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(AUTOMATIC EDIT of page 9 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 9 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(6 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460115.png ; $n \leq 2$ ; confidence 0.987
  
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2. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510
+
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848094.png ; $Y \mapsto X Y$ ; confidence 0.987
  
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3. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073020/p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755
+
3. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103026.png ; $W _ { k } ( S , G )$ ; confidence 0.987
  
−
4. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040020.png ; $X ^ { \odot } = \{ x ^ { * } \in X ^ { * }$ ; confidence 0.987
  
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5. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
+
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
  
−
6. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073100/p07310032.png ; $\mu A = m > 0$ ; confidence 1.000
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
  
−
7. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
  
−
8. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073280/p07328015.png ; $2 \lambda$ ; confidence 1.000
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
−
9. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
−
10. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
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11. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p07334022.png ; $/ t \rightarrow \lambda$ ; confidence 0.669
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
−
12. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
  
−
13. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
+
13. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
  
−
14. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
+
14. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
  
−
15. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073530/p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226
+
15. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
  
−
16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370015.png ; $f ( n ) \geq 0$ ; confidence 1.000
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
  
−
17. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370045.png ; $[ f _ { G } ]$ ; confidence 0.256
+
17. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
  
−
18. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
  
−
19. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
  
−
20. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700127.png ; $m / m ^ { 2 }$ ; confidence 0.612
+
20. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
−
21. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073740/p07374027.png ; $( \xi ) _ { R }$ ; confidence 0.672
+
21. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
−
22. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998
+
22. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
−
23. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
+
23. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
  
−
24. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073760/p0737605.png ; $\omega _ { \mathscr { A } } : X ( G ) \rightarrow T$ ; confidence 0.090
+
24. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
  
−
25. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073830/p07383050.png ; $E \subset X = R ^ { \prime }$ ; confidence 0.250
+
25. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
  
−
26. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073840/p0738407.png ; $A \supset B$ ; confidence 0.432
+
26. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
  
−
27. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073880/p0738804.png ; $x _ { 1 } = \ldots = x _ { n } = 0$ ; confidence 0.697
+
27. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
−
28. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
+
28. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
−
29. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073960/p0739603.png ; $P ( x ) = a _ { 0 } + \alpha _ { 1 } x + \ldots + \alpha _ { n } x ^ { n }$ ; confidence 0.639
+
29. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
−
30. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073980/p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748
+
30. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
  
−
31. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401048.png ; $O _ { 3 } = O _ { 6 } \cap O _ { 7 }$ ; confidence 0.673
+
31. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
  
−
32. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
32. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
  
−
33. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074070/p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996
+
33. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427035.png ; $H ( F _ { n } , J _ { 1 } )$ ; confidence 0.987
  
−
34. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074100/p07410035.png ; $v _ { i } = \partial f / \partial t ^ { i }$ ; confidence 0.629
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987
  
−
35. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140226.png ; $\phi ^ { + } ( x )$ ; confidence 0.999
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050210.png ; $G _ { K }$ ; confidence 0.987
  
−
36. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
+
36. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987
  
−
37. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140120.png ; $p > n / 2$ ; confidence 0.999
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987
  
−
38. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150271.png ; $- \infty \leq y < \infty$ ; confidence 0.999
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987
  
−
39. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p07415079.png ; $\underline { \mathfrak { U } } \square _ { \phi } = - \overline { \mathfrak { U } } _ { \phi }$ ; confidence 0.680
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016051.png ; $X ( t )$ ; confidence 0.987
  
−
40. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
+
40. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797067.png ; $H ^ { n } ( G , K )$ ; confidence 0.987
  
−
41. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416038.png ; $\mu _ { 1 } = \mu _ { 2 } = \mu > 0$ ; confidence 1.000
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016091.png ; $A x = \lambda x$ ; confidence 0.987
  
−
42. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987
  
−
43. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074530/p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456
+
43. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590379.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.987
  
−
44. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987
  
−
45. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987
  
−
46. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074660/p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055031.png ; $g x = x$ ; confidence 0.987
  
−
47. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469036.png ; $G = G ^ { \prime }$ ; confidence 1.000
+
47. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t09290043.png ; $( G , B , N , S )$ ; confidence 0.987
  
−
48. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121054.png ; $\alpha \geq 0$ ; confidence 0.986
  
−
49. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017047.png ; $\Phi ( x )$ ; confidence 0.986
  
−
50. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986
  
−
51. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986
  
−
52. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743
+
52. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008039.png ; $f ^ { - 1 }$ ; confidence 0.986
  
−
53. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
+
53. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690059.png ; $H ^ { 0 } ( G , A ) = H ^ { 0 } ( C ^ { * } ( G , A ) )$ ; confidence 0.986
  
−
54. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986
  
−
55. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
+
55. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900124.png ; $H ^ { 2 } ( G , A )$ ; confidence 0.986
  
−
56. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $E X _ { k } = a$ ; confidence 0.520
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986
  
−
57. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a01097011.png ; $O M$ ; confidence 0.986
  
−
58. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986
  
−
59. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075150/p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986
  
−
60. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986
  
−
61. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
+
61. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986
  
