language:

Find link is a tool written by Edward Betts.

searching for NoLimits 92 found (101 total)

alternate case: noLimits

Uniform boundedness principle (1,851 words) [view diff] case mismatch in snippet view article find links to article

F ‖ T ‖ B ( X , Y ) < ∞ . {\displaystyle \sup \nolimits _{T\in F,\|x\|=1}\|T(x)\|_{Y}=\sup \nolimits _{T\in F}\|T\|_{B(X,Y)}<\infty .} The completeness
Arthur–Merlin protocol (1,826 words) [view diff] case mismatch in snippet view article find links to article
z ) = 1 ) ≥ 2 / 3 , {\displaystyle \exists z\in \{0,1\}^{q(n)}\,\Pr \nolimits _{y\in \{0,1\}^{p(n)}}(M(x,y,z)=1)\geq 2/3,} if x is not in L, then ∀ z
Max-flow min-cut theorem (3,349 words) [view diff] case mismatch in snippet view article find links to article
w : ( v , w ) ∈ E } f v w . {\displaystyle \sum \nolimits _{\{u:(u,v)\in E\}}f_{uv}=\sum \nolimits _{\{w:(v,w)\in E\}}f_{vw}.} A flow can be visualized
IP (complexity) (5,514 words) [view diff] case mismatch in snippet view article
{\displaystyle {\text{wt-avg}}_{m_{j+1}}N_{M_{j+1}}:=\sum \nolimits _{m_{j+1}}\Pr \nolimits _{r}[V(w,r,M_{j})=m_{j+1}]N_{M_{j+1}}} where Prr is the probability
Banach space (9,648 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle \|x\|_{\infty }=\sup \nolimits _{i}|x_{i}|} c ℓ1 No No ‖ x ‖ ∞ = sup i | x i | {\displaystyle \|x\|_{\infty }=\sup \nolimits _{i}|x_{i}|} c0 ℓ1 No No
Lieb–Liniger model (1,961 words) [view diff] case mismatch in snippet view article find links to article
x i − x j )   , {\displaystyle H=-\sum \nolimits _{j=1}^{N}\partial ^{2}/\partial x_{j}^{2}+2c\sum \nolimits _{1\leq i<j\leq N}\delta (x_{i}-x_{j})\
Diffeomorphism (3,431 words) [view diff] case mismatch in snippet view article find links to article
) ‖ {\displaystyle d_{K}(f,g)=\sup \nolimits _{x\in K}d(f(x),g(x))+\sum \nolimits _{1\leq p\leq r}\sup \nolimits _{x\in K}\left\|D^{p}f(x)-D^{p}g(x)\right\|}
Necklace (combinatorics) (725 words) [view diff] case mismatch in snippet view article
N k ( n )   =   ∑ d | n M k ( d ) , {\displaystyle N_{k}(n)\ =\ \sum \nolimits _{d|n}M_{k}(d),} where the sum is over all divisors of n, which is equivalent
Karp–Lipton theorem (2,266 words) [view diff] case mismatch in snippet view article find links to article
Pr x [ ∃ y . ϕ ( x , y , z ) ] ≥ 2 3 {\displaystyle z\in L\implies \Pr \nolimits _{x}[\exists y.\phi (x,y,z)]\geq {\tfrac {2}{3}}} z ∉ L ⟹ Pr x [ ∃ y .
