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(AUTOMATIC EDIT of page 3 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 3 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070109.png ; $D ( A ( t ) ) =$ ; confidence 0.999
  
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2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032031.png ; $p < .5$ ; confidence 1.000
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2. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764025.png ; $E = \pi ^ { - 1 } ( P )$ ; confidence 0.999
  
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3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
+
3. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590377.png ; $\mu \geq 4$ ; confidence 0.999
  
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4. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005017.png ; $0 \leq s \leq t \leq T$ ; confidence 0.999
  
−
5. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014300/a0143001.png ; $\epsilon - \delta$ ; confidence 0.998
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137033.png ; $f _ { 1 } ^ { 2 } - z ^ { 2 } = 0$ ; confidence 0.999
  
−
6. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431097.png ; $| x$ ; confidence 0.207
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022051.png ; $( \Omega , A )$ ; confidence 0.999
  
−
7. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010066.png ; $C _ { W } ( X ) = C ( X )$ ; confidence 0.999
  
−
8. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431093.png ; $A ( \iota X A ( x ) )$ ; confidence 0.456
+
8. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559052.png ; $( U ( \zeta , r ) , f _ { \zeta } )$ ; confidence 0.999
  
−
9. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058013.png ; $\Omega ( t , t ) = E$ ; confidence 0.999
  
−
10. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093032.png ; $n + 1$ ; confidence 0.999
  
−
11. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
11. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010159.png ; $4 n$ ; confidence 0.999
  
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12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
12. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001077.png ; $\xi ( \tau )$ ; confidence 0.999
  
−
13. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021067.png ; $( L ( \lambda ) )$ ; confidence 1.000
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a01002013.png ; $\sigma \delta$ ; confidence 0.999
  
−
14. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210104.png ; $\rho = ( 1 / 2 ) \sum _ { \alpha \in \Delta ^ { + } } \alpha$ ; confidence 0.628
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420117.png ; $H ^ { + } = G ^ { + } \cap H$ ; confidence 0.999
  
−
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420161.png ; $A _ { \theta } \cong A _ { \theta }$ ; confidence 0.999
  
−
16. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021075.png ; $\mathfrak { F } _ { \lambda }$ ; confidence 0.661
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042069.png ; $\varphi : A \rightarrow B$ ; confidence 0.999
  
−
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013012.png ; $Q _ { 1 } = P _ { 1 }$ ; confidence 0.999
  
−
18. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022012.png ; $1 \leq p < \infty$ ; confidence 0.999
  
−
19. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001094.png ; $V ^ { * } - V$ ; confidence 0.998
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010186.png ; $A + \delta A$ ; confidence 0.999
  
−
20. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010124.png ; $A A ^ { + } A = A$ ; confidence 0.999
  
−
21. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $< 1$ ; confidence 0.999
  
−
22. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146029.png ; $p = n - 1$ ; confidence 0.999
  
−
23. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150079.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$ ; confidence 0.999
  
−
24. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012210/a01221035.png ; $f ( t ) = \psi ( \phi ( t ) )$ ; confidence 0.999
  
−
25. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950197.png ; $( L _ { 2 } )$ ; confidence 0.999
  
−
26. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100377.png ; $\frac { c _ { 1 } } { n } \leq ( | K | | K ^ { \circlearrowright } | ) ^ { 1 / n } \leq \frac { c _ { 2 } } { n }$ ; confidence 0.421
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012960/a01296094.png ; $n > r$ ; confidence 0.999
  
−
27. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970196.png ; $m \geq r$ ; confidence 0.999
  
−
28. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322017.png ; $\overline { B } = C F ( \Delta ^ { \prime } )$ ; confidence 0.999
  
−
29. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $| x _ { y } \| \rightarrow 0$ ; confidence 0.611
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070050.png ; $\beta ( A )$ ; confidence 0.999
  
−
30. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015260/b0152609.png ; $D \cup \Gamma$ ; confidence 0.999
  
−
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130207.png ; $\left( \begin{array} { c } { y - p } \\ { \vdots } \\ { y - 1 } \\ { y _ { 0 } } \end{array} \right) = \Gamma ^ { - 1 } \left( \begin{array} { c } { 0 } \\ { \vdots } \\ { 0 } \\ { 1 } \end{array} \right)$ ; confidence 0.427
+
31. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007015.png ; $\pi ( m )$ ; confidence 0.999
  
−
32. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539045.png ; $\pi ( \theta _ { 1 } ) = \pi _ { 1 }$ ; confidence 0.999
  
−
33. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013099.png ; $m _ { 1 } \in M _ { 1 }$ ; confidence 0.998
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539046.png ; $\pi ( \theta _ { 2 } ) = \pi _ { 2 }$ ; confidence 0.999
  
−
34. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
+
34. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539063.png ; $( \epsilon > 0 )$ ; confidence 0.999
  
−
35. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130209.png ; $v ( \lambda ) = ( y _ { 0 } + \lambda ^ { - 1 } y _ { - 1 } + \ldots + \lambda ^ { - p } y - p ) y _ { 0 } ^ { - 1 / 2 }$ ; confidence 0.241
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015680/b01568021.png ; $2 \operatorname { exp } \{ - \frac { 1 } { 2 } n \epsilon ^ { 2 } \}$ ; confidence 0.999
  
−
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
+
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037053.png ; $K ( t ) \equiv 1$ ; confidence 0.999
  
−
37. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
+
37. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110340/b11034032.png ; $\omega ( x y ) = \omega ( x ) \omega ( y )$ ; confidence 0.999
  
−
38. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015260/b0152609.png ; $D \cup \Gamma$ ; confidence 0.999
+
38. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110390/b110390108.png ; $K > 0$ ; confidence 0.999
  
−
39. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
+
39. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667088.png ; $A A ^ { T } = ( r - \lambda ) E + \lambda J$ ; confidence 0.999
  
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40. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533
+
40. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.999
  
−
41. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
41. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036013.png ; $E$ ; confidence 0.999
  
−
42. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
+
42. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733087.png ; $N ^ { * } ( D )$ ; confidence 0.999
  
−
43. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350251.png ; $\{ \xi _ { t } ( s ) \}$ ; confidence 1.000
+
43. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330215.png ; $F ^ { \prime } ( w )$ ; confidence 0.999
  
−
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470190.png ; $H ^ { * } ( O ( n ) ) \rightarrow H ^ { * } ( B ( n ) )$ ; confidence 0.999
  
−
45. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
+
45. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089054.png ; $f ( x ) = x ^ { t } M x$ ; confidence 0.999
  
−
46. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016013.png ; $f ( n ) \equiv 0 ( \operatorname { mod } p )$ ; confidence 1.000
+
46. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030089.png ; $n \geq 2 ^ { 13 }$ ; confidence 0.999
  
−
47. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780019.png ; $2 ^ { 12 }$ ; confidence 0.999
  
−
48. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
48. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020420/c0204203.png ; $E \times E$ ; confidence 0.999
  
−
49. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007015.png ; $\pi ( m )$ ; confidence 0.999
+
49. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064013.png ; $\lambda : V \rightarrow P$ ; confidence 0.999
  
−
50. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
50. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242028.png ; $\phi ( x ) = [ ( 1 - x ) ( 1 + x ) ] ^ { 1 / 2 }$ ; confidence 0.999
  
−
51. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539034.png ; $\operatorname { inf } _ { d } \int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta )$ ; confidence 0.420
+
51. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242026.png ; $\phi ( x ) \equiv 1$ ; confidence 0.999
  
−
52. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
52. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660219.png ; $F = \{ f ( z ) \}$ ; confidence 0.999
  
−
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998
+
53. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305060.png ; $( U ) = n - 1$ ; confidence 0.999
  
−
54. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
+
54. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023180/c0231806.png ; $\pi ^ { 1 } ( X )$ ; confidence 0.999
  
−
55. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
+
55. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412030.png ; $f ( z ) = 1 / ( e ^ { z } - 1 )$ ; confidence 0.999
  
−
56. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539045.png ; $\pi ( \theta _ { 1 } ) = \pi _ { 1 }$ ; confidence 0.999
+
56. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024670/c02467021.png ; $A _ { 3 }$ ; confidence 0.999
  
−
57. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539046.png ; $\pi ( \theta _ { 2 } ) = \pi _ { 2 }$ ; confidence 0.999
+
57. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140160.png ; $E = T B$ ; confidence 0.999
  
−
58. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
+
58. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c02571015.png ; $f ^ { - 1 } ( F )$ ; confidence 0.999
  
−
59. 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
+
59. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830152.png ; $G \neq 0$ ; confidence 0.999
  
−
60. 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
+
60. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830116.png ; $\{ A \}$ ; confidence 0.999
  
−
61. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
+
61. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318055.png ; $f ( B / A ) = 1$ ; confidence 0.999
  
