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5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170138.png ; $M ( n ) ( \geq 0 )$ ; confidence 0.998
 
5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170138.png ; $M ( n ) ( \geq 0 )$ ; confidence 0.998
  
−
6. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003043.png ; $( Z f ) ( t , w + 1 ) = ( Z f ) ( t , w )$ ; confidence 0.998
+
6. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003043.png ; $( Z f ) ( t , w + 1 ) = ( Z f ) ( t , w ).$ ; confidence 0.998
  
 
7. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006062.png ; $( X , D )$ ; confidence 0.998
 
7. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006062.png ; $( X , D )$ ; confidence 0.998
  
−
8. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011071.png ; $\cal{F} ( R )$ ; confidence  1.000
+
8. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011071.png ; ${\cal{F}} ( {\bf R} )$ ; confidence  1.000
  
 
9. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120158.png ; $\pi : T ( H ( Y ) ) \rightarrow H ( Y )$ ; confidence 0.998
 
9. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120158.png ; $\pi : T ( H ( Y ) ) \rightarrow H ( Y )$ ; confidence 0.998
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11. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018020.png ; $\alpha , \beta \in \cal{K}$ ; confidence 1.000
 
11. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018020.png ; $\alpha , \beta \in \cal{K}$ ; confidence 1.000
  
−
12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011016.png ; $A ( 0 , n ) = n + 1$ ; confidence 0.998
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011016.png ; $A ( 0 , n ) = n + 1,$ ; confidence 0.998
  
 
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023070.png ; $[ P + A , P + A ] ^ { \wedge } = 2 [ P , A ] ^ { \wedge } + [ A , A ] ^ { \wedge } = 0$ ; confidence 0.998
 
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023070.png ; $[ P + A , P + A ] ^ { \wedge } = 2 [ P , A ] ^ { \wedge } + [ A , A ] ^ { \wedge } = 0$ ; confidence 0.998
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15. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s1304907.png ; $r ( q ) = r ( p ) + 1$ ; confidence 0.998
 
15. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s1304907.png ; $r ( q ) = r ( p ) + 1$ ; confidence 0.998
  
−
16. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026023.png ; $\Theta( \mu ) \rightarrow F ( \mu )$ ; confidence  1.000
+
16. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026023.png ; $\Theta( \mu ) \rightarrow F ( \mu ),$ ; confidence  1.000
  
 
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001027.png ; $f ^ { 2 } \simeq f$ ; confidence 0.998
 
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001027.png ; $f ^ { 2 } \simeq f$ ; confidence 0.998
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20. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l1100106.png ; $\{ A ; \preceq \}$ ; confidence 0.998
 
20. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l1100106.png ; $\{ A ; \preceq \}$ ; confidence 0.998
  
−
21. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002035.png ; $\cal{F} ( S )$ ; confidence 0.998
+
21. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002035.png ; $\mathcal{F} ( S )$ ; confidence 0.998
  
 
22. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021048.png ; $p ( M ; \lambda )$ ; confidence 0.998
 
22. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021048.png ; $p ( M ; \lambda )$ ; confidence 0.998
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36. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001025.png ; $A ( \alpha ^ { \prime } , \alpha , k ) = A ( - \alpha , - \alpha ^ { \prime } , k )$ ; confidence 0.998
 
36. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001025.png ; $A ( \alpha ^ { \prime } , \alpha , k ) = A ( - \alpha , - \alpha ^ { \prime } , k )$ ; confidence 0.998
  
−
37. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170155.png ; $Z ^ { k } = p ( Z , Z )$ ; confidence 0.998
+
37. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170155.png ; $Z ^ { k } = p ( Z , \overline{Z} )$ ; confidence 0.998
  
 
38. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022095.png ; $\varepsilon = 0$ ; confidence 0.998
 
38. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022095.png ; $\varepsilon = 0$ ; confidence 0.998
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56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018016.png ; $\lambda \neq 0,1$ ; confidence 0.998
 
56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018016.png ; $\lambda \neq 0,1$ ; confidence 0.998
  
−
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120120/b12012010.png ; $X ^ { \prime \prime } ( t ) + \cal{R} ( t ) \circ X ( t ) = 0$ ; confidence 1.000
+
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120120/b12012010.png ; $X ^ { \prime \prime } ( t ) + {\cal {R}} ( t ) \circ X ( t ) = 0$ ; confidence 1.000
  
 
58. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137074.png ; $1 \leq i \leq m$ ; confidence 0.998
 
58. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137074.png ; $1 \leq i \leq m$ ; confidence 0.998
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68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026097.png ; $\overline { \alpha } : M ( A ) \rightarrow M ( B )$ ; confidence 0.998
 
68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026097.png ; $\overline { \alpha } : M ( A ) \rightarrow M ( B )$ ; confidence 0.998
  
−
69. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170142.png ; $p ( Z , Z ) = 0$ ; confidence 0.998
+
69. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170142.png ; $p ( Z , \overline{Z} ) = 0$ ; confidence 0.998
  
 
70. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100107.png ; $\text{supp}\,  \phi \subset U$ ; confidence 1.000
 
70. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100107.png ; $\text{supp}\,  \phi \subset U$ ; confidence 1.000
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80. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022560/c02256036.png ; $[ A ]$ ; confidence 0.998
 
80. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022560/c02256036.png ; $[ A ]$ ; confidence 0.998
  
−
81. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014014.png ; $\frac { 1 } { \lambda } = \operatorname { sup } \frac { | D ( h ) - D ^ { * } ( h ) | } { D ( h ) + D ^ { * } ( h ) }$ ; confidence 0.998
+
81. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014014.png ; $\frac { 1 } { \lambda } = \operatorname { sup } \frac { | D ( h ) - D ^ { * } ( h ) | } { D ( h ) + D ^ { * } ( h ) },$ ; confidence 0.998
  
 
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013038.png ; $\gamma _ { n } = 1 / n$ ; confidence 0.998
 
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013038.png ; $\gamma _ { n } = 1 / n$ ; confidence 0.998
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87. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003060.png ; $E \subset [ 0,1 ]$ ; confidence 0.998
 
87. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003060.png ; $E \subset [ 0,1 ]$ ; confidence 0.998
  
−
88. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010074.png ; $w ( Z ( K ) )$ ; confidence 0.998
+
88. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010074.png ; $w ( \widetilde{Z} ( K ) )$ ; confidence 1.000
  
 
89. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200804.png ; $( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.998
 
89. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200804.png ; $( x , t ) \in \partial \Omega \times [ 0 , T ]$ ; confidence 0.998
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101. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013056.png ; $\tau ( x , y ) = \tau ( x - y )$ ; confidence 0.998
 
101. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013056.png ; $\tau ( x , y ) = \tau ( x - y )$ ; confidence 0.998
  
−
102. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004061.png ; $u \in D ^ { \prime } ( \Omega )$ ; confidence 0.998
+
102. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004061.png ; $u \in \mathcal{D} ^ { \prime } ( \Omega )$ ; confidence 0.998
  
−
103. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430113.png ; $\gamma \delta = \delta \gamma + ( 1 - q ^ { - 2 } ) \gamma \alpha$ ; confidence 0.998
+
103. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430113.png ; $\gamma \delta = \delta \gamma + ( 1 - q ^ { - 2 } ) \gamma \alpha ,$ ; confidence 0.998
  
 
104. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016016.png ; $\pi_f ( x )$ ; confidence 1.000
 
104. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016016.png ; $\pi_f ( x )$ ; confidence 1.000
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121. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e12009015.png ; $\sigma = 0,1,2,3$ ; confidence 0.998
 
121. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e12009015.png ; $\sigma = 0,1,2,3$ ; confidence 0.998
  
−
122. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050100.png ; $\cal{L} ( Y , X )$ ; confidence 1.000
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050100.png ; ${\cal{L}} ( Y , X )$ ; confidence 1.000
  
 
123. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600262.png ; $> 0$ ; confidence 0.998
 
123. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600262.png ; $> 0$ ; confidence 0.998
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129. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013016.png ; $X ( i ) \times I ^ { k }$ ; confidence 0.998
 
129. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013016.png ; $X ( i ) \times I ^ { k }$ ; confidence 0.998
  
−
130. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022051.png ; $( p y ^ { \prime } ) ^ { \prime } + q y = 0 , p > 0$ ; confidence 0.998
+
130. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022051.png ; $( p y ^ { \prime } ) ^ { \prime } + q y = 0 , p > 0,$ ; confidence 0.998
  
 
131. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034047.png ; $g ( \omega , J )$ ; confidence 0.998
 
131. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034047.png ; $g ( \omega , J )$ ; confidence 0.998
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144. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008047.png ; $\xi , \eta \in L _ { 2 } ( G )$ ; confidence 0.998
 
144. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008047.png ; $\xi , \eta \in L _ { 2 } ( G )$ ; confidence 0.998
  
−
145. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011055.png ; $B = \nabla \times A$ ; confidence 0.998
+
145. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011055.png ; $\mathbf{B} = \nabla \times \mathbf{A}$ ; confidence 0.998
  
 
146. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005064.png ; $L ^ { 1 } ( x , \infty )$ ; confidence 0.998
 
146. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005064.png ; $L ^ { 1 } ( x , \infty )$ ; confidence 0.998
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149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003017.png ; $\| \varphi \| = \int \int _ { R } | \varphi ( z ) | d x d y$ ; confidence 0.998
 
149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003017.png ; $\| \varphi \| = \int \int _ { R } | \varphi ( z ) | d x d y$ ; confidence 0.998
  
−
150. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001025.png ; $\operatorname { exp } ( i A ( x ) ) + o ( 1 )$ ; confidence 0.998
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001025.png ; $.\operatorname { exp } ( i A ( x ) ) + o ( 1 ),$ ; confidence 0.998
  
−
151. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005080.png ; $\theta = \frac { \phi - 1 } { \phi - 1 - \phi \mu }$ ; confidence 0.998
+
151. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005080.png ; $\theta = \frac { \phi - 1 } { \phi - 1 - \phi \mu },$ ; confidence 0.998
  
 
152. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003036.png ; $0 < \alpha < \pi / 2$ ; confidence 0.998
 
152. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003036.png ; $0 < \alpha < \pi / 2$ ; confidence 0.998
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178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062065.png ; $B \lambda$ ; confidence 0.998
 
178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062065.png ; $B \lambda$ ; confidence 0.998
  
−
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037022.png ; $\cal{D} _ { E } [ 0 , \infty )$ ; confidence 1.000
+
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037022.png ; ${\cal{D}} _ { E } [ 0 , \infty )$ ; confidence 1.000
  
 
180. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030110.png ; $\rho ( - u ) = \rho ( u )$ ; confidence 0.998
 
180. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030110.png ; $\rho ( - u ) = \rho ( u )$ ; confidence 0.998
  
−
181. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005018.png ; $\nu = \frac { 4 } { 3 } \pi \sigma ^ { 2 } N$ ; confidence 1.000
+
181. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005018.png ; $\mathcal{V} = \frac { 4 } { 3 } \pi \sigma ^ { 2 } N,$ ; confidence 1.000
  
−
182. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005010.png ; $( \partial _ { t } + \Delta ) u = 0$ ; confidence 0.998
+
182. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005010.png ; $( \partial _ { t } + \Delta ) u = 0,$ ; confidence 0.998
  
 
183. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030039.png ; $( Y ( t ) , t \in [ 0 , T ] )$ ; confidence 0.998
 
183. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030039.png ; $( Y ( t ) , t \in [ 0 , T ] )$ ; confidence 0.998
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187. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700058.png ; $F \equiv ( \lambda x ( \lambda y ( y x ) ) )$ ; confidence 0.998
 
187. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700058.png ; $F \equiv ( \lambda x ( \lambda y ( y x ) ) )$ ; confidence 0.998
  
−
188. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510117.png ; $V ^ { f } = \{ u \in V : \gamma ( u ) < \infty \}$ ; confidence 0.998
+
188. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510117.png ; $V ^ { f } = \{ u \in V : \gamma ( u ) < \infty \},$ ; confidence 0.998
  
 
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280160.png ; $\pi : A \rightarrow B ( H )$ ; confidence 0.998
 
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280160.png ; $\pi : A \rightarrow B ( H )$ ; confidence 0.998
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194. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200200.png ; $\Lambda = 0$ ; confidence 0.998
 
194. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200200.png ; $\Lambda = 0$ ; confidence 0.998
  
−
195. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002068.png ; $A \in \cal{M} ^ { 1 }$ ; confidence 1.000
+
195. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002068.png ; $A \in {\cal{M}} ^ { 1 }$ ; confidence 1.000
  
 
196. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180134.png ; $ \operatorname { dim } F - \operatorname { dim } E$ ; confidence 1.000
 
196. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180134.png ; $ \operatorname { dim } F - \operatorname { dim } E$ ; confidence 1.000
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197. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019032.png ; $d u / d t = L u$ ; confidence 0.998
 
197. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019032.png ; $d u / d t = L u$ ; confidence 0.998
  
−
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010064.png ; $T ( z ) \rightarrow 0$ ; confidence 0.998
+
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010064.png ; $\widetilde{T} ( z ) \rightarrow 0 $ ; confidence 1.000
  
