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(AUTOMATIC EDIT of page 6 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 6 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(5 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420109.png ; $x , y \in A$ ; confidence 0.906
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1. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120257.png ; $| z | < \sigma$ ; confidence 0.996
  
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2. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
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2. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090449.png ; $G ( m , 1 , n )$ ; confidence 0.996
  
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3. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
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3. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120301.png ; $\Lambda ( f )$ ; confidence 0.996
  
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4. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906
+
4. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103072.png ; $\Phi _ { k } ( S , G )$ ; confidence 0.996
  
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5. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032016.png ; $R _ { 0 } ^ { ( i ) } ( z )$ ; confidence 0.996
  
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6. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010173.png ; $A ^ { + }$ ; confidence 0.996
  
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7. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121094.png ; $q = - z$ ; confidence 0.996
  
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8. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370138.png ; $R ( X )$ ; confidence 0.996
  
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9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081039.png ; $x ( t )$ ; confidence 0.996
  
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10. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906
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10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018045.png ; $g ( s )$ ; confidence 0.996
  
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11. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906
+
11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996
  
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12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600158.png ; $H _ { 1 } = L _ { 1 }$ ; confidence 0.996
  
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13. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060970/l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081026.png ; $m ( \leq n )$ ; confidence 0.996
  
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14. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905
+
14. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996
  
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15. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004029.png ; $d = \sqrt { \operatorname { deg } \phi _ { L } }$ ; confidence 0.996
  
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16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a0109302.png ; $10 ^ { 8 }$ ; confidence 0.996
  
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17. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
+
17. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996
  
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18. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040091.png ; $t \mapsto T ^ { * } ( t ) x ^ { * }$ ; confidence 0.996
  
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19. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031052.png ; $B ( K ) / M ( K )$ ; confidence 0.996
  
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20. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035015.png ; $\phi _ { \lambda } ( \Lambda ( x , y , t ) )$ ; confidence 0.996
  
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21. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
+
21. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001056.png ; $F _ { 3 }$ ; confidence 0.996
  
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22. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
+
22. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996
  
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23. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996
  
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24. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
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24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010107.png ; $n \geq 0$ ; confidence 0.996
  
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25. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996
  
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26. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996
  
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27. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013024.png ; $g ( z )$ ; confidence 0.996
  
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28. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
  
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29. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996
  
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30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996
  
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31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
+
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996
  
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32. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996
  
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33. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
  
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34. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
+
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996
  
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35. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
+
35. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021520/c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996
  
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36. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
+
36. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660241.png ; $C = C ( f )$ ; confidence 0.996
  
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37. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
+
37. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140162.png ; $X \in V ( B )$ ; confidence 0.996
  
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38. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
+
38. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996
  
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39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
+
39. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996
  
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40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
+
40. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996
  
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41. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899
+
41. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996
  
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42. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
+
42. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996
  
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43. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
+
43. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038060/f03806015.png ; $V$ ; confidence 0.996
  
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44. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
+
44. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996
  
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45. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
+
45. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $I V _ { 2 }$ ; confidence 0.996
  
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46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996
  
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47. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
+
47. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996
  
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48. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
+
48. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996
  
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49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
+
49. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $D$ ; confidence 0.996
  
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50. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
50. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996
  
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51. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
+
51. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996
  
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52. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
+
52. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k05503063.png ; $T ( X )$ ; confidence 0.996
  
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53. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059710/l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996
  
−
54. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
+
54. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062330/m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996
  
−
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
+
55. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996
  
−
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
+
56. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996
  
−
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
+
57. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063370/m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996
  
−
58. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
+
58. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996
  
−
59. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
+
59. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m06470068.png ; $\partial V _ { t }$ ; confidence 0.996
  
−
60. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895
+
60. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663062.png ; $0 < r - s < k$ ; confidence 0.996
  
−
61. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
+
61. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074070/p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996
  
−
62. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
+
62. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996
  
−
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
+
63. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076670/q07667033.png ; $R [ x ]$ ; confidence 0.996
  
−
64. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
+
64. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
  
−
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
+
65. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
  
−
66. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
+
66. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
  
−
67. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
+
67. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720109.png ; $K ( d s ) = K$ ; confidence 0.996
  
−
68. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996
  
−
69. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
+
69. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996
  
−
70. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
+
70. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095820/u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996
  
−
71. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
+
71. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996
  
−
72. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892
+
72. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996
  
−
73. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
+
73. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096740/v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996
  
−
74. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892
+
74. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996
  
−
75. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
+
75. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008076.png ; $N = 2$ ; confidence 0.996
  
−
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
+
76. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996
  
−
77. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018047.png ; $\zeta ( s )$ ; confidence 0.996
  
−
78. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130088.png ; $( \Delta _ { i } )$ ; confidence 0.996
  
−
79. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
+
79. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696061.png ; $\delta \in \Delta$ ; confidence 0.996
  
−
80. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120090/k12009012.png ; $= \frac { 2 } { \pi ^ { 2 } x _ { 0 } } \int _ { 0 } ^ { \infty } K _ { i \tau } ( x _ { 0 } ) \tau \operatorname { sinh } ( \pi \tau ) F ( \tau ) d \tau$ ; confidence 0.890
+
80. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280211.png ; $| f ( z ) | \leq 1$ ; confidence 0.996
  
−
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h0479705.png ; $\delta : A \rightarrow A \otimes A$ ; confidence 0.996
  
−
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006025.png ; $X = [ L ^ { 2 } ( \Omega ) ] ^ { p }$ ; confidence 0.996
  
