Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/9"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 9 out of 14 with 300 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 9 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $d \Phi$ ; confidence 0.791
+
1. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
+
2. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
  
3. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790
+
6. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
  
7. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789
+
7. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
  
8. 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
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102207.png ; $C ^ { p }$ ; confidence 0.788
+
9. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420158.png ; $A _ { \theta }$ ; confidence 0.786
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
  
11. 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
+
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
  
12. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
+
12. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
  
13. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $\alpha < t < b$ ; confidence 0.786
+
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
  
14. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786
+
14. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
+
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
  
16. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840
  
17. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
+
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
  
18. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784
+
18. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
  
19. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
  
20. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
+
21. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
+
24. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
  
25. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
+
25. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
  
26. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783
+
26. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018049.png ; $B = 1$ ; confidence 0.783
+
27. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
  
29. 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
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420138.png ; $I \mapsto I$ ; confidence 0.782
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040144.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { S 5 } T )$ ; confidence 0.837
  
31. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782
+
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
  
32. 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
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
+
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
  
35. 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
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
+
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
  
37. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
+
37. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064550/m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
  
41. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
+
41. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
  
42. 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
+
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
  
43. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634090.png ; $x \in V _ { n }$ ; confidence 0.777
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
  
44. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777
+
45. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776
+
46. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
  
47. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057870/l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046038.png ; $D \subset C$ ; confidence 0.833
  
48. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024082.png ; $\partial L = a$ ; confidence 0.832
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776
+
49. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776
+
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
  
51. 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
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
  
52. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
  
53. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
+
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
  
54. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
  
55. 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
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046041.png ; $L \subset D$ ; confidence 0.831
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040252.png ; $A _ { c }$ ; confidence 0.774
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010070.png ; $K ( M )$ ; confidence 0.831
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
+
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
  
58. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
+
58. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
  
59. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058170/l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
  
60. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006027.png ; $A ; \in A$ ; confidence 0.829
  
61. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773
+
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
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
+
62. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
+
63. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771
+
64. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
  
65. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
+
65. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040174.png ; $p ^ { 3 }$ ; confidence 0.769
+
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
  
68. 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
+
68. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040262.png ; $3 A$ ; confidence 0.768
+
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
  
70. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
+
70. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
  
71. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055660/k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768
+
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
  
72. 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
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
  
73. 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
+
73. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103304.png ; $B _ { Y }$ ; confidence 0.766
+
74. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
  
75. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004044.png ; $( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$ ; confidence 0.766
+
75. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
  
76. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052370/i05237019.png ; $\operatorname { inh } ^ { - 1 } z = - i \operatorname { arcsin } i z$ ; confidence 0.766
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
  
77. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850131.png ; $u = \operatorname { tr } \Gamma ( u )$ ; confidence 0.766
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766
+
78. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058066.png ; $| A | = \int _ { R } | \alpha | 0$ ; confidence 0.765
+
79. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
  
80. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093860/t09386023.png ; $P ( S )$ ; confidence 0.765
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101808.png ; $\rho < | z _ { 0 } - b |$ ; confidence 0.764
+
81. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
  
82. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110290/c11029014.png ; $Q ( t ) : S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.764
+
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
  
83. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412032.png ; $\pi J ( s ) = \operatorname { sin } \pi s \int _ { r } ^ { \infty } \delta ^ { s - 1 } f ( - \delta ) d \delta + \frac { r ^ { s } } { 2 } \int _ { - \pi } ^ { \pi } e ^ { i \theta s } f ( r e ^ { i \theta } ) d \theta$ ; confidence 0.764
+
83. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
  
84. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180152.png ; $\gamma$ ; confidence 0.764
+
84. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
  
85. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
  
86. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001082.png ; $Z = S \nmid F _ { \tau }$ ; confidence 0.763
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022052.png ; $W ^ { T }$ ; confidence 0.822
  
87. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026044.png ; $1 \leq n \leq N$ ; confidence 0.763
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
  
88. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763
+
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
  
89. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086700/s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763
+
89. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
  
90. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001041.png ; $\{ \xi ^ { \alpha } , \eta ^ { \alpha } , \Phi ^ { \alpha } \} \alpha = 1,2,3$ ; confidence 0.761
+
90. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104205.png ; $\{ Y _ { N } \}$ ; confidence 0.760
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200605.png ; $\Omega = R ^ { m }$ ; confidence 0.820
  
92. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025420/c025420100.png ; $\neg \neg \exists x R \supset \exists x R$ ; confidence 0.760
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
  
93. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027480/c027480106.png ; $\Sigma _ { S }$ ; confidence 0.760
+
93. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
  
94. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
+
94. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240517.png ; $V _ { j j ^ { \prime } } = Z _ { 3 j } ^ { \prime } Z _ { 3 j }$ ; confidence 0.760
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022010.png ; $X = c 0$ ; confidence 0.759
+
96. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
  
97. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759
+
97. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210102.png ; $k = 1 , \ldots , g$ ; confidence 0.759
+
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
  
99. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e03623076.png ; $2 d \geq n$ ; confidence 0.758
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819
  
100. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $\nu _ { S }$ ; confidence 0.758
+
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
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $M \times N$ ; confidence 0.757
+
101. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
  
102. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757
+
102. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
  
103. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700010.png ; $( \lambda x M ) \in \Lambda$ ; confidence 0.756
+
103. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755
+
104. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
  
105. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014039.png ; $E _ { r } = S \cup T$ ; confidence 0.755
+
105. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
  
106. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073020/p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755
+
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
  
107. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085790/s08579085.png ; $\sum _ { l = 1 } ^ { \infty } \frac { \operatorname { ln } q + 1 } { q l }$ ; confidence 0.755
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004074.png ; $M$ ; confidence 0.754
+
108. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754
+
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
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754
+
110. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
  
111. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032480/d03248013.png ; $d ( I ^ { n } ) = n$ ; confidence 0.754
+
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
  
112. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $B = B _ { E }$ ; confidence 0.754
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
  
113. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940134.png ; $0 \leq \omega \leq \infty$ ; confidence 0.754
+
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
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040615.png ; $h = \operatorname { mng } s _ { P } , \mathfrak { N }$ ; confidence 0.754
+
114. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
  
115. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043040.png ; $m ( S ) ^ { 2 } > ( 2 k + 1 ) ( n - k ) + \frac { k ( k + 1 ) } { 2 } - \frac { 2 ^ { k } n ^ { 2 k + 1 } } { m ( 2 k ) ! \left( \begin{array} { l } { n } \\ { k } \end{array} \right) }$ ; confidence 0.753
+
115. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
  
116. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020198.png ; $k _ { \vartheta } ( z ) = \frac { 1 - | z | ^ { 2 } } { | z - e ^ { i \vartheta | ^ { 2 } } }$ ; confidence 0.753
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814
  
117. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782061.png ; $\alpha _ { 1 } = - 3$ ; confidence 0.753
+
117. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
  
118. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752
+
118. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
  
119. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175013.png ; $\overline { G } = G + \Gamma$ ; confidence 0.752
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005098.png ; $A ( . )$ ; confidence 0.813
  
120. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230103.png ; $- ( K _ { X } + B )$ ; confidence 0.752
+
120. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
  
121. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s09196011.png ; $\{ \pi ( i ) : \square i \in I _ { 0 } \}$ ; confidence 0.752
+
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
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102006.png ; $A ] [ B$ ; confidence 0.752
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210120.png ; $1$ ; confidence 0.751
+
123. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240101.png ; $x$ ; confidence 0.751
+
124. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
  
125. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751
+
125. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002017.png ; $\nu = \operatorname { lim } \sum _ { k = 0 } ^ { n - 1 } \frac { 1 } { n } \delta _ { T ^ { n } x }$ ; confidence 0.751
+
126. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022021.png ; $T$ ; confidence 0.750
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
  
128. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c02311056.png ; $A ^ { G } = \{ \alpha \in A : g \alpha = \alpha \text { for all } g \in G \}$ ; confidence 0.750
+
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
  
129. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
  
130. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024160/c02416048.png ; $O _ { A } = O _ { D } / J | _ { A }$ ; confidence 0.748
+
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
  
131. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002093.png ; $\Sigma \Omega X \rightarrow X$ ; confidence 0.748
+
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
  
132. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073980/p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029043.png ; $\overline { a } X$ ; confidence 0.747
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809
  
134. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016730/b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
  
135. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020140/c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747
+
135. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
  
136. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011059.png ; $2 i$ ; confidence 0.747
+
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
  
137. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074660/p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746
+
137. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240480.png ; $1 , \ldots , n _ { 1 }$ ; confidence 0.745
+
138. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042053.png ; $K _ { 0 } ( A )$ ; confidence 0.745
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
  
140. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040463.png ; $Fi _ { D } A$ ; confidence 0.809
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040525.png ; $FFi _ { D } A$ ; confidence 0.744
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808
  
142. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c02293015.png ; $u ( x ) = w ( x _ { n } ) \operatorname { exp } i ( x _ { 1 } \xi _ { 1 } + \ldots + x _ { n - 1 } \xi _ { n - 1 } )$ ; confidence 0.744
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020057.png ; $\mu$ ; confidence 0.744
+
143. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
  
144. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330250.png ; $U ^ { N }$ ; confidence 0.743
+
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
  
145. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
+
145. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
  
146. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
  
147. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011082.png ; $\Phi ( M ) \in Wh ( \pi _ { 1 } ( M ) )$ ; confidence 0.743
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040385.png ; $\Omega \cup F = \cup _ { F \in F } \Omega F$ ; confidence 0.806
  
148. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743
+
148. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200109.png ; $1$ ; confidence 0.742
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040311.png ; $\alpha , b , c , d \in A$ ; confidence 0.805
  
150. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022026.png ; $T _ { e } = j - 744$ ; confidence 0.742
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
  
152. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377067.png ; $\mathfrak { A } f$ ; confidence 0.742
+
152. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010103.png ; $A x - b | \leq \Delta A | x | + \Delta b$ ; confidence 0.741
+
153. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
  
154. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640030.png ; $2 - 2 g - l$ ; confidence 0.741
+
154. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
  
155. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m$ ; confidence 0.740
+
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
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240444.png ; $N$ ; confidence 0.740
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
  
158. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708019.png ; $y ( 0 ) = y ^ { \prime }$ ; confidence 0.740
+
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
  
159. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090180/s0901802.png ; $\square \ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } < \ldots$ ; confidence 0.740
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $I Y \subset O$ ; confidence 0.739
+
160. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
  
161. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210103.png ; $2 \pi i c$ ; confidence 0.802
  
162. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $S h$ ; confidence 0.739
+
162. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
  
163. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067900/n06790027.png ; $\alpha + b = b + \alpha$ ; confidence 0.739
+
163. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420169.png ; $K$ ; confidence 0.738
+
164. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $B$ ; confidence 0.738
+
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
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
+
166. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
  
167. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110030/e11003020.png ; $f ( x _ { 0 } ) < \operatorname { inf } _ { x \in X } f ( x ) + \epsilon$ ; confidence 0.738
+
167. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
  
168. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057640/l0576408.png ; $\alpha _ { 1 } + n h _ { 1 }$ ; confidence 0.738
+
168. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
  
169. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738
+
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
  
170. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o07007051.png ; $W _ { n } = X _ { ( n n ) } - X _ { ( n 1 ) }$ ; confidence 0.738
+
170. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042091.png ; $x \in G$ ; confidence 0.737
+
171. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
  
172. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
+
172. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
  
173. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
+
173. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
  
174. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082130/r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737
+
174. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
  
175. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736
+
175. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
  
176. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057180/l05718018.png ; $x g$ ; confidence 0.734
+
176. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
  
177. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734
+
177. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001040.png ; $\alpha = 1,2,3$ ; confidence 0.734
+
178. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002010.png ; $s ^ { 1 }$ ; confidence 0.733
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
  
180. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536090.png ; $\operatorname { Th } ( K _ { 1 } )$ ; confidence 0.733
+
180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
  
181. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
+
181. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240498.png ; $X _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733
+
182. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
  
183. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035530/e0355309.png ; $\int \int _ { \Omega } ( \frac { \partial u } { \partial x } \frac { \partial v } { \partial x } + \frac { \partial u } { \partial y } \frac { \partial v } { \partial y } ) d x d y = - \int _ { \Omega } f v d x d y$ ; confidence 0.732
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040298.png ; $A \in Q$ ; confidence 0.797
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024041.png ; $Y = X _ { 1 } B X _ { 2 } + E$ ; confidence 0.731
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
  
186. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003057.png ; $\varepsilon ^ { * } ( M A D ) = 1 / 2$ ; confidence 0.731
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
  
187. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064950/m06495010.png ; $V _ { 1 } = \emptyset$ ; confidence 0.731
+
187. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
  
188. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731
+
188. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
  
189. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $N _ { A }$ ; confidence 0.730
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
+
190. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
  
191. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250187.png ; $[ \sigma ] = [ \alpha _ { 1 } ^ { \alpha _ { 1 } } \ldots a _ { n } ^ { \alpha _ { n } } ]$ ; confidence 0.729
+
191. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022040.png ; $= R [ x _ { 1 } ( z _ { 1 } , \ldots , z _ { p } ) , \ldots , x _ { p } ( z _ { 1 } , \ldots , z _ { p } ) ]$ ; confidence 0.727
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727
+
193. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013070.png ; $( \tau _ { l } )$ ; confidence 0.726
+
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
  
195. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p07253081.png ; $d f ^ { j }$ ; confidence 0.726
+
195. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
  
196. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057720/l05772024.png ; $E ( \mu _ { n } / n )$ ; confidence 0.725
+
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
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
  
198. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017530/b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724
+
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
  
199. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024510/c0245107.png ; $P ( A | B ) = \frac { P ( A \cap B ) } { P ( B ) }$ ; confidence 0.724
+
199. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
  
200. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025065.png ; $M _ { 3 } ( R ^ { n } ) = \{$ ; confidence 0.724
+
200. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
  
201. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724
+
201. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300203.png ; $1$ ; confidence 0.724
+
202. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
  
203. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006014.png ; $x < \varrho y$ ; confidence 0.723
+
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
  
204. https://www.encyclopediaofmath.org/legacyimages/z/z110/z110010/z11001018.png ; $( f g f h )$ ; confidence 0.723
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104607.png ; $\delta f ( a , )$ ; confidence 0.793
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200404.png ; $x _ { 0 } \in X$ ; confidence 0.722
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
  
206. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018025.png ; $| \operatorname { arg } ( s - s _ { 0 } ) | \leq \theta < \pi / 2$ ; confidence 0.721
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018064.png ; $A _ { n }$ ; confidence 0.720
+
208. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $\gamma m$ ; confidence 0.719
+
209. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
  
210. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
  
211. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.719
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010037.png ; $T _ { N } ( g )$ ; confidence 0.793
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006011.png ; $P _ { A \otimes B }$ ; confidence 0.719
+
212. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
  
213. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721040.png ; $P ( x ) = \sum _ { j = 1 } ^ { \mu } L j ( x ) f ( x ^ { ( j ) } )$ ; confidence 0.718
+
213. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
  
214. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054250/j05425028.png ; $K ^ { * }$ ; confidence 0.718
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
  
215. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717
+
215. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
  
216. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465066.png ; $\in M$ ; confidence 0.717
+
216. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $d \Phi$ ; confidence 0.791
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040253.png ; $X _ { i }$ ; confidence 0.716
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301306.png ; $Q ^ { ( n ) } : = Q _ { 0 } z ^ { n } + Q _ { 1 } z ^ { n - 1 } \ldots Q _ { n }$ ; confidence 0.716
+
218. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790
  
219. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961011.png ; $\frac { d w _ { N } } { d t } = \frac { \partial w _ { N } } { \partial t } + \sum _ { i = 1 } ^ { N } ( \frac { \partial w _ { N } } { \partial r _ { i } } \frac { d r _ { i } } { d t } + \frac { \partial w _ { N } } { \partial p _ { i } } \frac { d p _ { i } } { d t } ) = 0$ ; confidence 0.716
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790
  
220. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820110.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) < x \sqrt { t } \} = \sqrt { \frac { 2 } { \pi } } \int _ { 0 } ^ { x / \sigma } e ^ { - u ^ { 2 } / 2 } d u$ ; confidence 0.716
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790
  
221. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042086.png ; $z \in G$ ; confidence 0.715
+
222. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789
  
223. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714
+
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
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s08652091.png ; $| T | _ { p }$ ; confidence 0.714
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102207.png ; $C ^ { p }$ ; confidence 0.788
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002036.png ; $8$ ; confidence 0.713
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050290.png ; $G ^ { \# } ( n ) > 0$ ; confidence 0.787
  
226. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002056.png ; $D x$ ; confidence 0.713
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420158.png ; $A _ { \theta }$ ; confidence 0.786
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021033.png ; $31$ ; confidence 0.712
+
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
  
228. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911046.png ; $\{ \phi _ { i } \} _ { i k }$ ; confidence 0.712
+
228. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
  
229. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110153.png ; $\alpha _ { 2 k + 1 } \in L ^ { 1 } ( \Phi )$ ; confidence 0.712
+
229. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $\alpha < t < b$ ; confidence 0.786
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022072.png ; $K _ { V V }$ ; confidence 0.711
+
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
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240349.png ; $23$ ; confidence 0.711
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040542.png ; $i < m$ ; confidence 0.786
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013091.png ; $L : = P _ { 0 } \frac { d } { d x } + P _ { 1 } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) \frac { d } { d x } + \left( \begin{array} { c c } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.711
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024039.png ; $p \times p$ ; confidence 0.711
+
233. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
  
234. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020131.png ; $= g ( \overline { u } _ { 1 } ) - \overline { q } = g ( \overline { u } _ { 1 } ) - v _ { M }$ ; confidence 0.711
+
234. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
  
235. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058770/l05877073.png ; $\operatorname { lm } A _ { * } = \mathfrak { g }$ ; confidence 0.711
+
235. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784
  
236. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708029.png ; $\left. \begin{array} { c } { B _ { n } ( y _ { n + 1 } ( 0 ) - y _ { n } ( 0 ) ) + B ( y _ { n } ( 0 ) ) = 0 } \\ { D _ { n } ( y _ { n + 1 } ( X ) - y _ { n } ( X ) ) + D ( y _ { n } ( X ) ) = 0 } \end{array} \right\}$ ; confidence 0.711
+
236. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
  
237. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710
+
237. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240362.png ; $22$ ; confidence 0.710
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015061.png ; $( \Delta ^ { \alpha } \xi ) ^ { \# } = \Delta ^ { - \overline { \alpha } } \xi ^ { \# }$ ; confidence 0.710
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
  
240. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.710
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010219.png ; $\| \delta A \|$ ; confidence 0.710
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024094.png ; $m$ ; confidence 0.709
+
242. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
  
243. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700094.png ; $\equiv \lambda x y \cdot x$ ; confidence 0.709
+
243. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783
  
244. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602026.png ; $\overline { D ^ { + } } = D ^ { + } \cup \Gamma$ ; confidence 0.709
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018049.png ; $B = 1$ ; confidence 0.783
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240233.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { r } d _ { i } z _ { i }$ ; confidence 0.709
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708
+
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
  
247. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420138.png ; $I \mapsto I$ ; confidence 0.782
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240366.png ; $M _ { H } = Z _ { 1 } ^ { \prime } Z _ { 1 }$ ; confidence 0.707
+
248. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001013.png ; $A \in R ^ { n \times n }$ ; confidence 0.707
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040752.png ; $\varphi _ { r } \in Fm _ { P }$ ; confidence 0.781
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021088.png ; $\omega _ { 1 }$ ; confidence 0.707
+
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
  
251. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e037040161.png ; $A = A _ { 0 } ^ { * }$ ; confidence 0.706
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010200.png ; $| \hat { \lambda } - \lambda _ { i } | = | \delta \lambda _ { i } |$ ; confidence 0.705
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
  
253. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641020.png ; $x \in b M$ ; confidence 0.705
+
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
  
254. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003046.png ; $T _ { E } : U \rightarrow U$ ; confidence 0.704
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031019.png ; $M _ { sa }$ ; confidence 0.704
+
255. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
  
256. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m062490165.png ; $\Lambda = \{ \omega : x _ { S } \in B \}$ ; confidence 0.703
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779
  
257. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001046.png ; $\lambda = \operatorname { dim } ( \delta ) - 1$ ; confidence 0.702
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050203.png ; $P$ ; confidence 0.779
  
258. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033160/d03316011.png ; $\sigma _ { i } ^ { z }$ ; confidence 0.702
+
258. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064550/m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778
  
259. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.702
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
  
260. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k0557001.png ; $\frac { \partial f } { \partial s } = - A _ { S } f$ ; confidence 0.702
+
260. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701
+
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
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004023.png ; $x _ { 0 }$ ; confidence 0.701
+
262. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634090.png ; $x \in V _ { n }$ ; confidence 0.777
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042092.png ; $x > 0$ ; confidence 0.700
+
263. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021094.png ; $k , b _ { k }$ ; confidence 0.700
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234035.png ; $a \in V$ ; confidence 0.699
+
265. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776
  
266. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058080/l0580808.png ; $B \subset X ^ { * }$ ; confidence 0.699
+
266. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057870/l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776
  
267. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002014.png ; $T ^ { + } = \cap _ { N > 0 } \sigma ( X _ { n } : n \geq N )$ ; confidence 0.699
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002051.png ; $m = 2 ^ { a }$ ; confidence 0.699
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024058.png ; $j = 1 , \ldots , J$ ; confidence 0.698
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776
  
270. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067400/n06740041.png ; $U$ ; confidence 0.698
+
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
  
271. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073880/p0738804.png ; $x _ { 1 } = \ldots = x _ { n } = 0$ ; confidence 0.697
+
271. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006017.png ; $P _ { A }$ ; confidence 0.697
+
272. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
  
273. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114035.png ; $s _ { n } \rightarrow s$ ; confidence 0.696
+
273. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
  
274. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096450/v09645016.png ; $+ \frac { 1 } { N ! } \int _ { t _ { 0 } } ^ { t } ( t - \tau ) ^ { N _ { r } ( N + 1 ) } ( \tau ) d \tau$ ; confidence 0.696
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010047.png ; $f \in L$ ; confidence 0.774
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104303.png ; $P \{ \xi ( t ) = i | \xi ( s ) = i \} = 1 \quad \text { for any } t \geq s$ ; confidence 0.695
+
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
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a0102109.png ; $P _ { 0 } \in S$ ; confidence 0.695
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040252.png ; $A _ { c }$ ; confidence 0.774
  
277. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001020.png ; $\operatorname { Sp } ( ( m + 1 ) / 4 )$ ; confidence 0.694
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
  
278. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507045.png ; $g = \sum g _ { \alpha \overline { \beta } } d z ^ { \alpha } \otimes d z \square ^ { \beta }$ ; confidence 0.694
+
278. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539043.png ; $L _ { i j } = L = ( \theta _ { i } , d _ { j } )$ ; confidence 0.694
+
279. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058170/l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040404.png ; $P _ { SD } K$ ; confidence 0.693
+
280. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
  
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010135.png ; $S ( p )$ ; confidence 0.693
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
  
283. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566078.png ; $/ N = T$ ; confidence 0.692
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
  
284. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040171.png ; $\varphi _ { L } : A \rightarrow A \subset P ^ { 3 }$ ; confidence 0.691
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046050.png ; $\tilde { D } = \{ \xi : x + \xi h \in D \}$ ; confidence 0.771
  
286. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430169.png ; $GL _ { 2 } ( R )$ ; confidence 0.691
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050156.png ; $| \alpha | = c ^ { \partial ( \alpha ) }$ ; confidence 0.770
  
287. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110240/s11024022.png ; $\lambda _ { m } ( t )$ ; confidence 0.691
+
287. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
  
288. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
+
288. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040466.png ; $D ( K )$ ; confidence 0.689
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040174.png ; $p ^ { 3 }$ ; confidence 0.769
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689
+
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
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040262.png ; $3 A$ ; confidence 0.768
  
292. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338044.png ; $x 0$ ; confidence 0.689
+
292. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
  
293. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090155.png ; $\overline { Q } _ { p }$ ; confidence 0.689
+
293. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055660/k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768
  
294. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688
+
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
  
295. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323048.png ; $H \rightarrow TOP$ ; confidence 0.688
+
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
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010239.png ; $r = A x - \hat { \lambda } x$ ; confidence 0.687
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040154.png ; $\varphi \equiv \psi ( \operatorname { mod } \tilde { \Omega } _ { S 5 } T )$ ; confidence 0.768
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c0254401.png ; $\int _ { \alpha } ^ { b } p ( t ) \operatorname { ln } | t - t _ { 0 } | d t = f ( t _ { 0 } ) + C$ ; confidence 0.687
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005045.png ; $x _ { 1 } , \ldots , \alpha _ { k } , \beta _ { 1 } , \ldots , \beta _ { k }$ ; confidence 0.767
  
298. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560048.png ; $u ^ { k } = u ^ { k - 1 } - \Delta \lambda _ { k } \phi ^ { \prime } ( u ^ { k - 1 } ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.687
+
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
  
299. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058030.png ; $| X$ ; confidence 0.687
+
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
  
300. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076080/q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103304.png ; $B _ { Y }$ ; confidence 0.766

Revision as of 17:47, 2 September 2019

List

1. j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843

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

3. a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843

4. a130240357.png ; $n - r \geq p$ ; confidence 0.843

5. a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842

6. i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842

7. i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842

8. a1202209.png ; $x | < e$ ; confidence 0.841

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

10. a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841

11. d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840

12. e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840

13. f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840

14. g12007022.png ; $m \equiv 4$ ; confidence 0.840

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

16. a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840

17. a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839

18. c020740328.png ; $e \in E$ ; confidence 0.839

19. a1300102.png ; $C$ ; confidence 0.838

20. a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838

21. m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838

22. a13024069.png ; $y _ { i j k }$ ; confidence 0.838

23. a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837

24. k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837

25. l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837

26. s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837

27. s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837

28. a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837

29. a130240168.png ; $\alpha , = 0$ ; confidence 0.837

30. a130040144.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { S 5 } T )$ ; confidence 0.837

31. a01012045.png ; $S _ { \alpha } = W _ { 1 } , \quad W _ { \alpha } = W _ { 1 } , \quad 0 \leq \alpha < \infty$ ; confidence 0.837