−
62. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590482.png ; $( \frac { \partial F ( x , y , \lambda ) } { \partial x } , \frac { \partial F ( x , y , \lambda ) } { \partial y } )$ ; confidence 0.986
  
−
63. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093033.png ; $\frac { \partial \omega } { \partial t } = \Delta \omega - 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.986
  
−
64. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240415.png ; $f ( \Theta )$ ; confidence 0.986
  
−
65. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022020.png ; $\epsilon > 0$ ; confidence 0.986
  
−
66. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046011.png ; $1$ ; confidence 0.986
  
−
67. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
67. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986
  
−
68. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
−
69. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
−
70. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
−
71. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
−
72. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
−
73. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
  
−
74. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560136.png ; $P Q = P \times Q$ ; confidence 0.481
+
74. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
  
−
75. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
  
−
76. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
  
−
77. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
  
−
78. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
+
78. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
−
79. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
  
−
80. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
+
80. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
  
−
81. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700100.png ; $q ^ { 1 }$ ; confidence 0.419
+
81. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
  
−
82. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014049.png ; $\gamma \in R$ ; confidence 0.998
+
82. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
  
−
83. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
  
−
84. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
84. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
  
−
85. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986
  
−
86. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073540/p07354050.png ; $P \{ X _ { v + 1 } = k + 1 | X _ { k } = k \} = \frac { b + k c } { b + r + n c } = \frac { p + k \gamma } { 1 + n \gamma }$ ; confidence 0.303
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464037.png ; $B \rightarrow G$ ; confidence 0.986
  
−
87. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
+
87. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120514.png ; $\prod _ { \alpha } F _ { \alpha }$ ; confidence 0.986
  
−
88. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076080/q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380124.png ; $( \mathfrak { A } \rightarrow \mathfrak { B } ) = 1$ ; confidence 0.986
  
−
89. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076090/q07609018.png ; $( n = 4 )$ ; confidence 1.000
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986
  
−
90. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076190/q07619068.png ; $\alpha = - 1 / 2$ ; confidence 1.000
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004018.png ; $\varphi \in Fm$ ; confidence 0.986
  
−
91. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986
  
−
92. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986
  
−
93. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631095.png ; $\left( \begin{array} { l } { n } \\ { k } \end{array} \right) _ { q } = \frac { ( q ^ { n } - 1 ) \ldots ( q ^ { n - k + 1 } - 1 ) } { ( q ^ { k } - 1 ) \ldots ( q - 1 ) }$ ; confidence 0.443
+
93. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986
  
−
94. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310117.png ; $R ^ { 12 }$ ; confidence 1.000
+
94. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235024.png ; $f ( x , y ) = a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.986
  
−
95. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
95. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472041.png ; $\Gamma = \Gamma _ { \alpha , S }$ ; confidence 0.986
  
−
96. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986
  
−
97. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
+
97. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070097.png ; $( S , \delta )$ ; confidence 0.985
  
−
98. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076500/q07650033.png ; $3 r ( L _ { 1 } \cap L _ { 2 } ) = 3 _ { r } ( L _ { 1 } ) + 3 r ( L _ { 2 } )$ ; confidence 0.248
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110020.png ; $\vec { a b } + \vec { b c } + \vec { c a } = \vec { 0 }$ ; confidence 0.985
  
−
99. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080028.png ; $= B ( \Delta T ( Z , X ) , Y ) , \quad \Delta T = T - T$ ; confidence 0.985
  
−
100. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005052.png ; $H _ { k + 1 } y ^ { k } = s ^ { k }$ ; confidence 0.999
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985
  
−
101. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985
  
−
102. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049010.png ; $R _ { D } \subset L _ { 0 } ( X )$ ; confidence 0.985
  
−
103. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076470/q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008070.png ; $2 s = R - L$ ; confidence 0.985
  
−
104. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653094.png ; $\square ^ { 01 } S _ { 3 } ^ { 1 }$ ; confidence 0.621
+
104. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797068.png ; $\mu = \Delta ^ { * }$ ; confidence 0.985
  
−
105. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121027.png ; $x \rightarrow + \infty$ ; confidence 0.985
  
−
106. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101606.png ; $( n \times n )$ ; confidence 0.985
  
−
107. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $N _ { A }$ ; confidence 0.730
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764037.png ; $h ^ { 1 } ( O _ { Z } ) = 0$ ; confidence 0.985
  
−
108. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985
  
−
109. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985
  
−
110. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
  
−
111. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076670/q07667033.png ; $R [ x ]$ ; confidence 0.996
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600156.png ; $A _ { m } / H _ { m }$ ; confidence 0.985
  
−
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600149.png ; $\alpha \equiv 1$ ; confidence 0.985
  
−
113. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076770/q07677043.png ; $X = x _ { 0 } + V$ ; confidence 0.644
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985
  
−
114. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372058.png ; $\Gamma = \{ z \in \overline { C } : | z | = 1 \}$ ; confidence 0.985
  
−
115. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l05843089.png ; $\mathfrak { g } _ { \alpha } \neq 0$ ; confidence 0.985
  
−
116. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680082.png ; $\{ \tau _ { j } ^ { e } \} \in G _ { I }$ ; confidence 0.146
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985
  