−
83. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005035.png ; $\theta _ { 0 } \in ( \pi / 2 , \pi )$ ; confidence 0.996
  
−
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
+
84. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410105.png ; $G ( K / k )$ ; confidence 0.996
  
−
85. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300142.png ; $L _ { \mu } \subset P _ { \mu }$ ; confidence 0.996
  
−
86. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450257.png ; $g \geq 40$ ; confidence 0.996
  
−
87. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
+
87. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540286.png ; $p - 1$ ; confidence 0.996
  
−
88. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046069.png ; $P ( x )$ ; confidence 0.996
  
−
89. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060030.png ; $p = + \infty$ ; confidence 0.996
  
−
90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
+
90. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590151.png ; $G / R ( G )$ ; confidence 0.996
  
−
91. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008025.png ; $f ( L ) = \alpha g ( L ; m , s ) , f ( R ) = \alpha g ( R ; m , s )$ ; confidence 0.996
  
−
92. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103303.png ; $r > 0$ ; confidence 0.996
  
−
93. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
+
93. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852072.png ; $[ s , n ] = 0$ ; confidence 0.996
  
−
94. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
+
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559086.png ; $( b , \{ M \} )$ ; confidence 0.996
  
−
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a1103606.png ; $G \subset 2 ^ { H }$ ; confidence 0.996
  
−
96. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539036.png ; $\int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta ) = E [ L ( \theta , d ) | x ]$ ; confidence 0.885
+
96. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340242.png ; $z = z ( u , v )$ ; confidence 0.996
  
−
97. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082078.png ; $H ^ { A } ( Y ) = H ( A , Y )$ ; confidence 0.996
  
−
98. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031058.png ; $C ( S )$ ; confidence 0.996
  
−
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450255.png ; $g \geq 25$ ; confidence 0.996
  
−
100. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017049.png ; $Q s = \rho U ^ { 2 } s$ ; confidence 0.996
  
−
101. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
+
101. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120250.png ; $k ( \phi )$ ; confidence 0.996
  
−
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450150.png ; $+ 1$ ; confidence 0.996
  
−
103. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
+
103. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859095.png ; $L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.996
  
−
104. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
+
104. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q0763106.png ; $\Delta : A \rightarrow A \otimes A$ ; confidence 0.996
  
−
105. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
+
105. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700260.png ; $k ( ( t ) )$ ; confidence 0.996
  
−
106. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
+
106. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120242.png ; $H ^ { p } ( X , F ) = H ^ { p + 1 } ( X , F ) = 0$ ; confidence 0.996
  
−
107. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
+
107. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006096.png ; $1 \leq i , j \leq n$ ; confidence 0.996
  
−
108. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
+
108. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310155.png ; $U ( g )$ ; confidence 0.996
  
−
109. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024083.png ; $\int _ { L } \omega = 0$ ; confidence 0.996
  
−
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
+
110. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590463.png ; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996
  
−
111. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380169.png ; $i \neq j$ ; confidence 0.996
  
−
112. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
+
112. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996
  
−
113. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008098.png ; $k = 2$ ; confidence 0.996
  
−
114. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996
  
−
115. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
+
115. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200302.png ; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996
  
−
116. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240495.png ; $m = 2$ ; confidence 0.996
  
−
117. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076010.png ; $I ( t ) - I ( 0 )$ ; confidence 0.996
  
−
118. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170135.png ; $D ( G )$ ; confidence 0.996
  
−
119. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
+
119. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347021.png ; $( P \times C ) / Z$ ; confidence 0.996
  
−
120. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
+
120. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996
  
−
121. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012029.png ; $A _ { \mu } ( s )$ ; confidence 0.996
  
−
122. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m06443090.png ; $B O$ ; confidence 0.877
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450132.png ; $\phi _ { 3 K } ( Y )$ ; confidence 0.996
  
−
123. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013820/a01382017.png ; $\theta \in \Theta$ ; confidence 0.996
  
−
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
+
124. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797022.png ; $\epsilon ^ { * } : K \rightarrow A ^ { * }$ ; confidence 0.996
  
−
125. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
+
125. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996
  
−
126. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082080.png ; $( A , Y )$ ; confidence 0.996
  
−
127. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012061.png ; $( x ^ { * } , y ^ { * } ) \in J$ ; confidence 0.996
  
−
128. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058400/l0584006.png ; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996
  
−
129. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139016.png ; $L _ { 1 } ( G ) \rightarrow M ( G )$ ; confidence 0.996
  
−
130. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033011.png ; $p ( x )$ ; confidence 0.996
  
−
131. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068042.png ; $\theta _ { 1 } < 1$ ; confidence 0.996
  
−
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013039.png ; $Q = \sum _ { j = 0 } ^ { \infty } Q _ { j } z ^ { - j } , Q _ { j } = \left( \begin{array} { c c } { h _ { j } } & { e _ { j } } \\ { f _ { j } } & { - h _ { j } } \end{array} \right)$ ; confidence 0.875
+
132. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900115.png ; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996
  
−
133. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055040.png ; $G = R$ ; confidence 0.996
  
−
134. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
+
134. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024330/c02433072.png ; $A \rightarrow B$ ; confidence 0.996
  
−
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006087.png ; $\partial ( \overline { H } ) =$ ; confidence 0.995
  
−
136. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450131.png ; $\phi _ { 3 K } ( X )$ ; confidence 0.995
  
−
137. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022033.png ; $B \in B ( R ^ { n } )$ ; confidence 0.995
  
−
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640131.png ; $( V , \alpha )$ ; confidence 0.995
  
