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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 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(One intermediate revision by the same user not shown)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102403.png ; $Z , W$ ; confidence 0.401
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012380/a01238018.png ; $m \geq n$ ; confidence 0.939
  
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2. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450243.png ; $X _ { \eta }$ ; confidence 0.938
  
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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/a/a110/a110280/a11028068.png ; $y z \in E ( D )$ ; confidence 0.938
  
−
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/a/a011/a011480/a0114801.png ; $f _ { x } = 0$ ; confidence 0.938
  
−
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004099.png ; $\psi \in S$ ; confidence 0.398
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017046.png ; $\beta ( \alpha , x ) = R \beta _ { 0 } ( \alpha ) \Phi ( x )$ ; confidence 0.938
  
−
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104209.png ; $\{ X _ { n } \}$ ; confidence 0.398
+
6. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010123.png ; $V _ { n }$ ; confidence 0.938
  
−
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/a/a010/a010520/a01052017.png ; $\| A ^ { - 1 } \|$ ; confidence 0.938
  
−
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
+
8. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120344.png ; $\Lambda _ { \zeta } F ( z , \zeta )$ ; confidence 0.938
  
−
9. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146075.png ; $C ( X ) / C _ { hom } ( X )$ ; confidence 0.938
  
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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/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
  
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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/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
  
−
12. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021070.png ; $P _ { 2 }$ ; confidence 0.396
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
  
−
13. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680145.png ; $\alpha _ { i j }$ ; confidence 0.938
  
−
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/a120/a120130/a12013047.png ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938
  
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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/h/h047/h047690/h047690110.png ; $< 6$ ; confidence 0.938
  
−
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012057.png ; $k = 0,1 , \ldots ,$ ; confidence 0.393
+
16. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706039.png ; $S K _ { 1 }$ ; confidence 0.938
  
−
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040281.png ; $X \rightarrow y$ ; confidence 0.392
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937
  
−
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/a110/a110040/a11004066.png ; $d _ { 1 } \geq 2$ ; confidence 0.937
  
−
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/a120/a120200/a12020029.png ; $p ( t ) = t ^ { N } - 1$ ; confidence 0.937
  
−
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040181.png ; $\alpha \in G$ ; confidence 0.390
+
20. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
  
−
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/c/c024/c024670/c02467038.png ; $D _ { 4 }$ ; confidence 0.937
  
−
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/a010/a010460/a01046028.png ; $\rho ( x , h ) = \operatorname { sup } \{ | \xi | : x + \xi h \in D \}$ ; confidence 0.937
  
−
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/a010/a010120/a01012067.png ; $\{ \nu _ { k } \} \cup \{ \mu _ { n } \} = \{ n \}$ ; confidence 0.937
  
−
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
  
−
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/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
  
−
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/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
  
−
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006018.png ; $P _ { B }$ ; confidence 0.385
+
27. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
  
−
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a1106409.png ; $S U N$ ; confidence 0.385
+
28. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
  
−
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/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
  
−
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/a010/a010950/a01095087.png ; $\omega ^ { i } = d x ^ { i } , \quad \omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.937
  
−
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004077.png ; $A = C ^ { 2 } / \Lambda$ ; confidence 0.937
  
−
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160177.png ; $x _ { j t } , y _ { i t } \geq 0$ ; confidence 0.937
  
−
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640115.png ; $( K _ { V } ^ { 2 } ) > 0$ ; confidence 0.937
  
−
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/a110/a110170/a11017015.png ; $\Omega _ { t }$ ; confidence 0.937
  
−
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/c/c022/c022180/c02218013.png ; $r + 1$ ; confidence 0.937
  
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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/s/s085/s085590/s085590376.png ; $x _ { 0 } ^ { \mu - 1 } + x _ { 0 } x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.937
  
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37. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010222.png ; $E$ ; confidence 0.382
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040216.png ; $A / ( - 1 ) _ { A }$ ; confidence 0.936
  
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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/a011/a011640/a01164084.png ; $H ^ { i } ( V , Z )$ ; confidence 0.936
  
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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/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
  
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40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040405.png ; $P _ { U } K$ ; confidence 0.381
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480114.png ; $b _ { n }$ ; confidence 0.936
  
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41. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936
  
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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/a130/a130040/a130040182.png ; $b \in G$ ; confidence 0.936
  
−
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033016.png ; $\beta _ { y }$ ; confidence 0.380
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008035.png ; $s , t \in R$ ; confidence 0.936
  
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44. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021055.png ; $a - 1$ ; confidence 0.380
+
44. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936
  
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45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
+
45. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936
  
−
46. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
  
−
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040213.png ; $^ { * } S \text { s } 5$ ; confidence 0.380
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
  
−
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020088.png ; $\phi \gamma$ ; confidence 0.380
+
48. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
  
−
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
+
49. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
  
−
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/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
  
−
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
51. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
  
−
52. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
52. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
  
−
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/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
  
−
54. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
+
54. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
  
−
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/a120/a120070/a12007098.png ; $2 m$ ; confidence 0.936
  
−
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/w/w098/w098100/w098100182.png ; $p ( A )$ ; confidence 0.936
  
−
57. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k055850103.png ; $D _ { \alpha }$ ; confidence 0.374
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936
  
−
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240403.png ; $SS _ { e }$ ; confidence 0.936
  
−
59. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935
  
−
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/g/g130/g130020/g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935
  
−
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/a011/a011300/a011300105.png ; $A = A$ ; confidence 0.935
  
−
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/a110/a110010/a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935
  
−
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/a110/a110040/a11004068.png ; $d _ { 1 } \geq 3$ ; confidence 0.935
  
