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(AUTOMATIC EDIT of page 10 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 10 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014014.png ; $\tilde { y } ( x ) = \operatorname { exp } ( - \epsilon ) f ( x \operatorname { exp } ( - \epsilon ) )$ ; confidence 0.405
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1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
  
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2. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340135.png ; $\alpha _ { H } ( \tilde { x } _ { + } ) - \alpha _ { H } ( \tilde { x } _ { - } ) = 1$ ; confidence 0.404
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2. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
  
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3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240452.png ; $P$ ; confidence 0.403
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3. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
  
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4. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740324.png ; $( \alpha _ { e } ) _ { é \in E }$ ; confidence 0.403
+
4. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
  
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5. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518096.png ; $T _ { s ( x ) } ( E ) = \Delta _ { s ( x ) } \oplus T _ { s ( x ) } ( F _ { x } )$ ; confidence 0.402
+
5. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
  
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6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013036.png ; $\partial / \partial x = \partial / \partial t _ { 1 }$ ; confidence 0.401
+
6. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
  
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7. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i05226072.png ; $Z \in G$ ; confidence 0.401
+
7. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
  
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8. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
+
8. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
  
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9. 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
+
9. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
  
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10. 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
+
10. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
  
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11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
+
11. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
  
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12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
+
12. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
  
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13. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
+
13. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
  
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14. 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
+
14. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
  
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15. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575
  
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16. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575
  
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17. 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
+
17. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
  
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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/t/t092/t092800/t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575
  
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19. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780377.png ; $1 B S G$ ; confidence 0.389
+
19. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575
  
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20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574
  
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21. 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
+
21. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001014.png ; $5$ ; confidence 0.574
  
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22. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574
  
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23. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573
  
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24. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572
  
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25. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
+
25. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
  
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26. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382
+
26. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061200/l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572
  
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27. 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
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013066.png ; $5$ ; confidence 0.571
  
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28. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050970/i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382
+
28. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571
  
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29. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013059.png ; $i$ ; confidence 0.570
  
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30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
+
30. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570
  
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31. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
+
31. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570
  
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32. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
+
32. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $x \in Y ( u )$ ; confidence 0.570
  
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33. 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
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569
  
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34. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
34. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
  
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35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
35. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
  
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36. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
+
36. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
  
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37. 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
+
37. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569
  
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38. 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
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569
  
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39. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k055850103.png ; $D _ { \alpha }$ ; confidence 0.374
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
  
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40. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
  
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41. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372
+
41. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460182.png ; $z \in N$ ; confidence 0.568
  
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42. 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
+
42. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
  
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43. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s0870309.png ; $f _ { h } \in U _ { k }$ ; confidence 0.371
+
43. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
  
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44. 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
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
  
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45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in C$ ; confidence 0.369
+
45. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565
  
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46. 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
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565
  
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47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018054.png ; $s = 1$ ; confidence 0.564
  
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48. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
  
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49. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563
  
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50. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010277.png ; $C$ ; confidence 0.563
  
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51. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233040.png ; $b _ { 0 }$ ; confidence 0.363
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210125.png ; $L ( a )$ ; confidence 0.563
  
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52. 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
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562
  
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53. 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
+
53. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010140.png ; $\geq 7$ ; confidence 0.562
  
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54. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
  
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55. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
+
55. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
  
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56. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094440/t09444040.png ; $u _ { m } = u ( M _ { m } )$ ; confidence 0.360
+
56. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055800/k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562
  
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57. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150132.png ; $\hat { V }$ ; confidence 0.359
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020038.png ; $d _ { n } d _ { n + 1 } = 0 , n = 0 , \pm 1 , \pm 2 , \dots$ ; confidence 0.562
  
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58. 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
+
58. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
  
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59. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $v _ { n } \in G$ ; confidence 0.357
+
59. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561
  
−
60. 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
+
60. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
  
−
61. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
61. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
  
−
62. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001085.png ; $0$ ; confidence 0.355
+
62. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
  
−
63. 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
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240337.png ; $1$ ; confidence 0.560
  
−
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013088.png ; $t$ ; confidence 0.354
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100202.png ; $v$ ; confidence 0.560
  
−
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031081.png ; $\{ z \in A : z \alpha = \alpha z \text { for each } \alpha \in A \}$ ; confidence 0.559
  
−
66. 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
+
66. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063060/m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559
  
−
67. 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
+
67. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559
  
−
68. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352
+
68. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
  
−
69. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065460/m06546014.png ; $( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$ ; confidence 0.351
+
69. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $k \geq n - i t$ ; confidence 0.558
  
−
70. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348
+
70. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
  
−
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240276.png ; $\leq F _ { \alpha ; q , x - \gamma }$ ; confidence 0.345
+
71. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556
  
−
72. 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
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550175.png ; $X = 0$ ; confidence 0.554
  
−
73. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
+
73. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554
  
−
74. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060310/l06031040.png ; $R = \{ \alpha \in K : \operatorname { mod } _ { K } ( \alpha ) \leq 1 \}$ ; confidence 0.342
+
74. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554
  
−
75. 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
+
75. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
  
−
76. 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
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100203.png ; $D \subset G$ ; confidence 0.553
  
−
77. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711048.png ; $\phi _ { i } / \partial x _ { Y }$ ; confidence 0.338
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553
  
−
78. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062360/m06236012.png ; $T _ { i j }$ ; confidence 0.337
+
78. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
  
−
79. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
+
79. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $\overline { w }$ ; confidence 0.553
  
−
80. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010220.png ; $\lambda _ { j }$ ; confidence 0.553
  
−
81. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050123.png ; $c \rightarrow N$ ; confidence 0.335
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552
  
−
82. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715031.png ; $\mu$ ; confidence 0.335
+
82. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
  
−
83. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021051.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 1 } { z } + f ( z ) ) d z$ ; confidence 0.552
  
−
84. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
  
−
85. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202808.png ; $F T op$ ; confidence 0.332
+
85. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062390/m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551
  
−
86. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
  
−
87. 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
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240182.png ; $H _ { A }$ ; confidence 0.550
  
−
88. 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
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013085.png ; $L$ ; confidence 0.550
  
−
89. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
  
−
90. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329
+
90. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
  
−
91. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
+
91. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $A \simeq K$ ; confidence 0.550
  