−
117. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
+
117. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985
  
−
118. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
  
−
119. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680094.png ; $\tau _ { 0 } ^ { e ^ { 3 } }$ ; confidence 0.252
+
119. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n0669009.png ; $C ^ { 2 }$ ; confidence 0.985
  
−
120. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820110.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) < x \sqrt { t } \} = \sqrt { \frac { 2 } { \pi } } \int _ { 0 } ^ { x / \sigma } e ^ { - u ^ { 2 } / 2 } d u$ ; confidence 0.716
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120321.png ; $\Lambda \equiv 0$ ; confidence 0.985
  
−
121. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820155.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) = k \} = \operatorname { lim } _ { t \rightarrow \infty } P \{ q _ { n } = k \} = \frac { ( \alpha \alpha ) ^ { k } } { k ! } e ^ { - \alpha ^ { \prime } \alpha }$ ; confidence 0.087
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
  
−
122. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
−
123. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
−
124. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
−
125. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
−
126. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
+
126. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
  
−
127. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
+
127. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
  
−
128. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
  
−
129. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724
+
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
  
−
130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840293.png ; $G _ { l }$ ; confidence 0.639
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
  
−
131. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601
+
131. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
  
−
132. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076850/q07685043.png ; $E [ \tau _ { j } ^ { S } - \tau _ { j } ^ { \dot { e } } ] ^ { 2 + \gamma }$ ; confidence 0.250
+
132. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
  
−
133. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
+
133. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
  
−
134. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
+
134. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
  
−
135. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
+
135. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
  
−
136. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
+
136. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
  
−
137. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
+
137. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
  
−
138. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
+
138. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
  
−
139. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
+
139. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
  
−
140. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
+
140. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
  
−
141. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077250/r07725048.png ; $( n - \mu _ { 1 } ) / 2$ ; confidence 1.000
+
141. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
−
142. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
142. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
  
−
143. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077370/r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432
+
143. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
  
−
144. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
+
144. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
  
−
145. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
+
145. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
  
−
146. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077510/r0775103.png ; $T = T ( R )$ ; confidence 1.000
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985
  
−
147. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077590/r07759075.png ; $R ( x )$ ; confidence 1.000
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146096.png ; $C _ { \tau } ( X ) \cap C ^ { 1 } ( X )$ ; confidence 0.985
  
−
148. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093024.png ; $\Delta \omega = 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.985
  
−
149. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985
  
−
150. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769070.png ; $f$ ; confidence 0.985
  
−
151. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110040/r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985
  
−
152. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
  
−
153. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
+
153. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985
  
−
154. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
+
154. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985
  
−
155. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380178.png ; $\{ x + y , 1 , x \& y \}$ ; confidence 0.985
  
−
156. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
+
156. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020560/c02056028.png ; $\phi : G \rightarrow G ^ { \prime }$ ; confidence 0.985
  
−
157. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700297.png ; $D ( A \times I )$ ; confidence 0.985
  
−
158. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021055.png ; $F ( m ) = f _ { m } ( m )$ ; confidence 0.639
+
158. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690015.png ; $\delta : C ^ { 1 } \rightarrow C ^ { 2 }$ ; confidence 0.985
  
−
159. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021025.png ; $f ( x ) = x + 1$ ; confidence 1.000
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985
  
−
160. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
+
160. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590383.png ; $x _ { 0 } ^ { 5 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.985
  
−
161. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a010820105.png ; $\alpha = G ( \alpha ^ { \prime } ) \phi$ ; confidence 0.985
  
−
162. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300705.png ; $\sigma ( n ) < 2 n$ ; confidence 0.984
  
−
163. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680209.png ; $n \geq 4$ ; confidence 0.984
  
−
164. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
+
164. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984
  
−
165. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068010.png ; $x \frac { \operatorname { lim } _ { x \rightarrow D } u ( x ) = f ( y _ { 0 } ) } { x \in D }$ ; confidence 0.172
+
165. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984
  
−
166. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
+
166. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984
  
−
167. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080740/r0807408.png ; $x _ { n m _ { n } } \rightarrow ( 0 )$ ; confidence 0.220
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058012.png ; $\frac { d \Omega ( x , t ) } { d x } = f _ { y } ( x , y ( x ) ) \Omega ( x , t )$ ; confidence 0.984
  
−
168. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
  
−
169. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984
  
−
170. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
+
170. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820114.png ; $f ( Z )$ ; confidence 0.984
  
−
171. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
+
171. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984
  
−
172. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
+
172. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083020/s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984
  
−
173. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138019.png ; $x = 1$ ; confidence 0.984
  
−
174. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012064.png ; $\lambda ^ { * } = \lambda ( x ^ { * } , y ^ { * } )$ ; confidence 0.984
  
−
175. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040090.png ; $x ^ { * } \in X ^ { * }$ ; confidence 0.984
  
−
176. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149060.png ; $P _ { k } ( x _ { 0 } ) = 0$ ; confidence 0.984
  
−
177. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081150/r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152012.png ; $G , V$ ; confidence 0.984
  