−
62. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998
+
62. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033280/d03328018.png ; $x d y$ ; confidence 0.999
  
−
63. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736
+
63. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372075.png ; $\sigma > 1 / 2$ ; confidence 0.999
  
−
64. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
+
64. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379044.png ; $\Delta _ { D } ( z )$ ; confidence 0.999
  
−
65. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
+
65. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035470/e03547029.png ; $f ( z _ { 1 } + z _ { 2 } )$ ; confidence 0.999
  
−
66. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539028.png ; $\int \int _ { \Theta } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta ) =$ ; confidence 0.604
+
66. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e0356605.png ; $U _ { \mu } ( x ) = \int H ( | x - y | ) d \mu ( y )$ ; confidence 0.999
  
−
67. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539043.png ; $L _ { i j } = L = ( \theta _ { i } , d _ { j } )$ ; confidence 0.694
+
67. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581047.png ; $\Psi ( A ) = A$ ; confidence 0.999
  
−
68. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
68. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036120/e03612012.png ; $m ( M )$ ; confidence 0.999
  
−
69. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539020.png ; $\rho ( \theta , \delta ) = \int _ { Y } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x )$ ; confidence 0.192
+
69. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e1202308.png ; $M = \overline { U }$ ; confidence 0.999
  
−
70. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
+
70. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677073.png ; $B = f ( A )$ ; confidence 0.999
  
−
71. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f1200408.png ; $( + \infty ) - ( + \infty ) = - \infty - ( - \infty ) = - \infty$ ; confidence 0.999
  
−
72. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539057.png ; $\rho ( \theta , \delta )$ ; confidence 1.000
+
72. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058044.png ; $\phi ( p )$ ; confidence 0.999
  
−
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
+
73. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117046.png ; $F [ \delta ] = 1$ ; confidence 0.999
  
−
74. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774
+
74. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f04125082.png ; $\xi _ { 1 } \neq \infty$ ; confidence 0.999
  
−
75. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
+
75. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150156.png ; $\beta ( A - K ) < \infty$ ; confidence 0.999
  
−
76. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539018.png ; $\delta \rho ( \pi , \delta )$ ; confidence 0.650
+
76. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041580/f04158014.png ; $( x M ) ( M ^ { - 1 } y )$ ; confidence 0.999
  
−
77. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153907.png ; $( D , B _ { D } )$ ; confidence 0.999
+
77. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f04189063.png ; $\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$ ; confidence 0.999
  
−
78. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
78. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206038.png ; $P ( C A )$ ; confidence 0.999
  
−
79. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
+
79. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044780/g04478033.png ; $\mu ( \alpha )$ ; confidence 0.999
  
−
80. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
+
80. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h04716013.png ; $H ( z )$ ; confidence 0.999
  
−
81. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047270/h04727012.png ; $\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$ ; confidence 0.999
  
−
82. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539063.png ; $( \epsilon > 0 )$ ; confidence 0.999
+
82. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024037.png ; $\mu _ { 1 } < 0 < \lambda _ { 1 }$ ; confidence 0.999
  
−
83. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539054.png ; $+ \pi _ { 2 } p ( x | \theta _ { 2 } ) L ( \theta _ { 2 } , \delta ( x ) ) ] d \mu ( x )$ ; confidence 0.612
+
83. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048080/h04808011.png ; $n - 1 \geq p$ ; confidence 0.999
  
−
84. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153905.png ; $\{ P _ { \theta } : \theta \in \Theta \}$ ; confidence 0.633
+
84. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110370/h11037062.png ; $n \neq 0$ ; confidence 0.999
  
−
85. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539058.png ; $\rho ( \pi , \delta )$ ; confidence 1.000
+
85. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012038.png ; $| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$ ; confidence 0.999
  
−
86. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
86. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110430/h1104304.png ; $H _ { 1 } ( x ) < H _ { 2 } ( x )$ ; confidence 0.999
  
−
87. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539024.png ; $\pi ( d \theta ) = \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.998
+
87. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052020/i05202038.png ; $B = Y \backslash 0$ ; confidence 0.999
  
−
88. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539041.png ; $= \{ \theta _ { 1 } , \theta _ { 2 } \}$ ; confidence 1.000
+
88. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006049.png ; $y \geq x \geq 0$ ; confidence 0.999
  
−
89. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
+
89. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250047.png ; $P ^ { N } ( k )$ ; confidence 0.999
  
−
90. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710
+
90. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008061.png ; $H = 0$ ; confidence 0.999
  
−
91. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539060.png ; $\delta _ { \epsilon } ^ { * }$ ; confidence 0.648
+
91. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k0554806.png ; $\mu = m c / \hbar$ ; confidence 0.999
  
−
92. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
+
92. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k05552062.png ; $D _ { 1 } / \Gamma$ ; confidence 0.999
  
−
93. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
+
93. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570014.png ; $I _ { \Gamma } ( x )$ ; confidence 0.999
  
−
94. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540062.png ; $s ( z ) = q ( z )$ ; confidence 1.000
+
94. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594047.png ; $\xi = \xi _ { 0 } ( \phi )$ ; confidence 0.999
  
−
95. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540048.png ; $s ( z )$ ; confidence 1.000
+
95. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057120/l0571208.png ; $1 \leq p < + \infty$ ; confidence 0.999
  
−
96. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540091.png ; $\Psi _ { 1 } ( Y ) / \hat { q } ( Y ) \leq \psi ( Y ) \leq \Psi _ { 2 } ( Y ) / \hat { q } ( Y )$ ; confidence 0.236
+
96. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110050/l11005048.png ; $v ( P ) - v ( D )$ ; confidence 0.999
  
−
97. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015420/b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514
+
97. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057430/l05743029.png ; $k ^ { 2 } ( \tau ) = \lambda$ ; confidence 0.999
  
−
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
+
98. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058210/l05821011.png ; $\zeta = 0$ ; confidence 0.999
  
−
99. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
99. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l05916072.png ; $\operatorname { ln } t$ ; confidence 0.999
  
−
100. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
100. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935016.png ; $x ( t ) \equiv 0$ ; confidence 0.999
  
−
101. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517
+
101. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l1201604.png ; $z = e ^ { i \theta }$ ; confidence 0.999
  
−
102. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544026.png ; $X _ { 1 }$ ; confidence 0.637
+
102. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009064.png ; $P ^ { * } ( D )$ ; confidence 0.999
  
−
103. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
103. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062350/m06235096.png ; $\mu ^ { - 1 }$ ; confidence 0.999
  
−
104. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
+
104. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062540/m06254054.png ; $| \theta - \frac { p } { n } | \leq \frac { 1 } { \tau q ^ { 2 } }$ ; confidence 0.999
  
−
105. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110270/b11027042.png ; $P ( s S ) = P ( S )$ ; confidence 0.219
+
105. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620248.png ; $x > y > z$ ; confidence 0.999
  
−
106. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010015.png ; $k _ { z } = K _ { z } / \| K _ { z } \|$ ; confidence 0.674
+
106. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063170/m0631709.png ; $d \sigma ( t )$ ; confidence 0.999
  
−
107. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556018.png ; $D \times D \in \Gamma ^ { 2 }$ ; confidence 0.230
+
107. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460237.png ; $( f ) = D$ ; confidence 0.999
  
−
108. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
108. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063990/m06399032.png ; $A = \pi r ^ { 2 }$ ; confidence 0.999
  
−
109. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
109. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m064000127.png ; $F = W _ { 2 } ^ { - 1 } ( \Omega )$ ; confidence 0.999
  
−
110. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
110. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064460/m0644606.png ; $d ( x + y ) + d ( x y ) = d ( x ) + d ( y )$ ; confidence 0.999
  
−
111. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
+
111. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064910/m06491014.png ; $Y ( K )$ ; confidence 0.999
  
−
112. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
+
112. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065180/m06518046.png ; $\alpha : A \rightarrow A _ { 1 }$ ; confidence 0.999
  
−
113. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
113. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m130250103.png ; $s > n / 2$ ; confidence 0.999
  
−
114. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015630/b01563017.png ; $p \leq 2$ ; confidence 1.000
+
114. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689035.png ; $b = 7$ ; confidence 0.999
  
−
115. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015650/b01565010.png ; $B _ { n } ( x + 1 ) - B _ { n } ( x ) = n x ^ { n - 1 }$ ; confidence 0.672
+
115. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011011.png ; $\xi ( x ) = 1$ ; confidence 0.999
  
−
116. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566078.png ; $/ N = T$ ; confidence 0.692
+
116. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067360/n0673605.png ; $\phi ( x ) \geq 0$ ; confidence 0.999
  
−
117. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566054.png ; $\alpha = ( k + 1 / 2 )$ ; confidence 0.643
+
117. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520122.png ; $j \geq q + 1$ ; confidence 0.999
  
