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searching for Vert.x 105 found (114 total)

alternate case: vert.x

Marcinkiewicz–Zygmund inequality (493 words) [view diff] no match in snippet view article find links to article

E\left(X_{i}\right)=0} and E(|Xi|p)<+∞{\displaystyle \textstyle E\left(\left\vert X_{i}\right\vert ^{p}\right)<+\infty }, 1≤p<+∞{\displaystyle \textstyle 1\leq

Degree distribution (2,615 words) [view diff] no match in snippet view article find links to article

{\partial {\mathcal {G}} \over \partial x}\vert _{x,y=1}={\partial {\mathcal {G}} \over \partial y}\vert _{x,y=1}=c,} where c{\displaystyle c} is the mean

Bessel potential (859 words) [view diff] no match in snippet view article find links to article

({\frac {s}{2}})}}K_{(d-s)/2}(\vert x\vert )\vert x\vert ^{(s-d)/2}.} At the origin, one has as |x|→0{\displaystyle \vert x\vert \to 0},

Lists of integrals (5,617 words) [view diff] no match in snippet view article find links to article

dx=x\operatorname {arcsec} {x}-\ln \left\vert x\,\left(1+{\sqrt {1-x^{-2}}}\,\right)\right\vert +C,{\text{ for }}\vert x\vert \geq 1} ∫ arccsc ⁡ x d x = x arccsc

Closed convex function (312 words) [view diff] no match in snippet view article find links to article

t)∈Rn+1|x∈domf,f(x)≤t}{\displaystyle {\mbox{epi}}f=\{(x,t)\in \mathbb {R} ^{n+1}\vert x\in {\mbox{dom}}f,\;f(x)\leq t\}} is closed, then the function f{\displaystyle

Bessel's inequality (482 words) [view diff] no match in snippet view article find links to article

}\left\vert \left\langle x,e_{k}\right\rangle \right\vert ^{2}\leq \left\Vert x\right\Vert ^{2},} where ⟨·,·⟩ denotes the inner product in the Hilbert space

Classical capacity (4,103 words) [view diff] no match in snippet view article find links to article

ρXA=∑xpX(x)|x⟩⟨x|X⊗ρxA,{\displaystyle \rho ^{XA}=\sum _{x}p_{X}(x)\vert x\rangle \langle x\vert ^{X}\otimes \rho _{x}^{A},} pX(x){\displaystyle p_{X}(x)} is a

Abstract Wiener space (2,435 words) [view diff] no match in snippet view article find links to article

= n . {\displaystyle (2\pi )^{-n/2}\int _{\mathbb {R} ^{n}}\Vert x\Vert ^{2}e^{-\Vert x\Vert ^{2}/2}\,dx=(2\pi )^{-n/2}\sum _{i=1}^{n}\int _{\mathbb

Probabilistic classification (1,175 words) [view diff] no match in snippet view article find links to article

functions, they are conditional distributions Pr(Y|X){\displaystyle \Pr(Y\vert X)}, meaning that for a given x∈X{\displaystyle x\in X}, they assign probabilities

Multidimensional Digital Pre-distortion (2,849 words) [view diff] no match in snippet view article find links to article

_{1}}=(ax_{1}+bx_{1}\left\vert {x_{1}}\right\vert ^{2}+bx_{1}\left\vert {x_{2}}\right\vert ^{2}+cx_{1}\left\vert {x_{1}}\right\vert ^{4}+cx_{1}\left\vert {x_{2}}\right\vert

Self-adjoint operator (7,657 words) [view diff] no match in snippet view article find links to article

x\rangle |}{\Vert x\Vert }}=\left|\left\langle A{\frac {x}{\Vert x\Vert }},{\frac {x}{\Vert x\Vert }}\right\rangle -\lambda \right|\cdot \Vert x\Vert \geq

Midpoint circle algorithm (2,644 words) [view diff] no match in snippet view article find links to article

y_{i}+1)\\\left\vert (x_{i}-1)^{2}+(y_{i}+1)^{2}-r^{2}\right\vert &<\left\vert x_{i}^{2}+(y_{i}+1)^{2}-r^{2}\right\vert \\\left\vert (x