−
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/a011/a011480/a011480110.png ; $g ( x ) = b _ { 0 } x ^ { n } + b _ { 1 } x ^ { n - 1 } + \ldots + b _ { n }$ ; confidence 0.935
  
−
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/a/a130/a130070/a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935
  
−
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/l/l058/l058590/l05859081.png ; $L ( n , R )$ ; confidence 0.935
  
−
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/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
  
−
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in C$ ; confidence 0.369
+
68. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
  
−
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/j/j054/j054340/j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935
  
−
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/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
  
−
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/a110490/a1104906.png ; $L _ { 0 } ( X ) = \{ A \in L ( X ) : \operatorname { dom } A = X \}$ ; confidence 0.935
  
−
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/w/w120/w120090/w12009071.png ; $t ^ { \lambda }$ ; confidence 0.935
  
−
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/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
  
−
74. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050124.png ; $Z ( t , u )$ ; confidence 0.368
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082018.png ; $H _ { C } ( F ( X ) , Y )$ ; confidence 0.935
  
−
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012023.png ; $A _ { r } ^ { \alpha }$ ; confidence 0.368
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120299.png ; $A ( F )$ ; confidence 0.935
  
−
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010113.png ; $\delta b = H . | b$ ; confidence 0.368
+
76. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935
  
−
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/j/j054/j054270/j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935
  
−
78. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
+
78. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934
  
−
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/d/d034/d034120/d034120479.png ; $f \in F ^ { \prime }$ ; confidence 0.934
  
−
80. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
+
80. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590381.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.934
  
−
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/d/d032/d032490/d03249017.png ; $p \subset q$ ; confidence 0.934
  
−
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/a011/a011210/a0112101.png ; $\operatorname { Ai } ( x ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \infty } \operatorname { cos } ( \frac { t ^ { 3 } } { 3 } + x t ) d t$ ; confidence 0.934
  
−
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022067.png ; $m$ ; confidence 0.365
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934
  
−
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/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
  
−
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/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
  
−
86. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233040.png ; $b _ { 0 }$ ; confidence 0.363
+
86. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
  
−
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/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
  
−
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/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
  
−
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/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
  
−
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050133.png ; $\alpha ; ( \ldots )$ ; confidence 0.362
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490172.png ; $y \in K$ ; confidence 0.934
  
−
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/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
  
−
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/a011/a011450/a011450163.png ; $( X )$ ; confidence 0.934
  
−
93. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380118.png ; $\mathfrak { A } ^ { * } = \mathfrak { B } ^ { * }$ ; confidence 0.934
  
−
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/b/b110/b110570/b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933
  
−
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/a/a011/a011300/a01130094.png ; $\Delta _ { i } \neq 0$ ; confidence 0.933
  
−
96. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150132.png ; $\hat { V }$ ; confidence 0.359
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933
  
−
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/a/a011/a011210/a01121029.png ; $z | \rightarrow \infty$ ; confidence 0.933
  
−
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/b/b015/b015690/b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933
  
−
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/a011/a011380/a011380194.png ; $\& , \vee , \overline { \square }$ ; confidence 0.933
  
−
100. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $v _ { n } \in G$ ; confidence 0.357
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029042.png ; $x ( \xi )$ ; confidence 0.933
  
−
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/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
  
−
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
102. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
  
−
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/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
  
−
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/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
  
−
105. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001085.png ; $0$ ; confidence 0.355
+
105. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
  
−
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/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
  
−
107. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104606.png ; $a \in D$ ; confidence 0.354
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103309.png ; $\beta _ { r } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } d F ( x )$ ; confidence 0.933
  
−
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013088.png ; $t$ ; confidence 0.354
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030039.png ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933
  
−
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/c/c025/c025930/c02593042.png ; $\phi ( g )$ ; confidence 0.933
  
−
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/a120110/a1201109.png ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933
  
−
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/a011/a011500/a01150075.png ; $a , b , c$ ; confidence 0.933
  
−
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/a011/a011050/a01105032.png ; $f ^ { - 1 } ( S _ { \alpha } )$ ; confidence 0.933
  
−
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/a011/a011210/a01121056.png ; $x _ { 1 } ( \alpha )$ ; confidence 0.933
  
−
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149044.png ; $f _ { 0 } ^ { 1 } ( x ) , \ldots , f _ { 0 } ^ { k } ( x )$ ; confidence 0.933
  
−
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/l/l058/l058760/l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933
  
−
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020036.png ; $M$ ; confidence 0.347
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060129.png ; $90$ ; confidence 0.933
  
−
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021080.png ; $w _ { 2 }$ ; confidence 0.347
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008011.png ; $U \leq f ( X ) / h ( X )$ ; confidence 0.932
  
−
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/a010210/a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932
  
−
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/q/q076/q076310/q07631068.png ; $( g , \phi )$ ; confidence 0.932
  
−
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/f/f040/f040820/f04082082.png ; $F _ { u } ( X , Y )$ ; confidence 0.932
  
−
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/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
  
−
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/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
  
−
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004015.png ; $H _ { D }$ ; confidence 0.344
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
  
−
124. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
+
124. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
  
−
125. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210142.png ; $w$ ; confidence 0.343
+
125. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
  
−
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/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
  
−
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/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
  
−
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/l/l058/l058590/l058590189.png ; $x , y , x y \in U _ { 1 }$ ; confidence 0.932
  
−
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/a130170/a13017022.png ; $\Pi \circ B$ ; confidence 0.932
  
−
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/a/a011/a011380/a011380183.png ; $f _ { 3 } , f _ { 4 }$ ; confidence 0.931
  
