Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/53"
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3. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050052.png ; $X \in \mathbf R$ ; confidence 0.592 | 3. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050052.png ; $X \in \mathbf R$ ; confidence 0.592 | ||
− | 4. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024020.png ; $ | + | 4. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024020.png ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592 |
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200172.png ; $r \in [ m + 1 , m + n ( 3 + \pi / k ) ]$ ; confidence 0.592 | 5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200172.png ; $r \in [ m + 1 , m + n ( 3 + \pi / k ) ]$ ; confidence 0.592 | ||
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141. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190102.png ; $d : S \times S \rightarrow \mathbf R$ ; confidence 0.585 | 141. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190102.png ; $d : S \times S \rightarrow \mathbf R$ ; confidence 0.585 | ||
− | 142. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022065.png ; $H ( , \xi ) : D _ { \xi } \rightarrow R$ ; confidence 0.585 | + | 142. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022065.png ; $H ( \cdot , \xi ) : D _ { \xi } \rightarrow R$ ; confidence 0.585 |
143. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980100.png ; $n = 1,2 , \dots$ ; confidence 0.585 | 143. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980100.png ; $n = 1,2 , \dots$ ; confidence 0.585 | ||
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149. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010088.png ; $g = \left( \begin{array} { c c } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.585 | 149. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010088.png ; $g = \left( \begin{array} { c c } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.585 | ||
− | 150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170103.png ; $K ^ { 2 } | + | 150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170103.png ; $K ^ { 2 } \nearrow K ^ { 2 }\times I \searrow \operatorname {pt}$ ; confidence 0.585 |
151. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016048.png ; $\chi_{ \lambda I - T}$ ; confidence 0.585 | 151. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016048.png ; $\chi_{ \lambda I - T}$ ; confidence 0.585 | ||
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158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004076.png ; $u _ { i } ^ { n + 1 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + \widehat { u } _ { i } ^ { + } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( \widehat { f } _ { i - 1 } ^ { + } - \widehat { f } _ { i } ^ { + } ),$ ; confidence 0.584 | 158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004076.png ; $u _ { i } ^ { n + 1 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + \widehat { u } _ { i } ^ { + } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( \widehat { f } _ { i - 1 } ^ { + } - \widehat { f } _ { i } ^ { + } ),$ ; confidence 0.584 | ||
− | 159. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031069.png ; $\operatorname { lim } _ { R } S _ { R } ^ { \delta } f ( x ) = f ( x )$ ; confidence 0.584 | + | 159. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031069.png ; $\operatorname { lim } _ { R } S _ { R } ^ { \delta } \,f ( x ) = f ( x )$ ; confidence 0.584 |
160. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602041.png ; $| \Delta P ( i \omega ) |$ ; confidence 0.584 | 160. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602041.png ; $| \Delta P ( i \omega ) |$ ; confidence 0.584 | ||
− | 161. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031049.png ; $n ( \epsilon , F _ { d } ) \leq \kappa | + | 161. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031049.png ; $n ( \epsilon , F _ { d } ) \leq \kappa \cdot d \cdot \epsilon ^ { - 2 }$ ; confidence 0.584 |
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006038.png ; $\rho _ { N } ^ { \operatorname {TF} }$ ; confidence 0.584 | 162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006038.png ; $\rho _ { N } ^ { \operatorname {TF} }$ ; confidence 0.584 | ||
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182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650460.png ; $\mathbf D$ ; confidence 0.583 | 182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650460.png ; $\mathbf D$ ; confidence 0.583 | ||
− | 183. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007035.png ; $\theta ( t ) - t = \frac { 1 } { 2 \pi } \operatorname {P | + | 183. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007035.png ; $\theta ( t ) - t = \frac { 1 } { 2 \pi } \operatorname {P} \cdot \operatorname {V}\cdot \int _ { 0 } ^ { 2 \pi } \operatorname { log } \rho ( \theta ( s ) ) \operatorname { cot } \frac { t - s } { 2 } d s,$ ; confidence 0.583 |
184. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002014.png ; $g ( u _ { 1 } )$ ; confidence 0.583 | 184. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002014.png ; $g ( u _ { 1 } )$ ; confidence 0.583 | ||
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186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036016.png ; $p _ { x } , p _ { y } , p _ { z }$ ; confidence 0.583 | 186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036016.png ; $p _ { x } , p _ { y } , p _ { z }$ ; confidence 0.583 | ||
− | 187. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027035.png ; $K _ { n , p } ( t ) = \frac { 1 } { p + 1 } \sum _ { k = n - p } ^ { n } D _ { k } ( t ) =$ ; confidence 0.583 | + | 187. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027035.png ; $K _ { n ,\, p } ( t ) = \frac { 1 } { p + 1 } \sum _ { k = n - p } ^ { n } D _ { k } ( t ) =$ ; confidence 0.583 |
188. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840322.png ; $U ( 0 ) = I _ { n }$ ; confidence 0.583 | 188. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840322.png ; $U ( 0 ) = I _ { n }$ ; confidence 0.583 | ||
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216. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005022.png ; $r \leq s \mu$ ; confidence 0.581 | 216. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005022.png ; $r \leq s \mu$ ; confidence 0.581 | ||
− | 217. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k0550707.png ; $H ^ { r } ( M , \mathbf C ) \cong \bigoplus | + | 217. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k0550707.png ; $H ^ { r } ( M , \mathbf C ) \cong \bigoplus \sum_ { p + q = r } H ^ { p , q } ( M ),$ ; confidence 0.581 |
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050256.png ; $P _ { \mathcal{C} } ^ { \# } ( n )$ ; confidence 0.581 | 218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050256.png ; $P _ { \mathcal{C} } ^ { \# } ( n )$ ; confidence 0.581 | ||
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233. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010023.png ; $a_{ 0 } = 0$ ; confidence 0.580 | 233. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010023.png ; $a_{ 0 } = 0$ ; confidence 0.580 | ||
− | 234. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004047.png ; $\overset{ \rightharpoonup} { x } | + | 234. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004047.png ; $\overset{ \rightharpoonup} { x } \cdot \overset{ \rightharpoonup} { v }$ ; confidence 0.580 |
235. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010029.png ; $c _ { i } \neq c _ { j }$ ; confidence 0.580 | 235. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010029.png ; $c _ { i } \neq c _ { j }$ ; confidence 0.580 | ||
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250. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002067.png ; $| x \vee y | \preceq | x | \vee | y | \preceq | x | | y |,$ ; confidence 0.579 | 250. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002067.png ; $| x \vee y | \preceq | x | \vee | y | \preceq | x | | y |,$ ; confidence 0.579 | ||
− | 251. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006042.png ; $\sum _ { j = 1 } ^ { n } a _ { i , j } x _ { j } = \lambda x _ { i }$ ; confidence 0.579 | + | 251. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006042.png ; $\sum _ { j = 1 } ^ { n } a _ { i ,\, j }\, x _ { j } = \lambda x _ { i }$ ; confidence 0.579 |
− | 252. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010070.png ; $\{ \emptyset , \{ \emptyset \} , \{ | + | 252. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010070.png ; $\{ \emptyset , \{ \emptyset \} , \{ \emptyset , \{ \emptyset \} \} \}, \dots$ ; confidence 0.579 |
253. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002031.png ; $N = N ( q , r ) \in \mathbf N$ ; confidence 0.578 | 253. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002031.png ; $N = N ( q , r ) \in \mathbf N$ ; confidence 0.578 | ||
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255. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011028.png ; $\Phi ( z ) = - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \prod _ { m = - \infty } ^ { \infty } ( z - ( z _ { 0 } - m l ) ) \right] =$ ; confidence 0.578 | 255. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011028.png ; $\Phi ( z ) = - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \prod _ { m = - \infty } ^ { \infty } ( z - ( z _ { 0 } - m l ) ) \right] =$ ; confidence 0.578 | ||
− | 256. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110130.png ; $\frac { D \mathbf{v} } { D t } = \frac { \partial \mathbf{v} } { \partial t } + ( \mathbf{v} | + | 256. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110130.png ; $\frac { D \mathbf{v} } { D t } = \frac { \partial \mathbf{v} } { \partial t } + ( \mathbf{v} \cdot \nabla ) \mathbf v .$ ; confidence 0.578 |
257. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001042.png ; $O ^ { \sim } ( n )$ ; confidence 0.578 | 257. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001042.png ; $O ^ { \sim } ( n )$ ; confidence 0.578 | ||
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258. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002012.png ; $y _ { j } > y _ { k }$ ; confidence 0.578 | 258. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002012.png ; $y _ { j } > y _ { k }$ ; confidence 0.578 | ||
− | 259. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005088.png ; $( p - n + i _ { 1 } ) | + | 259. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005088.png ; $( p - n + i _ { 1 } ) \cdot \mu _ { i _ { 1 } , \dots , i _ { r } } - ( i _ { 1 } - i _ { 2 } ) \cdot \mu _ { i _ { 2 } , \dots , i _ { r } } \dots $ ; confidence 0.578 |
260. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002034.png ; $\mu ^ { \prime } ( d x ) = \operatorname { exp } \langle \alpha , x \rangle \mu ( d x )$ ; confidence 0.578 | 260. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002034.png ; $\mu ^ { \prime } ( d x ) = \operatorname { exp } \langle \alpha , x \rangle \mu ( d x )$ ; confidence 0.578 | ||
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267. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012072.png ; $\pi = 1_ Y - D ( \phi )$ ; confidence 0.578 | 267. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012072.png ; $\pi = 1_ Y - D ( \phi )$ ; confidence 0.578 | ||
− | 268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b1201607.png ; $p _ { i k , j} = p _ { k i , j}$ ; confidence 0.578 | + | 268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b1201607.png ; $p _ { i k ,\, j} = p _ { k i ,\, j}$ ; confidence 0.578 |
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n - 1} ) \in F$ ; confidence 0.578 | 269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n - 1} ) \in F$ ; confidence 0.578 | ||
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271. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034047.png ; $S l _ { 2 } ( C )$ ; confidence 0.578 | 271. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034047.png ; $S l _ { 2 } ( C )$ ; confidence 0.578 | ||
− | 272. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054085.png ; $\{ | + | 272. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054085.png ; $\{ \cdot , \cdot \}_p$ ; confidence 0.577 |
273. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100180.png ; $\{ 1 , \ldots , n \}$ ; confidence 0.577 | 273. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100180.png ; $\{ 1 , \ldots , n \}$ ; confidence 0.577 | ||
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295. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006045.png ; $\rho ^ { \operatorname {TF} } _{ Z }$ ; confidence 0.576 | 295. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006045.png ; $\rho ^ { \operatorname {TF} } _{ Z }$ ; confidence 0.576 | ||
− | 296. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005066.png ; $H _ { \operatorname {new} } = H - \frac { H y y ^ { T } H } { y ^ { T } H y } + \frac { s s ^ { T } } { s ^ { T } y } + \phi | + | 296. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005066.png ; $H _ { \operatorname {new} } = H - \frac { H y y ^ { T } H } { y ^ { T } H y } + \frac { s s ^ { T } } { s ^ { T } y } + \phi \cdot w v ^ { T },$ ; confidence 0.576 |
297. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015027.png ; $\operatorname {Index}( T _ { f } ) = \operatorname { dim } \operatorname { Ker } T _ { f } - \operatorname { dim } \text { Coker } T _ { f }$ ; confidence 0.576 | 297. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015027.png ; $\operatorname {Index}( T _ { f } ) = \operatorname { dim } \operatorname { Ker } T _ { f } - \operatorname { dim } \text { Coker } T _ { f }$ ; confidence 0.576 | ||
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298. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022036.png ; $V _ { 1 } = \rho _ { 1 } \oplus \rho _ { 196883}$ ; confidence 0.576 | 298. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022036.png ; $V _ { 1 } = \rho _ { 1 } \oplus \rho _ { 196883}$ ; confidence 0.576 | ||
− | 299. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080125.png ; $( u , v )_ + = \int _ { D } \int _ { D } B ( x , y ) u ( y ) \overline { v ( x ) } d y d x \text { if } H _ { 0 } = L ^ { 2 } ( D ),$ ; confidence 0.576 | + | 299. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080125.png ; $( u , v )_ + = \int _ { D } \int _ { D } B ( x , y ) u ( y ) \overline { v ( x ) } d y d x \;\text { if } H _ { 0 } = L ^ { 2 } ( D ),$ ; confidence 0.576 |
300. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013022.png ; $f ( X ) = X ^ { q ^ { n } } + \sum _ { i = 0 } ^ { n - 1 } ( - 1 ) ^ { n - i } c _ { n , i } X ^ { q ^ { i } } \in K [ X ].$ ; confidence 0.576 | 300. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013022.png ; $f ( X ) = X ^ { q ^ { n } } + \sum _ { i = 0 } ^ { n - 1 } ( - 1 ) ^ { n - i } c _ { n , i } X ^ { q ^ { i } } \in K [ X ].$ ; confidence 0.576 |
Latest revision as of 02:15, 11 June 2020
List
1. ; $B _ { j } ( t , x , D _ { x } ) u = 0 , \text { on } [ 0 , T ] \times \partial \Omega ,\quad j = 1 , \ldots , m,$ ; confidence 0.592
2. ; $L : X _ { P } \rightarrow Y _ { Q }$ ; confidence 0.592
3. ; $X \in \mathbf R$ ; confidence 0.592
4. ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592
5. ; $r \in [ m + 1 , m + n ( 3 + \pi / k ) ]$ ; confidence 0.592
6. ; $d \leq 3$ ; confidence 0.592
7. ; $( \text { Epi } , \text { Mono } ) =$ ; confidence 0.592
8. ; $\widetilde { f } : = \mathcal F f$ ; confidence 0.592
9. ; $s _ { n } = - B _ { n } ^ { - 1 } F ( x _ { n } ) =$ ; confidence 0.592
10. ; $\| e ^ { i \xi A } \| \leq C ( 1 + | \xi | ) ^ { s }$ ; confidence 0.592
11. ; $\mathbf F _ { q } [ z ]$ ; confidence 0.592
12. ; $d _ { k } < 0$ ; confidence 0.592
13. ; $U _ { 1 , \mathfrak p }$ ; confidence 0.592
14. ; $z ^ { - k }$ ; confidence 0.591
15. ; $S ^ { ( r ) } ( f )$ ; confidence 0.591
16. ; $\approx$ ; confidence 0.591
17. ; $d _ { k } < 1$ ; confidence 0.591
18. ; $S _ { C } = \operatorname { Mod } ( ? , C ) / E _ { C }$ ; confidence 0.591
19. ; $i = 1 , \dots , M$ ; confidence 0.591
20. ; $p ( x ) = \overline{1}$ ; confidence 0.591
21. ; $\operatorname {JBW} ^ { * }$ ; confidence 0.591
22. ; $d : G \rightarrow \mathcal C$ ; confidence 0.591
23. ; $\operatorname { gcd } ( p _ { 1 } , \dots , p _ { k } , q ) = 1$ ; confidence 0.591
24. ; $j = 1 , \ldots , m$ ; confidence 0.591
25. ; $\pi ^ { \prime } = 1 _ { Y } - D ( \phi ^ { \prime } )$ ; confidence 0.591
26. ; $\Gamma X$ ; confidence 0.591
27. ; $\Lambda _ { \operatorname {S5} } T$ ; confidence 0.591
28. ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \widehat{\otimes} n }$ ; confidence 0.591
29. ; $I \subset \mathbf{C}$ ; confidence 0.591
30. ; $f * ( x _ { n } )$ ; confidence 0.591
31. ; $\Phi _ { n + 1 } ( z ) = z \Phi _ { n } ( z ) + \rho _ { n + 1 } \Phi _ { n } ^ { * } ( z ),$ ; confidence 0.591
32. ; $a_\lambda = \operatorname { det } ( x _ { i } ^ { \lambda_j } ).$ ; confidence 0.591
33. ; $\mathsf P ( X \leq \lambda - t ) \leq \operatorname { exp } \left( - \frac { \phi ( - t / \lambda ) \lambda ^ { 2 } } { \overline { \Delta } } \right) \leq \operatorname { exp } \left( - \frac { t ^ { 2 } } { 2 \overline { \Delta } } \right).$ ; confidence 0.591
34. ; $\Lambda _ { 2 m + 1 } = \Lambda_{ - ( m + 1 ) , m}$ ; confidence 0.591
35. ; $B _ { \kappa }$ ; confidence 0.591
36. ; $H \cap g ^ { - 1 } H g = \{ 1 \}$ ; confidence 0.591
37. ; $\mu _ { c }$ ; confidence 0.591
38. ; $f _ { x } ( y ) = f ( y - x )$ ; confidence 0.591
39. ; $Y = Z$ ; confidence 0.590
40. ; $U \sim \mathcal U _ { p , p }$ ; confidence 0.590
41. ; $V _ { \text { simp } } ( M ) \neq \emptyset$ ; confidence 0.590
42. ; $M _ { 2 }$ ; confidence 0.590
43. ; $h _ { 1 } , \dots , h _ { \operatorname {l} }$ ; confidence 0.590
44. ; $\mathsf E \mu _ { n } ( x )$ ; confidence 0.590
45. ; $\| f \| _ { 1 } ^ { 2 } = \operatorname { lim } _ { n \rightarrow \infty } \| f _ { n } \| _ { 1 } ^ { 2 } =$ ; confidence 0.590
46. ; $\partial _ { t } ^ { * }$ ; confidence 0.590
47. ; $\langle f , g \rangle = \int _ { D } f \overline{g} d A$ ; confidence 0.590
48. ; $= \frac { 1 } { z - E _ { 0 } } + \frac { 1 } { z - E _ { 0 } } \int _ { 0 } ^ { \infty } d \lambda ( V \phi | \lambda \rangle \langle \lambda | G ( z ) \phi )$ ; confidence 0.590
49. ; $d u = \alpha \wedge d \alpha ^ { n - 1 }$ ; confidence 0.590
50. ; $n$ ; confidence 0.590
51. ; $G ( \mathfrak c , \mathfrak c )$ ; confidence 0.590
52. ; $H _ { \Omega } ^ { n } ( U , \widetilde { \mathcal O } )$ ; confidence 0.590
53. ; $b \downarrow 0$ ; confidence 0.590
54. ; $X \in C ^ { o }$ ; confidence 0.590
55. ; $\mathfrak S ( T )$ ; confidence 0.590
56. ; $d \in D$ ; confidence 0.590
57. ; $\lambda _ { 1 } , \dots , \lambda _ { n }$ ; confidence 0.590
58. ; $\operatorname {spin}^ { c }$ ; confidence 0.590
59. ; $\widetilde { t }$ ; confidence 0.589
60. ; $( \alpha _ { 1 } , \dots , \alpha _ { q } )$ ; confidence 0.589
61. ; $\widehat { c } ^ { 1 } k \geq 0$ ; confidence 0.589
62. ; $[- \pi , \pi ]$ ; confidence 0.589
63. ; $R_l = \{ ( i , j ) : a _ { i , j } = 1 \}$ ; confidence 0.589
64. ; $\mathcal F \subset L _ { 1 } ( S \times T )$ ; confidence 0.589
65. ; $j = 0$ ; confidence 0.589
66. ; $\operatorname {Ker} d f_x$ ; confidence 0.589
67. ; $\widehat { f } ( m ) = \int _ { \mathcal T ^ { n } } f ( x ) e ^ { - 2 \pi i x m } d x$ ; confidence 0.589