−
178. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370131.png ; $C ( Y )$ ; confidence 0.984
  
−
179. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
+
179. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035300/e03530041.png ; $J _ { m } ( \lambda )$ ; confidence 0.984
  
−
180. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
  
−
181. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
  
−
182. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
  
−
183. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
  
−
184. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081420/r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
  
−
185. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
  
−
186. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
186. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
  
−
187. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
  
−
188. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
  
−
189. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
  
−
190. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
  
−
191. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
191. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
  
−
192. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
+
192. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
  
−
193. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
+
193. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
  
−
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
+
194. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
  
−
195. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
+
195. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
  
−
196. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
+
196. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
  
−
197. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081560/r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396
+
197. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
  
−
198. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081590/r08159047.png ; $A = \int _ { - \infty } ^ { \infty } \lambda d E _ { \lambda }$ ; confidence 1.000
+
198. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984
  
−
199. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
+
199. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
  
−
200. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
  
−
201. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a0109908.png ; $k = f ( s )$ ; confidence 0.984
  
−
202. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984
  
−
203. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081980/r08198090.png ; $\operatorname { ch } ( f _ { 1 } ( x ) ) = f * ( \operatorname { ch } ( x ) \operatorname { td } ( T _ { f } ) )$ ; confidence 0.130
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984
  
−
204. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174024.png ; $n \geq 2$ ; confidence 0.984
  
−
205. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121086.png ; $w ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) w = 0$ ; confidence 0.984
  
−
206. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030022.png ; $\Omega X$ ; confidence 0.984
  
−
207. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984
  
−
208. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984
  
−
209. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010064.png ; $\int _ { \Omega } u \Delta u d x = \int _ { \partial \Omega } u \frac { \partial u } { \partial \eta } d \sigma - \int _ { \Omega } | \operatorname { grad } u | ^ { 2 } d x$ ; confidence 0.983
  
−
210. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $2 g - 1$ ; confidence 0.999
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116035.png ; $( A )$ ; confidence 0.983
  
−
211. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145090.png ; $l ( K - D ) > 0$ ; confidence 0.983
  
−
212. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082070/r08207022.png ; $R _ { i l k } ^ { q } = - R _ { k l } ^ { q }$ ; confidence 0.210
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692064.png ; $2 ^ { n }$ ; confidence 0.983
  
−
213. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082080/r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082010.png ; $H ^ { F }$ ; confidence 0.983
  
−
214. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300701.png ; $\sigma ( n )$ ; confidence 0.983
  
−
215. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082130/r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164065.png ; $H ^ { \prime } ( V , O _ { V } ( D + n H ) ) = 0$ ; confidence 0.983
  
−
216. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082150/r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a1201603.png ; $Z =$ ; confidence 0.983
  
−
217. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380101.png ; $( ( x \sim ( y \rightarrow z ) ) \rightarrow ( x \& z ) )$ ; confidence 0.983
  
−
218. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216030.png ; $n < 7$ ; confidence 0.999
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983
  
−
219. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120557.png ; $f _ { i } : X \rightarrow \overline { R }$ ; confidence 0.983
  
−
220. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201201.png ; $( m \times n )$ ; confidence 0.983
  
−
221. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
+
221. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820140.png ; $( A )$ ; confidence 0.983
  
−
222. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235072.png ; $A \cap L$ ; confidence 0.983
  
−
223. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200111.png ; $\gamma \geq \gamma _ { k }$ ; confidence 0.999
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028043.png ; $n - 1$ ; confidence 0.983
  
−
224. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
+
224. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615019.png ; $n = 6$ ; confidence 0.983
  
−
225. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
+
225. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830167.png ; $\alpha \in U$ ; confidence 0.983
  
−
226. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
226. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590647.png ; $y = y ( u , v )$ ; confidence 0.983
  
−
227. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
+
227. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983
  
−
228. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
+
228. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057067.png ; $H ^ { p } ( X , S ) = 0 , \quad p \geq 1$ ; confidence 0.983
  
−
229. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
+
229. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062110/m06211054.png ; $n \leq 5$ ; confidence 0.983
  
−
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r0822904.png ; $x + z < y + z$ ; confidence 0.999
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037019.png ; $H _ { c } ^ { k } ( X , F )$ ; confidence 0.983
  
−
231. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114606.png ; $C ( X ) = \oplus _ { p } C ^ { p } ( X )$ ; confidence 0.983
  
−
232. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
+
232. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
  
−
233. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
  
−
234. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
  
−
235. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
  
−
236. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
  
−
237. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
+
237. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
  
−
238. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731
+
238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
  
−
239. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
  
−
240. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
+
240. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
  
−
241. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
+
241. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
  
−
242. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002013.png ; $J ( q ) ^ { T }$ ; confidence 0.999
+
242. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
  
−
243. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256054.png ; $19$ ; confidence 1.000
+
243. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
  
−
244. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256016.png ; $1$ ; confidence 0.430
+
244. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
  
−
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
+
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
  
−
246. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256041.png ; $300$ ; confidence 0.440
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
  
−
247. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
247. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
  
−
248. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590243.png ; $\lambda - \mu$ ; confidence 1.000
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983
  