−
139. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008045.png ; $D ( A ) \times V$ ; confidence 0.995
  
−
140. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003016.png ; $f ( x ) = \int _ { 0 } ^ { \infty } e ^ { x t } d \mu ( t )$ ; confidence 0.995
  
−
141. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018033.png ; $i = 0,1,2$ ; confidence 0.995
  
−
142. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995
  
−
143. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
+
143. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995
  
−
144. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210128.png ; $( f )$ ; confidence 0.995
  
−
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
+
145. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054019.png ; $x y x ^ { - 1 } y ^ { - 1 }$ ; confidence 0.995
  
−
146. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010080.png ; $\int w g d \mu = g ( x )$ ; confidence 0.995
  
−
147. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050191.png ; $\partial ( A ) = \operatorname { log } _ { p } \operatorname { card } ( A )$ ; confidence 0.995
  
−
148. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
148. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995
  
−
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035021.png ; $\psi _ { 0 } ( t ) = 1$ ; confidence 0.995
  
−
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024051.png ; $L ^ { * } \subset F ^ { * }$ ; confidence 0.995
  
−
151. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006081.png ; $( t , u ) \in [ 0 , T ] \times W$ ; confidence 0.995
  
−
152. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490146.png ; $y = \frac { t ^ { 2 } + 1 } { t ^ { 2 } - 1 } , \quad x = \frac { 2 t } { t ^ { 2 } - 1 }$ ; confidence 0.995
  
−
153. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995
  
−
154. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
154. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029059.png ; $1 \leq i \leq d$ ; confidence 0.995
  
−
155. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210111.png ; $( \omega )$ ; confidence 0.995
  
−
156. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004041.png ; $( k )$ ; confidence 0.995
  
−
157. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040190.png ; $p ( D _ { i } )$ ; confidence 0.995
  
−
158. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
158. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820150.png ; $\gamma _ { 0 } ( T )$ ; confidence 0.995
  
−
159. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121085.png ; $\lambda \rightarrow + \infty$ ; confidence 0.995
  
−
160. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120388.png ; $f ^ { * } ( z )$ ; confidence 0.995
  
−
161. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140703.png ; $1$ ; confidence 0.995
  
−
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068019.png ; $r ( n ) \neq 0$ ; confidence 0.995
  
−
163. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010080.png ; $J _ { \lambda } = ( I + \lambda A ) ^ { - 1 }$ ; confidence 0.995
  
−
164. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
164. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872069.png ; $Z ( L )$ ; confidence 0.995
  
−
165. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
165. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556096.png ; $F , G$ ; confidence 0.995
  
−
166. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
166. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995
  
−
167. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
167. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995
  
−
168. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016045.png ; $A ( t ) = [ f ( u ( t ) ) + \beta ( X ( t ) - X ( t - \tau ) ) ] [ N _ { 0 } - A ( t ) ]$ ; confidence 0.995
  
−
169. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084027.png ; $L \rightarrow L ^ { * }$ ; confidence 0.995
  
−
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018051.png ; $\alpha = 0$ ; confidence 0.995
  
−
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
171. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771076.png ; $W = N / T$ ; confidence 0.995
  
−
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050074.png ; $K = Q$ ; confidence 0.995
  
−
173. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011027.png ; $T ( i , n ) = T ( i - 1 , T ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 2$ ; confidence 0.995
  
−
174. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010049.png ; $( T _ { \alpha } ) _ { \alpha \in A }$ ; confidence 0.995
  
−
175. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016051.png ; $p _ { k } = r _ { k } + \beta _ { k } p _ { k - 1 }$ ; confidence 0.995
  
−
176. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995
  
−
177. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995
  
−
178. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640157.png ; $p _ { 2 } > 1$ ; confidence 0.995
  
−
179. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995
  
−
180. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240142.png ; $m \times 1$ ; confidence 0.995
  
−
181. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
  
−
182. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
  
−
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
  
−
184. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
  
−
185. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
  
−
186. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
  
−
187. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
  
−
188. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338015.png ; $\phi \in \Phi$ ; confidence 0.995
  
−
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995
  
−
190. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
190. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024450/c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995
  
−
191. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
+
191. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995
  
−
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024790/c02479065.png ; $f ( \zeta )$ ; confidence 0.995
  
−
193. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025650/c02565066.png ; $D \subset R$ ; confidence 0.995
  
−
194. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
194. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995
  
−
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031100/d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995
  
−
196. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
196. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380332.png ; $E = N$ ; confidence 0.995
  
−
197. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
197. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995
  
−
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
198. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
  
−
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
+
199. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
  
−
200. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
200. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
  
−
201. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
201. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
  
−
202. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
202. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052230/i0522303.png ; $x \leq z \leq y$ ; confidence 0.995
  
−
203. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052730/i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995
  
−
204. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
204. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995
  
−
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
205. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995
  
−
206. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
206. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995
  
−
207. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
207. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848075.png ; $L ( H )$ ; confidence 0.995
  
−
208. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
208. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059170/l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995
  
−
209. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
209. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995
  
−
210. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
210. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995
  
−
211. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
211. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995
  
−
212. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
212. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995
  
−
213. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
213. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995
  
−
214. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
214. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
  
−
215. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
215. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
  
−
216. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
216. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
  
−
217. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
217. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
−
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
218. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995
  
−
219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
219. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
  
−
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
220. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093180/t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995
  
−
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
221. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097600/w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995
  
−
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
222. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t0929001.png ; $( \Delta , A )$ ; confidence 0.995
  