−
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/p/p073/p073700/p07370068.png ; $k [ G ]$ ; confidence 0.931
  
−
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/a/a011/a011380/a01138063.png ; $\infty$ ; confidence 0.931
  
−
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/s/s085/s085590/s085590517.png ; $G \backslash H$ ; confidence 0.931
  
−
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/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
  
−
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/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
  
−
136. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062360/m06236012.png ; $T _ { i j }$ ; confidence 0.337
+
136. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
  
−
137. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
+
137. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
  
−
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/a/a011/a011650/a011650493.png ; $\mathfrak { F } ( d _ { 1 } / \Phi , \ldots , d _ { k } / \Phi ) = T \Leftrightarrow$ ; confidence 0.931
  
−
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/a120/a120050/a120050129.png ; $\frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( t , u ) \frac { \partial u } { \partial x _ { j } } = f ( t , u )$ ; confidence 0.931
  
−
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/u/u095/u095410/u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931
  
−
141. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050123.png ; $c \rightarrow N$ ; confidence 0.335
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130062.png ; $\gamma ( x )$ ; confidence 0.931
  
−
142. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715031.png ; $\mu$ ; confidence 0.335
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931
  
−
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/a011/a011380/a01138032.png ; $x \& y$ ; confidence 0.931
  
−
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/a/a010/a010860/a01086029.png ; $M ^ { * } \rightarrow M ^ { * * * } \rightarrow M ^ { * }$ ; confidence 0.931
  
−
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240184.png ; $\eta _ { i } - \eta _ { s }$ ; confidence 0.334
+
145. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741014.png ; $t ^ { 0 } \neq a ^ { 2 }$ ; confidence 0.931
  
−
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/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
  
−
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/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
  
−
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/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
  
−
149. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202808.png ; $F T op$ ; confidence 0.332
+
149. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
  
−
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/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
  
−
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104207.png ; $n = 1,2 , \dots$ ; confidence 0.331
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
  
−
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/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
  
−
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/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
  
−
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/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
  
−
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040271.png ; $p ^ { 4 }$ ; confidence 0.330
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763061.png ; $k [ G ] _ { \chi } = \{ f \in k [ G ] : f ( g b ) = \chi ( b ) f ( g ) \forall b \in B , g \in G \}$ ; confidence 0.930
  
−
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/a120/a120160/a1201601.png ; $u _ { i } ( t )$ ; confidence 0.930
  
−
157. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120209.png ; $H _ { c } ^ { p } ( X , F )$ ; confidence 0.930
  
−
158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040349.png ; $8$ ; confidence 0.330
+
158. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310136.png ; $R = ( \rho \otimes \rho ) ( R ) \in \operatorname { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.930
  
−
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021095.png ; $L$ ; confidence 0.330
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012020.png ; $\lambda _ { n } = n ^ { 1 / \rho } l ( n )$ ; confidence 0.930
  
−
160. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329
+
160. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c022370215.png ; $1$ ; confidence 0.929
  
−
161. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004012.png ; $n = 2$ ; confidence 0.929
  
−
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/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
  
−
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/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
  
−
164. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
164. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
  
−
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012043.png ; $W _ { 0 }$ ; confidence 0.325
+
165. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
  
−
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/f120/f120110/f12011058.png ; $\Delta _ { k }$ ; confidence 0.929
  
−
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/k110/k110070/k11007016.png ; $= \{ f : \pi ^ { - 1 } ( U ) \rightarrow k : f ( g b ) = f ( g ) \chi ( b ) , g \in G , b \in B \}$ ; confidence 0.929
  
−
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031010.png ; $N$ ; confidence 0.325
+
168. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001078.png ; $G$ ; confidence 0.929
  
−
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
+
169. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086830/s08683012.png ; $B _ { i } / B _ { i + 1 }$ ; confidence 0.929
  
−
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021085.png ; $C$ ; confidence 0.323
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929
  
−
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/a/a120/a120120/a12012072.png ; $( A , I )$ ; confidence 0.928
  
−
172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007012.png ; $\{ x _ { k } , a \}$ ; confidence 0.323
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011025.png ; $T ( 0 , n ) = 2 n$ ; confidence 0.928
  
−
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/d/d034/d034120/d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928
  
−
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/a010/a010210/a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928
  
−
175. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086020.png ; $\zeta : M ^ { * } \otimes _ { R } C \rightarrow \operatorname { Hom } _ { R } ( M , C )$ ; confidence 0.928
  
−
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/a/a110/a110010/a11001015.png ; $x$ ; confidence 0.928
  
−
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/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
  
−
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/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
  
−
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004033.png ; $\operatorname { to } \varphi$ ; confidence 0.319
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
  
−
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/n/n066/n066900/n06690053.png ; $C ^ { * } ( G , A )$ ; confidence 0.928
  
−
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/a130/a130050/a130050280.png ; $N _ { G } ^ { \# } ( x ) = \sum _ { n \leq x } G ^ { \# } ( n )$ ; confidence 0.928
  
−
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/a010810/a010810102.png ; $m < 2 n$ ; confidence 0.927
  
−
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007013.png ; $x \in X ^ { \prime }$ ; confidence 0.315
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927
  
−
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/a110/a110010/a110010284.png ; $C u = \lambda B u$ ; confidence 0.927
  
−
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/a010/a010210/a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927
  
−
186. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100277.png ; $\partial _ { r }$ ; confidence 0.315
+
186. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
  
−
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/a/a011/a011460/a01146041.png ; $X _ { y }$ ; confidence 0.927
  
−
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040599.png ; $E _ { S _ { P } }$ ; confidence 0.315
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084024.png ; $M ^ { * }$ ; confidence 0.927
  