Polarization identity (3,727 words) [view diff] no match in snippet view article find links to article

{1}{4}}\left(\Vert x+iy\Vert ^{2}-\Vert x-iy\Vert ^{2}\right)}, which happens if and only if ‖x+iy‖=‖x−iy‖{\displaystyle \Vert x+iy\Vert =\Vert x-iy\Vert }

Fin (extended surface) (1,617 words) [view diff] no match in snippet view article

-kA_{c}\left.\left({\frac {dT}{dx}}\right)\right\vert _{x+dx}=-kA_{c}\left.\left({\frac {dT}{dx}}\right)\right\vert _{x}+Ph\left(T-T_{\infty }\right)dx.} Rearranging

Triangle inequality (5,038 words) [view diff] no match in snippet view article find links to article

does. Proof: − | x | ≤ x ≤ | x | {\displaystyle -\left\vert x\right\vert \leq x\leq \left\vert x\right\vert } − | y | ≤ y ≤ | y | {\displaystyle -\left\vert

Sign function (1,633 words) [view diff] no match in snippet view article find links to article

{\displaystyle \operatorname {sgn} x=0^{\left(-x+\left\vert x\right\vert \right)}-0^{\left(x+\left\vert x\right\vert \right)}\,.} The signum function coincides

Weak convergence (Hilbert space) (1,018 words) [view diff] no match in snippet view article

weakly to x, then ‖x‖≤lim infn→∞‖xn‖,{\displaystyle \Vert x\Vert \leq \liminf _{n\to \infty }\Vert x_{n}\Vert ,} and this inequality is strict whenever

Littlewood conjecture (653 words) [view diff] no match in snippet view article find links to article

\Vert n\beta \Vert =0,} where ‖x‖:=min(|x−⌊x⌋|,|x−⌈x⌉|){\displaystyle \Vert x\Vert :=\min(|x-\lfloor x\rfloor |,|x-\lceil x\rceil |)} is the distance

Topological divisor of zero (256 words) [view diff] no match in snippet view article find links to article

sequence exists, then one may assume that ‖ xn‖=1{\displaystyle \left\Vert \ x_{n}\right\|=1} for all n{\displaystyle n}. If A{\displaystyle A} is not

Lyn-Z Adams Hawkins (720 words) [view diff] no match in snippet view article find links to article

California 5th place (bowl) X Games 11, Los Angeles, California 2nd place (vert) X Games 11, Los Angeles, California 9th place (street) Globe World Cup, Melbourne

McCullagh's parametrization of the Cauchy distributions (564 words) [view diff] no match in snippet view article find links to article

{\displaystyle f(x)={\left\vert \Im {\theta }\right\vert \over \pi \left\vert x-\theta \right\vert ^{2}}\,,} where ℑθ=σ{\displaystyle \Im {\theta }=\sigma

Radially unbounded function (248 words) [view diff] no match in snippet view article find links to article

\forall c>0:\exists r>0:\forall x\in \mathbb {R} ^{n}:[\Vert x\Vert >r\Rightarrow f(x)>c]} Such functions are applied in control theory

Radon–Riesz property (541 words) [view diff] no match in snippet view article find links to article

lim n → ∞ ‖ x n ‖ = ‖ x ‖ {\displaystyle \lim _{n\to \infty }\Vert x_{n}\Vert =\Vert x\Vert } , then ( x n ) {\displaystyle (x_{n})} converges to x {\displaystyle

Spectral set (173 words) [view diff] no match in snippet view article find links to article

\left\Vert r(T)\right\Vert \leq \left\Vert r\right\Vert _{X}=\sup \left\{\left\vert r(x)\right\vert :x\in X\right\}} This concept is related to the topic

Bounded operator (2,395 words) [view diff] no match in snippet view article find links to article

{\displaystyle \|Lx\|=\left\Vert {\|x\| \over \varepsilon }L\left(\varepsilon {x \over \|x\|}\right)\right\Vert ={\|x\| \over \varepsilon }\left\Vert