−
92. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001099.png ; $_ { \nabla } ( G / K )$ ; confidence 0.326
+
92. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
  
−
93. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
93. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549
  
−
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548
  
−
95. 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
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240332.png ; $Z = Y X$ ; confidence 0.548
  
−
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240339.png ; $\Sigma _ { 1 } = X _ { 4 } ^ { \prime } \Sigma X _ { 4 }$ ; confidence 0.322
+
96. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
  
−
97. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
+
97. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294012.png ; $Y \times t$ ; confidence 0.546
  
−
98. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546
  
−
99. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001033.png ; $[ \xi ^ { \alpha } , \xi ^ { b } ] = 2 \epsilon _ { \alpha b c } \xi ^ { c }$ ; confidence 0.322
+
99. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
  
−
100. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
+
100. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063100/m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545
  
−
101. 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
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001014.png ; $R el$ ; confidence 0.544
  
−
102. 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
+
102. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022500/c02250014.png ; $j \leq n$ ; confidence 0.544
  
−
103. 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
+
103. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095630/u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544
  
−
104. 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
+
104. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
  
−
105. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024073.png ; $n = I K$ ; confidence 0.542
  
−
106. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100277.png ; $\partial _ { r }$ ; confidence 0.315
+
106. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225705.png ; $x \in D _ { A }$ ; confidence 0.542
  
−
107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010028.png ; $\nabla _ { i g j k } = \gamma _ { i } g _ { j k }$ ; confidence 0.315
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
  
−
108. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
108. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542
  
−
109. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023045.png ; $\therefore M \rightarrow F$ ; confidence 0.313
+
109. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541
  
−
110. 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
+
110. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541
  
−
111. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
+
111. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541
  
−
112. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001057.png ; $0$ ; confidence 0.311
+
112. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
  
−
113. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k05552082.png ; $\Gamma 20$ ; confidence 0.310
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540
  
−
114. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
+
114. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540
  
−
115. 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
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539
  
−
116. 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
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
  
−
117. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $h$ ; confidence 0.307
+
117. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
  
−
118. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011051.png ; $M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$ ; confidence 0.307
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539
  
−
119. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
+
119. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010117.png ; $D$ ; confidence 0.538
  
−
120. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
  
−
121. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
+
121. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c02760032.png ; $( u = const )$ ; confidence 0.538
  
−
122. 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
+
122. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711026.png ; $\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$ ; confidence 0.538
  
−
123. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691017.png ; $a ^ { X } = e ^ { X \operatorname { ln } \alpha }$ ; confidence 0.301
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n$ ; confidence 0.537
  
−
124. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940100.png ; $- \infty \leq w \leq + \infty$ ; confidence 0.301
+
124. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537
  
−
125. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021100/c02110012.png ; $x \in \operatorname { Dom } A$ ; confidence 0.300
+
125. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055580/k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537
  
−
126. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
+
126. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062070/m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537
  
−
127. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
+
127. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
  
−
128. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $\overline { U }$ ; confidence 0.299
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
  
−
129. 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
+
129. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535
  
−
130. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295
+
130. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535
  
−
131. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
  
−
132. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $\phi _ { im }$ ; confidence 0.294
+
132. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533
  
−
133. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070150/o07015054.png ; $\alpha ^ { n } < b ^ { n + 1 }$ ; confidence 0.291
+
133. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930169.png ; $t _ { \gamma }$ ; confidence 0.533
  
−
134. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
  
−
135. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380384.png ; $\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$ ; confidence 0.290
+
135. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532
  
−
136. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
+
136. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065510/m06551020.png ; $n _ { \Delta } = 1$ ; confidence 0.532
  
−
137. 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
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $4$ ; confidence 0.531
  
−
138. 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
+
138. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450371.png ; $\{ fd ( M )$ ; confidence 0.531
  
−
139. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287
+
139. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531
  
−
140. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010468.png ; $P s$ ; confidence 0.529
  
−
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001064.png ; $\rho ( | A ^ { - 1 } \delta A | ) < 1$ ; confidence 0.528
  
−
142. 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
+
142. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025450/c02545035.png ; $T ^ { * }$ ; confidence 0.527
  
−
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $x$ ; confidence 0.527
  
−
144. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
+
144. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526
  
−
145. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
+
145. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526
  
−
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021092.png ; $w _ { 3 }$ ; confidence 0.525
  
−
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757085.png ; $z$ ; confidence 0.525
  
−
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
+
148. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525
  
−
149. 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
+
149. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524
  
−
150. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
+
150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015025.png ; $w \in T V$ ; confidence 0.524
  
−
151. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100109.png ; $\overline { X } - X$ ; confidence 0.524
  
−
152. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
152. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830290.png ; $A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$ ; confidence 0.523
  
−
153. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058920/l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065500/m06550014.png ; $P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$ ; confidence 0.523
  
−
154. 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
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021069.png ; $( - 1 / z ) d z$ ; confidence 0.522
  
−
155. 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
+
155. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522
  
−
156. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268
+
156. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
  
−
157. 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
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001080.png ; $| v |$ ; confidence 0.521
  
−
158. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
+
158. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635084.png ; $a \perp b$ ; confidence 0.521
  
−
159. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
+
159. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973508.png ; $A = N \oplus s$ ; confidence 0.521
  
−
160. 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
+
160. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
  
−
161. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150187.png ; $\alpha : H ^ { n } ( : Z ) \rightarrow H ^ { n + 3 } ( : Z _ { 2 } )$ ; confidence 0.262
+
161. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249054.png ; $F _ { \infty } ^ { s }$ ; confidence 0.520
  
−
162. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262
+
162. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $T$ ; confidence 0.520
  
−
163. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
+
163. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $E X _ { k } = a$ ; confidence 0.520
  
−
164. 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
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519
  
−
165. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259
+
165. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e03516059.png ; $\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$ ; confidence 0.519
  
−
166. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
+
166. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $a _ { y }$ ; confidence 0.519
  
−
167. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087770/s08777049.png ; $V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$ ; confidence 0.259
+
167. https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010160.png ; $R ^ { k } p \times ( F )$ ; confidence 0.519
  
−
168. 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
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420119.png ; $x \in H ^ { + }$ ; confidence 0.518
  
