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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 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $$\beta \in L _ { q }$$ ; confidence 0.972
+
1. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
  
2. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $$\mathfrak { g } = C$$ ; confidence 0.510
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2. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510
  
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/p/p073/p073020/p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755
  
4. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $$V \cap L$$ ; confidence 0.905
+
4. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
  
5. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $$R \times D$$ ; confidence 0.945
+
5. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
  
6. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073100/p07310032.png ; $$\mu A = m > 0$$ ; confidence 1.000
+
6. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073100/p07310032.png ; $\mu A = m > 0$ ; confidence 1.000
  
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/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
  
8. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073280/p07328015.png ; $$2 \lambda$$ ; confidence 1.000
+
8. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073280/p07328015.png ; $2 \lambda$ ; confidence 1.000
  
9. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $$d S _ { n }$$ ; confidence 0.935
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
  
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/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
  
11. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p07334022.png ; $$/ t \rightarrow \lambda$$ ; confidence 0.669
+
11. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p07334022.png ; $/ t \rightarrow \lambda$ ; confidence 0.669
  
12. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $$M ^ { 0 }$$ ; confidence 0.312
+
12. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
  
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/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
  
14. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $$W = M + U$$ ; confidence 0.972
+
14. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
  
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/p/p073/p073530/p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226
  
16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370015.png ; $$f ( n ) \geq 0$$ ; confidence 1.000
+
16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370015.png ; $f ( n ) \geq 0$ ; confidence 1.000
  
17. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370045.png ; $$[ f _ { G } ]$$ ; confidence 0.256
+
17. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370045.png ; $[ f _ { G } ]$ ; confidence 0.256
  
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/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
  
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/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
  
20. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700127.png ; $$m / m ^ { 2 }$$ ; confidence 0.612
+
20. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700127.png ; $m / m ^ { 2 }$ ; confidence 0.612
  
21. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073740/p07374027.png ; $$( \xi ) _ { R }$$ ; confidence 0.672
+
21. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073740/p07374027.png ; $( \xi ) _ { R }$ ; confidence 0.672
  
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/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $$e ( \xi \otimes C )$$ ; confidence 0.997
+
23. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
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/p/p073/p073760/p0737605.png ; $\omega _ { \mathscr { A } } : X ( G ) \rightarrow T$ ; confidence 0.090
  
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/p/p073/p073830/p07383050.png ; $E \subset X = R ^ { \prime }$ ; confidence 0.250
  
26. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073840/p0738407.png ; $$A \supset B$$ ; confidence 0.432
+
26. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073840/p0738407.png ; $A \supset B$ ; confidence 0.432
  
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/p/p073/p073880/p0738804.png ; $x _ { 1 } = \ldots = x _ { n } = 0$ ; confidence 0.697
  
28. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $$A / N _ { f }$$ ; confidence 0.994
+
28. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
  
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/p/p073/p073960/p0739603.png ; $P ( x ) = a _ { 0 } + \alpha _ { 1 } x + \ldots + \alpha _ { n } x ^ { n }$ ; confidence 0.639
  
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/p/p073/p073980/p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748
  
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/p/p074/p074010/p07401048.png ; $O _ { 3 } = O _ { 6 } \cap O _ { 7 }$ ; confidence 0.673
  
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/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
  
33. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074070/p0740707.png ; $$\xi : F \rightarrow A$$ ; confidence 0.996
+
33. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074070/p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996
  
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/p/p074/p074100/p07410035.png ; $v _ { i } = \partial f / \partial t ^ { i }$ ; confidence 0.629
  
35. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140226.png ; $$\phi ^ { + } ( x )$$ ; confidence 0.999
+
35. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140226.png ; $\phi ^ { + } ( x )$ ; confidence 0.999
  
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/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
  
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/p074140/p074140120.png ; $p > n / 2$ ; confidence 0.999
  
38. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150271.png ; $$- \infty \leq y < \infty$$ ; confidence 0.999
+
38. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150271.png ; $- \infty \leq y < \infty$ ; confidence 0.999
  
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/p/p074/p074150/p07415079.png ; $\underline { \mathfrak { U } } \square _ { \phi } = - \overline { \mathfrak { U } } _ { \phi }$ ; confidence 0.680
  
40. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $$f \in C$$ ; confidence 0.990
+
40. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
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/p/p074/p074160/p07416038.png ; $\mu _ { 1 } = \mu _ { 2 } = \mu > 0$ ; confidence 1.000
  
42. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $$\rho = | y |$$ ; confidence 0.958
+
42. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
  
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/p/p074/p074530/p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456
  
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/p/p074/p074710/p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189
  
45. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $$P \rightarrow e$$ ; confidence 0.910
+
45. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
  
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/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
  
47. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469036.png ; $$G = G ^ { \prime }$$ ; confidence 1.000
+
47. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469036.png ; $G = G ^ { \prime }$ ; confidence 1.000
  
48. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $$\pi G ( x ) = b$$ ; confidence 0.845
+
48. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
  
49. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $$\Gamma _ { F }$$ ; confidence 0.663
+
49. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663
  
50. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $$\gamma \in G$$ ; confidence 0.994
+
50. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
  
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/p/p074/p074740/p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083
  
52. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $$q _ { i } R = 0$$ ; confidence 0.743
+
52. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743
  
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/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
  
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/p/p110/p110230/p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479
  
55. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $$x \in R ^ { + }$$ ; confidence 0.795
+
55. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
  
56. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $$E X _ { k } = a$$ ; confidence 0.520
+
56. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $E X _ { k } = a$ ; confidence 0.520
  
57. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $$DX _ { k } = \sigma ^ { 2 }$$ ; confidence 0.511
+
57. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511
  
58. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $$( K _ { i } / k )$$ ; confidence 0.490
+
58. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490
  
59. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075150/p07515035.png ; $$\alpha _ { 0 } \in A$$ ; confidence 0.998
+
59. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075150/p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998
  
60. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $$E _ { i j }$$ ; confidence 0.366
+
60. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
  
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/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
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/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
  
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/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
  
64. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $$d ( S )$$ ; confidence 0.993
+
64. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
  
65. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $$q IL$$ ; confidence 0.843
+
65. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
  
66. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $$P _ { n } ( R )$$ ; confidence 0.886
+
66. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
  
67. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $$P _ { s } ^ { l } ( k )$$ ; confidence 0.866
+
67. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
  
68. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $$X = \operatorname { Proj } ( R )$$ ; confidence 0.994
+
68. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
  
69. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $$\operatorname { Proj } ( R )$$ ; confidence 0.995
+
69. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
  
70. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $$F \subset G$$ ; confidence 0.978
+
70. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
  
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/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
  
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/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
  
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/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
  
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/p/p075/p075560/p075560136.png ; $P Q = P \times Q$ ; confidence 0.481
  
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/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
  
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/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
  
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/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
  
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/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
  
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/p/p075/p075660/p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458
  
80. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $$| \xi | \leq 1 / 2$$ ; confidence 0.995
+
80. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
  
81. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700100.png ; $$q ^ { 1 }$$ ; confidence 0.419
+
81. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700100.png ; $q ^ { 1 }$ ; confidence 0.419
  
82. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014049.png ; $$\gamma \in R$$ ; confidence 0.998
+
82. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014049.png ; $\gamma \in R$ ; confidence 0.998
  
83. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $$D \rightarrow \overline { D }$$ ; confidence 0.992
+
83. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
  
84. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $$a \vee b$$ ; confidence 0.827
+
84. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
  
85. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $$I$$ ; confidence 0.923
+
85. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
  
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/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
  
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/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
  
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/q/q076/q076080/q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687
  
89. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076090/q07609018.png ; $$( n = 4 )$$ ; confidence 1.000
+
89. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076090/q07609018.png ; $( n = 4 )$ ; confidence 1.000
  
90. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076190/q07619068.png ; $$\alpha = - 1 / 2$$ ; confidence 1.000
+
90. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076190/q07619068.png ; $\alpha = - 1 / 2$ ; confidence 1.000
  
91. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $$x \in E _ { + } ( s )$$ ; confidence 0.775
+
91. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
  
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/q/q076/q076310/q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998
  
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/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
  
94. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310117.png ; $$R ^ { 12 }$$ ; confidence 1.000
+
94. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310117.png ; $R ^ { 12 }$ ; confidence 1.000
  
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/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
  
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/q/q120/q120030/q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433
  
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/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
  
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/q/q076/q076500/q07650033.png ; $3 r ( L _ { 1 } \cap L _ { 2 } ) = 3 _ { r } ( L _ { 1 } ) + 3 r ( L _ { 2 } )$ ; confidence 0.248
  
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/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
  
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/q/q120/q120050/q12005052.png ; $H _ { k + 1 } y ^ { k } = s ^ { k }$ ; confidence 0.999
  
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/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
  
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/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
  
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/q/q076/q076470/q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627
  
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/q/q076/q076530/q07653094.png ; $\square ^ { 01 } S _ { 3 } ^ { 1 }$ ; confidence 0.621
  
105. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $$x ^ { 1 } = 0$$ ; confidence 0.991
+
105. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
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/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
  
107. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $$N _ { A }$$ ; confidence 0.730
+
107. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $N _ { A }$ ; confidence 0.730
  
108. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $$\omega _ { 1 } / \omega _ { 2 }$$ ; confidence 0.996
+
108. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996
  
109. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $$K > 1$$ ; confidence 0.997
+
109. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
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/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
  
111. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076670/q07667033.png ; $$R [ x ]$$ ; confidence 0.996
+
111. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076670/q07667033.png ; $R [ x ]$ ; confidence 0.996
  
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $$R _ { q ^ { 2 } }$$ ; confidence 0.811
+
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
  
113. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076770/q07677043.png ; $$X = x _ { 0 } + V$$ ; confidence 0.644
+
113. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076770/q07677043.png ; $X = x _ { 0 } + V$ ; confidence 0.644
  
114. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $$\alpha > a ^ { * }$$ ; confidence 0.575
+
114. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
  
115. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $$\nu _ { 1 } ^ { S }$$ ; confidence 0.641
+
115. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641
  
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/q/q076/q076800/q07680082.png ; $\{ \tau _ { j } ^ { e } \} \in G _ { I }$ ; confidence 0.146
  
117. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $$\leq \nu _ { i } ^ { s }$$ ; confidence 0.802
+
117. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
  
118. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $$T ^ { S }$$ ; confidence 0.805
+
118. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
  
119. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680094.png ; $$\tau _ { 0 } ^ { e ^ { 3 } }$$ ; confidence 0.252
+
119. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680094.png ; $\tau _ { 0 } ^ { e ^ { 3 } }$ ; confidence 0.252
  
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/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
  
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/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
  
122. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $$f ( \xi _ { T } ( t ) )$$ ; confidence 0.925
+
122. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
  
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/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
  
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/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
  
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/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
  
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/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
  
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/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
  
128. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840162.png ; $$P _ { k } ( x )$$ ; confidence 0.998
+
128. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998
  
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/q/q076/q076840/q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724
  
130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840293.png ; $$G _ { l }$$ ; confidence 0.639
+
130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840293.png ; $G _ { l }$ ; confidence 0.639
  
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/q/q076/q076840/q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601
  
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/q/q076/q076850/q07685043.png ; $E [ \tau _ { j } ^ { S } - \tau _ { j } ^ { \dot { e } } ] ^ { 2 + \gamma }$ ; confidence 0.250
  
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/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
  
134. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $$j$$ ; confidence 0.784
+
134. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
  
135. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $$k ( \pi )$$ ; confidence 0.988
+
135. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
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/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
  
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/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; 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/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
  
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/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
  
140. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $$T w | K v$$ ; confidence 0.987
+
140. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
141. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077250/r07725048.png ; $$( n - \mu _ { 1 } ) / 2$$ ; confidence 1.000
+
141. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077250/r07725048.png ; $( n - \mu _ { 1 } ) / 2$ ; confidence 1.000
  
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/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
  
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/r077/r077370/r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432
  
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/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
  
145. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $$u _ { 0 } = 1$$ ; confidence 0.716
+
145. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
  
146. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077510/r0775103.png ; $$T = T ( R )$$ ; confidence 1.000
+
146. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077510/r0775103.png ; $T = T ( R )$ ; confidence 1.000
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077590/r07759075.png ; $$R ( x )$$ ; confidence 1.000
+
147. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077590/r07759075.png ; $R ( x )$ ; confidence 1.000
  
148. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $$\delta _ { \phi }$$ ; confidence 0.541
+
148. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
  
149. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $$D _ { n - 2 }$$ ; confidence 0.996
+
149. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
  
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/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
  
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/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
  
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/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
  
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/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
  
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/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
  
155. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $$t _ { k } \in R$$ ; confidence 0.947
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
  
156. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $$U$$ ; confidence 0.987
+
156. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
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/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
  
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/r/r080/r080210/r08021055.png ; $F ( m ) = f _ { m } ( m )$ ; confidence 0.639
  
159. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021025.png ; $$f ( x ) = x + 1$$ ; confidence 1.000
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021025.png ; $f ( x ) = x + 1$ ; confidence 1.000
  
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/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
  
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/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
  
162. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $$\beta$$ ; confidence 0.566
+
162. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
  
163. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $$X = \| x _ { i } \|$$ ; confidence 0.794
+
163. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
  
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/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
  
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/r/r080/r080680/r08068010.png ; $x \frac { \operatorname { lim } _ { x \rightarrow D } u ( x ) = f ( y _ { 0 } ) } { x \in D }$ ; confidence 0.172
  
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/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
  
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/r/r080/r080740/r0807408.png ; $x _ { n m _ { n } } \rightarrow ( 0 )$ ; confidence 0.220
  
168. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $$e \omega ^ { r } f$$ ; confidence 0.300
+
168. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
  
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/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
  
170. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $$R _ { 0 } \subset F$$ ; confidence 0.991
+
170. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
171. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $$\{ \alpha _ { n } ^ { ( e ) } \}$$ ; confidence 0.972
+
171. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
  
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/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
  
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/r/r081/r081110/r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483
  
174. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111011.png ; $$p \leq \epsilon / 3$$ ; confidence 0.998
+
174. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998
  
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/r/r081/r081130/r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741
  
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/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
  
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/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
  
178. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $$t + \tau$$ ; confidence 0.811
+
178. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
  
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/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
180. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $$H ( t ) = E N$$ ; confidence 0.783
+
180. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
  
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/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
  
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/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
  
183. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $$s < s ^ { \prime }$$ ; confidence 0.967
+
183. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
  
184. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081420/r08142047.png ; $$\phi \in E ^ { \prime }$$ ; confidence 0.998
+
184. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081420/r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998
  
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/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
186. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $$e X$$ ; confidence 0.861
+
186. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
  
187. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $$g e = g$$ ; confidence 0.982
+
187. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
  
188. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $$E / E ^ { \prime }$$ ; confidence 0.807
+
188. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
  
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/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
  
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/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
  
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/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
  
192. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $$\oplus R ( S _ { n } )$$ ; confidence 0.905
+
192. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
  
193. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $$\| f \| = 0$$ ; confidence 0.996
+
193. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
  
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $$\{ \phi j ( z ) \}$$ ; confidence 0.543
+
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
  
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/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
  
196. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $$\psi d z$$ ; confidence 0.981
+
196. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
  
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/r/r081/r081560/r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396
  
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/r/r081/r081590/r08159047.png ; $A = \int _ { - \infty } ^ { \infty } \lambda d E _ { \lambda }$ ; confidence 1.000
  
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/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
  
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/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
  
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/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
  
202. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $$D _ { n }$$ ; confidence 0.956
+
202. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
  
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/r/r081/r081980/r08198090.png ; $\operatorname { ch } ( f _ { 1 } ( x ) ) = f * ( \operatorname { ch } ( x ) \operatorname { td } ( T _ { f } ) )$ ; confidence 0.130
  
204. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $$D \cup \gamma$$ ; confidence 0.997
+
204. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
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/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
  
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/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
  
207. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $$b \in \overline { C }$$ ; confidence 0.690
+
207. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
  
208. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $$AH _ { p }$$ ; confidence 0.775
+
208. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
  
209. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $$\partial \overline { R } _ { \nu }$$ ; confidence 0.821
+
209. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
  
210. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $$2 g - 1$$ ; confidence 0.999
+
210. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $2 g - 1$ ; confidence 0.999
  
211. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $$f ^ { \mu } | _ { K }$$ ; confidence 0.278
+
211. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
  
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/r/r082/r082070/r08207022.png ; $R _ { i l k } ^ { q } = - R _ { k l } ^ { q }$ ; confidence 0.210
  
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/r/r082/r082080/r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998
  
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/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
  
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/r/r082/r082130/r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737
  
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/r/r082/r082150/r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511
  
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/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
  
218. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216030.png ; $$n < 7$$ ; confidence 0.999
+
218. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216030.png ; $n < 7$ ; confidence 0.999
  
219. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $$N = 0$$ ; confidence 0.990
+
219. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
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/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
  
221. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $$\gamma _ { \xi } ( t )$$ ; confidence 0.995
+
221. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
  
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/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
  
223. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200111.png ; $$\gamma \geq \gamma _ { k }$$ ; confidence 0.999
+
223. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200111.png ; $\gamma \geq \gamma _ { k }$ ; confidence 0.999
  
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/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
  
225. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $$o = e K$$ ; confidence 0.327
+
225. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
  
226. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $$| x _ { i } | \leq 1$$ ; confidence 0.845
+
226. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
  
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/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
  
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/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
  
229. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $$\sigma ( R ) \backslash \lambda$$ ; confidence 0.997
+
229. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r0822904.png ; $$x + z < y + z$$ ; confidence 0.999
+
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r0822904.png ; $x + z < y + z$ ; confidence 0.999
  
231. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $$p _ { \alpha } = e$$ ; confidence 0.518
+
231. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518
  
232. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $$U : E \rightarrow M$$ ; confidence 0.994
+
232. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
  
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/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
  
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/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
  
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/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; 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/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
  
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/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
  
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/r/r082/r082450/r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731
  
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/r/r082/r082450/r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463
  
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/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
  
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/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
  
242. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002013.png ; $$J ( q ) ^ { T }$$ ; confidence 0.999
+
242. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002013.png ; $J ( q ) ^ { T }$ ; confidence 0.999
  
243. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256054.png ; $$19$$ ; confidence 1.000
+
243. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256054.png ; $19$ ; confidence 1.000
  
244. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256016.png ; $$1$$ ; confidence 0.430
+
244. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256016.png ; $1$ ; confidence 0.430
  
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $$V = 5$$ ; confidence 0.985
+
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
  
246. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256041.png ; $$300$$ ; confidence 0.440
+
246. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256041.png ; $300$ ; confidence 0.440
  
247. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $$j 2 ^ { - k - l }$$ ; confidence 0.858
+
247. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
  
248. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590243.png ; $$\lambda - \mu$$ ; confidence 1.000
+
248. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590243.png ; $\lambda - \mu$ ; confidence 1.000
  
249. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590135.png ; $$- 3$$ ; confidence 1.000
+
249. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r082590135.png ; $- 3$ ; confidence 1.000
  
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/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
  
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/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
  
252. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $$c ^ { m } ( \Omega )$$ ; confidence 0.773
+
252. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
  
253. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $$c ^ { \infty } ( \Omega ) ^ { N }$$ ; confidence 0.774
+
253. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
  
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/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
  
255. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082690/r08269033.png ; $$| \chi | < \pi$$ ; confidence 0.998
+
255. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082690/r08269033.png ; $| \chi | < \pi$ ; confidence 0.998
  
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/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
  
257. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $$D _ { n } X _ { 1 }$$ ; confidence 0.828
+
257. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
  
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/s/s083/s083000/s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497
  
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/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
  
260. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $$m _ { i } = 0$$ ; confidence 0.997
+
260. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
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/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
  
262. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $$g _ { t } ( u )$$ ; confidence 0.987
+
262. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
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/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
  
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/s/s110/s110040/s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531
  
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/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
  
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/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
  
267. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $$\phi _ { \mathscr { A } } ( . )$$ ; confidence 0.193
+
267. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
  
268. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $$d \in C$$ ; confidence 0.487
+
268. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $d \in C$ ; confidence 0.487
  
269. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338074.png ; $$\Phi ( r - b + c )$$ ; confidence 1.000
+
269. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338074.png ; $\Phi ( r - b + c )$ ; confidence 1.000
  
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/s/s130/s130070/s1300707.png ; $\phi ( f ( x ) ) = g ( x ) \phi ( x ) + h ( x )$ ; confidence 0.999
  
271. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $$\pi \Gamma$$ ; confidence 0.616
+
271. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\pi \Gamma$ ; confidence 0.616
  
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/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
  
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/s/s120/s120040/s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998
  
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/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
  
275. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004016.png ; $$| \lambda | = \Sigma _ { i } \lambda$$ ; confidence 0.682
+
275. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004016.png ; $| \lambda | = \Sigma _ { i } \lambda$ ; confidence 0.682
  
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/s120/s120050/s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476
  
277. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $$\operatorname { Ccm } ( G )$$ ; confidence 0.094
+
277. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094
  
278. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $$D ^ { - 1 } \in \pi$$ ; confidence 0.978
+
278. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
  
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/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
  
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/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
  
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/s/s085/s085210/s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450
  
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/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
  
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/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
  
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $$c b = c$$ ; confidence 0.994
+
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
  
285. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $$18$$ ; confidence 0.479
+
285. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $18$ ; confidence 0.479
  
286. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $$s _ { \alpha } \geq 1$$ ; confidence 0.984
+
286. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
  
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $$\operatorname { dim } K$$ ; confidence 0.982
+
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; 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/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
  
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/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
  
290. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $$X \rightarrow \Delta [ 0 ]$$ ; confidence 0.965
+
290. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
  
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/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
  
292. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $$x _ { i } \in \pi$$ ; confidence 0.507
+
292. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507
  
293. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $$| \sigma ^ { n } |$$ ; confidence 0.923
+
293. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
  
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/s/s085/s085580/s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440
  
295. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $$K = \nu - \nu$$ ; confidence 0.596
+
295. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
  
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/s/s085/s085580/s08558099.png ; $\psi ( t ) = a * ( t ) g ( t ) +$ ; confidence 0.645
  
297. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $$\| x \| = \rho$$ ; confidence 0.826
+
297. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
  
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/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
  
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/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
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/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

Revision as of 11:41, 1 September 2019

List

1. p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972

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

3. p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755

4. p07309030.png ; $V \cap L$ ; confidence 0.905

5. p07309060.png ; $R \times D$ ; confidence 0.945

6. p07310032.png ; $\mu A = m > 0$ ; confidence 1.000

7. p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958

8. p07328015.png ; $2 \lambda$ ; confidence 1.000

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

10. p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994

11. p07334022.png ; $/ t \rightarrow \lambda$ ; confidence 0.669

12. p07340055.png ; $M ^ { 0 }$ ; confidence 0.312

13. p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185

14. p07346048.png ; $W = M + U$ ; confidence 0.972

15. p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226

16. p07370015.png ; $f ( n ) \geq 0$ ; confidence 1.000

17. p07370045.png ; $[ f _ { G } ]$ ; confidence 0.256

18. p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868

19. p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970

20. p073700127.png ; $m / m ^ { 2 }$ ; confidence 0.612

21. p07374027.png ; $( \xi ) _ { R }$ ; confidence 0.672

22. p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998

23. p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997

24. p0737605.png ; $\omega _ { \mathscr { A } } : X ( G ) \rightarrow T$ ; confidence 0.090

25. p07383050.png ; $E \subset X = R ^ { \prime }$ ; confidence 0.250

26. p0738407.png ; $A \supset B$ ; confidence 0.432

27. p0738804.png ; $x _ { 1 } = \ldots = x _ { n } = 0$ ; confidence 0.697

28. p07393024.png ; $A / N _ { f }$ ; confidence 0.994

29. p0739603.png ; $P ( x ) = a _ { 0 } + \alpha _ { 1 } x + \ldots + \alpha _ { n } x ^ { n }$ ; confidence 0.639

30. p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748

31. p07401048.png ; $O _ { 3 } = O _ { 6 } \cap O _ { 7 }$ ; confidence 0.673

32. p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951

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

34. p07410035.png ; $v _ { i } = \partial f / \partial t ^ { i }$ ; confidence 0.629