68. ; $\langle T _ { n } \rangle = ( - A ^ { 2 } - A ^ { - 2 } ) ^ { n - 1 }.$ ; confidence 0.589
69. ; $\mathbf t = ( t _ { j } )$ ; confidence 0.589
70. ; $\gamma_j$ ; confidence 0.589
71. ; $\mathfrak { V } ^ { \prime \prime } = ( A _ { 1 } ^ { \prime \prime } , A _ { 2 } ^ { \prime \prime } , \mathcal{H} ^ { \prime \prime } , \Phi ^ { \prime \prime } , \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } , \gamma ^ { \prime \prime } , \widetilde { \gamma } ^ { \prime \prime } )$ ; confidence 0.589
72. ; $f : J \times G \rightarrow \mathbf{R} ^ { m }$ ; confidence 0.589
73. ; $\mathcal H _ { \epsilon } ^ { \prime } ( \xi ) = \operatorname { inf } \left\{ I ( \xi , \xi ^ { \prime } ) : \xi ^ { \prime } \in W _ { \epsilon } \right\},$ ; confidence 0.589
74. ; $\operatorname {RM} ( 1 , m )$ ; confidence 0.589
75. ; $d ^ { k } = - \operatorname { grad } _ { H _ { k } ^ { - 1 } } f ( x ^ { k } ),$ ; confidence 0.589
76. ; $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 11,\; 3 ^ { 5 } \cdot 5 ^ { 2 } \cdot 13,\; 3 ^ { 4 } \cdot 5 ^ { 2 } \cdot 13 ^ { 2 } ,\; 3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 13 ^ { 2 }.$ ; confidence 0.589
77. ; $( b _ { i } a _ { i j } + b _ { j } a _ { j i } - b _ { i } b _ { j } ) _ { i , j = 1 } ^ { s }$ ; confidence 0.589
78. ; $P ^ { \prime } \subseteq P$ ; confidence 0.589
79. ; $\frac { D v _ { i } } { D t } = \frac { \partial v _ { i } } { \partial t } + v _ { k } v _ { i , k}$ ; confidence 0.589
80. ; $( \lambda z ( x z ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } \cdot ( x z ^ { \prime } ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } ( ( z z ) z ^ { \prime } ) ) \not \equiv$ ; confidence 0.589
81. ; $\square _ { k }\operatorname {Mod}$ ; confidence 0.588
82. ; $a, p _ { 1 } , \dots , p _ { s }$ ; confidence 0.588
83. ; $U ^ { i } ( f ) = \sum _ { j = 1 } ^ { m _ { i } } f ( x _ { j } ^ { i } ) \cdot a _ { j } ^ { i }.$ ; confidence 0.588
84. ; $\sigma ^ { \prime \prime }$ ; confidence 0.588
85. ; $g : \Theta \rightarrow \mathbf R$ ; confidence 0.588
86. ; $b : U \times U \rightarrow \mathbf R$ ; confidence 0.588
87. ; $M ( A _ { n } ) \cong \left\{ \begin{array} { l l } { \mathbf Z _ { 2 } } & { \text { if } n \geq 4 , n \neq 6,7, } \\ { \mathbf Z _ { 6 } } & { \text { if } n = 6,7, } \\ { \{ e \} } & { \text { if } n < 4. } \end{array} \right.$ ; confidence 0.588
88. ; $A _ { i } A _ { j } = A _ { j } A _ { i }$ ; confidence 0.588
89. ; $c ( A ) \subset \mathbf R \cup \{ \infty \}$ ; confidence 0.588
90. ; $d \pi _ { e } Z _ { e } = 0$ ; confidence 0.588
91. ; $F ( t ) = F _ { \phi } ( f ) = \int _ { \partial D _ { m } } f ( z ) \phi ( w ) \omega ( z , w ).$ ; confidence 0.588
92. ; $H _ { d } ^ { k }$ ; confidence 0.588
93. ; $( \infty , 0 , \ldots , 0 )$ ; confidence 0.588
94. ; $c _ { l } \in H ^ { 1 } ( G ( \overline { \mathbf Q } / \mathbf Q ) ; \operatorname { Sym } ^ { 2 } T _ { p } ( E ) )$ ; confidence 0.588
95. ; $F ^ { n } ( E _ { z } ( a , R ) ) \subset F _ { z } ( a , R )$ ; confidence 0.588
96. ; $( W _ { u } f ) ( x , t ) = ( f ^ { * } u _ { t } ) ( x )$ ; confidence 0.588
97. ; $[ \operatorname { log } a ] _ { k }$ ; confidence 0.588
98. ; $N ( 0 , \Sigma )$ ; confidence 0.587
99. ; $\uparrow$ ; confidence 0.587
100. ; $\mathcal S ^ { \prime } ( \mathbf R ^ { n } )$ ; confidence 0.587
101. ; $a = J ^ { - 1 / 2 } b$ ; confidence 0.587
102. ; $\mathcal H ( \mathbf C ^ { n } ) ^ { \prime }$ ; confidence 0.587
103. ; $\nu = ( \nu _ { 1 } , \dots , \nu _ { k } )$ ; confidence 0.587
104. ; $T _ { x } M$ ; confidence 0.587
105. ; $\operatorname {SS} _ { \mathcal H } = \| \widehat { \eta } _ { \Omega } - \widehat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587
106. ; $x ( 0 ) \in L _ { - }$ ; confidence 0.587
107. ; $B ( n ) = \Sigma ^ { n } D T ( n ),$ ; confidence 0.587
108. ; $z \in \mathbf T$ ; confidence 0.587
109. ; $\lambda _ { m } ( \eta )$ ; confidence 0.587
110. ; $\widetilde{\mu} ( \zeta ) = \mu \left( \frac { 1 } { ( 1 + \langle \cdot , \zeta \rangle ) } \right).$ ; confidence 0.587
111. ; $0 \leq i \in \mathbf Z$ ; confidence 0.587
112. ; $X _ { \mathbf Z }$ ; confidence 0.587
113. ; $b _ { j } ^ { n }$ ; confidence 0.587
114. ; $P _ { 4 }$ ; confidence 0.587
115. ; $\operatorname { SPSH } ( \Omega \times \Omega )$ ; confidence 0.587
116. ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , \mathcal H , \Phi , \mathcal E , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \widetilde { \gamma } ).$ ; confidence 0.587
117. ; $k \in \mathbf Z ^ { + }$ ; confidence 0.587
118. ; $x _ { 0 } ^ { - 1 } \delta \left( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } \right) = \sum _ { n \in \mathbf Z } \frac { ( x _ { 1 } - x _ { 2 } ) ^ { n } } { x _ { 0 } ^ { n + 1 } } =$ ; confidence 0.587
119. ; $\otimes ^ { * } \mathcal E$ ; confidence 0.587