−
169. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638089.png ; $\pi : B \rightarrow G ^ { k } ( V )$ ; confidence 0.258
+
169. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518
  
−
170. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250054.png ; $L ^ { \prime }$ ; confidence 0.256
+
170. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517
  
−
171. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837057.png ; $x _ { C }$ ; confidence 0.256
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002042.png ; $( \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , \frac { q ^ { d } - 1 } { q ^ { - 1 } } , \frac { q ^ { d - 1 } - 1 } { q ^ { - 1 } } )$ ; confidence 0.517
  
−
172. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370045.png ; $[ f _ { G } ]$ ; confidence 0.256
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516
  
−
173. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $D \Re \subset M$ ; confidence 0.255
+
173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
  
−
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071024.png ; $A = A _ { 1 } \cap \ldots \cap A _ { n }$ ; confidence 0.254
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020021.png ; $\phi = ( \phi _ { 1 } , \ldots , \phi _ { n } )$ ; confidence 0.516
  
−
175. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180124.png ; $7$ ; confidence 0.254
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $( 1 )$ ; confidence 0.515
  
−
176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030053.png ; $\sum _ { i = 1 } ^ { n } S _ { i } S _ { i } ^ { * } < I$ ; confidence 0.253
+
176. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021550/c0215505.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } ( V )$ ; confidence 0.515
  
−
177. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052980/i05298049.png ; $L ^ { \prime } ( T _ { x } M )$ ; confidence 0.252
+
177. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515
  
−
178. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680094.png ; $\tau _ { 0 } ^ { e ^ { 3 } }$ ; confidence 0.252
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015420/b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514
  
−
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251
+
179. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
  
−
180. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082073.png ; $X \in Ob \odot$ ; confidence 0.251
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $\sim 2$ ; confidence 0.512
  
−
181. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037092.png ; $\sum \frac { 1 } { 1 }$ ; confidence 0.251
+
181. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009046.png ; $1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$ ; confidence 0.512
  
−
182. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110910/b11091027.png ; $\frac { \partial N _ { i } } { \partial t } + u _ { i } \nabla N _ { i } = G _ { i } - L _ { i }$ ; confidence 0.250
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010255.png ; $\delta A = - H . | A | \cdot \operatorname { diag } ( \operatorname { sgn } ( x _ { i } ) )$ ; confidence 0.511
  
−
183. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073830/p07383050.png ; $E \subset X = R ^ { \prime }$ ; confidence 0.250
+
183. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511
  
−
184. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076850/q07685043.png ; $E [ \tau _ { j } ^ { S } - \tau _ { j } ^ { \dot { e } } ] ^ { 2 + \gamma }$ ; confidence 0.250
+
184. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082150/r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511
  
−
185. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033190/d03319041.png ; $t _ { 8 } + 1 / 2 = t _ { n } + \tau / 2$ ; confidence 0.248
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021017.png ; $\omega = p d z , \quad \pi = q d z , \quad \alpha = \alpha ( z )$ ; confidence 0.510
  
−
186. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006043.png ; $\int _ { 0 } ^ { \infty } \frac { | ( V \phi | \lambda \rangle ^ { 2 } } { \lambda } _ { d } \lambda < E _ { 0 }$ ; confidence 0.248
+
186. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510
  
−
187. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076500/q07650033.png ; $3 r ( L _ { 1 } \cap L _ { 2 } ) = 3 _ { r } ( L _ { 1 } ) + 3 r ( L _ { 2 } )$ ; confidence 0.248
+
187. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260032.png ; $\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$ ; confidence 0.510
  
−
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301308.png ; $s l _ { 2 }$ ; confidence 0.247
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510
  
−
189. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055630/k0556303.png ; $| m K _ { V ^ { \prime } } | ^ { J }$ ; confidence 0.246
+
189. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $Z ^ { * }$ ; confidence 0.508
  
−
190. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010217.png ; $1 / | y ^ { i } _ { x ^ { i } } ^ { * }$ ; confidence 0.245
+
190. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110155.png ; $L _ { h } u _ { k } = f _ { k }$ ; confidence 0.508
  
−
191. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517056.png ; $\| \hat { A } - A \| \leq \delta$ ; confidence 0.245
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018028.png ; $\sigma > c$ ; confidence 0.508
  
−
192. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055080/k05508019.png ; $\nu _ { 0 } \in C ^ { n }$ ; confidence 0.245
+
192. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $I _ { X }$ ; confidence 0.507
  
−
193. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o070010110.png ; $X = \cup _ { \alpha } X _ { \alpha }$ ; confidence 0.245
+
193. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\pi$ ; confidence 0.507
  
−
194. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140116.png ; $q R$ ; confidence 0.245
+
194. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544031.png ; $\Phi _ { t } = id$ ; confidence 0.507
  
−
195. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099011.png ; $V _ { Q }$ ; confidence 0.244
+
195. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796016.png ; $q 2 = 6$ ; confidence 0.507
  
−
196. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130209.png ; $v ( \lambda ) = ( y _ { 0 } + \lambda ^ { - 1 } y _ { - 1 } + \ldots + \lambda ^ { - p } y - p ) y _ { 0 } ^ { - 1 / 2 }$ ; confidence 0.241
+
196. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507
  
−
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013045.png ; $= \frac { 1 } { 2 } \operatorname { Tr } ( \sum _ { r = 0 } ^ { j } ( j - r ) Q _ { r } Q _ { k + j - r } + \frac { 1 } { 2 } \sum _ { r = 0 } ^ { j } ( r - k ) Q _ { r } Q _ { k + j - r } )$ ; confidence 0.240
+
197. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506
  
−
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240527.png ; $( n$ ; confidence 0.239
+
198. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l05916065.png ; $A ^ { ( 0 ) }$ ; confidence 0.506
  
−
199. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097870/w09787060.png ; $\prod _ { \nu } : \prod _ { i \in I _ { \nu } } f _ { i } : = \sum _ { G } \prod _ { e \in G } < f _ { e _ { 1 } } f _ { e _ { 2 } } > : \prod _ { i \notin [ G ] } f _ { i : }$ ; confidence 0.238
+
199. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450221.png ; $a T \rightarrow \infty$ ; confidence 0.506
  
−
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013020.png ; $0.00$ ; confidence 0.237
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; $T ^ { 2 }$ ; confidence 0.505
  