Olivia Schneider (1,448 words) [view diff] exact match in snippet view article find links to article
loan her the cash, she steals the money from Oliver and what he made at NoLimits that night and takes off with the money. She then goes for her audition
Tristan von Lahnstein (1,347 words) [view diff] exact match in snippet view article find links to article
very soon in Düsseldorf. He then shows up first at the local coffee bar NoLimits as a mysterious guy, who flirts with no other than the married Tanja von
Cosine similarity (2,359 words) [view diff] case mismatch in snippet view article find links to article
_{1}(a,b)={\frac {\sum \nolimits _{i,j}^{N}s_{ij}a_{i}b_{j}}{{\sqrt {\sum \nolimits _{i,j}^{N}s_{ij}a_{i}a_{j}}}{\sqrt {\sum \nolimits _{i,j}^{N}s_{ij}b_{i}b_{j}}}}}
Maximum score estimator (2,001 words) [view diff] case mismatch in snippet view article find links to article
i}W(\sum \nolimits _{j\in C,j\neq i}1(x_{t,i}b>x_{t,j}b))} Here, ∑ j ∈ C , j ≠ i 1 ( x t , i b > x t , j b ) {\displaystyle \textstyle \sum \nolimits _{j\in
Independence (probability theory) (4,221 words) [view diff] case mismatch in snippet view article
\left(A_{i}\right)_{i\in I}\in \prod \nolimits _{i\in I}\tau _{i}\ :\ \mathrm {P} \left(\bigcap \nolimits _{i\in I}A_{i}\right)=\prod \nolimits _{i\in I}\mathrm {P} \left(A_{i}\right)}
Functional analysis (2,225 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle \sup \nolimits _{T\in F}\|T(x)\|_{Y}<\infty ,} then sup T ∈ F ‖ T ‖ B ( X , Y ) < ∞ . {\displaystyle \sup \nolimits _{T\in F}\|T\|_{B(X
Abel–Jacobi map (1,441 words) [view diff] case mismatch in snippet view article find links to article
was proved by Abel: Suppose that D = ∑ i n i p i {\displaystyle D=\sum \nolimits _{i}n_{i}p_{i}} is a divisor (meaning a formal integer-linear combination
Vapnik–Chervonenkis theory (3,760 words) [view diff] case mismatch in snippet view article find links to article
assumption ∀ x , sup f ∈ F | f ( x ) − P f | < ∞ {\displaystyle \forall x,\sup \nolimits _{f\in {\mathcal {F}}}\vert f(x)-Pf\vert <\infty } ) the class F {\displaystyle
Fatou's theorem (1,004 words) [view diff] case mismatch in snippet view article find links to article
continuous path such that lim t → 1 γ ( t ) = e i θ ∈ S 1 {\displaystyle \lim \nolimits _{t\to 1}\gamma (t)=e^{i\theta }\in S^{1}} . Define Γ α = { z : arg ⁡ z
Stella Mann (Verbotene Liebe) (547 words) [view diff] exact match in snippet view article
challenge. Stella first stalked Christian and Gregor when she entered NoLimits, she even followed them to the old helicopter hangar. When they saw Stella
Holomorphic functional calculus (5,480 words) [view diff] case mismatch in snippet view article find links to article
π i ∫ Γ f ( ζ ) ζ − z d ζ {\displaystyle f(z)={\frac {1}{2\pi i}}\int \nolimits _{\Gamma }{\frac {f(\zeta )}{\zeta -z}}\,d\zeta } for any z in U. The idea
HITS algorithm (1,699 words) [view diff] case mismatch in snippet view article find links to article
t o h u b ( q ) {\displaystyle \mathrm {auth} (p)=\displaystyle \sum \nolimits _{q\in P_{to}}\mathrm {hub} (q)} where P t o {\displaystyle P_{to}} is
Homological conjectures in commutative algebra (1,048 words) [view diff] case mismatch in snippet view article find links to article
of free R-modules such that ⨁ i H i ( G ∙ ) {\displaystyle \bigoplus \nolimits _{i}H_{i}(G_{\bullet })} has finite length but is not 0. Then the (Krull
John Wardley (510 words) [view diff] exact match in snippet view article find links to article