120. ; $r \geq | \lambda |$ ; confidence 0.587
121. ; $G _ { X } \leq C ( 1 + G _ { X } ^ { \sigma } ( X - Y ) ) ^ { N } G _ { Y }.$ ; confidence 0.586
122. ; $h_{i j} \geq 0$ ; confidence 0.586
123. ; $\widetilde { N } = N \times ( 0 , \infty ) \times ( - 1 , + 1 )$ ; confidence 0.586
124. ; $\widetilde { \xi }_i$ ; confidence 0.586
125. ; $\mathsf E ( \mathbf y ) = \mathbf X \beta$ ; confidence 0.586
126. ; $Q ( a - b ) = Q ( c - d )$ ; confidence 0.586
127. ; $\left\{ \begin{array} { l } { \frac { d u } { d t } + A ( t , u ) u = f ( t , u ) , \quad t \in [ 0 , T ], } \\ { u ( 0 ) = u _ { 0 }, } \end{array} \right.$ ; confidence 0.586
128. ; $S _ { n } = \sum _ { 1 } ^ { n } X _ { i }\; \text { for } \ n \geq 1 , \text { and for } \ t \geq 0 ,\; N ( t ) = k \;\text { if } S _ { k } \leq t < S _ { k + 1 } \;\text { for } k = 0,1, \dots ,$ ; confidence 0.586
129. ; $\operatorname {BPP}$ ; confidence 0.586
130. ; $\eta = \mathsf E ( \mathbf y )$ ; confidence 0.586
131. ; $\sigma _ { x _ { 0 } , \xi _ { 0 } }$ ; confidence 0.586
132. ; $\operatorname { dim } A _ { \mathfrak { p } } = \operatorname { dim } A - \operatorname { dim } A / \mathfrak { p }$ ; confidence 0.586
133. ; $\alpha \in \Pi ^ { \operatorname {im} }$ ; confidence 0.586
134. ; $c \in \mathbf R$ ; confidence 0.586
135. ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585
136. ; $N > Z$ ; confidence 0.585
137. ; $\{ e u : u \in U \}$ ; confidence 0.585
138. ; $\operatorname {Alg}( L )$ ; confidence 0.585
139. ; $d t = d t _ { 2 } \wedge \ldots \wedge d t _ { n }$ ; confidence 0.585
140. ; $\operatorname { Sp } ( 2 n , \mathbf R )$ ; confidence 0.585
141. ; $d : S \times S \rightarrow \mathbf R$ ; confidence 0.585
142. ; $H ( \cdot , \xi ) : D _ { \xi } \rightarrow R$ ; confidence 0.585
143. ; $n = 1,2 , \dots$ ; confidence 0.585
144. ; $s _ { j } \in C _ { j }$ ; confidence 0.585
145. ; $\mathsf P \{ X - Y \geq s \} = F _ { 2 s } ( x ; \lambda ).$ ; confidence 0.585
146. ; $( x , y , y ^ { \prime } , \dots , y ^ { ( k ) } ),$ ; confidence 0.585
147. ; $H _ { l } ^ { i } ( \overline { X } ) = H ^ { i } ( \overline{X} , \mathbf Z _ { l } ) \otimes \mathbf Q _ { l }$ ; confidence 0.585
148. ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in \mathbf Z }$ ; confidence 0.585
149. ; $g = \left( \begin{array} { c c } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.585
150. ; $K ^ { 2 } \nearrow K ^ { 2 }\times I \searrow \operatorname {pt}$ ; confidence 0.585
151. ; $\chi_{ \lambda I - T}$ ; confidence 0.585
152. ; $g _ { n } \in L ^ { 2 } ( [ 0,1 ] ^ { n } )$ ; confidence 0.585
153. ; $Z = 0$ ; confidence 0.585
154. ; $d + 1$ ; confidence 0.585
155. ; $A ( \widehat{K} )$ ; confidence 0.585
156. ; $D _ { t } ^ { * }$ ; confidence 0.585
157. ; $v _ { t } ( x ) = t ^ { - n } v ( x / t )$ ; confidence 0.585
158. ; $u _ { i } ^ { n + 1 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + \widehat { u } _ { i } ^ { + } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( \widehat { f } _ { i - 1 } ^ { + } - \widehat { f } _ { i } ^ { + } ),$ ; confidence 0.584
159. ; $\operatorname { lim } _ { R } S _ { R } ^ { \delta } \,f ( x ) = f ( x )$ ; confidence 0.584
160. ; $| \Delta P ( i \omega ) |$ ; confidence 0.584
161. ; $n ( \epsilon , F _ { d } ) \leq \kappa \cdot d \cdot \epsilon ^ { - 2 }$ ; confidence 0.584
162. ; $\rho _ { N } ^ { \operatorname {TF} }$ ; confidence 0.584
163. ; $\Lambda _ { D _ { + } } ^ { * } ( a , x ) - \Lambda _ { D _ { - } } ^ { * } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ^ { * } ( a , x ) - \Lambda _ { D _ { \infty } } ^ { * } ( a , x ) )$ ; confidence 0.584
164. ; $M \rightarrow \operatorname { Aut } ( M )$ ; confidence 0.584
165. ; $y = ( y ^ { 1 } , \dots , y ^ { m } )$ ; confidence 0.584
166. ; $\| f _ { n } \| \rightarrow \| f \|$ ; confidence 0.584
167. ; $\mu _ { p }$ ; confidence 0.584
168. ; $I _ { 1 } ( k ) = \frac { f _ { 1 } ^ { \prime } ( 0 , k ) } { f _ { 1 } ( k ) } = \frac { f _ { 2 } ^ { \prime } ( 0 , k ) } { f _ { 2 } ( k ) } = I _ { 2 } ( k )$ ; confidence 0.584
169. ; $\cup _ { n \geq 0 } k ( \mu _ { p ^ n} )$ ; confidence 0.584
170. ; $a = 1$ ; confidence 0.584
171. ; $\langle x _ { t } , y _ { t } , c _ { t } \rangle$ ; confidence 0.584
172. ; $q _ { \mathcal B } ( v ) \geq 0$ ; confidence 0.584
173. ; $\mathsf E [ \mathbf Z _ { 32 } , \mathbf Z _ { 33 } ] = 0$ ; confidence 0.584
174. ; $\Gamma \subset \operatorname {SL} _ { 2 } ( \mathbf Z )$ ; confidence 0.584
175. ; $u ( x , t ) = U = f _ { g } ( \theta _ { 1 } , \ldots , \theta _ { g } ),$ ; confidence 0.584
176. ; $d ^ { * } : \{ 0,1 \} ^ { n } \rightarrow \mathbf R$ ; confidence 0.584
177. ; $= \sum _ { i = 0 } ^ { p - 1 } L ( x _ { i } ) L ^ { * } ( x _ { i } ) - \sum _ { i = 0 } ^ { q - 1 } L ( y _ { i } ) L ^ { * } ( y _ { i } ).$ ; confidence 0.584
178. ; $k _ { \mathfrak p }$ ; confidence 0.584