−
189. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170107.png ; $j : X \times \Gamma \rightarrow H$ ; confidence 0.927
  
−
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/a010700/a01070026.png ; $( \alpha , c ) \in A \oplus C$ ; confidence 0.927
  
−
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/a010/a010800/a0108002.png ; $\overline { \Gamma }$ ; confidence 0.926
  
−
192. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650223.png ; $A _ { \alpha } = \langle A _ { \alpha } , \Omega \rangle$ ; confidence 0.926
  
−
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/a130070/a13007073.png ; $n ^ { \prime }$ ; confidence 0.926
  
−
194. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001057.png ; $0$ ; confidence 0.311
+
194. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
  
−
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/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
  
−
196. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k05552082.png ; $\Gamma 20$ ; confidence 0.310
+
196. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926
  
−
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/a/a120/a120050/a120050131.png ; $R \times R ^ { m }$ ; confidence 0.926
  
−
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310136.png ; $A$ ; confidence 0.309
+
198. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013071.png ; $D ^ { b } ( \Lambda )$ ; confidence 0.926
  
−
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/a130/a130060/a13006019.png ; $P _ { N } ( n )$ ; confidence 0.926
  
−
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/f/f040/f040370/f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925
  
−
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/q/q076/q076310/q076310111.png ; $A \otimes A$ ; confidence 0.925
  
−
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/a/a012/a012460/a012460143.png ; $Q _ { 1 }$ ; confidence 0.925
  
−
203. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $h$ ; confidence 0.307
+
203. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
  
−
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/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
  
−
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/j/j054/j054270/j05427040.png ; $Q = \left( \begin{array} { l l } { 0 } & { 1 } \\ { 1 } & { 0 } \end{array} \right)$ ; confidence 0.925
  
−
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010051.png ; $\sigma \in M$ ; confidence 0.307
+
206. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924
  
−
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046087.png ; $P _ { x } ( h )$ ; confidence 0.305
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924
  
−
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/a/a010/a010210/a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924
  
−
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/d/d031/d031830/d031830305.png ; $u _ { A } = u _ { B }$ ; confidence 0.924
  
−
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/a110170/a11017024.png ; $f +$ ; confidence 0.924
  
−
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/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
  
−
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/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
  
−
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/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
  
−
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002053.png ; $2 ^ { a + 2 }$ ; confidence 0.302
+
214. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
  
−
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040296.png ; $A / \Theta \in Q$ ; confidence 0.302
+
215. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l059250116.png ; $SK _ { 1 }$ ; confidence 0.924
  
−
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/a110/a110040/a110040105.png ; $L = O _ { A } ( C )$ ; confidence 0.924
  
−
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/c/c023/c023720/c02372067.png ; $f _ { D } ( z )$ ; confidence 0.924
  
−
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/o/o068/o068370/o06837070.png ; $\alpha \in \Delta$ ; confidence 0.924
  
−
219. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040751.png ; $r \in R$ ; confidence 0.924
  
−
220. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001075.png ; $r = A x - b$ ; confidence 0.924
  
−
221. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $\overline { U }$ ; confidence 0.299
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924
  
−
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/h/h047/h047410/h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924
  
−
223. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050107.png ; $\Delta$ ; confidence 0.298
+
223. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708024.png ; $b \in M$ ; confidence 0.923
  
−
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/a/a130/a130240/a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923
  
−
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040382.png ; $F \in Fi _ { D }$ ; confidence 0.298
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012013.png ; $v = ( v _ { j } )$ ; confidence 0.923
  
−
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010010.png ; $I$ ; confidence 0.297
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101608.png ; $n = 100,000$ ; confidence 0.923
  
−
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012035.png ; $W _ { a }$ ; confidence 0.297
+
227. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353065.png ; $p ^ { m }$ ; confidence 0.923
  
−
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040152.png ; $C \in | L$ ; confidence 0.296
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450162.png ; $P _ { k } ^ { 1 }$ ; confidence 0.923
  
−
229. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923
  
−
230. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010016.png ; $x \in I$ ; confidence 0.295
+
230. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412066.png ; $\{ H _ { r } ( X , A ) , f * , \partial \}$ ; confidence 0.923
  
−
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/a014/a014170/a014170106.png ; $( X , H )$ ; confidence 0.923
  
−
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/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
  
−
233. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
233. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
  
−
234. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $\phi _ { im }$ ; confidence 0.294
+
234. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
  
−
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012040.png ; $n = 0,1 , \ldots$ ; confidence 0.294
+
235. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
  
−
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/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
  
−
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/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
  
−
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/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
  
−
239. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
+
239. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
  
−
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/a010/a010120/a01012056.png ; $f ^ { \langle n _ { k } \rangle } ( \lambda _ { k } ) = 0$ ; confidence 0.923
  
−
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/d/d034/d034120/d034120244.png ; $H _ { c } ^ { n - p - 1 } ( X \backslash Y , \operatorname { Hom } ( F , \Omega ) )$ ; confidence 0.923
  
−
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/a010/a010120/a01012071.png ; $f ^ { \langle \nu _ { k } \rangle } ( 1 ) = 0$ ; confidence 0.923
  
−
243. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923
  
−
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/t/t130/t130140/t130140146.png ; $( I , \preceq )$ ; confidence 0.923
  
−
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004048.png ; $d _ { 2 }$ ; confidence 0.284
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011660/a011660124.png ; $x \in B$ ; confidence 0.923
  
−
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/a/a010/a010680/a01068048.png ; $Q ( n )$ ; confidence 0.923
  
−
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/a/a130/a130050/a130050157.png ; $c > 1$ ; confidence 0.923
  