Sub-Gaussian distribution (4,966 words) [view diff] no match in snippet view article find links to article

denoted as ‖X‖ψ2{\displaystyle \Vert X\Vert _{\psi _{2}}}, is ‖X‖ψ2=inf{c>0:E⁡[exp⁡(X2c2)]≤2},{\displaystyle \Vert X\Vert _{\psi _{2}}=\inf \left\{c>0:\operatorname

1017 vs. the World (220 words) [view diff] no match in snippet view article find links to article

Listen". Pitchfork. 23 November 2016. Retrieved November 23, 2016. "Lil Uzi Vert x Gucci Mane - 1017 Vs The World Mixtape - DatPiff.com". DatPiff. Retrieved

Orbital stability (844 words) [view diff] no match in snippet view article find links to article

v0∈X{\displaystyle v_{0}\in X} with ‖ϕ−v0‖X<δ{\displaystyle \Vert \phi -v_{0}\Vert _{X}<\delta } there is a solution v(t){\displaystyle v(t)} defined for all

FK-space (397 words) [view diff] no match in snippet view article find links to article

X:=\bigcap _{n=1}^{\infty }X_{n}} and P:={p|X:p∈Pn}.{\displaystyle P:=\left\{p_{\vert X}:p\in P_{n}\right\}.} Then (X,P){\displaystyle (X,P)} is again an FK-space

Typical subspace (1,038 words) [view diff] no match in snippet view article find links to article

spectral decomposition: ρ=∑xpX(x)|x⟩⟨x|.{\displaystyle \rho =\sum _{x}p_{X}(x)\vert x\rangle \langle x\vert .} The weakly typical subspace is defined as the span

Hoeffding's inequality (2,021 words) [view diff] no match in snippet view article find links to article

only if X is sub-Gaussian: ‖X‖ψ2:=inf{c≥0:E(eX2/c2)≤2}.{\displaystyle \Vert X\Vert _{\psi _{2}}:=\inf \left\{c\geq 0:\mathrm {E} \left(e^{X^{2}/c^{2}}\right)\leq

Differential inclusion (1,042 words) [view diff] no match in snippet view article find links to article

provided F does not allow "blow-up" (‖x(t)‖→∞{\displaystyle \scriptstyle \Vert x(t)\Vert \,\to \,\infty } as t→t∗{\displaystyle \scriptstyle t\,\to \,t^{*}}

Quantum complexity theory (3,543 words) [view diff] no match in snippet view article find links to article

with a probability greater than or equal to a(|x|){\displaystyle a(\left\vert x\right\vert )}. An element x{\displaystyle x} of Ano{\displaystyle A_{\text{no}}}

Impedance matching (4,365 words) [view diff] no match in snippet view article find links to article

X_{1}} |X1|=R1Q{\displaystyle \left\vert X_{1}\right\vert ={\frac {R_{1}}{Q}}}. |X2|=QR2{\displaystyle \left\vert X_{2}\right\vert =QR_{2}}. where

Navier–Stokes existence and smoothness (4,973 words) [view diff] no match in snippet view article find links to article

\vert \partial ^{\alpha }\mathbf {v_{0}} (x)\vert \leq {\frac {C}{(1+\vert x\vert )^{K}}}\qquad } for all x∈R3.{\displaystyle \qquad x\in \mathbb {R}

Fredholm kernel (809 words) [view diff] no match in snippet view article find links to article

B} has a completion under the norm ‖X‖π=inf∑{i}‖ei∗‖‖ei‖{\displaystyle \Vert X\Vert _{\pi }=\inf \sum _{\{i\}}\Vert e_{i}^{*}\Vert \Vert e_{i}\Vert } where

Trigonometric series (666 words) [view diff] no match in snippet view article find links to article

dx\\[4pt]&=-{\frac {x}{n\pi }}\cos {nx}+{\frac {1}{n^{2}\pi }}\sin {nx}{\Bigg \vert }_{x=-\pi }^{\pi }\\[5mu]&={\frac {2\,(-1)^{n+1}}{n}},\quad n\geq 1.\end{aligned}}}

