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(AUTOMATIC EDIT of page 57 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
(AUTOMATIC EDIT of page 57 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009017.png ; $h _ { j } \in H$ ; confidence 0.399
+
1. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024021.png ; $( U ( g ) )$ ; confidence 0.525
  
2. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009046.png ; $\sqrt { n ! }$ ; confidence 0.999
+
2. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023047.png ; $z ( a ) = 0 = z ( b )$ ; confidence 0.524
  
3. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011016.png ; $K ^ { \perp }$ ; confidence 0.947
+
3. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003045.png ; $\psi = ( \text { id } \otimes \varphi ) \circ L : A \rightarrow \operatorname { Fun } _ { q } ( G )$ ; confidence 0.524
  
4. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011030.png ; $f ( T ^ { x } x )$ ; confidence 0.696
+
4. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021055.png ; $B _ { m } = I _ { m }$ ; confidence 0.524
  
5. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018067.png ; $[ 0,1 ] ^ { N }$ ; confidence 1.000
+
5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003029.png ; $h _ { K }$ ; confidence 0.524
  
6. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018015.png ; $R _ { + } ^ { N }$ ; confidence 0.910
+
6. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001042.png ; $\overline { d } ( n ) ( A ) = \operatorname { per } ( A ) \geq \overline { d } _ { \lambda } ( A )$ ; confidence 0.524
  
7. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c11033024.png ; $x \in R ^ { d }$ ; confidence 0.832
+
7. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013071.png ; $\psi _ { + }$ ; confidence 0.524
  
8. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019042.png ; $\Omega f = F$ ; confidence 0.997
+
8. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015025.png ; $w \in T V$ ; confidence 0.524
  
9. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057240/l0572408.png ; $t \in R ^ { + }$ ; confidence 0.989
+
9. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031018.png ; $n ( \epsilon , F _ { d } ) = \operatorname { min } \{ n : e _ { X } ( F _ { d } ) \leq \epsilon \}$ ; confidence 0.524
  
10. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w1301209.png ; $A \in CL ( X )$ ; confidence 0.862
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030024.png ; $\theta _ { X }$ ; confidence 0.524
  
11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020028.png ; $b _ { \nu } = 0$ ; confidence 0.847
+
11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090373.png ; $M = U _ { Z } v ^ { + }$ ; confidence 0.524
  
12. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
+
12. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z1300409.png ; $[ n + 2 ]$ ; confidence 0.523
  
13. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013013.png ; $\delta W = 0$ ; confidence 0.993
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070121.png ; $\frac { d u } { d t } = A ( t , v ) u + f ( t , v ) , 0 < t \leq T , u ( 0 ) = u v$ ; confidence 0.523
  
14. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130130/w13013029.png ; $W \geq 4 \pi$ ; confidence 1.000
+
14. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e1300209.png ; $( \varphi _ { j } ) _ { j \in N }$ ; confidence 0.523
  
15. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090080/s09008044.png ; $\tilde { V }$ ; confidence 0.254
+
15. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006073.png ; $Z = Z$ ; confidence 0.523
  
16. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001041.png ; $G _ { i n n } < G$ ; confidence 0.442
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260102.png ; $X = ( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.523
  
17. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r0822902.png ; $x , y , z \in X$ ; confidence 0.974
+
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023077.png ; $L _ { X } = [ i \chi , d ] = i \chi d + d i \chi$ ; confidence 0.523
  
18. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262079.png ; $( x , y ) \in Z$ ; confidence 0.991
+
18. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019010.png ; $j = 0 , \ldots , 2 N - 1$ ; confidence 0.523
  
19. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001021.png ; $k \in Z ^ { + }$ ; confidence 0.587
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a1102803.png ; $u$ ; confidence 0.523
  
20. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z1300108.png ; $\{ a ^ { x } \}$ ; confidence 0.562
+
20. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008031.png ; $= \Lambda ^ { m } + D _ { 1 } \Lambda ^ { m - 1 } + \ldots + D _ { m - 1 } \Lambda + D _ { m } , D _ { k } \in C ^ { n \times n } , k = 1 , \ldots , m$ ; confidence 0.523
  
21. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001062.png ; $t z - \alpha$ ; confidence 0.355
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110040/b11004038.png ; $N _ { 2 } / N _ { 1 }$ ; confidence 0.523
  
22. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z1300305.png ; $Z _ { r i } ( f )$ ; confidence 0.214
+
22. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110153.png ; $p f \subset K$ ; confidence 0.523
  
23. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004028.png ; $4 / 21 \leq c$ ; confidence 0.969
+
23. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023074.png ; $R ^ { - 1 } - Z ^ { * } R ^ { - 1 } Z = \overline { H } \square ^ { * } J \overline { H }$ ; confidence 0.523
  
24. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001039.png ; $\hat { U } - 1$ ; confidence 0.288
+
24. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260228.png ; $Q ( A )$ ; confidence 0.523
  
25. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040280/f04028067.png ; $| \vec { G } |$ ; confidence 0.832
+
25. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003092.png ; $\sum _ { i = 1 } ^ { n } \eta ( \vec { x } _ { i } , r _ { i } ) \vec { x } _ { i } = \vec { 0 }$ ; confidence 0.523
  
26. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002048.png ; $21 + 8 + 2 = 31$ ; confidence 1.000
+
26. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001039.png ; $x ( z ) z ^ { x - 1 } = h ( z ) / g ( z )$ ; confidence 0.523
  
27. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002037.png ; $F _ { m - n } + 1$ ; confidence 0.392
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300141.png ; $D ( 2 n 1 ) \times D ( 2 n 2 ) ^ { 1 }$ ; confidence 0.523
  
28. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002013.png ; $F _ { x _ { 1 } }$ ; confidence 0.761
+
28. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012092.png ; $p \in P$ ; confidence 0.523
  
29. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002046.png ; $55 + 21 + 5 = 8$ ; confidence 1.000
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023044.png ; $\hat { D }$ ; confidence 0.522
  
30. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002017.png ; $F _ { x _ { 2 } }$ ; confidence 0.484
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300406.png ; $\lambda ^ { Fm } : Fm ^ { n } \rightarrow Fm$ ; confidence 0.522
  
31. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008019.png ; $n \in N _ { 0 }$ ; confidence 0.718
+
31. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090268.png ; $n _ { \beta }$ ; confidence 0.522
  
32. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096054.png ; $\alpha ( x )$ ; confidence 0.991
+
32. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007016.png ; $\left( \begin{array} { c } { v _ { 1 } , t } \\ { \vdots } \\ { v _ { k , t } } \end{array} \right)$ ; confidence 0.522
  
33. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010134.png ; $( 4 n + 3 )$ ; confidence 1.000
+
33. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l110020158.png ; $a , b \in G$ ; confidence 0.522
  
34. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029049.png ; $\forall \{ u ; : j \in J \} \subset L ^ { X }$ ; confidence 0.522
  
35. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
+
35. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048036.png ; $H _ { S } ^ { 0 } ( D ) = ker D$ ; confidence 0.522
  
36. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010107.png ; $n \geq 0$ ; confidence 0.996
+
36. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020127.png ; $g ( \overline { u } _ { 1 } ) = c ^ { T } x ^ { ( l ) } + ( A _ { 1 } x ^ { ( l ) } - b _ { 1 } ) ^ { T } \overline { u }$ ; confidence 0.522
  
37. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
+
37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017011.png ; $T > t$ ; confidence 0.522
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013043.png ; $F _ { j k }$ ; confidence 0.974
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014023.png ; $n = 1 , \infty$ ; confidence 0.522
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301308.png ; $s l _ { 2 }$ ; confidence 0.247
+
39. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
+
40. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010034.png ; $F _ { S } ( t , x _ { 1 } , \ldots , x _ { S } ) =$ ; confidence 0.522
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240519.png ; $Z _ { 13 }$ ; confidence 0.481
+
41. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011045.png ; $= \int _ { R ^ { 2 n } } \hat { \alpha } ( \Xi ) \operatorname { exp } ( 2 i \pi \Xi M ) d \Xi$ ; confidence 0.522
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240152.png ; $X \beta$ ; confidence 0.414
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209011.png ; $\alpha , b \in R$ ; confidence 0.522
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
+
43. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015340/b0153407.png ; $G ^ { \prime }$ ; confidence 0.522
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
44. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005065.png ; $QS ( T )$ ; confidence 0.522
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023052.png ; $\partial \Omega _ { Y }$ ; confidence 0.521
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
46. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b017030110.png ; $\Omega ^ { x }$ ; confidence 0.521
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
+
47. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110250/p1102503.png ; $x ^ { 0 } \in R ^ { x }$ ; confidence 0.521
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
+
48. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031036.png ; $\alpha _ { l } \leq \dot { k }$ ; confidence 0.521
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
+
49. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002083.png ; $E | Y _ { \infty } - Y _ { T } | \leq cP [ T < \infty ]$ ; confidence 0.521
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240344.png ; $1 \times p$ ; confidence 0.997
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410136.png ; $U _ { 1 }$ ; confidence 0.521
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
51. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010030.png ; $\forall x \forall y ( \forall z ( z \in x \leftrightarrow z \in y ) \rightarrow x = y )$ ; confidence 0.521
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302403.png ; $n \times 1$ ; confidence 0.875
+
52. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080106.png ; $T _ { c } = 2 J / k _ { S }$ ; confidence 0.521
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240375.png ; $( n - r ) F$ ; confidence 1.000
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029017.png ; $10$ ; confidence 0.521
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240433.png ; $A \Theta B$ ; confidence 0.626
+
54. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201909.png ; $f _ { W Y }$ ; confidence 0.521
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240346.png ; $q \times p$ ; confidence 0.619
+
55. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026067.png ; $f : \overline { \Omega } \rightarrow R ^ { n }$ ; confidence 0.521
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024030.png ; $n \times p$ ; confidence 0.435
+
56. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028027.png ; $\{ \ldots \}$ ; confidence 0.521
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b12044069.png ; $\{ g ; \}$ ; confidence 0.521
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
+
58. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001035.png ; $P ( X _ { i } | \gamma _ { i } )$ ; confidence 0.521
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002028.png ; $X \times Y$ ; confidence 0.642
+
59. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002031.png ; $P ^ { \# } P$ ; confidence 0.521
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002015.png ; $\mu ( A ) = 0$ ; confidence 1.000
+
60. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021036.png ; $X _ { i } \in a$ ; confidence 0.521
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003012.png ; $x - a | < b - a$ ; confidence 0.223
+
61. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700071.png ; $W \equiv \lambda x \cdot F ( x x )$ ; confidence 0.521
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040525.png ; $FFi _ { D } A$ ; confidence 0.744
+
62. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020080.png ; $R _ { n } < 1 - \operatorname { log } n / ( 3 n )$ ; confidence 0.520
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004085.png ; $\{ 21 , n \}$ ; confidence 0.211
+
63. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016020.png ; $\| I _ { 1 } ( f ) - U ^ { i } ( f ) \| _ { 0 }$ ; confidence 0.520
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040667.png ; $L D S _ { P } =$ ; confidence 0.603
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a1301809.png ; $F _ { L } \subseteq Mod \times Fm$ ; confidence 0.520
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004099.png ; $\psi \in S$ ; confidence 0.398
+
65. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019038.png ; $N$ ; confidence 0.520
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066032.png ; $H f ( x ) = \operatorname { lim } _ { \epsilon } \lfloor 0 \int _ { | t | > \epsilon } f ( x - t ) / t d t$ ; confidence 0.520
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006045.png ; $\delta > 0$ ; confidence 0.999
+
67. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005080.png ; $\{ A ( t ) \}$ ; confidence 1.000
+
68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $T$ ; confidence 0.520
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005021.png ; $s \in [ 0 , T$ ; confidence 0.657
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055036.png ; $Z _ { p }$ ; confidence 0.520
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005090.png ; $\{ B ( t ) \}$ ; confidence 1.000
+
70. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009045.png ; $\varepsilon \mapsto ( \varepsilon , \ldots , \varepsilon )$ ; confidence 0.520
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005020.png ; $U ( s , s ) = I$ ; confidence 0.963
+
71. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016055.png ; $x _ { i } ^ { \prime }$ ; confidence 0.520
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006020.png ; $u \in P ( x )$ ; confidence 0.687
+
72. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032063.png ; $t \leq \pi$ ; confidence 0.520
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006010.png ; $L ( R ^ { p } )$ ; confidence 0.992
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030097.png ; $c ( K )$ ; confidence 0.520
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070109.png ; $D ( A ( t ) ) =$ ; confidence 0.999
+
74. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012016.png ; $\| f ( x ) - \alpha ( x ) \| \leq \varepsilon$ ; confidence 0.520
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060112.png ; $\alpha > 1$ ; confidence 0.993
+
75. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013049.png ; $V ( Z _ { p } ) \neq \emptyset$ ; confidence 0.520
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200802.png ; $u ( x , t ) = 0$ ; confidence 1.000
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008040.png ; $v ^ { H }$ ; confidence 0.520
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008017.png ; $u _ { 1 } ( x )$ ; confidence 0.966
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198064.png ; $i , j$ ; confidence 0.520
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007070.png ; $1 \leq m < n$ ; confidence 0.794
+
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150132.png ; $\pi : X \rightarrow X / G$ ; confidence 0.520
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010047.png ; $R ( I + A ) = X$ ; confidence 0.999
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006027.png ; $\alpha _ { k } = n$ ; confidence 0.520
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
+
80. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200118.png ; $\alpha _ { j } ( D _ { i } ) = \delta _ { i j }$ ; confidence 0.519
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011028.png ; $T ( i , 2 ) = 4$ ; confidence 1.000
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012041.png ; $( I - A ) v = c$ ; confidence 0.977
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027031.png ; $P$ ; confidence 0.519
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012028.png ; $\beta j > 0$ ; confidence 0.505
+
83. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120230/c1202302.png ; $A _ { 0 } \subset R ^ { \gamma }$ ; confidence 0.519
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103204.png ; $y ( t _ { m } )$ ; confidence 0.721
+
84. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002050.png ; $E B _ { S } B _ { t } = \operatorname { min } ( s , t )$ ; confidence 0.519
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016018.png ; $\{ u ( t ) \}$ ; confidence 0.655
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027083.png ; $Q _ { x } ^ { * } w \rightarrow w$ ; confidence 0.519
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a1201601.png ; $u _ { i } ( t )$ ; confidence 0.930
+
86. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020059.png ; $h _ { i j } = 0$ ; confidence 0.519
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005042.png ; $\lambda \in S _ { \theta _ { 0 } }$ ; confidence 0.519
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017028.png ; $w ^ { * } ( a )$ ; confidence 0.764
+
88. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027079.png ; $\sum m \underline { \square } _ { n } ( h ) h$ ; confidence 0.519
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018086.png ; $10 ^ { - 16 }$ ; confidence 1.000
+
89. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020037.png ; $\left( \begin{array} { c c c c } { 9 } & { 2 } & { 3 } & { 6 } \\ { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right) = \left( \begin{array} { c c c c } { 2 } & { 3 } & { 9 } & { 6 } \\ { 4 } & { 1 } & { 7 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right)$ ; confidence 0.519
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014045.png ; $\sqrt { 2 }$ ; confidence 1.000
+
90. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009062.png ; $\Gamma ^ { p m } \mapsto \gamma \operatorname { mod } \Gamma ^ { p ^ { n } }$ ; confidence 0.519
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014041.png ; $\sqrt { 3 }$ ; confidence 1.000
+
91. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140112.png ; $t \in Q$ ; confidence 0.519
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018045.png ; $\Omega D C$ ; confidence 0.074
+
92. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110200.png ; $C _ { \delta } = \{ z : | \operatorname { Im } z | < \delta ( | \operatorname { Re } _ { z | } + 1 ) \}$ ; confidence 0.519
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020081.png ; $p _ { j } ( T )$ ; confidence 0.596
+
93. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080145.png ; $\Sigma _ { g }$ ; confidence 0.519
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020090.png ; $P ( T ) \in J$ ; confidence 0.997
+
94. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m1302007.png ; $\mathfrak { X } ( M , P )$ ; confidence 0.519
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026014.png ; $\zeta ( 3 )$ ; confidence 0.927
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023092.png ; $F = \operatorname { diag } \{ f _ { 0 } , \dots , f _ { n - 1 } \}$ ; confidence 0.519
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026016.png ; $\zeta ( 5 )$ ; confidence 0.746
+
96. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019074.png ; $\omega ^ { x } \neq \omega$ ; confidence 0.519
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024012.png ; $d f \nmid f$ ; confidence 0.937
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062090.png ; $\mu _ { 0 }$ ; confidence 0.519
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a1202407.png ; $v _ { p } ( f )$ ; confidence 0.964
+
98. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290177.png ; $a _ { 1 } ^ { n _ { 1 } } , \dots , a _ { d } ^ { n _ { d } }$ ; confidence 0.519
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025033.png ; $k \geq n + 1$ ; confidence 0.908
+
99. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040100/f0401005.png ; $x \in R ^ { 4 }$ ; confidence 0.519
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a1202508.png ; $k \leq q + 2$ ; confidence 0.996
+
100. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030090/d0300909.png ; $P _ { \nu } + R _ { \nu } = 0 , \quad \nu = 1,2 , \dots ,$ ; confidence 0.519
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025010.png ; $k \leq q + 1$ ; confidence 0.989
+
101. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h1300707.png ; $[ k ^ { p } ( a _ { 1 } , \dots , a _ { s } ) : k ^ { p } ] = p ^ { s }$ ; confidence 0.519
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025040.png ; $k \geq n + 4$ ; confidence 0.979
+
102. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211062.png ; $\mu _ { 1 } , \dots , \mu _ { m }$ ; confidence 0.519
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027048.png ; $( 1 \vee f )$ ; confidence 0.312
+
103. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c1203101.png ; $Q _ { N } ( f ) = \sum _ { i = 1 } ^ { n } c _ { i } f ( x _ { i } )$ ; confidence 0.518
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027078.png ; $r _ { P } ( a )$ ; confidence 0.691
+
104. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170193.png ; $\tau \notin Wh ^ { * } ( \pi )$ ; confidence 0.518
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027084.png ; $\{ \pm 1 \}$ ; confidence 0.999
+
105. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003086.png ; $Q ( \zeta ( p ) )$ ; confidence 0.518
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028024.png ; $p _ { U } ( x )$ ; confidence 0.219
+
106. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005048.png ; $D \otimes D = R [ x , y ] / \langle x ^ { 2 } , y ^ { 2 } \rangle$ ; confidence 0.518
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280133.png ; $M ^ { U } ( E )$ ; confidence 0.993
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501020.png ; $j r : B O _ { r } \rightarrow B O _ { r } + 1$ ; confidence 0.518
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028032.png ; $k _ { Y } ( z )$ ; confidence 0.178
+
108. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007016.png ; $( \vec { n } \cdot \nabla \phi ) = U \vec { n } \vec { x }$ ; confidence 0.518
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110670/a11067024.png ; $L ^ { 1 } ( G )$ ; confidence 0.995
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009030.png ; $\frac { d C _ { j } } { d x } ( x _ { k } ) = \left\{ \begin{array} { l l } { \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = 0 } \\ { - \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = N } \\ { - \frac { x _ { j } } { 2 ( 1 - x _ { j } ^ { 2 } ) } } & { \text { for } j = k , 0 < j < N } \\ { ( - 1 ) ^ { j + k } \frac { \tau _ { k } } { \tau _ { j } ( x _ { k } - x _ { j } ) } } & { \text { for } j \neq k } \end{array} \right.$ ; confidence 0.518
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030094.png ; $I ^ { 1 } ( G )$ ; confidence 0.380
+
110. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013012.png ; $( 1 + \sqrt { 5 } ) / 2$ ; confidence 0.518
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031094.png ; $\sqrt { P }$ ; confidence 0.790
+
111. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051048.png ; $x +$ ; confidence 0.518
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032059.png ; $\theta = q$ ; confidence 0.817
+
112. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004073.png ; $a _ { k } ( z ) \neq 0$ ; confidence 0.518
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032034.png ; $S _ { n } = - j$ ; confidence 0.551
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093017.png ; $< 1$ ; confidence 0.518
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032057.png ; $\theta = p$ ; confidence 0.950
+
114. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110216.png ; $m ( X ) \leq C ( 1 + G _ { X } ^ { \sigma } ( X - Y ) ) ^ { N } m ( Y )$ ; confidence 0.518
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032052.png ; $E ( N ) = 4 JK$ ; confidence 0.655
+
115. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070142.png ; $G _ { q } , U _ { q } ( \mathfrak { g } )$ ; confidence 0.518
  
116. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501036.png ; $( B , \phi )$ ; confidence 0.999
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018024.png ; $y ^ { 1 } , \dots , y ^ { q }$ ; confidence 0.518
  
117. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501024.png ; $\{ \xi , \}$ ; confidence 0.797
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050149.png ; $= \prod _ { p \in P } ( 1 + | p | ^ { - z } + | p | ^ { - 2 z } + \ldots ) =$ ; confidence 0.517
  
118. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b1201002.png ; $F _ { N } ( t )$ ; confidence 0.438
+
118. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019030.png ; $f _ { 0 } , f _ { 1 } , \dots$ ; confidence 0.517
  
119. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010044.png ; $S ^ { N } ( t )$ ; confidence 0.366
+
119. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006029.png ; $P _ { E }$ ; confidence 0.517
  
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021040.png ; $X \in U ( a )$ ; confidence 0.802
+
120. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021025.png ; $w _ { L _ { - } } = w _ { L _ { + } } * w _ { L _ { 0 } }$ ; confidence 0.517
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066070.png ; $T ^ { * } ( 1 )$ ; confidence 0.989
+
121. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c1202103.png ; $A _ { N } \in A _ { N }$ ; confidence 0.517
  
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066024.png ; $p < \infty$ ; confidence 0.999
+
122. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001049.png ; $F \subset P ^ { n - 1 }$ ; confidence 0.517
  
123. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066087.png ; $g \in B MOA$ ; confidence 0.429
+
123. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120030/y1200308.png ; $^ { * } F _ { A } = - F _ { A }$ ; confidence 0.517
  
124. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002049.png ; $( B u , u ) < 0$ ; confidence 0.995
+
124. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064031.png ; $( a - z )$ ; confidence 0.517
  
125. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002055.png ; $b ( u , u ) > 0$ ; confidence 0.999
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032038.png ; $S _ { 1 } , S _ { 2 } , \ldots$ ; confidence 0.517
  
126. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002034.png ; $U \times V$ ; confidence 0.952
+
126. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021046.png ; $( s , \dots , s , B _ { m } )$ ; confidence 0.517
  
127. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002014.png ; $U \equiv V$ ; confidence 0.985
+
127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210116.png ; $P _ { x , \theta _ { n } }$ ; confidence 0.517
  
128. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002057.png ; $b ( u , u ) < 0$ ; confidence 0.999
+
128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005052.png ; $f : R ^ { m } \rightarrow R$ ; confidence 0.517
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002047.png ; $( B u , u ) > 0$ ; confidence 0.996
+
129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302103.png ; $x = [ a , b ]$ ; confidence 0.517
  
130. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003048.png ; $L ^ { 2 } ( R )$ ; confidence 0.992
+
130. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005046.png ; $Y ( 1 , x ) = 1$ ; confidence 0.517
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002079.png ; $H _ { 3 } ( O )$ ; confidence 0.602
+
131. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002070.png ; $> N$ ; confidence 0.517
  
132. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005024.png ; $E = \infty$ ; confidence 0.965
+
132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030038.png ; $\mu z$ ; confidence 0.517
  
133. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005028.png ; $H _ { b } ( U )$ ; confidence 0.915
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102407.png ; $j = 0 , \dots , n$ ; confidence 0.517
  
134. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006010.png ; $100 = 1121$ ; confidence 0.053
+
134. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090127.png ; $\mu _ { p } ( K / \dot { k } ) = \mu ( X )$ ; confidence 0.517
  
135. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b1300605.png ; $x \equiv 0$ ; confidence 0.460
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008041.png ; $v = d u f d t$ ; confidence 0.516
  
136. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006068.png ; $V ^ { H } V = I$ ; confidence 0.947
+
136. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040028.png ; $G \times F$ ; confidence 0.516
  
137. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007036.png ; $i , j \geq 0$ ; confidence 0.987
+
137. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008027.png ; $\operatorname { max } \{ | x | , | y | , p _ { 1 } ^ { z _ { 1 } } \ldots p _ { s } ^ { z _ { s } } \}$ ; confidence 0.516
  
138. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007015.png ; $\pi ( m )$ ; confidence 0.999
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023010.png ; $P _ { U } + V$ ; confidence 0.516
  
139. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b1300707.png ; $m | = | n | = 1$ ; confidence 0.956
+
139. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170233.png ; $T _ { P }$ ; confidence 0.516
  
140. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007079.png ; $m | \neq | n$ ; confidence 0.943
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018059.png ; $g = E d x \otimes d x +$ ; confidence 0.516
  
141. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009075.png ; $B ( \beta )$ ; confidence 0.998
+
141. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083360/s0833602.png ; $J _ { n } ( z ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \pi } \operatorname { cos } ( n \theta - z \operatorname { sin } \theta ) d \theta +$ ; confidence 0.516
  
142. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009025.png ; $f ( z , 1 ) = z$ ; confidence 1.000
+
142. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008014.png ; $X ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 2 } ^ { \prime } = L _ { 2 } ^ { \prime } \cap L _ { 3 } ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 3 } ^ { \prime }$ ; confidence 0.516
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009019.png ; $| k ( t ) | = 1$ ; confidence 0.953
+
143. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180103.png ; $\mu ( U , V ) = ( - 1 ) ^ { d } q ^ { d ( d - 1 ) / 2 }$ ; confidence 0.516
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018051.png ; $\alpha = 0$ ; confidence 0.995
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022041.png ; $x _ { 1 } \leq x \leq x _ { m }$ ; confidence 0.516
  
145. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220246.png ; $J ^ { i } ( X )$ ; confidence 0.727
+
145. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300408.png ; $j = 1,2 , \dots$ ; confidence 0.516
  
146. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022011.png ; $H _ { l } ( X )$ ; confidence 0.602
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293026.png ; $x _ { y y }$ ; confidence 0.516
  
147. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220171.png ; $B ^ { m } ( X )$ ; confidence 0.405
+
147. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001019.png ; $F _ { q } [ x ]$ ; confidence 0.516
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102206.png ; $K _ { i } ( X )$ ; confidence 0.900
+
148. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006043.png ; $( x ) = \{ y : y < p \text { zfor allz } \in \operatorname { Succ } ( x ) \}$ ; confidence 0.516
  
149. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022075.png ; $i ^ { 2 } = - 1$ ; confidence 1.000
+
149. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
  
150. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102208.png ; $H _ { B } ( X )$ ; confidence 0.735
+
150. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d1202909.png ; $\sum _ { q = 1 } ^ { \infty } \varphi ( q ) f ( q )$ ; confidence 0.516
  
151. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022048.png ; $23 ^ { n + 5 }$ ; confidence 0.127
+
151. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012052.png ; $j = 1 , \dots , m - 1$ ; confidence 0.516
  
152. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220106.png ; $m \leq i / 2$ ; confidence 0.986
+
152. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015710/b01571021.png ; $k = 0 , \dots , n$ ; confidence 0.516
  
153. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009038.png ; $L ^ { 1 } ( R )$ ; confidence 0.989
+
153. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012032.png ; $\operatorname { log } L ( \theta | Y _ { aug } )$ ; confidence 0.516
  
154. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120120/b1201203.png ; $B _ { r } ( 0 )$ ; confidence 0.674
+
154. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003018.png ; $S q ^ { 0 } = Id$ ; confidence 0.516
  
155. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013021.png ; $L ^ { p } ( G )$ ; confidence 0.979
+
155. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001081.png ; $\operatorname { log } _ { \mu } 0 = \infty$ ; confidence 0.516
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013013.png ; $k _ { z } ( w )$ ; confidence 0.823
+
156. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015043.png ; $B _ { j k } ^ { i }$ ; confidence 0.516
  
157. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014042.png ; $s _ { i } ( z )$ ; confidence 0.496
+
157. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011033.png ; $G _ { n } ( f ( k , n ) ) = \operatorname { max } \{ k ^ { \prime } : f _ { ( k ^ { \prime } , n ) } = f ( k , n ) \}$ ; confidence 0.516
  
158. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014043.png ; $t _ { i } ( z )$ ; confidence 0.870
+
158. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004015.png ; $\operatorname { inf } _ { x \in A } I ( u )$ ; confidence 0.516
  
159. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150146.png ; $n > \delta$ ; confidence 0.872
+
159. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g1200508.png ; $\subset R ^ { m }$ ; confidence 0.515
  
160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150103.png ; $B ( n , 1 / 2 )$ ; confidence 1.000
+
160. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002034.png ; $\varphi _ { 2 } + i \overline { \varphi } _ { 2 }$ ; confidence 0.515
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277
+
161. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008088.png ; $\Delta ( z _ { 1 } , z _ { 2 } ) = \operatorname { det } \left[ \begin{array} { c c } { E _ { 1 } z _ { 1 } - A _ { 1 } } & { E _ { 2 } z _ { 2 } - A _ { 2 } } \\ { E _ { 3 } z _ { 1 } - A _ { 3 } } & { E _ { 4 } z _ { 2 } - A 4 } \end{array} \right] =$ ; confidence 0.515
  
162. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100205.png ; $\alpha > 0$ ; confidence 0.897
+
162. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006033.png ; $\langle \lambda | G ( z ) \phi ) = \frac { 1 } { z - \lambda } \langle \lambda | V \phi ) ( \phi , G ( z ) \phi )$ ; confidence 0.515
  
163. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012048.png ; $- \pi , \pi$ ; confidence 0.589
+
163. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008018.png ; $- \mathfrak { c } _ { 1 } + \mathfrak { c } _ { 3 } d ^ { \nu } \operatorname { log } ( \rho / | \omega | )$ ; confidence 0.515
  
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022046.png ; $M ( u , \xi )$ ; confidence 0.991
+
164. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005023.png ; $R = Dbx _ { f }$ ; confidence 0.515
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022090.png ; $a ( \xi ) = v$ ; confidence 0.713
+
165. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015013.png ; $\left( \begin{array} { c c c } { x _ { 11 } } & { \dots } & { x _ { 1 x } } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } } & { \dots } & { x _ { p x } } \end{array} \right)$ ; confidence 0.515
  
166. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022097.png ; $u ^ { n } ( x )$ ; confidence 0.771
+
166. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520331.png ; $\{ f _ { j _ { 1 } } , \dots , f _ { j _ { m } } \}$ ; confidence 0.515
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137037.png ; $f \in C ( X )$ ; confidence 0.982
+
167. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029019.png ; $T _ { prod } \times T _ { m }$ ; confidence 0.515
  
168. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017038.png ; $\phi _ { t }$ ; confidence 0.621
+
168. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007095.png ; $f ( X ^ { \prime } , X ^ { \prime } Y ^ { \prime } ) = X ^ { \prime d } f ^ { \prime } ( X ^ { \prime } , Y ^ { \prime } )$ ; confidence 0.515
  
169. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030067.png ; $( \eta , Y )$ ; confidence 0.991
+
169. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012073.png ; $\Delta _ { \varepsilon } ( t ) = ( 1 - | t | / \varepsilon ) _ { + }$ ; confidence 0.515
  
170. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031040.png ; $\delta = 0$ ; confidence 0.994
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $( 1 )$ ; confidence 0.515
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a0116208.png ; $p = \infty$ ; confidence 0.951
+
171. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515
  
172. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032063.png ; $t \leq \pi$ ; confidence 0.520
+
172. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014080.png ; $D \subset C ^ { x }$ ; confidence 0.515
  
173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032017.png ; $| x | | = \| u$ ; confidence 0.663
+
173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120290/b12029014.png ; $\varepsilon _ { X } ^ { A } ( s ) = \hat { R } _ { s } ^ { A } ( x )$ ; confidence 0.515
  
174. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032057.png ; $F ( 0 , t ) = t$ ; confidence 1.000
+
174. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021073.png ; $d P _ { n } ^ { \prime } / d P$ ; confidence 0.515
  
175. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032079.png ; $s , t \geq 0$ ; confidence 0.995
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027062.png ; $z \geq N$ ; confidence 0.515
  
176. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034079.png ; $f \in H ( M )$ ; confidence 0.990
+
176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008032.png ; $\Delta \in C ^ { n \times n }$ ; confidence 0.515
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034028.png ; $B _ { N } ( D )$ ; confidence 0.837
+
177. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060145.png ; $q ( x ) \equiv 0$ ; confidence 0.515
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036010.png ; $E \hat { i }$ ; confidence 0.078
+
178. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211034.png ; $\tau \rightarrow \infty$ ; confidence 0.515
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018047.png ; $\zeta ( s )$ ; confidence 0.996
+
179. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026021.png ; $( T , \phi )$ ; confidence 0.515
  
180. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020050.png ; $a _ { i i } = 0$ ; confidence 0.342
+
180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006071.png ; $E _ { atom } ^ { TF } ( N _ { j } , Z _ { j } )$ ; confidence 0.515
  
181. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020059.png ; $h _ { i j } = 0$ ; confidence 0.519
+
181. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e1300204.png ; $( c ^ { \infty } ( \Omega ) ) ^ { N }$ ; confidence 0.515
  
182. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040028.png ; $G \times F$ ; confidence 0.516
+
182. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004071.png ; $K ( s _ { r } )$ ; confidence 0.515
  
183. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021033.png ; $g = g _ { x x }$ ; confidence 0.551
+
183. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548012.png ; $\Rightarrow , -$ ; confidence 0.515
  
184. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430139.png ; $B \times H$ ; confidence 0.968
+
184. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014022.png ; $k \in L ^ { 1 } ( R )$ ; confidence 0.515
  
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043066.png ; $S _ { y } = - y$ ; confidence 0.792
+
185. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009035.png ; $U _ { N } ^ { ( k ) } ( x )$ ; confidence 0.514
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046047.png ; $\chi _ { f }$ ; confidence 0.279
+
186. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017022.png ; $R = \{ r _ { 1 } , \dots , r _ { m } \}$ ; confidence 0.514
  
187. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046015.png ; $C _ { G } ( x )$ ; confidence 0.923
+
187. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051075.png ; $j \in \{ 1 , \dots , m \}$ ; confidence 0.514
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026019.png ; $d [ f , M , N ]$ ; confidence 0.995
+
188. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012085.png ; $g b = q \dot { b }$ ; confidence 0.514
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027014.png ; $S ^ { * } S = 1$ ; confidence 0.973
+
189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017024.png ; $K ^ { 2 } \swarrow L ^ { 3 } \searrow pt$ ; confidence 0.514
  
190. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027053.png ; $K _ { 1 } ( X )$ ; confidence 0.793
+
190. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006019.png ; $P = ( X _ { P } , < _ { P } )$ ; confidence 0.514
  
191. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028047.png ; $[ T ( n ) , X ]$ ; confidence 1.000
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510128.png ; $v \in F ( u )$ ; confidence 0.514
  
192. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052083.png ; $O ( N _ { n } )$ ; confidence 0.674
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002011.png ; $53$ ; confidence 0.514
  
193. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052080.png ; $F ( x _ { x } )$ ; confidence 0.736
+
193. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290186.png ; $R ( I )$ ; confidence 0.514
  
194. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052059.png ; $B + u v ^ { T }$ ; confidence 0.925
+
194. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026058.png ; $0 \leq i \leq J$ ; confidence 0.514
  
195. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110580/b11058034.png ; $E \times R$ ; confidence 0.937
+
195. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022060.png ; $Z ( a g a ^ { - 1 } , a h a ^ { - 1 } ; z ) = Z ( g , h ; z )$ ; confidence 0.514
  
196. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013610/a0136102.png ; $( x , f ( x ) )$ ; confidence 0.997
+
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009048.png ; $f ( z , \tau ) / \tau$ ; confidence 0.514
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029044.png ; $I ( A ) = d - 1$ ; confidence 0.992
+
197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b1300608.png ; $\| x + y \| \leq \| x \| + \| y \|$ ; confidence 0.514
  
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290128.png ; $R ( q ^ { N } )$ ; confidence 0.483
+
198. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004097.png ; $f = \int _ { \partial D } f \wedge K _ { Y } - \overline { \partial _ { z } } \int f \wedge K _ { Y - 1 } + \int _ { D } \overline { \partial } f \wedge K _ { Y }$ ; confidence 0.514
  
199. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b11104010.png ; $p \hat { k }$ ; confidence 0.917
+
199. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019037.png ; $N ^ { \prime } / L ^ { \prime }$ ; confidence 0.514
  
200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030025.png ; $| B ( m , 2 ) |$ ; confidence 0.995
+
200. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s12030010.png ; $X ^ { G } \rightarrow X ^ { h G }$ ; confidence 0.514
  
201. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300125.png ; $B ( m , n , i )$ ; confidence 0.999
+
201. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180153.png ; $\gamma : E * \rightarrow E$ ; confidence 0.514
  
202. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030064.png ; $\geq 4381$ ; confidence 1.000
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006032.png ; $\Lambda = \operatorname { diag } \{ \lambda _ { 1 } , \ldots , \lambda _ { n } \}$ ; confidence 0.514
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030033.png ; $| B ( m , 3 ) |$ ; confidence 0.964
+
203. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003031.png ; $K ( \Omega ) = \int _ { \lambda \cap \Omega \neq \phi } d \omega ( \lambda )$ ; confidence 0.514
  
204. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055049.png ; $\iota ( M )$ ; confidence 0.567
+
204. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066034.png ; $B M O$ ; confidence 0.514
  
205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055061.png ; $t \in f ( M )$ ; confidence 0.999
+
205. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001025.png ; $x \mapsto x ^ { q }$ ; confidence 0.514
  
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001053.png ; $E \times C$ ; confidence 0.995
+
206. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120200/f12020020.png ; $v _ { x } + 1 = A v _ { x }$ ; confidence 0.514
  
207. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010132.png ; $A ( E ^ { * } )$ ; confidence 0.999
+
207. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f1302106.png ; $L _ { C } ^ { 1 } ( G )$ ; confidence 0.513
  
208. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001069.png ; $E = E ^ { * * }$ ; confidence 0.646
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008032.png ; $( L _ { , w } ^ { H } , w ^ { H } )$ ; confidence 0.513
  
209. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002032.png ; $T _ { \mu } f$ ; confidence 0.998
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030073.png ; $I ( \theta )$ ; confidence 0.513
  
210. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003044.png ; $J \times G$ ; confidence 0.418
+
210. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027013.png ; $p _ { m } ^ { \alpha , \beta }$ ; confidence 0.513
  
211. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003020.png ; $1 \times 6$ ; confidence 0.789
+
211. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015063.png ; $\frac { \Gamma _ { p } [ \frac { ( n + m + p - 1 ) } { 2 } ] } { \pi ^ { m p / 2 } \Gamma _ { p } ( ( n + p - 1 ) / 2 ) } | \Sigma | ^ { - m / 2 } | \Omega | ^ { - p / 2 } \times$ ; confidence 0.513
  
212. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004014.png ; $H ^ { 1 } ( D )$ ; confidence 0.998
+
212. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130104.png ; $a \in Z ^ { x }$ ; confidence 0.513
  
213. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004018.png ; $M = \Gamma$ ; confidence 0.999
+
213. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060124.png ; $H _ { g }$ ; confidence 0.513
  
214. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120050/c12005018.png ; $H ^ { p } ( T )$ ; confidence 0.989
+
214. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210114.png ; $H ^ { i } ( a , M )$ ; confidence 0.513
  
215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007040.png ; $_ { A } ^ { C }$ ; confidence 0.415
+
215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
  
216. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008062.png ; $P _ { N } ( C )$ ; confidence 0.464
+
216. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006095.png ; $\xi ( f g ) = \xi ( f ) g + f . \xi ( g ) + \xi ( f ) . \xi ( g )$ ; confidence 0.513
  
217. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008074.png ; $i , j \in Z +$ ; confidence 0.940
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027038.png ; $Q _ { n } y = \sum _ { i = 1 } ^ { n } ( y , \psi _ { i } ) \psi _ { i }$ ; confidence 0.513
  
218. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
218. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003037.png ; $e _ { j } ^ { * } e _ { k } = \sum _ { l = 1 } ^ { 8 } ( \sqrt { 3 } d _ { j k l } - f _ { j k l } ) e _ { l }$ ; confidence 0.513
  
219. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005033.png ; $G \cap H = 1$ ; confidence 0.599
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011048.png ; $73$ ; confidence 0.513
  
220. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005047.png ; $\Gamma = G$ ; confidence 0.993
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029037.png ; $A = B / ( X _ { 1 } , \dots , X _ { d } ) \cap ( Y _ { 1 } , \dots , Y _ { d } )$ ; confidence 0.513
  
221. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070202.png ; $\tau \in T$ ; confidence 0.702
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026012.png ; $\phi ; \subset K$ ; confidence 0.513
  
222. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070162.png ; $r ( 0,0 ) = 0$ ; confidence 1.000
+
222. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001012.png ; $u ^ { \prime }$ ; confidence 0.513
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070150.png ; $4 a ^ { - 3 } v$ ; confidence 0.060
+
223. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663094.png ; $v _ { i } > 0$ ; confidence 0.513
  
224. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070222.png ; $k ( C _ { i } )$ ; confidence 0.867
+
224. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015037.png ; $f _ { Y } ( Y )$ ; confidence 0.513
  
225. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007072.png ; $d ( d - 1 ) / 2$ ; confidence 0.992
+
225. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008019.png ; $[ L : K ] = d . e . f g$ ; confidence 0.512
  
226. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c1300703.png ; $f ( X , Y ) = 0$ ; confidence 1.000
+
226. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025057.png ; $\rho _ { \varepsilon }$ ; confidence 0.512
  
227. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008033.png ; $N _ { A } ( x )$ ; confidence 0.818
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026075.png ; $y _ { i }$ ; confidence 0.512
  
228. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c1300909.png ; $T _ { N } ( x )$ ; confidence 0.991
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a1202708.png ; $\rho : \operatorname { Gal } ( N / K ) \rightarrow G l _ { n } ( C )$ ; confidence 0.512
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009032.png ; $O ( N ^ { 2 } )$ ; confidence 0.994
+
229. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015021.png ; $\hat { \chi } K$ ; confidence 0.512
  
230. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015950/b01595034.png ; $\chi ^ { 2 }$ ; confidence 0.720
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016019.png ; $U$ ; confidence 0.512
  
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016012.png ; $A = R ^ { T } R$ ; confidence 1.000
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200304.png ; $J = [ \alpha , b ] \subset R$ ; confidence 0.512
  
232. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c1201606.png ; $A = X ^ { T } X$ ; confidence 0.999
+
232. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029089.png ; $m = 1,2 , \dots$ ; confidence 0.512
  
233. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327028.png ; $r ( A ) < | A |$ ; confidence 0.999
+
233. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900145.png ; $Z = \cup _ { p = 1 } ^ { N _ { 0 } } Z _ { p }$ ; confidence 0.512
  
234. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170107.png ; $C [ z , z ] / N$ ; confidence 0.282
+
234. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302804.png ; $\operatorname { lim } _ { x \rightarrow \infty } [ a _ { 0 } + \frac { n } { n + 1 } a _ { 1 } + \frac { n ( n - 1 ) } { ( n + 1 ) ( n + 2 ) } a _ { 2 }$ ; confidence 0.512
  
235. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170133.png ; $M ( n + k + 1 )$ ; confidence 0.978
+
235. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080117.png ; $\sum _ { i = 0 } ^ { r _ { 1 } } \sum _ { i = 0 } ^ { r _ { 2 } } a _ { i j } T _ { i j } = 0$ ; confidence 0.512
  
236. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170171.png ; $M _ { p } ( n )$ ; confidence 0.982
+
236. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120060/n12006032.png ; $T T$ ; confidence 0.512
  
237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170142.png ; $p ( Z , Z ) = 0$ ; confidence 0.998
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016080.png ; $y _ { i } = \Delta \text { sales } = ( \frac { c _ { 1 } } { 1 - \lambda } ) \frac { I } { k } ( \text { in market } i )$ ; confidence 0.512
  
238. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170100.png ; $M ( n + k + 1 )$ ; confidence 0.604
+
238. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090105.png ; $\{ g _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.512
  
239. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160106.png ; $f ( w ) \in B$ ; confidence 0.999
+
239. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020130.png ; $F ^ { * } = p ^ { * } - 1 q ^ { * }$ ; confidence 0.512
  
240. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c1301609.png ; $w \notin S$ ; confidence 0.850
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040586.png ; $Fm _ { F }$ ; confidence 0.512
  
241. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016098.png ; $f \in F ( L )$ ; confidence 0.998
+
241. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014045.png ; $s _ { i } ( z ) \alpha ( z ) \equiv r _ { i } ( z ) ( \operatorname { mod } b ( z ) )$ ; confidence 0.512
  
242. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180495.png ; $= \hat { N }$ ; confidence 0.576
+
242. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140101.png ; $\operatorname { det } \| \frac { 1 } { b _ { j } ^ { l } } \| \neq 0$ ; confidence 0.511
  
243. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018077.png ; $\rho = u + v$ ; confidence 0.986
+
243. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110310/c11031012.png ; $X _ { \lambda }$ ; confidence 0.511
  
244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180170.png ; $8 ^ { r + 2 } E$ ; confidence 0.146
+
244. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004038.png ; $N = \frac { 1 } { | g | ^ { 2 } + 1 } ( 2 \operatorname { Re } g , 2 \operatorname { Im } g , | g | ^ { 2 } - 1 )$ ; confidence 0.511
  
245. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180211.png ; $\tau _ { V }$ ; confidence 0.186
+
245. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002058.png ; $q \in N$ ; confidence 0.511
  
246. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180152.png ; $\gamma$ ; confidence 0.764
+
246. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021028.png ; $M _ { 1 } , M _ { 2 } , \ldots$ ; confidence 0.511
  
247. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180445.png ; $k \geq n / 2$ ; confidence 0.982
+
247. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c023130157.png ; $t$ ; confidence 0.511
  
248. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180439.png ; $k = - 1 + n / 2$ ; confidence 0.795
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180422.png ; $\dot { k } = m + ( q _ { 1 } + \ldots + q _ { m } ) / 2$ ; confidence 0.511
  
249. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180203.png ; $0 < p \leq 4$ ; confidence 1.000
+
249. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007082.png ; $q \in L ^ { 2 } 0 ( R ^ { 3 } )$ ; confidence 0.511
  
250. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019021.png ; $L ^ { 2 } ( M )$ ; confidence 0.992
+
250. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180396.png ; $\operatorname { max } \{ q _ { 1 } + 2 , \ldots , q _ { m } + 2 \}$ ; confidence 0.511
  
251. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020047.png ; $k \leq n - 1$ ; confidence 0.891
+
251. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300164.png ; $D ( 2 n _ { 2 } )$ ; confidence 0.511
  
252. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021098.png ; $k \times k$ ; confidence 0.897
+
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031084.png ; $R S _ { R } ^ { ( n - 1 ) / 2 } f ( x ) = + \infty$ ; confidence 0.511
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018053.png ; $\sigma > 0$ ; confidence 0.999
+
253. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002071.png ; $R ^ { \prime } \subset R$ ; confidence 0.511
  
254. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583062.png ; $\{ T ( s ) \}$ ; confidence 1.000
+
254. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005048.png ; $\lambda = \operatorname { sup } \{ t \in Q : H + t ( K _ { X } + B ) \text { is } f$ ; confidence 0.511
  
255. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583071.png ; $i B _ { 0 }$ ; confidence 0.998
+
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015095.png ; $P _ { 0 }$ ; confidence 0.510
  
256. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130230/c1302302.png ; $\sim _ { c }$ ; confidence 0.179
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026046.png ; $y \cong \mathfrak { y }$ ; confidence 0.510
  
257. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025024.png ; $C ( \beta )$ ; confidence 0.921
+
257. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019034.png ; $j = 0 , \dots , N - 1$ ; confidence 0.510
  
258. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025028.png ; $z _ { t } ( t )$ ; confidence 0.362
+
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037024.png ; $g _ { 1 } , \ldots , g _ { k }$ ; confidence 0.510
  
259. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027019.png ; $\omega = 1$ ; confidence 0.976
+
259. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180281.png ; $a \in C ^ { \infty } ( M )$ ; confidence 0.510
  
260. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028049.png ; $\rho ( X * )$ ; confidence 0.845
+
260. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096490/v09649073.png ; $X ^ { * * }$ ; confidence 0.510
  
261. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028019.png ; $\pi X ^ { * }$ ; confidence 0.282
+
261. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e1201909.png ; $p + F _ { . v }$ ; confidence 0.510
  
262. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028066.png ; $K \times L$ ; confidence 0.711
+
262. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017045.png ; $y _ { i } + y$ ; confidence 0.510
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030048.png ; $n < \infty$ ; confidence 0.955
+
263. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049011.png ; $\frac { \nu _ { 2 } } { \nu _ { 2 } - 2 } \quad \text { for } \nu _ { 2 } > 2$ ; confidence 0.510
  
264. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030063.png ; $M _ { N } ( C )$ ; confidence 0.715
+
264. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003012.png ; $r ( z ) = p ( z ) \nmid q ( z )$ ; confidence 0.510
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026021.png ; $( T , \phi )$ ; confidence 0.515
+
265. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008059.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { n } \alpha _ { i } , n - i A ^ { i } E ^ { n - i } = 0$ ; confidence 0.510
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031056.png ; $n ^ { - 1 / 2 }$ ; confidence 0.983
+
266. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202004.png ; $R = I - \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } L _ { \nu }$ ; confidence 0.510
  
267. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002014.png ; $g ( u _ { 1 } )$ ; confidence 0.583
+
267. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049055.png ; $m v$ ; confidence 0.510
  
268. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005056.png ; $f \in R ( f )$ ; confidence 0.997
+
268. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021047.png ; $a _ { N } / 2 + k$ ; confidence 0.510
  
269. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003010.png ; $\psi _ { N }$ ; confidence 0.851
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006092.png ; $G _ { q , k }$ ; confidence 0.510
  
270. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030330/d0303305.png ; $E ^ { p } ( M )$ ; confidence 0.972
+
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006020.png ; $T _ { A } U _ { i } = U _ { i } \times N ^ { m } \subset T _ { A } R ^ { m }$ ; confidence 0.510
  
271. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030330/d0303309.png ; $E ^ { * } ( M )$ ; confidence 0.999
+
271. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007037.png ; $M \leq N$ ; confidence 0.510
  
272. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d03024038.png ; $\alpha > r$ ; confidence 0.958
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510
  
273. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025019.png ; $p _ { k } ( x )$ ; confidence 0.888
+
273. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020046.png ; $\operatorname { span } \{ e _ { i } , f _ { i } , h _ { i i } \}$ ; confidence 0.510
  
274. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027011.png ; $E _ { m } ( f )$ ; confidence 0.969
+
274. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004024.png ; $| \eta _ { 1 } | \geq \ldots \geq | r _ { p } | > | r _ { p } + 1 | \geq \ldots \geq | r _ { n } |$ ; confidence 0.510
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046073.png ; $P _ { N } ( x )$ ; confidence 0.729
+
275. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180204.png ; $\tau _ { p } : \otimes ^ { 4 } E \rightarrow \otimes ^ { 4 } E$ ; confidence 0.510
  
276. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008018.png ; $d = d ( w | v )$ ; confidence 0.994
+
276. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003013.png ; $K \subset G$ ; confidence 0.510
  
277. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008044.png ; $d ( w | v ) = 1$ ; confidence 0.993
+
277. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840214.png ; $x \in X$ ; confidence 0.510
  
278. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006025.png ; $m ( \Xi ) = 1$ ; confidence 0.945
+
278. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016016.png ; $\int ( R _ { k } + \frac { 1 } { 2 } f ^ { - 2 } h ^ { \alpha \beta } \partial _ { \alpha } E \partial _ { \beta } \overline { E } ) d \mu _ { R }$ ; confidence 0.509
  
279. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011026.png ; $( x _ { i j } )$ ; confidence 0.682
+
279. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025020.png ; $E _ { n + 1 } ( x ) = T _ { n + 1 } ( x )$ ; confidence 0.509
  
280. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011022.png ; $( G , \| \| )$ ; confidence 0.948
+
280. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060167.png ; $| F ( 2 x ) | \leq c \sigma ( x ) , | A ( x , y ) | \leq c \sigma ( \frac { x + y } { 2 } )$ ; confidence 0.509
  
281. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011012.png ; $N \times N$ ; confidence 0.216
+
281. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002048.png ; $\mathfrak { c } _ { \mathfrak { g } } = \int _ { 0 } ^ { \infty } g ( t ) \operatorname { log } \frac { 1 } { t } d t$ ; confidence 0.509
  
282. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013043.png ; $H ^ { * } ( G )$ ; confidence 0.999
+
282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023029.png ; $\operatorname { ser } _ { k } \Omega ( M )$ ; confidence 0.509
  
283. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021900/c0219009.png ; $T _ { N } ( x )$ ; confidence 0.359
+
283. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007048.png ; $1 \in Z ( G / A )$ ; confidence 0.509
  
284. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100184.png ; $\sqrt { n }$ ; confidence 1.000
+
284. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m1302308.png ; $Z = \sum _ { i = 1 } ^ { t } r _ { i } C _ { j }$ ; confidence 0.509
  
285. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016056.png ; $k , 1 \geq 1$ ; confidence 0.991
+
285. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010032.png ; $\int _ { A } f _ { 1 } d m \leq ( C ) \int _ { A } f$ ; confidence 0.509
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294070.png ; $\theta = 0$ ; confidence 0.997
+
286. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050034.png ; $Z _ { 0 } \cap [ 0 , t$ ; confidence 0.509
  
287. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013071.png ; $\psi _ { + }$ ; confidence 0.524
+
287. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013048.png ; $\omega : I \rightarrow X$ ; confidence 0.509
  
288. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013039.png ; $\Psi _ { + }$ ; confidence 0.971
+
288. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120040/e1200403.png ; $\nabla ^ { 2 } ( g ( ; t ) ^ { * } f ( . ) ) = 0$ ; confidence 0.509
  
289. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013074.png ; $\psi _ { - }$ ; confidence 0.671
+
289. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013052.png ; $T o p$ ; confidence 0.509
  
290. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018025.png ; $f \in A ( D )$ ; confidence 0.686
+
290. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300805.png ; $q _ { m } ( x ) \in L _ { 1,1 } ( R _ { + } ) : = \{ q : \int _ { 0 } ^ { \infty } x | q ( x ) | d x < \infty \}$ ; confidence 0.509
  
291. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018040.png ; $H ^ { p } ( m )$ ; confidence 0.985
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105024.png ; $O _ { S }$ ; confidence 0.509
  
292. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018087.png ; $R _ { \phi }$ ; confidence 0.649
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130102.png ; $pd _ { \Lambda } T = n < \infty$ ; confidence 0.509
  
293. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017035.png ; $| \Omega |$ ; confidence 0.999
+
293. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006022.png ; $T _ { A } : M f \rightarrow M f$ ; confidence 0.509
  
294. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020016.png ; $p _ { N } ( s )$ ; confidence 0.413
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023052.png ; $\frac { B _ { - } ( \delta + p - 1 ) / 2 ( \frac { 1 } { 4 } \Sigma T T ^ { \prime } ) } { \Gamma _ { p } [ \frac { 1 } { 2 } ( \delta + p - 1 ) ] }$ ; confidence 0.509
  
295. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412037.png ; $\sigma > 1$ ; confidence 1.000
+
295. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t1200509.png ; $d f _ { X } : T V _ { X } \rightarrow T W _ { f } ( X )$ ; confidence 0.509
  
296. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230141.png ; $O ( m ^ { 2 } )$ ; confidence 0.981
+
296. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110205.png ; $( q ; p _ { j } )$ ; confidence 0.508
  
297. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230134.png ; $R _ { 22 } = 0$ ; confidence 0.986
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001046.png ; $< C N ^ { ( n - 1 ) / 2 }$ ; confidence 0.508
  
298. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c11033034.png ; $O ( n ^ { 2 } )$ ; confidence 0.979
+
298. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018030.png ; $\varphi ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.508
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544045.png ; $3 \times 3$ ; confidence 1.000
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030055.png ; $P = I - \sum _ { i = 1 } ^ { n } S _ { i } S _ { i } ^ { * }$ ; confidence 0.508
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016010.png ; $O ( n ^ { 3 } )$ ; confidence 1.000
+
300. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520324.png ; $n , m = 0,1 , \dots ,$ ; confidence 0.508

Revision as of 00:10, 13 February 2020

List

1. d12024021.png ; $( U ( g ) )$ ; confidence 0.525

2. e12023047.png ; $z ( a ) = 0 = z ( b )$ ; confidence 0.524

3. q12003045.png ; $\psi = ( \text { id } \otimes \varphi ) \circ L : A \rightarrow \operatorname { Fun } _ { q } ( G )$ ; confidence 0.524