 
199. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110144.png ; $1 / ( 1 - e ^ { 2 \pi i z } )$ ; confidence 0.998
 
199. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110144.png ; $1 / ( 1 - e ^ { 2 \pi i z } )$ ; confidence 0.998
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207. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510132.png ; $c ( w ) < c ( u )$ ; confidence 0.998
 
207. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510132.png ; $c ( w ) < c ( u )$ ; confidence 0.998
  
−
208. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120310/d12031014.png ; $\alpha f ( T ) + \beta g ( T ) = ( \alpha f + \beta g ) ( T )$ ; confidence 0.998
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120310/d12031014.png ; $\alpha f ( T ) + \beta g ( T ) = ( \alpha f + \beta g ) ( T ),$ ; confidence 0.998
  
 
209. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130040/o1300408.png ; $\phi : [ 0 , T ] \rightarrow M$ ; confidence 0.998
 
209. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130040/o1300408.png ; $\phi : [ 0 , T ] \rightarrow M$ ; confidence 0.998
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213. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023098.png ; $\eta > 0$ ; confidence 0.998
 
213. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023098.png ; $\eta > 0$ ; confidence 0.998
  
−
214. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h1300501.png ; $\frac { \partial u } { \partial t } = \frac { \partial ^ { 3 } } { \partial x ^ { 3 } } ( \frac { 1 } { \sqrt { u } } )$ ; confidence 0.998
+
214. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h1300501.png ; $\frac { \partial u } { \partial t } = \frac { \partial ^ { 3 } } { \partial x ^ { 3 } } \left( \frac { 1 } { \sqrt { u } } \right)$ ; confidence 0.998
  
 
215. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006054.png ; $L ( X , Y )$ ; confidence 0.998
 
215. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006054.png ; $L ( X , Y )$ ; confidence 0.998
Line 438: Line 438:
 
219. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023039.png ; $\partial \Omega \in C ^ { 2 }$ ; confidence 0.998
 
219. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023039.png ; $\partial \Omega \in C ^ { 2 }$ ; confidence 0.998
  
−
220. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007047.png ; $( z _ { 1 } , z _ { 2 } ) \in \partial D$ ; confidence 0.998
+
220. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007047.png ; $( z _ { 1 } , z _ { 2 } ) \in \partial D.$ ; confidence 0.998
  
−
221. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009011.png ; $\frac { \partial f ( z , t ) } { \partial t } = - f ( z , t ) p ( f , t )$ ; confidence 0.998
+
221. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009011.png ; $\frac { \partial f ( z , t ) } { \partial t } = - f ( z , t ) p ( f , t ),$ ; confidence 0.998
  
 
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260139.png ; $( v ^ { \prime } , p ^ { \prime } )$ ; confidence 0.998
 
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260139.png ; $( v ^ { \prime } , p ^ { \prime } )$ ; confidence 0.998
Line 450: Line 450:
 
225. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014032.png ; $f \in C ^ { 2 } ( U )$ ; confidence 0.998
 
225. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014032.png ; $f \in C ^ { 2 } ( U )$ ; confidence 0.998
  
−
226. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120250/d1202509.png ; $1 ^ { 2 }$ ; confidence 0.998
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120250/d1202509.png ; $\text{l} ^ { 2 }$ ; confidence 0.998
  
 
227. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260141.png ; $\alpha ( d \theta ) = d \theta$ ; confidence 0.998
 
227. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260141.png ; $\alpha ( d \theta ) = d \theta$ ; confidence 0.998
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229. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019061.png ; $b ( m )$ ; confidence 0.998
 
229. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019061.png ; $b ( m )$ ; confidence 0.998
  
−
230. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025091.png ; $k \leq ( n - 1 ) q + n$ ; confidence 0.998
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025091.png ; $k \leq ( n - 1 ) q + n,$ ; confidence 0.998
  
 
231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010047.png ; $\tau ( m n ) = \tau ( m ) \tau ( n )$ ; confidence 0.998
 
231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010047.png ; $\tau ( m n ) = \tau ( m ) \tau ( n )$ ; confidence 0.998
Line 486: Line 486:
 
243. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023067.png ; $[ P , P ] ^ { \wedge } = 0$ ; confidence 0.998
 
243. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023067.png ; $[ P , P ] ^ { \wedge } = 0$ ; confidence 0.998
  
−
244. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b1202207.png ; $\int \phi ( v ) Q ( f ) ( v ) d v = 0$ ; confidence 0.998
+
244. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b1202207.png ; $\int \phi ( v ) Q ( f ) ( v ) d v = 0,$ ; confidence 0.998
  
 
245. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021540/c02154017.png ; $f ( x ) = \chi ( \pi ( x ) )$ ; confidence 0.998
 
245. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021540/c02154017.png ; $f ( x ) = \chi ( \pi ( x ) )$ ; confidence 0.998
  
−
246. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240120.png ; $f : \cal{E} \rightarrow Y _ { 1 } ( N )$ ; confidence 1.000
+
246. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240120.png ; $f :{ \cal{E}} \rightarrow Y _ { 1 } ( N )$ ; confidence 1.000
  
 
247. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w1100601.png ; $B ( t , \omega )$ ; confidence 0.998
 
247. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w1100601.png ; $B ( t , \omega )$ ; confidence 0.998
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250. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029098.png ; $h _ { 0 } = h _ { 1 } = 0$ ; confidence 0.998
 
250. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029098.png ; $h _ { 0 } = h _ { 1 } = 0$ ; confidence 0.998
  
−
251. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002011.png ; $E ^ { \prime } ( \Omega )$ ; confidence 0.998
+
251. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002011.png ; ${\cal E} ^ { \prime } ( \Omega )$ ; confidence 1.000
  
−
252. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027018.png ; $( \operatorname { log } m )$ ; confidence 0.998
+
252. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027018.png ; $\mathcal{O} (\operatorname { log } m )$ ; confidence 1.000
  
−
253. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160142.png ; $[ s ( n ) , t ( n )$ ; confidence 0.998
+
253. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160142.png ; $\text{ASPACETIME} \, [ s ( n ) , t ( n ) ]$ ; confidence 1.000
  
 
254. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013059.png ; $\epsilon ( \lambda ) = 0$ ; confidence 0.998
 
254. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013059.png ; $\epsilon ( \lambda ) = 0$ ; confidence 0.998
  
−
255. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013075.png ; $H$ ; confidence 0.998
+
255. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013075.png ; $H_-$ ; confidence 1.000
  
 
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018061.png ; $\chi \rightarrow \psi$ ; confidence 0.998
 
