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searching for NoLimits 94 found (101 total)

alternate case: noLimits

Uniform boundedness principle (1,871 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
Banach space (8,997 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
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 (3,333 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}} holds. 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
Distribution (mathematics) (8,089 words) [view diff] case mismatch in snippet view article
\left\langle \sum \nolimits _{|\alpha |\leq k}p_{\alpha }\partial ^{\alpha }T,\varphi \right\rangle =\left\langle T,\sum \nolimits _{|\alpha |\leq k}(-1)^{|\alpha
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 (3,446 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\|}
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 .
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
Olivia Schneider (1,436 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
Necklace (combinatorics) (726 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
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
Maximum score estimator (1,996 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
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
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
Cosine similarity (2,423 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}}}}}
Independence (probability theory) (4,223 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)}
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
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
Functional analysis (2,241 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
Tutte polynomial (5,310 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
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
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
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
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
Wu–Sprung potential (1,339 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
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
Normal matrix (1,242 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
Convex function (3,929 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:
John Wardley (500 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
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
Gamma distribution (5,640 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
Solution concept (1,758 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
Markov chain (15,534 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
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
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
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
Simplex (6,334 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 (1,427 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}
Definiteness of a matrix (6,645 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
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 (5,100 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
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
Supersymmetric theory of stochastic dynamics (8,452 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
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
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
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
Spectral radius (2,375 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
Blue Fire (998 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)
List of Verbotene Liebe minor characters (6,373 words) [view diff] exact match in snippet view article find links to article
contact for Oliver Sabel to influence the party scene in Düsseldorf with the NoLimits. Oliver is impressed by Robert's ideas, which soon leads to tension with
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
Rebecca Jarvis (1,304 words) [view diff] case mismatch in snippet view article find links to article
Linear complementarity problem (1,901 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
BPP (complexity) (2,275 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 (2,137 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
Oscillator representation (21,581 words) [view diff] case mismatch in snippet view article find links to article
^ ( 2 π n a ) , {\displaystyle \sum \nolimits _{n\in \mathbf {Z} }f(na)={\frac {\sqrt {2\pi }}{a}}\sum \nolimits _{n\in \mathbf {Z} }{\widehat {f}}\left({\tfrac
Gorenstein ring (1,612 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
Hodge structure (4,646 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
Dependent type (2,079 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
Oliver Sabel (2,100 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
Gauss–Markov theorem (3,460 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
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
Chow's lemma (1,210 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
Running Start: Bringing Young Women to Politics (755 words) [view diff] case mismatch in snippet view article find links to article
Germ (mathematics) (2,660 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
Hodge conjecture (3,009 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
List of Astragon games (1,277 words) [view diff] exact match in snippet view article find links to article
Friends (2009) Windows Nikita (2009) Windows Nipplegate (2006) Windows NoLimits Fairground (2005) Windows Operation Air Assault 1+2 (2006) Windows P.J
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
Stone–Čech compactification (2,615 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
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
Multivariate normal distribution (8,621 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
Frequent subtree mining (1,836 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
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
Christian Mann (3,431 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
Tensor product of modules (8,253 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 (3,891 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
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
Lifting theory (1,555 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\}}
Valuation ring (3,910 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]]}
Integral element (4,588 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
Hierarchical equations of motion (2,064 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
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
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
Clifford analysis (3,294 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
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
Baker–Campbell–Hausdorff formula (5,446 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":
Local linearization method (12,541 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
Cartan connection (6,755 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 (7,774 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 (8,134 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.
Adele ring (19,566 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
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