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

36. p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990

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

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

39. p07415079.png ; $\underline { \mathfrak { U } } \square _ { \phi } = - \overline { \mathfrak { U } } _ { \phi }$ ; confidence 0.680

40. p074150292.png ; $f \in C$ ; confidence 0.990

41. p07416038.png ; $\mu _ { 1 } = \mu _ { 2 } = \mu > 0$ ; confidence 1.000

42. p07416055.png ; $\rho = | y |$ ; confidence 0.958

43. p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456

44. p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189

45. p074710106.png ; $P \rightarrow e$ ; confidence 0.910

46. 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

47. p07469036.png ; $G = G ^ { \prime }$ ; confidence 1.000

48. p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845

49. p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663

50. p07472076.png ; $\gamma \in G$ ; confidence 0.994

51. p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083

52. p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743

53. p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979

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

55. p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795

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

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

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

59. p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998

60. p07519074.png ; $E _ { i j }$ ; confidence 0.366

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

62. p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992

63. p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786

64. p07535038.png ; $d ( S )$ ; confidence 0.993

65. p07535017.png ; $q IL$ ; confidence 0.843

66. p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886

67. p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866

68. p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994

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

70. p07540018.png ; $F \subset G$ ; confidence 0.978

71. p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973

72. p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827

73. p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823

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

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

76. p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906

77. p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980

78. p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368

79. p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458

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

81. p075700100.png ; $q ^ { 1 }$ ; confidence 0.419

82. p13014049.png ; $\gamma \in R$ ; confidence 0.998

83. p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992

84. p0758301.png ; $a \vee b$ ; confidence 0.827

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

86. 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

87. q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802

88. q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687

89. q07609018.png ; $( n = 4 )$ ; confidence 1.000

90. q07619068.png ; $\alpha = - 1 / 2$ ; confidence 1.000

91. q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775

92. q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998

93. 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

94. q076310117.png ; $R ^ { 12 }$ ; confidence 1.000

95. q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955

96. q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433

97. q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809

98. q07650033.png ; $3 r ( L _ { 1 } \cap L _ { 2 } ) = 3 _ { r } ( L _ { 1 } ) + 3 r ( L _ { 2 } )$ ; confidence 0.248

99. q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975

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

101. q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943

102. q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970

103. q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627

104. q07653094.png ; $\square ^ { 01 } S _ { 3 } ^ { 1 }$ ; confidence 0.621

105. q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991

106. q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261

107. q07661012.png ; $N _ { A }$ ; confidence 0.730

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

109. q13004038.png ; $K > 1$ ; confidence 0.997

110. q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794

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

112. q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811

113. q07677043.png ; $X = x _ { 0 } + V$ ; confidence 0.644

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

115. q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641

116. q07680082.png ; $\{ \tau _ { j } ^ { e } \} \in G _ { I }$ ; confidence 0.146

117. q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802

118. q07680012.png ; $T ^ { S }$ ; confidence 0.805

119. q07680094.png ; $\tau _ { 0 } ^ { e ^ { 3 } }$ ; confidence 0.252

120. 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

121. 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

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

123. q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887

124. q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819

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

126. q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310

127. q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971

128. q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998

129. q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724

130. q076840293.png ; $G _ { l }$ ; confidence 0.639

131. q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601

132. q07685043.png ; $E [ \tau _ { j } ^ { S } - \tau _ { j } ^ { \dot { e } } ] ^ { 2 + \gamma }$ ; confidence 0.250

133. q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805

134. r110010322.png ; $j$ ; confidence 0.784

135. r110010167.png ; $k ( \pi )$ ; confidence 0.988

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

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

138. r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966

139. r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970

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

141. r07725048.png ; $( n - \mu _ { 1 } ) / 2$ ; confidence 1.000

142. r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840

143. r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432

144. 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

145. r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716

146. r0775103.png ; $T = T ( R )$ ; confidence 1.000

147. r07759075.png ; $R ( x )$ ; confidence 1.000

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

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

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

151. 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

152. r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918

153. r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969

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

155. r0801808.png ; $t _ { k } \in R$ ; confidence 0.947

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

157. r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191

158. r08021055.png ; $F ( m ) = f _ { m } ( m )$ ; confidence 0.639

159. r08021025.png ; $f ( x ) = x + 1$ ; confidence 1.000

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

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

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

163. r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794

164. r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979

165. r08068010.png ; $x \frac { \operatorname { lim } _ { x \rightarrow D } u ( x ) = f ( y _ { 0 } ) } { x \in D }$ ; confidence 0.172