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018061.png ; $\chi \rightarrow \psi$ ; confidence 0.998
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258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042024.png ; $1$ ; confidence 0.998
 
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042024.png ; $1$ ; confidence 0.998
  
−
259. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020023.png ; $\{ A \}$ ; confidence 0.998
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020023.png ; $\operatorname{meas} \, \{ A \}$ ; confidence 1.000
  
 
260. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049055.png ; $c ( p , q )$ ; confidence 0.998
 
260. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049055.png ; $c ( p , q )$ ; confidence 0.998
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262. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004037.png ; $N : M \rightarrow S ^ { 2 }$ ; confidence 0.998
 
262. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004037.png ; $N : M \rightarrow S ^ { 2 }$ ; confidence 0.998
  
−
263. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006038.png ; $( E , \sigma _ { 1 } , \sigma _ { 2 } )$ ; confidence 0.998
+
263. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006038.png ; $( \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } )$ ; confidence 1.000
  
 
264. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s1306507.png ; $\Phi _ { - 1 } ( z ) = 0$ ; confidence 0.998
 
264. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s1306507.png ; $\Phi _ { - 1 } ( z ) = 0$ ; confidence 0.998
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266. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010040.png ; $T _ { \varphi } f = P ( \varphi f )$ ; confidence 0.997
 
266. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010040.png ; $T _ { \varphi } f = P ( \varphi f )$ ; confidence 0.997
  
−
267. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013079.png ; $\dot { y } = A x$ ; confidence 0.997
+
267. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013079.png ; $\dot { y } = A x,$ ; confidence 0.997
  
 
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
 
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
  
−
269. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620162.png ; $y ( x , \lambda ) = \frac { \operatorname { sin } x } { 1 + ( 2 x - \operatorname { sin } 2 x ) ^ { 2 } }$ ; confidence 0.997
+
269. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620162.png ; $y ( x , \lambda ) = \frac { \operatorname { sin } x } { 1 + ( 2 x - \operatorname { sin } 2 x ) ^ { 2 } }.$ ; confidence 0.997
  
 
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003014.png ; $L _ { \infty } [ 0,1 ]$ ; confidence 0.997
 
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003014.png ; $L _ { \infty } [ 0,1 ]$ ; confidence 0.997
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275. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006080.png ; $F \xi$ ; confidence 0.997
 
275. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006080.png ; $F \xi$ ; confidence 0.997
  
−
276. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110142.png ; $\iota = 2 \pi i$ ; confidence 0.997
+
276. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110142.png ; $\iota = 2 \pi {i} $ ; confidence 0.997
  
 
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032011.png ; $X _ { k } = 1$ ; confidence 0.997
 
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032011.png ; $X _ { k } = 1$ ; confidence 0.997
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282. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045046.png ; $( x _ { 1 } - x _ { 2 } ) ( y _ { 1 } - y _ { 2 } ) < 0$ ; confidence 0.997
 
282. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045046.png ; $( x _ { 1 } - x _ { 2 } ) ( y _ { 1 } - y _ { 2 } ) < 0$ ; confidence 0.997
  
−
283. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016059.png ; $[ s ( n ) ]$ ; confidence 0.997
+
283. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016059.png ; $\text{NTIME} \, [ s ( n ) ]$ ; confidence 1.000
  
 
284. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200186.png ; $\phi ( z ) \neq 0$ ; confidence 0.997
 
284. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200186.png ; $\phi ( z ) \neq 0$ ; confidence 0.997
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286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018047.png ; $L ^ { \infty } ( X , m )$ ; confidence 0.997
 
286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018047.png ; $L ^ { \infty } ( X , m )$ ; confidence 0.997
  
−
287. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004052.png ; $\eta ( W ) d g ( W ) \in R$ ; confidence 0.997
+
287. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004052.png ; $\eta ( W ) d g ( W ) \in {\bf{R}}$ ; confidence 1.000
  
 
288. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012033.png ; $| t | > 2$ ; confidence 0.997
 
288. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012033.png ; $| t | > 2$ ; confidence 0.997
Line 580: Line 580:
 
290. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080119.png ; $\Gamma \varphi ( x , y ) = \varphi ( x y ^ { - 1 } )$ ; confidence 0.997
 
290. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080119.png ; $\Gamma \varphi ( x , y ) = \varphi ( x y ^ { - 1 } )$ ; confidence 0.997
  
−
291. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030036.png ; $y , \xi \in R ^ { N }$ ; confidence 0.997
+
291. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030036.png ; $y , \xi \in {\bf R }^ { N }$ ; confidence 1.000
  
 
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003043.png ; $R ^ { \prime } \backslash E ^ { \prime }$ ; confidence 0.997
 
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003043.png ; $R ^ { \prime } \backslash E ^ { \prime }$ ; confidence 0.997
Line 590: Line 590:
 
295. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006030.png ; $G _ { 0 } ( z ) = ( z - H _ { 0 } ) ^ { - 1 }$ ; confidence 0.997
 
295. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006030.png ; $G _ { 0 } ( z ) = ( z - H _ { 0 } ) ^ { - 1 }$ ; confidence 0.997
  
−
296. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130110/r1301109.png ; $\xi ( s ) : = \frac { 1 } { 2 } s ( s - 1 ) \pi ^ { - s / 2 } \Gamma ( \frac { s } { 2 } ) \zeta ( s )$ ; confidence 0.997
+
296. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130110/r1301109.png ; $\xi ( s ) : = \frac { 1 } { 2 } s ( s - 1 ) \pi ^ { - s / 2 } \Gamma \left( \frac { s } { 2 } \right) \zeta ( s ),$ ; confidence 0.997
  
 
297. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997
 
297. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997

Latest revision as of 12:51, 17 May 2020

List

1. s13050015.png ; $f _ { k } : = | \cal{F} _ { k } |$ ; confidence 0.998

2. m12009030.png ; $y ^ { \prime \prime } + b y ^ { \prime } + c y = 0$ ; confidence 0.998

3. e12027025.png ; $n = m + 1$ ; confidence 0.998

4. e120190189.png ; $\Phi _ { 1 } = \Phi _ { 2 }$ ; confidence 0.998

5. c120170138.png ; $M ( n ) ( \geq 0 )$ ; confidence 0.998

6. z13003043.png ; $( Z f ) ( t , w + 1 ) = ( Z f ) ( t , w ).$ ; confidence 0.998