−
118. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722
+
118. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068330/o06833067.png ; $e ^ { - \lambda s }$ ; confidence 0.999
  
−
119. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566071.png ; $\nu = a + x + 2 [ \frac { n - t - x - \alpha } { 2 } ] + 1$ ; confidence 0.213
+
119. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068490/o06849072.png ; $2 \leq t \leq 3$ ; confidence 0.999
  
−
120. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015680/b01568021.png ; $2 \operatorname { exp } \{ - \frac { 1 } { 2 } n \epsilon ^ { 2 } \}$ ; confidence 0.999
+
120. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700104.png ; $G ( x ) = \{ g ( x ) : g \in G \}$ ; confidence 0.999
  
−
121. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037053.png ; $K ( t ) \equiv 1$ ; confidence 0.999
+
121. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070060/o07006030.png ; $\beta ( x ) \neq 0$ ; confidence 0.999
  
−
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037052.png ; $= 0 \text { as. } \cdot P _ { \theta _ { 0 } } ]$ ; confidence 0.233
+
122. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120339.png ; $\eta ( x ) \in \eta$ ; confidence 0.999
  
−
123. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037025.png ; $0 < \epsilon < i ( \theta _ { 0 } )$ ; confidence 0.998
+
123. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251086.png ; $T ^ { * } U$ ; confidence 0.999
  
−
124. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110340/b11034032.png ; $\omega ( x y ) = \omega ( x ) \omega ( y )$ ; confidence 0.999
+
124. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072700/p07270029.png ; $f ( L )$ ; confidence 0.999
  
−
125. 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
+
125. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p07271076.png ; $t ( P )$ ; confidence 0.999
  
−
126. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
+
126. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013011.png ; $n > 1$ ; confidence 0.999
  
−
127. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
+
127. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140226.png ; $\phi ^ { + } ( x )$ ; confidence 0.999
  
−
128. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
128. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140120.png ; $p > n / 2$ ; confidence 0.999
  
−
129. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110390/b110390108.png ; $K > 0$ ; confidence 0.999
+
129. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150271.png ; $- \infty \leq y < \infty$ ; confidence 0.999
  
−
130. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
+
130. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005052.png ; $H _ { k + 1 } y ^ { k } = s ^ { k }$ ; confidence 0.999
  
−
131. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040017.png ; $F . C _ { i j k } = I m$ ; confidence 0.621
+
131. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $2 g - 1$ ; confidence 0.999
  
−
132. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
132. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216030.png ; $n < 7$ ; confidence 0.999
  
−
133. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
+
133. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200111.png ; $\gamma \geq \gamma _ { k }$ ; confidence 0.999
  
−
134. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
+
134. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r0822904.png ; $x + z < y + z$ ; confidence 0.999
  
−
135. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
+
135. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002013.png ; $J ( q ) ^ { T }$ ; confidence 0.999
  
−
136. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
+
136. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130070/s1300707.png ; $\phi ( f ( x ) ) = g ( x ) \phi ( x ) + h ( x )$ ; confidence 0.999
  
−
137. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810102.png ; $f \in W _ { 2 } ^ { 3 } ( \Omega )$ ; confidence 0.999
  
−
138. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
+
138. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110260/s11026022.png ; $\eta \in R ^ { k }$ ; confidence 0.999
  
−
139. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
+
139. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087710/s08771037.png ; $\omega ( R )$ ; confidence 0.999
  
−
140. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
+
140. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090220/s09022010.png ; $x ( \phi )$ ; confidence 0.999
  
−
141. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616031.png ; $\hat { R } ( c )$ ; confidence 0.613
+
141. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091580/s09158080.png ; $\Phi ( f ( w ) ) = \sigma ( \Phi ( w ) )$ ; confidence 0.999
  
−
142. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
+
142. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005053.png ; $\sigma ^ { \prime } ( A )$ ; confidence 0.999
  
−
143. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615033.png ; $\operatorname { Re } _ { c _ { N } } = n$ ; confidence 0.069
+
143. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260081.png ; $\delta = 2$ ; confidence 0.999
  
−
144. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
+
144. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014052.png ; $( Q )$ ; confidence 0.999
  
−
145. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
+
145. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377043.png ; $R ^ { 0 } f$ ; confidence 0.999
  
−
146. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
146. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638020.png ; $X ^ { \prime } \cap \pi ^ { - 1 } ( b )$ ; confidence 0.999
  
−
147. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
+
147. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011069.png ; $\theta = 2 \pi$ ; confidence 0.999
  
−
148. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b11052027.png ; $x \in G _ { n }$ ; confidence 0.415
+
148. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690074.png ; $\phi ( U T U ^ { - 1 } ) = \phi ( T )$ ; confidence 0.999
  
−
149. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016470/b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589
+
149. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900125.png ; $P \sim P _ { 1 }$ ; confidence 0.999
  
−
150. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
150. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097600/w0976009.png ; $H ^ { 2 n } ( X )$ ; confidence 0.999
  
−
151. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
+
151. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070106.png ; $C ^ { \prime } = 1$ ; confidence 0.999
  
−
152. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a010290104.png ; $A B$ ; confidence 0.999
  
−
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020020.png ; $( \phi , \psi )$ ; confidence 0.999
  
−
154. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146063.png ; $p > 1$ ; confidence 0.999
  
−
155. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006024.png ; $R = R ( K )$ ; confidence 0.999
  
−
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059067.png ; $u = q ( x ) \text { on } g$ ; confidence 0.462
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060101.png ; $0 < \lambda < 1$ ; confidence 0.999
  
−
157. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661046.png ; $\vec { u } = A _ { j } ^ { i } u ^ { j }$ ; confidence 0.648
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014011.png ; $d _ { 1 } ( x , y ) = r$ ; confidence 0.999
  
−
158. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661030.png ; $R _ { y } ^ { t }$ ; confidence 0.060
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008026.png ; $f ( x ) \leq \alpha g ( x ; m , s )$ ; confidence 0.999
  
−
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004022.png ; $( L ^ { 2 } )$ ; confidence 0.999
  
−
160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
+
160. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262059.png ; $\mu \geq 1$ ; confidence 0.999
  
−
161. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049031.png ; $F = I - R D$ ; confidence 0.999
  
−
162. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016650/b0166503.png ; $2 \int \int _ { G } ( x \frac { \partial y } { \partial u } \frac { \partial y } { \partial v } ) d u d v = \oint _ { \partial G } ( x y d y )$ ; confidence 0.204
+
162. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410112.png ; $\beta = \alpha - \sigma ( \alpha )$ ; confidence 0.999
  
−
163. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
163. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590190.png ; $f ( x ) f ( y ) = f ( x y )$ ; confidence 0.999
  
−
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153020.png ; $\alpha \neq 0,1$ ; confidence 0.999
  
−
165. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667088.png ; $A A ^ { T } = ( r - \lambda ) E + \lambda J$ ; confidence 0.999
+
165. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690098.png ; $H ^ { 1 } ( G , A / B )$ ; confidence 0.999
  
−
166. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
166. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861085.png ; $\Gamma = g ( \Gamma _ { 1 } )$ ; confidence 0.999
  
−
167. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
+
167. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763048.png ; $\delta _ { \phi } \in P _ { \phi }$ ; confidence 0.999
  
−
168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.999
+
168. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090385.png ; $W ( \lambda ) ^ { \lambda }$ ; confidence 0.999
  
−
169. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031064.png ; $\tau ^ { n }$ ; confidence 0.408
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025020.png ; $T _ { \infty }$ ; confidence 0.999
  
−
170. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016730/b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021039.png ; $\delta _ { i j } = 0$ ; confidence 0.999
  
−
171. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b0167404.png ; $\leq \frac { 1 } { N } \langle U _ { 1 } - U _ { 2 } \} _ { U _ { 2 } }$ ; confidence 0.419
+
171. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770018.png ; $\psi : G / H \rightarrow M$ ; confidence 0.999
  
−
172. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003015.png ; $( - \infty , 0 ]$ ; confidence 0.999
  
−
173. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012070.png ; $0,1$ ; confidence 0.999
  
−
174. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040224.png ; $H ^ { 0 } ( A , L ) ^ { - } \subset H ^ { 0 } ( A , L )$ ; confidence 0.999
  
−
175. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012048.png ; $7259 < W _ { 1 } < 0.7378$ ; confidence 0.999
  
−
176. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180139.png ; $( U )$ ; confidence 0.999
  
−
177. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450104.png ; $\operatorname { deg } D = n$ ; confidence 0.999
  
−
178. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040111.png ; $B = J ( H )$ ; confidence 0.999
  
−
179. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036013.png ; $E$ ; confidence 0.999
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210139.png ; $\omega = R ( z , w ) d z$ ; confidence 0.999
  