4. w12021055.png ; $B _ { m } = I _ { m }$ ; confidence 0.524

5. c12003029.png ; $h _ { K }$ ; confidence 0.524

6. i13001042.png ; $\overline { d } ( n ) ( A ) = \operatorname { per } ( A ) \geq \overline { d } _ { \lambda } ( A )$ ; confidence 0.524

7. d13013071.png ; $\psi _ { + }$ ; confidence 0.524

8. l12015025.png ; $w \in T V$ ; confidence 0.524

9. c12031018.png ; $n ( \epsilon , F _ { d } ) = \operatorname { min } \{ n : e _ { X } ( F _ { d } ) \leq \epsilon \}$ ; confidence 0.524

10. a11030024.png ; $\theta _ { X }$ ; confidence 0.524

11. w120090373.png ; $M = U _ { Z } v ^ { + }$ ; confidence 0.524

12. z1300409.png ; $[ n + 2 ]$ ; confidence 0.523

13. a120070121.png ; $\frac { d u } { d t } = A ( t , v ) u + f ( t , v ) , 0 < t \leq T , u ( 0 ) = u v$ ; confidence 0.523

14. e1300209.png ; $( \varphi _ { j } ) _ { j \in N }$ ; confidence 0.523

15. t12006073.png ; $Z = Z$ ; confidence 0.523

16. a120260102.png ; $X = ( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.523

17. f12023077.png ; $L _ { X } = [ i \chi , d ] = i \chi d + d i \chi$ ; confidence 0.523

18. f13019010.png ; $j = 0 , \ldots , 2 N - 1$ ; confidence 0.523

19. a1102803.png ; $u$ ; confidence 0.523

20. c12008031.png ; $= \Lambda ^ { m } + D _ { 1 } \Lambda ^ { m - 1 } + \ldots + D _ { m - 1 } \Lambda + D _ { m } , D _ { k } \in C ^ { n \times n } , k = 1 , \ldots , m$ ; confidence 0.523

21. b11004038.png ; $N _ { 2 } / N _ { 1 }$ ; confidence 0.523

22. f120110153.png ; $p f \subset K$ ; confidence 0.523

23. d12023074.png ; $R ^ { - 1 } - Z ^ { * } R ^ { - 1 } Z = \overline { H } \square ^ { * } J \overline { H }$ ; confidence 0.523

24. m130260228.png ; $Q ( A )$ ; confidence 0.523

25. m12003092.png ; $\sum _ { i = 1 } ^ { n } \eta ( \vec { x } _ { i } , r _ { i } ) \vec { x } _ { i } = \vec { 0 }$ ; confidence 0.523

26. z13001039.png ; $x ( z ) z ^ { x - 1 } = h ( z ) / g ( z )$ ; confidence 0.523

27. b130300141.png ; $D ( 2 n 1 ) \times D ( 2 n 2 ) ^ { 1 }$ ; confidence 0.523

28. l12012092.png ; $p \in P$ ; confidence 0.523

29. a12023044.png ; $\hat { D }$ ; confidence 0.522

30. a1300406.png ; $\lambda ^ { Fm } : Fm ^ { n } \rightarrow Fm$ ; confidence 0.522

31. w120090268.png ; $n _ { \beta }$ ; confidence 0.522

32. l12007016.png ; $\left( \begin{array} { c } { v _ { 1 } , t } \\ { \vdots } \\ { v _ { k , t } } \end{array} \right)$ ; confidence 0.522

33. l110020158.png ; $a , b \in G$ ; confidence 0.522

34. f13029049.png ; $\forall \{ u ; : j \in J \} \subset L ^ { X }$ ; confidence 0.522

35. s13048036.png ; $H _ { S } ^ { 0 } ( D ) = ker D$ ; confidence 0.522

36. d120020127.png ; $g ( \overline { u } _ { 1 } ) = c ^ { T } x ^ { ( l ) } + ( A _ { 1 } x ^ { ( l ) } - b _ { 1 } ) ^ { T } \overline { u }$ ; confidence 0.522

37. b13017011.png ; $T > t$ ; confidence 0.522

38. a13014023.png ; $n = 1 , \infty$ ; confidence 0.522

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

40. b12010034.png ; $F _ { S } ( t , x _ { 1 } , \ldots , x _ { S } ) =$ ; confidence 0.522

41. w12011045.png ; $= \int _ { R ^ { 2 n } } \hat { \alpha } ( \Xi ) \operatorname { exp } ( 2 i \pi \Xi M ) d \Xi$ ; confidence 0.522

42. a01209011.png ; $\alpha , b \in R$ ; confidence 0.522

43. b0153407.png ; $G ^ { \prime }$ ; confidence 0.522

44. q13005065.png ; $QS ( T )$ ; confidence 0.522

45. a12023052.png ; $\partial \Omega _ { Y }$ ; confidence 0.521

46. b017030110.png ; $\Omega ^ { x }$ ; confidence 0.521

47. p1102503.png ; $x ^ { 0 } \in R ^ { x }$ ; confidence 0.521

48. c12031036.png ; $\alpha _ { l } \leq \dot { k }$ ; confidence 0.521

49. j12002083.png ; $E | Y _ { \infty } - Y _ { T } | \leq cP [ T < \infty ]$ ; confidence 0.521

50. a012410136.png ; $U _ { 1 }$ ; confidence 0.521

51. z13010030.png ; $\forall x \forall y ( \forall z ( z \in x \leftrightarrow z \in y ) \rightarrow x = y )$ ; confidence 0.521

52. i120080106.png ; $T _ { c } = 2 J / k _ { S }$ ; confidence 0.521

53. a13029017.png ; $10$ ; confidence 0.521

54. w1201909.png ; $f _ { W Y }$ ; confidence 0.521

55. b13026067.png ; $f : \overline { \Omega } \rightarrow R ^ { n }$ ; confidence 0.521

56. s12028027.png ; $\{ \ldots \}$ ; confidence 0.521

57. b12044069.png ; $\{ g ; \}$ ; confidence 0.521

58. m13001035.png ; $P ( X _ { i } | \gamma _ { i } )$ ; confidence 0.521

59. q13002031.png ; $P ^ { \# } P$ ; confidence 0.521

60. b12021036.png ; $X _ { i } \in a$ ; confidence 0.521

61. l05700071.png ; $W \equiv \lambda x \cdot F ( x x )$ ; confidence 0.521

62. t12020080.png ; $R _ { n } < 1 - \operatorname { log } n / ( 3 n )$ ; confidence 0.520

63. s12016020.png ; $\| I _ { 1 } ( f ) - U ^ { i } ( f ) \| _ { 0 }$ ; confidence 0.520

64. a1301809.png ; $F _ { L } \subseteq Mod \times Fm$ ; confidence 0.520

65. f12019038.png ; $N$ ; confidence 0.520

66. b11066032.png ; $H f ( x ) = \operatorname { lim } _ { \epsilon } \lfloor 0 \int _ { | t | > \epsilon } f ( x - t ) / t d t$ ; confidence 0.520

67. f1202409.png ; $t \mapsto t + T$ ; confidence 0.520

68. m13022071.png ; $T$ ; confidence 0.520

69. a01055036.png ; $Z _ { p }$ ; confidence 0.520

70. i13009045.png ; $\varepsilon \mapsto ( \varepsilon , \ldots , \varepsilon )$ ; confidence 0.520

71. b12016055.png ; $x _ { i } ^ { \prime }$ ; confidence 0.520

72. b12032063.png ; $t \leq \pi$ ; confidence 0.520

73. a13030097.png ; $c ( K )$ ; confidence 0.520

74. h13012016.png ; $\| f ( x ) - \alpha ( x ) \| \leq \varepsilon$ ; confidence 0.520

75. l12013049.png ; $V ( Z _ { p } ) \neq \emptyset$ ; confidence 0.520

76. d11008040.png ; $v ^ { H }$ ; confidence 0.520

77. a01198064.png ; $i , j$ ; confidence 0.520

78. s120150132.png ; $\pi : X \rightarrow X / G$ ; confidence 0.520

79. k13006027.png ; $\alpha _ { k } = n$ ; confidence 0.520

80. b130200118.png ; $\alpha _ { j } ( D _ { i } ) = \delta _ { i j }$ ; confidence 0.519

81. a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519

82. a13027031.png ; $P$ ; confidence 0.519

83. c1202302.png ; $A _ { 0 } \subset R ^ { \gamma }$ ; confidence 0.519

84. j12002050.png ; $E B _ { S } B _ { t } = \operatorname { min } ( s , t )$ ; confidence 0.519

85. a13027083.png ; $Q _ { x } ^ { * } w \rightarrow w$ ; confidence 0.519

86. b13020059.png ; $h _ { i j } = 0$ ; confidence 0.519

87. a12005042.png ; $\lambda \in S _ { \theta _ { 0 } }$ ; confidence 0.519

88. b12027079.png ; $\sum m \underline { \square } _ { n } ( h ) h$ ; confidence 0.519

89. s12020037.png ; $\left( \begin{array} { c c c c } { 9 } & { 2 } & { 3 } & { 6 } \\ { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right) = \left( \begin{array} { c c c c } { 2 } & { 3 } & { 9 } & { 6 } \\ { 4 } & { 1 } & { 7 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right)$ ; confidence 0.519

90. i13009062.png ; $\Gamma ^ { p m } \mapsto \gamma \operatorname { mod } \Gamma ^ { p ^ { n } }$ ; confidence 0.519

91. t130140112.png ; $t \in Q$ ; confidence 0.519

92. f120110200.png ; $C _ { \delta } = \{ z : | \operatorname { Im } z | < \delta ( | \operatorname { Re } _ { z | } + 1 ) \}$ ; confidence 0.519

93. w130080145.png ; $\Sigma _ { g }$ ; confidence 0.519

94. m1302007.png ; $\mathfrak { X } ( M , P )$ ; confidence 0.519

95. d12023092.png ; $F = \operatorname { diag } \{ f _ { 0 } , \dots , f _ { n - 1 } \}$ ; confidence 0.519

96. f12019074.png ; $\omega ^ { x } \neq \omega$ ; confidence 0.519

97. s13062090.png ; $\mu _ { 0 }$ ; confidence 0.519

98. b130290177.png ; $a _ { 1 } ^ { n _ { 1 } } , \dots , a _ { d } ^ { n _ { d } }$ ; confidence 0.519

99. f0401005.png ; $x \in R ^ { 4 }$ ; confidence 0.519

100. d0300909.png ; $P _ { \nu } + R _ { \nu } = 0 , \quad \nu = 1,2 , \dots ,$ ; confidence 0.519

101. h1300707.png ; $[ k ^ { p } ( a _ { 1 } , \dots , a _ { s } ) : k ^ { p } ] = p ^ { s }$ ; confidence 0.519

102. c02211062.png ; $\mu _ { 1 } , \dots , \mu _ { m }$ ; confidence 0.519

103. c1203101.png ; $Q _ { N } ( f ) = \sum _ { i = 1 } ^ { n } c _ { i } f ( x _ { i } )$ ; confidence 0.518

104. l120170193.png ; $\tau \notin Wh ^ { * } ( \pi )$ ; confidence 0.518

105. e13003086.png ; $Q ( \zeta ( p ) )$ ; confidence 0.518

106. w12005048.png ; $D \otimes D = R [ x , y ] / \langle x ^ { 2 } , y ^ { 2 } \rangle$ ; confidence 0.518

107. b01501020.png ; $j r : B O _ { r } \rightarrow B O _ { r } + 1$ ; confidence 0.518

