015085.png ; $S ( A )$ ; confidence 0.978
  
187. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260032.png ; $\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$ ; confidence 0.510
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007093.png ; $\alpha \leq 2$ ; confidence 0.978
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650122.png ; $\Omega _ { f } \cup \Omega _ { p }$ ; confidence 0.978
  
189. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $Z ^ { * }$ ; confidence 0.508
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
  
190. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110155.png ; $L _ { h } u _ { k } = f _ { k }$ ; confidence 0.508
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010069.png ; $u = u _ { f } \in D ( \Delta )$ ; confidence 0.978
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018028.png ; $\sigma > c$ ; confidence 0.508
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006019.png ; $( b ( x ) u , u ) \geq 0$ ; confidence 0.978
  
192. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $I _ { X }$ ; confidence 0.507
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978
  
193. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\pi$ ; confidence 0.507
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040176.png ; $\{ a , b \}$ ; confidence 0.977
  
194. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544031.png ; $\Phi _ { t } = id$ ; confidence 0.507
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370156.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) < 2$ ; confidence 0.977
  
195. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796016.png ; $q 2 = 6$ ; confidence 0.507
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977
  
196. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507
+
196. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120492.png ; $X ^ { \prime } = F$ ; confidence 0.977
  
197. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a0107603.png ; $\omega ( s )$ ; confidence 0.977
  
198. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l05916065.png ; $A ^ { ( 0 ) }$ ; confidence 0.506
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012041.png ; $( I - A ) v = c$ ; confidence 0.977
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450221.png ; $a T \rightarrow \infty$ ; confidence 0.506
+
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797024.png ; $\iota ^ { * } : A ^ { * } \rightarrow K$ ; confidence 0.977
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; $T ^ { 2 }$ ; confidence 0.505
+
200. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120502.png ; $\{ H , G / H ^ { 0 } \}$ ; confidence 0.977
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300103.png ; $( - ) ^ { * } : C ^ { 0 p } \rightarrow C$ ; confidence 0.505
+
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004014.png ; $H ^ { L } = \{ z \in H : \operatorname { Im } z > L \} \text { for } L > 0$ ; confidence 0.977
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530603.png ; $g = k a n$ ; confidence 0.977
  
204. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008051.png ; $P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$ ; confidence 0.505
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146087.png ; $C _ { \tau } ( X )$ ; confidence 0.977
  
205. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026014.png ; $d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$ ; confidence 0.505
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076026.png ; $s = \epsilon t$ ; confidence 0.977
  
206. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505
+
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090322.png ; $\Lambda ( V )$ ; confidence 0.977
  
207. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093340/t0933407.png ; $S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$ ; confidence 0.505
+
207. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872010.png ; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013049.png ; $k$ ; confidence 0.504
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017035.png ; $< 1$ ; confidence 0.977
  
209. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018097.png ; $x = F ( x )$ ; confidence 0.977
  
210. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180209.png ; $\varepsilon$ ; confidence 0.504
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950117.png ; $S ( X , Y ) = \nabla _ { X } Y - \nabla _ { Y } X - [ X , Y ]$ ; confidence 0.977
  
211. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796020.png ; $q 2 = 4$ ; confidence 0.504
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081034.png ; $A ^ { * } ( t )$ ; confidence 0.977
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018042.png ; $\alpha \neq - 1 , - 2 , \dots ,$ ; confidence 0.504
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010233.png ; $\lambda$ ; confidence 0.503
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420122.png ; $y \in H$ ; confidence 0.503
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
  
215. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m064590192.png ; $\alpha p$ ; confidence 0.503
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091730/s09173026.png ; $H ^ { n - k } \cap S ^ { k }$ ; confidence 0.502
+
217. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
  
218. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501
+
218. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501
+
219. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240336.png ; $Z = X \Gamma + F$ ; confidence 0.500
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
  
221. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500
+
221. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
  
222. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060185.png ; $< 2 a$ ; confidence 0.500
+
222. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
  
223. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s0901702.png ; $\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$ ; confidence 0.500
+
223. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240356.png ; $E ( Z _ { 1 } ) = 0$ ; confidence 0.500
+
224. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / MS _ { e }$ ; confidence 0.500
+
225. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210130.png ; $\Omega ( a ) = \operatorname { dim } L ( a / ( \omega ) )$ ; confidence 0.499
+
226. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
  
227. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200104.png ; $m$ ; confidence 0.499
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499
+
228. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876024.png ; $\psi _ { k i } ( e ) = \delta _ { k i }$ ; confidence 0.977
  
229. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097290/w09729017.png ; $A _ { n } ( x _ { 0 } )$ ; confidence 0.499
+
229. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977
  
230. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c02229022.png ; $+ \frac { 1 } { 2 } \sum _ { 0 < u \leq \sqrt { x / 3 } } ( [ \sqrt { x - 2 u ^ { 2 } } ] - u ) + O ( \sqrt { x } )$ ; confidence 0.498
+
230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590223.png ; $( U ^ { n } ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.977
  
231. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380172.png ; $C ( S ^ { n } )$ ; confidence 0.498
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016081.png ; $A V i / P = x$ ; confidence 0.977
  
232. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051040/i05104010.png ; $3 a$ ; confidence 0.497
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060118.png ; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977
  
233. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497
+
233. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977
  
234. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497
+
234. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700197.png ; $H ^ { 2 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.977
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240445.png ; $y _ { 1 } , \dots , y _ { p }$ ; confidence 0.497
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086014.png ; $x ( \phi ) = x ( \phi )$ ; confidence 0.977
  
236. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022920/c02292049.png ; $\operatorname { lm } c _ { 3 } = 0$ ; confidence 0.496
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014042.png ; $X \geq 3$ ; confidence 0.977
  
237. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; $74$ ; confidence 0.496
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016048.png ; $g ( W )$ ; confidence 0.977
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031042.png ; $k$ ; confidence 0.496
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100204.png ; $D = k$ ; confidence 0.495
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600257.png ; $A _ { 1 } / L _ { 1 }$ ; confidence 0.977
  
240. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490127.png ; $\frac { d z } { d t } = - A ( t ) ^ { * } Z$ ; confidence 0.495
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120383.png ; $F ^ { * } ( z )$ ; confidence 0.977
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495
+
241. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
  
242. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007091.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } +$ ; confidence 0.977
  
243. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003082.png ; $M ( E ) = \vec { X }$ ; confidence 0.493
+
243. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820148.png ; $F \mapsto C ( F ; A )$ ; confidence 0.977
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110054.png ; $A _ { 1 }$ ; confidence 0.977
  
245. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052000/i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041082.png ; $\tau > n / 2 + 1$ ; confidence 0.977
  
246. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070118.png ; $Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$ ; confidence 0.491
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130054.png ; $M ( k )$ ; confidence 0.977
  
247. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022045.png ; $\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$ ; confidence 0.491
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018012.png ; $1$ ; confidence 0.977
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020026.png ; $D ( \phi ) = D ( \phi _ { 1 } ) \ldots D ( \phi _ { n } ) = D ( \psi _ { 1 } ) \ldots D ( \psi _ { m } ) = D ( \psi )$ ; confidence 0.490
+
248. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316409.png ; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022036.png ; $\sigma _ { ess } ( T )$ ; confidence 0.490
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
  
250. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n0679601.png ; $12$ ; confidence 0.490
+
250. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451089.png ; $( S , \operatorname { Pic } X / S )$ ; confidence 0.976
  
251. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081094.png ; $\lambda , \mu$ ; confidence 0.976
  
253. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023050.png ; $G ( u )$ ; confidence 0.489
+
253. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859082.png ; $\operatorname { exp } X = \sum _ { m = 0 } ^ { \infty } \frac { 1 } { m ! } X ^ { m }$ ; confidence 0.976
  
254. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020102.png ; $V \not \equiv W$ ; confidence 0.489
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976
  
255. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544062.png ; $d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$ ; confidence 0.489
+
255. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976
  
256. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024033.png ; $h ^ { S * } ( . ) \approx \overline { E } \times ( . )$ ; confidence 0.489
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006055.png ; $\partial ( I )$ ; confidence 0.976
  
257. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092720/t09272013.png ; $\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$ ; confidence 0.489
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010184.png ; $| \hat { \lambda } - \lambda |$ ; confidence 0.488
+
258. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851030.png ; $\mathfrak { g } _ { \alpha } = \{ X \in \mathfrak { g } : [ H , X ] = \alpha ( H ) X , H \in \mathfrak { h } \}$ ; confidence 0.976
  
259. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002046.png ; $= \operatorname { min } _ { k \in P } c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } )$ ; confidence 0.488
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062025.png ; $R = \infty$ ; confidence 0.976
  
260. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346022.png ; $\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$ ; confidence 0.488
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030030.png ; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976
  
261. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240749.png ; $\prod x$ ; confidence 0.487
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
  
262. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $d \in C$ ; confidence 0.487
+
262. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
  
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090342.png ; $\left( \begin{array} { c } { h } \\ { i } \end{array} \right) = \frac { h ( h - 1 ) \ldots ( h - i + 1 ) } { i ! }$ ; confidence 0.487
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021098.png ; $\sum _ { k = 1 } ^ { g } ( A _ { k } B _ { k } ^ { \prime } - B _ { k } A _ { k } ^ { \prime } ) = 2 \pi i \sum _ { j = 1 } ^ { N } c _ { j } \int _ { L _ { j } } \omega _ { 1 }$ ; confidence 0.487
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010189.png ; $i = 1 , \dots , n$ ; confidence 0.485
+
265. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240308.png ; $\hat { \eta } _ { \Omega } = X \hat { \beta }$ ; confidence 0.485
+
266. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
  
267. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485
+
267. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
  
268. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $x$ ; confidence 0.485
+
268. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010111.png ; $p < m$ ; confidence 0.484
+
269. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
  
270. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018075.png ; $A ( \vec { G } )$ ; confidence 0.484
+
270. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
  
271. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092250/t09225012.png ; $g ^ { ( i ) }$ ; confidence 0.484
+
271. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010266.png ; $2$ ; confidence 0.484
+
272. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
  
273. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483
+
273. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976
  
274. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092240/t0922406.png ; $k = R / m$ ; confidence 0.483
+
274. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240311.png ; $\hat { \eta } _ { i j } = y _ { i j }$ ; confidence 0.483
+
275. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
  
276. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237023.png ; $N = L . L$ ; confidence 0.482
+
276. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052410/i05241032.png ; $y = Arc$ ; confidence 0.482
+
277. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240123.png ; $i = 1,2 , \dots$ ; confidence 0.482
+
278. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240519.png ; $Z _ { 13 }$ ; confidence 0.481
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040081.png ; $x ^ { * } \in ( X ^ { \odot } ) ^ { d }$ ; confidence 0.976
  
280. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560136.png ; $P Q = P \times Q$ ; confidence 0.481
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116032.png ; $X ( k )$ ; confidence 0.976
  
281. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450204.png ; $\theta _ { T } ^ { * }$ ; confidence 0.481
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240501.png ; $9$ ; confidence 0.481
+
282. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976
  
283. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $X \times F$ ; confidence 0.480
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160051.png ; $K \rightarrow R$ ; confidence 0.976
  
284. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110130/k11013020.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.480
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018023.png ; $\lambda | > 1$ ; confidence 0.976
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017032.png ; $< 0$ ; confidence 0.976
  
286. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055910/k05591019.png ; $\sum _ { j = 1 } ^ { n } b _ { j } r j \in Z$ ; confidence 0.479
+
286. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820100.png ; $Z \rightarrow A$ ; confidence 0.976
  
287. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a01097016.png ; $e _ { 1 } , e _ { 2 } , e _ { 3 }$ ; confidence 0.976
  
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $18$ ; confidence 0.479
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.976
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010236.png ; $\hat { \lambda }$ ; confidence 0.479
+
289. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021066.png ; $\omega 1,2$ ; confidence 0.479
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004061.png ; $h ( \varphi )$ ; confidence 0.976
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021054.png ; $a - x \neq 0$ ; confidence 0.478
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370155.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) \leq 2$ ; confidence 0.976
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024019.png ; $y$ ; confidence 0.478
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876065.png ; $\phi ( b )$ ; confidence 0.975
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
  
294. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544022.png ; $O ( \epsilon _ { N } )$ ; confidence 0.478
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } R$ ; confidence 0.975
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064014.png ; $\Omega$ ; confidence 0.477
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013032.png ; $\phi$ ; confidence 0.476
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150013.png ; $\theta$ ; confidence 0.975
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476
+
297. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975
  
298. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
  
299. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476
+
299. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055170/k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240305.png ; $4$ ; confidence 0.475
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058017.png ; $y ^ { \prime } = - a y$ ; confidence 0.975