−
180. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301906.png ; $F ( x ) = f ( M x )$ ; confidence 1.000
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164042.png ; $q ( V ) > 0$ ; confidence 0.999
  
−
181. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
181. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820112.png ; $F ( X , Y ) = f ^ { - 1 } ( f ( X ) + f ( Y ) )$ ; confidence 0.999
  
−
182. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
182. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120381.png ; $f ^ { * } ( z ) \in B ^ { 1 }$ ; confidence 0.999
  
−
183. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148068.png ; $n > 4$ ; confidence 0.999
  
−
184. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b016920121.png ; $( M )$ ; confidence 1.000
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081088.png ; $\int _ { t _ { 0 } } ^ { t _ { 1 } } \overline { \xi } ( t ) f ( t ) d t = 0$ ; confidence 0.999
  
−
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
+
185. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763047.png ; $V ( \delta _ { \phi } )$ ; confidence 0.999
  
−
186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037092.png ; $\sum \frac { 1 } { 1 }$ ; confidence 0.251
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950140.png ; $\Omega ^ { i } = 0$ ; confidence 0.999
  
−
187. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040105.png ; $D$ ; confidence 0.999
  
−
188. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001034.png ; $k ( A )$ ; confidence 0.999
  
−
189. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960167.png ; $\tilde { \mathfrak { N } } = \mathfrak { N } \backslash ( V _ { j = 1 } ^ { t } \mathfrak { A } ^ { \prime \prime } )$ ; confidence 0.082
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110071.png ; $\phi : L \rightarrow L$ ; confidence 0.999
  
−
190. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040696.png ; $\square \varphi$ ; confidence 0.999
  
−
191. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994
+
191. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c02325068.png ; $1 \leq k \leq n$ ; confidence 0.999
  
−
192. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300148.png ; $\tau = \Delta _ { 1 } / t - 1$ ; confidence 0.999
  
−
193. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
+
193. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040600/f04060023.png ; $f ^ { - 1 } ( f ( x ) )$ ; confidence 0.999
  
−
194. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504
+
194. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848015.png ; $[ D _ { 1 } , D _ { 2 } ] = D _ { 1 } \circ D _ { 2 } - D _ { 2 } \circ D _ { 1 }$ ; confidence 0.999
  
−
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040226.png ; $\Gamma \approx \Delta$ ; confidence 0.999
  
−
196. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149077.png ; $f _ { 1 } ^ { \prime } ( x )$ ; confidence 0.999
  
−
197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020036.png ; $[ e _ { i } f _ { j } ] = h _ { i }$ ; confidence 0.684
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013039.png ; $\sqrt { n } ( \theta _ { n } - \theta ^ { * } )$ ; confidence 0.999
  
−
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
+
198. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690123.png ; $G = \operatorname { Spin } ( 7 )$ ; confidence 0.999
  
−
199. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020023.png ; $\alpha _ { i } \in R$ ; confidence 0.443
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137034.png ; $z ^ { 2 } \in A$ ; confidence 0.999
  
−
200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450244.png ; $f : V \rightarrow B$ ; confidence 0.999
  
−
201. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020073.png ; $9 -$ ; confidence 0.467
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640135.png ; $O _ { V }$ ; confidence 0.999
  
−
202. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522
+
202. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150179.png ; $\{ \Phi \}$ ; confidence 0.999
  
−
203. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
203. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372033.png ; $( U ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.999
  
−
204. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081077.png ; $\beta \xi ( 0 ) + \delta \dot { \xi } ( 0 ) + \dot { \xi } ( 1 ) = 0$ ; confidence 0.999
  
−
205. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011018.png ; $A ( 1 , n ) = n + 2$ ; confidence 0.999
  
−
206. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081076.png ; $\alpha \xi ( 0 ) + \gamma \dot { \xi } ( 0 ) + \xi ( 1 ) = 0$ ; confidence 0.999
  
−
207. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007090.png ; $m < n$ ; confidence 0.999
  
−
208. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010178.png ; $A x = \lambda x$ ; confidence 0.999
  
−
209. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017280/b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582
+
209. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081490/r08149043.png ; $V ( \lambda )$ ; confidence 0.999
  
−
210. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450100.png ; $J ( X )$ ; confidence 0.999
  
−
211. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733087.png ; $N ^ { * } ( D )$ ; confidence 0.999
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005041.png ; $\| ( \lambda - A ( t ) ) ^ { - 1 } \| \leq M / ( 1 + | \lambda | )$ ; confidence 0.999
  
−
212. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330215.png ; $F ^ { \prime } ( w )$ ; confidence 0.999
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012058.png ; $f ( z ) \equiv 0$ ; confidence 0.999
  
−
213. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330250.png ; $U ^ { N }$ ; confidence 0.743
+
213. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c1102505.png ; $( p , q )$ ; confidence 0.999
  
−
214. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996
+
214. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150200.png ; $\Delta > 0$ ; confidence 0.999
  
−
215. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330155.png ; $\Phi ( \theta )$ ; confidence 1.000
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a1301201.png ; $D = ( V , B )$ ; confidence 0.999
  
−
216. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330242.png ; $f ^ { * } ( z ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r z )$ ; confidence 0.445
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120351.png ; $\phi ( \zeta ) \equiv 0$ ; confidence 0.999
  
−
217. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004034.png ; $J ( H )$ ; confidence 0.999
  
−
218. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
+
218. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700173.png ; $X ^ { \prime } \rightarrow R ^ { \prime }$ ; confidence 0.999
  
−
219. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640146.png ; $\omega \leq \operatorname { dim } H ^ { 2 } ( V , E _ { \alpha } )$ ; confidence 0.999
  
−
220. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734029.png ; $C _ { \alpha }$ ; confidence 0.664
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010280.png ; $k ( A , B )$ ; confidence 0.999
  
−
221. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070131.png ; $> 20162$ ; confidence 0.999
  
−
222. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380192.png ; $\square$ ; confidence 0.999
  
−
223. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738057.png ; $L u = \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0$ ; confidence 0.466
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300168.png ; $\nabla ( t ) = t ^ { 2 k } \nabla ( t ^ { - 1 } )$ ; confidence 0.999
  
−
224. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738068.png ; $t \in S$ ; confidence 0.474
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018053.png ; $\sigma > 0$ ; confidence 0.999
  
−
225. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
+
225. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590490.png ; $X ( x , y ) d y = Y ( x , y ) d x$ ; confidence 0.999
  
−
226. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
+
226. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820160.png ; $( A , \pi )$ ; confidence 0.999
  
−
227. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
+
227. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925058.png ; $[ \Gamma : H ]$ ; confidence 0.999
  
−
228. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a0113009.png ; $\pi _ { 1 } ( M ) = G$ ; confidence 0.999
  
−
229. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148098.png ; $f ^ { ( k ) } ( c ) \neq 0$ ; confidence 0.999
  
−
230. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013029.png ; $\phi _ { + } = \operatorname { exp } ( \sum _ { j = 1 } ^ { \infty } \phi _ { j } ( x , t ) z ^ { j } )$ ; confidence 0.999
  
−
231. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
+
231. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559049.png ; $\tau _ { 1 } - \epsilon < \tau ^ { \prime } < \tau _ { 1 }$ ; confidence 0.999
  
−
232. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470190.png ; $H ^ { * } ( O ( n ) ) \rightarrow H ^ { * } ( B ( n ) )$ ; confidence 0.999
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014120/a01412076.png ; $n ( n - 1 ) / 2$ ; confidence 0.999
  
−
233. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
+
233. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103019.png ; $Z ( S )$ ; confidence 0.999
  
−
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
+
234. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797081.png ; $U ( \pi ( G , K ) )$ ; confidence 0.999
  
−
235. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005022.png ; $U ( t , r ) U ( r , s ) = U ( t , s )$ ; confidence 0.999
  
−
236. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
+
236. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555059.png ; $k = 0$ ; confidence 0.999
  
−
237. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084049.png ; $X$ ; confidence 0.601
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a0115009.png ; $s ^ { - 1 } d t$ ; confidence 0.999
  
−
238. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023050.png ; $G ( u )$ ; confidence 0.489
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007059.png ; $f \in B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.999
  
−
239. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017530/b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830224.png ; $F _ { 1 }$ ; confidence 0.999
  
−
240. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020030.png ; $\gamma = \alpha \beta$ ; confidence 0.999
  
−
241. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017560/b01756018.png ; $P \{ \xi _ { t } \equiv 0 \} = 1$ ; confidence 0.670
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008051.png ; $\frac { d ^ { 2 } u } { d t ^ { 2 } } + A ( t ) u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.999
  
−
242. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017580/b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998
+
242. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037016.png ; $H ^ { k } ( X , F )$ ; confidence 0.999
  