−
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/a/a130/a130080/a130080109.png ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922
  
−
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/l/l058/l058610/l05861076.png ; $G _ { C }$ ; confidence 0.922
  
−
250. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004059.png ; $F m$ ; confidence 0.283
+
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
  
−
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040723.png ; $P ^ { \prime }$ ; confidence 0.282
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
  
−
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/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
  
−
253. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
+
253. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922
  
−
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/c/c023/c023330/c02333037.png ; $X \rightarrow Y$ ; confidence 0.922
  
−
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/a110010/a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922
  
−
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/a130240/a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922
  
−
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040235.png ; $i \in I$ ; confidence 0.922
  
−
258. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007075.png ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921
  
−
259. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921
  
−
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/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
  
−
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/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
  
−
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
+
262. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
  
−
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/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
  
−
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/a/a010/a010810/a01081048.png ; $C ^ { * } ( I )$ ; confidence 0.921
  
−
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/d/d034/d034120/d034120175.png ; $H ^ { p } ( X , F ) \times H _ { c } ^ { n - p } ( X , \operatorname { Hom } ( F , \Omega ) ) \rightarrow H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.921
  
−
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/a120/a120050/a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921
  
−
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
+
267. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r07767017.png ; $S K _ { 1 } ( D )$ ; confidence 0.921
  
−
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/c/c025/c025930/c02593025.png ; $y \in W$ ; confidence 0.920
  
−
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
+
269. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $i$ ; confidence 0.920
  
−
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/a110/a110040/a110040219.png ; $\varphi _ { L } : A \hookrightarrow P ^ { 7 }$ ; confidence 0.920
  
−
271. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130017.png ; $( * ) : 1 \rightarrow B _ { \alpha } \rightarrow G / K _ { \alpha } ^ { \prime } \rightarrow J ^ { \alpha } \rightarrow 1$ ; confidence 0.920
  
−
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/s/s085/s085590/s085590634.png ; $\Delta = ( F _ { x x } ^ { \prime \prime } ) _ { 0 } ( F _ { y y } ^ { \prime \prime } ) _ { 0 } - ( F _ { x y } ^ { \prime \prime } ) _ { 0 } ^ { 2 }$ ; confidence 0.920
  
−
273. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058920/l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032034.png ; $n _ { S } < n$ ; confidence 0.920
  
−
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/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
  
−
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/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
  
−
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/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
  
−
277. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268
+
277. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
  
−
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040573.png ; $21$ ; confidence 0.266
+
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085034.png ; $K G$ ; confidence 0.920
  
−
279. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029051.png ; $\alpha X$ ; confidence 0.266
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919
  
−
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040583.png ; $1$ ; confidence 0.266
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095075.png ; $\omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.919
  
−
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/a/a130/a130040/a130040728.png ; $P \subseteq P ^ { \prime }$ ; confidence 0.919
  
−
282. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
+
282. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
  
−
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/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
  
−
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/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
  
−
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/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
  
−
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022079.png ; $\| \alpha _ { j k }$ ; confidence 0.264
+
286. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
  
−
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/a110/a110010/a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919
  
−
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/a120/a120050/a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919
  
−
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/a110/a110160/a11016066.png ; $C _ { m }$ ; confidence 0.919
  
−
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/a011/a011640/a01164011.png ; $p ^ { ( 1 ) } = ( K _ { V } ^ { 2 } ) + 1 = \operatorname { deg } ( c _ { 1 } ^ { 2 } ) + 1$ ; confidence 0.919
  
−
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/c/c023/c023470/c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918
  
−
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/a/a110/a110400/a11040025.png ; $T ^ { \odot } = \{ T ^ { * } ( t ) | _ { X ^ { \odot } } \} _ { t \geq 0 }$ ; confidence 0.918
  
−
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
  
−
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024089.png ; $g > 1$ ; confidence 0.918
  
−
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/a110/a110300/a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918
  
−
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/a010/a010950/a01095061.png ; $L \in M$ ; confidence 0.918
  
−
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/t/t130/t130130/t13013042.png ; $( T , F )$ ; confidence 0.918
  
−
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/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
  
−
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010258.png ; $r = H . | A | . | x$ ; confidence 0.258
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
  
−
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/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918

Latest revision as of 09:58, 17 October 2019

List

1. a01238018.png ; $m \geq n$ ; confidence 0.939

2. a011450243.png ; $X _ { \eta }$ ; confidence 0.938

3. a11028068.png ; $y z \in E ( D )$ ; confidence 0.938

4. a0114801.png ; $f _ { x } = 0$ ; confidence 0.938

5. a12017046.png ; $\beta ( \alpha , x ) = R \beta _ { 0 } ( \alpha ) \Phi ( x )$ ; confidence 0.938

6. b130010123.png ; $V _ { n }$ ; confidence 0.938

7. a01052017.png ; $\| A ^ { - 1 } \|$ ; confidence 0.938

8. d034120344.png ; $\Lambda _ { \zeta } F ( z , \zeta )$ ; confidence 0.938

9. a01146075.png ; $C ( X ) / C _ { hom } ( X )$ ; confidence 0.938

10. a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938

11. b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938

12. r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938

13. a110680145.png ; $\alpha _ { i j }$ ; confidence 0.938

14. a12013047.png ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938

15. h047690110.png ; $< 6$ ; confidence 0.938

16. s08706039.png ; $S K _ { 1 }$ ; confidence 0.938

17. a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937

18. a11004066.png ; $d _ { 1 } \geq 2$ ; confidence 0.937

19. a12020029.png ; $p ( t ) = t ^ { N } - 1$ ; confidence 0.937

20. b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937

21. c02467038.png ; $D _ { 4 }$ ; confidence 0.937

22. a01046028.png ; $\rho ( x , h ) = \operatorname { sup } \{ | \xi | : x + \xi h \in D \}$ ; confidence 0.937