−
201. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026450/c02645091.png ; $X _ { 1 }$ ; confidence 0.237
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300103.png ; $( - ) ^ { * } : C ^ { 0 p } \rightarrow C$ ; confidence 0.505
  
−
202. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540091.png ; $\Psi _ { 1 } ( Y ) / \hat { q } ( Y ) \leq \psi ( Y ) \leq \Psi _ { 2 } ( Y ) / \hat { q } ( Y )$ ; confidence 0.236
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505
  
−
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047070/h0470704.png ; $\alpha _ { i k } = \overline { a _ { k i } }$ ; confidence 0.235
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505
  
−
204. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405038.png ; $\theta _ { 2 } ( v \pm \tau ) = e ^ { - i \pi \tau } \cdot e ^ { - 2 i \pi v } \cdot \theta _ { 2 } ( v )$ ; confidence 0.234
+
204. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008051.png ; $P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$ ; confidence 0.505
  
−
205. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317062.png ; $\tilde { D } = E \{ M | m = 0 \} = \frac { ( \sum _ { r = 1 } ^ { N - n } r \frac { C _ { N - r } ^ { n } } { C _ { N } ^ { n } } p _ { r } ) } { P \{ m = 0 \} }$ ; confidence 0.234
+
205. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026014.png ; $d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$ ; confidence 0.505
  
−
206. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037052.png ; $= 0 \text { as. } \cdot P _ { \theta _ { 0 } } ]$ ; confidence 0.233
+
206. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505
  
−
207. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s091910121.png ; $T _ { i } = C A ^ { i } B ^ { i } B$ ; confidence 0.233
+
207. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093340/t0933407.png ; $S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$ ; confidence 0.505
  
−
208. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020190/c02019023.png ; $C A$ ; confidence 0.232
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013049.png ; $k$ ; confidence 0.504
  
−
209. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380303.png ; $\Pi \stackrel { D } { 3 } = F _ { \sigma \delta }$ ; confidence 0.232
+
209. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504
  
−
210. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556018.png ; $D \times D \in \Gamma ^ { 2 }$ ; confidence 0.230
+
210. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180209.png ; $\varepsilon$ ; confidence 0.504
  
−
211. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780328.png ; $im ( \Omega _ { S C } \rightarrow \Omega _ { O } )$ ; confidence 0.230
+
211. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796020.png ; $q 2 = 4$ ; confidence 0.504
  
−
212. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001041.png ; $A | D _ { + } \rangle - A ^ { - 1 } \langle D _ { - } \} = ( A ^ { 2 } - A ^ { - 2 } ) \langle D _ { 0 } \}$ ; confidence 0.230
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018042.png ; $\alpha \neq - 1 , - 2 , \dots ,$ ; confidence 0.504
  
−
213. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065160/m06516021.png ; $\operatorname { ess } \operatorname { sup } _ { X } | f ( x ) | = \operatorname { lim } _ { n \rightarrow \infty } ( \frac { \int | f ( x ) | ^ { n } d M _ { X } } { \int _ { X } d M _ { x } } )$ ; confidence 0.229
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010233.png ; $\lambda$ ; confidence 0.503
  
−
214. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316053.png ; $\sum _ { k = 1 } ^ { \infty } p _ { 1 } ( x _ { k } ) p _ { 2 } ( y _ { k } ) \leq p _ { 1 } \overline { Q } p _ { 2 } ( u ) + \epsilon$ ; confidence 0.229
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420122.png ; $y \in H$ ; confidence 0.503
  
−
215. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704050.png ; $n + = n - = n$ ; confidence 0.228
+
215. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m064590192.png ; $\alpha p$ ; confidence 0.503
  
−
216. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.228
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502
  
−
217. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041043.png ; $C X Y$ ; confidence 0.226
+
217. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091730/s09173026.png ; $H ^ { n - k } \cap S ^ { k }$ ; confidence 0.502
  
−
218. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073530/p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226
+
218. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501
  
−
219. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c1102508.png ; $20$ ; confidence 0.225
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501
  
−
220. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025700/c02570021.png ; $I \rightarrow \cup _ { i \in l } J _ { i }$ ; confidence 0.225
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240336.png ; $Z = X \Gamma + F$ ; confidence 0.500
  
−
221. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026450/c02645033.png ; $\sum _ { K \in \mathscr { K } } \lambda _ { K } \chi _ { K } ( i ) = \chi _ { I } ( i ) \quad \text { for all } i \in I$ ; confidence 0.223
+
221. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500
  
−
222. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371091.png ; $n _ { 1 } < n _ { 2 } .$ ; confidence 0.222
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060185.png ; $< 2 a$ ; confidence 0.500
  
−
223. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g0434707.png ; $\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$ ; confidence 0.221
+
223. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s0901702.png ; $\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$ ; confidence 0.500
  
−
224. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460130.png ; $X \equiv 0$ ; confidence 0.220
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240356.png ; $E ( Z _ { 1 } ) = 0$ ; confidence 0.500
  
−
225. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080740/r0807408.png ; $x _ { n m _ { n } } \rightarrow ( 0 )$ ; confidence 0.220
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / MS _ { e }$ ; confidence 0.500
  
−
226. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240383.png ; $H ^ { \prime }$ ; confidence 0.219
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210130.png ; $\Omega ( a ) = \operatorname { dim } L ( a / ( \omega ) )$ ; confidence 0.499
  
−
227. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110270/b11027042.png ; $P ( s S ) = P ( S )$ ; confidence 0.219
+
227. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200104.png ; $m$ ; confidence 0.499
  
−
228. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175051.png ; $Z _ { h }$ ; confidence 0.217
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499
  
−
229. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s087420178.png ; $\mathfrak { A } _ { \infty } = \overline { U _ { V \subset R ^ { 3 } } } A ( \mathcal { H } _ { V } )$ ; confidence 0.216
+
229. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097290/w09729017.png ; $A _ { n } ( x _ { 0 } )$ ; confidence 0.499
  
−
230. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l058430107.png ; $g ^ { \prime } / ( 1 - u ) g ^ { \prime } = \overline { g }$ ; confidence 0.215
+
230. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c02229022.png ; $+ \frac { 1 } { 2 } \sum _ { 0 < u \leq \sqrt { x / 3 } } ( [ \sqrt { x - 2 u ^ { 2 } } ] - u ) + O ( \sqrt { x } )$ ; confidence 0.498
  