−
243. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b0176209.png ; $P _ { C } ^ { 1 }$ ; confidence 0.433
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010047.png ; $R ( I + A ) = X$ ; confidence 0.999
  
−
244. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b01762024.png ; $r ^ { 2 }$ ; confidence 1.000
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030026.png ; $( T V , d )$ ; confidence 0.999
  
−
245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300113.png ; $\nabla ( t ) = \overline { \Delta } _ { 1 } ( t ) / ( t - 1 ) ^ { \mu - 2 }$ ; confidence 0.999
  
−
246. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
+
246. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820179.png ; $[ 1 ] ( X ) = X$ ; confidence 0.999
  
−
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { E B } b )$ ; confidence 0.179
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a0115005.png ; $\frac { d x } { \sqrt { f ( x ) } } = \frac { d y } { \sqrt { f ( y ) } }$ ; confidence 0.999
  
−
248. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
+
248. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120348.png ; $\phi \in \Omega$ ; confidence 0.999
  
−
249. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004053.png ; $( d _ { 1 } , d _ { 2 } )$ ; confidence 0.999
  
−
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089054.png ; $f ( x ) = x ^ { t } M x$ ; confidence 0.999
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005050.png ; $U ( t , s )$ ; confidence 0.999
  
−
251. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110910/b11091027.png ; $\frac { \partial N _ { i } } { \partial t } + u _ { i } \nabla N _ { i } = G _ { i } - L _ { i }$ ; confidence 0.250
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010048.png ; $T _ { \alpha } ( f ) \rightarrow f$ ; confidence 0.999
  
−
252. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102206.png ; $2 p$ ; confidence 0.999
  
−
253. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
253. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032780/d03278014.png ; $G \subset R ^ { 2 }$ ; confidence 0.999
  
−
254. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050125.png ; $A ( t , u )$ ; confidence 0.999
  
−
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
+
255. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054024.png ; $\pi : H \rightarrow G$ ; confidence 0.999
  
−
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121013.png ; $v ( z )$ ; confidence 0.999
  
−
257. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008045.png ; $\alpha ( s ) = \frac { f ( L ( s ) ) } { g ( L ( s ) ; m ( s ) , s ) } = \frac { f ( R ( s ) ) } { g ( R ( s ) ; m ( s ) , s ) }$ ; confidence 0.999
  
−
258. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028056.png ; $\chi ( G )$ ; confidence 0.999
  
−
259. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a01254012.png ; $D = G$ ; confidence 0.999
  
−
260. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011032.png ; $T ( 2 , n )$ ; confidence 0.999
  
−
261. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700172.png ; $R ^ { \prime } \rightarrow R$ ; confidence 0.999
  
−
262. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099011.png ; $V _ { Q }$ ; confidence 0.244
+
262. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830361.png ; $A \subset I$ ; confidence 0.999
  
−
263. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200602.png ; $u ( x , t ) \in P ( x ) , \quad ( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.999
  
−
264. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050222.png ; $\eta < \delta$ ; confidence 0.999
  
−
265. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030089.png ; $n \geq 2 ^ { 13 }$ ; confidence 0.999
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152024.png ; $( G , V , \tau )$ ; confidence 0.999
  
−
266. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
266. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590644.png ; $G ( x , y , z ) = 0$ ; confidence 0.999
  
−
267. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310106.png ; $B ( K ) / M ( K ) = C ( S )$ ; confidence 0.999
  
−
268. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780019.png ; $2 ^ { 12 }$ ; confidence 0.999
+
268. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137025.png ; $\{ \rho ^ { \alpha } : \alpha \in I \}$ ; confidence 0.999
  
−
269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370125.png ; $f \in A$ ; confidence 0.999
  
−
270. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490133.png ; $x = \infty$ ; confidence 0.999
  
−
271. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076019.png ; $I ( t )$ ; confidence 0.999
  
−
272. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007021.png ; $\Pi _ { p } \subset \Pi _ { q }$ ; confidence 0.999
  
−
273. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082031.png ; $\theta ^ { - 1 } : H _ { G } \rightarrow H ^ { F }$ ; confidence 0.999
  
−
274. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110030/c11003017.png ; $v = u ^ { 2 } +$ ; confidence 0.633
+
274. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410130.png ; $I = \int F d t$ ; confidence 0.999
  
−
275. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
275. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861035.png ; $( [ x , y ] , z ) + ( y , [ x , z ] ) = 0$ ; confidence 0.999
  
−
276. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
276. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001070.png ; $\tau = ( \tau _ { 1 } , \tau _ { 2 } , \tau _ { 3 } ) \in R ^ { 3 }$ ; confidence 0.999
  
−
277. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020140/c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747
+
277. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763098.png ; $k = p > 0$ ; confidence 0.999
  
−
278. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160109.png ; $1,160$ ; confidence 0.999
  
−
279. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020190/c02019023.png ; $C A$ ; confidence 0.232
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050295.png ; $k > 1$ ; confidence 0.999
  
−
280. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
+
280. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160109.png ; $i < j$ ; confidence 0.999
  
−
281. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280124.png ; $E ( \lambda )$ ; confidence 1.000
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008020.png ; $L ^ { 2 } ( \Omega )$ ; confidence 0.999
  
−
282. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145033.png ; $P ( X )$ ; confidence 0.999
  
−
283. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008041.png ; $f$ ; confidence 0.647
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300122.png ; $\Delta ( t )$ ; confidence 0.999
  
−
284. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148096.png ; $k - 1$ ; confidence 0.999
  
−
285. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002020.png ; $f : X \rightarrow Z$ ; confidence 0.999
  
−
286. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
+
286. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524026.png ; $[ 0,3 ]$ ; confidence 0.999
  
−
287. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130090/a13009029.png ; $k + 1$ ; confidence 0.999
  
−
288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020420/c0204203.png ; $E \times E$ ; confidence 0.999
+
288. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464013.png ; $p : V \rightarrow B$ ; confidence 0.999
  
−
289. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998
+
289. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120140.png ; $( n - r - 1 )$ ; confidence 0.998
  
−
290. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540105.png ; $s _ { m } = r - s - \operatorname { rank } M _ { m } - 1$ ; confidence 0.443
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490140.png ; $y ( x )$ ; confidence 0.998
  
−
291. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
+
291. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559064.png ; $\phi ( 0 ) = \zeta$ ; confidence 0.998
  
−
292. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851049.png ; $[ X _ { \alpha } , Y _ { \alpha } ] = H _ { \alpha }$ ; confidence 0.998
  
−
293. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618
+
293. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007041.png ; $G / B \times G / B$ ; confidence 0.998
  
−
294. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064012.png ; $\mu = \beta \nu$ ; confidence 0.406
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004013.png ; $t \in ( 0 , \infty )$ ; confidence 0.998
  
−
295. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064013.png ; $\lambda : V \rightarrow P$ ; confidence 0.999
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046022.png ; $y ^ { \prime }$ ; confidence 0.998
  
−
296. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300126.png ; $\Delta _ { 1 } ( t ) = 1$ ; confidence 0.998
  
−
297. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070111.png ; $C ( \overline { \Omega } )$ ; confidence 0.998
  
−
298. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010157.png ; $( A + \delta A ) ^ { + } - A ^ { + }$ ; confidence 0.998
  
−
299. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022090.png ; $f : H \rightarrow R$ ; confidence 0.998
  
−
300. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150080.png ; $f : X \rightarrow P ^ { 1 }$ ; confidence 0.998

Latest revision as of 09:58, 17 October 2019

List

1. a120070109.png ; $D ( A ( t ) ) =$ ; confidence 0.999

2. r07764025.png ; $E = \pi ^ { - 1 } ( P )$ ; confidence 0.999

3. s085590377.png ; $\mu \geq 4$ ; confidence 0.999

4. a12005017.png ; $0 \leq s \leq t \leq T$ ; confidence 0.999

5. a01137033.png ; $f _ { 1 } ^ { 2 } - z ^ { 2 } = 0$ ; confidence 0.999

6. a11022051.png ; $( \Omega , A )$ ; confidence 0.999

7. a11010066.png ; $C _ { W } ( X ) = C ( X )$ ; confidence 0.999

8. s08559052.png ; $( U ( \zeta , r ) , f _ { \zeta } )$ ; confidence 0.999

9. a01058013.png ; $\Omega ( t , t ) = E$ ; confidence 0.999

10. a01093032.png ; $n + 1$ ; confidence 0.999

11. t120010159.png ; $4 n$ ; confidence 0.999

12. t12001077.png ; $\xi ( \tau )$ ; confidence 0.999

13. a01002013.png ; $\sigma \delta$ ; confidence 0.999

14. a110420117.png ; $H ^ { + } = G ^ { + } \cap H$ ; confidence 0.999

15. a110420161.png ; $A _ { \theta } \cong A _ { \theta }$ ; confidence 0.999

16. a11042069.png ; $\varphi : A \rightarrow B$ ; confidence 0.999

17. a13013012.png ; $Q _ { 1 } = P _ { 1 }$ ; confidence 0.999

18. a12022012.png ; $1 \leq p < \infty$ ; confidence 0.999

19. a110010186.png ; $A + \delta A$ ; confidence 0.999

20. a110010124.png ; $A A ^ { + } A = A$ ; confidence 0.999

21. a13007033.png ; $< 1$ ; confidence 0.999

22. a01146029.png ; $p = n - 1$ ; confidence 0.999

23. a01150079.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$ ; confidence 0.999