Latest revision as of 09:58, 17 October 2019

List

1. u09541025.png ; $U _ { n } ( k )$ ; confidence 0.982

2. a01029059.png ; $\pi x$ ; confidence 0.982

3. a01121039.png ; $z ^ { 1 / 4 }$ ; confidence 0.982

4. a011380177.png ; $\{ x \vee y , x \}$ ; confidence 0.982

5. a01081067.png ; $U _ { k } ( y ) \equiv \sum _ { p = 1 } ^ { n } [ \alpha _ { k p } y ^ { ( p - 1 ) } ( t _ { 0 } ) + \beta _ { k p } y ^ { ( p - 1 ) } ( t _ { 1 } ) ]$ ; confidence 0.982

6. a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982

7. a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982

8. a01137037.png ; $f \in C ( X )$ ; confidence 0.982

9. a01160024.png ; $x + y \sqrt { D }$ ; confidence 0.981

10. d03164028.png ; $( F , V )$ ; confidence 0.981

11. a011600196.png ; $K / k$ ; confidence 0.981

12. a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981

13. a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981

14. a11010021.png ; $C ( X )$ ; confidence 0.981

15. a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981

16. l05876017.png ; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981

17. a12007066.png ; $C _ { 2 } > 0$ ; confidence 0.981

18. a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981

19. a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981

20. g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981

21. a11041069.png ; $u , v > 0$ ; confidence 0.981

22. a01052067.png ; $\eta ^ { \prime } = f _ { y } ( x , y ) \eta + S$ ; confidence 0.981

23. a12012059.png ; $x > 0$ ; confidence 0.981

24. a13013075.png ; $( g )$ ; confidence 0.981

25. a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981

26. a110010117.png ; $A x = b$ ; confidence 0.981

27. b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981

28. b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981

29. b01735065.png ; $K$ ; confidence 0.981

30. b120440103.png ; $R [ H \times H$ ; confidence 0.981

31. c02604027.png ; $P Q$ ; confidence 0.981

32. d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981

33. d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981

34. d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981

35. d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981

36. e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981

37. f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981

38. g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981

39. h04825025.png ; $O A M$ ; confidence 0.981

40. i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981

41. i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981

42. l12006027.png ; $\phi \in H$ ; confidence 0.981

43. m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981

44. m06544030.png ; $E = \{ e \}$ ; confidence 0.981

45. r08155085.png ; $\psi d z$ ; confidence 0.981

46. t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981

47. a01160018.png ; $D > 1$ ; confidence 0.981

48. a011370108.png ; $f ( x _ { 1 } ) \neq f ( x _ { 2 } )$ ; confidence 0.981

49. a12006022.png ; $R ^ { p }$ ; confidence 0.981

50. a120160131.png ; $R = r _ { 1 } ( X _ { 1 } ) + r _ { 2 } ( X _ { 2 } ) - r _ { 12 } ( X _ { 12 } )$ ; confidence 0.981

51. a01417027.png ; $e ^ { 2 \pi i z }$ ; confidence 0.981

52. s08559036.png ; $z = \phi _ { 2 } ( t )$ ; confidence 0.981

53. a011640132.png ; $0 \rightarrow O _ { V } \rightarrow E _ { \alpha } \rightarrow T _ { V } \rightarrow 0$ ; confidence 0.981

54. s13004017.png ; $\infty \in H ^ { * }$ ; confidence 0.981

55. g1300202.png ; $\operatorname { log } \alpha$ ; confidence 0.981

56. a0107601.png ; $\frac { d x } { d t } = v , \quad \frac { d v } { d t } = - \omega ^ { 2 } ( \epsilon t ) x$ ; confidence 0.981

57. a01018012.png ; $z - b | > R$ ; confidence 0.981

58. a01149045.png ; $f _ { 0 } ^ { j } ( x _ { 0 } ) = y _ { 0 } ^ { j } , \quad F ( x , f _ { 0 } ^ { j } ( x ) ) = 0$ ; confidence 0.981

59. a12017031.png ; $\lambda ^ { * } > 0$ ; confidence 0.981

60. l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980

61. a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980

62. a01150012.png ; $( x , \sqrt { f ( x ) } ) \oplus ( c , \sqrt { f ( c ) } ) = ( y , \sqrt { f ( y ) } )$ ; confidence 0.980

