Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/5"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 5 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
+
1. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
+
2. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
+
3. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
+
4. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004038.png ; $\Gamma \subset T$ ; confidence 0.992
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040231.png ; $E ( \Gamma , \Delta ) = \{ \epsilon _ { i } ( \gamma , \delta ) : \gamma \approx \delta \in \Gamma \approx \Delta , i \in I \}$ ; confidence 0.992
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028023.png ; $\chi ( G ; k )$ ; confidence 0.992
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070108.png ; $\alpha \geq 2$ ; confidence 0.992
  
10. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017031.png ; $[ f ( X ) ] \equiv f ^ { + } ( X ) - f ^ { - } ( X )$ ; confidence 0.992
  
11. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008071.png ; $f \in L ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.992
  
12. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007092.png ; $- A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \| \leq$ ; confidence 0.992
  
13. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992
  
14. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210140.png ; $R ( z , w )$ ; confidence 0.991
  
15. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991
  
16. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004018.png ; $h ^ { 0 } ( A , L ) \neq 0$ ; confidence 0.991
  
17. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012022.png ; $0 < \rho < \infty$ ; confidence 0.991
  
18. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240361.png ; $H : \Theta = 0$ ; confidence 0.991
  
19. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004052.png ; $\lambda = [ L$ ; confidence 0.991
  
20. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010039.png ; $g = 1 , x , x ^ { 2 }$ ; confidence 0.991
  
21. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991
  
22. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022049.png ; $( L , P )$ ; confidence 0.991
  
24. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991
  
25. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064015.png ; $1$ ; confidence 0.991
  
27. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070100.png ; $< 2 m$ ; confidence 0.991
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
+
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
+
37. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
+
39. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025150/c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991
  
40. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
+
40. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
41. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
+
41. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
42. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
+
42. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
+
43. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991
  
44. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
+
44. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
45. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
+
45. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991
  
46. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
+
46. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
  
47. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
+
47. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
48. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
+
48. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
49. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
+
49. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
+
50. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
51. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
+
51. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
52. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
+
52. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
53. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984
+
53. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
+
54. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
  
55. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
+
55. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984
+
56. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984
+
57. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984
+
58. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984
+
59. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983
+
60. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
  
61. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
+
61. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
+
62. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
+
63. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240437.png ; $( p \times q )$ ; confidence 0.991
  
66. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018061.png ; $\phi ( s )$ ; confidence 0.991
  
68. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006031.png ; $\{ X _ { t } : t \in Z ^ { 1 } \}$ ; confidence 0.991
  
69. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040139.png ; $J ( C ) / E$ ; confidence 0.991
  
70. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008080.png ; $n = 3$ ; confidence 0.991
  
71. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991
  
72. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a1101102.png ; $V _ { T }$ ; confidence 0.991
  
73. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a0105204.png ; $( A + F _ { M } ) x = b + k _ { M }$ ; confidence 0.991
  
74. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007095.png ; $\alpha \geq 3$ ; confidence 0.991
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052031.png ; $g ( A )$ ; confidence 0.991
  
76. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022014.png ; $C _ { \pi } = \{ \pi ^ { - 1 } B : B \in B ( \pi H ) \}$ ; confidence 0.990
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240494.png ; $k = 1$ ; confidence 0.990
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067021.png ; $d x = f ( x , t ) d t + d w$ ; confidence 0.990
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002035.png ; $C E$ ; confidence 0.982
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010023.png ; $A : D ( A ) \subset X \rightarrow 2 ^ { X }$ ; confidence 0.990
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001092.png ; $A \delta x = r$ ; confidence 0.982
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012080.png ; $t \geq 0$ ; confidence 0.990
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016038.png ; $\lambda$ ; confidence 0.990
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037025.png ; $\{ X _ { k } ^ { + } : k \geq 1 \}$ ; confidence 0.990
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
+
87. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990
  
88. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
89. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
90. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
+
90. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
91. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
+
91. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
  
92. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
93. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
+
93. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
+
94. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
95. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
+
95. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
+
96. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982
+
97. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982
+
98. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981
+
99. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981
+
100. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010021.png ; $C ( X )$ ; confidence 0.981
+
101. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981
+
102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981
+
103. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055350/k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
+
104. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055610/k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981
+
105. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
+
106. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
+
107. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
+
108. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
+
109. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
110. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
+
110. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
  
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
+
111. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
+
112. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990
  
113. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
+
113. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
114. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
+
114. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004088.png ; $( 1 , d )$ ; confidence 0.990
  
116. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040147.png ; $\square \varphi \rightarrow \psi \in T$ ; confidence 0.990
  
117. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012017.png ; $\operatorname { lim } _ { x \rightarrow \infty } | \lambda _ { x } | = \infty$ ; confidence 0.990
  
118. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990
  
119. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013051.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , Y _ { n } )$ ; confidence 0.990
  
120. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990
  
121. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040119.png ; $F _ { 1 } + F _ { 2 }$ ; confidence 0.990
  
122. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990
  
123. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052047.png ; $2 ^ { m - 1 } < N \leq 2 ^ { m }$ ; confidence 0.990
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040329.png ; $E ( x , y )$ ; confidence 0.990
  
125. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
126. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a0106805.png ; $F ( z ) = \prod _ { i = 1 } ^ { k } f _ { i } ( z ) = \sum _ { n = 0 } ^ { \infty } r ( n ) z ^ { n }$ ; confidence 0.989
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006033.png ; $\frac { d u } { d t } + A u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.989
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980
+
131. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046054.png ; $\{ x + \xi h : | \xi | \leq 1 \}$ ; confidence 0.989
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031048.png ; $M ( K )$ ; confidence 0.989
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102209.png ; $f ( z + w _ { \nu } ) = f ( z )$ ; confidence 0.989
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
138. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
  
139. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
+
140. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
141. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
142. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
+
142. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
143. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
+
143. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
  
144. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
+
144. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
+
145. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989
  
146. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
+
146. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
  
147. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
+
147. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
  
148. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
+
148. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
149. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
+
149. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
  
150. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
+
150. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
151. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
+
151. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
  
152. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
+
152. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989
  
153. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
+
153. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110170/l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989
  
154. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
  
155. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
+
156. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050236.png ; $q > 1$ ; confidence 0.980
+
157. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980
+
158. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980
+
159. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980
+
160. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980
+
161. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028074.png ; $\omega ( H )$ ; confidence 0.989
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220116.png ; $( H , C , m )$ ; confidence 0.989
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052056.png ; $q > 0$ ; confidence 0.989
  
166. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024054.png ; $u _ { i } = \int _ { L } \phi _ { i }$ ; confidence 0.989
  
167. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988
  
168. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988
  
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988
  
170. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020024.png ; $\mathfrak { F } ( \mathfrak { D } , \mathfrak { A } )$ ; confidence 0.988
  
171. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310132.png ; $A ^ { \infty }$ ; confidence 0.988
  
172. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988
  
173. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008036.png ; $\operatorname { ln } ( f ( x ) / g ( x ; m , s ) )$ ; confidence 0.988
  
174. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
  
175. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988
  
176. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
  
177. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
+
179. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979
+
180. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024990/c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
+
181. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
+
182. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
  
183. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
+
183. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978
+
184. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
+
185. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
+
186. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
+
187. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
+
188. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
+
189. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988
  
190. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
+
190. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
191. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
+
192. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
  
193. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040511.png ; $\{ F / \Omega C : F \in C \}$ ; confidence 0.988
  
194. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007011.png ; $p = 2 ^ { n + 1 } - 1$ ; confidence 0.988
  
195. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988
  
196. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101802.png ; $n \geq 5$ ; confidence 0.988
  
197. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002010.png ; $\mu _ { n } = \mu \circ T ^ { - n }$ ; confidence 0.987
  
198. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240323.png ; $H : X _ { 3 } B = 0$ ; confidence 0.987
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012053.png ; $( x ^ { j } , y ^ { j } ) \in J$ ; confidence 0.987
  
200. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010048.png ; $R ( I + \lambda A = X$ ; confidence 0.987
  
201. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
+
201. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040176.png ; $\{ a , b \}$ ; confidence 0.977
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
+
209. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
+
210. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
+
211. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
+
212. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
  
213. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
+
213. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
  
214. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977
+
214. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
  
215. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
+
215. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
  
216. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
+
216. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
+
217. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
218. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
+
218. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
219. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
  
220. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
  
221. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
+
221. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
  
222. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
+
222. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977
+
223. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
224. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
+
224. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
+
225. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976
+
226. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
+
227. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
+
228. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987
  
230. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050210.png ; $G _ { K }$ ; confidence 0.987
  
231. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987
  
232. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016091.png ; $A x = \lambda x$ ; confidence 0.987
  
233. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987
  
234. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987
  
235. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987
  
236. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055031.png ; $g x = x$ ; confidence 0.987
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986
  
238. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986
  
239. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986
  
240. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986
  
243. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240415.png ; $f ( \Theta )$ ; confidence 0.986
  
244. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022020.png ; $\epsilon > 0$ ; confidence 0.986
  
245. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046011.png ; $1$ ; confidence 0.986
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004061.png ; $h ( \varphi )$ ; confidence 0.976
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005028.png ; $f \in C ( [ 0 , T ] ; D ( A ( 0 ) )$ ; confidence 0.975
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001039.png ; $k ( A ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \frac { 1 } { \epsilon } \frac { \| \delta x \| } { \| x \| }$ ; confidence 0.975
+
251. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008019.png ; $\omega ^ { 2 } = c ^ { 2 } ( \xi ^ { 2 } + \eta ^ { 2 } )$ ; confidence 0.975
+
252. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
+
253. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
  
254. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019046.png ; $X = R ^ { n }$ ; confidence 0.975
+
254. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
  
255. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
+
255. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
  
256. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
+
256. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
257. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160173.png ; $E$ ; confidence 0.975
+
257. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
  
258. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
+
258. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
  
259. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s09191051.png ; $\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.975
+
259. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010290.png ; $F ( A )$ ; confidence 0.975
+
260. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021021.png ; $( \omega , \pi ) = \int \int _ { S } \omega ^ { * } \overline { \pi }$ ; confidence 0.974
+
261. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974
+
262. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013043.png ; $F _ { j k }$ ; confidence 0.974
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986
  
264. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004018.png ; $\varphi \in Fm$ ; confidence 0.986
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986
  
267. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986
  
268. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986
  
269. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985
  
270. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985
  
271. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008070.png ; $2 s = R - L$ ; confidence 0.985
  
272. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101606.png ; $( n \times n )$ ; confidence 0.985
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040117.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { D } T )$ ; confidence 0.973
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043012.png ; $\xi ^ { * } ( t )$ ; confidence 0.973
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
280. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
281. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
282. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
283. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
283. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
  
284. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
284. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
  
285. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
+
285. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
  
286. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
286. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
  
287. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
+
287. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
  
288. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
288. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
  
289. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
  
290. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
290. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006016.png ; $\omega \mapsto ( \omega , \omega )$ ; confidence 0.973
+
291. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
  
292. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
292. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040223.png ; $K _ { A } = A / ( - 1 ) _ { A }$ ; confidence 0.972
+
293. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
  
294. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
294. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
  
295. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
295. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
  
296. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
296. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
297. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
  
298. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
298. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
299. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
299. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
  
300. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
300. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985

Revision as of 08:35, 6 September 2019

List

1. s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992

2. s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992

3. s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992

4. v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992

5. a13004038.png ; $\Gamma \subset T$ ; confidence 0.992

6. a130040231.png ; $E ( \Gamma , \Delta ) = \{ \epsilon _ { i } ( \gamma , \delta ) : \gamma \approx \delta \in \Gamma \approx \Delta , i \in I \}$ ; confidence 0.992

7. a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992

8. a11028023.png ; $\chi ( G ; k )$ ; confidence 0.992

9. a130070108.png ; $\alpha \geq 2$ ; confidence 0.992

10. a11017031.png ; $[ f ( X ) ] \equiv f ^ { + } ( X ) - f ^ { - } ( X )$ ; confidence 0.992

11. a12008071.png ; $f \in L ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.992

12. a12007092.png ; $- A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \| \leq$ ; confidence 0.992