7. h13006062.png ; $( X , D )$ ; confidence 0.998

8. n12011071.png ; ${\cal{F}} ( {\bf R} )$ ; confidence 1.000

9. h120120158.png ; $\pi : T ( H ( Y ) ) \rightarrow H ( Y )$ ; confidence 0.998

10. b120420171.png ; $D ( H )$ ; confidence 0.998

11. s12018020.png ; $\alpha , \beta \in \cal{K}$ ; confidence 1.000

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

13. f12023070.png ; $[ P + A , P + A ] ^ { \wedge } = 2 [ P , A ] ^ { \wedge } + [ A , A ] ^ { \wedge } = 0$ ; confidence 0.998

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

15. s1304907.png ; $r ( q ) = r ( p ) + 1$ ; confidence 0.998

16. e12026023.png ; $\Theta( \mu ) \rightarrow F ( \mu ),$ ; confidence 1.000

17. f12001027.png ; $f ^ { 2 } \simeq f$ ; confidence 0.998

18. d0338605.png ; $e ^ { 2 } = 0$ ; confidence 0.998

19. d12031020.png ; $h ( T ) = g ( f ( T ) )$ ; confidence 0.998

20. l1100106.png ; $\{ A ; \preceq \}$ ; confidence 0.998

21. h13002035.png ; $\mathcal{F} ( S )$ ; confidence 0.998

22. t12021048.png ; $p ( M ; \lambda )$ ; confidence 0.998

23. f12008032.png ; $\varphi \in B ( G )$ ; confidence 0.998

24. b13026020.png ; $f : M \rightarrow N$ ; confidence 0.998

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

26. m120120114.png ; $A , B \in \cal{F}$ ; confidence 1.000

27. m13014061.png ; $n < 12$ ; confidence 0.998

28. b1301505.png ; $\Gamma ^ { \prime } = \Gamma$ ; confidence 0.998

29. b110130219.png ; $\lambda \in \bf{T}$ ; confidence 1.000

30. f12005042.png ; $\operatorname { deg } f = 1$ ; confidence 0.998

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

32. c02691076.png ; $\lambda ^ { \prime }$ ; confidence 0.998

33. q12002024.png ; $1 \leq t \leq n - k$ ; confidence 0.998

34. d03027024.png ; $0 \leq \theta < 1$ ; confidence 0.998

35. d1301103.png ; $\alpha_y$ ; confidence 1.000

36. o13001025.png ; $A ( \alpha ^ { \prime } , \alpha , k ) = A ( - \alpha , - \alpha ^ { \prime } , k )$ ; confidence 0.998

37. c120170155.png ; $Z ^ { k } = p ( Z , \overline{Z} )$ ; confidence 0.998

38. b12022095.png ; $\varepsilon = 0$ ; confidence 0.998

39. t09408016.png ; $A , B \subset X$ ; confidence 0.998

40. e12002080.png ; $\varphi : X \rightarrow Y$ ; confidence 0.998

41. l057000202.png ; $\rho ^ { \prime } ( y ) = \rho ( y )$ ; confidence 0.998

42. e13007072.png ; $K = 2 ^ { k - 1 }$ ; confidence 0.998

43. c13014060.png ; $\left( \begin{array} { l l } { 3 } & { 2 } \\ { 2 } & { 3 } \end{array} \right)$ ; confidence 0.998

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

45. n12010039.png ; $\varphi ( \xi )$ ; confidence 0.998

46. c130070124.png ; $g \geq 0$ ; confidence 0.998

47. f12015061.png ; $E \in B ( X ) = B ( X , X )$ ; confidence 0.998

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

49. b017330200.png ; $\zeta \in \Gamma$ ; confidence 0.998

50. m06222040.png ; $( h , h , 3 ) ^ { 2 }$ ; confidence 0.998

51. c13016098.png ; $f \in F ( L )$ ; confidence 0.998

52. v12002029.png ; $f ^ { - 1 } ( Y _ { 0 } ) = X _ { 0 }$ ; confidence 0.998

53. w12007071.png ; $\sigma ( \xi , x )$ ; confidence 0.998

54. v12004028.png ; $r \geq ( \sqrt { 7 } - 1 ) n \approx 1.647 n$ ; confidence 0.998

55. c11020031.png ; $f \in A ( D )$ ; confidence 0.998

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

57. b12012010.png ; $X ^ { \prime \prime } ( t ) + {\cal {R}} ( t ) \circ X ( t ) = 0$ ; confidence 1.000

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

59. m130180146.png ; $\chi ( L ; \lambda )$ ; confidence 0.998

60. l120090123.png ; $( A , A ^ { * } )$ ; confidence 0.998

61. o07034081.png ; $h ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998

62. m130250105.png ; $r < 3 n / 2$ ; confidence 0.998

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

64. w12018065.png ; $G ( \partial A )$ ; confidence 0.998

65. d12030040.png ; $( Z ( t ) , t \in [ 0 , T ] )$ ; confidence 0.998

66. c02154010.png ; $\phi ( x ) = \lambda f ( x )$ ; confidence 0.998

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

68. m13026097.png ; $\overline { \alpha } : M ( A ) \rightarrow M ( B )$ ; confidence 0.998

69. c120170142.png ; $p ( Z , \overline{Z} ) = 0$ ; confidence 0.998

70. f130100107.png ; $\text{supp}\, \phi \subset U$ ; confidence 1.000

71. r08232027.png ; $J ( p )$ ; confidence 0.998

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

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

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

75. d13013013.png ; $B _ { r } = g / r ^ { 2 }$ ; confidence 0.998

76. k055840328.png ; $U ( T )$ ; confidence 0.998

77. l13001048.png ; $[ ( n + 2 ) / 2 ]$ ; confidence 0.998

78. d1202504.png ; $f : U \rightarrow f [ U ]$ ; confidence 0.998

79. e12007085.png ; $p \in P ( k )$ ; confidence 0.998

80. c02256036.png ; $[ A ]$ ; confidence 0.998

81. f12014014.png ; $\frac { 1 } { \lambda } = \operatorname { sup } \frac { | D ( h ) - D ^ { * } ( h ) | } { D ( h ) + D ^ { * } ( h ) },$ ; confidence 0.998

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

83. v09690086.png ; $T \in A ^ { + }$ ; confidence 0.998

84. b13007091.png ; $g ^ { \prime }$ ; confidence 0.998

85. e1100302.png ; $( X , d )$ ; confidence 0.998

86. l120170264.png ; $H _ { 1 } ( B ) = 0$ ; confidence 0.998

87. d12003060.png ; $E \subset [ 0,1 ]$ ; confidence 0.998

88. k12010074.png ; $w ( \widetilde{Z} ( K ) )$ ; confidence 1.000

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

90. v12002015.png ; $H _ { 0 } ( M , G ) \cong G$ ; confidence 0.998

91. b01672055.png ; $\partial f$ ; confidence 0.998

92. b1100405.png ; $\theta \in \Theta _ { 0 }$ ; confidence 0.998

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

94. s12025028.png ; $\operatorname { log } h / \sqrt { 1 - x ^ { 2 } } \in L _ { 1 } [ - 1,1 ]$ ; confidence 0.998