−
223. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082053.png ; $F ( X )$ ; confidence 0.995
  
−
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145093.png ; $l ( D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.995
  
−
225. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
225. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510130.png ; $g \geq 24$ ; confidence 0.995
  
−
226. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995
  
−
227. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070125.png ; $( t , v )$ ; confidence 0.995
  
−
228. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
228. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070091.png ; $D ( S )$ ; confidence 0.995
  
−
229. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
229. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995
  
−
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995
  
−
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068027.png ; $g ( A ) , G ( A ) , G _ { 0 } ( A )$ ; confidence 0.995
  
−
232. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600105.png ; $k ( \theta )$ ; confidence 0.995
  
−
233. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149033.png ; $F ( x , y ) = 0 , \quad \frac { \partial F ( x , y ) } { \partial y } = 0$ ; confidence 0.995
  
−
234. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007050.png ; $f \in L ^ { \infty } ( 0 , T ; X )$ ; confidence 0.995
  
−
235. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
235. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995
  
−
236. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a010290101.png ; $( A B C D )$ ; confidence 0.995
  
−
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010271.png ; $A X + X B = C$ ; confidence 0.995
  
−
238. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160022.png ; $x ^ { 2 } - D y ^ { 2 } = 1$ ; confidence 0.995
  
−
239. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006061.png ; $L ( X )$ ; confidence 0.995
  
−
240. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020017.png ; $p ( t ) \in F [ t ]$ ; confidence 0.995
  
−
241. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012054.png ; $y _ { j } ^ { j } > 0$ ; confidence 0.995
  
−
242. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010050.png ; $T _ { \alpha } ( g ) \rightarrow g$ ; confidence 0.995
  
−
243. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040121.png ; $( A , \lambda = [ L ] )$ ; confidence 0.995
  
−
244. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082060.png ; $\alpha = G ( \alpha ^ { \prime } ) \epsilon$ ; confidence 0.995
  
−
245. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020072.png ; $\operatorname { dim } X < + \infty$ ; confidence 0.995
  
−
246. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995
  
−
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137039.png ; $p ^ { \prime } ( f ) \in \epsilon ( A )$ ; confidence 0.995
  
−
248. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040117.png ; $B = E _ { 1 } \times E _ { 2 }$ ; confidence 0.995
  
−
249. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093031.png ; $\phi = \psi - y$ ; confidence 0.995
  
−
250. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
250. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848067.png ; $[ X , Y ] = X Y - Y X$ ; confidence 0.995
  
−
251. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138011.png ; $( ( x \& y ) \rightarrow z )$ ; confidence 0.995
  
−
252. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302409.png ; $( n \times 1 )$ ; confidence 0.995
  
−
253. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022077.png ; $L ( \phi ) ( \omega ) = \int _ { 0 } ^ { \infty } \phi ( t ) d w _ { t }$ ; confidence 0.995
  
−
254. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081081.png ; $m - n + k$ ; confidence 0.995
  
−
255. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040762.png ; $\Sigma ( P , R ^ { \prime } )$ ; confidence 0.995
  
−
256. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137043.png ; $( f ) \in A$ ; confidence 0.995
  
−
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
257. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995
  
−
258. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070136.png ; $2 - 10 ^ { - 12 } < \sigma ( n ) / n < 2 + 10 ^ { - 12 }$ ; confidence 0.995
  
−
259. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006031.png ; $P _ { K } ( n )$ ; confidence 0.995
  
−
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007049.png ; $B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.995
  
−
261. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995
  
−
262. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600170.png ; $( \operatorname { mod } f )$ ; confidence 0.995
  
−
263. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994
  
−
264. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559011.png ; $L : [ 0,1 ] \rightarrow \overline { C }$ ; confidence 0.994
  
−
265. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
265. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120243.png ; $H ^ { p } ( Y , F )$ ; confidence 0.994
  
−
266. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010083.png ; $K ( M ) = C _ { W } ( X )$ ; confidence 0.994
  
−
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
267. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120060/b1200602.png ; $\epsilon = 1$ ; confidence 0.994
  
−
268. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
268. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025020/c02502011.png ; $f : X \rightarrow \overline { R }$ ; confidence 0.994
  
−
269. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200142.png ; $i \neq 0$ ; confidence 0.994
  
−
270. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a1300805.png ; $h ( x )$ ; confidence 0.994
  
−
271. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121065.png ; $q ( x )$ ; confidence 0.994
  
−
272. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012017.png ; $m = n$ ; confidence 0.994
  
−
273. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a0119703.png ; $\phi ( x )$ ; confidence 0.994
  
−
274. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040347.png ; $K ( x ) \approx L ( x )$ ; confidence 0.994
  
−
275. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150018.png ; $\Delta ( \theta ) = \sqrt { ( 1 - c ^ { 2 } \lambda ^ { 2 } ) ( 1 - e ^ { 2 } \lambda ^ { 2 } ) }$ ; confidence 0.994
  
−
276. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146055.png ; $Z , Z ^ { \prime } \in C ^ { 1 } ( X )$ ; confidence 0.994
  
−
277. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
277. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733083.png ; $f _ { 2 } ( z )$ ; confidence 0.994
  
−
278. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005044.png ; $B > 0$ ; confidence 0.994
  
−
279. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022061.png ; $B \in B ( R ^ { j } )$ ; confidence 0.994
  
−
280. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994
  
−
281. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050122.png ; $\frac { d u ( t ) } { d t } + A ( t , u ( t ) ) u ( t ) = f ( t , u ( t ) )$ ; confidence 0.994
  
