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(AUTOMATIC EDIT of page 4 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 4 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(5 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
+
1. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120413.png ; $( x , x ^ { \prime } ) = x ^ { \prime } ( x )$ ; confidence 0.998
  
2. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
+
2. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022530/c02253040.png ; $\pi _ { 1 } ( M )$ ; confidence 0.998
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
+
3. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120445.png ; $( F , \sigma ( F , G ) ) ^ { \prime }$ ; confidence 0.998
  
4. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012068.png ; $p ^ { * } > 0$ ; confidence 0.998
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016096.png ; $( A - \sigma I ) ^ { - 1 }$ ; confidence 0.998
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
+
6. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120493.png ; $X ^ { * } = ( X ^ { \prime } , \beta ( X ^ { \prime } , X ) )$ ; confidence 0.998
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016035.png ; $\frac { d A } { d t } = f ( u ) ( 1 - A ) - b A$ ; confidence 0.998
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013022.png ; $\phi ( x , t , z ) =$ ; confidence 0.998
  
9. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130083.png ; $( m - i ) \times ( m - i )$ ; confidence 0.998
  
10. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a01091018.png ; $m = 1$ ; confidence 0.998
  
11. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
+
11. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559034.png ; $z = \phi _ { 1 } ( t )$ ; confidence 0.998
  
12. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240217.png ; $\operatorname { dim } ( \omega ) = r - q$ ; confidence 0.998
  
13. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
+
13. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l0585902.png ; $\mu : ( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.998
  
14. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
+
14. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590470.png ; $F ( x , y , \lambda ) = ( x - \mu ) ( x ^ { 2 } + y ^ { 3 } + \lambda y ^ { 2 } - 6 \lambda x y )$ ; confidence 0.998
  
15. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150031.png ; $l ( D ) \geq \operatorname { deg } ( D ) - p + 1$ ; confidence 0.998
  
16. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081096.png ; $\int _ { t _ { 0 } } ^ { t _ { 1 } } \overline { y } ( t ) \xi ( t ) d t = 0$ ; confidence 0.998
  
17. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
+
17. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590104.png ; $L ( G / H ) \cong L ( G ) / L ( H )$ ; confidence 0.998
  
18. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
+
18. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524031.png ; $0 \leq x \leq n$ ; confidence 0.998
  
19. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082097.png ; $\alpha ( \beta ( X ) ) = X$ ; confidence 0.998
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022069.png ; $H = L _ { 2 } [ 0 , \infty )$ ; confidence 0.998
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
+
21. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120186.png ; $( F , \Omega )$ ; confidence 0.998
  
22. 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
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002047.png ; $q \equiv 3 ( \operatorname { mod } 4 )$ ; confidence 0.998
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014022.png ; $2 \leq n < \infty$ ; confidence 0.998
  
24. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160027.png ; $\frac { 1 } { x + y \sqrt { D } } = x - y \sqrt { D }$ ; confidence 0.998
  
25. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
+
25. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872099.png ; $L = L _ { k } / Z ( L _ { k } )$ ; confidence 0.998
  
26. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200204.png ; $f : A \rightarrow X$ ; confidence 0.998
  
27. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032033.png ; $R _ { 0 } ^ { ( s + 1 ) } ( z )$ ; confidence 0.998
  
28. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160014.png ; $O _ { K }$ ; confidence 0.998
  
29. 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
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008059.png ; $s = R - L$ ; confidence 0.998
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a0108405.png ; $( A x , y ) = ( x , A ^ { * } y )$ ; confidence 0.998
  
31. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114506.png ; $k ( x , y )$ ; confidence 0.998
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
+
32. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427018.png ; $C ( V , f )$ ; confidence 0.998
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a1102201.png ; $( X _ { t } ) _ { t \in T }$ ; confidence 0.998
  
34. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
+
34. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472082.png ; $\Gamma \times E \rightarrow E$ ; confidence 0.998
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012046.png ; $( 0 , y ) \in J$ ; confidence 0.998
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082050.png ; $\alpha ^ { \prime } : F ( X ) \rightarrow Y$ ; confidence 0.998
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
+
37. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064060/m06406040.png ; $G ( y )$ ; confidence 0.998
  
38. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
+
38. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410161.png ; $R ^ { G }$ ; confidence 0.998
  
39. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
+
39. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764057.png ; $A ^ { 3 }$ ; confidence 0.998
  
40. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160036.png ; $5 = ( 2 + \sqrt { - 1 } ) ( 2 - \sqrt { - 1 } )$ ; confidence 0.998
  
41. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
+
41. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868026.png ; $\Gamma ( G )$ ; confidence 0.998
  
42. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a1104609.png ; $T \equiv \frac { \mu B ^ { 2 } } { 4 \pi }$ ; confidence 0.998
  
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011021.png ; $A ( 4 , n )$ ; confidence 0.998
  
44. 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
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007063.png ; $- 1 / 25$ ; confidence 0.998
  
45. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055061.png ; $\partial X ^ { \prime \prime } = X \cup X ^ { \prime }$ ; confidence 0.998
  
46. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797060.png ; $\Delta : G \rightarrow G \times G$ ; confidence 0.998
  
47. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590142.png ; $B \times E \rightarrow B E$ ; confidence 0.998
  
48. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010067.png ; $f \in L ^ { 2 } ( \Omega )$ ; confidence 0.998
  
49. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
+
49. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020690/c02069021.png ; $80$ ; confidence 0.998
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
+
50. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103037.png ; $\Phi _ { k } ( G )$ ; confidence 0.998
  
51. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081042.png ; $L ^ { * } ( \psi ) = 0$ ; confidence 0.998
  
52. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220084.png ; $0 \leq t \leq 1$ ; confidence 0.998
  
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164088.png ; $b _ { 1 } ( V ) = 2 q ( V )$ ; confidence 0.998
  
54. 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
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046059.png ; $y = P ( x )$ ; confidence 0.998
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180141.png ; $( U )$ ; confidence 0.998
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068013.png ; $F ( z )$ ; confidence 0.998
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
+
57. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140124.png ; $R = K Q$ ; confidence 0.998
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
+
58. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925088.png ; $\operatorname { dim } ( 1 - t ) V = 1$ ; confidence 0.998
  
59. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086015.png ; $\phi \in M ^ { * }$ ; confidence 0.998
  
60. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046014.png ; $T \equiv \mu B ^ { 2 } / 4 \pi$ ; confidence 0.998
  
61. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
+
61. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557033.png ; $h ( X _ { 2 } ) = 1$ ; confidence 0.998
  
62. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559035.png ; $0 \leq t < \tau _ { 1 }$ ; confidence 0.998
  
63. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060029.png ; $p = - 1$ ; confidence 0.998
  
64. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
+
64. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797082.png ; $\pi ( G , K ) = \sum _ { i = 0 } ^ { \infty } \pi _ { i } ( G ) \otimes K$ ; confidence 0.998
  
65. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600147.png ; $( \alpha )$ ; confidence 0.998
  
66. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007018.png ; $945$ ; confidence 0.998
  
67. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
+
67. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590413.png ; $A = \pi ^ { - 1 } ( x )$ ; confidence 0.998
  
68. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068043.png ; $\theta _ { 2 } < 1$ ; confidence 0.998
  
69. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
+
69. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100191.png ; $p ( k )$ ; confidence 0.998
  
70. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
+
70. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070059.png ; $H ^ { 2 } ( X , \Theta ) = 0$ ; confidence 0.998
  
71. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
+
71. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696091.png ; $c ( \eta ) \neq 0$ ; confidence 0.998
  
72. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024079.png ; $( i , j , k )$ ; confidence 0.998
  
73. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031036.png ; $C ( E )$ ; confidence 0.998
  
74. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
+
74. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771052.png ; $W ( T _ { 0 } , G )$ ; confidence 0.998
  
75. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011019.png ; $A ( 2 , n ) = 2 n + 3$ ; confidence 0.998
  
76. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a01254013.png ; $G = 0$ ; confidence 0.998
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249018.png ; $d ( p ) \geq d ( q )$ ; confidence 0.998
  
78. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
+
78. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290148.png ; $\operatorname { dim } A = 1$ ; confidence 0.998
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160021.png ; $( 1 , \sqrt { D } )$ ; confidence 0.998
  
80. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170143.png ; $f : G \rightarrow V$ ; confidence 0.998
  
81. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830260.png ; $\partial _ { i } I \subset I$ ; confidence 0.998
  
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001083.png ; $A ^ { - 1 }$ ; confidence 0.998
  
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020074.png ; $Q ( \lambda ) = \operatorname { det } ( T - \lambda I )$ ; confidence 0.998
  
84. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490115.png ; $\tau = 1 / x$ ; confidence 0.998
  
85. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017050.png ; $\Psi ( x )$ ; confidence 0.998
  
86. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
+
86. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002015.png ; $F ( z ) = P ( e ^ { z } , e ^ { \beta z } )$ ; confidence 0.998
  
87. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068038.png ; $g ( A ) < \infty$ ; confidence 0.998
  
88. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
+
88. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476906.png ; $( g h ) x = g ( h x )$ ; confidence 0.998
  
89. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490148.png ; $k = 3,4$ ; confidence 0.998
  
90. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025017.png ; $\beta = \alpha \frac { E _ { 1 } } { R T _ { \infty } }$ ; confidence 0.998
  
91. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002016.png ; $\mu ( X \backslash A ) = 0$ ; confidence 0.998
  
92. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
+
92. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082077.png ; $\phi _ { F } : L \rightarrow A$ ; confidence 0.998
  
93. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070029.png ; $( b , c ) \in s$ ; confidence 0.998
  
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037042.png ; $X ( t ) - X ( s )$ ; confidence 0.998
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559048.png ; $z ^ { \prime } = \phi _ { 1 } ( \tau ^ { \prime } )$ ; confidence 0.998
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001072.png ; $\xi ( \tau ) = \tau _ { 1 } \xi ^ { 1 } + \tau _ { 2 } \xi ^ { 2 } + \tau _ { 3 } \xi ^ { 3 }$ ; confidence 0.998
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
+
97. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001078.png ; $1$ ; confidence 0.998
  
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420163.png ; $\theta = 1 - \theta$ ; confidence 0.998
  
99. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420118.png ; $H$ ; confidence 0.998
  
100. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042090.png ; $n > 0$ ; confidence 0.998
  
101. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420121.png ; $y \leq x$ ; confidence 0.998
  
102. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013097.png ; $L ( \psi ) = z \psi$ ; confidence 0.998
  
103. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022035.png ; $r ( S ) \leq r ( T )$ ; confidence 0.998
  
104. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998
  
105. 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
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040170.png ; $A$ ; confidence 0.998
  
106. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998
  
107. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200608.png ; $c ( x )$ ; confidence 0.998
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033016.png ; $N p$ ; confidence 0.998
  
109. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a11036013.png ; $n > 1$ ; confidence 0.998
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017016.png ; $b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$ ; confidence 0.998
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149058.png ; $D ( x _ { 0 } ) = 0$ ; confidence 0.998
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209097.png ; $Z ( A ) = A \cap Z ( R )$ ; confidence 0.998
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970244.png ; $L ( f )$ ; confidence 0.998
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a01301081.png ; $D ^ { 0 } f = f$ ; confidence 0.998
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180116.png ; $H _ { k + 1 } ( f ( M ) )$ ; confidence 0.998
  
116. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014300/a0143001.png ; $\epsilon - \delta$ ; confidence 0.998
  
117. 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
+
117. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001094.png ; $V ^ { * } - V$ ; confidence 0.998
  
118. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
+
118. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013099.png ; $m _ { 1 } \in M _ { 1 }$ ; confidence 0.998
  
119. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
+
119. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998
  
120. 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
+
120. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539024.png ; $\pi ( d \theta ) = \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.998
  
121. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
+
121. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037025.png ; $0 < \epsilon < i ( \theta _ { 0 } )$ ; confidence 0.998
  
122. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
+
122. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017580/b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998
  
123. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
+
123. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998
  
124. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
+
124. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998
  
125. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
+
125. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998
  
126. 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
+
126. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998
  
127. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
+
127. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890110.png ; $\psi = \psi ( s )$ ; confidence 0.998
  
128. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
+
128. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620209.png ; $B G$ ; confidence 0.998
  
129. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
+
129. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165011.png ; $t _ { k } \in R ^ { 1 }$ ; confidence 0.998
  
130. 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
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998
  
131. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
+
131. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660300.png ; $K ( f )$ ; confidence 0.998
  
132. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
+
132. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266075.png ; $\mu ( E ) = \mu _ { 1 } ( E ) = 0$ ; confidence 0.998
  
133. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
+
133. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780177.png ; $( n )$ ; confidence 0.998
  
134. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
+
134. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022920/c02292048.png ; $V _ { 3 }$ ; confidence 0.998
  
135. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583071.png ; $i B _ { 0 }$ ; confidence 0.998
  
136. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
+
136. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010417.png ; $\rho < 1$ ; confidence 0.998
  
137. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
+
137. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027170/c02717082.png ; $q = 59$ ; confidence 0.998
  
138. 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
+
138. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998
  
139. 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
+
139. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191048.png ; $x _ { 2 } ( t )$ ; confidence 0.998
  
140. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
+
140. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191051.png ; $x _ { 1 } ( t _ { 0 } ) = x _ { 2 } ( t _ { 0 } )$ ; confidence 0.998
  
141. 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
+
141. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192079.png ; $0 < l < n$ ; confidence 0.998
  
142. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
+
142. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201093.png ; $n - m$ ; confidence 0.998
  
143. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
+
143. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292042.png ; $\sigma > h$ ; confidence 0.998
  
144. 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
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372050.png ; $\gamma _ { k } < \sigma < 1$ ; confidence 0.998
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
+
145. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399055.png ; $y ^ { \prime } ( b ) + v ( b ) y ( b ) = \gamma ( b )$ ; confidence 0.998
  
146. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019046.png ; $X = R ^ { n }$ ; confidence 0.975
+
146. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e1300407.png ; $U _ { 0 } ( t )$ ; confidence 0.998
  
147. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
+
147. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026092.png ; $( L _ { \mu } ) ^ { p }$ ; confidence 0.998
  
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
+
148. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037160/e03716049.png ; $\Delta J =$ ; confidence 0.998
  
149. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160173.png ; $E$ ; confidence 0.975
+
149. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038130/f0381302.png ; $G _ { i } = V _ { i } ( E + \Delta - V _ { i } ) ^ { - 1 }$ ; confidence 0.998
  
150. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
+
150. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040190/f04019037.png ; $V ( x _ { 0 } )$ ; confidence 0.998
  
151. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s09191051.png ; $\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.975
+
151. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040330/f04033018.png ; $f ^ { - 1 } ( f ( x ) ) \cap U$ ; confidence 0.998
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013043.png ; $F _ { j k }$ ; confidence 0.974
+
152. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069087.png ; $\{ \xi _ { f } : f \in H \}$ ; confidence 0.998
  
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
153. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $K = D$ ; confidence 0.998
  
154. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
154. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998
  
155. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
+
155. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $d f ( X )$ ; confidence 0.998
  
156. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
+
156. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998
  
157. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
+
157. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998
  
158. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
+
158. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998
  
159. 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
+
159. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
160. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004046.png ; $\partial D \times D$ ; confidence 0.998
  
161. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
161. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054090/j05409038.png ; $x = B x + g$ ; confidence 0.998
  
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974
+
162. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054200/j05420048.png ; $f _ { 0 } ( \Delta )$ ; confidence 0.998
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
163. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040145.png ; $M ^ { ( 2 ) }$ ; confidence 0.998
  
164. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
164. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055040/k05504059.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 4 } + x _ { 2 } ^ { 4 } + x _ { 3 } ^ { 4 } = 0$ ; confidence 0.998
  
165. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
165. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019069.png ; $P = Q$ ; confidence 0.998
  
166. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
166. https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010135.png ; $p : X \rightarrow S$ ; confidence 0.998
  
167. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
167. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l0570007.png ; $( M N ) \in \Lambda$ ; confidence 0.998
  
168. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
168. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058210/l05821012.png ; $- \operatorname { log } | \zeta |$ ; confidence 0.998
  
169. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058210/l05821045.png ; $0 < r < \operatorname { tanh } \pi / 4$ ; confidence 0.998
  
170. 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
+
170. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998
  
171. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
171. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059170/l059170161.png ; $H ^ { k }$ ; confidence 0.998
  
172. 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
+
172. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935092.png ; $Y ( t ) = X ( t ) C$ ; confidence 0.998
  
173. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
173. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060190/l06019071.png ; $d ( A )$ ; confidence 0.998
  
174. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
174. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060250/l06025052.png ; $m = n = 1$ ; confidence 0.998
  
175. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
175. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m1200304.png ; $f _ { \theta } ( x )$ ; confidence 0.998
  
176. 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
+
176. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m06392082.png ; $n \geq 9$ ; confidence 0.998
  
177. 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
+
177. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690064.png ; $G \rightarrow A$ ; confidence 0.998
  
178. 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
+
178. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067760/n06776016.png ; $N ( A ^ { * } ) = \{ 0 \}$ ; confidence 0.998
  
179. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
179. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068350/o068350148.png ; $\phi \in D ( A )$ ; confidence 0.998
  
180. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
180. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072300/p0723004.png ; $F ( H )$ ; confidence 0.998
  
181. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
181. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p072830109.png ; $\sigma _ { i j } ( t )$ ; confidence 0.998
  
182. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
182. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998
  
183. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
183. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075150/p07515035.png ; $\alpha _ { 0 } \in A$ ; confidence 0.998
  
184. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
+
184. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014049.png ; $\gamma \in R$ ; confidence 0.998
  
185. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
+
185. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998
  
186. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972
+
186. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840162.png ; $P _ { k } ( x )$ ; confidence 0.998
  
187. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
+
187. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111011.png ; $p \leq \epsilon / 3$ ; confidence 0.998
  
188. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
+
188. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081150/r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998
  
189. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081420/r08142047.png ; $\phi \in E ^ { \prime }$ ; confidence 0.998
  
190. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
+
190. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082080/r08208036.png ; $- \infty \leq \lambda < \mu \leq \infty$ ; confidence 0.998
  
191. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
+
191. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082690/r08269033.png ; $| \chi | < \pi$ ; confidence 0.998
  
192. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
+
192. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004027.png ; $s _ { \lambda } = \sum _ { T } x ^ { T }$ ; confidence 0.998
  
193. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
+
193. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086360/s086360102.png ; $B ( r ) = \int _ { 0 } ^ { \infty } J _ { 0 } ( \lambda r ) d F ( \lambda )$ ; confidence 0.998
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971
+
194. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086380/s0863808.png ; $s _ { 1 } - t _ { 1 } = s _ { 2 } - t _ { 2 }$ ; confidence 0.998
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
+
195. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s1202804.png ; $\overline { f } : X \rightarrow Y$ ; confidence 0.998
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
196. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090088.png ; $\xi = \infty \in \partial D$ ; confidence 0.998
  
197. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
+
197. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005033.png ; $D _ { A } ^ { 2 } = 0$ ; confidence 0.998
  
198. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
+
198. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009023.png ; $f ^ { - 1 } ( S )$ ; confidence 0.998
  
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
+
199. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326078.png ; $d = 6$ ; confidence 0.998
  
200. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326038.png ; $( X ) \in M$ ; confidence 0.998
  
201. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
+
201. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200142.png ; $m > - 1$ ; confidence 0.998
  
202. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
+
202. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544020.png ; $U ( \epsilon )$ ; confidence 0.998
  
203. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
+
203. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020116.png ; $f ( z ) \in K$ ; confidence 0.998
  
204. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
+
204. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020147.png ; $( f ) \subseteq V ( f )$ ; confidence 0.998
  
205. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080124.png ; $T _ { 1 } \sim \Lambda$ ; confidence 0.998
  
206. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
+
206. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099030/y099030101.png ; $\pi _ { 1 } : P _ { 1 } \rightarrow S ^ { 4 }$ ; confidence 0.998
  
207. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055057.png ; $\phi : G \times X \rightarrow X$ ; confidence 0.998
  
208. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120248.png ; $| z | > \sigma$ ; confidence 0.998
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
+
209. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120328.png ; $F ( z ) \equiv 0$ ; confidence 0.998
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067025.png ; $d x = f ( x , t ) d t + g ( x , t ) d w$ ; confidence 0.998
  
211. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008032.png ; $R ( s ) \ll 1$ ; confidence 0.998
  
212. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011016.png ; $A ( 0 , n ) = n + 1$ ; confidence 0.998
  
213. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004021.png ; $\tau > 0$ ; confidence 0.998
  
214. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121064.png ; $y ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) y = 0$ ; confidence 0.998
  
215. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
+
215. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720146.png ; $p = 2,3,5$ ; confidence 0.998
  
216. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020020.png ; $q ( T ) \neq 0$ ; confidence 0.998
  
217. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033012.png ; $p = 1 / 100$ ; confidence 0.998
  
218. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
+
218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690117.png ; $U ( k )$ ; confidence 0.998
  
219. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008068.png ; $L ( H ^ { 1 } ( \Omega ) , L ^ { 2 } ( \Omega ) )$ ; confidence 0.998
  
220. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043010.png ; $\tau ( H ) = \operatorname { min } \{ t > 0 : \tau ( t ) \in H \}$ ; confidence 0.998
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103307.png ; $F ( x )$ ; confidence 0.998
  
222. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008036.png ; $S ( 0 ) = 1$ ; confidence 0.998
  
223. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148041.png ; $x ^ { 2 } - 2 = ( x + \sqrt { 2 } ) ( x - \sqrt { 2 } )$ ; confidence 0.998
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a01182079.png ; $\Delta < 0$ ; confidence 0.998
  
225. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018016.png ; $\lambda \neq 0,1$ ; confidence 0.998
  
226. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137074.png ; $1 \leq i \leq m$ ; confidence 0.998
  
227. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035018.png ; $\phi _ { \lambda } ^ { \mu } ( x ) \phi _ { \lambda } ^ { \mu } ( y )$ ; confidence 0.998
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
+
228. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631020.png ; $\Delta ( A )$ ; confidence 0.998
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
+
229. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660149.png ; $I ( f )$ ; confidence 0.998
  
230. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068049.png ; $\alpha + \beta = n$ ; confidence 0.998
  
231. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018027.png ; $e ^ { - s } = z$ ; confidence 0.998
  
232. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
+
232. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004037.png ; $H _ { 1 } = H$ ; confidence 0.998
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007043.png ; $\sigma ( d ) / d < \alpha$ ; confidence 0.998
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
+
234. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478090.png ; $f ^ { - 1 } ( z )$ ; confidence 0.998
  
235. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a1201806.png ; $( T _ { n } )$ ; confidence 0.998
  
236. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012061.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n } { | \lambda _ { n } | } = b$ ; confidence 0.998
  
237. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080102.png ; $f = \operatorname { max } f ( x )$ ; confidence 0.998
  
238. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146076.png ; $H ^ { * } ( X )$ ; confidence 0.998
  
239. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a0108101.png ; $l ( y ) = 0$ ; confidence 0.998
  
240. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013038.png ; $\gamma _ { n } = 1 / n$ ; confidence 0.998
  
241. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
+
241. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t09290046.png ; $B \leq P < G$ ; confidence 0.998
  
242. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
+
242. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200804.png ; $( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.998
  
244. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
244. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464043.png ; $E \rightarrow B$ ; confidence 0.998
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008018.png ; $u ( x , t )$ ; confidence 0.998
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153018.png ; $\alpha ^ { \beta }$ ; confidence 0.998
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
247. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090229.png ; $\nabla ( \lambda ) ^ { * }$ ; confidence 0.998
  
248. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450248.png ; $V ( B )$ ; confidence 0.998
  
249. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
+
249. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350101.png ; $R ^ { G } \subset R$ ; confidence 0.998
  
250. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041044.png ; $\pi : X \rightarrow X ^ { \prime }$ ; confidence 0.998
  
251. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
+
251. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090360.png ; $G _ { K } ( V ) = G$ ; confidence 0.998
  
252. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
+
252. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082095.png ; $\alpha ( F ( X , Y ) ) = G ( \alpha ( X ) , \alpha ( Y ) )$ ; confidence 0.998
  
253. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058014.png ; $O ( h ^ { k + 2 } )$ ; confidence 0.998
  
254. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300171.png ; $\Delta _ { 1 } ( 1 ) = 1$ ; confidence 0.998
  
255. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016014.png ; $A = M - N$ ; confidence 0.998
  
256. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
+
256. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700229.png ; $K \subseteq A ( V )$ ; confidence 0.998
  
257. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
257. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120181.png ; $( n , n )$ ; confidence 0.998
  
258. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050100.png ; $L ( Y , X )$ ; confidence 0.998
  
259. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600262.png ; $> 0$ ; confidence 0.998
  
260. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450187.png ; $D = \{ z : | z | < 1 \}$ ; confidence 0.998
  
261. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830222.png ; $F \subset F _ { 1 } \subset G$ ; confidence 0.998
  
262. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021049.png ; $\omega = 0$ ; confidence 0.998
  
263. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480121.png ; $g ( x )$ ; confidence 0.998
  
264. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012048.png ; $( x , y ) \in J$ ; confidence 0.998
  
265. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010072.png ; $w ( x ) > 0$ ; confidence 0.998
  
266. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
+
266. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530609.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { P }$ ; confidence 0.998
  
267. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149023.png ; $k > 4$ ; confidence 0.998
  
268. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
+
268. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464011.png ; $\phi : U \times G \rightarrow \pi ^ { - 1 } ( U )$ ; confidence 0.998
  
269. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
269. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110070/m1100702.png ; $k = 1,2$ ; confidence 0.998
  
270. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965
+
270. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120503.png ; $\{ F / H , H ^ { 0 } \}$ ; confidence 0.998
  
271. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007050.png ; $b > 1$ ; confidence 0.998
  
272. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
+
272. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009022.png ; $0 < \tau \leq 1$ ; confidence 0.998
  
273. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
+
273. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009091.png ; $R ( t ^ { \lambda } )$ ; confidence 0.998
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017015.png ; $b ( t )$ ; confidence 0.998
  
275. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016078.png ; $[ A M ^ { - 1 } ] [ M x ] = b$ ; confidence 0.998
  
276. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006010.png ; $\beta ( A , B )$ ; confidence 0.998
  
277. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121015.png ; $v ( z ) , w _ { 1 } ( z )$ ; confidence 0.998
  
278. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
+
278. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590177.png ; $L ( B )$ ; confidence 0.998
  
279. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097040/w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081065.png ; $U _ { j } ^ { * } ( \xi ) = 0$ ; confidence 0.998
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081093.png ; $y ( t ) , \xi ( t )$ ; confidence 0.998
  
281. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590332.png ; $f ^ { - 1 } ( s _ { 0 } ) = X _ { 0 }$ ; confidence 0.998
  
282. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
+
282. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120335.png ; $F ( z , \zeta )$ ; confidence 0.998
  
283. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029012.png ; $f : X \rightarrow Y$ ; confidence 0.998
  
284. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201202.png ; $( A , B )$ ; confidence 0.998
  
285. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a010820106.png ; $\phi : X \rightarrow G ( B )$ ; confidence 0.998
  
286. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031860/d03186076.png ; $\Gamma ( U , O _ { X } )$ ; confidence 0.998
  
287. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a1100605.png ; $A , B \subset F$ ; confidence 0.998
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590276.png ; $\operatorname { lim } f ( z ) = \infty$ ; confidence 0.998
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006054.png ; $L ( X , Y )$ ; confidence 0.998
  
290. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160020.png ; $( \operatorname { mod } 4 )$ ; confidence 0.998
  
291. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040233.png ; $H ( 2,2 )$ ; confidence 0.998
  
292. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008022.png ; $\xi = \pm \frac { \omega } { c } \sqrt { 1 - ( \frac { \eta c } { \omega } ) ^ { 2 } }$ ; confidence 0.998
  
293. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060033.png ; $p = \pm 2$ ; confidence 0.998
  
294. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
+
294. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031550/d03155053.png ; $\phi : G \rightarrow H$ ; confidence 0.998
  
295. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067018.png ; $\zeta ( t )$ ; confidence 0.998
  
296. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020089.png ; $\phi : A \rightarrow B$ ; confidence 0.998
  
297. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480118.png ; $g ( m )$ ; confidence 0.998
  
298. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055059.png ; $( X ^ { \prime \prime } , \phi ^ { \prime \prime } )$ ; confidence 0.998
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013490/a0134906.png ; $k > 0$ ; confidence 0.998
  
300. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
300. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960139.png ; $\delta _ { i } \in \Delta$ ; confidence 0.998

Latest revision as of 09:58, 17 October 2019

List

1. d034120413.png ; $( x , x ^ { \prime } ) = x ^ { \prime } ( x )$ ; confidence 0.998

2. c02253040.png ; $\pi _ { 1 } ( M )$ ; confidence 0.998

3. d034120445.png ; $( F , \sigma ( F , G ) ) ^ { \prime }$ ; confidence 0.998

4. a12012068.png ; $p ^ { * } > 0$ ; confidence 0.998

5. a11016096.png ; $( A - \sigma I ) ^ { - 1 }$ ; confidence 0.998

6. d034120493.png ; $X ^ { * } = ( X ^ { \prime } , \beta ( X ^ { \prime } , X ) )$ ; confidence 0.998

7. a12016035.png ; $\frac { d A } { d t } = f ( u ) ( 1 - A ) - b A$ ; confidence 0.998

8. a13013022.png ; $\phi ( x , t , z ) =$ ; confidence 0.998

9. a01130083.png ; $( m - i ) \times ( m - i )$ ; confidence 0.998

10. a01091018.png ; $m = 1$ ; confidence 0.998

11. s08559034.png ; $z = \phi _ { 1 } ( t )$ ; confidence 0.998

12. a130240217.png ; $\operatorname { dim } ( \omega ) = r - q$ ; confidence 0.998

13. l0585902.png ; $\mu : ( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.998

14. s085590470.png ; $F ( x , y , \lambda ) = ( x - \mu ) ( x ^ { 2 } + y ^ { 3 } + \lambda y ^ { 2 } - 6 \lambda x y )$ ; confidence 0.998

15. a01150031.png ; $l ( D ) \geq \operatorname { deg } ( D ) - p + 1$ ; confidence 0.998

16. a01081096.png ; $\int _ { t _ { 0 } } ^ { t _ { 1 } } \overline { y } ( t ) \xi ( t ) d t = 0$ ; confidence 0.998

17. l058590104.png ; $L ( G / H ) \cong L ( G ) / L ( H )$ ; confidence 0.998

18. u09524031.png ; $0 \leq x \leq n$ ; confidence 0.998

19. f04082097.png ; $\alpha ( \beta ( X ) ) = X$ ; confidence 0.998

20. a11022069.png ; $H = L _ { 2 } [ 0 , \infty )$ ; confidence 0.998

21. d034120186.png ; $( F , \Omega )$ ; confidence 0.998

22. a11002047.png ; $q \equiv 3 ( \operatorname { mod } 4 )$ ; confidence 0.998

23. a13014022.png ; $2 \leq n < \infty$ ; confidence 0.998

24. a01160027.png ; $\frac { 1 } { x + y \sqrt { D } } = x - y \sqrt { D }$ ; confidence 0.998

25. l05872099.png ; $L = L _ { k } / Z ( L _ { k } )$ ; confidence 0.998

26. a1200204.png ; $f : A \rightarrow X$ ; confidence 0.998

27. a11032033.png ; $R _ { 0 } ^ { ( s + 1 ) } ( z )$ ; confidence 0.998

28. a01160014.png ; $O _ { K }$ ; confidence 0.998

29. a13008059.png ; $s = R - L$ ; confidence 0.998

30. a0108405.png ; $( A x , y ) = ( x , A ^ { * } y )$ ; confidence 0.998

31. a0114506.png ; $k ( x , y )$ ; confidence 0.998

32. j05427018.png ; $C ( V , f )$ ; confidence 0.998

33. a1102201.png ; $( X _ { t } ) _ { t \in T }$ ; confidence 0.998

34. p07472082.png ; $\Gamma \times E \rightarrow E$ ; confidence 0.998

35. a12012046.png ; $( 0 , y ) \in J$ ; confidence 0.998

36. a01082050.png ; $\alpha ^ { \prime } : F ( X ) \rightarrow Y$ ; confidence 0.998

37. m06406040.png ; $G ( y )$ ; confidence 0.998

38. h047410161.png ; $R ^ { G }$ ; confidence 0.998

39. r07764057.png ; $A ^ { 3 }$ ; confidence 0.998

40. a01160036.png ; $5 = ( 2 + \sqrt { - 1 } ) ( 2 - \sqrt { - 1 } )$ ; confidence 0.998

41. l05868026.png ; $\Gamma ( G )$ ; confidence 0.998

42. a1104609.png ; $T \equiv \frac { \mu B ^ { 2 } } { 4 \pi }$ ; confidence 0.998

43. a12011021.png ; $A ( 4 , n )$ ; confidence 0.998

44. a13007063.png ; $- 1 / 25$ ; confidence 0.998

45. a01055061.png ; $\partial X ^ { \prime \prime } = X \cup X ^ { \prime }$ ; confidence 0.998

