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(AUTOMATIC EDIT of page 14 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 14 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102403.png ; $Z , W$ ; confidence 0.401
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601
  
2. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
+
2. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084049.png ; $X$ ; confidence 0.601
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018031.png ; $A _ { x } = \alpha _ { 1 } + \ldots + \alpha _ { x }$ ; confidence 0.399
+
3. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601
  
4. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060090/l060090100.png ; $\operatorname { dim } Z \cap \overline { S _ { k + q + 1 } } ( F | _ { X \backslash Z } ) \leq k$ ; confidence 0.399
+
4. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150393.png ; $\{ p _ { i } ^ { - 1 } U _ { i } : U _ { i } \in \mu _ { i \square } \text { and } i \in I \}$ ; confidence 0.601
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004099.png ; $\psi \in S$ ; confidence 0.398
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021086.png ; $P$ ; confidence 0.601
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104209.png ; $\{ X _ { n } \}$ ; confidence 0.398
+
6. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704077.png ; $\lambda < \alpha$ ; confidence 0.600
  
7. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052150/i0521507.png ; $\forall x ( P ( x ) \vee \neg P ( x ) ) \wedge \neg \neg \neg x P ( x ) \supset \exists x P ( x )$ ; confidence 0.397
+
7. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $\delta \varepsilon$ ; confidence 0.600
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $X = H$ ; confidence 0.599
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
+
9. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870106.png ; $e _ { i } = \partial / \partial x ^ { i } | _ { p }$ ; confidence 0.599
  
10. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240183.png ; $\eta i$ ; confidence 0.599
  
11. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081560/r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040168.png ; $h : F m \rightarrow A$ ; confidence 0.599
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021070.png ; $P _ { 2 }$ ; confidence 0.396
+
12. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104082.png ; $- w$ ; confidence 0.598
  
13. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
+
13. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i051410114.png ; $\alpha ( \lambda ) = \alpha _ { - } ( \lambda ) \alpha _ { + } ( \lambda )$ ; confidence 0.598
  
14. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021073.png ; $P _ { 1 } , \ldots , P _ { n }$ ; confidence 0.597
  
15. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008028.png ; $P _ { n } ( f ) = \int _ { S } f d P _ { n } = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } f ( X _ { i } )$ ; confidence 0.394
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050224.png ; $\sum _ { n \leq x } G ( n ) = A _ { G } x ^ { \delta } + O ( x ^ { \eta } ) \text { as } x \rightarrow \infty$ ; confidence 0.597
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012057.png ; $k = 0,1 , \ldots ,$ ; confidence 0.393
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028033.png ; $u w \in E ( D )$ ; confidence 0.597
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040281.png ; $X \rightarrow y$ ; confidence 0.392
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200606.png ; $\alpha ; ( x )$ ; confidence 0.597
  
18. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093570/t0935701.png ; $x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$ ; confidence 0.391
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240315.png ; $SS _ { e } = y ^ { \prime } ( I _ { n } - X ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } ) y$ ; confidence 0.596
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010194.png ; $\hat { \lambda } I - A - \delta A = ( \hat { \lambda } I - A ) [ I - ( \hat { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.391
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240193.png ; $\hat { \psi } = c ^ { \prime } \hat { \beta }$ ; confidence 0.596
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040181.png ; $\alpha \in G$ ; confidence 0.390
+
20. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001086.png ; $\| \delta x \| = \| A ^ { - 1 } B ^ { - 1 } B N \| =$ ; confidence 0.390
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240306.png ; $SS _ { e } = \| y - \hat { \eta } _ { \Omega } \| ^ { 2 }$ ; confidence 0.596
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001061.png ; $| \delta b | \leq \epsilon | b |$ ; confidence 0.389
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040250.png ; $c = \square ^ { t } ( c _ { 1 } , \dots , c _ { k + m } ) \in C ^ { k + m }$ ; confidence 0.596
  
23. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780377.png ; $1 B S G$ ; confidence 0.389
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008014.png ; $c _ { X } > 0$ ; confidence 0.595
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595
  
25. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233041.png ; $r : h \rightarrow f ( x _ { 0 } + h ) - f ( x _ { 0 } ) - h _ { 0 } ( h )$ ; confidence 0.388
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030019.png ; $T V$ ; confidence 0.595
  
26. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200601.png ; $\left. \begin{array} { c } { \frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( x ) \frac { \partial u } { \partial x _ { j } } + c ( x ) u = f ( x , t ) } \\ { ( x , t ) \in \Omega \times [ 0 , T ] } \\ { u ( x , 0 ) = u _ { 0 } ( x ) , \quad x \in \Omega } \end{array} \right.$ ; confidence 0.387
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016035.png ; $\kappa ( A ) = \frac { \lambda _ { \operatorname { max } } } { \lambda _ { \operatorname { min } } }$ ; confidence 0.594
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006018.png ; $P _ { B }$ ; confidence 0.385
+
27. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d032890165.png ; $\operatorname { li } x / \phi ( d )$ ; confidence 0.594
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a1106409.png ; $S U N$ ; confidence 0.385
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020086.png ; $\coprod _ { i \in I } U _ { i } , \quad U _ { i } = U$ ; confidence 0.594
  
29. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015016.png ; $\alpha ( t ) = \alpha ( S ) t , \quad t \geq 0$ ; confidence 0.593
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024066.png ; $y _ { i j k } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j } + e _ { j k }$ ; confidence 0.384
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013067.png ; $C [ t ] = C [ t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.593
  
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240399.png ; $X _ { 3 }$ ; confidence 0.593
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240194.png ; $8$ ; confidence 0.593
  
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
+
33. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007096.png ; $B _ { j } ( t , x , D _ { x } ) u = 0 , \text { on } [ 0 , T ] \times \partial \Omega , j = 1 , \ldots , m$ ; confidence 0.592
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013023.png ; $= \operatorname { exp } ( x P _ { 0 } z + \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { r } ) g ( z ) . . \operatorname { exp } ( - x P _ { 0 } z - \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { \gamma } )$ ; confidence 0.382
+
35. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592
  
36. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050970/i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035029.png ; $\phi \lambda$ ; confidence 0.592
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010222.png ; $E$ ; confidence 0.382
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200607.png ; $j = 1 , \ldots , m$ ; confidence 0.591
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010196.png ; $( \hat { \lambda } I - A ) ^ { - 1 } = T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 }$ ; confidence 0.382
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046064.png ; $x , h \in X$ ; confidence 0.382
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040405.png ; $P _ { U } K$ ; confidence 0.381
+
40. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
  
41. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
+
41. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012029.png ; $| \lambda _ { X } | \leq ( n + 1 ) ^ { \alpha - 1 }$ ; confidence 0.381
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a0106802.png ; $a _ { i } \geq 0$ ; confidence 0.591
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033016.png ; $\beta _ { y }$ ; confidence 0.380
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010226.png ; $\| E _ { z } \|$ ; confidence 0.590
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021055.png ; $a - 1$ ; confidence 0.380
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013095.png ; $12$ ; confidence 0.590
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $\approx 3$ ; confidence 0.590
  
46. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $X \subset Y$ ; confidence 0.590
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040213.png ; $^ { * } S \text { s } 5$ ; confidence 0.380
+
47. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060290/l06029012.png ; $\left. \begin{array} { c c c } { R } & { \stackrel { \pi _ { 2 } \mu } { \rightarrow } } & { B } \\ { \pi _ { 1 } \mu \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { \alpha } } & { C } \end{array} \right.$ ; confidence 0.590
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020088.png ; $\phi \gamma$ ; confidence 0.380
+
48. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072460/p07246025.png ; $S \square ^ { * }$ ; confidence 0.590
  
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010240.png ; $( \pi , x )$ ; confidence 0.590
  
50. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635060.png ; $\left. \begin{array} { l l l } { \alpha _ { 1 } } & { \alpha _ { 2 } } & { \alpha _ { 3 } } \\ { b _ { 1 } } & { b _ { 2 } } & { b _ { 3 } } \\ { c _ { 1 } } & { c _ { 2 } } & { c _ { 3 } } \end{array} \right| = 0$ ; confidence 0.378
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010225.png ; $| \delta \lambda _ { i } | \leq \frac { \| E _ { i } \| \| \delta A \| } { 1 - \| \delta A \| \sum _ { k \neq i } \frac { \| E _ { i } \| + \| E _ { k } \| } { | \lambda _ { i } - \lambda _ { k } | } }$ ; confidence 0.590
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
51. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016470/b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340103.png ; $\gamma$ ; confidence 0.589
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010246.png ; $( A - \hat { \lambda } I ) x ^ { ( i + 1 ) } = x ^ { ( i ) } , \quad i = 1 , \ldots , n$ ; confidence 0.376
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007037.png ; $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 11,3 ^ { 5 } \cdot 5 ^ { 2 } \cdot 13,3 ^ { 4 } \cdot 5 ^ { 2 } \cdot 13 ^ { 2 } , 3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 13 ^ { 2 }$ ; confidence 0.589
  
54. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052041.png ; $A _ { x } + 1 = A _ { x } + a _ { x } , \quad n = 1 , \ldots , N - 1$ ; confidence 0.589
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.374
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040183.png ; $p : \tilde { A } \rightarrow K \subset P ^ { 3 }$ ; confidence 0.589
  
56. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035027.png ; $\psi _ { \mu } ^ { ( x , y ) } ( t )$ ; confidence 0.588
  
57. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k055850103.png ; $D _ { \alpha }$ ; confidence 0.374
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
+
58. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588
  
59. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024036.png ; $N ( 0 , \Sigma )$ ; confidence 0.587
  
60. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240307.png ; $SS _ { H } = \| \hat { \eta } _ { \Omega } - \hat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010139.png ; $i = 1 , \dots , r$ ; confidence 0.372
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $p | D _ { i }$ ; confidence 0.587
  
62. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302096.png ; $\beta _ { k } q _ { k + 1 } = A q _ { k } - \beta _ { k - 1 } q _ { k - 1 } - \alpha _ { k } q _ { k k }$ ; confidence 0.371
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024021.png ; $E ( y ) = X \beta$ ; confidence 0.586
  
63. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s0870309.png ; $f _ { h } \in U _ { k }$ ; confidence 0.371
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006077.png ; $\left\{ \begin{array} { l } { \frac { d u } { d t } + A ( t , u ) u = f ( t , u ) , \quad t \in [ 0 , T ] } \\ { u ( 0 ) = u _ { 0 } } \end{array} \right.$ ; confidence 0.586
  
64. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033020.png ; $U _ { j } ^ { * * }$ ; confidence 0.586
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040452.png ; $\psi _ { 0 } , \ldots , \psi _ { n - 1 } \vDash _ { K } \varphi$ ; confidence 0.369
+
65. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057560/l05756010.png ; $E = \frac { m } { 2 } ( \dot { x } \square _ { 1 } ^ { 2 } + \dot { x } \square _ { 2 } ^ { 2 } + \dot { x } \square _ { 3 } ^ { 2 } ) + \frac { \kappa } { r }$ ; confidence 0.586
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a0102104.png ; $a _ { 1 } b _ { 1 } \ldots a _ { 8 } b _ { 8 }$ ; confidence 0.369
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050260.png ; $\pi _ { C } ^ { \# } ( x ) = \sum _ { n \leq x } P _ { C } ^ { \# } ( n )$ ; confidence 0.369
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240164.png ; $\eta = E ( y )$ ; confidence 0.586
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in C$ ; confidence 0.369
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040243.png ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029055.png ; $\overline { a } X = \beta a X = \alpha \beta X$ ; confidence 0.369
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040113.png ; $a + 1$ ; confidence 0.585
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010168.png ; $\hat { k } ( \alpha + \beta )$ ; confidence 0.369
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004082.png ; $\Lambda \times \Lambda \rightarrow Z$ ; confidence 0.584
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010206.png ; $z \leq | ( \hat { \lambda } I - \Lambda ) ^ { - 1 } | | T ^ { - 1 } | | \delta A | | T | z |$ ; confidence 0.368
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012077.png ; $\langle x _ { t } , y _ { t } , c _ { t } \rangle$ ; confidence 0.584
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050124.png ; $Z ( t , u )$ ; confidence 0.368
+
74. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103302.png ; $DT ( S )$ ; confidence 0.583
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012023.png ; $A _ { r } ^ { \alpha }$ ; confidence 0.368
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002044.png ; $GF ( q ^ { d + 1 } )$ ; confidence 0.583
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010113.png ; $\delta b = H . | b$ ; confidence 0.368
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240108.png ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t ^ { 2 } + e _ { i }$ ; confidence 0.583
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
+
77. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017280/b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582
  
78. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
+
78. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
  
79. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040592.png ; $S _ { P }$ ; confidence 0.582
  
80. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012018.png ; $B = 1$ ; confidence 0.582
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040410.png ; $Mod ^ { * } L D = Mod ^ { * } S _ { D }$ ; confidence 0.366
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040245.png ; $x \approx y = | \operatorname { K } K ( E ( x , y ) ) \approx L ( E ( x , y ) )$ ; confidence 0.366
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022067.png ; $m$ ; confidence 0.365
+
83. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012076.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } \alpha _ { \nu _ { k } } z ^ { \nu _ { k } }$ ; confidence 0.364
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050256.png ; $P _ { C } ^ { \# } ( n )$ ; confidence 0.581
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010286.png ; $( \hat { \lambda } B - C ) ^ { - 1 } = P ( \hat { \lambda } I - \Lambda ) ^ { - 1 } Q$ ; confidence 0.363
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040131.png ; $\tilde { \varphi } _ { L }$ ; confidence 0.580
  
86. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233040.png ; $b _ { 0 }$ ; confidence 0.363
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012069.png ; $f ( z ) \neq 0$ ; confidence 0.580
  
87. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ \alpha _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } ( \sum _ { i = 0 } ^ { t } \alpha _ { i } + 2 )$ ; confidence 0.363
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040657.png ; $h ( F _ { S _ { P } } \mathfrak { M } ^ { * } L ) = F _ { S _ { P } } \mathfrak { N } ^ { * } L$ ; confidence 0.580
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008029.png ; $c u _ { x t } = u _ { t t } - \frac { 1 } { 2 } c ^ { 2 } u _ { y y }$ ; confidence 0.363
+
88. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040316.png ; $h ( x ) = a , \ldots , h ( w ) = d$ ; confidence 0.362
+
89. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050133.png ; $\alpha ; ( \ldots )$ ; confidence 0.362
+
90. 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
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010135.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } \leq \frac { \| A ^ { + } \| _ { 2 } } { 1 - \| A ^ { + } \| _ { 2 } \| ^ { \delta A \| _ { 2 } } }$ ; confidence 0.362
+
91. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
  
92. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232015.png ; $u _ { R } ^ { k } ( x ) = \sum _ { i = 1 } ^ { n } u _ { i } a _ { i } ^ { k } ( x )$ ; confidence 0.362
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006034.png ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s$ ; confidence 0.579
  
93. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362
+
93. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
  
94. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
+
94. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
  
95. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094440/t09444040.png ; $u _ { m } = u ( M _ { m } )$ ; confidence 0.360
+
95. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
  
96. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150132.png ; $\hat { V }$ ; confidence 0.359
+
96. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
  
97. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c02095032.png ; $L u = \sum _ { | \alpha | \leq m } \alpha _ { \alpha } ( x ) \frac { \partial ^ { \alpha } u } { \partial x ^ { \alpha } } = f ( x )$ ; confidence 0.358
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002013.png ; $g = d \cdot d ^ { \prime - 1 }$ ; confidence 0.357
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n } - 1 ) \in F$ ; confidence 0.578
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020079.png ; $\alpha = \text { Coker } ( \text { Ker } \alpha ) \theta \text { ker } ( \text { Coker } \alpha )$ ; confidence 0.357
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068041.png ; $< n ^ { \theta _ { 2 } }$ ; confidence 0.577
  
100. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $v _ { n } \in G$ ; confidence 0.357
+
100. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
  
101. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } }$ ; confidence 0.357
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024060.png ; $A _ { i }$ ; confidence 0.577
  
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104307.png ; $p _ { j } = P \{ \xi ( t + 1 ) = j | \xi ( t ) = i \}$ ; confidence 0.577
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040365.png ; $\tilde { \Omega } _ { D } F = \cap \{ \Omega G : F \subseteq G \in Fi _ { D } A \}$ ; confidence 0.356
+
103. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100408.png ; $A = \operatorname { Pic } ^ { 0 } ( A )$ ; confidence 0.355
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103203.png ; $u m$ ; confidence 0.575
  
105. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001085.png ; $0$ ; confidence 0.355
+
105. 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
  
106. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063760/m063760111.png ; $0 \rightarrow A \rightarrow B \stackrel { sp } { \rightarrow } \pi * C \rightarrow 0$ ; confidence 0.355
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104606.png ; $a \in D$ ; confidence 0.354
+
107. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013088.png ; $t$ ; confidence 0.354
+
108. 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
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
+
109. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575
  
110. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097790/w09779041.png ; $\pi _ { 4 n - 1 } ( S ^ { 2 n } ) \rightarrow \pi _ { 4 n } ( S ^ { 2 n + 1 } )$ ; confidence 0.354
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002018.png ; $H : A \times I \rightarrow Z$ ; confidence 0.575
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right)$ ; confidence 0.352
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004011.png ; $\phi _ { L } : A \rightarrow A$ ; confidence 0.574
  
112. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574
  
113. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065460/m06546014.png ; $( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$ ; confidence 0.351
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055065.png ; $\Omega \times ( B _ { G } )$ ; confidence 0.574
  
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348
+
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001014.png ; $5$ ; confidence 0.574
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010288.png ; $| e ^ { A + \delta A } - e ^ { A } \| \leq k ( T ) \cdot \| W \|$ ; confidence 0.347
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020036.png ; $M$ ; confidence 0.347
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011035.png ; $\alpha ( m , n ) = \operatorname { min } \{ r \geq 1 : T ( r , 4 \lceil m / n ] ) > \operatorname { log } _ { 2 } n \}$ ; confidence 0.574
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021080.png ; $w _ { 2 }$ ; confidence 0.347
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013032.png ; $P _ { \theta _ { n } } ( X _ { n - 1 } , d _ { x } )$ ; confidence 0.574
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050160.png ; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) }$ ; confidence 0.346
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052074.png ; $c ^ { 1 / A }$ ; confidence 0.573
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240276.png ; $\leq F _ { \alpha ; q , x - \gamma }$ ; confidence 0.345
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573
  
120. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087690/s0876903.png ; $f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$ ; confidence 0.345
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050215.png ; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.344
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006041.png ; $u = u ( t )$ ; confidence 0.572
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022034.png ; $x _ { 1 } , \ldots , x _ { p }$ ; confidence 0.344
+
122. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004015.png ; $H _ { D }$ ; confidence 0.344
+
123. 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
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022077.png ; $z _ { 1 } , \ldots , z _ { p }$ ; confidence 0.572
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210142.png ; $w$ ; confidence 0.343
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a1200307.png ; $( - 1 ) ^ { n } f ^ { ( n ) } ( x ) \geq 0 \text { on } I$ ; confidence 0.571
  
126. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060310/l06031040.png ; $R = \{ \alpha \in K : \operatorname { mod } _ { K } ( \alpha ) \leq 1 \}$ ; confidence 0.342
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013066.png ; $5$ ; confidence 0.571
  
127. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150743.png ; $\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$ ; confidence 0.342
+
127. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010140.png ; $\sigma _ { 1 } \geq \ldots \geq \sigma _ { \zeta }$ ; confidence 0.342
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a1101507.png ; $\tau ( S ) = \psi ( S , \alpha , b , \ldots )$ ; confidence 0.570
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240488.png ; $( \beta _ { t 0 } , \ldots , \beta _ { i k } )$ ; confidence 0.339
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013059.png ; $i$ ; confidence 0.570
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005064.png ; $A ( 0 ) uv + f ( 0 ) \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.339
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007010.png ; $x _ { 1 } , \ldots , x _ { x } \in X$ ; confidence 0.338
+
131. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570
  
132. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015019.png ; $\frac { D \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i } r \xi ^ { r }$ ; confidence 0.338
+
132. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $x \in Y ( u )$ ; confidence 0.570
  
133. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711048.png ; $\phi _ { i } / \partial x _ { Y }$ ; confidence 0.338
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012037.png ; $A v$ ; confidence 0.570
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006044.png ; $F | X _ { t } | ^ { 2 } + \delta$ ; confidence 0.338
+
134. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040515.png ; $\mathfrak { A } = \langle A , C \rangle$ ; confidence 0.337
+
135. 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
  
136. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062360/m06236012.png ; $T _ { i j }$ ; confidence 0.337
+
136. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
  
137. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104204.png ; $S _ { x } = X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.335
+
138. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040459.png ; $\operatorname { Mod } ^ { * } L D ( K ) = ( SPP _ { U } K ) ^ { * } L$ ; confidence 0.335
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569
  
140. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040158.png ; $f | c : C \rightarrow H$ ; confidence 0.568
  
141. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050123.png ; $c \rightarrow N$ ; confidence 0.335
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004012.png ; $\alpha \mapsto t _ { x } ^ { * } L \otimes L ^ { - 1 }$ ; confidence 0.568
  
142. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715031.png ; $\mu$ ; confidence 0.335
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040638.png ; $\langle N e _ { S _ { P } } \mathfrak { M } , F _ { S _ { P } } \mathfrak { M } \rangle$ ; confidence 0.335
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001027.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { \| A ^ { - 1 } \delta A \| + \frac { \| A ^ { - 1 } \delta b \| } { | x \| } } { 1 - \| A ^ { - 1 } \delta A \| }$ ; confidence 0.334
+
144. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460182.png ; $z \in N$ ; confidence 0.568
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240184.png ; $\eta _ { i } - \eta _ { s }$ ; confidence 0.334
+
145. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050146.png ; $\zeta _ { G } ( z ) = \sum _ { x = 1 } ^ { \infty } G ( n ) n ^ { - z } = \sum _ { \alpha \in G } | a | ^ { - z } =$ ; confidence 0.334
+
146. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
  
147. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
+
147. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
  
148. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040567.png ; $\Lambda _ { D } \operatorname { Th } m D$ ; confidence 0.565
  
149. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202808.png ; $F T op$ ; confidence 0.332
+
149. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565
  
150. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104207.png ; $n = 1,2 , \dots$ ; confidence 0.331
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006023.png ; $u = ( u _ { 1 } , \ldots , u _ { p } )$ ; confidence 0.565
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050212.png ; $\sum _ { n \leq x } \alpha ( n ) = A _ { 1 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.331
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018054.png ; $s = 1$ ; confidence 0.564
  
153. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057510/l05751032.png ; $\Delta ( \alpha _ { 1 } \ldots i _ { p } d x ^ { i _ { 1 } } \wedge \ldots \wedge d x ^ { i p } ) =$ ; confidence 0.331
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040146.png ; $T , \psi \dagger \operatorname { si } \varphi$ ; confidence 0.330
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064012.png ; $x _ { 1 } \ldots x _ { k _ { 2 } } - y _ { 1 } \ldots y _ { k _ { 1 } } = \alpha$ ; confidence 0.564
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040271.png ; $p ^ { 4 }$ ; confidence 0.330
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563
  
156. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040188.png ; $D$ ; confidence 0.563
  
157. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010277.png ; $C$ ; confidence 0.563
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040349.png ; $8$ ; confidence 0.330
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210125.png ; $L ( a )$ ; confidence 0.563
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021095.png ; $L$ ; confidence 0.330
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040606.png ; $\mathfrak { M } \vDash _ { S } _ { P } \varphi$ ; confidence 0.563
  
160. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040711.png ; $X ^ { \omega }$ ; confidence 0.563
  
161. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050112.png ; $v \in Y$ ; confidence 0.562
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040409.png ; $Mod ^ { * } L D = P _ { SD } Mod ^ { * } L _ { D }$ ; confidence 0.326
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064013.png ; $x _ { 1 } \ldots x _ { k _ { 1 } } + y _ { 1 } \ldots y _ { k _ { 2 } } = n$ ; confidence 0.562
  
163. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001099.png ; $_ { \nabla } ( G / K )$ ; confidence 0.326
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562
  
164. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
164. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010140.png ; $\geq 7$ ; confidence 0.562
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012043.png ; $W _ { 0 }$ ; confidence 0.325
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043017.png ; $p _ { i k } ^ { * } ( t ) = P \{ \xi ^ { * } ( t ) = h | \xi ^ { * } ( 0 ) = i \} =$ ; confidence 0.325
+
166. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040541.png ; $h ( \psi ^ { i } ) \in C ( \{ h ( \varphi _ { 0 } ^ { i } ) , \ldots , h ( \varphi _ { n _ { i } - 1 } ^ { i } ) \} )$ ; confidence 0.325
+
167. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055800/k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031010.png ; $N$ ; confidence 0.325
+
168. 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
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002019.png ; $H _ { 0 }$ ; confidence 0.561
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021085.png ; $C$ ; confidence 0.323
+
170. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
  
171. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520141.png ; $N _ { 2 } = \left| \begin{array} { c c c c c } { . } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { L ( e _ { j } ^ { n _ { i j } } ) } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { \square } \\ { 0 } & { \square } & { \square } & { \square } & { . } \end{array} \right|$ ; confidence 0.323
+
171. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007012.png ; $\{ x _ { k } , a \}$ ; confidence 0.323
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052044.png ; $N = 2 i + 1$ ; confidence 0.561
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240339.png ; $\Sigma _ { 1 } = X _ { 4 } ^ { \prime } \Sigma X _ { 4 }$ ; confidence 0.322
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050200.png ; $p ( n )$ ; confidence 0.561
  
174. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035010.png ; $P _ { n } ( \operatorname { cos } \phi \operatorname { cos } \psi + \operatorname { sin } \phi \operatorname { sin } \psi \operatorname { cos } \theta )$ ; confidence 0.560
  
175. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322
+
175. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
  
176. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001033.png ; $[ \xi ^ { \alpha } , \xi ^ { b } ] = 2 \epsilon _ { \alpha b c } \xi ^ { c }$ ; confidence 0.322
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
+
177. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
  
178. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110030/k11003029.png ; $\frac { x ^ { \rho + 1 } f ( x ) } { \int _ { x } ^ { x } t ^ { \sigma } f ( t ) d t } \rightarrow \sigma + \rho + 1 \quad ( x \rightarrow \infty )$ ; confidence 0.320
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240337.png ; $1$ ; confidence 0.560
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004033.png ; $\operatorname { to } \varphi$ ; confidence 0.319
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033038.png ; $N ^ { * * * }$ ; confidence 0.560
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022097.png ; $\alpha + b \in C ^ { p }$ ; confidence 0.317
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008069.png ; $-$ ; confidence 0.560
  
181. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047020/h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100202.png ; $v$ ; confidence 0.560
  
182. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120010/o12001037.png ; $\left. \begin{array} { l } { \nabla p _ { 1 } = \nabla p _ { 2 } = 0 } \\ { \frac { \partial v _ { 0 } } { \partial t } + [ \nabla v _ { 0 } ] v _ { 0 } = \frac { 1 } { Re } \Delta v _ { 0 } + \operatorname { Re } \nabla p _ { 3 } + \theta _ { 0 } b } \end{array} \right.$ ; confidence 0.316
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070015.png ; $( b , \alpha ) \in B \oplus A$ ; confidence 0.559
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007013.png ; $x \in X ^ { \prime }$ ; confidence 0.315
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060114.png ; $P ^ { \# } ( n ) \sim C q ^ { n } n ^ { - \alpha } \text { as } n \rightarrow \infty$ ; confidence 0.559
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013078.png ; $q ^ { ( l ) } = 2 i \frac { \tau _ { l } + 1 } { \tau _ { l } } , r ^ { ( l ) } = - 2 i \frac { \tau _ { l } - 1 } { \tau _ { l } }$ ; confidence 0.315
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040509.png ; $\Delta$ ; confidence 0.559
  
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
+
185. 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
  
186. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100277.png ; $\partial _ { r }$ ; confidence 0.315
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070137.png ; $S _ { n }$ ; confidence 0.559
  
187. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010028.png ; $\nabla _ { i g j k } = \gamma _ { i } g _ { j k }$ ; confidence 0.315
+
187. 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
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040599.png ; $E _ { S _ { P } }$ ; confidence 0.315
+
188. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
189. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
  
190. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023045.png ; $\therefore M \rightarrow F$ ; confidence 0.313
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029032.png ; $A ^ { \prime \prime }$ ; confidence 0.559
  
191. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405048.png ; $\theta _ { 3 } ( v \pm \frac { 1 } { 2 } \tau ) = e ^ { - i \pi \tau / 4 } \cdot e ^ { - i \pi v } \cdot \theta _ { 2 } ( v )$ ; confidence 0.312
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a1103305.png ; $U _ { j } = \{ h _ { 1 } , \dots , h _ { j } \}$ ; confidence 0.558
  
192. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
+
192. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $k \geq n - i t$ ; confidence 0.558
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002049.png ; $m = 2 ^ { a } 3 ^ { b } u ^ { 2 }$ ; confidence 0.311
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040486.png ; $c _ { \{ \Phi \} } = c _ { \Gamma }$ ; confidence 0.558
  
194. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001057.png ; $0$ ; confidence 0.311
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040312.png ; $c \equiv d ( \Theta _ { Q } ( a , b ) )$ ; confidence 0.557
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021060.png ; $A _ { 1 } , \ldots , A _ { 8 }$ ; confidence 0.310
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040228.png ; $\Gamma \approx \Delta \vDash _ { K } \varphi \approx \psi$ ; confidence 0.556
  
196. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k05552082.png ; $\Gamma 20$ ; confidence 0.310
+
196. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
  
197. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
+
197. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310136.png ; $A$ ; confidence 0.309
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106702.png ; $q ( y , \tilde { y } )$ ; confidence 0.555
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010199.png ; $k ( T ) = \| T \| T ^ { - 1 } \|$ ; confidence 0.308
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040116.png ; $( E _ { 1 } , E _ { 2 } ) = 1$ ; confidence 0.555
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042150/f04215011.png ; $\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$ ; confidence 0.308
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070017.png ; $S \subset A$ ; confidence 0.555
  
201. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900115.png ; $l \mu \frac { \partial W ^ { k } } { \partial x } + ( 1 - c ) W ^ { k } = c ( \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.308
+
201. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550175.png ; $X = 0$ ; confidence 0.554
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010075.png ; $\operatorname { sup } _ { \epsilon > 0 ; \psi \in W } \operatorname { inf } \{ g ( x ) : g \in \operatorname { span } ( M ) , w f \leq w g + \epsilon \} =$ ; confidence 0.307
+
202. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $h$ ; confidence 0.307
+
203. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554
  
204. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011051.png ; $M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$ ; confidence 0.307
+
204. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
  
205. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100203.png ; $D \subset G$ ; confidence 0.553
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010051.png ; $\sigma \in M$ ; confidence 0.307
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050298.png ; $X _ { 1 } , \ldots , X _ { k }$ ; confidence 0.553
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046087.png ; $P _ { x } ( h )$ ; confidence 0.305
+
207. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010279.png ; $\frac { \| \delta X \| } { \| X \| } \leq \frac { \epsilon \cdot k ( A , B ) } { 1 - \epsilon \cdot k ( A , B ) }$ ; confidence 0.305
+
208. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002024.png ; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304
+
209. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $\overline { w }$ ; confidence 0.553
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005039.png ; $S _ { \theta _ { 0 } } = \{ z \in C : \operatorname { larg } z | \leq \theta _ { 0 } \} \cup \{ 0 \}$ ; confidence 0.304
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010220.png ; $\lambda _ { j }$ ; confidence 0.553
  
211. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552
  
212. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012031.png ; $\Lambda _ { a }$ ; confidence 0.552
  
213. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073540/p07354050.png ; $P \{ X _ { v + 1 } = k + 1 | X _ { k } = k \} = \frac { b + k c } { b + r + n c } = \frac { p + k \gamma } { 1 + n \gamma }$ ; confidence 0.303
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013053.png ; $\gamma _ { n }$ ; confidence 0.552
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002053.png ; $2 ^ { a + 2 }$ ; confidence 0.302
+
214. 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
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040296.png ; $A / \Theta \in Q$ ; confidence 0.302
+
215. 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
  
216. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691017.png ; $a ^ { X } = e ^ { X \operatorname { ln } \alpha }$ ; confidence 0.301
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006056.png ; $q ^ { \partial / I } = \operatorname { card } ( R / I )$ ; confidence 0.551
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940100.png ; $- \infty \leq w \leq + \infty$ ; confidence 0.301
+
217. 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
  
218. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021100/c02110012.png ; $x \in \operatorname { Dom } A$ ; confidence 0.300
+
218. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062390/m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551
  
219. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
+
219. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
  
220. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043019.png ; $t T \infty$ ; confidence 0.551
  
221. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $\overline { U }$ ; confidence 0.299
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240182.png ; $H _ { A }$ ; confidence 0.550
  
222. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057740/l05774010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } \frac { S _ { n } } { c _ { n } } = 1 \quad ( \alpha . s . )$ ; confidence 0.299
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013085.png ; $L$ ; confidence 0.550
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050107.png ; $\Delta$ ; confidence 0.298
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004029.png ; $\sigma ( \Gamma ) \operatorname { tg } \sigma ( \varphi )$ ; confidence 0.298
+
224. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040382.png ; $F \in Fi _ { D }$ ; confidence 0.298
+
225. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $A \simeq K$ ; confidence 0.550
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010010.png ; $I$ ; confidence 0.297
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012035.png ; $W _ { a }$ ; confidence 0.297
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067016.png ; $\hat { \eta } ( t )$ ; confidence 0.550
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040152.png ; $C \in | L$ ; confidence 0.296
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130090/a1300909.png ; $\pi z$ ; confidence 0.549
  
229. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295
+
229. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010016.png ; $x \in I$ ; confidence 0.295
+
230. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010159.png ; $\alpha = \frac { \| \delta A \| _ { 2 } } { \| A \| _ { 2 } } , \quad \hat { \kappa } = \frac { k ( A ) } { 1 - \alpha k ( A ) }$ ; confidence 0.294
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104208.png ; $c = E ( Y _ { 1 } )$ ; confidence 0.549
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040513.png ; $A \nmid \Omega C$ ; confidence 0.294
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007089.png ; $\{ ( \alpha _ { i } , \beta _ { i } ) : i = 1 , \ldots , k \}$ ; confidence 0.548
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548
  
234. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $\phi _ { im }$ ; confidence 0.294
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040714.png ; $\exists v ; \varphi$ ; confidence 0.548
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012040.png ; $n = 0,1 , \ldots$ ; confidence 0.294
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240332.png ; $Z = Y X$ ; confidence 0.548
  
236. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070150/o07015054.png ; $\alpha ^ { n } < b ^ { n + 1 }$ ; confidence 0.291
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012044.png ; $S _ { 1 } = W _ { 1 }$ ; confidence 0.547
  
237. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
+
237. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
  
238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380384.png ; $\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$ ; confidence 0.290
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022080.png ; $j , k = 1 , \dots , p$ ; confidence 0.546
  
239. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
+
239. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294012.png ; $Y \times t$ ; confidence 0.546
  
240. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052130/i05213037.png ; $\forall y \exists z ( \gamma ( y ) + 1 = \alpha ( g * \overline { \beta } ( z ) ) )$ ; confidence 0.288
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040381.png ; $h ; A \rightarrow B$ ; confidence 0.546
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040570.png ; $D$ ; confidence 0.545
  
243. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
+
243. 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
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040386.png ; $F \subseteq Fi _ { D } A$ ; confidence 0.285
+
244. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063100/m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004048.png ; $d _ { 2 }$ ; confidence 0.284
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001014.png ; $R el$ ; confidence 0.544
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022500/c02250014.png ; $j \leq n$ ; confidence 0.544
  
247. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027270/c02727013.png ; $j = \frac { 1728 g _ { 2 } ^ { 3 } } { g _ { 2 } ^ { 3 } - 27 g _ { 3 } ^ { 2 } }$ ; confidence 0.284
+
247. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095630/u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007026.png ; $\pi _ { p } ( \text { Id } : C ( K ) \rightarrow L _ { p } ( K , \mu ) ) = \mu ( K ) ^ { 1 / p }$ ; confidence 0.283
+
248. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040745.png ; $\Sigma ( P , R ) \subseteq Fm P L$ ; confidence 0.283
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040602.png ; $S _ { P }$ ; confidence 0.543
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004059.png ; $F m$ ; confidence 0.283
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024073.png ; $n = I K$ ; confidence 0.542
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040723.png ; $P ^ { \prime }$ ; confidence 0.282
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225705.png ; $x \in D _ { A }$ ; confidence 0.542
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040450.png ; $D ( K ) = \langle F m , \vDash _ { K } \rangle$ ; confidence 0.282
+
252. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
+
253. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050185.png ; $\zeta _ { A } ( z ) = \prod _ { r \geq 1 } \quad ( 1 - p ^ { - r z } ) ^ { - 1 } = \prod _ { r = 1 } ^ { \infty } \zeta ( r z )$ ; confidence 0.281
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040506.png ; $\Delta C$ ; confidence 0.542
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010211.png ; $1 / S i$ ; confidence 0.280
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100405.png ; $p _ { g } = h ^ { 2 } ( A , O _ { A } ) = 1$ ; confidence 0.542
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006033.png ; $\beta _ { X } ( s ) = \operatorname { sup } _ { t } \beta ( \sigma \{ X _ { z } : u \leq t \} , \sigma \{ X _ { z } : u \geq t + x \} )$ ; confidence 0.279
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050194.png ; $r = 1,2 , \dots$ ; confidence 0.541
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067011.png ; $5$ ; confidence 0.541
  
258. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
+
258. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
+
260. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002054.png ; $( 4 m ^ { 2 n } \cdot \frac { m ^ { 2 n } - 1 } { m ^ { 2 } - 1 } , m ^ { 2 n - 1 } \cdot ( \frac { 2 ( m ^ { 2 n } - 1 ) } { m + 1 } + 1 )$ ; confidence 0.276
+
261. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040516.png ; $c \in FFI _ { D } A$ ; confidence 0.275
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040322.png ; $Q = \operatorname { Alg } \operatorname { Mod } ^ { * S } D$ ; confidence 0.274
+
264. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029014.png ; $f = \pi \gamma f _ { \alpha } \pi \overline { x } ^ { 1 }$ ; confidence 0.274
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006083.png ; $\| A ( t , u ) - A ( t , u ^ { \prime } ) \| _ { L ( Y , X ) } \leq \mu \| u - u ^ { \prime } \| _ { X }$ ; confidence 0.540
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050271.png ; $\pi _ { C } ^ { \# } ( x ) \sim C x ^ { \kappa } ( \operatorname { log } x ) ^ { \nu } \text { as } x \rightarrow \infty$ ; confidence 0.274
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
  
268. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090279.png ; $G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$ ; confidence 0.272
+
268. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040485.png ; $\Phi$ ; confidence 0.539
  
271. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
271. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010117.png ; $D$ ; confidence 0.538
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040257.png ; $( H _ { 1 } , \ldots , H _ { k + m } ) : C ^ { N } \rightarrow C ^ { k + m }$ ; confidence 0.271
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
  
273. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058920/l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270
+
273. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c02760032.png ; $( u = const )$ ; confidence 0.538
  
274. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230147.png ; $\sum _ { \nu = 1 } ^ { k - 1 } \frac { B _ { \nu } } { \nu ! } \{ f ^ { \langle \nu - 1 \rangle } ( n ) - f ^ { \langle \nu - 1 \rangle } ( 0 ) \} + \frac { B _ { k } } { k ! } \sum _ { x = 0 } ^ { n - 1 } f ^ { ( k ) } ( x + \theta )$ ; confidence 0.269
+
274. 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
  
275. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040188.png ; $\Omega ^ { * } S$ ; confidence 0.538
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104309.png ; $q _ { i k } = P \{ \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \} , \quad i \in S , \quad h \in H$ ; confidence 0.269
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040519.png ; $D$ ; confidence 0.538
  
277. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n$ ; confidence 0.537
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040573.png ; $21$ ; confidence 0.266
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a1100802.png ; $u = u ( x , y , t ) = e ^ { i ( \omega t + \xi x + \eta y ) }$ ; confidence 0.537
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029051.png ; $\alpha X$ ; confidence 0.266
+
279. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040583.png ; $1$ ; confidence 0.266
+
280. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055580/k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537
  
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200105.png ; $( C ( S ) , \overline { g } ) = ( R _ { + } \times S , d \nu ^ { 2 } + r ^ { 2 } g )$ ; confidence 0.265
+
281. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062070/m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537
  
282. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
+
282. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040635.png ; $F _ { S _ { P } } \mathfrak { M }$ ; confidence 0.264
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006057.png ; $K = F _ { q } ( x )$ ; confidence 0.537
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a1100801.png ; $u _ { t t } = c ^ { 2 } ( u _ { XX } + u _ { y y } )$ ; confidence 0.264
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022030.png ; $z _ { j } = \int _ { c _ { 1 } } ^ { x _ { 1 } } d u _ { j } + \ldots + \int _ { c _ { p } } ^ { x _ { p } } d u _ { j } , \quad j = 1 , \ldots , p$ ; confidence 0.537
  
285. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030046.png ; $\theta Y \circ \phi$ ; confidence 0.536
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022079.png ; $\| \alpha _ { j k }$ ; confidence 0.264
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012078.png ; $\{ \nu _ { k } \}$ ; confidence 0.536
  
287. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911071.png ; $+ \sum _ { i = 1 } ^ { s } \| k _ { i k } [ u ] _ { k } - \{ l _ { i } u \} _ { i k } \| _ { \Phi _ { i k } } + \| p _ { i k } \phi _ { i } - \{ \phi _ { i } \} _ { i k } \| _ { \Phi _ { i k } }$ ; confidence 0.263
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060122.png ; $G _ { \lambda }$ ; confidence 0.535
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150187.png ; $\alpha : H ^ { n } ( : Z ) \rightarrow H ^ { n + 3 } ( : Z _ { 2 } )$ ; confidence 0.262
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a0106804.png ; $f _ { i } ( z ) = \sum _ { 0 \leq \alpha _ { i } < \infty } z ^ { \alpha _ { i } }$ ; confidence 0.535
  
289. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535
  
290. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) , t \in [ 0 , T ]$ ; confidence 0.535
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010241.png ; $x = T ( \Lambda - \hat { \lambda } I ) ^ { - 1 } T ^ { - 1 } r$ ; confidence 0.261
+
291. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301301.png ; $\left. \begin{array} { l } { i \frac { \partial } { \partial t } q ( x , t ) = i q t = - \frac { 1 } { 2 } q x x + q ^ { 2 } r } \\ { i \frac { \partial } { \partial t } r ( x , t ) = i r t = \frac { 1 } { 2 } r x - q r ^ { 2 } } \end{array} \right.$ ; confidence 0.260
+
292. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259
+
293. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070027.png ; $b \in B$ ; confidence 0.535
  
295. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087770/s08777049.png ; $V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$ ; confidence 0.259
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106709.png ; $\overline { \eta }$ ; confidence 0.534
  
296. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020220.png ; $\delta ^ { * } \circ ( t - r ) ^ { * } \beta _ { 1 } = k ( t ^ { * } \square ^ { - 1 } \beta _ { 3 } )$ ; confidence 0.259
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007053.png ; $\omega ( \alpha )$ ; confidence 0.534
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010158.png ; $\frac { \| \delta x \| _ { 2 } } { \| x \| _ { 2 } } \leq k [ ( 2 + \eta \hat { k } ) \alpha + \beta \gamma ]$ ; confidence 0.259
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032015.png ; $C$ ; confidence 0.533
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022029.png ; $u _ { 1 } = \int _ { c _ { 1 } } ^ { x } d u _ { 1 } , \ldots , u _ { p } = \int _ { \varphi } ^ { x } d u _ { p }$ ; confidence 0.258
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106708.png ; $q ( y , \tilde { y } ) = q ( \tilde { y } - y )$ ; confidence 0.533
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010258.png ; $r = H . | A | . | x$ ; confidence 0.258
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
  
300. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638089.png ; $\pi : B \rightarrow G ^ { k } ( V )$ ; confidence 0.258
+
300. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533

Revision as of 08:36, 6 September 2019

List

1. a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601

2. b11084049.png ; $X$ ; confidence 0.601

3. q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601

4. t093150393.png ; $\{ p _ { i } ^ { - 1 } U _ { i } : U _ { i } \in \mu _ { i \square } \text { and } i \in I \}$ ; confidence 0.601

5. a01021086.png ; $P$ ; confidence 0.601

6. e03704077.png ; $\lambda < \alpha$ ; confidence 0.600

7. g04440029.png ; $\delta \varepsilon$ ; confidence 0.600

8. a01298033.png ; $X = H$ ; confidence 0.599

9. c026870106.png ; $e _ { i } = \partial / \partial x ^ { i } | _ { p }$ ; confidence 0.599

10. a130240183.png ; $\eta i$ ; confidence 0.599

11. a130040168.png ; $h : F m \rightarrow A$ ; confidence 0.599

12. c02104082.png ; $- w$ ; confidence 0.598

13. i051410114.png ; $\alpha ( \lambda ) = \alpha _ { - } ( \lambda ) \alpha _ { + } ( \lambda )$ ; confidence 0.598

14. a01021073.png ; $P _ { 1 } , \ldots , P _ { n }$ ; confidence 0.597

15. a130050224.png ; $\sum _ { n \leq x } G ( n ) = A _ { G } x ^ { \delta } + O ( x ^ { \eta } ) \text { as } x \rightarrow \infty$ ; confidence 0.597

16. a11028033.png ; $u w \in E ( D )$ ; confidence 0.597

17. a1200606.png ; $\alpha ; ( x )$ ; confidence 0.597

18. a130240315.png ; $SS _ { e } = y ^ { \prime } ( I _ { n } - X ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } ) y$ ; confidence 0.596

19. a130240193.png ; $\hat { \psi } = c ^ { \prime } \hat { \beta }$ ; confidence 0.596

20. s085580113.png ; $K = \nu - \nu$ ; confidence 0.596

21. a130240306.png ; $SS _ { e } = \| y - \hat { \eta } _ { \Omega } \| ^ { 2 }$ ; confidence 0.596

22. a110040250.png ; $c = \square ^ { t } ( c _ { 1 } , \dots , c _ { k + m } ) \in C ^ { k + m }$ ; confidence 0.596

23. a11008014.png ; $c _ { X } > 0$ ; confidence 0.595

24. a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595

25. a11030019.png ; $T V$ ; confidence 0.595

26. a11016035.png ; $\kappa ( A ) = \frac { \lambda _ { \operatorname { max } } } { \lambda _ { \operatorname { min } } }$ ; confidence 0.594

27. d032890165.png ; $\operatorname { li } x / \phi ( d )$ ; confidence 0.594

28. a01020086.png ; $\coprod _ { i \in I } U _ { i } , \quad U _ { i } = U$ ; confidence 0.594

29. a11015016.png ; $\alpha ( t ) = \alpha ( S ) t , \quad t \geq 0$ ; confidence 0.593

30. a13013067.png ; $C [ t ] = C [ t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.593

31. a130240399.png ; $X _ { 3 }$ ; confidence 0.593

32. a130240194.png ; $8$ ; confidence 0.593

33. s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593

34. a12007096.png ; $B _ { j } ( t , x , D _ { x } ) u = 0 , \text { on } [ 0 , T ] \times \partial \Omega , j = 1 , \ldots , m$ ; confidence 0.592

35. i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592

36. a11035029.png ; $\phi \lambda$ ; confidence 0.592

37. a1200607.png ; $j = 1 , \ldots , m$ ; confidence 0.591

38. a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591

39. a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591

40. b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591

41. w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591

42. a0106802.png ; $a _ { i } \geq 0$ ; confidence 0.591

43. a110010226.png ; $\| E _ { z } \|$ ; confidence 0.590

44. a13013095.png ; $12$ ; confidence 0.590

45. a11038041.png ; $\approx 3$ ; confidence 0.590

46. a01204017.png ; $X \subset Y$ ; confidence 0.590

47. l06029012.png ; $\left. \begin{array} { c c c } { R } & { \stackrel { \pi _ { 2 } \mu } { \rightarrow } } & { B } \\ { \pi _ { 1 } \mu \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { \alpha } } & { C } \end{array} \right.$ ; confidence 0.590

48. p07246025.png ; $S \square ^ { * }$ ; confidence 0.590

49. a110010240.png ; $( \pi , x )$ ; confidence 0.590

50. a110010225.png ; $| \delta \lambda _ { i } | \leq \frac { \| E _ { i } \| \| \delta A \| } { 1 - \| \delta A \| \sum _ { k \neq i } \frac { \| E _ { i } \| + \| E _ { k } \| } { | \lambda _ { i } - \lambda _ { k } | } }$ ; confidence 0.590