32. a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836

33. d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836

34. j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836

35. a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836

36. b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835

37. c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835

38. c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835

39. a130240429.png ; $\Theta$ ; confidence 0.834

40. a011650252.png ; $\forall x _ { k }$ ; confidence 0.834

41. e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834

42. f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834

43. a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833

44. b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833

45. d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833

46. m06259032.png ; $B = 0$ ; confidence 0.833

47. a01046038.png ; $D \subset C$ ; confidence 0.833

48. a01024082.png ; $\partial L = a$ ; confidence 0.832

49. b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832

50. w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832

51. a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831

52. d03225022.png ; $\partial M$ ; confidence 0.831

53. 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

54. s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831

55. a01046041.png ; $L \subset D$ ; confidence 0.831

56. a11010070.png ; $K ( M )$ ; confidence 0.831

57. c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830

58. s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830

59. a110010264.png ; $1 / m$ ; confidence 0.829

60. a11006027.png ; $A ; \in A$ ; confidence 0.829

61. 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

62. d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828

63. l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828

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

65. y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828

66. a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827

67. a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827

68. c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827

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

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

71. 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

72. c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826

73. o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826

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

75. h04793027.png ; $x = [ u ]$ ; confidence 0.825

76. a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825

77. a01012050.png ; $z | > 1$ ; confidence 0.823

78. e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823

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

80. a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822

81. b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822

82. m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822

83. m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822

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

85. a01018017.png ; $20,21,22$ ; confidence 0.822

86. a01022052.png ; $W ^ { T }$ ; confidence 0.822

87. a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821

88. g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821

89. l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821

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

91. a1200605.png ; $\Omega = R ^ { m }$ ; confidence 0.820

92. b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820

93. b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820

94. c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820

95. d130060103.png ; $Z \in X$ ; confidence 0.820

96. e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820

97. c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819

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

99. a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819

100. 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

101. c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818

102. d0338502.png ; $x \square ^ { j }$ ; confidence 0.818

103. i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817

104. l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817

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

106. a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817

107. a01243088.png ; $f$ ; confidence 0.816

108. b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816

109. a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815

110. s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815

111. a130040754.png ; $_ { R } , \mathfrak { M } ( r ) = \operatorname { mng } _ { P \cup R } , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815

112. a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814

113. a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814

114. n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814

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

116. a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814

117. f12009069.png ; $F \mu$ ; confidence 0.813

118. i05091079.png ; $Y _ { n k }$ ; confidence 0.813

119. a12005098.png ; $A ( . )$ ; confidence 0.813

120. p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812

121. 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

122. a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811

123. t12001035.png ; $SU ( 2 )$ ; confidence 0.811

124. m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811

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

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

127. a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810

128. a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810

129. a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810

130. i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810

131. a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810

132. a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809

133. a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809

134. a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809

135. b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809

136. d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809

137. d03154015.png ; $G r$ ; confidence 0.809

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

139. a11001069.png ; $b$ ; confidence 0.809

140. a130040463.png ; $Fi _ { D } A$ ; confidence 0.809

141. a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808

142. h047930299.png ; $Z / p$ ; confidence 0.808

143. s087280193.png ; $m = E X ( s )$ ; confidence 0.808

144. 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

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

146. a13024027.png ; $Y = X B + E$ ; confidence 0.807

147. a130040385.png ; $\Omega \cup F = \cup _ { F \in F } \Omega F$ ; confidence 0.806