−
231. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566071.png ; $\nu = a + x + 2 [ \frac { n - t - x - \alpha } { 2 } ] + 1$ ; confidence 0.213
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380172.png ; $C ( S ^ { n } )$ ; confidence 0.498
  
−
232. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340202.png ; $\xi _ { p } \in ( \nu F ^ { m } ) p$ ; confidence 0.212
+
232. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051040/i05104010.png ; $3 a$ ; confidence 0.497
  
−
233. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031730/d03173088.png ; $| u - v | \leq \operatorname { inf } _ { w ^ { \prime } \in K } | u - w |$ ; confidence 0.210
+
233. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497
  
−
234. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082070/r08207022.png ; $R _ { i l k } ^ { q } = - R _ { k l } ^ { q }$ ; confidence 0.210
+
234. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497
  
−
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013042.png ; $X _ { i } \in \operatorname { sl } _ { 2 } ( C )$ ; confidence 0.209
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240445.png ; $y _ { 1 } , \dots , y _ { p }$ ; confidence 0.497
  
−
236. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280129.png ; $f : X ^ { \cdot } \rightarrow Y$ ; confidence 0.209
+
236. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022920/c02292049.png ; $\operatorname { lm } c _ { 3 } = 0$ ; confidence 0.496
  
−
237. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031470/d0314706.png ; $| \hat { b } _ { n } | = 1$ ; confidence 0.209
+
237. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; $74$ ; confidence 0.496
  
−
238. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001098.png ; $k$ ; confidence 0.208
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031042.png ; $k$ ; confidence 0.496
  
−
239. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431097.png ; $| x$ ; confidence 0.207
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100204.png ; $D = k$ ; confidence 0.495
  
−
240. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f042060121.png ; $\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$ ; confidence 0.207
+
240. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490127.png ; $\frac { d z } { d t } = - A ( t ) ^ { * } Z$ ; confidence 0.495
  
−
241. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495
  
−
242. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016650/b0166503.png ; $2 \int \int _ { G } ( x \frac { \partial y } { \partial u } \frac { \partial y } { \partial v } ) d u d v = \oint _ { \partial G } ( x y d y )$ ; confidence 0.204
+
242. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494
  
−
243. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380296.png ; $\sum _ { \sim } D _ { n + 1 } ^ { 0 }$ ; confidence 0.204
+
243. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003082.png ; $M ( E ) = \vec { X }$ ; confidence 0.493
  
−
244. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t09430077.png ; $\left. \begin{array} { c c c } { T A } & { \stackrel { T f } { S } } & { T B } \\ { \alpha \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { f } } & { B } \end{array} \right.$ ; confidence 0.204
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492
  
−
245. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100805.png ; $\{ A _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.200
+
245. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052000/i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491
  
−
246. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740146.png ; $\alpha \rightarrow \dot { b }$ ; confidence 0.200
+
246. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070118.png ; $Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$ ; confidence 0.491
  
−
247. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199
+
247. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022045.png ; $\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$ ; confidence 0.491
  
−
248. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033420/d03342015.png ; $\sigma _ { k }$ ; confidence 0.198
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020026.png ; $D ( \phi ) = D ( \phi _ { 1 } ) \ldots D ( \phi _ { n } ) = D ( \psi _ { 1 } ) \ldots D ( \psi _ { m } ) = D ( \psi )$ ; confidence 0.490
  
−
249. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470182.png ; $e _ { v } \leq \mathfrak { e } _ { v } + 1$ ; confidence 0.197
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022036.png ; $\sigma _ { ess } ( T )$ ; confidence 0.490
  
−
250. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { x }$ ; confidence 0.196
+
250. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n0679601.png ; $12$ ; confidence 0.490
  
−
251. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315041.png ; $f : S ^ { m } \rightarrow S ^ { n }$ ; confidence 0.195
+
251. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490
  
−
252. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160187.png ; $\dot { u } = A _ { n } u$ ; confidence 0.195
+
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489
  
−
253. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e1200103.png ; $A \stackrel { f } { \rightarrow } B = A \stackrel { é } { \rightarrow } f [ A ] \stackrel { m } { \rightarrow } B$ ; confidence 0.193
+
253. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023050.png ; $G ( u )$ ; confidence 0.489
  
−
254. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
+
254. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020102.png ; $V \not \equiv W$ ; confidence 0.489
  
−
255. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100205.png ; $P = \cup _ { n _ { 1 } , \ldots , n _ { k } , \ldots } \cap _ { k = 1 } ^ { \infty } E _ { n _ { 1 } } \square \ldots x _ { k }$ ; confidence 0.192
+
255. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544062.png ; $d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$ ; confidence 0.489
  
−
256. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539020.png ; $\rho ( \theta , \delta ) = \int _ { Y } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x )$ ; confidence 0.192
+
256. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024033.png ; $h ^ { S * } ( . ) \approx \overline { E } \times ( . )$ ; confidence 0.489
  
−
257. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110490/c1104902.png ; $\sqrt { 2 }$ ; confidence 0.191
+
257. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092720/t09272013.png ; $\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$ ; confidence 0.489
  
−
258. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010011.png ; $\left\{ \begin{array} { l l } { \gamma \geq \frac { 1 } { 2 } } & { \text { forn } = 1 } \\ { \gamma > 0 } & { \text { forn } = 2 } \\ { \gamma \geq 0 } & { \text { forn } \geq 3 } \end{array} \right.$ ; confidence 0.191
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010184.png ; $| \hat { \lambda } - \lambda |$ ; confidence 0.488
  
−
259. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120432.png ; $\operatorname { limsup } _ { n \rightarrow + \infty } \frac { 1 } { n } \operatorname { log } + P _ { N } ( f ) \geq h ( f )$ ; confidence 0.191
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002046.png ; $= \operatorname { min } _ { k \in P } c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } )$ ; confidence 0.488
  
−
260. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
+
260. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346022.png ; $\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$ ; confidence 0.488
  
−
261. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010125.png ; $\dot { i } \leq n$ ; confidence 0.190
+
261. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240749.png ; $\prod x$ ; confidence 0.487
  
−
262. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189
+
262. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $d \in C$ ; confidence 0.487
  