−
249. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590135.png ; $- 3$ ; confidence 1.000
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983
  
−
250. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983
  
−
251. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593022.png ; $( \phi ( g ) x , y ) = ( x , \psi ( g ^ { - 1 } ) y )$ ; confidence 0.983
  
−
252. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
+
252. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601030.png ; $n \geq 6$ ; confidence 0.983
  
−
253. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046020.png ; $F = ( \frac { \mu } { 4 \pi } ) B h v = ( \frac { \mu } { 4 \pi } ) ( \frac { B ^ { 2 } } { A } ) v ^ { 2 } = \rho v ^ { 2 } A = E A$ ; confidence 0.983
  
−
254. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
+
254. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983
  
−
255. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082690/r08269033.png ; $| \chi | < \pi$ ; confidence 0.998
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012016.png ; $x = A v \text { and } y = B v$ ; confidence 0.983
  
−
256. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301089.png ; $F ( x _ { 1 } h _ { 1 } + \ldots + x _ { n } h _ { n } ) =$ ; confidence 0.983
  
−
257. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201007.png ; $y ^ { \prime } ( t ) = - A y ( t )$ ; confidence 0.983
  
−
258. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110073.png ; $f \rightarrow \phi$ ; confidence 0.983
  
−
259. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120227.png ; $\Gamma ( X \backslash Y , O _ { X } )$ ; confidence 0.983
  
−
260. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983
  
−
261. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317062.png ; $\tilde { D } = E \{ M | m = 0 \} = \frac { ( \sum _ { r = 1 } ^ { N - n } r \frac { C _ { N - r } ^ { n } } { C _ { N } ^ { n } } p _ { r } ) } { P \{ m = 0 \} }$ ; confidence 0.234
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983
  
−
262. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983
  
−
263. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010038.png ; $\langle A x _ { 1 } - A x _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.983
  
−
264. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002035.png ; $C E$ ; confidence 0.982
  
−
265. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
+
265. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982
  
−
266. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
266. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001052.png ; $M _ { K }$ ; confidence 0.982
  
−
267. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982
  
−
268. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $d \in C$ ; confidence 0.487
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041073.png ; $\psi : X \rightarrow Y = \psi ( X )$ ; confidence 0.982
  
−
269. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338074.png ; $\Phi ( r - b + c )$ ; confidence 1.000
+
269. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982
  
−
270. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130070/s1300707.png ; $\phi ( f ( x ) ) = g ( x ) \phi ( x ) + h ( x )$ ; confidence 0.999
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300155.png ; $\Delta _ { i } ( 1 ) = \pm 1$ ; confidence 0.982
  
−
271. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\pi \Gamma$ ; confidence 0.616
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001092.png ; $A \delta x = r$ ; confidence 0.982
  
−
272. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052016.png ; $11$ ; confidence 0.982
  
−
273. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
  
−
274. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982
  
−
275. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004016.png ; $| \lambda | = \Sigma _ { i } \lambda$ ; confidence 0.682
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480140.png ; $( x _ { 0 } )$ ; confidence 0.982
  
−
276. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590462.png ; $D _ { \mu }$ ; confidence 0.982
  
−
277. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982
  
−
278. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149096.png ; $x - x 0$ ; confidence 0.982
  
−
279. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
+
279. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058650/l0586508.png ; $g \mapsto g ^ { - 1 }$ ; confidence 0.982
  
−
280. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110026.png ; $a + 1$ ; confidence 0.982
  
−
281. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
  
−
282. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
  
−
283. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
  
−
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
  
−
285. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $18$ ; confidence 0.479
+
285. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
  
−
286. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
+
286. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
  
−
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
+
287. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
  
−
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
+
288. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
  
−
289. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
+
289. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
  
−
290. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
+
290. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
  
−
291. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
+
291. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
  
−
292. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
  
−
293. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300704.png ; $\sigma ( n ) > 2 n$ ; confidence 0.982
  
−
294. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180115.png ; $R \subseteq U \times U$ ; confidence 0.982
  
−
295. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
+
295. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982
  
−
296. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s08558099.png ; $\psi ( t ) = a * ( t ) g ( t ) +$ ; confidence 0.645
+
296. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690118.png ; $n = 2 k - 1$ ; confidence 0.982
  
−
297. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011031.png ; $T ( 1 , n ) = 2 ^ { n }$ ; confidence 0.982
  
−
298. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
298. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982
  
−
299. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008022.png ; $L < R$ ; confidence 0.982
  
−
300. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
+
300. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631061.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } \otimes \mathfrak { g }$ ; confidence 0.982

Latest revision as of 09:58, 17 October 2019

List

1. a011460115.png ; $n \leq 2$ ; confidence 0.987

2. l05848094.png ; $Y \mapsto X Y$ ; confidence 0.987

3. r08103026.png ; $W _ { k } ( S , G )$ ; confidence 0.987

4. a11040020.png ; $X ^ { \odot } = \{ x ^ { * } \in X ^ { * }$ ; confidence 0.987