51. b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589

52. d033340103.png ; $\gamma$ ; confidence 0.589

53. a13007037.png ; $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 11,3 ^ { 5 } \cdot 5 ^ { 2 } \cdot 13,3 ^ { 4 } \cdot 5 ^ { 2 } \cdot 13 ^ { 2 } , 3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 13 ^ { 2 }$ ; confidence 0.589

54. a01052041.png ; $A _ { x } + 1 = A _ { x } + a _ { x } , \quad n = 1 , \ldots , N - 1$ ; confidence 0.589

55. a110040183.png ; $p : \tilde { A } \rightarrow K \subset P ^ { 3 }$ ; confidence 0.589

56. a11035027.png ; $\psi _ { \mu } ^ { ( x , y ) } ( t )$ ; confidence 0.588

57. a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588

58. k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588

59. a13024036.png ; $N ( 0 , \Sigma )$ ; confidence 0.587

60. a130240307.png ; $SS _ { H } = \| \hat { \eta } _ { \Omega } - \hat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587

61. a110040185.png ; $p | D _ { i }$ ; confidence 0.587

62. a13024021.png ; $E ( y ) = X \beta$ ; confidence 0.586

63. a12006077.png ; $\left\{ \begin{array} { l } { \frac { d u } { d t } + A ( t , u ) u = f ( t , u ) , \quad t \in [ 0 , T ] } \\ { u ( 0 ) = u _ { 0 } } \end{array} \right.$ ; confidence 0.586

64. a11033020.png ; $U _ { j } ^ { * * }$ ; confidence 0.586

65. l05756010.png ; $E = \frac { m } { 2 } ( \dot { x } \square _ { 1 } ^ { 2 } + \dot { x } \square _ { 2 } ^ { 2 } + \dot { x } \square _ { 3 } ^ { 2 } ) + \frac { \kappa } { r }$ ; confidence 0.586

66. b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586

67. a130240164.png ; $\eta = E ( y )$ ; confidence 0.586

68. a130040243.png ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585

69. a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585

70. a110040113.png ; $a + 1$ ; confidence 0.585

71. a11004082.png ; $\Lambda \times \Lambda \rightarrow Z$ ; confidence 0.584

72. a12012077.png ; $\langle x _ { t } , y _ { t } , c _ { t } \rangle$ ; confidence 0.584

73. a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584

74. c1103302.png ; $DT ( S )$ ; confidence 0.583

75. a11002044.png ; $GF ( q ^ { d + 1 } )$ ; confidence 0.583

76. a130240108.png ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t ^ { 2 } + e _ { i }$ ; confidence 0.583

77. b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582

78. g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582

79. a130040592.png ; $S _ { P }$ ; confidence 0.582

80. a12012018.png ; $B = 1$ ; confidence 0.582

81. a130240169.png ; $\beta = 0$ ; confidence 0.582

82. a11001011.png ; $12$ ; confidence 0.581

83. n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581

84. a130050256.png ; $P _ { C } ^ { \# } ( n )$ ; confidence 0.581

85. a110040131.png ; $\tilde { \varphi } _ { L }$ ; confidence 0.580

86. a01012069.png ; $f ( z ) \neq 0$ ; confidence 0.580

87. a130040657.png ; $h ( F _ { S _ { P } } \mathfrak { M } ^ { * } L ) = F _ { S _ { P } } \mathfrak { N } ^ { * } L$ ; confidence 0.580

88. t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580

89. b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580

90. 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

91. p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580

92. a12006034.png ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s$ ; confidence 0.579

93. c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579

94. e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579

95. g04440061.png ; $z$ ; confidence 0.578

96. s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578

97. s08755019.png ; $\alpha < p b$ ; confidence 0.578

98. a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n } - 1 ) \in F$ ; confidence 0.578

99. a01068041.png ; $< n ^ { \theta _ { 2 } }$ ; confidence 0.577

100. c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577

101. a01024060.png ; $A _ { i }$ ; confidence 0.577

102. a0104307.png ; $p _ { j } = P \{ \xi ( t + 1 ) = j | \xi ( t ) = i \}$ ; confidence 0.577

103. t092810186.png ; $B s$ ; confidence 0.576

104. a1103203.png ; $u m$ ; confidence 0.575

105. a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575

106. a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575

107. q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575

108. t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575

109. t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575

110. a12002018.png ; $H : A \times I \rightarrow Z$ ; confidence 0.575

111. a11004011.png ; $\phi _ { L } : A \rightarrow A$ ; confidence 0.574

112. a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574

113. a01055065.png ; $\Omega \times ( B _ { G } )$ ; confidence 0.574

114. t12001014.png ; $5$ ; confidence 0.574

115. c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574

116. a12011035.png ; $\alpha ( m , n ) = \operatorname { min } \{ r \geq 1 : T ( r , 4 \lceil m / n ] ) > \operatorname { log } _ { 2 } n \}$ ; confidence 0.574

117. a12013032.png ; $P _ { \theta _ { n } } ( X _ { n - 1 } , d _ { x } )$ ; confidence 0.574

118. a01052074.png ; $c ^ { 1 / A }$ ; confidence 0.573

119. a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573

120. a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572

121. a12006041.png ; $u = u ( t )$ ; confidence 0.572

122. b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572

123. l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572

124. a01022077.png ; $z _ { 1 } , \ldots , z _ { p }$ ; confidence 0.572

125. a1200307.png ; $( - 1 ) ^ { n } f ^ { ( n ) } ( x ) \geq 0 \text { on } I$ ; confidence 0.571

126. a13013066.png ; $5$ ; confidence 0.571

127. w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571

128. a1101507.png ; $\tau ( S ) = \psi ( S , \alpha , b , \ldots )$ ; confidence 0.570

129. a13013059.png ; $i$ ; confidence 0.570

130. c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570

131. s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570

132. v11002046.png ; $x \in Y ( u )$ ; confidence 0.570

133. a12012037.png ; $A v$ ; confidence 0.570

134. d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569

135. 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

136. l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569

137. s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569

138. z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569

139. a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569

140. a110040158.png ; $f | c : C \rightarrow H$ ; confidence 0.568

141. a11004012.png ; $\alpha \mapsto t _ { x } ^ { * } L \otimes L ^ { - 1 }$ ; confidence 0.568

142. a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568

143. a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568

144. m063460182.png ; $z \in N$ ; confidence 0.568

145. s085360140.png ; $B d K$ ; confidence 0.567

146. r08062076.png ; $\beta$ ; confidence 0.566

147. b0153901.png ; $( X , B X )$ ; confidence 0.566

148. a130040567.png ; $\Lambda _ { D } \operatorname { Th } m D$ ; confidence 0.565

149. j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565

150. a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565

151. a12006023.png ; $u = ( u _ { 1 } , \ldots , u _ { p } )$ ; confidence 0.565

152. a01018054.png ; $s = 1$ ; confidence 0.564

153. a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564

154. a01064012.png ; $x _ { 1 } \ldots x _ { k _ { 2 } } - y _ { 1 } \ldots y _ { k _ { 1 } } = \alpha$ ; confidence 0.564

155. a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563

156. a110040188.png ; $D$ ; confidence 0.563

157. a110010277.png ; $C$ ; confidence 0.563

158. a010210125.png ; $L ( a )$ ; confidence 0.563

159. a130040606.png ; $\mathfrak { M } \vDash _ { S } _ { P } \varphi$ ; confidence 0.563

160. a130040711.png ; $X ^ { \omega }$ ; confidence 0.563

161. a120050112.png ; $v \in Y$ ; confidence 0.562

162. a01064013.png ; $x _ { 1 } \ldots x _ { k _ { 1 } } + y _ { 1 } \ldots y _ { k _ { 2 } } = n$ ; confidence 0.562

163. a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562

164. t120010140.png ; $\geq 7$ ; confidence 0.562

165. a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562

166. f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562

167. k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562

168. a01020038.png ; $d _ { n } d _ { n + 1 } = 0 , n = 0 , \pm 1 , \pm 2 , \dots$ ; confidence 0.562