−
263. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010308.png ; $v _ { ( E ) } = v$ ; confidence 0.188
+
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090342.png ; $\left( \begin{array} { c } { h } \\ { i } \end{array} \right) = \frac { h ( h - 1 ) \ldots ( h - i + 1 ) } { i ! }$ ; confidence 0.487
  
−
264. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010100.png ; $O = G / \operatorname { Sp } ( 1 ) . K$ ; confidence 0.187
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021098.png ; $\sum _ { k = 1 } ^ { g } ( A _ { k } B _ { k } ^ { \prime } - B _ { k } A _ { k } ^ { \prime } ) = 2 \pi i \sum _ { j = 1 } ^ { N } c _ { j } \int _ { L _ { j } } \omega _ { 1 }$ ; confidence 0.487
  
−
265. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030060/d03006013.png ; $+ \frac { 1 } { 2 \alpha } \int _ { x - w t } ^ { x + c t } \psi ( \xi ) d \xi + \frac { 1 } { 2 } [ \phi ( x + a t ) + \phi ( x - a t ) ]$ ; confidence 0.187
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010189.png ; $i = 1 , \dots , n$ ; confidence 0.485
  
−
266. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637012.png ; $\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$ ; confidence 0.187
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240308.png ; $\hat { \eta } _ { \Omega } = X \hat { \beta }$ ; confidence 0.485
  
−
267. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485
  
−
268. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185
+
268. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $x$ ; confidence 0.485
  
−
269. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010111.png ; $p < m$ ; confidence 0.484
  
−
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013090.png ; $N$ ; confidence 0.183
+
270. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018075.png ; $A ( \vec { G } )$ ; confidence 0.484
  
−
271. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530133.png ; $\Pi ^ { N } \tau$ ; confidence 0.183
+
271. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092250/t09225012.png ; $g ^ { ( i ) }$ ; confidence 0.484
  
−
272. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202506.png ; $h _ { n } = \int _ { a } ^ { b } x ^ { n } h ( x ) d x$ ; confidence 0.183
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010266.png ; $2$ ; confidence 0.484
  
−
273. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $\hat { v } ^ { ( S ) }$ ; confidence 0.182
+
273. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483
  
−
274. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025970/c02597042.png ; $e ^ { i } ( e _ { j } ) = \delta _ { j } ^ { s }$ ; confidence 0.182
+
274. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092240/t0922406.png ; $k = R / m$ ; confidence 0.483
  
−
275. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240311.png ; $\hat { \eta } _ { i j } = y _ { i j }$ ; confidence 0.483
  
−
276. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180
+
276. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237023.png ; $N = L . L$ ; confidence 0.482
  
−
277. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197046.png ; $U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$ ; confidence 0.179
+
277. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052410/i05241032.png ; $y = Arc$ ; confidence 0.482
  
−
278. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { E B } b )$ ; confidence 0.179
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240123.png ; $i = 1,2 , \dots$ ; confidence 0.482
  
−
279. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ { i \psi }$ ; confidence 0.179
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240519.png ; $Z _ { 13 }$ ; confidence 0.481
  
−
280. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p0728502.png ; $_ { k }$ ; confidence 0.179
+
280. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560136.png ; $P Q = P \times Q$ ; confidence 0.481
  
−
281. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062019.png ; $\alpha \in C \cup \{ \infty \}$ ; confidence 0.176
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450204.png ; $\theta _ { T } ^ { * }$ ; confidence 0.481
  
−
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $C$ ; confidence 0.175
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240501.png ; $9$ ; confidence 0.481
  
−
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013033.png ; $\phi - ^ { 1 } ( \frac { \partial } { \partial x } - P _ { 0 z } ) \phi _ { - } = \frac { \partial } { \partial x } - P$ ; confidence 0.173
+
283. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $X \times F$ ; confidence 0.480
  
−
284. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c11016063.png ; $( a b \alpha ) ^ { \alpha } = \alpha ^ { \alpha } b ^ { \alpha } \alpha ^ { \alpha }$ ; confidence 0.173
+
284. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110130/k11013020.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.480
  
−
285. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021470/c02147033.png ; $\tilde { Y } \square _ { j } ^ { ( k ) } \in Y _ { j }$ ; confidence 0.172
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480
  
−
286. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172
+
286. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055910/k05591019.png ; $\sum _ { j = 1 } ^ { n } b _ { j } r j \in Z$ ; confidence 0.479
  
−
287. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068010.png ; $x \frac { \operatorname { lim } _ { x \rightarrow D } u ( x ) = f ( y _ { 0 } ) } { x \in D }$ ; confidence 0.172
+
287. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479
  
−
288. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s08703096.png ; $\operatorname { max } _ { n \atop n } \| u ^ { n } \| _ { H } \leq e ^ { C _ { 1 } T } \{ \| \phi \| _ { H } + C _ { 0 } \sum _ { n } \tau \| f ^ { n + 1 } \| _ { H } \}$ ; confidence 0.172
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $18$ ; confidence 0.479
  
−
289. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335708.png ; $\sum _ { i \in I } \prod _ { j \in J ( i ) } \alpha _ { i j } = \prod _ { \phi \in \Phi } \sum _ { i \in I } \alpha _ { i \phi ( i ) }$ ; confidence 0.170
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010236.png ; $\hat { \lambda }$ ; confidence 0.479
  
−
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021066.png ; $\omega 1,2$ ; confidence 0.479
  
−
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021054.png ; $a - x \neq 0$ ; confidence 0.478
  
−
292. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087270/s08727063.png ; $V _ { x } 0 ( \lambda ) \sim \operatorname { exp } [ i \lambda S ( x ^ { 0 } ) ] \sum _ { k = 0 } ^ { \infty } ( \sum _ { l = 0 } ^ { N } \alpha _ { k l } \lambda ^ { - r _ { k } } ( \operatorname { ln } \lambda ) ^ { l } \}$ ; confidence 0.167
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024019.png ; $y$ ; confidence 0.478
  
−
293. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087790/s08779013.png ; $RP ^ { \infty }$ ; confidence 0.165
+
293. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
  
−
294. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010105.png ; $SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) ) , SO ( k ) / SO ( k - 4 ) \times Sp ( 1 )$ ; confidence 0.164
+
294. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544022.png ; $O ( \epsilon _ { N } )$ ; confidence 0.478
  