5. t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987

6. a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987

7. a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987

8. a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987

9. a1101003.png ; $V$ ; confidence 0.987

10. a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987

11. a01152036.png ; $V ^ { 1 }$ ; confidence 0.987

12. b11038019.png ; $w = \pi ( z )$ ; confidence 0.987

13. b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987

14. b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987

15. c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987

16. c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987

17. d13009051.png ; $u > 1$ ; confidence 0.987

18. e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987

19. e03717072.png ; $r < | z | < 1$ ; confidence 0.987

20. f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987

21. g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987

22. h13009035.png ; $g \rightarrow g$ ; confidence 0.987

23. l05814017.png ; $v = v ( t )$ ; confidence 0.987

24. m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987

25. o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987

26. p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987

27. r11002077.png ; $T w | K v$ ; confidence 0.987

28. r08019033.png ; $U$ ; confidence 0.987

29. s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987

30. t09265044.png ; $c < 2$ ; confidence 0.987

31. u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987

32. v1300709.png ; $\vec { V }$ ; confidence 0.987

33. j05427035.png ; $H ( F _ { n } , J _ { 1 } )$ ; confidence 0.987

34. a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987

35. a130050210.png ; $G _ { K }$ ; confidence 0.987

36. c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987

37. p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987

38. a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987

39. a12016051.png ; $X ( t )$ ; confidence 0.987

40. h04797067.png ; $H ^ { n } ( G , K )$ ; confidence 0.987

41. a11016091.png ; $A x = \lambda x$ ; confidence 0.987

42. a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987

43. s085590379.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.987

44. a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987

45. a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987

46. a01055031.png ; $g x = x$ ; confidence 0.987

47. t09290043.png ; $( G , B , N , S )$ ; confidence 0.987

48. a01121054.png ; $\alpha \geq 0$ ; confidence 0.986

49. a12017047.png ; $\Phi ( x )$ ; confidence 0.986

50. a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986

51. a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986

52. c11008039.png ; $f ^ { - 1 }$ ; confidence 0.986

53. n06690059.png ; $H ^ { 0 } ( G , A ) = H ^ { 0 } ( C ^ { * } ( G , A ) )$ ; confidence 0.986

54. a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986

55. n066900124.png ; $H ^ { 2 } ( G , A )$ ; confidence 0.986

56. a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986

57. a01097011.png ; $O M$ ; confidence 0.986

58. a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986

59. a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986

60. a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986

61. l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986

62. s085590482.png ; $( \frac { \partial F ( x , y , \lambda ) } { \partial x } , \frac { \partial F ( x , y , \lambda ) } { \partial y } )$ ; confidence 0.986

63. a01093033.png ; $\frac { \partial \omega } { \partial t } = \Delta \omega - 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.986

64. a130240415.png ; $f ( \Theta )$ ; confidence 0.986

65. a01022020.png ; $\epsilon > 0$ ; confidence 0.986

66. a01046011.png ; $1$ ; confidence 0.986

67. l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986

68. a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986

69. a12012024.png ; $7$ ; confidence 0.986

70. a11032019.png ; $z \rightarrow 0$ ; confidence 0.986

71. a011600249.png ; $L / K$ ; confidence 0.986

72. a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986

73. b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986

74. c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986

75. d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986

76. d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986

77. d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986

78. h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986

79. k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986

80. l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986

81. s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986

82. s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986

83. s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986

84. u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986

85. a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986

86. p07464037.png ; $B \rightarrow G$ ; confidence 0.986

87. d034120514.png ; $\prod _ { \alpha } F _ { \alpha }$ ; confidence 0.986

88. a011380124.png ; $( \mathfrak { A } \rightarrow \mathfrak { B } ) = 1$ ; confidence 0.986

89. a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986

90. a13004018.png ; $\varphi \in Fm$ ; confidence 0.986

91. a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986

92. a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986

93. q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986

94. i05235024.png ; $f ( x , y ) = a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.986

95. p07472041.png ; $\Gamma = \Gamma _ { \alpha , S }$ ; confidence 0.986

96. a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986

97. d03070097.png ; $( S , \delta )$ ; confidence 0.985

98. a01110020.png ; $\vec { a b } + \vec { b c } + \vec { c a } = \vec { 0 }$ ; confidence 0.985

99. a01080028.png ; $= B ( \Delta T ( Z , X ) , Y ) , \quad \Delta T = T - T$ ; confidence 0.985

100. a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985

101. a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985

102. a11049010.png ; $R _ { D } \subset L _ { 0 } ( X )$ ; confidence 0.985

103. a13008070.png ; $2 s = R - L$ ; confidence 0.985

104. h04797068.png ; $\mu = \Delta ^ { * }$ ; confidence 0.985

105. a01121027.png ; $x \rightarrow + \infty$ ; confidence 0.985

106. a1101606.png ; $( n \times n )$ ; confidence 0.985

107. r07764037.png ; $h ^ { 1 } ( O _ { Z } ) = 0$ ; confidence 0.985

108. a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985

109. a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985

110. a01022023.png ; $p = 1$ ; confidence 0.985

111. a011600156.png ; $A _ { m } / H _ { m }$ ; confidence 0.985

112. a011600149.png ; $\alpha \equiv 1$ ; confidence 0.985

113. a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985

114. c02372058.png ; $\Gamma = \{ z \in \overline { C } : | z | = 1 \}$ ; confidence 0.985