Wicker Man at Alton Towers in 2017. RollerCoaster Tycoon 3 - consultation NoLimits Coaster 2 - technical adviser Creating My Own Nemesis - print edition (April
Tutte polynomial (5,295 words) [view diff] case mismatch in snippet view article find links to article
) ( y − 1 ) k ( A ) + | A | − | V | , {\displaystyle T_{G}(x,y)=\sum \nolimits _{A\subseteq E}(x-1)^{k(A)-k(E)}(y-1)^{k(A)+|A|-|V|},} where k ( A ) {\displaystyle
Disjoint union (868 words) [view diff] case mismatch in snippet view article find links to article
the notation ⋃ ∗ A ∈ C A {\displaystyle {\underset {A\in C}{\,\,\bigcup \nolimits ^{*}\!}}A} is sometimes used. In category theory the disjoint union is
Nojazz (160 words) [view diff] exact match in snippet view article find links to article
Trumpet Pascal Reva : Percussion Jeffrey Mpondo : lead Vocal Nojazz (2002) NoLimits (2004) Have Fun (2005) ZooLand (2009) Live au Sunset (2013) Soul stimulation
Wu–Sprung potential (1,334 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle f^{-1}(x)={\frac {2}{\sqrt {4x+1}}}+{\frac {1}{4\pi }}\int \nolimits _{-{\sqrt {x}}}^{\sqrt {x}}{\frac {dr}{\sqrt {x-r^{2}}}}\left({\frac {\Gamma
Weak operator topology (1,619 words) [view diff] case mismatch in snippet view article find links to article
λ i {\displaystyle \sum \nolimits _{i}\lambda _{i}} converges. Suppose sup α ‖ T α ‖ = k < ∞ , {\displaystyle \sup \nolimits _{\alpha }\|T_{\alpha }\|=k<\infty
Newton's identities (7,486 words) [view diff] case mismatch in snippet view article find links to article
= x 1 k + ⋯ + x n k , {\displaystyle p_{k}(x_{1},\ldots ,x_{n})=\sum \nolimits _{i=1}^{n}x_{i}^{k}=x_{1}^{k}+\cdots +x_{n}^{k},} and for k ≥ 0 denote
Petersen's theorem (1,444 words) [view diff] case mismatch in snippet view article find links to article
that ∑ v ∈ V i deg G ⁡ ( v ) = 2 | E i | + m i , {\displaystyle \sum \nolimits _{v\in V_{i}}\deg _{G}(v)=2|E_{i}|+m_{i},} where Ei is the set of edges
Quantum Byzantine agreement (2,107 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle |\mathrm {Leader} _{i}\rangle ={\tfrac {1}{n^{3/2}}}\sum \nolimits _{a=1}^{n^{3}}|a,a,\ldots ,a\rangle } on n {\displaystyle n} qubits, an
Convex function (4,053 words) [view diff] case mismatch in snippet view article find links to article
convex in x then g ( x ) = sup y ∈ C f ( x , y ) {\displaystyle g(x)=\sup \nolimits _{y\in C}f(x,y)} is convex in x even if C is not a convex set. Composition:
Solution concept (1,755 words) [view diff] case mismatch in snippet view article find links to article
function F : Γ → ⋃ G ∈ Γ 2 S G {\displaystyle F:\Gamma \rightarrow \bigcup \nolimits _{G\in \Gamma }2^{S_{G}}} such that F ( G ) ⊆ S G {\displaystyle F(G)\subseteq
Normal matrix (1,406 words) [view diff] case mismatch in snippet view article find links to article
| λ j | 2 {\displaystyle \operatorname {tr} \left(A^{*}A\right)=\sum \nolimits _{j}\left|\lambda _{j}\right|^{2}} . The Hermitian part 1/2(A + A*) and
Lydia Brandner (1,136 words) [view diff] exact match in snippet view article find links to article
encounter with Sebastian von Lahnstein. They meet at the coffee lounge "NoLimits" and Sebastian immediately begins to fall for the young beautiful blond
Gamma distribution (5,717 words) [view diff] case mismatch in snippet view article find links to article
= s + n , {\displaystyle {\begin{aligned}p'&=p\prod \nolimits _{i}x_{i},\\q'&=q+\sum \nolimits _{i}x_{i},\\r'&=r+n,\\s'&=s+n,\end{aligned}}} where n
Discrete-time Markov chain (3,985 words) [view diff] case mismatch in snippet view article find links to article