23. a01012067.png ; $\{ \nu _ { k } \} \cup \{ \mu _ { n } \} = \{ n \}$ ; confidence 0.937

24. t120010141.png ; $7$ ; confidence 0.937

25. g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937

26. o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937

27. p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937

28. p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937

29. r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937

30. a01095087.png ; $\omega ^ { i } = d x ^ { i } , \quad \omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.937

31. a11004077.png ; $A = C ^ { 2 } / \Lambda$ ; confidence 0.937

32. a120160177.png ; $x _ { j t } , y _ { i t } \geq 0$ ; confidence 0.937

33. a011640115.png ; $( K _ { V } ^ { 2 } ) > 0$ ; confidence 0.937

34. a11017015.png ; $\Omega _ { t }$ ; confidence 0.937

35. c02218013.png ; $r + 1$ ; confidence 0.937

36. s085590376.png ; $x _ { 0 } ^ { \mu - 1 } + x _ { 0 } x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.937

37. a110040216.png ; $A / ( - 1 ) _ { A }$ ; confidence 0.936

38. a01164084.png ; $H ^ { i } ( V , Z )$ ; confidence 0.936

39. a13024025.png ; $y , \beta , e$ ; confidence 0.936

40. a011480114.png ; $b _ { n }$ ; confidence 0.936

41. a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936

42. a130040182.png ; $b \in G$ ; confidence 0.936

43. a12008035.png ; $s , t \in R$ ; confidence 0.936

44. l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936

45. l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936

46. a110420154.png ; $K _ { 0 }$ ; confidence 0.936

47. a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936

48. c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936

49. c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936

50. m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936

51. o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936

52. o07001011.png ; $G / G _ { X }$ ; confidence 0.936

53. t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936

54. v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936

55. a12007098.png ; $2 m$ ; confidence 0.936

56. w098100182.png ; $p ( A )$ ; confidence 0.936

57. a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936

58. a130240403.png ; $SS _ { e }$ ; confidence 0.936

59. w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935

60. g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935

61. a011300105.png ; $A = A$ ; confidence 0.935

62. a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935

63. a11004068.png ; $d _ { 1 } \geq 3$ ; confidence 0.935

64. a011480110.png ; $g ( x ) = b _ { 0 } x ^ { n } + b _ { 1 } x ^ { n - 1 } + \ldots + b _ { n }$ ; confidence 0.935

65. a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935

66. l05859081.png ; $L ( n , R )$ ; confidence 0.935

67. c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935

68. p07333012.png ; $d S _ { n }$ ; confidence 0.935

69. j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935

70. a13024059.png ; $( i , j )$ ; confidence 0.935

71. a1104906.png ; $L _ { 0 } ( X ) = \{ A \in L ( X ) : \operatorname { dom } A = X \}$ ; confidence 0.935

72. w12009071.png ; $t ^ { \lambda }$ ; confidence 0.935

73. a01018021.png ; $20$ ; confidence 0.935

74. a01082018.png ; $H _ { C } ( F ( X ) , Y )$ ; confidence 0.935

75. d034120299.png ; $A ( F )$ ; confidence 0.935

76. n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935

77. j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935

78. w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934

79. d034120479.png ; $f \in F ^ { \prime }$ ; confidence 0.934

80. s085590381.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.934

81. d03249017.png ; $p \subset q$ ; confidence 0.934

82. a0112101.png ; $\operatorname { Ai } ( x ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \infty } \operatorname { cos } ( \frac { t ^ { 3 } } { 3 } + x t ) d t$ ; confidence 0.934

83. s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934

84. c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934

85. d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934

86. f040850122.png ; $A \rightarrow w$ ; confidence 0.934

87. g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934

88. h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934

89. l06083045.png ; $b \in Q$ ; confidence 0.934

90. a011490172.png ; $y \in K$ ; confidence 0.934

91. a13024032.png ; $m \times p$ ; confidence 0.934

92. a011450163.png ; $( X )$ ; confidence 0.934

93. a011380118.png ; $\mathfrak { A } ^ { * } = \mathfrak { B } ^ { * }$ ; confidence 0.934

94. b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933

95. a01130094.png ; $\Delta _ { i } \neq 0$ ; confidence 0.933

96. a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933

97. a01121029.png ; $z | \rightarrow \infty$ ; confidence 0.933

98. b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933

99. a011380194.png ; $\& , \vee , \overline { \square }$ ; confidence 0.933

100. a01029042.png ; $x ( \xi )$ ; confidence 0.933

101. a13013054.png ; $t _ { n }$ ; confidence 0.933

102. c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933

103. d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933

104. k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933

105. o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933

106. s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933

107. a0103309.png ; $\beta _ { r } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } d F ( x )$ ; confidence 0.933

108. a11030039.png ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933

109. c02593042.png ; $\phi ( g )$ ; confidence 0.933

110. a1201109.png ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933

111. a01150075.png ; $a , b , c$ ; confidence 0.933

112. a01105032.png ; $f ^ { - 1 } ( S _ { \alpha } )$ ; confidence 0.933

113. a01121056.png ; $x _ { 1 } ( \alpha )$ ; confidence 0.933

114. a01149044.png ; $f _ { 0 } ^ { 1 } ( x ) , \ldots , f _ { 0 } ^ { k } ( x )$ ; confidence 0.933