95. j13002044.png ; $p = \Omega ( n ^ { - 1 / 2 } )$ ; confidence 0.998

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

97. n1300308.png ; $A \phi = \lambda \phi$ ; confidence 0.998

98. a12027092.png ; $W ( \rho ) = W ( \overline { \rho } )$ ; confidence 0.998

99. b12027026.png ; $U ( t + h ) - U ( t )$ ; confidence 0.998

100. d03025013.png ; $h = b - a$ ; confidence 0.998

101. t12013056.png ; $\tau ( x , y ) = \tau ( x - y )$ ; confidence 0.998

102. g12004061.png ; $u \in \mathcal{D} ^ { \prime } ( \Omega )$ ; confidence 0.998

103. b120430113.png ; $\gamma \delta = \delta \gamma + ( 1 - q ^ { - 2 } ) \gamma \alpha ,$ ; confidence 0.998

104. b11016016.png ; $\pi_f ( x )$ ; confidence 1.000

105. y12001023.png ; $R _ { 12 } R _ { 23 } R _ { 12 } = R _ { 23 } R _ { 12 } R _ { 23 }$ ; confidence 0.998

106. f120150155.png ; $\alpha ( A - K ) < \infty$ ; confidence 0.998

107. c12004026.png ; $f \in H ^ { 1 } ( D )$ ; confidence 0.998

108. b1205506.png ; $\gamma : [ 0 , \infty ) \rightarrow M$ ; confidence 0.998

109. f1301003.png ; $p ^ { \prime } = p / p - 1$ ; confidence 0.998

110. p13010079.png ; $H ^ { \infty } ( \Delta )$ ; confidence 0.998

111. w12021026.png ; $M N ^ { T } = N M ^ { T }$ ; confidence 0.998

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

113. l05700059.png ; $( F A ) B = B A$ ; confidence 0.998

114. b120040171.png ; $\theta = 1 - 1 / p = 1 / p ^ { \prime }$ ; confidence 0.998

115. r081430201.png ; $\Gamma _ { A }$ ; confidence 0.998

116. e13004030.png ; $( \Omega _ { + } - 1 ) \psi ( t )$ ; confidence 0.998

117. q12001070.png ; $H = \{ g \in G : \tau ( g ) = g \}$ ; confidence 0.998

118. w12011077.png ; $X , Y \in \Phi$ ; confidence 0.998

119. o130060182.png ; $( \xi _ { 1 } , \xi _ { 2 } )$ ; confidence 0.998

120. i13003073.png ; $\pi : Y \rightarrow B$ ; confidence 0.998

121. e12009015.png ; $\sigma = 0,1,2,3$ ; confidence 0.998

122. a120050100.png ; ${\cal{L}} ( Y , X )$ ; confidence 1.000

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

124. i1200501.png ; $N ( \alpha , \beta , \theta )$ ; confidence 0.998

125. b12053012.png ; $( \Omega , A , \mu )$ ; confidence 0.998

126. e13006064.png ; $r : R \rightarrow B$ ; confidence 0.998

127. a13023012.png ; $U + V$ ; confidence 0.998

128. k055840160.png ; $z _ { 0 } \in \rho ( A )$ ; confidence 0.998

129. h12013016.png ; $X ( i ) \times I ^ { k }$ ; confidence 0.998

130. d11022051.png ; $( p y ^ { \prime } ) ^ { \prime } + q y = 0 , p > 0,$ ; confidence 0.998

131. s12034047.png ; $g ( \omega , J )$ ; confidence 0.998

132. f120150138.png ; $\alpha ( A - S ) < \infty$ ; confidence 0.998

133. f130290113.png ; $( X , \tau )$ ; confidence 0.998

134. s12023063.png ; $X _ { 1 } ( p \times ( n - m ) )$ ; confidence 0.998

135. a12025025.png ; $q = 32$ ; confidence 0.998

136. g13001051.png ; $( n , q ) = ( 3,4 )$ ; confidence 0.998

137. h11026033.png ; $\beta \geq 0$ ; confidence 0.998

138. v12004053.png ; $\chi ^ { \prime } ( G ) = \chi _ { l } ^ { \prime } ( G )$ ; confidence 0.998

139. g13001037.png ; $z ^ { \sigma }$ ; confidence 0.998

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

141. c12008051.png ; $\alpha , \beta \in \bf{C}$ ; confidence 1.000

142. a12012048.png ; $( x , y ) \in \cal{J}$ ; confidence 1.000

143. h120020141.png ; $s > 1 / p$ ; confidence 0.998

144. f12008047.png ; $\xi , \eta \in L _ { 2 } ( G )$ ; confidence 0.998

145. e12011055.png ; $\mathbf{B} = \nabla \times \mathbf{A}$ ; confidence 0.998

146. i13005064.png ; $L ^ { 1 } ( x , \infty )$ ; confidence 0.998

147. r13007094.png ; $f , g \in H ^ { 0 }$ ; confidence 0.998

148. b12024021.png ; $f_- ( \{ \infty \} )$ ; confidence 1.000

149. t12003017.png ; $\| \varphi \| = \int \int _ { R } | \varphi ( z ) | d x d y$ ; confidence 0.998

150. h11001025.png ; $.\operatorname { exp } ( i A ( x ) ) + o ( 1 ),$ ; confidence 0.998

151. q12005080.png ; $\theta = \frac { \phi - 1 } { \phi - 1 - \phi \mu },$ ; confidence 0.998

152. l06003036.png ; $0 < \alpha < \pi / 2$ ; confidence 0.998

153. h12002052.png ; $\psi \in H ^ { \infty }$ ; confidence 0.998

154. f04045035.png ; $f ( U )$ ; confidence 0.998

155. f120080168.png ; $B _ { p } ( G , G )$ ; confidence 0.998

156. z13004029.png ; $c \leq 1 / 4$ ; confidence 0.998

157. o130060110.png ; $\xi _ { 1 } A _ { 1 } + \xi _ { 2 } A _ { 2 }$ ; confidence 0.998

158. d12003054.png ; $f ( x _ { n } ) = 0$ ; confidence 0.998

159. b1202702.png ; $( t , t + h ]$ ; confidence 0.998

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

161. h120020120.png ; $\phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.998

162. a12023073.png ; $f \in C ( \Gamma ) \cap L ^ { 1 } ( \Gamma )$ ; confidence 0.998