115. l05843089.png ; $\mathfrak { g } _ { \alpha } \neq 0$ ; confidence 0.985

116. h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985

117. m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985

118. a01020051.png ; $( R , \mu ]$ ; confidence 0.985

119. n0669009.png ; $C ^ { 2 }$ ; confidence 0.985

120. d034120321.png ; $\Lambda \equiv 0$ ; confidence 0.985

121. a130240545.png ; $2$ ; confidence 0.985

122. a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985

123. a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985

124. a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985

125. a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985

126. b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985

127. b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985

128. b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985

129. b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985

130. c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985

131. e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985

132. i13005080.png ; $s > - \infty$ ; confidence 0.985

133. k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985

134. l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985

135. m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985

136. m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985

137. m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985

138. o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985

139. o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985

140. p07235016.png ; $h > 1$ ; confidence 0.985

141. p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985

142. r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985

143. r0825605.png ; $V = 5$ ; confidence 0.985

144. s08696095.png ; $k \leq p \leq n$ ; confidence 0.985

145. w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985

146. a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985

147. a01146096.png ; $C _ { \tau } ( X ) \cap C ^ { 1 } ( X )$ ; confidence 0.985

148. a01093024.png ; $\Delta \omega = 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.985

149. a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985

150. h04769070.png ; $f$ ; confidence 0.985

151. a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985

152. a130240202.png ; $q \times m$ ; confidence 0.985

153. l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985

154. d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985

155. a011380178.png ; $\{ x + y , 1 , x \& y \}$ ; confidence 0.985

156. c02056028.png ; $\phi : G \rightarrow G ^ { \prime }$ ; confidence 0.985

157. d030700297.png ; $D ( A \times I )$ ; confidence 0.985

158. n06690015.png ; $\delta : C ^ { 1 } \rightarrow C ^ { 2 }$ ; confidence 0.985

159. a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985

160. s085590383.png ; $x _ { 0 } ^ { 5 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.985

161. a010820105.png ; $\alpha = G ( \alpha ^ { \prime } ) \phi$ ; confidence 0.985

162. a1300705.png ; $\sigma ( n ) < 2 n$ ; confidence 0.984

163. a110680209.png ; $n \geq 4$ ; confidence 0.984

164. n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984

165. h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984

166. n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984

167. a01058012.png ; $\frac { d \Omega ( x , t ) } { d x } = f _ { y } ( x , y ( x ) ) \Omega ( x , t )$ ; confidence 0.984

168. a130240342.png ; $Y , B , E$ ; confidence 0.984

169. a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984

170. f040820114.png ; $f ( Z )$ ; confidence 0.984

171. s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984

172. s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984

173. a01138019.png ; $x = 1$ ; confidence 0.984

174. a12012064.png ; $\lambda ^ { * } = \lambda ( x ^ { * } , y ^ { * } )$ ; confidence 0.984

175. a11040090.png ; $x ^ { * } \in X ^ { * }$ ; confidence 0.984

176. a01149060.png ; $P _ { k } ( x _ { 0 } ) = 0$ ; confidence 0.984

177. a01152012.png ; $G , V$ ; confidence 0.984

178. a011370131.png ; $C ( Y )$ ; confidence 0.984

179. e03530041.png ; $J _ { m } ( \lambda )$ ; confidence 0.984

180. a12022039.png ; $S < T$ ; confidence 0.984

181. a13004089.png ; $D$ ; confidence 0.984

182. a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984

183. a11040023.png ; $T ^ { * }$ ; confidence 0.984

184. a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984

185. c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984

186. c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984

187. c02312031.png ; $x g = \lambda x$ ; confidence 0.984

188. c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984

189. c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984

190. e13003029.png ; $K _ { \infty }$ ; confidence 0.984

191. i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984

192. i05156047.png ; $| t - \tau |$ ; confidence 0.984

193. i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984

194. i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984

195. m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984

196. m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984

197. n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984

198. o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984

199. s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984

200. t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984

201. a0109908.png ; $k = f ( s )$ ; confidence 0.984

202. a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984

203. a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984

204. a01174024.png ; $n \geq 2$ ; confidence 0.984

205. a01121086.png ; $w ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) w = 0$ ; confidence 0.984

206. a11030022.png ; $\Omega X$ ; confidence 0.984

207. a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984

208. a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984

209. a12010064.png ; $\int _ { \Omega } u \Delta u d x = \int _ { \partial \Omega } u \frac { \partial u } { \partial \eta } d \sigma - \int _ { \Omega } | \operatorname { grad } u | ^ { 2 } d x$ ; confidence 0.983

210. a01116035.png ; $( A )$ ; confidence 0.983

211. a01145090.png ; $l ( K - D ) > 0$ ; confidence 0.983

212. b01692064.png ; $2 ^ { n }$ ; confidence 0.983

213. a01082010.png ; $H ^ { F }$ ; confidence 0.983

214. a1300701.png ; $\sigma ( n )$ ; confidence 0.983

215. a01164065.png ; $H ^ { \prime } ( V , O _ { V } ( D + n H ) ) = 0$ ; confidence 0.983