46. h04797060.png ; $\Delta : G \rightarrow G \times G$ ; confidence 0.998

47. l058590142.png ; $B \times E \rightarrow B E$ ; confidence 0.998

48. a12010067.png ; $f \in L ^ { 2 } ( \Omega )$ ; confidence 0.998

49. c02069021.png ; $80$ ; confidence 0.998

50. r08103037.png ; $\Phi _ { k } ( G )$ ; confidence 0.998

51. a01081042.png ; $L ^ { * } ( \psi ) = 0$ ; confidence 0.998

52. a01220084.png ; $0 \leq t \leq 1$ ; confidence 0.998

53. a01164088.png ; $b _ { 1 } ( V ) = 2 q ( V )$ ; confidence 0.998

54. a01046059.png ; $y = P ( x )$ ; confidence 0.998

55. a130180141.png ; $( U )$ ; confidence 0.998

56. a01068013.png ; $F ( z )$ ; confidence 0.998

57. t130140124.png ; $R = K Q$ ; confidence 0.998

58. l05925088.png ; $\operatorname { dim } ( 1 - t ) V = 1$ ; confidence 0.998

59. a01086015.png ; $\phi \in M ^ { * }$ ; confidence 0.998

60. a11046014.png ; $T \equiv \mu B ^ { 2 } / 4 \pi$ ; confidence 0.998

61. m06557033.png ; $h ( X _ { 2 } ) = 1$ ; confidence 0.998

62. s08559035.png ; $0 \leq t < \tau _ { 1 }$ ; confidence 0.998

63. a01060029.png ; $p = - 1$ ; confidence 0.998

64. h04797082.png ; $\pi ( G , K ) = \sum _ { i = 0 } ^ { \infty } \pi _ { i } ( G ) \otimes K$ ; confidence 0.998

65. a011600147.png ; $( \alpha )$ ; confidence 0.998

66. a13007018.png ; $945$ ; confidence 0.998

67. s085590413.png ; $A = \pi ^ { - 1 } ( x )$ ; confidence 0.998

68. a01068043.png ; $\theta _ { 2 } < 1$ ; confidence 0.998

69. w098100191.png ; $p ( k )$ ; confidence 0.998

70. d03070059.png ; $H ^ { 2 } ( X , \Theta ) = 0$ ; confidence 0.998

71. e03696091.png ; $c ( \eta ) \neq 0$ ; confidence 0.998

72. a13024079.png ; $( i , j , k )$ ; confidence 0.998

73. a12031036.png ; $C ( E )$ ; confidence 0.998

74. w09771052.png ; $W ( T _ { 0 } , G )$ ; confidence 0.998

75. a12011019.png ; $A ( 2 , n ) = 2 n + 3$ ; confidence 0.998

76. a01254013.png ; $G = 0$ ; confidence 0.998

77. d03249018.png ; $d ( p ) \geq d ( q )$ ; confidence 0.998

78. b130290148.png ; $\operatorname { dim } A = 1$ ; confidence 0.998

79. a01160021.png ; $( 1 , \sqrt { D } )$ ; confidence 0.998

80. a014170143.png ; $f : G \rightarrow V$ ; confidence 0.998

81. d031830260.png ; $\partial _ { i } I \subset I$ ; confidence 0.998

82. a11001083.png ; $A ^ { - 1 }$ ; confidence 0.998

83. a12020074.png ; $Q ( \lambda ) = \operatorname { det } ( T - \lambda I )$ ; confidence 0.998

84. a011490115.png ; $\tau = 1 / x$ ; confidence 0.998

85. a12017050.png ; $\Psi ( x )$ ; confidence 0.998

86. g13002015.png ; $F ( z ) = P ( e ^ { z } , e ^ { \beta z } )$ ; confidence 0.998

87. a01068038.png ; $g ( A ) < \infty$ ; confidence 0.998

88. h0476906.png ; $( g h ) x = g ( h x )$ ; confidence 0.998

89. a011490148.png ; $k = 3,4$ ; confidence 0.998

90. a11025017.png ; $\beta = \alpha \frac { E _ { 1 } } { R T _ { \infty } }$ ; confidence 0.998

91. a13002016.png ; $\mu ( X \backslash A ) = 0$ ; confidence 0.998

92. f04082077.png ; $\phi _ { F } : L \rightarrow A$ ; confidence 0.998

93. a01070029.png ; $( b , c ) \in s$ ; confidence 0.998

94. a11037042.png ; $X ( t ) - X ( s )$ ; confidence 0.998

95. s08559048.png ; $z ^ { \prime } = \phi _ { 1 } ( \tau ^ { \prime } )$ ; confidence 0.998

96. t12001072.png ; $\xi ( \tau ) = \tau _ { 1 } \xi ^ { 1 } + \tau _ { 2 } \xi ^ { 2 } + \tau _ { 3 } \xi ^ { 3 }$ ; confidence 0.998

97. t12001078.png ; $1$ ; confidence 0.998

98. a110420163.png ; $\theta = 1 - \theta$ ; confidence 0.998

99. a110420118.png ; $H$ ; confidence 0.998

100. a11042090.png ; $n > 0$ ; confidence 0.998

101. a110420121.png ; $y \leq x$ ; confidence 0.998

102. a13013097.png ; $L ( \psi ) = z \psi$ ; confidence 0.998

103. a12022035.png ; $r ( S ) \leq r ( T )$ ; confidence 0.998

104. a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998

105. a110040170.png ; $A$ ; confidence 0.998

106. a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998

107. a1200608.png ; $c ( x )$ ; confidence 0.998

108. a11033016.png ; $N p$ ; confidence 0.998

109. a11036013.png ; $n > 1$ ; confidence 0.998

110. a12017016.png ; $b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$ ; confidence 0.998

111. a01149058.png ; $D ( x _ { 0 } ) = 0$ ; confidence 0.998

112. a01209097.png ; $Z ( A ) = A \cap Z ( R )$ ; confidence 0.998

113. a012970244.png ; $L ( f )$ ; confidence 0.998

114. a01301081.png ; $D ^ { 0 } f = f$ ; confidence 0.998

115. a013180116.png ; $H _ { k + 1 } ( f ( M ) )$ ; confidence 0.998

116. a0143001.png ; $\epsilon - \delta$ ; confidence 0.998

117. b13001094.png ; $V ^ { * } - V$ ; confidence 0.998

118. b11013099.png ; $m _ { 1 } \in M _ { 1 }$ ; confidence 0.998

119. b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998

120. b01539024.png ; $\pi ( d \theta ) = \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.998

121. b11037025.png ; $0 < \epsilon < i ( \theta _ { 0 } )$ ; confidence 0.998

122. b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998

123. b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998

124. b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998

125. c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998

126. c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998

127. c020890110.png ; $\psi = \psi ( s )$ ; confidence 0.998

128. c021620209.png ; $B G$ ; confidence 0.998

129. c02165011.png ; $t _ { k } \in R ^ { 1 }$ ; confidence 0.998

130. c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998

131. c022660300.png ; $K ( f )$ ; confidence 0.998

132. c02266075.png ; $\mu ( E ) = \mu _ { 1 } ( E ) = 0$ ; confidence 0.998

133. c022780177.png ; $( n )$ ; confidence 0.998

134. c02292048.png ; $V _ { 3 }$ ; confidence 0.998

135. c02583071.png ; $i B _ { 0 }$ ; confidence 0.998

136. c026010417.png ; $\rho < 1$ ; confidence 0.998

137. c02717082.png ; $q = 59$ ; confidence 0.998

138. d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998

139. d03191048.png ; $x _ { 2 } ( t )$ ; confidence 0.998

140. d03191051.png ; $x _ { 1 } ( t _ { 0 } ) = x _ { 2 } ( t _ { 0 } )$ ; confidence 0.998