163. c12004014.png ; $H ^ { 1 } ( D )$ ; confidence 0.998

164. v13005052.png ; $D : V \rightarrow V$ ; confidence 0.998

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

166. r130070166.png ; $L ^ { * } = L ^ { - 1 }$ ; confidence 0.998

167. h12012051.png ; $( Y , d )$ ; confidence 0.998

168. b13029071.png ; $1 \leq i \leq j \leq d$ ; confidence 0.998

169. b1302507.png ; $\angle \Omega A B$ ; confidence 0.998

170. s12033052.png ; $( 176,50,14 )$ ; confidence 0.998

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

172. q12005073.png ; $\phi = 1$ ; confidence 0.998

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

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

175. f13001027.png ; $\operatorname { deg } f _ { i } > i$ ; confidence 0.998

176. m06222046.png ; $( h - 1 )$ ; confidence 0.998

177. i13005028.png ; $g ( x , k )$ ; confidence 0.998

178. s13062065.png ; $B \lambda$ ; confidence 0.998

179. s13037022.png ; ${\cal{D}} _ { E } [ 0 , \infty )$ ; confidence 1.000

180. m120030110.png ; $\rho ( - u ) = \rho ( u )$ ; confidence 0.998

181. k13005018.png ; $\mathcal{V} = \frac { 4 } { 3 } \pi \sigma ^ { 2 } N,$ ; confidence 1.000

182. h12005010.png ; $( \partial _ { t } + \Delta ) u = 0,$ ; confidence 0.998

183. d12030039.png ; $( Y ( t ) , t \in [ 0 , T ] )$ ; confidence 0.998

184. e12023023.png ; $\sigma ( x ) = ( x , y ( x ) )$ ; confidence 0.998

185. s12035017.png ; $D _ {\cal{ M} }$ ; confidence 1.000

186. w12017031.png ; $\omega ( G ) \neq 1$ ; confidence 0.998

187. l05700058.png ; $F \equiv ( \lambda x ( \lambda y ( y x ) ) )$ ; confidence 0.998

188. s130510117.png ; $V ^ { f } = \{ u \in V : \gamma ( u ) < \infty \},$ ; confidence 0.998

189. a120280160.png ; $\pi : A \rightarrow B ( H )$ ; confidence 0.998

190. p13010082.png ; $f ( T ) \subset K$ ; confidence 0.998

191. m12003059.png ; $\Psi ( x , \sigma ) = \chi ( x / \sigma )$ ; confidence 0.998

192. b12055048.png ; $\partial \iota ( M )$ ; confidence 0.998

193. t12013049.png ; $\tau _ { 0 } = 1$ ; confidence 0.998

194. b130200200.png ; $\Lambda = 0$ ; confidence 0.998

195. j12002068.png ; $A \in {\cal{M}} ^ { 1 }$ ; confidence 1.000

196. m130180134.png ; $ \operatorname { dim } F - \operatorname { dim } E$ ; confidence 1.000

197. f13019032.png ; $d u / d t = L u$ ; confidence 0.998

198. b13010064.png ; $\widetilde{T} ( z ) \rightarrow 0 $ ; confidence 1.000

199. f120110144.png ; $1 / ( 1 - e ^ { 2 \pi i z } )$ ; confidence 0.998

200. a01209055.png ; $J ( R )$ ; confidence 0.998

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

202. c02211032.png ; $p _ { 1 } ( \theta ) + \ldots + p _ { k } ( \theta ) = 1$ ; confidence 0.998

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

204. t12021013.png ; $t ( M ) = 1$ ; confidence 0.998

205. k055840142.png ; $T = T ^ { + }$ ; confidence 0.998

206. p13009030.png ; $\Omega \times \partial \Omega$ ; confidence 0.998

207. s130510132.png ; $c ( w ) < c ( u )$ ; confidence 0.998

208. d12031014.png ; $\alpha f ( T ) + \beta g ( T ) = ( \alpha f + \beta g ) ( T ),$ ; confidence 0.998

209. o1300408.png ; $\phi : [ 0 , T ] \rightarrow M$ ; confidence 0.998

210. m130260159.png ; $b _ { 1 } b _ { 2 } = 0$ ; confidence 0.998

211. b01675013.png ; $y \in C$ ; confidence 0.998

212. s12022024.png ; $( M , \Delta )$ ; confidence 0.998

213. i05023098.png ; $\eta > 0$ ; confidence 0.998

214. h1300501.png ; $\frac { \partial u } { \partial t } = \frac { \partial ^ { 3 } } { \partial x ^ { 3 } } \left( \frac { 1 } { \sqrt { u } } \right)$ ; confidence 0.998

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

216. w12003032.png ; $P _ { \alpha } P _ { \beta } = P _ { \beta } P _ { \alpha } = P _ { \alpha }$ ; confidence 0.998

217. a12025060.png ; $q > n + 1$ ; confidence 0.998

218. s120340166.png ; $U _ { i } = \varphi _ { i } ( ( \pm \infty , 0 ) \times S ^ { 1 } )$ ; confidence 0.998

219. a12023039.png ; $\partial \Omega \in C ^ { 2 }$ ; confidence 0.998

220. p13007047.png ; $( z _ { 1 } , z _ { 2 } ) \in \partial D.$ ; confidence 0.998

221. b12009011.png ; $\frac { \partial f ( z , t ) } { \partial t } = - f ( z , t ) p ( f , t ),$ ; confidence 0.998

222. e120260139.png ; $( v ^ { \prime } , p ^ { \prime } )$ ; confidence 0.998

223. d13013096.png ; $n = - 1$ ; confidence 0.998

224. t12003062.png ; $\equiv K$ ; confidence 0.998

225. p13014032.png ; $f \in C ^ { 2 } ( U )$ ; confidence 0.998

226. d1202509.png ; $\text{l} ^ { 2 }$ ; confidence 0.998

227. e120260141.png ; $\alpha ( d \theta ) = d \theta$ ; confidence 0.998

228. k12005034.png ; $B = \sum _ { j = 1 } ^ { t } B _ { j }$ ; confidence 0.998

229. b13019061.png ; $b ( m )$ ; confidence 0.998

230. a12025091.png ; $k \leq ( n - 1 ) q + n,$ ; confidence 0.998

231. f12010047.png ; $\tau ( m n ) = \tau ( m ) \tau ( n )$ ; confidence 0.998

232. v11006022.png ; $( x , y , 0 )$ ; confidence 0.998

233. w13008096.png ; $M < 2 N$ ; confidence 0.998

234. b11002042.png ; $b ( u , v ) = ( B u , v )$ ; confidence 0.998

235. a0134906.png ; $k \geq 0$ ; confidence 1.000

236. a12025094.png ; $n = q + 1$ ; confidence 0.998

237. g04496018.png ; $\chi ^ { \prime } ( G )$ ; confidence 0.998

238. e13007033.png ; $f ( n ) = \alpha n ^ { k }$ ; confidence 0.998

239. i130060180.png ; $A ( y ) : = A ( 0 , y ) = 0$ ; confidence 0.998

240. f11001012.png ; $z \in A ^ { + }$ ; confidence 0.998

241. f12015046.png ; $( Y ^ { \prime } , X ^ { \prime } )$ ; confidence 0.998

242. s1304803.png ; $D : \Gamma ( \alpha ) \rightarrow \Gamma ( \beta )$ ; confidence 0.998