Zero of a function (1,038 words) [view diff] no match in snippet view article find links to article

of the real-valued function f ( x ) = ‖ x ‖ 2 − 1 {\displaystyle f(x)=\Vert x\Vert ^{2}-1} . Marden's theorem Root-finding algorithm Sendov's conjecture

Gaussian integer (4,706 words) [view diff] no match in snippet view article find links to article

{1}{2}}+ix\right)\right\vert x\in \mathbf {R} \right\}\quad {\text{and}}\\H_{t}&=\left\{\left.z_{0}\left(x+i\left(t-{\tfrac {1}{2}}\right)\right)\right\vert x\in \mathbf

Quadratic variation (1,537 words) [view diff] no match in snippet view article find links to article

_{k=1}^{n}|X_{t_{k}}-X_{t_{k-1}}|\\&\leq \max _{|u-v|\leq \Vert P\Vert }|X_{u}-X_{v}|V_{t}(X).\end{aligned}}} By the continuity of X {\displaystyle

Schur's property (284 words) [view diff] no match in snippet view article find links to article

x{\displaystyle x} implies that limn→∞‖xn−x‖=0{\displaystyle \lim _{n\to \infty }\Vert x_{n}-x\Vert =0}. In other words, the weak and strong topologies share the

Supercompact cardinal (873 words) [view diff] no match in snippet view article find links to article

follows: [A]<κ:={x⊆A∣|x|<κ}{\displaystyle [A]^{<\kappa }:=\{x\subseteq A\mid \vert x\vert <\kappa \}}. An ultrafilter U{\displaystyle U} over [A]<κ{\displaystyle

Bayes' theorem (7,760 words) [view diff] no match in snippet view article find links to article

f_{Y\vert X=x}(y)={\frac {f_{X,Y}(x,y)}{f_{X}(x)}}} Therefore, fX|Y=y(x)=fY|X=x(y)fX(x)fY(y).{\displaystyle f_{X\vert Y=y}(x)={\frac {f_{Y\vert X

Multiple kernel learning (2,652 words) [view diff] no match in snippet view article find links to article

_{i=1}^{n}\left\Vert x_{i}-\sum _{x_{j}\in B_{i}}K(x_{i},x_{j})x_{j}\right\Vert ^{2}+\gamma _{1}\sum _{i=1}^{n}\sum _{x_{j}\in B_{i}}K(x_{i},x_{j})\left\Vert x_{i}-x_{j}\right\Vert

Volume of an n-ball (5,444 words) [view diff] no match in snippet view article find links to article

p_{n}}(L)=\left\{x=(x_{1},\ldots ,x_{n})\in \mathbf {R} ^{n}:\vert x_{1}\vert ^{p_{1}}+\cdots +\vert x_{n}\vert ^{p_{n}}\leq L\right\}.} The volume of this ball

Kruskal–Szekeres coordinates (2,768 words) [view diff] no match in snippet view article find links to article

2GM<r{\displaystyle 2GM<r} II interior black hole |X|<T<1+X2{\displaystyle \vert X\vert <T<{\sqrt {1+X^{2}}}} 0<r<2GM{\displaystyle 0<r<2GM} III parallel exterior

Average absolute deviation (1,649 words) [view diff] no match in snippet view article find links to article

where φ is a convex function, this implies for Y=|X−μ|{\displaystyle Y=\vert X-\mu \vert } that: (E|X−μ|)2≤E(|X−μ|2){\displaystyle \left(\mathbb {E} |X-\mu

Three spheres inequality (250 words) [view diff] no match in snippet view article find links to article

Sρ:={x∈Rn:|x|=ρ}{\displaystyle S_{\rho }:=\{x\in \mathbb {R} ^{n}\colon \vert x\vert =\rho \}} for ρ>0{\displaystyle \rho >0} is the sphere of radius ρ{\displaystyle

Martingale (probability theory) (2,791 words) [view diff] no match in snippet view article

. that satisfies for any time n, E(|Xn|)<∞{\displaystyle \mathbf {E} (\vert X_{n}\vert )<\infty } E(Xn+1∣X1,…,Xn)=Xn.{\displaystyle \mathbf {E} (X_{n+1}\mid