179. ; $S ( m , g _ { k } )$ ; confidence 0.584
180. ; $W _ { \tau } ( k )$ ; confidence 0.583
181. ; $\{ \operatorname {l} ( T , x ) : x \in \mathbf R \}$ ; confidence 0.583
182. ; $\mathbf D$ ; confidence 0.583
183. ; $\theta ( t ) - t = \frac { 1 } { 2 \pi } \operatorname {P} \cdot \operatorname {V}\cdot \int _ { 0 } ^ { 2 \pi } \operatorname { log } \rho ( \theta ( s ) ) \operatorname { cot } \frac { t - s } { 2 } d s,$ ; confidence 0.583
184. ; $g ( u _ { 1 } )$ ; confidence 0.583
185. ; $t \sim $ ; confidence 0.583
186. ; $p _ { x } , p _ { y } , p _ { z }$ ; confidence 0.583
187. ; $K _ { n ,\, p } ( t ) = \frac { 1 } { p + 1 } \sum _ { k = n - p } ^ { n } D _ { k } ( t ) =$ ; confidence 0.583
188. ; $U ( 0 ) = I _ { n }$ ; confidence 0.583
189. ; $A \subseteq P$ ; confidence 0.583
190. ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t_{i} ^ { 2 } + e _ { i }$ ; confidence 0.583
191. ; $\frac { \partial u } { \partial \lambda } ( z , \lambda _ { 1 } ) = ( \operatorname { log } z ) z ^ { \lambda _ { 1 } }$ ; confidence 0.583
192. ; $x _ { ij }$ ; confidence 0.583
193. ; $\widetilde { H } ^ { 1 } ( \Gamma , k , \mathbf v ; P ( k ) )$ ; confidence 0.583
194. ; $\dot { x } ( t - g _ { 1 } ( t ) ) , \ldots , \dot { x } ( t - g_{l} ( t ) ) ).$ ; confidence 0.583
195. ; $\mathbf x = ( x _ { 1 } , \dots , x _ { m } ) ^ { T }$ ; confidence 0.583
196. ; $S ^ { 1 } \vee \ldots \vee S ^ { 1 }$ ; confidence 0.583
197. ; $L ^ { 1 } ( \mathbf T ^ { n } )$ ; confidence 0.583
198. ; $\mathcal U$ ; confidence 0.583
199. ; $\phi ^ { + }$ ; confidence 0.582
200. ; $\operatorname {ord} ( D )$ ; confidence 0.582
201. ; $a ^ { w } : H ( m m _ { 1 } , G ) \rightarrow H ( m _ { 1 } , G )$ ; confidence 0.582
202. ; $\operatorname { lim } _ { n \rightarrow \infty } \mathsf E _ { \mathsf P } [ ( d _ { n } ^ { * } - d ^ { * } ) ^ { 2 } ] = 0$ ; confidence 0.582
203. ; $( \psi [ 1 ] \varphi ) _ y = \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) _ y.$ ; confidence 0.582
204. ; $\omega ^ { 0 } = \int \Sigma _ { g } \langle \delta A , \delta \overline { A } \rangle$ ; confidence 0.582
205. ; $\operatorname {Mod}_{\mathcal S _ { P }}$ ; confidence 0.582
206. ; $p ( \lambda _ { 1 } , \lambda _ { 2 } ) = ( f ( \lambda _ { 1 } , \lambda _ { 2 } ) ) ^ { r }$ ; confidence 0.582
207. ; $B = I$ ; confidence 0.582
208. ; $\epsilon ( a , b , c , d )$ ; confidence 0.582
209. ; $n > 10 ^ { 10 }$ ; confidence 0.582
210. ; $\mathcal{Z} _ { m + 1 } ^ { \pi }$ ; confidence 0.582
211. ; $\beta . = 0$ ; confidence 0.582
212. ; $\operatorname { lim } _ { r \rightarrow \infty } \int _ { |x| = r } \left| \frac { \partial v } { \partial r } - i k v \right| ^ { 2 } d s = 0,$ ; confidence 0.581
213. ; $a$ ; confidence 0.581
214. ; $\theta = \theta ( a _ { 0 } , a _ { 1 } ) > 1$ ; confidence 0.581
215. ; $( t ^ { * } ) ^ { - 1 } \circ ( t - r ) ^ { * } \beta _ { 1 } = k \beta _ { 2 }$ ; confidence 0.581
216. ; $r \leq s \mu$ ; confidence 0.581
217. ; $H ^ { r } ( M , \mathbf C ) \cong \bigoplus \sum_ { p + q = r } H ^ { p , q } ( M ),$ ; confidence 0.581
218. ; $P _ { \mathcal{C} } ^ { \# } ( n )$ ; confidence 0.581
219. ; $\delta ( a b ) = a \delta ( b ) + b \delta ( a )$ ; confidence 0.581
220. ; $M A ( G )$ ; confidence 0.581
221. ; $\left( \begin{array} { c } { [ n ] } \\ { ( n + 1 ) / 2 } \end{array} \right)$ ; confidence 0.581
222. ; $F = - k _ { B } T \operatorname { ln } \lambda _ { + } =$ ; confidence 0.581
223. ; $T _ { p }$ ; confidence 0.580
224. ; $\underline { v } = g ( \overline { u } _ { 1 } )$ ; confidence 0.580
225. ; $h ( F _ { \mathcal S _ { P } } \mathfrak { M } ^ { * L} ) = F _ { \mathcal S _ { P } } \mathfrak { N } ^ { * L}$ ; confidence 0.580
226. ; $S \in A ^ { + }$ ; confidence 0.580
227. ; $b _ { 2 } ( \mathcal{S} ) \leq 1$ ; confidence 0.580
228. ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau ,$ ; confidence 0.580
229. ; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right) \leq m$ ; confidence 0.580
230. ; $\phi ( z ) = z ^ { k } + a _ { 1 } z ^ { k - 1 } + \ldots + a _ { k }$ ; confidence 0.580
231. ; $\Delta _ { n }$ ; confidence 0.580
232. ; $h ( z ) = 1 + c _ { 1 } z + c _ { 2 } z ^ { 2 } + \ldots$ ; confidence 0.580
233. ; $a_{ 0 } = 0$ ; confidence 0.580
234. ; $\overset{ \rightharpoonup} { x } \cdot \overset{ \rightharpoonup} { v }$ ; confidence 0.580
235. ; $c _ { i } \neq c _ { j }$ ; confidence 0.580
236. ; $A ^ { * }$ ; confidence 0.580
237. ; $\operatorname {ind} ( D )$ ; confidence 0.580
238. ; $u ^ { q }$ ; confidence 0.580
239. ; $T P ^ { 1 }$ ; confidence 0.579
240. ; $\| \varphi \|_{ MA(G)} = \| M_\varphi \|$ ; confidence 0.579
241. ; $e ^ { \xi ( u ) } = 1 + u \xi ( u )$ ; confidence 0.579
242. ; $u ( x , 0 ) = u_0 ( x ),$ ; confidence 0.579
243. ; $\Omega = ( 1,0,0 , \dots )$ ; confidence 0.579
244. ; $\operatorname {CH} ^ { i } ( X , j )$ ; confidence 0.579