24. a01221035.png ; $f ( t ) = \psi ( \phi ( t ) )$ ; confidence 0.999

25. a012950197.png ; $( L _ { 2 } )$ ; confidence 0.999

26. a01296094.png ; $n > r$ ; confidence 0.999

27. a012970196.png ; $m \geq r$ ; confidence 0.999

28. a01322017.png ; $\overline { B } = C F ( \Delta ^ { \prime } )$ ; confidence 0.999

29. a11070050.png ; $\beta ( A )$ ; confidence 0.999

30. b0152609.png ; $D \cup \Gamma$ ; confidence 0.999

31. b13007015.png ; $\pi ( m )$ ; confidence 0.999

32. b01539045.png ; $\pi ( \theta _ { 1 } ) = \pi _ { 1 }$ ; confidence 0.999

33. b01539046.png ; $\pi ( \theta _ { 2 } ) = \pi _ { 2 }$ ; confidence 0.999

34. b01539063.png ; $( \epsilon > 0 )$ ; confidence 0.999

35. b01568021.png ; $2 \operatorname { exp } \{ - \frac { 1 } { 2 } n \epsilon ^ { 2 } \}$ ; confidence 0.999

36. b11037053.png ; $K ( t ) \equiv 1$ ; confidence 0.999

37. b11034032.png ; $\omega ( x y ) = \omega ( x ) \omega ( y )$ ; confidence 0.999

38. b110390108.png ; $K > 0$ ; confidence 0.999

39. b01667088.png ; $A A ^ { T } = ( r - \lambda ) E + \lambda J$ ; confidence 0.999

40. b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.999

41. b12036013.png ; $E$ ; confidence 0.999

42. b01733087.png ; $N ^ { * } ( D )$ ; confidence 0.999

43. b017330215.png ; $F ^ { \prime } ( w )$ ; confidence 0.999

44. b017470190.png ; $H ^ { * } ( O ( n ) ) \rightarrow H ^ { * } ( B ( n ) )$ ; confidence 0.999

45. b11089054.png ; $f ( x ) = x ^ { t } M x$ ; confidence 0.999

46. b13030089.png ; $n \geq 2 ^ { 13 }$ ; confidence 0.999

47. b01780019.png ; $2 ^ { 12 }$ ; confidence 0.999

48. c0204203.png ; $E \times E$ ; confidence 0.999

49. c02064013.png ; $\lambda : V \rightarrow P$ ; confidence 0.999

50. c02242028.png ; $\phi ( x ) = [ ( 1 - x ) ( 1 + x ) ] ^ { 1 / 2 }$ ; confidence 0.999

51. c02242026.png ; $\phi ( x ) \equiv 1$ ; confidence 0.999

52. c022660219.png ; $F = \{ f ( z ) \}$ ; confidence 0.999

53. c02305060.png ; $( U ) = n - 1$ ; confidence 0.999

54. c0231806.png ; $\pi ^ { 1 } ( X )$ ; confidence 0.999

55. c02412030.png ; $f ( z ) = 1 / ( e ^ { z } - 1 )$ ; confidence 0.999

56. c02467021.png ; $A _ { 3 }$ ; confidence 0.999

57. c025140160.png ; $E = T B$ ; confidence 0.999

58. c02571015.png ; $f ^ { - 1 } ( F )$ ; confidence 0.999

59. d031830152.png ; $G \neq 0$ ; confidence 0.999

60. d031830116.png ; $\{ A \}$ ; confidence 0.999

61. d03318055.png ; $f ( B / A ) = 1$ ; confidence 0.999

62. d03328018.png ; $x d y$ ; confidence 0.999

63. d03372075.png ; $\sigma > 1 / 2$ ; confidence 0.999

64. d03379044.png ; $\Delta _ { D } ( z )$ ; confidence 0.999

65. e03547029.png ; $f ( z _ { 1 } + z _ { 2 } )$ ; confidence 0.999

66. e0356605.png ; $U _ { \mu } ( x ) = \int H ( | x - y | ) d \mu ( y )$ ; confidence 0.999

67. e03581047.png ; $\Psi ( A ) = A$ ; confidence 0.999

68. e03612012.png ; $m ( M )$ ; confidence 0.999

69. e1202308.png ; $M = \overline { U }$ ; confidence 0.999

70. e03677073.png ; $B = f ( A )$ ; confidence 0.999

71. f1200408.png ; $( + \infty ) - ( + \infty ) = - \infty - ( - \infty ) = - \infty$ ; confidence 0.999

72. f04058044.png ; $\phi ( p )$ ; confidence 0.999

73. f04117046.png ; $F [ \delta ] = 1$ ; confidence 0.999

74. f04125082.png ; $\xi _ { 1 } \neq \infty$ ; confidence 0.999

75. f120150156.png ; $\beta ( A - K ) < \infty$ ; confidence 0.999

76. f04158014.png ; $( x M ) ( M ^ { - 1 } y )$ ; confidence 0.999

77. f04189063.png ; $\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$ ; confidence 0.999

78. f04206038.png ; $P ( C A )$ ; confidence 0.999

79. g04478033.png ; $\mu ( \alpha )$ ; confidence 0.999

80. h04716013.png ; $H ( z )$ ; confidence 0.999

81. h04727012.png ; $\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$ ; confidence 0.999

82. h11024037.png ; $\mu _ { 1 } < 0 < \lambda _ { 1 }$ ; confidence 0.999

83. h04808011.png ; $n - 1 \geq p$ ; confidence 0.999

84. h11037062.png ; $n \neq 0$ ; confidence 0.999

85. h13012038.png ; $| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$ ; confidence 0.999

86. h1104304.png ; $H _ { 1 } ( x ) < H _ { 2 } ( x )$ ; confidence 0.999

87. i05202038.png ; $B = Y \backslash 0$ ; confidence 0.999

88. i13006049.png ; $y \geq x \geq 0$ ; confidence 0.999

89. i05250047.png ; $P ^ { N } ( k )$ ; confidence 0.999

90. i12008061.png ; $H = 0$ ; confidence 0.999

91. k0554806.png ; $\mu = m c / \hbar$ ; confidence 0.999

92. k05552062.png ; $D _ { 1 } / \Gamma$ ; confidence 0.999

93. k05570014.png ; $I _ { \Gamma } ( x )$ ; confidence 0.999

94. k05594047.png ; $\xi = \xi _ { 0 } ( \phi )$ ; confidence 0.999

95. l0571208.png ; $1 \leq p < + \infty$ ; confidence 0.999

96. l11005048.png ; $v ( P ) - v ( D )$ ; confidence 0.999

97. l05743029.png ; $k ^ { 2 } ( \tau ) = \lambda$ ; confidence 0.999

98. l05821011.png ; $\zeta = 0$ ; confidence 0.999

99. l05916072.png ; $\operatorname { ln } t$ ; confidence 0.999

100. l05935016.png ; $x ( t ) \equiv 0$ ; confidence 0.999

101. l1201604.png ; $z = e ^ { i \theta }$ ; confidence 0.999

102. m12009064.png ; $P ^ { * } ( D )$ ; confidence 0.999

103. m06235096.png ; $\mu ^ { - 1 }$ ; confidence 0.999

104. m06254054.png ; $| \theta - \frac { p } { n } | \leq \frac { 1 } { \tau q ^ { 2 } }$ ; confidence 0.999

105. m062620248.png ; $x > y > z$ ; confidence 0.999

106. m0631709.png ; $d \sigma ( t )$ ; confidence 0.999

107. m063460237.png ; $( f ) = D$ ; confidence 0.999

108. m06399032.png ; $A = \pi r ^ { 2 }$ ; confidence 0.999

109. m064000127.png ; $F = W _ { 2 } ^ { - 1 } ( \Omega )$ ; confidence 0.999

110. m0644606.png ; $d ( x + y ) + d ( x y ) = d ( x ) + d ( y )$ ; confidence 0.999