13. a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992

14. a010210140.png ; $R ( z , w )$ ; confidence 0.991

15. a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991

16. a11004018.png ; $h ^ { 0 } ( A , L ) \neq 0$ ; confidence 0.991

17. a01012022.png ; $0 < \rho < \infty$ ; confidence 0.991

18. a130240361.png ; $H : \Theta = 0$ ; confidence 0.991

19. a11004052.png ; $\lambda = [ L$ ; confidence 0.991

20. a11010039.png ; $g = 1 , x , x ^ { 2 }$ ; confidence 0.991

21. a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991

22. a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991

23. a11022049.png ; $( L , P )$ ; confidence 0.991

24. a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991

25. a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991

26. a11064015.png ; $1$ ; confidence 0.991

27. a120070100.png ; $< 2 m$ ; confidence 0.991

28. a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991

29. a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991

30. a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991

31. a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991

32. a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991

33. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

34. a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991

35. a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991

36. b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991

37. b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991

38. c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991

39. c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991

40. c025350104.png ; $B \rightarrow H$ ; confidence 0.991

41. c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991

42. c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991

43. c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991

44. d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991

45. d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991

46. d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991

47. f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991

48. f130100140.png ; $G = T$ ; confidence 0.991

49. f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991

50. f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991

51. f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991

52. f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991

53. h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991

54. h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991

55. k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991

56. l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991

57. m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991

58. m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991

59. m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991

60. n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991

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

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

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

64. a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991

65. a130240437.png ; $( p \times q )$ ; confidence 0.991

66. a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991

67. a01018061.png ; $\phi ( s )$ ; confidence 0.991

68. a11006031.png ; $\{ X _ { t } : t \in Z ^ { 1 } \}$ ; confidence 0.991

69. a110040139.png ; $J ( C ) / E$ ; confidence 0.991

70. a13008080.png ; $n = 3$ ; confidence 0.991

71. a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991

72. a1101102.png ; $V _ { T }$ ; confidence 0.991

73. a0105204.png ; $( A + F _ { M } ) x = b + k _ { M }$ ; confidence 0.991

74. a13007095.png ; $\alpha \geq 3$ ; confidence 0.991

75. a01052031.png ; $g ( A )$ ; confidence 0.991

76. a11022014.png ; $C _ { \pi } = \{ \pi ^ { - 1 } B : B \in B ( \pi H ) \}$ ; confidence 0.990

77. a130240494.png ; $k = 1$ ; confidence 0.990

78. a01067021.png ; $d x = f ( x , t ) d t + d w$ ; confidence 0.990

79. a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990

80. a12010023.png ; $A : D ( A ) \subset X \rightarrow 2 ^ { X }$ ; confidence 0.990

81. a12012080.png ; $t \geq 0$ ; confidence 0.990

82. a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990

83. a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990

84. a11016038.png ; $\lambda$ ; confidence 0.990

85. a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

86. a11037025.png ; $\{ X _ { k } ^ { + } : k \geq 1 \}$ ; confidence 0.990

87. t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990

88. a01024055.png ; $L \subset F$ ; confidence 0.990

89. a1200203.png ; $A \subset Y$ ; confidence 0.990

90. b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990

91. b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990

92. b11042055.png ; $\mu \in R$ ; confidence 0.990

93. b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990

94. c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990

95. c02687095.png ; $D U$ ; confidence 0.990

96. d11022035.png ; $L y = g$ ; confidence 0.990

97. e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990

98. e11010022.png ; $o ( G )$ ; confidence 0.990

99. f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990

100. h046300124.png ; $P _ { n - k }$ ; confidence 0.990

101. h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990

102. i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990

103. k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990

104. k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990

105. k055840354.png ; $C = C ^ { * }$ ; confidence 0.990

106. l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990

107. m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990

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

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

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

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

112. s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990

113. t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990

114. w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990

115. a11004088.png ; $( 1 , d )$ ; confidence 0.990

116. a130040147.png ; $\square \varphi \rightarrow \psi \in T$ ; confidence 0.990