Product topology (2,191 words) [view diff] no match in snippet view article find links to article

{\displaystyle \left\{x=\left(x_{i}\right)_{i\in I}\in X\mathbin {\big \vert } x_{i}=z_{i}{\text{ for all but finitely many }}i\right\}} is a dense subset

Pareto distribution (5,981 words) [view diff] no match in snippet view article find links to article

+ | x − b | ) a + 1 , X ∈ R {\displaystyle p(x)={ab^{a} \over 2(b+\left\vert x-b\right\vert )^{a+1}},X\in R} This distribution has two parameters: a and

Martingale central limit theorem (609 words) [view diff] no match in snippet view article find links to article

suppose E⁡[Xt+1−Xt|X1,…,Xt]=0,{\displaystyle \operatorname {E} [X_{t+1}-X_{t}\vert X_{1},\dots ,X_{t}]=0\,,} and |Xt+1−Xt|≤k{\displaystyle |X_{t+1}-X_{t}|\leq

Polar factorization theorem (1,177 words) [view diff] no match in snippet view article find links to article

_{0}(x)={\frac {1}{2}}\Vert x\Vert ^{2}}, one can expand φϵ(x)=12‖x‖2+ϵp(x)+O(ϵ2){\displaystyle \textstyle \varphi _{\epsilon }(x)={\frac {1}{2}}\Vert x\Vert ^{2}+\epsilon

Bill Israel (404 words) [view diff] no match in snippet view article find links to article

Retrieved January 9, 2021. "Controlled Sounds - First Week Sales for Lil Uzi Vert x Future, NBA Youngboy, Kodak Black & More". Controlled Sounds. Retrieved

X (disambiguation) (1,618 words) [view diff] no match in snippet view article

History by Jason Derulo "X", a song from the album Luv Is Rage 2 by Lil Uzi Vert "X", a song from the album The Magic Position by Patrick Wolf "X", a song

Lipschitz continuity (2,561 words) [view diff] no match in snippet view article find links to article

(x1−x2)T(F(x1)−F(x2))≤C‖x1−x2‖2{\displaystyle (x_{1}-x_{2})^{T}(F(x_{1})-F(x_{2}))\leq C\Vert x_{1}-x_{2}\Vert ^{2}} for some C and for all x1 and x2. It is possible that

Multivariate normal distribution (9,474 words) [view diff] no match in snippet view article find links to article

domain defined by ∑ i = 1 4 | x i | < 1 {\displaystyle \sum _{i=1}^{4}\vert x_{i}\vert <1} . These are all computed by the numerical method of ray-tracing

Track algorithm (2,348 words) [view diff] no match in snippet view article find links to article

s)|<Separation{\displaystyle {\text{Capture (3D)}}\;{\begin{cases}\left\vert X({\text{new}})-X(s)\right\vert <{\text{Separation}}\\\left\vert

Maaly Raw (1,100 words) [view diff] no match in snippet view article find links to article

Retrieved February 18, 2019. Lilah, Rose (April 18, 2016). "The 5 Best Lil Uzi Vert x Maaly Raw Collaborations". HotNewHipHop. Retrieved February 18, 2019. "Artist

Pythagorean means (1,043 words) [view diff] no match in snippet view article find links to article

{GM} \left(x_{1},\;\ldots ,\;x_{n}\right)&={\sqrt[{n}]{\left\vert x_{1}\times \,\cdots \,\times x_{n}\right\vert }}\\[9pt]\operatorname {HM}

Process calculus (2,446 words) [view diff] no match in snippet view article find links to article

rule is: x⟨y⟩⋅P|x(v)⋅Q⟶P|Q[y/v]{\displaystyle x\langle y\rangle \cdot P\;\vert \;x(v)\cdot Q\longrightarrow P\;\vert \;Q[^{y}\!/\!_{v}]} The interpretation

Irrational number (5,176 words) [view diff] no match in snippet view article find links to article

usual (Euclidean) distance function d(x,y)=|x−y|{\displaystyle d(x,y)=\vert x-y\vert }, the real numbers are a metric space and hence also a topological