111. m06491014.png ; $Y ( K )$ ; confidence 0.999

112. m06518046.png ; $\alpha : A \rightarrow A _ { 1 }$ ; confidence 0.999

113. m130250103.png ; $s > n / 2$ ; confidence 0.999

114. n06689035.png ; $b = 7$ ; confidence 0.999

115. n12011011.png ; $\xi ( x ) = 1$ ; confidence 0.999

116. n0673605.png ; $\phi ( x ) \geq 0$ ; confidence 0.999

117. n067520122.png ; $j \geq q + 1$ ; confidence 0.999

118. o06833067.png ; $e ^ { - \lambda s }$ ; confidence 0.999

119. o06849072.png ; $2 \leq t \leq 3$ ; confidence 0.999

120. o0700104.png ; $G ( x ) = \{ g ( x ) : g \in G \}$ ; confidence 0.999

121. o07006030.png ; $\beta ( x ) \neq 0$ ; confidence 0.999

122. p110120339.png ; $\eta ( x ) \in \eta$ ; confidence 0.999

123. p07251086.png ; $T ^ { * } U$ ; confidence 0.999

124. p07270029.png ; $f ( L )$ ; confidence 0.999

125. p07271076.png ; $t ( P )$ ; confidence 0.999

126. p12013011.png ; $n > 1$ ; confidence 0.999

127. p074140226.png ; $\phi ^ { + } ( x )$ ; confidence 0.999

128. p074140120.png ; $p > n / 2$ ; confidence 0.999

129. p074150271.png ; $- \infty \leq y < \infty$ ; confidence 0.999

130. q12005052.png ; $H _ { k + 1 } y ^ { k } = s ^ { k }$ ; confidence 0.999

131. r082060128.png ; $2 g - 1$ ; confidence 0.999

132. r08216030.png ; $n < 7$ ; confidence 0.999

133. r082200111.png ; $\gamma \geq \gamma _ { k }$ ; confidence 0.999

134. r0822904.png ; $x + z < y + z$ ; confidence 0.999

135. r12002013.png ; $J ( q ) ^ { T }$ ; confidence 0.999

136. s1300707.png ; $\phi ( f ( x ) ) = g ( x ) \phi ( x ) + h ( x )$ ; confidence 0.999

137. s086810102.png ; $f \in W _ { 2 } ^ { 3 } ( \Omega )$ ; confidence 0.999

138. s11026022.png ; $\eta \in R ^ { k }$ ; confidence 0.999

139. s08771037.png ; $\omega ( R )$ ; confidence 0.999

140. s09022010.png ; $x ( \phi )$ ; confidence 0.999

141. s09158080.png ; $\Phi ( f ( w ) ) = \sigma ( \Phi ( w ) )$ ; confidence 0.999

142. t13005053.png ; $\sigma ^ { \prime } ( A )$ ; confidence 0.999

143. t09260081.png ; $\delta = 2$ ; confidence 0.999

144. t13014052.png ; $( Q )$ ; confidence 0.999

145. t09377043.png ; $R ^ { 0 } f$ ; confidence 0.999

146. v09638020.png ; $X ^ { \prime } \cap \pi ^ { - 1 } ( b )$ ; confidence 0.999

147. v13011069.png ; $\theta = 2 \pi$ ; confidence 0.999

148. v09690074.png ; $\phi ( U T U ^ { - 1 } ) = \phi ( T )$ ; confidence 0.999

149. v096900125.png ; $P \sim P _ { 1 }$ ; confidence 0.999

150. w0976009.png ; $H ^ { 2 n } ( X )$ ; confidence 0.999

151. w120070106.png ; $C ^ { \prime } = 1$ ; confidence 0.999

152. a010290104.png ; $A B$ ; confidence 0.999

153. a01020020.png ; $( \phi , \psi )$ ; confidence 0.999

154. a01146063.png ; $p > 1$ ; confidence 0.999

155. a13006024.png ; $R = R ( K )$ ; confidence 0.999

156. a130060101.png ; $0 < \lambda < 1$ ; confidence 0.999

157. a13014011.png ; $d _ { 1 } ( x , y ) = r$ ; confidence 0.999

158. a13008026.png ; $f ( x ) \leq \alpha g ( x ; m , s )$ ; confidence 0.999

159. a11004022.png ; $( L ^ { 2 } )$ ; confidence 0.999

160. m06262059.png ; $\mu \geq 1$ ; confidence 0.999

161. a11049031.png ; $F = I - R D$ ; confidence 0.999

162. h047410112.png ; $\beta = \alpha - \sigma ( \alpha )$ ; confidence 0.999

163. l058590190.png ; $f ( x ) f ( y ) = f ( x y )$ ; confidence 0.999

164. a01153020.png ; $\alpha \neq 0,1$ ; confidence 0.999

165. n06690098.png ; $H ^ { 1 } ( G , A / B )$ ; confidence 0.999

166. l05861085.png ; $\Gamma = g ( \Gamma _ { 1 } )$ ; confidence 0.999

167. r07763048.png ; $\delta _ { \phi } \in P _ { \phi }$ ; confidence 0.999

168. w120090385.png ; $W ( \lambda ) ^ { \lambda }$ ; confidence 0.999

169. a11025020.png ; $T _ { \infty }$ ; confidence 0.999

170. a01021039.png ; $\delta _ { i j } = 0$ ; confidence 0.999

171. h04770018.png ; $\psi : G / H \rightarrow M$ ; confidence 0.999

172. a12003015.png ; $( - \infty , 0 ]$ ; confidence 0.999

173. a01012070.png ; $0,1$ ; confidence 0.999

174. a110040224.png ; $H ^ { 0 } ( A , L ) ^ { - } \subset H ^ { 0 } ( A , L )$ ; confidence 0.999

175. a01012048.png ; $7259 < W _ { 1 } < 0.7378$ ; confidence 0.999

176. a130180139.png ; $( U )$ ; confidence 0.999

177. a011450104.png ; $\operatorname { deg } D = n$ ; confidence 0.999

178. a110040111.png ; $B = J ( H )$ ; confidence 0.999

179. a010210139.png ; $\omega = R ( z , w ) d z$ ; confidence 0.999

180. a01164042.png ; $q ( V ) > 0$ ; confidence 0.999

181. f040820112.png ; $F ( X , Y ) = f ^ { - 1 } ( f ( X ) + f ( Y ) )$ ; confidence 0.999

182. d034120381.png ; $f ^ { * } ( z ) \in B ^ { 1 }$ ; confidence 0.999

183. a01148068.png ; $n > 4$ ; confidence 0.999

184. a01081088.png ; $\int _ { t _ { 0 } } ^ { t _ { 1 } } \overline { \xi } ( t ) f ( t ) d t = 0$ ; confidence 0.999

185. r07763047.png ; $V ( \delta _ { \phi } )$ ; confidence 0.999

186. a010950140.png ; $\Omega ^ { i } = 0$ ; confidence 0.999

187. a130040105.png ; $D$ ; confidence 0.999

188. a11001034.png ; $k ( A )$ ; confidence 0.999

189. a01110071.png ; $\phi : L \rightarrow L$ ; confidence 0.999

190. a130040696.png ; $\square \varphi$ ; confidence 0.999

191. c02325068.png ; $1 \leq k \leq n$ ; confidence 0.999

192. a011300148.png ; $\tau = \Delta _ { 1 } / t - 1$ ; confidence 0.999

193. f04060023.png ; $f ^ { - 1 } ( f ( x ) )$ ; confidence 0.999

194. l05848015.png ; $[ D _ { 1 } , D _ { 2 } ] = D _ { 1 } \circ D _ { 2 } - D _ { 2 } \circ D _ { 1 }$ ; confidence 0.999

195. a130040226.png ; $\Gamma \approx \Delta$ ; confidence 0.999

196. a01149077.png ; $f _ { 1 } ^ { \prime } ( x )$ ; confidence 0.999

197. a12013039.png ; $\sqrt { n } ( \theta _ { n } - \theta ^ { * } )$ ; confidence 0.999

198. h047690123.png ; $G = \operatorname { Spin } ( 7 )$ ; confidence 0.999

199. a01137034.png ; $z ^ { 2 } \in A$ ; confidence 0.999

200. a011450244.png ; $f : V \rightarrow B$ ; confidence 0.999

201. a011640135.png ; $O _ { V }$ ; confidence 0.999

202. c023150179.png ; $\{ \Phi \}$ ; confidence 0.999

203. c02372033.png ; $( U ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.999

204. a01081077.png ; $\beta \xi ( 0 ) + \delta \dot { \xi } ( 0 ) + \dot { \xi } ( 1 ) = 0$ ; confidence 0.999

205. a12011018.png ; $A ( 1 , n ) = n + 2$ ; confidence 0.999

206. a01081076.png ; $\alpha \xi ( 0 ) + \gamma \dot { \xi } ( 0 ) + \xi ( 1 ) = 0$ ; confidence 0.999

