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(AUTOMATIC EDIT of page 9 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 9 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(One intermediate revision by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460115.png ; $n \leq 2$ ; confidence 0.987
  
2. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848094.png ; $Y \mapsto X Y$ ; confidence 0.987
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
+
3. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103026.png ; $W _ { k } ( S , G )$ ; confidence 0.987
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040020.png ; $X ^ { \odot } = \{ x ^ { * } \in X ^ { * }$ ; confidence 0.987
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
  
6. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
  
7. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
9. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
11. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
12. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
  
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
13. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
  
14. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
14. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
  
15. https://www.encyclopediaofmath.org/legacyimages/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
+
15. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839
+
17. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
  
18. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
20. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
21. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
21. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
+
22. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837
+
23. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
  
24. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
24. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
  
25. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
25. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
26. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
  
27. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
27. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
+
28. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
+
29. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040144.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { S 5 } T )$ ; confidence 0.837
+
30. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012045.png ; $S _ { \alpha } = W _ { 1 } , \quad W _ { \alpha } = W _ { 1 } , \quad 0 \leq \alpha < \infty$ ; confidence 0.837
+
31. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836
+
32. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
  
33. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
33. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427035.png ; $H ( F _ { n } , J _ { 1 } )$ ; confidence 0.987
  
34. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050210.png ; $G _ { K }$ ; confidence 0.987
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
36. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987
  
38. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016051.png ; $X ( t )$ ; confidence 0.987
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
40. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797067.png ; $H ^ { n } ( G , K )$ ; confidence 0.987
  
41. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016091.png ; $A x = \lambda x$ ; confidence 0.987
  
42. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
43. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590379.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.987
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987
  
45. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987
  
46. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055031.png ; $g x = x$ ; confidence 0.987
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046038.png ; $D \subset C$ ; confidence 0.833
+
47. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t09290043.png ; $( G , B , N , S )$ ; confidence 0.987
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024082.png ; $\partial L = a$ ; confidence 0.832
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121054.png ; $\alpha \geq 0$ ; confidence 0.986
  
49. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017047.png ; $\Phi ( x )$ ; confidence 0.986
  
50. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986
  
52. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
52. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008039.png ; $f ^ { - 1 }$ ; confidence 0.986
  
53. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
53. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690059.png ; $H ^ { 0 } ( G , A ) = H ^ { 0 } ( C ^ { * } ( G , A ) )$ ; confidence 0.986
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046041.png ; $L \subset D$ ; confidence 0.831
+
55. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900124.png ; $H ^ { 2 } ( G , A )$ ; confidence 0.986
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010070.png ; $K ( M )$ ; confidence 0.831
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986
  
57. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a01097011.png ; $O M$ ; confidence 0.986
  
58. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006027.png ; $A ; \in A$ ; confidence 0.829
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
61. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986
  
62. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590482.png ; $( \frac { \partial F ( x , y , \lambda ) } { \partial x } , \frac { \partial F ( x , y , \lambda ) } { \partial y } )$ ; confidence 0.986
  
63. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093033.png ; $\frac { \partial \omega } { \partial t } = \Delta \omega - 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.986
  
64. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240415.png ; $f ( \Theta )$ ; confidence 0.986
  
65. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022020.png ; $\epsilon > 0$ ; confidence 0.986
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046011.png ; $1$ ; confidence 0.986
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827
+
67. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986
  
68. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
69. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
70. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
71. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
72. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
73. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
  
74. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
74. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
  
75. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
  
78. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
78. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
79. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
80. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
81. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
  
82. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
+
82. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
  
83. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
  
84. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
84. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022052.png ; $W ^ { T }$ ; confidence 0.822
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464037.png ; $B \rightarrow G$ ; confidence 0.986
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
+
87. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120514.png ; $\prod _ { \alpha } F _ { \alpha }$ ; confidence 0.986
  
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380124.png ; $( \mathfrak { A } \rightarrow \mathfrak { B } ) = 1$ ; confidence 0.986
  
89. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986
  
90. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004018.png ; $\varphi \in Fm$ ; confidence 0.986
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200605.png ; $\Omega = R ^ { m }$ ; confidence 0.820
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986
  
92. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986
  
93. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
93. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986
  
94. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
94. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235024.png ; $f ( x , y ) = a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.986
  
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
95. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472041.png ; $\Gamma = \Gamma _ { \alpha , S }$ ; confidence 0.986
  
96. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986
  
97. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
+
97. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070097.png ; $( S , \delta )$ ; confidence 0.985
  
98. 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
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110020.png ; $\vec { a b } + \vec { b c } + \vec { c a } = \vec { 0 }$ ; confidence 0.985
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080028.png ; $= B ( \Delta T ( Z , X ) , Y ) , \quad \Delta T = T - T$ ; confidence 0.985
  
100. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985
  
101. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985
  
102. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049010.png ; $R _ { D } \subset L _ { 0 } ( X )$ ; confidence 0.985
  
103. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008070.png ; $2 s = R - L$ ; confidence 0.985
  
104. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
+
104. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797068.png ; $\mu = \Delta ^ { * }$ ; confidence 0.985
  
105. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121027.png ; $x \rightarrow + \infty$ ; confidence 0.985
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101606.png ; $( n \times n )$ ; confidence 0.985
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764037.png ; $h ^ { 1 } ( O _ { Z } ) = 0$ ; confidence 0.985
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985
  
110. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040754.png ; $_ { R } , \mathfrak { M } ( r ) = \operatorname { mng } _ { P \cup R } , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600156.png ; $A _ { m } / H _ { m }$ ; confidence 0.985
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600149.png ; $\alpha \equiv 1$ ; confidence 0.985
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985
  
114. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372058.png ; $\Gamma = \{ z \in \overline { C } : | z | = 1 \}$ ; confidence 0.985
  
115. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l05843089.png ; $\mathfrak { g } _ { \alpha } \neq 0$ ; confidence 0.985
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985
  
117. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
+
117. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985
  
118. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005098.png ; $A ( . )$ ; confidence 0.813
+
119. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n0669009.png ; $C ^ { 2 }$ ; confidence 0.985
  
120. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120321.png ; $\Lambda \equiv 0$ ; confidence 0.985
  
121. 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
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
123. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
125. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
126. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
+
126. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
+
127. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
+
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
  
130. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810
+
131. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809
+
132. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809
+
133. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
+
134. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
  
135. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
135. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
  
136. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110040/d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809
+
136. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
  
137. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
+
137. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
  
138. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
+
138. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
+
139. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040463.png ; $Fi _ { D } A$ ; confidence 0.809
+
140. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808
+
141. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
+
142. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
  
143. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
+
143. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
  
144. 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
+
144. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
  
145. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
+
145. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040385.png ; $\Omega \cup F = \cup _ { F \in F } \Omega F$ ; confidence 0.806
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146096.png ; $C _ { \tau } ( X ) \cap C ^ { 1 } ( X )$ ; confidence 0.985
  
148. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093024.png ; $\Delta \omega = 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.985
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040311.png ; $\alpha , b , c , d \in A$ ; confidence 0.805
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769070.png ; $f$ ; confidence 0.985
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985
  
152. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
  
153. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
+
153. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985
  
154. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
+
154. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985
  
155. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380178.png ; $\{ x + y , 1 , x \& y \}$ ; confidence 0.985
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005049.png ; $\leq B \sum _ { i = 1 } ^ { k } ( t - s ) ^ { \alpha _ { i } } | \lambda | ^ { \beta _ { i } - 1 } , \lambda \in S _ { \theta _ { 0 } } \backslash \{ 0 \} , \quad 0 \leq s \leq t \leq T$ ; confidence 0.804
+
156. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020560/c02056028.png ; $\phi : G \rightarrow G ^ { \prime }$ ; confidence 0.985
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700297.png ; $D ( A \times I )$ ; confidence 0.985
  
158. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804
+
158. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690015.png ; $\delta : C ^ { 1 } \rightarrow C ^ { 2 }$ ; confidence 0.985
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985
  
160. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
+
160. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590383.png ; $x _ { 0 } ^ { 5 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.985
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210103.png ; $2 \pi i c$ ; confidence 0.802
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a010820105.png ; $\alpha = G ( \alpha ^ { \prime } ) \phi$ ; confidence 0.985
  
162. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300705.png ; $\sigma ( n ) < 2 n$ ; confidence 0.984
  
163. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680209.png ; $n \geq 4$ ; confidence 0.984
  
164. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
+
164. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984
  
165. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
+
165. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984
  
166. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
+
166. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984
  
167. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058012.png ; $\frac { d \Omega ( x , t ) } { d x } = f _ { y } ( x , y ( x ) ) \Omega ( x , t )$ ; confidence 0.984
  
168. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984
  
170. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
+
170. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820114.png ; $f ( Z )$ ; confidence 0.984
  
171. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
+
171. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984
  
172. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
+
172. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083020/s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984
  
173. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138019.png ; $x = 1$ ; confidence 0.984
  
174. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012064.png ; $\lambda ^ { * } = \lambda ( x ^ { * } , y ^ { * } )$ ; confidence 0.984
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040090.png ; $x ^ { * } \in X ^ { * }$ ; confidence 0.984
  
176. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149060.png ; $P _ { k } ( x _ { 0 } ) = 0$ ; confidence 0.984
  
177. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152012.png ; $G , V$ ; confidence 0.984
  
178. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370131.png ; $C ( Y )$ ; confidence 0.984
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
+
179. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035300/e03530041.png ; $J _ { m } ( \lambda )$ ; confidence 0.984
  
180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
  
181. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
  
182. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
  
183. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040298.png ; $A \in Q$ ; confidence 0.797
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
+
186. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
  
187. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
  
188. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
  
190. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
  
191. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
+
191. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
+
192. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
  
193. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
+
193. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
  
194. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795
+
194. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
  
195. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
+
195. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
  
196. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
+
196. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
+
197. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
+
198. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984
  
199. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
+
199. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
  
200. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
  
201. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a0109908.png ; $k = f ( s )$ ; confidence 0.984
  
202. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984
  
203. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104607.png ; $\delta f ( a , )$ ; confidence 0.793
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174024.png ; $n \geq 2$ ; confidence 0.984
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121086.png ; $w ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) w = 0$ ; confidence 0.984
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030022.png ; $\Omega X$ ; confidence 0.984
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984
  
208. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984
  
209. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010064.png ; $\int _ { \Omega } u \Delta u d x = \int _ { \partial \Omega } u \frac { \partial u } { \partial \eta } d \sigma - \int _ { \Omega } | \operatorname { grad } u | ^ { 2 } d x$ ; confidence 0.983
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116035.png ; $( A )$ ; confidence 0.983
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010037.png ; $T _ { N } ( g )$ ; confidence 0.793
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145090.png ; $l ( K - D ) > 0$ ; confidence 0.983
  
212. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692064.png ; $2 ^ { n }$ ; confidence 0.983
  
213. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082010.png ; $H ^ { F }$ ; confidence 0.983
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300701.png ; $\sigma ( n )$ ; confidence 0.983
  
215. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164065.png ; $H ^ { \prime } ( V , O _ { V } ( D + n H ) ) = 0$ ; confidence 0.983
  
216. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $d \Phi$ ; confidence 0.791
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a1201603.png ; $Z =$ ; confidence 0.983
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380101.png ; $( ( x \sim ( y \rightarrow z ) ) \rightarrow ( x \& z ) )$ ; confidence 0.983
  
218. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120557.png ; $f _ { i } : X \rightarrow \overline { R }$ ; confidence 0.983
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201201.png ; $( m \times n )$ ; confidence 0.983
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790
+
221. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820140.png ; $( A )$ ; confidence 0.983
  
222. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235072.png ; $A \cap L$ ; confidence 0.983
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025640/c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028043.png ; $n - 1$ ; confidence 0.983
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102207.png ; $C ^ { p }$ ; confidence 0.788
+
224. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615019.png ; $n = 6$ ; confidence 0.983
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050290.png ; $G ^ { \# } ( n ) > 0$ ; confidence 0.787
+
225. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830167.png ; $\alpha \in U$ ; confidence 0.983
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420158.png ; $A _ { \theta }$ ; confidence 0.786
+
226. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590647.png ; $y = y ( u , v )$ ; confidence 0.983
  
227. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d0316809.png ; $\Delta ^ { m } y _ { n } = \sum _ { k = 0 } ^ { m } ( - 1 ) ^ { m - k } \left( \begin{array} { c } { m } \\ { k } \end{array} \right) y _ { n + k }$ ; confidence 0.786
+
227. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983
  
228. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
+
228. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057067.png ; $H ^ { p } ( X , S ) = 0 , \quad p \geq 1$ ; confidence 0.983
  
229. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $\alpha < t < b$ ; confidence 0.786
+
229. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062110/m06211054.png ; $n \leq 5$ ; confidence 0.983
  
230. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037019.png ; $H _ { c } ^ { k } ( X , F )$ ; confidence 0.983
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040542.png ; $i < m$ ; confidence 0.786
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114606.png ; $C ( X ) = \oplus _ { p } C ^ { p } ( X )$ ; confidence 0.983
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
+
232. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
  
233. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
  
235. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
  
236. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
  
237. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
+
237. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
+
238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
+
240. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
+
241. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
  
242. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
+
242. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
  
243. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783
+
243. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018049.png ; $B = 1$ ; confidence 0.783
+
244. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782
+
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420138.png ; $I \mapsto I$ ; confidence 0.782
+
247. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
  
248. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040752.png ; $\varphi _ { r } \in Fm _ { P }$ ; confidence 0.781
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983
  
250. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593022.png ; $( \phi ( g ) x , y ) = ( x , \psi ( g ^ { - 1 } ) y )$ ; confidence 0.983
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
+
252. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601030.png ; $n \geq 6$ ; confidence 0.983
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046020.png ; $F = ( \frac { \mu } { 4 \pi } ) B h v = ( \frac { \mu } { 4 \pi } ) ( \frac { B ^ { 2 } } { A } ) v ^ { 2 } = \rho v ^ { 2 } A = E A$ ; confidence 0.983
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
+
254. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983
  
255. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012016.png ; $x = A v \text { and } y = B v$ ; confidence 0.983
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301089.png ; $F ( x _ { 1 } h _ { 1 } + \ldots + x _ { n } h _ { n } ) =$ ; confidence 0.983
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050203.png ; $P$ ; confidence 0.779
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201007.png ; $y ^ { \prime } ( t ) = - A y ( t )$ ; confidence 0.983
  
258. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064550/m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110073.png ; $f \rightarrow \phi$ ; confidence 0.983
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120227.png ; $\Gamma ( X \backslash Y , O _ { X } )$ ; confidence 0.983
  
260. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983
  
261. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983
  
262. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634090.png ; $x \in V _ { n }$ ; confidence 0.777
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983
  
263. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010038.png ; $\langle A x _ { 1 } - A x _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.983
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002035.png ; $C E$ ; confidence 0.982
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776
+
265. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982
  
266. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057870/l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776
+
266. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001052.png ; $M _ { K }$ ; confidence 0.982
  
267. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041073.png ; $\psi : X \rightarrow Y = \psi ( X )$ ; confidence 0.982
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776
+
269. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982
  
270. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300155.png ; $\Delta _ { i } ( 1 ) = \pm 1$ ; confidence 0.982
  
271. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001092.png ; $A \delta x = r$ ; confidence 0.982
  
272. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052016.png ; $11$ ; confidence 0.982
  
273. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010047.png ; $f \in L$ ; confidence 0.774
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982
  
275. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480140.png ; $( x _ { 0 } )$ ; confidence 0.982
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040252.png ; $A _ { c }$ ; confidence 0.774
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590462.png ; $D _ { \mu }$ ; confidence 0.982
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982
  
278. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149096.png ; $x - x 0$ ; confidence 0.982
  
279. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058170/l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773
+
279. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058650/l0586508.png ; $g \mapsto g ^ { - 1 }$ ; confidence 0.982
  
280. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110026.png ; $a + 1$ ; confidence 0.982
  
281. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046050.png ; $\tilde { D } = \{ \xi : x + \xi h \in D \}$ ; confidence 0.771
+
285. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050156.png ; $| \alpha | = c ^ { \partial ( \alpha ) }$ ; confidence 0.770
+
286. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
  
287. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
+
287. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
  
288. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769
+
288. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040174.png ; $p ^ { 3 }$ ; confidence 0.769
+
289. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004062.png ; $A \ni \alpha \mapsto \{ \sigma \in H ^ { 0 } ( A , L ) : \sigma ( \alpha ) = 0 \} \subset H ^ { 0 } ( A , L )$ ; confidence 0.769
+
290. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040262.png ; $3 A$ ; confidence 0.768
+
291. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
  
292. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
  
293. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055660/k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300704.png ; $\sigma ( n ) > 2 n$ ; confidence 0.982
  
294. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002029.png ; $A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$ ; confidence 0.768
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180115.png ; $R \subseteq U \times U$ ; confidence 0.982
  
295. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768
+
295. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040154.png ; $\varphi \equiv \psi ( \operatorname { mod } \tilde { \Omega } _ { S 5 } T )$ ; confidence 0.768
+
296. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690118.png ; $n = 2 k - 1$ ; confidence 0.982
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005045.png ; $x _ { 1 } , \ldots , \alpha _ { k } , \beta _ { 1 } , \ldots , \beta _ { k }$ ; confidence 0.767
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011031.png ; $T ( 1 , n ) = 2 ^ { n }$ ; confidence 0.982
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006074.png ; $| \operatorname { Re } ( A ( t ) u , S ^ { 2 } u ) _ { X } | \leq \gamma \| S u \| _ { X } ^ { 2 }$ ; confidence 0.767
+
298. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005053.png ; $| \frac { \partial } { \partial t } U ( t , s ) \| \leq \frac { C } { t - s } , \quad 0 \leq s < t \leq T$ ; confidence 0.766
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008022.png ; $L < R$ ; confidence 0.982
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103304.png ; $B _ { Y }$ ; confidence 0.766
+
300. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631061.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } \otimes \mathfrak { g }$ ; confidence 0.982

Latest revision as of 09:58, 17 October 2019

List

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/9. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/9&oldid=43899