169. a12002019.png ; $H _ { 0 }$ ; confidence 0.561

170. c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561

171. d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561

172. a01052044.png ; $N = 2 i + 1$ ; confidence 0.561

173. a130050200.png ; $p ( n )$ ; confidence 0.561

174. a11035010.png ; $P _ { n } ( \operatorname { cos } \phi \operatorname { cos } \psi + \operatorname { sin } \phi \operatorname { sin } \psi \operatorname { cos } \theta )$ ; confidence 0.560

175. b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560

176. b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560

177. v096900232.png ; $III _ { 0 }$ ; confidence 0.560

178. a130240337.png ; $1$ ; confidence 0.560

179. a11033038.png ; $N ^ { * * * }$ ; confidence 0.560

180. a13008069.png ; $-$ ; confidence 0.560

181. a1100202.png ; $v$ ; confidence 0.560

182. a01070015.png ; $( b , \alpha ) \in B \oplus A$ ; confidence 0.559

183. a130060114.png ; $P ^ { \# } ( n ) \sim C q ^ { n } n ^ { - \alpha } \text { as } n \rightarrow \infty$ ; confidence 0.559

184. a130040509.png ; $\Delta$ ; confidence 0.559

185. a12031081.png ; $\{ z \in A : z \alpha = \alpha z \text { for each } \alpha \in A \}$ ; confidence 0.559

186. a130070137.png ; $S _ { n }$ ; confidence 0.559

187. 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

188. t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559

189. t11002049.png ; $e ^ { \prime }$ ; confidence 0.559

190. a01029032.png ; $A ^ { \prime \prime }$ ; confidence 0.559

191. a1103305.png ; $U _ { j } = \{ h _ { 1 } , \dots , h _ { j } \}$ ; confidence 0.558

192. e036230124.png ; $k \geq n - i t$ ; confidence 0.558

193. a130040486.png ; $c _ { \{ \Phi \} } = c _ { \Gamma }$ ; confidence 0.558

194. a130040312.png ; $c \equiv d ( \Theta _ { Q } ( a , b ) )$ ; confidence 0.557

195. a130040228.png ; $\Gamma \approx \Delta \vDash _ { K } \varphi \approx \psi$ ; confidence 0.556

196. f0410005.png ; $J _ { \nu }$ ; confidence 0.556

197. i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556

198. a0106702.png ; $q ( y , \tilde { y } )$ ; confidence 0.555

199. a110040116.png ; $( E _ { 1 } , E _ { 2 } ) = 1$ ; confidence 0.555

200. a01070017.png ; $S \subset A$ ; confidence 0.555

201. c023550175.png ; $X = 0$ ; confidence 0.554

202. i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554

203. l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554

204. s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554

205. a1100203.png ; $D \subset G$ ; confidence 0.553

206. a130050298.png ; $X _ { 1 } , \ldots , X _ { k }$ ; confidence 0.553

207. c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553

208. c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553

209. s09023035.png ; $\overline { w }$ ; confidence 0.553

210. a110010220.png ; $\lambda _ { j }$ ; confidence 0.553

211. a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552

212. a01012031.png ; $\Lambda _ { a }$ ; confidence 0.552

213. a12013053.png ; $\gamma _ { n }$ ; confidence 0.552

214. 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

215. a01021051.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 1 } { z } + f ( z ) ) d z$ ; confidence 0.552

216. a13006056.png ; $q ^ { \partial / I } = \operatorname { card } ( R / I )$ ; confidence 0.551

217. a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551

218. m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551

219. r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551

220. a01043019.png ; $t T \infty$ ; confidence 0.551

221. a130240182.png ; $H _ { A }$ ; confidence 0.550

222. a13013085.png ; $L$ ; confidence 0.550

223. a130240204.png ; $74$ ; confidence 0.550

224. b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550

225. n067520303.png ; $A \simeq K$ ; confidence 0.550

226. a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550

227. a01067016.png ; $\hat { \eta } ( t )$ ; confidence 0.550

228. a1300909.png ; $\pi z$ ; confidence 0.549

229. g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549

230. l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549

231. a0104208.png ; $c = E ( Y _ { 1 } )$ ; confidence 0.549

232. a12007089.png ; $\{ ( \alpha _ { i } , \beta _ { i } ) : i = 1 , \ldots , k \}$ ; confidence 0.548

233. a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548

234. a130040714.png ; $\exists v ; \varphi$ ; confidence 0.548

235. a130240332.png ; $Z = Y X$ ; confidence 0.548

236. a01012044.png ; $S _ { 1 } = W _ { 1 }$ ; confidence 0.547

237. r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547

238. a01022080.png ; $j , k = 1 , \dots , p$ ; confidence 0.546

239. i05294012.png ; $Y \times t$ ; confidence 0.546

240. a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546

241. a130040381.png ; $h ; A \rightarrow B$ ; confidence 0.546

242. a130040570.png ; $D$ ; confidence 0.545

243. b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545

244. m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545

245. a13001014.png ; $R el$ ; confidence 0.544

246. c02250014.png ; $j \leq n$ ; confidence 0.544

247. u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544

248. r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543

249. a130040602.png ; $S _ { P }$ ; confidence 0.543

250. a13024073.png ; $n = I K$ ; confidence 0.542

251. c0225705.png ; $x \in D _ { A }$ ; confidence 0.542

252. r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542

253. s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542

254. a130040506.png ; $\Delta C$ ; confidence 0.542

255. a1100405.png ; $p _ { g } = h ^ { 2 } ( A , O _ { A } ) = 1$ ; confidence 0.542

256. a130050194.png ; $r = 1,2 , \dots$ ; confidence 0.541

257. a01067011.png ; $5$ ; confidence 0.541

258. t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541

259. d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541

260. p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541

261. r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541

262. a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540

263. a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540

264. n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540

265. a12006083.png ; $\| A ( t , u ) - A ( t , u ^ { \prime } ) \| _ { L ( Y , X ) } \leq \mu \| u - u ^ { \prime } \| _ { X }$ ; confidence 0.540

266. a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539

267. a01024062.png ; $B i$ ; confidence 0.539

268. h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539

269. a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539

270. a130040485.png ; $\Phi$ ; confidence 0.539

271. t120010117.png ; $D$ ; confidence 0.538

272. a011450195.png ; $C / \Omega$ ; confidence 0.538

273. c02760032.png ; $( u = const )$ ; confidence 0.538

274. n06711026.png ; $\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$ ; confidence 0.538

275. a130040188.png ; $\Omega ^ { * } S$ ; confidence 0.538

276. a130040519.png ; $D$ ; confidence 0.538

277. a130240482.png ; $n = \sum n$ ; confidence 0.537

278. a1100802.png ; $u = u ( x , y , t ) = e ^ { i ( \omega t + \xi x + \eta y ) }$ ; confidence 0.537

279. c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537

280. k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537

281. m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537

282. q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537

283. a13006057.png ; $K = F _ { q } ( x )$ ; confidence 0.537

284. a01022030.png ; $z _ { j } = \int _ { c _ { 1 } } ^ { x _ { 1 } } d u _ { j } + \ldots + \int _ { c _ { p } } ^ { x _ { p } } d u _ { j } , \quad j = 1 , \ldots , p$ ; confidence 0.537

285. a11030046.png ; $\theta Y \circ \phi$ ; confidence 0.536

286. a01012078.png ; $\{ \nu _ { k } \}$ ; confidence 0.536

287. a130060122.png ; $G _ { \lambda }$ ; confidence 0.535

288. a0106804.png ; $f _ { i } ( z ) = \sum _ { 0 \leq \alpha _ { i } < \infty } z ^ { \alpha _ { i } }$ ; confidence 0.535

289. a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535

290. a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) , t \in [ 0 , T ]$ ; confidence 0.535

291. b130300113.png ; $A$ ; confidence 0.535

292. d13006089.png ; $m B$ ; confidence 0.535

293. p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535

294. a01070027.png ; $b \in B$ ; confidence 0.535

295. a0106709.png ; $\overline { \eta }$ ; confidence 0.534

296. a13007053.png ; $\omega ( \alpha )$ ; confidence 0.534

297. a11032015.png ; $C$ ; confidence 0.533

298. a0106708.png ; $q ( y , \tilde { y } ) = q ( \tilde { y } - y )$ ; confidence 0.533

299. a130240285.png ; $\psi \in L$ ; confidence 0.533

300. b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/14. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/14&oldid=43904