108. v13007016.png ; $( \vec { n } \cdot \nabla \phi ) = U \vec { n } \vec { x }$ ; confidence 0.518

109. c13009030.png ; $\frac { d C _ { j } } { d x } ( x _ { k } ) = \left\{ \begin{array} { l l } { \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = 0 } \\ { - \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = N } \\ { - \frac { x _ { j } } { 2 ( 1 - x _ { j } ^ { 2 } ) } } & { \text { for } j = k , 0 < j < N } \\ { ( - 1 ) ^ { j + k } \frac { \tau _ { k } } { \tau _ { j } ( x _ { k } - x _ { j } ) } } & { \text { for } j \neq k } \end{array} \right.$ ; confidence 0.518

110. p12013012.png ; $( 1 + \sqrt { 5 } ) / 2$ ; confidence 0.518

111. b12051048.png ; $x +$ ; confidence 0.518

112. j13004073.png ; $a _ { k } ( z ) \neq 0$ ; confidence 0.518

113. a01093017.png ; $< 1$ ; confidence 0.518

114. w120110216.png ; $m ( X ) \leq C ( 1 + G _ { X } ^ { \sigma } ( X - Y ) ) ^ { N } m ( Y )$ ; confidence 0.518

115. q120070142.png ; $G _ { q } , U _ { q } ( \mathfrak { g } )$ ; confidence 0.518

116. c12018024.png ; $y ^ { 1 } , \dots , y ^ { q }$ ; confidence 0.518

117. a130050149.png ; $= \prod _ { p \in P } ( 1 + | p | ^ { - z } + | p | ^ { - 2 z } + \ldots ) =$ ; confidence 0.517

118. m13019030.png ; $f _ { 0 } , f _ { 1 } , \dots$ ; confidence 0.517

119. o13006029.png ; $P _ { E }$ ; confidence 0.517

120. c13021025.png ; $w _ { L _ { - } } = w _ { L _ { + } } * w _ { L _ { 0 } }$ ; confidence 0.517

121. c1202103.png ; $A _ { N } \in A _ { N }$ ; confidence 0.517

122. c12001049.png ; $F \subset P ^ { n - 1 }$ ; confidence 0.517

123. y1200308.png ; $^ { * } F _ { A } = - F _ { A }$ ; confidence 0.517

124. s13064031.png ; $( a - z )$ ; confidence 0.517

125. a13032038.png ; $S _ { 1 } , S _ { 2 } , \ldots$ ; confidence 0.517

126. w12021046.png ; $( s , \dots , s , B _ { m } )$ ; confidence 0.517

127. c120210116.png ; $P _ { x , \theta _ { n } }$ ; confidence 0.517

128. w12005052.png ; $f : R ^ { m } \rightarrow R$ ; confidence 0.517

129. t1302103.png ; $x = [ a , b ]$ ; confidence 0.517

130. v13005046.png ; $Y ( 1 , x ) = 1$ ; confidence 0.517

131. h13002070.png ; $> N$ ; confidence 0.517

132. d12030038.png ; $\mu z$ ; confidence 0.517

133. a0102407.png ; $j = 0 , \dots , n$ ; confidence 0.517

134. i130090127.png ; $\mu _ { p } ( K / \dot { k } ) = \mu ( X )$ ; confidence 0.517

135. a12008041.png ; $v = d u f d t$ ; confidence 0.516

136. b12040028.png ; $G \times F$ ; confidence 0.516

137. t12008027.png ; $\operatorname { max } \{ | x | , | y | , p _ { 1 } ^ { z _ { 1 } } \ldots p _ { s } ^ { z _ { s } } \}$ ; confidence 0.516

138. a13023010.png ; $P _ { U } + V$ ; confidence 0.516

139. l120170233.png ; $T _ { P }$ ; confidence 0.516

140. c12018059.png ; $g = E d x \otimes d x +$ ; confidence 0.516

141. s0833602.png ; $J _ { n } ( z ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \pi } \operatorname { cos } ( n \theta - z \operatorname { sin } \theta ) d \theta +$ ; confidence 0.516

142. i13008014.png ; $X ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 2 } ^ { \prime } = L _ { 2 } ^ { \prime } \cap L _ { 3 } ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 3 } ^ { \prime }$ ; confidence 0.516

143. m130180103.png ; $\mu ( U , V ) = ( - 1 ) ^ { d } q ^ { d ( d - 1 ) / 2 }$ ; confidence 0.516

144. d11022041.png ; $x _ { 1 } \leq x \leq x _ { m }$ ; confidence 0.516

145. t1300408.png ; $j = 1,2 , \dots$ ; confidence 0.516

146. a01293026.png ; $x _ { y y }$ ; confidence 0.516

147. f13001019.png ; $F _ { q } [ x ]$ ; confidence 0.516

148. i12006043.png ; $( x ) = \{ y : y < p \text { zfor allz } \in \operatorname { Succ } ( x ) \}$ ; confidence 0.516

149. b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516

150. d1202909.png ; $\sum _ { q = 1 } ^ { \infty } \varphi ( q ) f ( q )$ ; confidence 0.516

151. d12012052.png ; $j = 1 , \dots , m - 1$ ; confidence 0.516

152. b01571021.png ; $k = 0 , \dots , n$ ; confidence 0.516

153. e12012032.png ; $\operatorname { log } L ( \theta | Y _ { aug } )$ ; confidence 0.516

154. l12003018.png ; $S q ^ { 0 } = Id$ ; confidence 0.516

155. g13001081.png ; $\operatorname { log } _ { \mu } 0 = \infty$ ; confidence 0.516

156. e12015043.png ; $B _ { j k } ^ { i }$ ; confidence 0.516

157. z13011033.png ; $G _ { n } ( f ( k , n ) ) = \operatorname { max } \{ k ^ { \prime } : f _ { ( k ^ { \prime } , n ) } = f ( k , n ) \}$ ; confidence 0.516

158. y12004015.png ; $\operatorname { inf } _ { x \in A } I ( u )$ ; confidence 0.516

159. g1200508.png ; $\subset R ^ { m }$ ; confidence 0.515

160. j12002034.png ; $\varphi _ { 2 } + i \overline { \varphi } _ { 2 }$ ; confidence 0.515

161. c12008088.png ; $\Delta ( z _ { 1 } , z _ { 2 } ) = \operatorname { det } \left[ \begin{array} { c c } { E _ { 1 } z _ { 1 } - A _ { 1 } } & { E _ { 2 } z _ { 2 } - A _ { 2 } } \\ { E _ { 3 } z _ { 1 } - A _ { 3 } } & { E _ { 4 } z _ { 2 } - A 4 } \end{array} \right] =$ ; confidence 0.515

162. l12006033.png ; $\langle \lambda | G ( z ) \phi ) = \frac { 1 } { z - \lambda } \langle \lambda | V \phi ) ( \phi , G ( z ) \phi )$ ; confidence 0.515

163. l13008018.png ; $- \mathfrak { c } _ { 1 } + \mathfrak { c } _ { 3 } d ^ { \nu } \operatorname { log } ( \rho / | \omega | )$ ; confidence 0.515

164. d12005023.png ; $R = Dbx _ { f }$ ; confidence 0.515

165. m12015013.png ; $\left( \begin{array} { c c c } { x _ { 11 } } & { \dots } & { x _ { 1 x } } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } } & { \dots } & { x _ { p x } } \end{array} \right)$ ; confidence 0.515

166. n067520331.png ; $\{ f _ { j _ { 1 } } , \dots , f _ { j _ { m } } \}$ ; confidence 0.515

167. f13029019.png ; $T _ { prod } \times T _ { m }$ ; confidence 0.515

168. c13007095.png ; $f ( X ^ { \prime } , X ^ { \prime } Y ^ { \prime } ) = X ^ { \prime d } f ^ { \prime } ( X ^ { \prime } , Y ^ { \prime } )$ ; confidence 0.515

169. b13012073.png ; $\Delta _ { \varepsilon } ( t ) = ( 1 - | t | / \varepsilon ) _ { + }$ ; confidence 0.515

170. a13013026.png ; $( 1 )$ ; confidence 0.515

171. w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515

172. m13014080.png ; $D \subset C ^ { x }$ ; confidence 0.515

173. b12029014.png ; $\varepsilon _ { X } ^ { A } ( s ) = \hat { R } _ { s } ^ { A } ( x )$ ; confidence 0.515

174. c12021073.png ; $d P _ { n } ^ { \prime } / d P$ ; confidence 0.515

175. a13027062.png ; $z \geq N$ ; confidence 0.515

176. c12008032.png ; $\Delta \in C ^ { n \times n }$ ; confidence 0.515

177. i130060145.png ; $q ( x ) \equiv 0$ ; confidence 0.515

178. d03211034.png ; $\tau \rightarrow \infty$ ; confidence 0.515

179. c13026021.png ; $( T , \phi )$ ; confidence 0.515

180. t12006071.png ; $E _ { atom } ^ { TF } ( N _ { j } , Z _ { j } )$ ; confidence 0.515

181. e1300204.png ; $( c ^ { \infty } ( \Omega ) ) ^ { N }$ ; confidence 0.515

182. i12004071.png ; $K ( s _ { r } )$ ; confidence 0.515

183. p07548012.png ; $\Rightarrow , -$ ; confidence 0.515

184. t12014022.png ; $k \in L ^ { 1 } ( R )$ ; confidence 0.515

185. f13009035.png ; $U _ { N } ^ { ( k ) } ( x )$ ; confidence 0.514

186. c12017022.png ; $R = \{ r _ { 1 } , \dots , r _ { m } \}$ ; confidence 0.514

187. s13051075.png ; $j \in \{ 1 , \dots , m \}$ ; confidence 0.514

188. m12012085.png ; $g b = q \dot { b }$ ; confidence 0.514

189. l12017024.png ; $K ^ { 2 } \swarrow L ^ { 3 } \searrow pt$ ; confidence 0.514

190. i12006019.png ; $P = ( X _ { P } , < _ { P } )$ ; confidence 0.514

191. s130510128.png ; $v \in F ( u )$ ; confidence 0.514

192. c12002011.png ; $53$ ; confidence 0.514

193. b130290186.png ; $R ( I )$ ; confidence 0.514

194. c12026058.png ; $0 \leq i \leq J$ ; confidence 0.514

195. m13022060.png ; $Z ( a g a ^ { - 1 } , a h a ^ { - 1 } ; z ) = Z ( g , h ; z )$ ; confidence 0.514

196. b12009048.png ; $f ( z , \tau ) / \tau$ ; confidence 0.514

197. b1300608.png ; $\| x + y \| \leq \| x \| + \| y \|$ ; confidence 0.514

198. i12004097.png ; $f = \int _ { \partial D } f \wedge K _ { Y } - \overline { \partial _ { z } } \int f \wedge K _ { Y - 1 } + \int _ { D } \overline { \partial } f \wedge K _ { Y }$ ; confidence 0.514

199. c13019037.png ; $N ^ { \prime } / L ^ { \prime }$ ; confidence 0.514

200. s12030010.png ; $X ^ { G } \rightarrow X ^ { h G }$ ; confidence 0.514

201. c120180153.png ; $\gamma : E * \rightarrow E$ ; confidence 0.514

202. b13006032.png ; $\Lambda = \operatorname { diag } \{ \lambda _ { 1 } , \ldots , \lambda _ { n } \}$ ; confidence 0.514

203. x12003031.png ; $K ( \Omega ) = \int _ { \lambda \cap \Omega \neq \phi } d \omega ( \lambda )$ ; confidence 0.514