141. d03192079.png ; $0 < l < n$ ; confidence 0.998

142. d03201093.png ; $n - m$ ; confidence 0.998

143. d03292042.png ; $\sigma > h$ ; confidence 0.998

144. d03372050.png ; $\gamma _ { k } < \sigma < 1$ ; confidence 0.998

145. d03399055.png ; $y ^ { \prime } ( b ) + v ( b ) y ( b ) = \gamma ( b )$ ; confidence 0.998

146. e1300407.png ; $U _ { 0 } ( t )$ ; confidence 0.998

147. e12026092.png ; $( L _ { \mu } ) ^ { p }$ ; confidence 0.998

148. e03716049.png ; $\Delta J =$ ; confidence 0.998

149. f0381302.png ; $G _ { i } = V _ { i } ( E + \Delta - V _ { i } ) ^ { - 1 }$ ; confidence 0.998

150. f04019037.png ; $V ( x _ { 0 } )$ ; confidence 0.998

151. f04033018.png ; $f ^ { - 1 } ( f ( x ) ) \cap U$ ; confidence 0.998

152. f04069087.png ; $\{ \xi _ { f } : f \in H \}$ ; confidence 0.998

153. f04117026.png ; $K = D$ ; confidence 0.998

154. f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998

155. g04434018.png ; $d f ( X )$ ; confidence 0.998

156. g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998

157. h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998

158. h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998

159. i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998

160. i12004046.png ; $\partial D \times D$ ; confidence 0.998

161. j05409038.png ; $x = B x + g$ ; confidence 0.998

162. j05420048.png ; $f _ { 0 } ( \Delta )$ ; confidence 0.998

163. j130040145.png ; $M ^ { ( 2 ) }$ ; confidence 0.998

164. k05504059.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 4 } + x _ { 2 } ^ { 4 } + x _ { 3 } ^ { 4 } = 0$ ; confidence 0.998

165. k11019069.png ; $P = Q$ ; confidence 0.998

166. k056010135.png ; $p : X \rightarrow S$ ; confidence 0.998

167. l0570007.png ; $( M N ) \in \Lambda$ ; confidence 0.998

168. l05821012.png ; $- \operatorname { log } | \zeta |$ ; confidence 0.998

169. l05821045.png ; $0 < r < \operatorname { tanh } \pi / 4$ ; confidence 0.998

170. l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998

171. l059170161.png ; $H ^ { k }$ ; confidence 0.998

172. l05935092.png ; $Y ( t ) = X ( t ) C$ ; confidence 0.998

173. l06019071.png ; $d ( A )$ ; confidence 0.998

174. l06025052.png ; $m = n = 1$ ; confidence 0.998

175. m1200304.png ; $f _ { \theta } ( x )$ ; confidence 0.998

176. m06392082.png ; $n \geq 9$ ; confidence 0.998

177. n06690064.png ; $G \rightarrow A$ ; confidence 0.998

178. n06776016.png ; $N ( A ^ { * } ) = \{ 0 \}$ ; confidence 0.998

179. o068350148.png ; $\phi \in D ( A )$ ; confidence 0.998

180. p0723004.png ; $F ( H )$ ; confidence 0.998

181. p072830109.png ; $\sigma _ { i j } ( t )$ ; confidence 0.998

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

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

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

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

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

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

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

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

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

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

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

193. s086360102.png ; $B ( r ) = \int _ { 0 } ^ { \infty } J _ { 0 } ( \lambda r ) d F ( \lambda )$ ; confidence 0.998

194. s0863808.png ; $s _ { 1 } - t _ { 1 } = s _ { 2 } - t _ { 2 }$ ; confidence 0.998

195. s1202804.png ; $\overline { f } : X \rightarrow Y$ ; confidence 0.998

196. s09090088.png ; $\xi = \infty \in \partial D$ ; confidence 0.998

197. t13005033.png ; $D _ { A } ^ { 2 } = 0$ ; confidence 0.998

198. t13009023.png ; $f ^ { - 1 } ( S )$ ; confidence 0.998

199. t09326078.png ; $d = 6$ ; confidence 0.998

200. t09326038.png ; $( X ) \in M$ ; confidence 0.998

201. t120200142.png ; $m > - 1$ ; confidence 0.998

202. u09544020.png ; $U ( \epsilon )$ ; confidence 0.998

203. v096020116.png ; $f ( z ) \in K$ ; confidence 0.998

204. v096020147.png ; $( f ) \subseteq V ( f )$ ; confidence 0.998

205. w130080124.png ; $T _ { 1 } \sim \Lambda$ ; confidence 0.998

206. y099030101.png ; $\pi _ { 1 } : P _ { 1 } \rightarrow S ^ { 4 }$ ; confidence 0.998

207. a01055057.png ; $\phi : G \times X \rightarrow X$ ; confidence 0.998

208. d034120248.png ; $| z | > \sigma$ ; confidence 0.998

209. d034120328.png ; $F ( z ) \equiv 0$ ; confidence 0.998

210. a01067025.png ; $d x = f ( x , t ) d t + g ( x , t ) d w$ ; confidence 0.998

211. a11008032.png ; $R ( s ) \ll 1$ ; confidence 0.998

212. a12011016.png ; $A ( 0 , n ) = n + 1$ ; confidence 0.998

213. a12004021.png ; $\tau > 0$ ; confidence 0.998

214. a01121064.png ; $y ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) y = 0$ ; confidence 0.998

215. l058720146.png ; $p = 2,3,5$ ; confidence 0.998

216. a12020020.png ; $q ( T ) \neq 0$ ; confidence 0.998

217. a11033012.png ; $p = 1 / 100$ ; confidence 0.998

218. h047690117.png ; $U ( k )$ ; confidence 0.998

219. a12008068.png ; $L ( H ^ { 1 } ( \Omega ) , L ^ { 2 } ( \Omega ) )$ ; confidence 0.998

220. a01043010.png ; $\tau ( H ) = \operatorname { min } \{ t > 0 : \tau ( t ) \in H \}$ ; confidence 0.998

221. a0103307.png ; $F ( x )$ ; confidence 0.998

222. a12008036.png ; $S ( 0 ) = 1$ ; confidence 0.998

223. a01148041.png ; $x ^ { 2 } - 2 = ( x + \sqrt { 2 } ) ( x - \sqrt { 2 } )$ ; confidence 0.998