63. a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980

64. a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980

65. f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980

66. a12024051.png ; $p \geq 0$ ; confidence 0.980

67. a110010214.png ; $x ^ { i }$ ; confidence 0.980

68. a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980

69. a01082016.png ; $H _ { G }$ ; confidence 0.980

70. a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980

71. a01145045.png ; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980

72. a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980

73. a13024015.png ; $n > m$ ; confidence 0.980

74. a130240220.png ; $n \times n$ ; confidence 0.980

75. c12016016.png ; $j = 1 : n$ ; confidence 0.980

76. c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980

77. c023380197.png ; $F \subset U$ ; confidence 0.980

78. d120020174.png ; $( US )$ ; confidence 0.980

79. d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980

80. d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980

81. h0482005.png ; $Z = 1$ ; confidence 0.980

82. h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980

83. l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980

84. m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980

85. p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980

86. r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980

87. s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980

88. s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980

89. s12032058.png ; $S ( L )$ ; confidence 0.980

90. t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980

91. w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980

92. w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980

93. a01012014.png ; $( h \neq 0 )$ ; confidence 0.980

94. a12008025.png ; $V = H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.980

95. a130070128.png ; $k > 8$ ; confidence 0.980

96. d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980

97. a130050236.png ; $q > 1$ ; confidence 0.980

98. a11070038.png ; $p \geq 2$ ; confidence 0.980

99. a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980

100. a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980

101. a13018021.png ; $\Gamma \subseteq \Delta$ ; confidence 0.980

102. a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980

103. f04055042.png ; $F ( 1 ) ( V )$ ; confidence 0.980

104. a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980

105. a110220113.png ; $f \in L ^ { 1 } ( H , m )$ ; confidence 0.980

106. a12011026.png ; $T ( i , 0 ) = 0 \text { for } i \geq 1 , T ( i , 1 ) = 2 \text { for } i \geq 1$ ; confidence 0.980

107. w09759045.png ; $E ( Q )$ ; confidence 0.980

108. a01081080.png ; $n - k$ ; confidence 0.980

109. a13012015.png ; $t > 4$ ; confidence 0.980

110. h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980

111. a11049020.png ; $F \in F _ { D }$ ; confidence 0.980

112. a12007062.png ; $A ( 0 ) u _ { 0 } \in D _ { A ( 0 ) } ( \alpha , \infty )$ ; confidence 0.979

113. d0316408.png ; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979

114. a011640116.png ; $p _ { 12 } > 1$ ; confidence 0.979

115. a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979

116. a110010146.png ; $( A )$ ; confidence 0.979

117. e03696032.png ; $F _ { 0 } \subset F$ ; confidence 0.979

118. a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979

119. a01137078.png ; $f _ { 1 } ( x ) + \ldots + f _ { n } ( x ) \equiv 1$ ; confidence 0.979

120. g1300205.png ; $\alpha ^ { \beta } = \operatorname { exp } \{ \beta \operatorname { log } \alpha \}$ ; confidence 0.979

121. a13008075.png ; $c _ { n } = \frac { 1 } { \sqrt { n } B ( \frac { n } { 2 } , \frac { 1 } { 2 } ) } = \frac { \Gamma ( \frac { n + 1 } { 2 } ) } { \sqrt { n \pi } \Gamma ( \frac { n } { 2 } ) }$ ; confidence 0.979

122. a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979

123. b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979

124. b01616036.png ; $0 < c < 1$ ; confidence 0.979

125. d03379012.png ; $D \backslash K$ ; confidence 0.979

126. g043810238.png ; $x u = 0$ ; confidence 0.979

127. l05866027.png ; $G \subset N ( F )$ ; confidence 0.979

128. l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979

129. n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979

130. n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979

131. p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979

132. r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979

133. r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979

134. s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979

135. s09076071.png ; $l [ f ] = 0$ ; confidence 0.979

136. t1301005.png ; $\square _ { H } T$ ; confidence 0.979

137. a12016039.png ; $b A$ ; confidence 0.979

138. a011450202.png ; $y = \psi ( z )$ ; confidence 0.979

139. s085590522.png ; $x _ { 0 } \in H$ ; confidence 0.979

140. a011600223.png ; $( \alpha / \beta ) _ { n }$ ; confidence 0.979

141. a011300163.png ; $\Delta _ { i } = 1$ ; confidence 0.979

142. s085590646.png ; $x = x ( u , v )$ ; confidence 0.979

143. a13008048.png ; $+ \frac { d } { d m } \operatorname { ln } g ( R ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( R ; m , s ) = 0$ ; confidence 0.979