207. a13007090.png ; $m < n$ ; confidence 0.999

208. a110010178.png ; $A x = \lambda x$ ; confidence 0.999

209. r08149043.png ; $V ( \lambda )$ ; confidence 0.999

210. a011450100.png ; $J ( X )$ ; confidence 0.999

211. a12005041.png ; $\| ( \lambda - A ( t ) ) ^ { - 1 } \| \leq M / ( 1 + | \lambda | )$ ; confidence 0.999

212. a01012058.png ; $f ( z ) \equiv 0$ ; confidence 0.999

213. c1102505.png ; $( p , q )$ ; confidence 0.999

214. d032150200.png ; $\Delta > 0$ ; confidence 0.999

215. a1301201.png ; $D = ( V , B )$ ; confidence 0.999

216. d034120351.png ; $\phi ( \zeta ) \equiv 0$ ; confidence 0.999

217. a11004034.png ; $J ( H )$ ; confidence 0.999

218. d030700173.png ; $X ^ { \prime } \rightarrow R ^ { \prime }$ ; confidence 0.999

219. a011640146.png ; $\omega \leq \operatorname { dim } H ^ { 2 } ( V , E _ { \alpha } )$ ; confidence 0.999

220. a110010280.png ; $k ( A , B )$ ; confidence 0.999

221. a130070131.png ; $> 20162$ ; confidence 0.999

222. a011380192.png ; $\square$ ; confidence 0.999

223. a011300168.png ; $\nabla ( t ) = t ^ { 2 k } \nabla ( t ^ { - 1 } )$ ; confidence 0.999

224. a01018053.png ; $\sigma > 0$ ; confidence 0.999

225. s085590490.png ; $X ( x , y ) d y = Y ( x , y ) d x$ ; confidence 0.999

226. f040820160.png ; $( A , \pi )$ ; confidence 0.999

227. l05925058.png ; $[ \Gamma : H ]$ ; confidence 0.999

228. a0113009.png ; $\pi _ { 1 } ( M ) = G$ ; confidence 0.999

229. a01148098.png ; $f ^ { ( k ) } ( c ) \neq 0$ ; confidence 0.999

230. a13013029.png ; $\phi _ { + } = \operatorname { exp } ( \sum _ { j = 1 } ^ { \infty } \phi _ { j } ( x , t ) z ^ { j } )$ ; confidence 0.999

231. s08559049.png ; $\tau _ { 1 } - \epsilon < \tau ^ { \prime } < \tau _ { 1 }$ ; confidence 0.999

232. a01412076.png ; $n ( n - 1 ) / 2$ ; confidence 0.999

233. r08103019.png ; $Z ( S )$ ; confidence 0.999

234. h04797081.png ; $U ( \pi ( G , K ) )$ ; confidence 0.999

235. a12005022.png ; $U ( t , r ) U ( r , s ) = U ( t , s )$ ; confidence 0.999

236. e03555059.png ; $k = 0$ ; confidence 0.999

237. a0115009.png ; $s ^ { - 1 } d t$ ; confidence 0.999

238. a12007059.png ; $f \in B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.999

239. d031830224.png ; $F _ { 1 }$ ; confidence 0.999

240. a01020030.png ; $\gamma = \alpha \beta$ ; confidence 0.999

241. a12008051.png ; $\frac { d ^ { 2 } u } { d t ^ { 2 } } + A ( t ) u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.999

242. f04037016.png ; $H ^ { k } ( X , F )$ ; confidence 0.999

243. a12010047.png ; $R ( I + A ) = X$ ; confidence 0.999

244. a11030026.png ; $( T V , d )$ ; confidence 0.999

245. a011300113.png ; $\nabla ( t ) = \overline { \Delta } _ { 1 } ( t ) / ( t - 1 ) ^ { \mu - 2 }$ ; confidence 0.999

246. f040820179.png ; $[ 1 ] ( X ) = X$ ; confidence 0.999

247. a0115005.png ; $\frac { d x } { \sqrt { f ( x ) } } = \frac { d y } { \sqrt { f ( y ) } }$ ; confidence 0.999

248. d034120348.png ; $\phi \in \Omega$ ; confidence 0.999

249. a11004053.png ; $( d _ { 1 } , d _ { 2 } )$ ; confidence 0.999

250. a12005050.png ; $U ( t , s )$ ; confidence 0.999

251. a11010048.png ; $T _ { \alpha } ( f ) \rightarrow f$ ; confidence 0.999

252. a0102206.png ; $2 p$ ; confidence 0.999

253. d03278014.png ; $G \subset R ^ { 2 }$ ; confidence 0.999

254. a120050125.png ; $A ( t , u )$ ; confidence 0.999

255. s13054024.png ; $\pi : H \rightarrow G$ ; confidence 0.999

256. a01121013.png ; $v ( z )$ ; confidence 0.999

257. a13008045.png ; $\alpha ( s ) = \frac { f ( L ( s ) ) } { g ( L ( s ) ; m ( s ) , s ) } = \frac { f ( R ( s ) ) } { g ( R ( s ) ; m ( s ) , s ) }$ ; confidence 0.999

258. a11028056.png ; $\chi ( G )$ ; confidence 0.999

259. a01254012.png ; $D = G$ ; confidence 0.999

260. a12011032.png ; $T ( 2 , n )$ ; confidence 0.999

261. d030700172.png ; $R ^ { \prime } \rightarrow R$ ; confidence 0.999

262. d031830361.png ; $A \subset I$ ; confidence 0.999

263. a1200602.png ; $u ( x , t ) \in P ( x ) , \quad ( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.999

264. a130050222.png ; $\eta < \delta$ ; confidence 0.999

265. a01152024.png ; $( G , V , \tau )$ ; confidence 0.999

266. s085590644.png ; $G ( x , y , z ) = 0$ ; confidence 0.999

267. a120310106.png ; $B ( K ) / M ( K ) = C ( S )$ ; confidence 0.999

268. r08137025.png ; $\{ \rho ^ { \alpha } : \alpha \in I \}$ ; confidence 0.999

269. a011370125.png ; $f \in A$ ; confidence 0.999

270. a011490133.png ; $x = \infty$ ; confidence 0.999

271. a01076019.png ; $I ( t )$ ; confidence 0.999

272. a11007021.png ; $\Pi _ { p } \subset \Pi _ { q }$ ; confidence 0.999

273. a01082031.png ; $\theta ^ { - 1 } : H _ { G } \rightarrow H ^ { F }$ ; confidence 0.999

274. h047410130.png ; $I = \int F d t$ ; confidence 0.999

275. l05861035.png ; $( [ x , y ] , z ) + ( y , [ x , z ] ) = 0$ ; confidence 0.999

276. t12001070.png ; $\tau = ( \tau _ { 1 } , \tau _ { 2 } , \tau _ { 3 } ) \in R ^ { 3 }$ ; confidence 0.999

277. r07763098.png ; $k = p > 0$ ; confidence 0.999

278. a120160109.png ; $1,160$ ; confidence 0.999

279. a130050295.png ; $k > 1$ ; confidence 0.999

280. f110160109.png ; $i < j$ ; confidence 0.999

281. a12008020.png ; $L ^ { 2 } ( \Omega )$ ; confidence 0.999

282. a01145033.png ; $P ( X )$ ; confidence 0.999

283. a011300122.png ; $\Delta ( t )$ ; confidence 0.999

284. a01148096.png ; $k - 1$ ; confidence 0.999

285. a12002020.png ; $f : X \rightarrow Z$ ; confidence 0.999

286. u09524026.png ; $[ 0,3 ]$ ; confidence 0.999

287. a13009029.png ; $k + 1$ ; confidence 0.999

288. p07464013.png ; $p : V \rightarrow B$ ; confidence 0.999

289. d034120140.png ; $( n - r - 1 )$ ; confidence 0.998

290. a011490140.png ; $y ( x )$ ; confidence 0.998

291. s08559064.png ; $\phi ( 0 ) = \zeta$ ; confidence 0.998

292. l05851049.png ; $[ X _ { \alpha } , Y _ { \alpha } ] = H _ { \alpha }$ ; confidence 0.998

293. k11007041.png ; $G / B \times G / B$ ; confidence 0.998

294. a12004013.png ; $t \in ( 0 , \infty )$ ; confidence 0.998

295. a01046022.png ; $y ^ { \prime }$ ; confidence 0.998

296. a011300126.png ; $\Delta _ { 1 } ( t ) = 1$ ; confidence 0.998

297. a120070111.png ; $C ( \overline { \Omega } )$ ; confidence 0.998

298. a110010157.png ; $( A + \delta A ) ^ { + } - A ^ { + }$ ; confidence 0.998

299. a11022090.png ; $f : H \rightarrow R$ ; confidence 0.998

300. a01150080.png ; $f : X \rightarrow P ^ { 1 }$ ; confidence 0.998

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/3. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/3&oldid=43821
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