148. n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806

149. a130040311.png ; $\alpha , b , c , d \in A$ ; confidence 0.805

150. a110680200.png ; $r$ ; confidence 0.805

151. a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805

152. d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805

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

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

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

156. 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

157. a13013016.png ; $8$ ; confidence 0.804

158. 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

159. a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804

160. c02104057.png ; $- u _ { 3 }$ ; confidence 0.803

161. a010210103.png ; $2 \pi i c$ ; confidence 0.802

162. e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802

163. l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802

164. p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802

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

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

167. l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801

168. p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801

169. a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800

170. c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800

171. c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800

172. f03838022.png ; $C _ { 0 }$ ; confidence 0.800

173. s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800

174. t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799

175. c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799

176. l058360142.png ; $P _ { 8 }$ ; confidence 0.799

177. n06731043.png ; $B O$ ; confidence 0.799

178. w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799

179. a130040799.png ; $D \in K$ ; confidence 0.799

180. t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798

181. c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798

182. g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798

183. h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798

184. a130040298.png ; $A \in Q$ ; confidence 0.797

185. a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797

186. b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797

187. d03249026.png ; $G$ ; confidence 0.797

188. y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797

189. a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797

190. b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796

191. m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796

192. a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795

193. l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795

194. m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795

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

196. s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795

197. a11001099.png ; $\delta b$ ; confidence 0.794

198. 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

199. d031830278.png ; $u \leq \theta u$ ; confidence 0.794

200. o0681907.png ; $T ( t ) x$ ; confidence 0.794

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

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

203. y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794

204. a0104607.png ; $\delta f ( a , )$ ; confidence 0.793

205. a130240474.png ; $X _ { 1 }$ ; confidence 0.793

206. a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793

207. a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793

208. c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793

209. h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793

210. a130240310.png ; $\eta i$ ; confidence 0.793

211. a11010037.png ; $T _ { N } ( g )$ ; confidence 0.793

212. g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792

213. t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792

214. a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791

215. h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791

216. t09326056.png ; $d \Phi$ ; confidence 0.791

217. a130240453.png ; $q = 1$ ; confidence 0.790

218. t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790

219. a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790

220. a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790

221. a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790

222. e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789

223. c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788

224. a0102207.png ; $C ^ { p }$ ; confidence 0.788

225. a130050290.png ; $G ^ { \# } ( n ) > 0$ ; confidence 0.787

226. a110420158.png ; $A _ { \theta }$ ; confidence 0.786

227. 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

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

229. s0902702.png ; $\alpha < t < b$ ; confidence 0.786

230. y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786

231. a130040542.png ; $i < m$ ; confidence 0.786

232. a130240490.png ; $X _ { 2 }$ ; confidence 0.785

233. b01539032.png ; $d ^ { x }$ ; confidence 0.785

234. b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784

235. d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784

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

237. s08755022.png ; $\alpha \leq p b$ ; confidence 0.784

238. a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783

239. a120310159.png ; $\Omega$ ; confidence 0.783

240. a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783

241. a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783

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

243. v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783

244. a01018049.png ; $B = 1$ ; confidence 0.783

245. a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782

246. t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782

247. a110420138.png ; $I \mapsto I$ ; confidence 0.782

248. t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782

249. a130040752.png ; $\varphi _ { r } \in Fm _ { P }$ ; confidence 0.781

250. i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781

251. a130240147.png ; $\mu$ ; confidence 0.780

252. a1203106.png ; $W ^ { * }$ ; confidence 0.779

253. a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779

254. a01178016.png ; $b a P$ ; confidence 0.779

255. t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779

256. a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779

257. a130050203.png ; $P$ ; confidence 0.779

258. m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778

259. a130240248.png ; $( q , n - r )$ ; confidence 0.777

260. b11061011.png ; $K ^ { * }$ ; confidence 0.777

261. f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777

262. n06634090.png ; $x \in V _ { n }$ ; confidence 0.777

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

264. a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777

265. c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776

266. l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776

267. m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776

268. a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776

269. a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776

270. c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775

271. i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775

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

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

274. a11010047.png ; $f \in L$ ; confidence 0.774

275. b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774

276. a110040252.png ; $A _ { c }$ ; confidence 0.774

277. a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774

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

279. l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773

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

281. s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773

282. a110420123.png ; $\pi$ ; confidence 0.772

283. a130240104.png ; $y _ { i }$ ; confidence 0.771

284. a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771

285. a01046050.png ; $\tilde { D } = \{ \xi : x + \xi h \in D \}$ ; confidence 0.771

286. a130050156.png ; $| \alpha | = c ^ { \partial ( \alpha ) }$ ; confidence 0.770

287. i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769

288. m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769

289. a110040174.png ; $p ^ { 3 }$ ; confidence 0.769

290. a11004062.png ; $A \ni \alpha \mapsto \{ \sigma \in H ^ { 0 } ( A , L ) : \sigma ( \alpha ) = 0 \} \subset H ^ { 0 } ( A , L )$ ; confidence 0.769

291. a130040262.png ; $3 A$ ; confidence 0.768

292. h04747031.png ; $F ^ { p }$ ; confidence 0.768

293. k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768

294. 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

295. v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768

296. a130040154.png ; $\varphi \equiv \psi ( \operatorname { mod } \tilde { \Omega } _ { S 5 } T )$ ; confidence 0.768

297. a12005045.png ; $x _ { 1 } , \ldots , \alpha _ { k } , \beta _ { 1 } , \ldots , \beta _ { k }$ ; confidence 0.767

298. a12006074.png ; $| \operatorname { Re } ( A ( t ) u , S ^ { 2 } u ) _ { X } | \leq \gamma \| S u \| _ { X } ^ { 2 }$ ; confidence 0.767

299. a12005053.png ; $| \frac { \partial } { \partial t } U ( t , s ) \| \leq \frac { C } { t - s } , \quad 0 \leq s < t \leq T$ ; confidence 0.766

300. a0103304.png ; $B _ { Y }$ ; confidence 0.766

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