216. a1201603.png ; $Z =$ ; confidence 0.983

217. a011380101.png ; $( ( x \sim ( y \rightarrow z ) ) \rightarrow ( x \& z ) )$ ; confidence 0.983

218. a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983

219. d034120557.png ; $f _ { i } : X \rightarrow \overline { R }$ ; confidence 0.983

220. a1201201.png ; $( m \times n )$ ; confidence 0.983

221. f040820140.png ; $( A )$ ; confidence 0.983

222. i05235072.png ; $A \cap L$ ; confidence 0.983

223. a11028043.png ; $n - 1$ ; confidence 0.983

224. b01615019.png ; $n = 6$ ; confidence 0.983

225. d031830167.png ; $\alpha \in U$ ; confidence 0.983

226. s085590647.png ; $y = y ( u , v )$ ; confidence 0.983

227. s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983

228. c02057067.png ; $H ^ { p } ( X , S ) = 0 , \quad p \geq 1$ ; confidence 0.983

229. m06211054.png ; $n \leq 5$ ; confidence 0.983

230. f04037019.png ; $H _ { c } ^ { k } ( X , F )$ ; confidence 0.983

231. a0114606.png ; $C ( X ) = \oplus _ { p } C ^ { p } ( X )$ ; confidence 0.983

232. t1200108.png ; $1 > 1$ ; confidence 0.983

233. a13024046.png ; $m \times s$ ; confidence 0.983

234. a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983

235. a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983

236. a014090219.png ; $L ( \Sigma )$ ; confidence 0.983

237. d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983

238. d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983

239. d03249024.png ; $s \in Z$ ; confidence 0.983

240. e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983

241. i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983

242. i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983

243. k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983

244. n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983

245. r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983

246. s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983

247. v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983

248. s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983

249. a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983

250. a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983

251. c02593022.png ; $( \phi ( g ) x , y ) = ( x , \psi ( g ^ { - 1 } ) y )$ ; confidence 0.983

252. h04601030.png ; $n \geq 6$ ; confidence 0.983

253. a11046020.png ; $F = ( \frac { \mu } { 4 \pi } ) B h v = ( \frac { \mu } { 4 \pi } ) ( \frac { B ^ { 2 } } { A } ) v ^ { 2 } = \rho v ^ { 2 } A = E A$ ; confidence 0.983

254. d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983

255. a12012016.png ; $x = A v \text { and } y = B v$ ; confidence 0.983

256. m06301089.png ; $F ( x _ { 1 } h _ { 1 } + \ldots + x _ { n } h _ { n } ) =$ ; confidence 0.983

257. a1201007.png ; $y ^ { \prime } ( t ) = - A y ( t )$ ; confidence 0.983

258. a01110073.png ; $f \rightarrow \phi$ ; confidence 0.983

259. d034120227.png ; $\Gamma ( X \backslash Y , O _ { X } )$ ; confidence 0.983

260. a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983

261. d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983

262. a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983

263. a12010038.png ; $\langle A x _ { 1 } - A x _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.983

264. a12002035.png ; $C E$ ; confidence 0.982

265. p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982

266. s13001052.png ; $M _ { K }$ ; confidence 0.982

267. d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982

268. a11041073.png ; $\psi : X \rightarrow Y = \psi ( X )$ ; confidence 0.982

269. c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982

270. a011300155.png ; $\Delta _ { i } ( 1 ) = \pm 1$ ; confidence 0.982

271. a11001092.png ; $A \delta x = r$ ; confidence 0.982

272. a01052016.png ; $11$ ; confidence 0.982

273. a1300107.png ; $A , B , C \in C$ ; confidence 0.982

274. s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982

275. a011480140.png ; $( x _ { 0 } )$ ; confidence 0.982

276. s085590462.png ; $D _ { \mu }$ ; confidence 0.982

277. a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982

278. a01149096.png ; $x - x 0$ ; confidence 0.982

279. l0586508.png ; $g \mapsto g ^ { - 1 }$ ; confidence 0.982

280. a01110026.png ; $a + 1$ ; confidence 0.982

281. a11042063.png ; $\square ^ { * }$ ; confidence 0.982

282. a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982

283. a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982

284. a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982

285. d12002050.png ; $( L )$ ; confidence 0.982

286. g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982

287. n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982

288. o13008035.png ; $C _ { \varphi }$ ; confidence 0.982

289. r081430150.png ; $g e = g$ ; confidence 0.982

290. r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982

291. s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982

292. t09367085.png ; $r < | w | < 1$ ; confidence 0.982

293. a1300704.png ; $\sigma ( n ) > 2 n$ ; confidence 0.982

294. a130180115.png ; $R \subseteq U \times U$ ; confidence 0.982

295. d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982

296. h047690118.png ; $n = 2 k - 1$ ; confidence 0.982

297. a12011031.png ; $T ( 1 , n ) = 2 ^ { n }$ ; confidence 0.982

298. r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982

299. a13008022.png ; $L < R$ ; confidence 0.982

300. q07631061.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } \otimes \mathfrak { g }$ ; confidence 0.982

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/9. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/9&oldid=43827
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