245. ; $\geq \frac { 1 } { 8 } \left( \frac { n - 1 } { 8 e ( m + n ) } \right) ^ { n } \operatorname { min }_ j | b _ { 1 } + \ldots + b _ { j } |.$ ; confidence 0.579
246. ; $T _ { m } = \epsilon t _ { m }$ ; confidence 0.579
247. ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s,$ ; confidence 0.579
248. ; $B ( z ) = C \prod _ { j = 1 } ^ { \kappa } \frac { z - \alpha_ j } { 1 - \overline { \alpha }_ j z },$ ; confidence 0.579
249. ; $\mathbf x = [ x _ { 1 } \ldots x _ { n } ] ^ { T }$ ; confidence 0.579
250. ; $| x \vee y | \preceq | x | \vee | y | \preceq | x | | y |,$ ; confidence 0.579
251. ; $\sum _ { j = 1 } ^ { n } a _ { i ,\, j }\, x _ { j } = \lambda x _ { i }$ ; confidence 0.579
252. ; $\{ \emptyset , \{ \emptyset \} , \{ \emptyset , \{ \emptyset \} \} \}, \dots$ ; confidence 0.579
253. ; $N = N ( q , r ) \in \mathbf N$ ; confidence 0.578
254. ; $\operatorname { Succ } ( x ) = \{ y : x <_ P y \}$ ; confidence 0.578
255. ; $\Phi ( z ) = - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \prod _ { m = - \infty } ^ { \infty } ( z - ( z _ { 0 } - m l ) ) \right] =$ ; confidence 0.578
256. ; $\frac { D \mathbf{v} } { D t } = \frac { \partial \mathbf{v} } { \partial t } + ( \mathbf{v} \cdot \nabla ) \mathbf v .$ ; confidence 0.578
257. ; $O ^ { \sim } ( n )$ ; confidence 0.578
258. ; $y _ { j } > y _ { k }$ ; confidence 0.578
259. ; $( p - n + i _ { 1 } ) \cdot \mu _ { i _ { 1 } , \dots , i _ { r } } - ( i _ { 1 } - i _ { 2 } ) \cdot \mu _ { i _ { 2 } , \dots , i _ { r } } \dots $ ; confidence 0.578
260. ; $\mu ^ { \prime } ( d x ) = \operatorname { exp } \langle \alpha , x \rangle \mu ( d x )$ ; confidence 0.578
261. ; $h \in G$ ; confidence 0.578
262. ; $\mathbf{O}$ ; confidence 0.578
263. ; $\varrho = e ^ { p } : B \rightarrow \mathbf C ^ { * }$ ; confidence 0.578
264. ; $1 , \dots , | \lambda |$ ; confidence 0.578
265. ; $\dot { x } ( t ) = f ( t , x ( t - h _ { 1 } ( t ) ) , \ldots , x ( t - h _ { k } ( t ) ) ),$ ; confidence 0.578
266. ; $( \mathcal C , \otimes , \Phi , \underline { 1 } , l , r )$ ; confidence 0.578
267. ; $\pi = 1_ Y - D ( \phi )$ ; confidence 0.578
268. ; $p _ { i k ,\, j} = p _ { k i ,\, j}$ ; confidence 0.578
269. ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n - 1} ) \in F$ ; confidence 0.578
270. ; $1 _ { n } = 0$ ; confidence 0.578
271. ; $S l _ { 2 } ( C )$ ; confidence 0.578
272. ; $\{ \cdot , \cdot \}_p$ ; confidence 0.577
273. ; $\{ 1 , \ldots , n \}$ ; confidence 0.577
274. ; $\frac { 1 } { n } G _ { p , n } \stackrel { \omega } { \rightarrow } G,$ ; confidence 0.577
275. ; $\mathcal N _ { \epsilon } ^ { \prime }$ ; confidence 0.577
276. ; $\mu _ { R } ( M ) \leq$ ; confidence 0.577
277. ; $V = \left( \begin{array} { l l } { T } & { F } \\ { G } & { H } \end{array} \right)$ ; confidence 0.577
278. ; $S _ { t } = c _ { 0 } + c _ { 1 } u _ { t } + c _ { 1 } \lambda u _ { t - 1 } + c _ { 1 } \lambda ^ { 2 } u _ { t - 2 } + \ldots + \mu _ { t },$ ; confidence 0.577
279. ; $\{ P _ { n , \theta } \}$ ; confidence 0.577
280. ; $\operatorname {QS} ( \mathbf R )$ ; confidence 0.577
281. ; $\Delta ^ { 2 } F$ ; confidence 0.577
282. ; $g : \mathbf R ^ { 2 n } \rightarrow \mathbf R$ ; confidence 0.577
283. ; $A _ { i j }$ ; confidence 0.577
284. ; $i = 0,1 , \ldots$ ; confidence 0.577
285. ; $\lambda : \mathbf R ^ { n } \rightarrow \mathbf R ^ { q }$ ; confidence 0.577
286. ; $v _ { M } = v ^ { * }$ ; confidence 0.577
287. ; $= \widetilde { N }$ ; confidence 0.576
288. ; $\pi ( g \times ^ { \varrho } \mathbf f ) = g H$ ; confidence 0.576
289. ; $v \in \mathbf N ^ { Q _ 0}$ ; confidence 0.576
290. ; $K _ { 7 , 7}$ ; confidence 0.576
291. ; $c : \mathcal X \rightarrow \{ 0,1 \}$ ; confidence 0.576
292. ; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { n } |$ ; confidence 0.576
293. ; $g : B _ { R } \rightarrow R _ { R }$ ; confidence 0.576
294. ; $\mathcal H _ { \epsilon } ^ { \prime \prime } \leq \mathcal H _ { \epsilon / 2 },$ ; confidence 0.576
295. ; $\rho ^ { \operatorname {TF} } _{ Z }$ ; confidence 0.576
296. ; $H _ { \operatorname {new} } = H - \frac { H y y ^ { T } H } { y ^ { T } H y } + \frac { s s ^ { T } } { s ^ { T } y } + \phi \cdot w v ^ { T },$ ; confidence 0.576
297. ; $\operatorname {Index}( T _ { f } ) = \operatorname { dim } \operatorname { Ker } T _ { f } - \operatorname { dim } \text { Coker } T _ { f }$ ; confidence 0.576
298. ; $V _ { 1 } = \rho _ { 1 } \oplus \rho _ { 196883}$ ; confidence 0.576
299. ; $( u , v )_ + = \int _ { D } \int _ { D } B ( x , y ) u ( y ) \overline { v ( x ) } d y d x \;\text { if } H _ { 0 } = L ^ { 2 } ( D ),$ ; confidence 0.576
300. ; $f ( X ) = X ^ { q ^ { n } } + \sum _ { i = 0 } ^ { n - 1 } ( - 1 ) ^ { n - i } c _ { n , i } X ^ { q ^ { i } } \in K [ X ].$ ; confidence 0.576
Maximilian Janisch/latexlist/latex/NoNroff/53. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/53&oldid=49691