115. l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933

116. a130060129.png ; $90$ ; confidence 0.933

117. a13008011.png ; $U \leq f ( X ) / h ( X )$ ; confidence 0.932

118. a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932

119. q07631068.png ; $( g , \phi )$ ; confidence 0.932

120. f04082082.png ; $F _ { u } ( X , Y )$ ; confidence 0.932

121. t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932

122. a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932

123. c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932

124. r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932

125. r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932

126. s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932

127. t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932

128. l058590189.png ; $x , y , x y \in U _ { 1 }$ ; confidence 0.932

129. a13017022.png ; $\Pi \circ B$ ; confidence 0.932

130. a011380183.png ; $f _ { 3 } , f _ { 4 }$ ; confidence 0.931

131. p07370068.png ; $k [ G ]$ ; confidence 0.931

132. a01138063.png ; $\infty$ ; confidence 0.931

133. s085590517.png ; $G \backslash H$ ; confidence 0.931

134. b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931

135. c1103309.png ; $p _ { i } \in S$ ; confidence 0.931

136. s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931

137. t093150306.png ; $= C$ ; confidence 0.931

138. a011650493.png ; $\mathfrak { F } ( d _ { 1 } / \Phi , \ldots , d _ { k } / \Phi ) = T \Leftrightarrow$ ; confidence 0.931

139. a120050129.png ; $\frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( t , u ) \frac { \partial u } { \partial x _ { j } } = f ( t , u )$ ; confidence 0.931

140. u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931

141. a01130062.png ; $\gamma ( x )$ ; confidence 0.931

142. a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931

143. a01138032.png ; $x \& y$ ; confidence 0.931

144. a01086029.png ; $M ^ { * } \rightarrow M ^ { * * * } \rightarrow M ^ { * }$ ; confidence 0.931

145. h04741014.png ; $t ^ { 0 } \neq a ^ { 2 }$ ; confidence 0.931

146. a01064020.png ; $d ( m )$ ; confidence 0.930

147. c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930

148. c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930

149. h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930

150. m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930

151. m11013015.png ; $E S$ ; confidence 0.930

152. m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930

153. t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930

154. z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930

155. r07763061.png ; $k [ G ] _ { \chi } = \{ f \in k [ G ] : f ( g b ) = \chi ( b ) f ( g ) \forall b \in B , g \in G \}$ ; confidence 0.930

156. a1201601.png ; $u _ { i } ( t )$ ; confidence 0.930

157. d034120209.png ; $H _ { c } ^ { p } ( X , F )$ ; confidence 0.930

158. q076310136.png ; $R = ( \rho \otimes \rho ) ( R ) \in \operatorname { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.930

159. a01012020.png ; $\lambda _ { n } = n ^ { 1 / \rho } l ( n )$ ; confidence 0.930

160. c022370215.png ; $1$ ; confidence 0.929

161. a13004012.png ; $n = 2$ ; confidence 0.929

162. a1202208.png ; $| x | | \leq 1$ ; confidence 0.929

163. a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929

164. r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929

165. w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929

166. f12011058.png ; $\Delta _ { k }$ ; confidence 0.929

167. k11007016.png ; $= \{ f : \pi ^ { - 1 } ( U ) \rightarrow k : f ( g b ) = f ( g ) \chi ( b ) , g \in G , b \in B \}$ ; confidence 0.929

168. o07001078.png ; $G$ ; confidence 0.929

169. s08683012.png ; $B _ { i } / B _ { i + 1 }$ ; confidence 0.929

170. a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929

171. a12012072.png ; $( A , I )$ ; confidence 0.928

172. a12011025.png ; $T ( 0 , n ) = 2 n$ ; confidence 0.928

173. d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928

174. a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928

175. a01086020.png ; $\zeta : M ^ { * } \otimes _ { R } C \rightarrow \operatorname { Hom } _ { R } ( M , C )$ ; confidence 0.928

176. a11001015.png ; $x$ ; confidence 0.928

177. b1104909.png ; $P _ { 1 }$ ; confidence 0.928

178. r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928

179. t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928

180. n06690053.png ; $C ^ { * } ( G , A )$ ; confidence 0.928

181. a130050280.png ; $N _ { G } ^ { \# } ( x ) = \sum _ { n \leq x } G ^ { \# } ( n )$ ; confidence 0.928

182. a010810102.png ; $m < 2 n$ ; confidence 0.927

183. h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927

184. a110010284.png ; $C u = \lambda B u$ ; confidence 0.927

185. a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927

186. m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927

187. a01146041.png ; $X _ { y }$ ; confidence 0.927

188. a01084024.png ; $M ^ { * }$ ; confidence 0.927

189. a014170107.png ; $j : X \times \Gamma \rightarrow H$ ; confidence 0.927

190. a01070026.png ; $( \alpha , c ) \in A \oplus C$ ; confidence 0.927

191. a0108002.png ; $\overline { \Gamma }$ ; confidence 0.926

192. a011650223.png ; $A _ { \alpha } = \langle A _ { \alpha } , \Omega \rangle$ ; confidence 0.926

193. a13007073.png ; $n ^ { \prime }$ ; confidence 0.926

194. k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926

195. s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926

196. l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926

197. a120050131.png ; $R \times R ^ { m }$ ; confidence 0.926

198. t13013071.png ; $D ^ { b } ( \Lambda )$ ; confidence 0.926

199. a13006019.png ; $P _ { N } ( n )$ ; confidence 0.926

200. f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925

201. q076310111.png ; $A \otimes A$ ; confidence 0.925

202. a012460143.png ; $Q _ { 1 }$ ; confidence 0.925

203. n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925

204. q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925

205. j05427040.png ; $Q = \left( \begin{array} { l l } { 0 } & { 1 } \\ { 1 } & { 0 } \end{array} \right)$ ; confidence 0.925