117. a01012017.png ; $\operatorname { lim } _ { x \rightarrow \infty } | \lambda _ { x } | = \infty$ ; confidence 0.990

118. a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990

119. a12013051.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , Y _ { n } )$ ; confidence 0.990

120. a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990

121. a110040119.png ; $F _ { 1 } + F _ { 2 }$ ; confidence 0.990

122. a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990

123. a01052047.png ; $2 ^ { m - 1 } < N \leq 2 ^ { m }$ ; confidence 0.990

124. a130040329.png ; $E ( x , y )$ ; confidence 0.990

125. a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

126. a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989

127. a0106805.png ; $F ( z ) = \prod _ { i = 1 } ^ { k } f _ { i } ( z ) = \sum _ { n = 0 } ^ { \infty } r ( n ) z ^ { n }$ ; confidence 0.989

128. a12006033.png ; $\frac { d u } { d t } + A u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.989

129. a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989

130. a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989

131. t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989

132. a01046054.png ; $\{ x + \xi h : | \xi | \leq 1 \}$ ; confidence 0.989

133. a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989

134. a12031048.png ; $M ( K )$ ; confidence 0.989

135. a0102209.png ; $f ( z + w _ { \nu } ) = f ( z )$ ; confidence 0.989

136. a110420143.png ; $1$ ; confidence 0.989

137. a130240396.png ; $M _ { H }$ ; confidence 0.989

138. a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989

139. a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989

140. b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989

141. c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989

142. c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989

143. c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989

144. e03653023.png ; $t h$ ; confidence 0.989

145. e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989

146. g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989

147. h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989

148. h04852064.png ; $| f | = 1$ ; confidence 0.989

149. i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989

150. i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989

151. i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989

152. k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989

153. l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989

154. m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989

155. m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989

156. m06380081.png ; $\sigma ( W )$ ; confidence 0.989

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

158. s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989

159. s08665020.png ; $i > 2 n - 1$ ; confidence 0.989

160. t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989

161. t09465038.png ; $\forall v \phi$ ; confidence 0.989

162. a11028074.png ; $\omega ( H )$ ; confidence 0.989

163. a110220116.png ; $( H , C , m )$ ; confidence 0.989

164. a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989

165. a01052056.png ; $q > 0$ ; confidence 0.989

166. a01024054.png ; $u _ { i } = \int _ { L } \phi _ { i }$ ; confidence 0.989

167. a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988

168. a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988

169. a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988

170. a01020024.png ; $\mathfrak { F } ( \mathfrak { D } , \mathfrak { A } )$ ; confidence 0.988

171. a120310132.png ; $A ^ { \infty }$ ; confidence 0.988

172. a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988

173. a13008036.png ; $\operatorname { ln } ( f ( x ) / g ( x ; m , s ) )$ ; confidence 0.988

174. a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988

175. a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988

176. a01294081.png ; $f \in F$ ; confidence 0.988

177. b01729088.png ; $A = R ( X )$ ; confidence 0.988

178. b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988

179. c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988

180. c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988

181. c11041077.png ; $B _ { 1 }$ ; confidence 0.988

182. d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988

183. f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988

184. g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988

185. h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988

186. i11008014.png ; $g \in E$ ; confidence 0.988

187. m063240221.png ; $E \in S ( R )$ ; confidence 0.988

188. m06400065.png ; $W ( N )$ ; confidence 0.988

189. n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988

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

191. s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988

192. s08780026.png ; $x + C$ ; confidence 0.988

193. a130040511.png ; $\{ F / \Omega C : F \in C \}$ ; confidence 0.988

194. a13007011.png ; $p = 2 ^ { n + 1 } - 1$ ; confidence 0.988

195. a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988

196. a0101802.png ; $n \geq 5$ ; confidence 0.988

197. a13002010.png ; $\mu _ { n } = \mu \circ T ^ { - n }$ ; confidence 0.987

198. a130240323.png ; $H : X _ { 3 } B = 0$ ; confidence 0.987

199. a12012053.png ; $( x ^ { j } , y ^ { j } ) \in J$ ; confidence 0.987

200. a12010048.png ; $R ( I + \lambda A = X$ ; confidence 0.987

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/5&oldid=43912