144. a01116023.png ; $X$ ; confidence 0.979

145. a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979

146. d030700177.png ; $H ^ { 0 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.979

147. a01107011.png ; $M _ { 1 }$ ; confidence 0.979

148. a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979

149. a010210121.png ; $\Omega ( a )$ ; confidence 0.979

150. a01121079.png ; $y _ { 1 } ( x ) = Y _ { 1 } ( x ) [ 1 + O ( \frac { 1 } { \lambda } ) ] + Y _ { 0 } ( x ) O ( \frac { 1 } { \lambda } )$ ; confidence 0.979

151. u09540020.png ; $K = p > 0$ ; confidence 0.978

152. g04503014.png ; $\operatorname { lim } V _ { k } = k$ ; confidence 0.978

153. w120090164.png ; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978

154. a011600157.png ; $m = 1$ ; confidence 0.978

155. a01055047.png ; $( g , x ) \rightarrow x$ ; confidence 0.978

156. h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978

157. l05925094.png ; $| K | = 2,3$ ; confidence 0.978

158. u09524012.png ; $X = \sum _ { n = 1 } ^ { \infty } X _ { n } 2 ^ { - n }$ ; confidence 0.978

159. a010210133.png ; $g = 1$ ; confidence 0.978

160. d03249015.png ; $d ( p )$ ; confidence 0.978

161. r07763080.png ; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978

162. t12001048.png ; $( S , g )$ ; confidence 0.978

163. c11045018.png ; $2 ^ { \lambda }$ ; confidence 0.978

164. a11015012.png ; $F ( . | S )$ ; confidence 0.978

165. r08137017.png ; $\phi ^ { a }$ ; confidence 0.978

166. a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978

167. a11042078.png ; $4$ ; confidence 0.978

168. a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978

169. a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978

170. a11068076.png ; $\alpha \geq b$ ; confidence 0.978

171. b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978

172. b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978

173. c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978

174. c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978

175. d03087032.png ; $\pi ( \chi )$ ; confidence 0.978

176. g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978

177. h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978

178. m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978

179. m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978

180. p07540018.png ; $F \subset G$ ; confidence 0.978

181. s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978

182. s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978

183. u09541052.png ; $g ^ { p } = e$ ; confidence 0.978

184. a12007051.png ; $f ( t ) \in D _ { A ( t ) } ( \alpha , \infty )$ ; confidence 0.978

185. a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978

186. f11015085.png ; $S ( A )$ ; confidence 0.978

187. a13007093.png ; $\alpha \leq 2$ ; confidence 0.978

188. a011650122.png ; $\Omega _ { f } \cup \Omega _ { p }$ ; confidence 0.978

189. a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978

190. a12010069.png ; $u = u _ { f } \in D ( \Delta )$ ; confidence 0.978

191. a12006019.png ; $( b ( x ) u , u ) \geq 0$ ; confidence 0.978

192. a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978

193. a130040176.png ; $\{ a , b \}$ ; confidence 0.977

194. a011370156.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) < 2$ ; confidence 0.977

195. a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977

196. d034120492.png ; $X ^ { \prime } = F$ ; confidence 0.977

197. a0107603.png ; $\omega ( s )$ ; confidence 0.977

198. a12012041.png ; $( I - A ) v = c$ ; confidence 0.977

199. h04797024.png ; $\iota ^ { * } : A ^ { * } \rightarrow K$ ; confidence 0.977

200. d034120502.png ; $\{ H , G / H ^ { 0 } \}$ ; confidence 0.977

201. s13004014.png ; $H ^ { L } = \{ z \in H : \operatorname { Im } z > L \} \text { for } L > 0$ ; confidence 0.977

202. a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977

203. i0530603.png ; $g = k a n$ ; confidence 0.977

204. a01146087.png ; $C _ { \tau } ( X )$ ; confidence 0.977

205. a01076026.png ; $s = \epsilon t$ ; confidence 0.977

206. w120090322.png ; $\Lambda ( V )$ ; confidence 0.977

207. l05872010.png ; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977

208. a12017035.png ; $< 1$ ; confidence 0.977

209. a12018097.png ; $x = F ( x )$ ; confidence 0.977

210. a010950117.png ; $S ( X , Y ) = \nabla _ { X } Y - \nabla _ { Y } X - [ X , Y ]$ ; confidence 0.977