\lim \nolimits _{n\rightarrow \infty }p_{ii}^{(n)}} does not exist, although the limit lim n → ∞ p i i ( k n + r ) {\displaystyle \lim \nolimits _{n\rightarrow
Simplex (6,326 words) [view diff] case mismatch in snippet view article find links to article
= ∑ i a i f ( σ i ) {\displaystyle f\left(\sum \nolimits _{i}a_{i}\sigma _{i}\right)=\sum \nolimits _{i}a_{i}f(\sigma _{i})} where the a i {\displaystyle
Harmonic Maass form (1,419 words) [view diff] case mismatch in snippet view article find links to article
k , − 4 π n y ) q n , {\displaystyle f(z)=\sum \nolimits _{n\geq n^{+}}c^{+}(n)q^{n}+\sum \nolimits _{n\leq n^{-}}c^{-}(n)\Gamma (1-k,-4\pi ny)q^{n}
Roller Derby Brasil (759 words) [view diff] case mismatch in snippet view article find links to article
Kozmic Killa Ladies of HellTown 7 Lobster Capital City Derby Dolls 100 Lola Nolimits Sugar Loathe Derby Girls 5 Mariah Bearings Ladies of HellTown 777 Matadora
Weil cohomology theory (894 words) [view diff] case mismatch in snippet view article find links to article
K-algebra H ∗ ( X ) = ⨁ i H i ( X ) {\displaystyle H^{*}(X)=\bigoplus \nolimits _{i}H^{i}(X)} is subject to the following: H i ( X ) {\displaystyle H^{i}(X)}
Étale cohomology (5,049 words) [view diff] case mismatch in snippet view article find links to article
\bigoplus \nolimits _{x\in |X|}H^{0}(i_{x*}\mathbf {Z} )\to \\&\to H^{1}(\mathbf {G} _{m})\to H^{1}(j_{*}\mathbf {G} _{m,K})\to \bigoplus \nolimits _{x\in
Gorenstein ring (1,596 words) [view diff] case mismatch in snippet view article find links to article
Hilbert series f ( t ) = ∑ j dim k ⁡ ( R j ) t j . {\displaystyle f(t)=\sum \nolimits _{j}\dim _{k}(R_{j})t^{j}.} Namely, a graded domain R is Gorenstein if
Lindemann–Weierstrass theorem (3,804 words) [view diff] case mismatch in snippet view article find links to article
j = c ( i ) . {\displaystyle {\begin{aligned}&n_{0}=0,&&\\&n_{i}=\sum \nolimits _{k=1}^{i}m(k),&&i=1,\ldots ,r\\&n=n_{r},&&\\&\alpha _{n_{i-1}+j}=\gamma
Linear complementarity problem (1,944 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle z^{T}w=0} or equivalently ∑ i w i z i = 0. {\displaystyle \sum \nolimits _{i}w_{i}z_{i}=0.} This is the complementarity condition, since it implies
Rebecca Jarvis (1,324 words) [view diff] case mismatch in snippet view article find links to article
Definite symmetric matrix (6,928 words) [view diff] case mismatch in snippet view article find links to article
det ( N ) ∏ i m i i . {\displaystyle \det(M\circ N)\geq \det(N)\prod \nolimits _{i}m_{ii}.} det ( M ∘ N ) ≥ det ( M ) det ( N ) {\displaystyle \det(M\circ
Graded ring (2,666 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle T^{n}V} . The exterior algebra ⋀ ∙ V {\displaystyle \bigwedge \nolimits ^{\bullet }V} and the symmetric algebra S ∙ V {\displaystyle S^{\bullet
Blue Fire (1,021 words) [view diff] exact match in snippet view article find links to article
"2019 Top Steel". Golden Ticket Awards. Amusement Today. September 2019. Retrieved September 12, 2016. NoLimits simulation of Blue Fire (Google Video)
Artin–Verdier duality (775 words) [view diff] case mismatch in snippet view article find links to article
⋯ {\displaystyle \cdots \to H_{c}^{r}(U,F)\to H^{r}(U,F)\to \bigoplus \nolimits _{v\notin U}H^{r}(K_{v},F)\to H_{c}^{r+1}(U,F)\to \cdots } The sum is taken
Fractional Fourier transform (3,539 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle {\mathcal {F}}_{\alpha }\left[\sum \nolimits _{k}b_{k}f_{k}(u)\right]=\sum \nolimits _{k}b_{k}{\mathcal {F}}_{\alpha }\left[f_{k}(u)\right]}