224. a01182079.png ; $\Delta < 0$ ; confidence 0.998

225. a12018016.png ; $\lambda \neq 0,1$ ; confidence 0.998

226. a01137074.png ; $1 \leq i \leq m$ ; confidence 0.998

227. a11035018.png ; $\phi _ { \lambda } ^ { \mu } ( x ) \phi _ { \lambda } ^ { \mu } ( y )$ ; confidence 0.998

228. q07631020.png ; $\Delta ( A )$ ; confidence 0.998

229. c022660149.png ; $I ( f )$ ; confidence 0.998

230. a01068049.png ; $\alpha + \beta = n$ ; confidence 0.998

231. a01018027.png ; $e ^ { - s } = z$ ; confidence 0.998

232. s13004037.png ; $H _ { 1 } = H$ ; confidence 0.998

233. a13007043.png ; $\sigma ( d ) / d < \alpha$ ; confidence 0.998

234. c02478090.png ; $f ^ { - 1 } ( z )$ ; confidence 0.998

235. a1201806.png ; $( T _ { n } )$ ; confidence 0.998

236. a01012061.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n } { | \lambda _ { n } | } = b$ ; confidence 0.998

237. a130080102.png ; $f = \operatorname { max } f ( x )$ ; confidence 0.998

238. a01146076.png ; $H ^ { * } ( X )$ ; confidence 0.998

239. a0108101.png ; $l ( y ) = 0$ ; confidence 0.998

240. a12013038.png ; $\gamma _ { n } = 1 / n$ ; confidence 0.998

241. t09290046.png ; $B \leq P < G$ ; confidence 0.998

242. b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998

243. a1200804.png ; $( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.998

244. p07464043.png ; $E \rightarrow B$ ; confidence 0.998

245. a12008018.png ; $u ( x , t )$ ; confidence 0.998

246. a01153018.png ; $\alpha ^ { \beta }$ ; confidence 0.998

247. w120090229.png ; $\nabla ( \lambda ) ^ { * }$ ; confidence 0.998

248. a011450248.png ; $V ( B )$ ; confidence 0.998

249. i052350101.png ; $R ^ { G } \subset R$ ; confidence 0.998

250. a11041044.png ; $\pi : X \rightarrow X ^ { \prime }$ ; confidence 0.998

251. w120090360.png ; $G _ { K } ( V ) = G$ ; confidence 0.998

252. f04082095.png ; $\alpha ( F ( X , Y ) ) = G ( \alpha ( X ) , \alpha ( Y ) )$ ; confidence 0.998

253. a01058014.png ; $O ( h ^ { k + 2 } )$ ; confidence 0.998

254. a011300171.png ; $\Delta _ { 1 } ( 1 ) = 1$ ; confidence 0.998

255. a11016014.png ; $A = M - N$ ; confidence 0.998

256. d030700229.png ; $K \subseteq A ( V )$ ; confidence 0.998

257. d034120181.png ; $( n , n )$ ; confidence 0.998

258. a120050100.png ; $L ( Y , X )$ ; confidence 0.998

259. a011600262.png ; $> 0$ ; confidence 0.998

260. a011450187.png ; $D = \{ z : | z | < 1 \}$ ; confidence 0.998

261. d031830222.png ; $F \subset F _ { 1 } \subset G$ ; confidence 0.998

262. a01021049.png ; $\omega = 0$ ; confidence 0.998

263. a011480121.png ; $g ( x )$ ; confidence 0.998

264. a12012048.png ; $( x , y ) \in J$ ; confidence 0.998

265. a11010072.png ; $w ( x ) > 0$ ; confidence 0.998

266. i0530609.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { P }$ ; confidence 0.998

267. a01149023.png ; $k > 4$ ; confidence 0.998

268. p07464011.png ; $\phi : U \times G \rightarrow \pi ^ { - 1 } ( U )$ ; confidence 0.998

269. m1100702.png ; $k = 1,2$ ; confidence 0.998

270. d034120503.png ; $\{ F / H , H ^ { 0 } \}$ ; confidence 0.998

271. a13007050.png ; $b > 1$ ; confidence 0.998

272. b12009022.png ; $0 < \tau \leq 1$ ; confidence 0.998

273. w12009091.png ; $R ( t ^ { \lambda } )$ ; confidence 0.998

274. a12017015.png ; $b ( t )$ ; confidence 0.998

275. a11016078.png ; $[ A M ^ { - 1 } ] [ M x ] = b$ ; confidence 0.998

276. a11006010.png ; $\beta ( A , B )$ ; confidence 0.998

277. a01121015.png ; $v ( z ) , w _ { 1 } ( z )$ ; confidence 0.998

278. l058590177.png ; $L ( B )$ ; confidence 0.998

279. a01081065.png ; $U _ { j } ^ { * } ( \xi ) = 0$ ; confidence 0.998

280. a01081093.png ; $y ( t ) , \xi ( t )$ ; confidence 0.998

281. s085590332.png ; $f ^ { - 1 } ( s _ { 0 } ) = X _ { 0 }$ ; confidence 0.998

282. d034120335.png ; $F ( z , \zeta )$ ; confidence 0.998

283. a01029012.png ; $f : X \rightarrow Y$ ; confidence 0.998

284. a1201202.png ; $( A , B )$ ; confidence 0.998

285. a010820106.png ; $\phi : X \rightarrow G ( B )$ ; confidence 0.998

286. d03186076.png ; $\Gamma ( U , O _ { X } )$ ; confidence 0.998

287. a1100605.png ; $A , B \subset F$ ; confidence 0.998

288. s085590276.png ; $\operatorname { lim } f ( z ) = \infty$ ; confidence 0.998

289. a12006054.png ; $L ( X , Y )$ ; confidence 0.998

290. a01160020.png ; $( \operatorname { mod } 4 )$ ; confidence 0.998

291. a110040233.png ; $H ( 2,2 )$ ; confidence 0.998

292. a11008022.png ; $\xi = \pm \frac { \omega } { c } \sqrt { 1 - ( \frac { \eta c } { \omega } ) ^ { 2 } }$ ; confidence 0.998

293. a01060033.png ; $p = \pm 2$ ; confidence 0.998

294. d03155053.png ; $\phi : G \rightarrow H$ ; confidence 0.998

295. a01067018.png ; $\zeta ( t )$ ; confidence 0.998

296. a01020089.png ; $\phi : A \rightarrow B$ ; confidence 0.998

297. a011480118.png ; $g ( m )$ ; confidence 0.998

298. a01055059.png ; $( X ^ { \prime \prime } , \phi ^ { \prime \prime } )$ ; confidence 0.998

299. a0134906.png ; $k > 0$ ; confidence 0.998

300. e036960139.png ; $\delta _ { i } \in \Delta$ ; confidence 0.998

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/4. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/4&oldid=43834