−
282. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029091.png ; $( X , \delta )$ ; confidence 0.994
  
−
283. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
283. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530605.png ; $K , A , N$ ; confidence 0.994
  
−
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084026.png ; $\phi ^ { * } ( m ^ { * } ( l ) ) = m ^ { * } ( \phi ( l ) )$ ; confidence 0.994
  
−
285. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
285. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593073.png ; $\phi ( G )$ ; confidence 0.994
  
−
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018083.png ; $A ( G )$ ; confidence 0.994
  
−
287. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040159.png ; $f ^ { * } : J ( H ) \rightarrow J ( C )$ ; confidence 0.994
  
−
288. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007094.png ; $\sigma ^ { 0 } ( p ^ { \alpha } ) = 0$ ; confidence 0.994
  
−
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300119.png ; $\Delta ( 0 )$ ; confidence 0.994
  
−
290. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029030.png ; $A , A ^ { \prime }$ ; confidence 0.994
  
−
291. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013045.png ; $( X _ { n } )$ ; confidence 0.994
  
−
292. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
292. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764012.png ; $\sum _ { i = 1 } ^ { n } k _ { i } ^ { - 1 } > 1$ ; confidence 0.994
  
−
293. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046027.png ; $| \xi | < \rho ( x , h )$ ; confidence 0.994
  
−
294. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a1103501.png ; $e ^ { x + y } = e ^ { x } e ^ { y }$ ; confidence 0.994
  
−
295. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a1101502.png ; $F ( t | S ) = 1 - \operatorname { exp } [ - \frac { t } { \tau ( S ) } ] , \quad t \geq 0$ ; confidence 0.994
  
−
296. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
296. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994
  
−
297. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149028.png ; $D ( x )$ ; confidence 0.994
  
−
298. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
298. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007015.png ; $L _ { \chi } ( U ) =$ ; confidence 0.994
  
−
299. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
299. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559062.png ; $L : z = \phi ( t )$ ; confidence 0.994
  
−
300. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
300. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559053.png ; $z = \phi _ { 2 } ( \tau ^ { \prime \prime } )$ ; confidence 0.994

Latest revision as of 09:58, 17 October 2019

List

1. d034120257.png ; $| z | < \sigma$ ; confidence 0.996

2. w120090449.png ; $G ( m , 1 , n )$ ; confidence 0.996

3. d034120301.png ; $\Lambda ( f )$ ; confidence 0.996

4. r08103072.png ; $\Phi _ { k } ( S , G )$ ; confidence 0.996

5. a11032016.png ; $R _ { 0 } ^ { ( i ) } ( z )$ ; confidence 0.996

6. a110010173.png ; $A ^ { + }$ ; confidence 0.996

7. a01121094.png ; $q = - z$ ; confidence 0.996

8. a011370138.png ; $R ( X )$ ; confidence 0.996

9. a01081039.png ; $x ( t )$ ; confidence 0.996

10. a01018045.png ; $g ( s )$ ; confidence 0.996

11. w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996

12. a011600158.png ; $H _ { 1 } = L _ { 1 }$ ; confidence 0.996

13. a01081026.png ; $m ( \leq n )$ ; confidence 0.996

14. r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996

15. a11004029.png ; $d = \sqrt { \operatorname { deg } \phi _ { L } }$ ; confidence 0.996

16. a0109302.png ; $10 ^ { 8 }$ ; confidence 0.996

17. c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996

18. a11040091.png ; $t \mapsto T ^ { * } ( t ) x ^ { * }$ ; confidence 0.996

19. a12031052.png ; $B ( K ) / M ( K )$ ; confidence 0.996

20. a11035015.png ; $\phi _ { \lambda } ( \Lambda ( x , y , t ) )$ ; confidence 0.996