Supersymmetric theory of stochastic dynamics (8,454 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle {\mathcal {W}}=\left\langle \int \dots \int J\left(\prod \nolimits _{\tau }\delta ({\dot {x}}(\tau )-{\mathcal {F}}(x(\tau )))\right)Dx\right\rangle
Motive (algebraic geometry) (4,731 words) [view diff] case mismatch in snippet view article
components: X = ∐ i X i , d i := dim ⁡ X i . {\displaystyle X=\coprod \nolimits _{i}X_{i},\qquad d_{i}:=\dim X_{i}.} If r ∈ Z {\displaystyle r\in \mathbb
Hodge structure (4,807 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle H:=H_{\mathbb {Z} }\otimes _{\mathbb {Z} }\mathbb {C} =\bigoplus \nolimits _{p+q=n}H^{p,q},} H p , q ¯ = H q , p . {\displaystyle {\overline {H^{p
Ann Lewis (1,096 words) [view diff] exact match in snippet view article find links to article
the conclusion of Clinton's 2008 presidential campaign, Lewis founded NoLimits.org, an issue-based educational organization enabling individuals to stay
Oliver Sabel (2,103 words) [view diff] exact match in snippet view article find links to article
that he's right about Rob. But Oliver refuses to believe it, even when NoLimits gets raided by the police when being tipped off by any anonymous call that
Dependent type (2,068 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle \prod _{x:A}B(x)} or ∏ x : A B ( x ) . {\displaystyle \prod \nolimits _{x:A}B(x).} If B : A → U {\displaystyle B:A\to {\mathcal {U}}} is a constant
BPP (complexity) (2,291 words) [view diff] case mismatch in snippet view article
i.o.-DTIME ( 2 n ε ) . {\displaystyle {\textsf {i.o.-SUBEXP}}=\bigcap \nolimits _{\varepsilon >0}{\textsf {i.o.-DTIME}}\left(2^{n^{\varepsilon }}\right)
Banach fixed-point theorem (2,180 words) [view diff] case mismatch in snippet view article find links to article
cnd(x, y) for all x and y, and that ∑ n c n < ∞ . {\displaystyle \sum \nolimits _{n}c_{n}<\infty .} Then T has a unique fixed point. In applications, the
Running Start: Bringing Young Women to Politics (761 words) [view diff] case mismatch in snippet view article find links to article
Hodge conjecture (3,006 words) [view diff] case mismatch in snippet view article find links to article
k Hdg k ⁡ ( X ) {\displaystyle \operatorname {Hdg} ^{*}(X)=\bigoplus \nolimits _{k}\operatorname {Hdg} ^{k}(X)} is generated by Hdg 1 ⁡ ( X ) {\displaystyle
Germ (mathematics) (2,686 words) [view diff] case mismatch in snippet view article
C k ( X , Y ) ⊆ Hom ( X , Y ) {\displaystyle C^{\infty }(X,Y)=\bigcap \nolimits _{k}C^{k}(X,Y)\subseteq {\mbox{Hom}}(X,Y)} of smooth functions and the
Spectral radius (2,510 words) [view diff] case mismatch in snippet view article find links to article
. {\displaystyle \ell ^{2}(G)=\left\{f:V(G)\to \mathbf {R} \ :\ \sum \nolimits _{v\in V(G)}\left\|f(v)^{2}\right\|<\infty \right\}.} Let γ be the adjacency
Mark Ormrod (Royal Marine) (846 words) [view diff] exact match in snippet view article
Plymouth Marjon University in 2018. A documentary about his life entitled NoLimits was released in 2017. Ormrod is married to Becky, and they live in Plymouth
Lifting theory (1,601 words) [view diff] case mismatch in snippet view article find links to article
p p ( μ ) : ( T 0 U n ) ( p ) < U n ( p ) } {\displaystyle N:=\bigcup \nolimits _{n}\left\{p\in \mathrm {Supp} (\mu ):(T_{0}U_{n})(p)<U_{n}(p)\right\}}
Chow's lemma (1,213 words) [view diff] case mismatch in snippet view article find links to article