211. a01081034.png ; $A ^ { * } ( t )$ ; confidence 0.977

212. a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977

213. a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977

214. a01164040.png ; $q ( V )$ ; confidence 0.977

215. a110680125.png ; $p / p$ ; confidence 0.977

216. a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977

217. k12003040.png ; $E = \emptyset$ ; confidence 0.977

218. l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977

219. m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977

220. m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977

221. s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977

222. t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977

223. u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977

224. v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977

225. w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977

226. z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977

227. f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977

228. l05876024.png ; $\psi _ { k i } ( e ) = \delta _ { k i }$ ; confidence 0.977

229. g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977

230. s085590223.png ; $( U ^ { n } ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.977

231. a12016081.png ; $A V i / P = x$ ; confidence 0.977

232. a130060118.png ; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977

233. s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977

234. d030700197.png ; $H ^ { 2 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.977

235. a01086014.png ; $x ( \phi ) = x ( \phi )$ ; confidence 0.977

236. a13014042.png ; $X \geq 3$ ; confidence 0.977

237. a12016048.png ; $g ( W )$ ; confidence 0.977

238. a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977

239. a011600257.png ; $A _ { 1 } / L _ { 1 }$ ; confidence 0.977

240. d034120383.png ; $F ^ { * } ( z )$ ; confidence 0.977

241. b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977

242. a12007091.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } +$ ; confidence 0.977

243. f040820148.png ; $F \mapsto C ( F ; A )$ ; confidence 0.977

244. a01110054.png ; $A _ { 1 }$ ; confidence 0.977

245. a11041082.png ; $\tau > n / 2 + 1$ ; confidence 0.977

246. a01130054.png ; $M ( k )$ ; confidence 0.977

247. a13018012.png ; $1$ ; confidence 0.977

248. d0316409.png ; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976

249. a01018052.png ; $\beta > 0$ ; confidence 0.976

250. m06451089.png ; $( S , \operatorname { Pic } X / S )$ ; confidence 0.976

251. a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976

252. a01081094.png ; $\lambda , \mu$ ; confidence 0.976

253. l05859082.png ; $\operatorname { exp } X = \sum _ { m = 0 } ^ { \infty } \frac { 1 } { m ! } X ^ { m }$ ; confidence 0.976

254. a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976

255. s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976

256. a13006055.png ; $\partial ( I )$ ; confidence 0.976

257. a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976

258. l05851030.png ; $\mathfrak { g } _ { \alpha } = \{ X \in \mathfrak { g } : [ H , X ] = \alpha ( H ) X , H \in \mathfrak { h } \}$ ; confidence 0.976

259. d03062025.png ; $R = \infty$ ; confidence 0.976

260. a11030030.png ; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976

261. a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976

262. c11041079.png ; $A ^ { * } B$ ; confidence 0.976

263. d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976

264. d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976

265. f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976

266. f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976

267. g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976

268. i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976

269. l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976

270. l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976

271. n06764043.png ; $\Omega _ { X }$ ; confidence 0.976

272. p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976

273. s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976

274. t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976

275. t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976

276. u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976

277. w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976

278. y11001021.png ; $J ( \phi )$ ; confidence 0.976

279. a11040081.png ; $x ^ { * } \in ( X ^ { \odot } ) ^ { d }$ ; confidence 0.976

280. a01116032.png ; $X ( k )$ ; confidence 0.976

281. a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976

282. g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976

283. a01160051.png ; $K \rightarrow R$ ; confidence 0.976

284. a12018023.png ; $\lambda | > 1$ ; confidence 0.976

285. a12017032.png ; $< 0$ ; confidence 0.976

286. f040820100.png ; $Z \rightarrow A$ ; confidence 0.976

287. a01097016.png ; $e _ { 1 } , e _ { 2 } , e _ { 3 }$ ; confidence 0.976

288. a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.976

289. d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976

290. a13004061.png ; $h ( \varphi )$ ; confidence 0.976

291. a011370155.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) \leq 2$ ; confidence 0.976

292. l05876065.png ; $\phi ( b )$ ; confidence 0.975

293. a130240186.png ; $b$ ; confidence 0.975

294. s13054091.png ; $K _ { 2 } R$ ; confidence 0.975

295. a120310115.png ; $G$ ; confidence 0.975

296. a01150013.png ; $\theta$ ; confidence 0.975

297. r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975

298. a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975

299. k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975

300. a01058017.png ; $y ^ { \prime } = - a y$ ; confidence 0.975

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/10. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/10&oldid=43871