21. t12001056.png ; $F _ { 3 }$ ; confidence 0.996

22. t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996

23. t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996

24. t120010107.png ; $n \geq 0$ ; confidence 0.996

25. a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996

26. a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996

27. a13013024.png ; $g ( z )$ ; confidence 0.996

28. a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996

29. a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996

30. a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996

31. b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996

32. b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996

33. b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996

34. c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996

35. c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996

36. c022660241.png ; $C = C ( f )$ ; confidence 0.996

37. c025140162.png ; $X \in V ( B )$ ; confidence 0.996

38. d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996

39. d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996

40. d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996

41. d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996

42. e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996

43. f03806015.png ; $V$ ; confidence 0.996

44. f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996

45. f04096043.png ; $I V _ { 2 }$ ; confidence 0.996

46. h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996

47. h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996

48. h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996

49. i050650302.png ; $D$ ; confidence 0.996

50. i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996

51. i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996

52. k05503063.png ; $T ( X )$ ; confidence 0.996

53. l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996

54. m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996

55. m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996

56. m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996

57. m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996

58. m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996

59. m06470068.png ; $\partial V _ { t }$ ; confidence 0.996

60. n06663062.png ; $0 < r - s < k$ ; confidence 0.996

61. p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996

62. q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996

63. q07667033.png ; $R [ x ]$ ; confidence 0.996

64. r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996

65. r13007076.png ; $\| f \| = 0$ ; confidence 0.996

66. r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996

67. s086720109.png ; $K ( d s ) = K$ ; confidence 0.996

68. s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996

69. u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996

70. u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996

71. v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996

72. v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996

73. v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996

74. v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996

75. w13008076.png ; $N = 2$ ; confidence 0.996

76. y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996

77. a01018047.png ; $\zeta ( s )$ ; confidence 0.996

78. a01130088.png ; $( \Delta _ { i } )$ ; confidence 0.996

79. e03696061.png ; $\delta \in \Delta$ ; confidence 0.996

80. c020280211.png ; $| f ( z ) | \leq 1$ ; confidence 0.996

81. h0479705.png ; $\delta : A \rightarrow A \otimes A$ ; confidence 0.996

82. a12006025.png ; $X = [ L ^ { 2 } ( \Omega ) ] ^ { p }$ ; confidence 0.996

83. a12005035.png ; $\theta _ { 0 } \in ( \pi / 2 , \pi )$ ; confidence 0.996

84. h047410105.png ; $G ( K / k )$ ; confidence 0.996

85. a011300142.png ; $L _ { \mu } \subset P _ { \mu }$ ; confidence 0.996

86. a011450257.png ; $g \geq 40$ ; confidence 0.996

87. c020540286.png ; $p - 1$ ; confidence 0.996

88. a01046069.png ; $P ( x )$ ; confidence 0.996

89. a01060030.png ; $p = + \infty$ ; confidence 0.996

90. l058590151.png ; $G / R ( G )$ ; confidence 0.996

91. a13008025.png ; $f ( L ) = \alpha g ( L ; m , s ) , f ( R ) = \alpha g ( R ; m , s )$ ; confidence 0.996

92. a0103303.png ; $r > 0$ ; confidence 0.996

93. l05852072.png ; $[ s , n ] = 0$ ; confidence 0.996

94. s08559086.png ; $( b , \{ M \} )$ ; confidence 0.996

95. a1103606.png ; $G \subset 2 ^ { H }$ ; confidence 0.996

96. d033340242.png ; $z = z ( u , v )$ ; confidence 0.996

97. a01082078.png ; $H ^ { A } ( Y ) = H ( A , Y )$ ; confidence 0.996

98. a12031058.png ; $C ( S )$ ; confidence 0.996

99. a011450255.png ; $g \geq 25$ ; confidence 0.996

100. a11017049.png ; $Q s = \rho U ^ { 2 } s$ ; confidence 0.996

101. d034120250.png ; $k ( \phi )$ ; confidence 0.996

102. a011450150.png ; $+ 1$ ; confidence 0.996

103. l05859095.png ; $L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.996

104. q0763106.png ; $\Delta : A \rightarrow A \otimes A$ ; confidence 0.996

105. d030700260.png ; $k ( ( t ) )$ ; confidence 0.996

106. d034120242.png ; $H ^ { p } ( X , F ) = H ^ { p + 1 } ( X , F ) = 0$ ; confidence 0.996

107. g13006096.png ; $1 \leq i , j \leq n$ ; confidence 0.996

108. q076310155.png ; $U ( g )$ ; confidence 0.996

109. a01024083.png ; $\int _ { L } \omega = 0$ ; confidence 0.996

110. s085590463.png ; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996

111. a011380169.png ; $i \neq j$ ; confidence 0.996

112. l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996

113. a13008098.png ; $k = 2$ ; confidence 0.996

114. a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996

115. k1200302.png ; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996

116. a130240495.png ; $m = 2$ ; confidence 0.996

117. a01076010.png ; $I ( t ) - I ( 0 )$ ; confidence 0.996

118. a014170135.png ; $D ( G )$ ; confidence 0.996

119. c02347021.png ; $( P \times C ) / Z$ ; confidence 0.996

120. f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996

121. a13012029.png ; $A _ { \mu } ( s )$ ; confidence 0.996

122. a011450132.png ; $\phi _ { 3 K } ( Y )$ ; confidence 0.996

123. a01382017.png ; $\theta \in \Theta$ ; confidence 0.996

124. h04797022.png ; $\epsilon ^ { * } : K \rightarrow A ^ { * }$ ; confidence 0.996

125. b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996

126. a01082080.png ; $( A , Y )$ ; confidence 0.996

127. a12012061.png ; $( x ^ { * } , y ^ { * } ) \in J$ ; confidence 0.996

128. l0584006.png ; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996

129. a01139016.png ; $L _ { 1 } ( G ) \rightarrow M ( G )$ ; confidence 0.996

130. a01033011.png ; $p ( x )$ ; confidence 0.996

131. a01068042.png ; $\theta _ { 1 } < 1$ ; confidence 0.996

132. n066900115.png ; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996

133. a01055040.png ; $G = R$ ; confidence 0.996

134. c02433072.png ; $A \rightarrow B$ ; confidence 0.996

135. a13006087.png ; $\partial ( \overline { H } ) =$ ; confidence 0.995

136. a011450131.png ; $\phi _ { 3 K } ( X )$ ; confidence 0.995

137. a11022033.png ; $B \in B ( R ^ { n } )$ ; confidence 0.995

138. a011640131.png ; $( V , \alpha )$ ; confidence 0.995

139. a12008045.png ; $D ( A ) \times V$ ; confidence 0.995

140. a12003016.png ; $f ( x ) = \int _ { 0 } ^ { \infty } e ^ { x t } d \mu ( t )$ ; confidence 0.995

141. a12018033.png ; $i = 0,1,2$ ; confidence 0.995

142. a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995

143. d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995

144. a010210128.png ; $( f )$ ; confidence 0.995

145. s13054019.png ; $x y x ^ { - 1 } y ^ { - 1 }$ ; confidence 0.995

146. a11010080.png ; $\int w g d \mu = g ( x )$ ; confidence 0.995

147. a130050191.png ; $\partial ( A ) = \operatorname { log } _ { p } \operatorname { card } ( A )$ ; confidence 0.995