≠ j X j ) . {\displaystyle U:=\bigsqcup \left(U_{i}\setminus \bigcup \nolimits _{i\neq j}X_{j}\right).} It is not hard to see that each of the disjoint
Gauss–Markov theorem (4,244 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle X_{ij}} . Now, let ∑ j = 1 K λ j β j {\displaystyle \sum \nolimits _{j=1}^{K}\lambda _{j}\beta _{j}} be some linear combination of the coefficients
Holm–Bonferroni method (2,307 words) [view diff] case mismatch in snippet view article find links to article
intersection of all null hypotheses ⋂ i = 1 m H i {\displaystyle \bigcap \nolimits _{i=1}^{m}H_{i}} is not rejected too, such that there exist at least one
Dyadic cubes (1,263 words) [view diff] case mismatch in snippet view article find links to article
( X ∖ ⋃ Q ∈ Δ k Q ) = 0. {\displaystyle \mu \left(X\backslash \bigcup \nolimits _{Q\in \Delta _{k}}Q\right)=0.} All sets Q in Δk have roughly the same
Frequent subtree mining (1,833 words) [view diff] case mismatch in snippet view article find links to article
\forall P\in {\mathcal {P}}:\quad \mathrm {freq} (P,{\mathcal {D}})=\sum \nolimits _{T\in {\mathcal {D}}}d(P,T)\geq \mathrm {minfreq} ,} where d is an anti-monotone
Christian Mann (3,437 words) [view diff] exact match in snippet view article find links to article
Oliver's surprise party, Oliver has a one-night stand with a patron at NoLimits. Jessica tries to convince Oliver not to tell Christian as Christian has
Clifford analysis (3,311 words) [view diff] case mismatch in snippet view article find links to article
< j ≤ n + 1 e i e j ( x i ∂ ∂ x j − x j ∂ ∂ x i ) {\displaystyle \sum \nolimits _{1\leq i<j\leq n+1}e_{i}e_{j}\left(x_{i}{\frac {\partial }{\partial x_{j}}}-x_{j}{\frac
Multiple scattering theory (3,379 words) [view diff] case mismatch in snippet view article find links to article
l m i {\displaystyle \phi _{i}^{in}\left({{\bf {r}}_{i}}\right)=\sum \nolimits _{l,m}{{Y_{lm}}\left({{\bf {r}}_{i}}\right){j_{l}}\left({\alpha
Stone–Čech compactification (2,777 words) [view diff] case mismatch in snippet view article find links to article
take the closure of the image of X in ∏ f : X → K K {\displaystyle \prod \nolimits _{f:X\to K}K} where the product is over all maps from X to compact Hausdorff
Alexandre Arrechea (1,166 words) [view diff] case mismatch in snippet view article find links to article
buildings. His work will be showcased in the upcoming Venice Bienale. 2013 NOLIMITS, Park Avenue Project, New York, NY 2012 Skyline Adrift: Cuban Art and Architecture
Multivariate normal distribution (8,740 words) [view diff] case mismatch in snippet view article find links to article
2 ( x − μ ) T Σ + ( x − μ ) {\displaystyle f(\mathbf {x} )=\left(\det \nolimits ^{*}(2\pi {\boldsymbol {\Sigma }})\right)^{-{\frac {1}{2}}}\,e^{-{\frac
Tensor product of modules (8,283 words) [view diff] case mismatch in snippet view article find links to article
) , {\displaystyle M\otimes _{R}\left(\bigoplus \nolimits _{i\in I}N_{i}\right)=\bigoplus \nolimits _{i\in I}\left(M\otimes _{R}N_{i}\right),} for an
Flat module (3,896 words) [view diff] case mismatch in snippet view article find links to article
module is projective. The direct sum ⨁ i ∈ I M i {\displaystyle \bigoplus \nolimits _{i\in I}M_{i}} is flat if and only if each M i {\displaystyle M_{i}} is
Local linearization method (12,544 words) [view diff] case mismatch in snippet view article find links to article