−
295. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065030/m06503013.png ; $\tilde { y } = \alpha _ { 21 } x + \alpha _ { 22 } y + \alpha _ { 23 } z + b$ ; confidence 0.163
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064014.png ; $\Omega$ ; confidence 0.477
  
−
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013058.png ; $s = \sum _ { i > 0 } C \lambda ^ { i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus \sum _ { i > 0 } C \lambda ^ { - i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus C _ { i }$ ; confidence 0.161
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013032.png ; $\phi$ ; confidence 0.476
  
−
297. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160
+
297. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476
  
−
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159
+
298. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476
  
−
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013013.png ; $\frac { \partial } { \partial t _ { m } } P - \frac { \partial } { \partial x } Q ^ { ( m ) } + [ P , Q ^ { ( r ) } ] = 0 \Leftrightarrow$ ; confidence 0.156
+
299. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476
  
−
300. https://www.encyclopediaofmath.org/legacyimages/z/z099/z099250/z09925023.png ; $001 c 23 + c 02 c 31 + c 03 c 12 \neq 0$ ; confidence 0.156
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240305.png ; $4$ ; confidence 0.475

Revision as of 10:05, 2 September 2019

List

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

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

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

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

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

6. l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

34. g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

66. m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

82. i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

133. p072930169.png ; $t _ { \gamma }$ ; confidence 0.533

134. a13018015.png ; $\tau \in V o c$ ; confidence 0.532

135. m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532

136. m06551020.png ; $n _ { \Delta } = 1$ ; confidence 0.532

137. a1300105.png ; $4$ ; confidence 0.531

138. d032450371.png ; $\{ fd ( M )$ ; confidence 0.531

139. s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531

140. c026010468.png ; $P s$ ; confidence 0.529

141. a11001064.png ; $\rho ( | A ^ { - 1 } \delta A | ) < 1$ ; confidence 0.528

142. c02545035.png ; $T ^ { * }$ ; confidence 0.527

143. a130240329.png ; $x$ ; confidence 0.527

144. c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526

145. m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526

146. a01021092.png ; $w _ { 3 }$ ; confidence 0.525

147. c02757085.png ; $z$ ; confidence 0.525

148. t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525

149. i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524

150. l12015025.png ; $w \in T V$ ; confidence 0.524

151. a1100109.png ; $\overline { X } - X$ ; confidence 0.524

152. d031830290.png ; $A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$ ; confidence 0.523

153. m06550014.png ; $P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$ ; confidence 0.523

154. a01021069.png ; $( - 1 / z ) d z$ ; confidence 0.522

155. b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522

156. r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522

157. a11001080.png ; $| v |$ ; confidence 0.521

158. v09635084.png ; $a \perp b$ ; confidence 0.521

159. w0973508.png ; $A = N \oplus s$ ; confidence 0.521

160. f1202409.png ; $t \mapsto t + T$ ; confidence 0.520

161. m06249054.png ; $F _ { \infty } ^ { s }$ ; confidence 0.520

162. m13022071.png ; $T$ ; confidence 0.520

163. p074970164.png ; $E X _ { k } = a$ ; confidence 0.520

164. a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519

165. e03516059.png ; $\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$ ; confidence 0.519

166. g04465025.png ; $a _ { y }$ ; confidence 0.519

167. k056010160.png ; $R ^ { k } p \times ( F )$ ; confidence 0.519

168. a110420119.png ; $x \in H ^ { + }$ ; confidence 0.518

169. r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518

170. b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517

171. a11002042.png ; $( \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , \frac { q ^ { d } - 1 } { q ^ { - 1 } } , \frac { q ^ { d - 1 } - 1 } { q ^ { - 1 } } )$ ; confidence 0.517

172. a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516

173. b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516

174. a01020021.png ; $\phi = ( \phi _ { 1 } , \ldots , \phi _ { n } )$ ; confidence 0.516

175. a13013026.png ; $( 1 )$ ; confidence 0.515

176. c0215505.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } ( V )$ ; confidence 0.515

177. w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515

178. b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514

179. c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513

180. a11038040.png ; $\sim 2$ ; confidence 0.512

181. d13009046.png ; $1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$ ; confidence 0.512

182. a110010255.png ; $\delta A = - H . | A | \cdot \operatorname { diag } ( \operatorname { sgn } ( x _ { i } ) )$ ; confidence 0.511

183. p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511

184. r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511

185. a01021017.png ; $\omega = p d z , \quad \pi = q d z , \quad \alpha = \alpha ( z )$ ; confidence 0.510

186. p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510

187. t09260032.png ; $\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$ ; confidence 0.510

188. a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510

189. d12023076.png ; $Z ^ { * }$ ; confidence 0.508

190. l059110155.png ; $L _ { h } u _ { k } = f _ { k }$ ; confidence 0.508

191. a01018028.png ; $\sigma > c$ ; confidence 0.508

192. i05003048.png ; $I _ { X }$ ; confidence 0.507

193. i130030142.png ; $\pi$ ; confidence 0.507

194. m06544031.png ; $\Phi _ { t } = id$ ; confidence 0.507

195. n06796016.png ; $q 2 = 6$ ; confidence 0.507

196. s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507

197. h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506

198. l05916065.png ; $A ^ { ( 0 ) }$ ; confidence 0.506

199. s087450221.png ; $a T \rightarrow \infty$ ; confidence 0.506

200. a130240547.png ; $T ^ { 2 }$ ; confidence 0.505

201. a1300103.png ; $( - ) ^ { * } : C ^ { 0 p } \rightarrow C$ ; confidence 0.505

202. a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505

203. a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505

204. f04008051.png ; $P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$ ; confidence 0.505

205. s09026014.png ; $d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$ ; confidence 0.505

206. t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505

207. t0933407.png ; $S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$ ; confidence 0.505