148. r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995

149. a11035021.png ; $\psi _ { 0 } ( t ) = 1$ ; confidence 0.995

150. a01024051.png ; $L ^ { * } \subset F ^ { * }$ ; confidence 0.995

151. a12006081.png ; $( t , u ) \in [ 0 , T ] \times W$ ; confidence 0.995

152. a011490146.png ; $y = \frac { t ^ { 2 } + 1 } { t ^ { 2 } - 1 } , \quad x = \frac { 2 t } { t ^ { 2 } - 1 }$ ; confidence 0.995

153. a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995

154. b13029059.png ; $1 \leq i \leq d$ ; confidence 0.995

155. a010210111.png ; $( \omega )$ ; confidence 0.995

156. a11004041.png ; $( k )$ ; confidence 0.995

157. a110040190.png ; $p ( D _ { i } )$ ; confidence 0.995

158. f040820150.png ; $\gamma _ { 0 } ( T )$ ; confidence 0.995

159. a01121085.png ; $\lambda \rightarrow + \infty$ ; confidence 0.995

160. d034120388.png ; $f ^ { * } ( z )$ ; confidence 0.995

161. a0140703.png ; $1$ ; confidence 0.995

162. a01068019.png ; $r ( n ) \neq 0$ ; confidence 0.995

163. a12010080.png ; $J _ { \lambda } = ( I + \lambda A ) ^ { - 1 }$ ; confidence 0.995

164. l05872069.png ; $Z ( L )$ ; confidence 0.995

165. b01556096.png ; $F , G$ ; confidence 0.995

166. u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995

167. s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995

168. a12016045.png ; $A ( t ) = [ f ( u ( t ) ) + \beta ( X ( t ) - X ( t - \tau ) ) ] [ N _ { 0 } - A ( t ) ]$ ; confidence 0.995

169. a01084027.png ; $L \rightarrow L ^ { * }$ ; confidence 0.995

170. a01018051.png ; $\alpha = 0$ ; confidence 0.995

171. w09771076.png ; $W = N / T$ ; confidence 0.995

172. a11050074.png ; $K = Q$ ; confidence 0.995

173. a12011027.png ; $T ( i , n ) = T ( i - 1 , T ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 2$ ; confidence 0.995

174. a11010049.png ; $( T _ { \alpha } ) _ { \alpha \in A }$ ; confidence 0.995

175. a11016051.png ; $p _ { k } = r _ { k } + \beta _ { k } p _ { k - 1 }$ ; confidence 0.995

176. a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995

177. a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995

178. a011640157.png ; $p _ { 2 } > 1$ ; confidence 0.995

179. t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995

180. a130240142.png ; $m \times 1$ ; confidence 0.995

181. a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995

182. a11016027.png ; $A = L + D + U$ ; confidence 0.995

183. a12016064.png ; $\lambda < 1$ ; confidence 0.995

184. a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995

185. a011650288.png ; $m = \nu ( P )$ ; confidence 0.995

186. b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995

187. c11006048.png ; $0 \leq j < k$ ; confidence 0.995

188. c02338015.png ; $\phi \in \Phi$ ; confidence 0.995

189. c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995

190. c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995

191. c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995

192. c02479065.png ; $f ( \zeta )$ ; confidence 0.995

193. c02565066.png ; $D \subset R$ ; confidence 0.995

194. c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995

195. d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995

196. d031380332.png ; $E = N$ ; confidence 0.995

197. f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995

198. g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995

199. g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995

200. h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995

201. i050650137.png ; $K ( B / S )$ ; confidence 0.995

202. i0522303.png ; $x \leq z \leq y$ ; confidence 0.995

203. i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995

204. j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995

205. j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995

206. k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995

207. l05848075.png ; $L ( H )$ ; confidence 0.995

208. l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995

209. l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995

210. m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995

211. m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995

212. n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995

213. p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995

214. p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995

215. p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995

216. r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995

217. s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995

218. s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995

219. t092810205.png ; $\beta ( M )$ ; confidence 0.995

220. t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995

221. w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995

222. t0929001.png ; $( \Delta , A )$ ; confidence 0.995

223. a01082053.png ; $F ( X )$ ; confidence 0.995

224. a01145093.png ; $l ( D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.995

225. m064510130.png ; $g \geq 24$ ; confidence 0.995

226. d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995

227. a120070125.png ; $( t , v )$ ; confidence 0.995

228. d03070091.png ; $D ( S )$ ; confidence 0.995

229. s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995

230. a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995

231. a01068027.png ; $g ( A ) , G ( A ) , G _ { 0 } ( A )$ ; confidence 0.995

232. a011600105.png ; $k ( \theta )$ ; confidence 0.995

233. a01149033.png ; $F ( x , y ) = 0 , \quad \frac { \partial F ( x , y ) } { \partial y } = 0$ ; confidence 0.995

234. a12007050.png ; $f \in L ^ { \infty } ( 0 , T ; X )$ ; confidence 0.995

235. s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995

236. a010290101.png ; $( A B C D )$ ; confidence 0.995

237. a110010271.png ; $A X + X B = C$ ; confidence 0.995

238. a01160022.png ; $x ^ { 2 } - D y ^ { 2 } = 1$ ; confidence 0.995

239. a12006061.png ; $L ( X )$ ; confidence 0.995

240. a12020017.png ; $p ( t ) \in F [ t ]$ ; confidence 0.995

241. a12012054.png ; $y _ { j } ^ { j } > 0$ ; confidence 0.995

242. a11010050.png ; $T _ { \alpha } ( g ) \rightarrow g$ ; confidence 0.995

243. a110040121.png ; $( A , \lambda = [ L ] )$ ; confidence 0.995

244. a01082060.png ; $\alpha = G ( \alpha ^ { \prime } ) \epsilon$ ; confidence 0.995