206. e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924

207. a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924

208. a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924

209. d031830305.png ; $u _ { A } = u _ { B }$ ; confidence 0.924

210. a11017024.png ; $f +$ ; confidence 0.924

211. a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924

212. c0223301.png ; $a ( r )$ ; confidence 0.924

213. g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924

214. m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924

215. l059250116.png ; $SK _ { 1 }$ ; confidence 0.924

216. a110040105.png ; $L = O _ { A } ( C )$ ; confidence 0.924

217. c02372067.png ; $f _ { D } ( z )$ ; confidence 0.924

218. o06837070.png ; $\alpha \in \Delta$ ; confidence 0.924

219. a130040751.png ; $r \in R$ ; confidence 0.924

220. a11001075.png ; $r = A x - b$ ; confidence 0.924

221. a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924

222. h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924

223. s08708024.png ; $b \in M$ ; confidence 0.923

224. a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923

225. a12012013.png ; $v = ( v _ { j } )$ ; confidence 0.923

226. a1101608.png ; $n = 100,000$ ; confidence 0.923

227. d03353065.png ; $p ^ { m }$ ; confidence 0.923

228. a011450162.png ; $P _ { k } ^ { 1 }$ ; confidence 0.923

229. a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923

230. d03412066.png ; $\{ H _ { r } ( X , A ) , f * , \partial \}$ ; confidence 0.923

231. a014170106.png ; $( X , H )$ ; confidence 0.923

232. a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923

233. h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923

234. h0481908.png ; $\nu = 0$ ; confidence 0.923

235. j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923

236. p12017067.png ; $I$ ; confidence 0.923

237. s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923

238. s09017045.png ; $E$ ; confidence 0.923

239. t093150395.png ; $A \wedge B$ ; confidence 0.923

240. a01012056.png ; $f ^ { \langle n _ { k } \rangle } ( \lambda _ { k } ) = 0$ ; confidence 0.923

241. d034120244.png ; $H _ { c } ^ { n - p - 1 } ( X \backslash Y , \operatorname { Hom } ( F , \Omega ) )$ ; confidence 0.923

242. a01012071.png ; $f ^ { \langle \nu _ { k } \rangle } ( 1 ) = 0$ ; confidence 0.923

243. a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923

244. t130140146.png ; $( I , \preceq )$ ; confidence 0.923

245. a011660124.png ; $x \in B$ ; confidence 0.923

246. a01068048.png ; $Q ( n )$ ; confidence 0.923

247. a130050157.png ; $c > 1$ ; confidence 0.923

248. a130080109.png ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922

249. l05861076.png ; $G _ { C }$ ; confidence 0.922

250. b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922

251. c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922

252. f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922

253. e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922

254. c02333037.png ; $X \rightarrow Y$ ; confidence 0.922

255. a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922

256. a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922

257. a130040235.png ; $i \in I$ ; confidence 0.922

258. a13007075.png ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921

259. a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921

260. a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921

261. d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921

262. i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921

263. l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921

264. a01081048.png ; $C ^ { * } ( I )$ ; confidence 0.921

265. d034120175.png ; $H ^ { p } ( X , F ) \times H _ { c } ^ { n - p } ( X , \operatorname { Hom } ( F , \Omega ) ) \rightarrow H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.921

266. a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921

267. r07767017.png ; $S K _ { 1 } ( D )$ ; confidence 0.921

268. c02593025.png ; $y \in W$ ; confidence 0.920

269. d03121061.png ; $i$ ; confidence 0.920

270. a110040219.png ; $\varphi _ { L } : A \hookrightarrow P ^ { 7 }$ ; confidence 0.920

271. a01130017.png ; $( * ) : 1 \rightarrow B _ { \alpha } \rightarrow G / K _ { \alpha } ^ { \prime } \rightarrow J ^ { \alpha } \rightarrow 1$ ; confidence 0.920

272. s085590634.png ; $\Delta = ( F _ { x x } ^ { \prime \prime } ) _ { 0 } ( F _ { y y } ^ { \prime \prime } ) _ { 0 } - ( F _ { x y } ^ { \prime \prime } ) _ { 0 } ^ { 2 }$ ; confidence 0.920

273. a11032034.png ; $n _ { S } < n$ ; confidence 0.920

274. t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920

275. b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920

276. e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920

277. p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920

278. b11085034.png ; $K G$ ; confidence 0.920

279. a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919

280. a01095075.png ; $\omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.919

281. a130040728.png ; $P \subseteq P ^ { \prime }$ ; confidence 0.919

282. d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919

283. e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919

284. l05715028.png ; $3 N + k + m$ ; confidence 0.919

285. p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919

286. t12006058.png ; $N \geq Z$ ; confidence 0.919

287. a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919

288. a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919

289. a11016066.png ; $C _ { m }$ ; confidence 0.919

290. a01164011.png ; $p ^ { ( 1 ) } = ( K _ { V } ^ { 2 } ) + 1 = \operatorname { deg } ( c _ { 1 } ^ { 2 } ) + 1$ ; confidence 0.919

291. c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918

292. a11040025.png ; $T ^ { \odot } = \{ T ^ { * } ( t ) | _ { X ^ { \odot } } \} _ { t \geq 0 }$ ; confidence 0.918

293. a010210115.png ; $\alpha$ ; confidence 0.918

294. a01024089.png ; $g > 1$ ; confidence 0.918

295. a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918

296. a01095061.png ; $L \in M$ ; confidence 0.918

297. t13013042.png ; $( T , F )$ ; confidence 0.918

298. a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918

299. c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918

300. c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918

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
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