expression ∑ i = 1 l ϕ i ( A , h ) a i = L e h H r , {\displaystyle \sum \nolimits _{i=1}^{l}\phi _{i}(\mathbf {A} ,h)\mathbf {a} _{i}=\mathbf {L} e^{h\mathbf
Hierarchical equations of motion (2,068 words) [view diff] case mismatch in snippet view article find links to article
density J ( ω ) = ∑ j c j 2 δ ( ω − ω j ) {\displaystyle J(\omega )=\sum \nolimits _{j}c_{j}^{2}\delta (\omega -\omega _{j})} By writing the density matrix
Construction of t-norms (3,677 words) [view diff] case mismatch in snippet view article find links to article
denoted by T = ⨁ i ∈ I ( T i , a i , b i ) , {\displaystyle T=\bigoplus \nolimits _{i\in I}(T_{i},a_{i},b_{i}),} or ( T 1 , a 1 , b 1 ) ⊕ ⋯ ⊕ ( T n , a n
Baker–Campbell–Hausdorff formula (5,424 words) [view diff] case mismatch in snippet view article find links to article
we may interpret lim s → 0 s / ( 1 − e − s ) = 1 {\displaystyle \lim \nolimits _{s\to 0}s/(1-e^{-s})=1} .) We also obtain a simple "braiding identity":
Ring of symmetric functions (3,690 words) [view diff] case mismatch in snippet view article find links to article
sequence α and set m α = ∑ β ∼ α X β . {\displaystyle m_{\alpha }=\sum \nolimits _{\beta \sim \alpha }X^{\beta }.} This symmetric function corresponds to
Valuation ring (3,875 words) [view diff] case mismatch in snippet view article find links to article
}a_{i}X^{i}\right\}} has the valuation v ( f ) = inf a n ≠ 0 n {\displaystyle v(f)=\inf \nolimits _{a_{n}\neq 0}n} . The subring F [ [ X ] ] {\displaystyle \mathbb {F} [[X]]}
Enriques–Kodaira classification (4,147 words) [view diff] case mismatch in snippet view article find links to article
− e = ∑ i , j ( − 1 ) j h i , j . {\displaystyle \tau =4\chi -e=\sum \nolimits _{i,j}(-1)^{j}h^{i,j}.} b ± {\displaystyle b^{\pm }} are the dimensions
Integral element (5,222 words) [view diff] case mismatch in snippet view article find links to article
\sigma } . G fixes the element y = ∏ σ σ ( x ) {\displaystyle y=\prod \nolimits _{\sigma }\sigma (x)} and thus y is purely inseparable over K. Then some
Cartan connection (6,746 words) [view diff] case mismatch in snippet view article find links to article
\varphi \colon \Omega ^{k}(P,V)\cong \Omega ^{0}(P,V\otimes \bigwedge \nolimits ^{k}{\mathfrak {g}}^{*})} given by φ ( β ) ( ξ 1 , ξ 2 , … , ξ k ) = β
BRST quantization (7,784 words) [view diff] case mismatch in snippet view article find links to article
− j = n K i , j {\displaystyle \operatorname {Tot} (K)^{n}=\bigoplus \nolimits _{i-j=n}K^{i,j}} with a differential D = d + δ. The cohomology groups of
Polymer field theory (3,494 words) [view diff] case mismatch in snippet view article find links to article
r ) = ∑ G w ( G ) exp ⁡ [ i G r ] {\displaystyle w(\mathbf {r} )=\sum \nolimits _{\mathbf {G} }w(\mathbf {G} )\exp \left[i\mathbf {G} \mathbf {r} \right]}
Tanja von Lahnstein (8,133 words) [view diff] exact match in snippet view article find links to article
plan goes wrong from the beginning when she is expecting someone in the NoLimits and mistakes Ansgar's cousin Tristan von Lahnstein for the assistance.
Mean field particle methods (8,363 words) [view diff] case mismatch in snippet view article find links to article
) = 1. {\displaystyle 0\leqslant \eta _{n}(x)\leqslant 1,\qquad \sum \nolimits _{x\in S}\eta _{n}(x)=1.} Therefore, Φ {\displaystyle \Phi } is a mapping
Adele ring (17,547 words) [view diff] case mismatch in snippet view article find links to article
\cdots \oplus K_{v}\omega _{n}\cong K_{v}\otimes _{K}L\cong L_{v}=\prod \nolimits _{w|v}L_{w}} For the second we used the map: { K v ⊗ K L → L v α v ⊗ a