204. b11066034.png ; $B M O$ ; confidence 0.514

205. g13001025.png ; $x \mapsto x ^ { q }$ ; confidence 0.514

206. f12020020.png ; $v _ { x } + 1 = A v _ { x }$ ; confidence 0.514

207. f1302106.png ; $L _ { C } ^ { 1 } ( G )$ ; confidence 0.513

208. d11008032.png ; $( L _ { , w } ^ { H } , w ^ { H } )$ ; confidence 0.513

209. a13030073.png ; $I ( \theta )$ ; confidence 0.513

210. e12027013.png ; $p _ { m } ^ { \alpha , \beta }$ ; confidence 0.513

211. m12015063.png ; $\frac { \Gamma _ { p } [ \frac { ( n + m + p - 1 ) } { 2 } ] } { \pi ^ { m p / 2 } \Gamma _ { p } ( ( n + p - 1 ) / 2 ) } | \Sigma | ^ { - m / 2 } | \Omega | ^ { - p / 2 } \times$ ; confidence 0.513

212. l120130104.png ; $a \in Z ^ { x }$ ; confidence 0.513

213. r082060124.png ; $H _ { g }$ ; confidence 0.513

214. b120210114.png ; $H ^ { i } ( a , M )$ ; confidence 0.513

215. c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513

216. w12006095.png ; $\xi ( f g ) = \xi ( f ) g + f . \xi ( g ) + \xi ( f ) . \xi ( g )$ ; confidence 0.513

217. a13027038.png ; $Q _ { n } y = \sum _ { i = 1 } ^ { n } ( y , \psi _ { i } ) \psi _ { i }$ ; confidence 0.513

218. o13003037.png ; $e _ { j } ^ { * } e _ { k } = \sum _ { l = 1 } ^ { 8 } ( \sqrt { 3 } d _ { j k l } - f _ { j k l } ) e _ { l }$ ; confidence 0.513

219. d13011048.png ; $73$ ; confidence 0.513

220. b13029037.png ; $A = B / ( X _ { 1 } , \dots , X _ { d } ) \cap ( Y _ { 1 } , \dots , Y _ { d } )$ ; confidence 0.513

221. c13026012.png ; $\phi ; \subset K$ ; confidence 0.513

222. b12001012.png ; $u ^ { \prime }$ ; confidence 0.513

223. n06663094.png ; $v _ { i } > 0$ ; confidence 0.513

224. m12015037.png ; $f _ { Y } ( Y )$ ; confidence 0.513

225. d11008019.png ; $[ L : K ] = d . e . f g$ ; confidence 0.512

226. m13025057.png ; $\rho _ { \varepsilon }$ ; confidence 0.512

227. a12026075.png ; $y _ { i }$ ; confidence 0.512

228. a1202708.png ; $\rho : \operatorname { Gal } ( N / K ) \rightarrow G l _ { n } ( C )$ ; confidence 0.512

229. p12015021.png ; $\hat { \chi } K$ ; confidence 0.512

230. a12016019.png ; $U$ ; confidence 0.512

231. c1200304.png ; $J = [ \alpha , b ] \subset R$ ; confidence 0.512

232. d12029089.png ; $m = 1,2 , \dots$ ; confidence 0.512

233. v096900145.png ; $Z = \cup _ { p = 1 } ^ { N _ { 0 } } Z _ { p }$ ; confidence 0.512

234. d0302804.png ; $\operatorname { lim } _ { x \rightarrow \infty } [ a _ { 0 } + \frac { n } { n + 1 } a _ { 1 } + \frac { n ( n - 1 ) } { ( n + 1 ) ( n + 2 ) } a _ { 2 }$ ; confidence 0.512

235. c120080117.png ; $\sum _ { i = 0 } ^ { r _ { 1 } } \sum _ { i = 0 } ^ { r _ { 2 } } a _ { i j } T _ { i j } = 0$ ; confidence 0.512

236. n12006032.png ; $T T$ ; confidence 0.512

237. a12016080.png ; $y _ { i } = \Delta \text { sales } = ( \frac { c _ { 1 } } { 1 - \lambda } ) \frac { I } { k } ( \text { in market } i )$ ; confidence 0.512

238. w130090105.png ; $\{ g _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.512

239. v120020130.png ; $F ^ { * } = p ^ { * } - 1 q ^ { * }$ ; confidence 0.512

240. a130040586.png ; $Fm _ { F }$ ; confidence 0.512

241. b12014045.png ; $s _ { i } ( z ) \alpha ( z ) \equiv r _ { i } ( z ) ( \operatorname { mod } b ( z ) )$ ; confidence 0.512

242. m130140101.png ; $\operatorname { det } \| \frac { 1 } { b _ { j } ^ { l } } \| \neq 0$ ; confidence 0.511

243. c11031012.png ; $X _ { \lambda }$ ; confidence 0.511

244. w13004038.png ; $N = \frac { 1 } { | g | ^ { 2 } + 1 } ( 2 \operatorname { Re } g , 2 \operatorname { Im } g , | g | ^ { 2 } - 1 )$ ; confidence 0.511

245. h13002058.png ; $q \in N$ ; confidence 0.511

246. t12021028.png ; $M _ { 1 } , M _ { 2 } , \ldots$ ; confidence 0.511

247. c023130157.png ; $t$ ; confidence 0.511

248. c120180422.png ; $\dot { k } = m + ( q _ { 1 } + \ldots + q _ { m } ) / 2$ ; confidence 0.511

249. i13007082.png ; $q \in L ^ { 2 } 0 ( R ^ { 3 } )$ ; confidence 0.511

250. c120180396.png ; $\operatorname { max } \{ q _ { 1 } + 2 , \ldots , q _ { m } + 2 \}$ ; confidence 0.511

251. b130300164.png ; $D ( 2 n _ { 2 } )$ ; confidence 0.511

252. b12031084.png ; $R S _ { R } ^ { ( n - 1 ) / 2 } f ( x ) = + \infty$ ; confidence 0.511

253. d12002071.png ; $R ^ { \prime } \subset R$ ; confidence 0.511

254. k12005048.png ; $\lambda = \operatorname { sup } \{ t \in Q : H + t ( K _ { X } + B ) \text { is } f$ ; confidence 0.511

255. b12015095.png ; $P _ { 0 }$ ; confidence 0.510

256. a12026046.png ; $y \cong \mathfrak { y }$ ; confidence 0.510

257. f13019034.png ; $j = 0 , \dots , N - 1$ ; confidence 0.510

258. b12037024.png ; $g _ { 1 } , \ldots , g _ { k }$ ; confidence 0.510

259. c120180281.png ; $a \in C ^ { \infty } ( M )$ ; confidence 0.510

260. v09649073.png ; $X ^ { * * }$ ; confidence 0.510

261. e1201909.png ; $p + F _ { . v }$ ; confidence 0.510

262. w13017045.png ; $y _ { i } + y$ ; confidence 0.510

263. f04049011.png ; $\frac { \nu _ { 2 } } { \nu _ { 2 } - 2 } \quad \text { for } \nu _ { 2 } > 2$ ; confidence 0.510

264. h13003012.png ; $r ( z ) = p ( z ) \nmid q ( z )$ ; confidence 0.510

265. c12008059.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { n } \alpha _ { i } , n - i A ^ { i } E ^ { n - i } = 0$ ; confidence 0.510

266. w1202004.png ; $R = I - \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } L _ { \nu }$ ; confidence 0.510

267. b12049055.png ; $m v$ ; confidence 0.510

268. t13021047.png ; $a _ { N } / 2 + k$ ; confidence 0.510

269. a13006092.png ; $G _ { q , k }$ ; confidence 0.510

270. w12006020.png ; $T _ { A } U _ { i } = U _ { i } \times N ^ { m } \subset T _ { A } R ^ { m }$ ; confidence 0.510

271. e13007037.png ; $M \leq N$ ; confidence 0.510

272. a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510

273. b13020046.png ; $\operatorname { span } \{ e _ { i } , f _ { i } , h _ { i i } \}$ ; confidence 0.510

274. l06004024.png ; $| \eta _ { 1 } | \geq \ldots \geq | r _ { p } | > | r _ { p } + 1 | \geq \ldots \geq | r _ { n } |$ ; confidence 0.510

275. c120180204.png ; $\tau _ { p } : \otimes ^ { 4 } E \rightarrow \otimes ^ { 4 } E$ ; confidence 0.510

276. c12003013.png ; $K \subset G$ ; confidence 0.510

277. k055840214.png ; $x \in X$ ; confidence 0.510

278. e12016016.png ; $\int ( R _ { k } + \frac { 1 } { 2 } f ^ { - 2 } h ^ { \alpha \beta } \partial _ { \alpha } E \partial _ { \beta } \overline { E } ) d \mu _ { R }$ ; confidence 0.509

279. s12025020.png ; $E _ { n + 1 } ( x ) = T _ { n + 1 } ( x )$ ; confidence 0.509

280. i130060167.png ; $| F ( 2 x ) | \leq c \sigma ( x ) , | A ( x , y ) | \leq c \sigma ( \frac { x + y } { 2 } )$ ; confidence 0.509

281. c12002048.png ; $\mathfrak { c } _ { \mathfrak { g } } = \int _ { 0 } ^ { \infty } g ( t ) \operatorname { log } \frac { 1 } { t } d t$ ; confidence 0.509

282. f12023029.png ; $\operatorname { ser } _ { k } \Omega ( M )$ ; confidence 0.509

283. z13007048.png ; $1 \in Z ( G / A )$ ; confidence 0.509

284. m1302308.png ; $Z = \sum _ { i = 1 } ^ { t } r _ { i } C _ { j }$ ; confidence 0.509

285. c13010032.png ; $\int _ { A } f _ { 1 } d m \leq ( C ) \int _ { A } f$ ; confidence 0.509

286. b12050034.png ; $Z _ { 0 } \cap [ 0 , t$ ; confidence 0.509

287. h12013048.png ; $\omega : I \rightarrow X$ ; confidence 0.509

288. e1200403.png ; $\nabla ^ { 2 } ( g ( ; t ) ^ { * } f ( . ) ) = 0$ ; confidence 0.509

289. h12013052.png ; $T o p$ ; confidence 0.509

290. o1300805.png ; $q _ { m } ( x ) \in L _ { 1,1 } ( R _ { + } ) : = \{ q : \int _ { 0 } ^ { \infty } x | q ( x ) | d x < \infty \}$ ; confidence 0.509

291. a01105024.png ; $O _ { S }$ ; confidence 0.509

292. t130130102.png ; $pd _ { \Lambda } T = n < \infty$ ; confidence 0.509

293. w12006022.png ; $T _ { A } : M f \rightarrow M f$ ; confidence 0.509

294. s12023052.png ; $\frac { B _ { - } ( \delta + p - 1 ) / 2 ( \frac { 1 } { 4 } \Sigma T T ^ { \prime } ) } { \Gamma _ { p } [ \frac { 1 } { 2 } ( \delta + p - 1 ) ] }$ ; confidence 0.509

295. t1200509.png ; $d f _ { X } : T V _ { X } \rightarrow T W _ { f } ( X )$ ; confidence 0.509

296. w120110205.png ; $( q ; p _ { j } )$ ; confidence 0.508

297. l13001046.png ; $< C N ^ { ( n - 1 ) / 2 }$ ; confidence 0.508

298. b12018030.png ; $\varphi ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.508

299. c12030055.png ; $P = I - \sum _ { i = 1 } ^ { n } S _ { i } S _ { i } ^ { * }$ ; confidence 0.508

300. n067520324.png ; $n , m = 0,1 , \dots ,$ ; confidence 0.508

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/57. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/57&oldid=44467