245. a12020072.png ; $\operatorname { dim } X < + \infty$ ; confidence 0.995

246. s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995

247. a01137039.png ; $p ^ { \prime } ( f ) \in \epsilon ( A )$ ; confidence 0.995

248. a110040117.png ; $B = E _ { 1 } \times E _ { 2 }$ ; confidence 0.995

249. a01093031.png ; $\phi = \psi - y$ ; confidence 0.995

250. l05848067.png ; $[ X , Y ] = X Y - Y X$ ; confidence 0.995

251. a01138011.png ; $( ( x \& y ) \rightarrow z )$ ; confidence 0.995

252. a1302409.png ; $( n \times 1 )$ ; confidence 0.995

253. a11022077.png ; $L ( \phi ) ( \omega ) = \int _ { 0 } ^ { \infty } \phi ( t ) d w _ { t }$ ; confidence 0.995

254. a01081081.png ; $m - n + k$ ; confidence 0.995

255. a130040762.png ; $\Sigma ( P , R ^ { \prime } )$ ; confidence 0.995

256. a01137043.png ; $( f ) \in A$ ; confidence 0.995

257. l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995

258. a130070136.png ; $2 - 10 ^ { - 12 } < \sigma ( n ) / n < 2 + 10 ^ { - 12 }$ ; confidence 0.995

259. a13006031.png ; $P _ { K } ( n )$ ; confidence 0.995

260. a12007049.png ; $B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.995

261. d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995

262. a011600170.png ; $( \operatorname { mod } f )$ ; confidence 0.995

263. s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994

264. s08559011.png ; $L : [ 0,1 ] \rightarrow \overline { C }$ ; confidence 0.994

265. d034120243.png ; $H ^ { p } ( Y , F )$ ; confidence 0.994

266. a11010083.png ; $K ( M ) = C _ { W } ( X )$ ; confidence 0.994

267. b1200602.png ; $\epsilon = 1$ ; confidence 0.994

268. c02502011.png ; $f : X \rightarrow \overline { R }$ ; confidence 0.994

269. b130200142.png ; $i \neq 0$ ; confidence 0.994

270. a1300805.png ; $h ( x )$ ; confidence 0.994

271. a01121065.png ; $q ( x )$ ; confidence 0.994

272. a12012017.png ; $m = n$ ; confidence 0.994

273. a0119703.png ; $\phi ( x )$ ; confidence 0.994

274. a130040347.png ; $K ( x ) \approx L ( x )$ ; confidence 0.994

275. a01150018.png ; $\Delta ( \theta ) = \sqrt { ( 1 - c ^ { 2 } \lambda ^ { 2 } ) ( 1 - e ^ { 2 } \lambda ^ { 2 } ) }$ ; confidence 0.994

276. a01146055.png ; $Z , Z ^ { \prime } \in C ^ { 1 } ( X )$ ; confidence 0.994

277. b01733083.png ; $f _ { 2 } ( z )$ ; confidence 0.994

278. a12005044.png ; $B > 0$ ; confidence 0.994

279. a11022061.png ; $B \in B ( R ^ { j } )$ ; confidence 0.994

280. a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994

281. a120050122.png ; $\frac { d u ( t ) } { d t } + A ( t , u ( t ) ) u ( t ) = f ( t , u ( t ) )$ ; confidence 0.994

282. a01029091.png ; $( X , \delta )$ ; confidence 0.994

283. i0530605.png ; $K , A , N$ ; confidence 0.994

284. a01084026.png ; $\phi ^ { * } ( m ^ { * } ( l ) ) = m ^ { * } ( \phi ( l ) )$ ; confidence 0.994

285. c02593073.png ; $\phi ( G )$ ; confidence 0.994

286. d12018083.png ; $A ( G )$ ; confidence 0.994

287. a110040159.png ; $f ^ { * } : J ( H ) \rightarrow J ( C )$ ; confidence 0.994

288. a13007094.png ; $\sigma ^ { 0 } ( p ^ { \alpha } ) = 0$ ; confidence 0.994

289. a011300119.png ; $\Delta ( 0 )$ ; confidence 0.994

290. a01029030.png ; $A , A ^ { \prime }$ ; confidence 0.994

291. a12013045.png ; $( X _ { n } )$ ; confidence 0.994

292. r07764012.png ; $\sum _ { i = 1 } ^ { n } k _ { i } ^ { - 1 } > 1$ ; confidence 0.994

293. a01046027.png ; $| \xi | < \rho ( x , h )$ ; confidence 0.994

294. a1103501.png ; $e ^ { x + y } = e ^ { x } e ^ { y }$ ; confidence 0.994

295. a1101502.png ; $F ( t | S ) = 1 - \operatorname { exp } [ - \frac { t } { \tau ( S ) } ] , \quad t \geq 0$ ; confidence 0.994

296. e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994

297. a01149028.png ; $D ( x )$ ; confidence 0.994

298. k11007015.png ; $L _ { \chi } ( U ) =$ ; confidence 0.994

299. s08559062.png ; $L : z = \phi ( t )$ ; confidence 0.994

300. s08559053.png ; $z = \phi _ { 2 } ( \tau ^ { \prime \prime } )$ ; confidence 0.994

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/6. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/6&oldid=43836
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