208. a13013049.png ; $k$ ; confidence 0.504

209. b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504

210. c120180209.png ; $\varepsilon$ ; confidence 0.504

211. n06796020.png ; $q 2 = 4$ ; confidence 0.504

212. a01018042.png ; $\alpha \neq - 1 , - 2 , \dots ,$ ; confidence 0.504

213. a110010233.png ; $\lambda$ ; confidence 0.503

214. a110420122.png ; $y \in H$ ; confidence 0.503

215. m064590192.png ; $\alpha p$ ; confidence 0.503

216. a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502

217. s09173026.png ; $H ^ { n - k } \cap S ^ { k }$ ; confidence 0.502

218. h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501

219. a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501

220. a130240336.png ; $Z = X \Gamma + F$ ; confidence 0.500

221. i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500

222. i130060185.png ; $< 2 a$ ; confidence 0.500

223. s0901702.png ; $\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$ ; confidence 0.500

224. a130240356.png ; $E ( Z _ { 1 } ) = 0$ ; confidence 0.500

225. a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / MS _ { e }$ ; confidence 0.500

226. a010210130.png ; $\Omega ( a ) = \operatorname { dim } L ( a / ( \omega ) )$ ; confidence 0.499

227. t1200104.png ; $m$ ; confidence 0.499

228. a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499

229. w09729017.png ; $A _ { n } ( x _ { 0 } )$ ; confidence 0.499

230. c02229022.png ; $+ \frac { 1 } { 2 } \sum _ { 0 < u \leq \sqrt { x / 3 } } ( [ \sqrt { x - 2 u ^ { 2 } } ] - u ) + O ( \sqrt { x } )$ ; confidence 0.498

231. c023380172.png ; $C ( S ^ { n } )$ ; confidence 0.498

232. i05104010.png ; $3 a$ ; confidence 0.497

233. k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497

234. s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497

235. a130240445.png ; $y _ { 1 } , \dots , y _ { p }$ ; confidence 0.497

236. c02292049.png ; $\operatorname { lm } c _ { 3 } = 0$ ; confidence 0.496

237. e12002023.png ; $74$ ; confidence 0.496

238. a12031042.png ; $k$ ; confidence 0.496

239. a1100204.png ; $D = k$ ; confidence 0.495

240. l059490127.png ; $\frac { d z } { d t } = - A ( t ) ^ { * } Z$ ; confidence 0.495

241. a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495

242. f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494

243. l11003082.png ; $M ( E ) = \vec { X }$ ; confidence 0.493

244. a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492

245. i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491

246. o070070118.png ; $Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$ ; confidence 0.491

247. o07022045.png ; $\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$ ; confidence 0.491

248. a01020026.png ; $D ( \phi ) = D ( \phi _ { 1 } ) \ldots D ( \phi _ { n } ) = D ( \psi _ { 1 } ) \ldots D ( \psi _ { m } ) = D ( \psi )$ ; confidence 0.490

249. a12022036.png ; $\sigma _ { ess } ( T )$ ; confidence 0.490

250. n0679601.png ; $12$ ; confidence 0.490

251. p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490

252. b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489

253. b13023050.png ; $G ( u )$ ; confidence 0.489

254. e120020102.png ; $V \not \equiv W$ ; confidence 0.489

255. m06544062.png ; $d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$ ; confidence 0.489

256. s12024033.png ; $h ^ { S * } ( . ) \approx \overline { E } \times ( . )$ ; confidence 0.489

257. t09272013.png ; $\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$ ; confidence 0.489

258. a110010184.png ; $| \hat { \lambda } - \lambda |$ ; confidence 0.488

259. d12002046.png ; $= \operatorname { min } _ { k \in P } c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } )$ ; confidence 0.488

260. d03346022.png ; $\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$ ; confidence 0.488

261. m063240749.png ; $\prod x$ ; confidence 0.487

262. s08338085.png ; $d \in C$ ; confidence 0.487

263. w120090342.png ; $\left( \begin{array} { c } { h } \\ { i } \end{array} \right) = \frac { h ( h - 1 ) \ldots ( h - i + 1 ) } { i ! }$ ; confidence 0.487

264. a01021098.png ; $\sum _ { k = 1 } ^ { g } ( A _ { k } B _ { k } ^ { \prime } - B _ { k } A _ { k } ^ { \prime } ) = 2 \pi i \sum _ { j = 1 } ^ { N } c _ { j } \int _ { L _ { j } } \omega _ { 1 }$ ; confidence 0.487

265. a110010189.png ; $i = 1 , \dots , n$ ; confidence 0.485

266. a130240308.png ; $\hat { \eta } _ { \Omega } = X \hat { \beta }$ ; confidence 0.485

267. d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485

268. g0432802.png ; $x$ ; confidence 0.485

269. a110010111.png ; $p < m$ ; confidence 0.484

270. d13018075.png ; $A ( \vec { G } )$ ; confidence 0.484

271. t09225012.png ; $g ^ { ( i ) }$ ; confidence 0.484

272. a110010266.png ; $2$ ; confidence 0.484

273. r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483

274. t0922406.png ; $k = R / m$ ; confidence 0.483

275. a130240311.png ; $\hat { \eta } _ { i j } = y _ { i j }$ ; confidence 0.483

276. c02237023.png ; $N = L . L$ ; confidence 0.482

277. i05241032.png ; $y = Arc$ ; confidence 0.482

278. a130240123.png ; $i = 1,2 , \dots$ ; confidence 0.482

279. a130240519.png ; $Z _ { 13 }$ ; confidence 0.481

280. p075560136.png ; $P Q = P \times Q$ ; confidence 0.481

281. s087450204.png ; $\theta _ { T } ^ { * }$ ; confidence 0.481

282. a130240501.png ; $9$ ; confidence 0.481

283. g04301029.png ; $X \times F$ ; confidence 0.480

284. k11013020.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.480

285. a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480

286. k05591019.png ; $\sum _ { j = 1 } ^ { n } b _ { j } r j \in Z$ ; confidence 0.479

287. p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479

288. s08533026.png ; $18$ ; confidence 0.479

289. a110010236.png ; $\hat { \lambda }$ ; confidence 0.479

290. a01021066.png ; $\omega 1,2$ ; confidence 0.479

291. a01021054.png ; $a - x \neq 0$ ; confidence 0.478

292. a13024019.png ; $y$ ; confidence 0.478

293. b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478

294. u09544022.png ; $O ( \epsilon _ { N } )$ ; confidence 0.478

295. a11064014.png ; $\Omega$ ; confidence 0.477

296. a13013032.png ; $\phi$ ; confidence 0.476

297. c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476

298. g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476

299. s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476

300. a130240305.png ; $4$ ; confidence 0.475

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