243. f12023067.png ; $[ P , P ] ^ { \wedge } = 0$ ; confidence 0.998

244. b1202207.png ; $\int \phi ( v ) Q ( f ) ( v ) d v = 0,$ ; confidence 0.998

245. c02154017.png ; $f ( x ) = \chi ( \pi ( x ) )$ ; confidence 0.998

246. e120240120.png ; $f :{ \cal{E}} \rightarrow Y _ { 1 } ( N )$ ; confidence 1.000

247. w1100601.png ; $B ( t , \omega )$ ; confidence 0.998

248. q12001016.png ; $g [ f ] ( x ) = f ( g ^ { - 1 } x )$ ; confidence 0.998

249. p12011016.png ; $2$ ; confidence 0.998

250. b13029098.png ; $h _ { 0 } = h _ { 1 } = 0$ ; confidence 0.998

251. e13002011.png ; ${\cal E} ^ { \prime } ( \Omega )$ ; confidence 1.000

252. e12027018.png ; $\mathcal{O} (\operatorname { log } m )$ ; confidence 1.000

253. c130160142.png ; $\text{ASPACETIME} \, [ s ( n ) , t ( n ) ]$ ; confidence 1.000

254. p13013059.png ; $\epsilon ( \lambda ) = 0$ ; confidence 0.998

255. d13013075.png ; $H_-$ ; confidence 1.000

256. b12018061.png ; $\chi \rightarrow \psi$ ; confidence 0.998

257. e12026066.png ; $\theta _ { 1 } = m / \sigma ^ { 2 }$ ; confidence 0.998

258. b12042024.png ; $1$ ; confidence 0.998

259. d12020023.png ; $\operatorname{meas} \, \{ A \}$ ; confidence 1.000

260. s13049055.png ; $c ( p , q )$ ; confidence 0.998

261. e12019039.png ; $\{ a , x \} \equiv \{ b , x \}$ ; confidence 0.998

262. w13004037.png ; $N : M \rightarrow S ^ { 2 }$ ; confidence 0.998

263. o13006038.png ; $( \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } )$ ; confidence 1.000

264. s1306507.png ; $\Phi _ { - 1 } ( z ) = 0$ ; confidence 0.998

265. n1200106.png ; $\psi : ( u , v ) \rightarrow ( 2 u , 2 v )$ ; confidence 0.998

266. b13010040.png ; $T _ { \varphi } f = P ( \varphi f )$ ; confidence 0.997

267. t12013079.png ; $\dot { y } = A x,$ ; confidence 0.997

268. a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997

269. s130620162.png ; $y ( x , \lambda ) = \frac { \operatorname { sin } x } { 1 + ( 2 x - \operatorname { sin } 2 x ) ^ { 2 } }.$ ; confidence 0.997

270. w12003014.png ; $L _ { \infty } [ 0,1 ]$ ; confidence 0.997

271. f12024041.png ; $t - h ( t ) \rightarrow \infty$ ; confidence 0.997

272. f13001010.png ; $\sigma : R \rightarrow R$ ; confidence 0.997

273. f12014034.png ; $z ( \zeta )$ ; confidence 0.997

274. r08232019.png ; $g ( x , y ; H )$ ; confidence 0.997

275. w12006080.png ; $F \xi$ ; confidence 0.997

276. w120110142.png ; $\iota = 2 \pi {i} $ ; confidence 0.997

277. a13032011.png ; $X _ { k } = 1$ ; confidence 0.997

278. p12014056.png ; $m = 0$ ; confidence 0.997

279. w120070117.png ; $\xi A$ ; confidence 0.997

280. a11044012.png ; $f _ { 1 }$ ; confidence 0.997

281. f12014019.png ; $D ^ { * } ( h )$ ; confidence 0.997

282. s13045046.png ; $( x _ { 1 } - x _ { 2 } ) ( y _ { 1 } - y _ { 2 } ) < 0$ ; confidence 0.997

283. c13016059.png ; $\text{NTIME} \, [ s ( n ) ]$ ; confidence 1.000

284. t120200186.png ; $\phi ( z ) \neq 0$ ; confidence 0.997

285. g04468026.png ; $\phi = 0$ ; confidence 0.997

286. d12018047.png ; $L ^ { \infty } ( X , m )$ ; confidence 0.997

287. w13004052.png ; $\eta ( W ) d g ( W ) \in {\bf{R}}$ ; confidence 1.000

288. b13012033.png ; $| t | > 2$ ; confidence 0.997

289. a130180149.png ; $n > 2$ ; confidence 0.997

290. f120080119.png ; $\Gamma \varphi ( x , y ) = \varphi ( x y ^ { - 1 } )$ ; confidence 0.997

291. b12030036.png ; $y , \xi \in {\bf R }^ { N }$ ; confidence 1.000

292. t12003043.png ; $R ^ { \prime } \backslash E ^ { \prime }$ ; confidence 0.997

293. e120230153.png ; $\sigma _ { t } = \phi _ { t } \circ \sigma$ ; confidence 0.997

294. m12025010.png ; $H : U ^ { \prime } \times I \rightarrow U$ ; confidence 0.997

295. l12006030.png ; $G _ { 0 } ( z ) = ( z - H _ { 0 } ) ^ { - 1 }$ ; confidence 0.997

296. r1301109.png ; $\xi ( s ) : = \frac { 1 } { 2 } s ( s - 1 ) \pi ^ { - s / 2 } \Gamma \left( \frac { s } { 2 } \right) \zeta ( s ),$ ; confidence 0.997

297. e110070172.png ; $\alpha = - 1$ ; confidence 0.997

298. f120230144.png ; $[ A , A ] = 0$ ; confidence 0.997

299. t09356020.png ; $\phi ( x y ) = \phi ( y x )$ ; confidence 0.997

300. m130260136.png ; $\tau : B \rightarrow Q ( A )$ ; confidence 0.997

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/8. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/8&oldid=44852
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