166. r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992

167. r0807408.png ; $x _ { n m _ { n } } \rightarrow ( 0 )$ ; confidence 0.220

168. r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300

169. r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777

170. r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991

171. r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972

172. r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264

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

174. r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998

175. r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741

176. r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906

177. r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998

178. r08116074.png ; $t + \tau$ ; confidence 0.811

179. r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997

180. r08125011.png ; $H ( t ) = E N$ ; confidence 0.783

181. r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992

182. r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962

183. r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967

184. r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998

185. r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989

186. r08143081.png ; $e X$ ; confidence 0.861

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

188. r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807

189. r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990

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

191. r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974

192. r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905

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

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

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

196. r08155085.png ; $\psi d z$ ; confidence 0.981

197. r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396

198. r08159047.png ; $A = \int _ { - \infty } ^ { \infty } \lambda d E _ { \lambda }$ ; confidence 1.000

199. r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881

200. 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

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

202. r13010034.png ; $D _ { n }$ ; confidence 0.956

203. r08198090.png ; $\operatorname { ch } ( f _ { 1 } ( x ) ) = f * ( \operatorname { ch } ( x ) \operatorname { td } ( T _ { f } ) )$ ; confidence 0.130

204. r08199034.png ; $D \cup \gamma$ ; confidence 0.997

205. r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817

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

207. r08204062.png ; $b \in \overline { C }$ ; confidence 0.690

208. r082050121.png ; $AH _ { p }$ ; confidence 0.775

209. r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821

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

211. r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278

212. r08207022.png ; $R _ { i l k } ^ { q } = - R _ { k l } ^ { q }$ ; confidence 0.210

213. r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998

214. r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914

215. r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737

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

217. r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911

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

219. r08216057.png ; $N = 0$ ; confidence 0.990

220. r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291

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

222. r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979

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

224. r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993

225. r08221030.png ; $o = e K$ ; confidence 0.327

226. r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845

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

228. r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980

229. r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997

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

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

232. r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994

233. r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841

234. 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

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

236. r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991

237. r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898

238. r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731

239. r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463

240. r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332

241. r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941

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

243. r08256054.png ; $19$ ; confidence 1.000

244. r08256016.png ; $1$ ; confidence 0.430

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

246. r08256041.png ; $300$ ; confidence 0.440

247. r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858

248. r082590243.png ; $\lambda - \mu$ ; confidence 1.000

249. r082590135.png ; $- 3$ ; confidence 1.000

250. r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805

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

252. r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773

253. r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774

254. r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993

255. r08269033.png ; $| \chi | < \pi$ ; confidence 0.998

256. r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304

257. s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828

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

259. s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970

260. s08317053.png ; $m _ { i } = 0$ ; confidence 0.997

261. 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

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

263. s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941

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

265. s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978

266. s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822

267. s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193

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

269. s08338074.png ; $\Phi ( r - b + c )$ ; confidence 1.000

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

271. s120040125.png ; $\pi \Gamma$ ; confidence 0.616

272. s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882

273. s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998

274. s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977

275. s12004016.png ; $| \lambda | = \Sigma _ { i } \lambda$ ; confidence 0.682

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

277. s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094

278. s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978

279. s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992

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

281. s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450

282. s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814

283. s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889

284. s08530020.png ; $c b = c$ ; confidence 0.994

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

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

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

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

289. s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593

290. s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965

291. s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333

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

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

294. s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440

295. s085580113.png ; $K = \nu - \nu$ ; confidence 0.596

296. s08558099.png ; $\psi ( t ) = a * ( t ) g ( t ) +$ ; confidence 0.645

297. s085590585.png ; $\| x \| = \rho$ ; confidence 0.826

298. s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863

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

300. s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

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