Harmonic function (3,293 words) [view diff] no match in snippet view article find links to article

(for n > 2), that is f(x)=o(|x−x0|2−n),as x→x0,{\displaystyle f(x)=o\left(\vert x-x_{0}\vert ^{2-n}\right),\qquad {\text{as }}x\to x_{0},} then f extends

Topological property (2,394 words) [view diff] no match in snippet view article find links to article

{T}}|_{S}\right)} has property P.{\displaystyle P.} The cardinality |X|{\displaystyle \vert X\vert } of the space X{\displaystyle X}. The cardinality |τ(X)|{\displaystyle

Augmented Lagrangian method (1,888 words) [view diff] no match in snippet view article find links to article

+g(y)-z^{T}(Ax+By-c)+{\frac {\rho }{2}}\Vert Ax+By-c\Vert ^{2}+{\frac {\Vert x-x_{k}\Vert ^{2}}{2\eta _{k+1}}},} where ηk+1{\displaystyle \eta _{k+1}}

Giant component (1,185 words) [view diff] no match in snippet view article find links to article

f(y)={\frac {1}{c}}{\partial {\mathcal {G}} \over \partial y}\vert _{x=1}}. The criteria for giant component existence in directed and undirected

Generalized filtering (2,858 words) [view diff] no match in snippet view article find links to article

m\right)&=p\left({\tilde {s}}\vert {\tilde {x}},{\tilde {u}},m\right)p\left({D{\tilde {x}}\vert x,{\tilde {u}},m}\right)p(x\vert m)p({\tilde {u}}\vert m)\\p\left({\tilde

Differentiation rules (2,763 words) [view diff] no match in snippet view article find links to article

f_{2}(x_{2})^{\left(...\right)^{f_{n}(x_{n})}}}\right)\right]{\biggr \vert }_{x_{1}=x_{2}=...=x_{n}=x},{\text{ if }}f_{i<n}(x)>0{\text{ and }}} d f i

Modified Wigner distribution function (2,267 words) [view diff] no match in snippet view article find links to article

f)df=|x(t)|2L{\displaystyle \int _{-\infty }^{\infty }W_{x}(t,f)df=\left\vert x(t)\right\vert ^{2L}} Integral of LWD:Wx(t,f){\displaystyle LWD:W_{x}(t,f)}over

Natural logarithm (6,111 words) [view diff] no match in snippet view article find links to article

other points. For example, if | x − 1 | ≤ 1 and x ≠ 0 , {\displaystyle \vert x-1\vert \leq 1{\text{ and }}x\neq 0,} then ln ⁡ x = ∫ 1 x 1 t d t = ∫ 0 x

Surgery theory (3,113 words) [view diff] no match in snippet view article find links to article

critical point, the function f is of the form −‖x‖2+‖y‖2{\displaystyle -\Vert x\Vert ^{2}+\Vert y\Vert ^{2}}, with x∈Rp+1,y∈Rq{\displaystyle x\in R^{p+1}

Quantum instrument (974 words) [view diff] no match in snippet view article find links to article

{\displaystyle {\mathcal {I}}(\rho ):=\sum _{x}{\mathcal {E}}_{x}(\rho )\otimes \vert x\rangle \langle x|.} Here H1{\displaystyle {\mathcal {H}}_{1}} and H2⊗C|X|{\displaystyle

Persistent homology (1,446 words) [view diff] no match in snippet view article find links to article

{\displaystyle W_{\infty }(X,Y):=\inf _{\varphi :X\to Y}\sup _{x\in X}\Vert x-\varphi (x)\Vert _{\infty },} where φ{\displaystyle \varphi } ranges over

Inverse trigonometric functions (10,716 words) [view diff] no match in snippet view article find links to article

y=\operatorname {arcsec}(x)} x = sec(y) | x | ≥ 1 {\displaystyle {\left\vert x\right\vert }\geq 1} 0 ≤ y < π 2 or π 2 < y ≤ π {\displaystyle 0\leq y<{\frac

Infinitesimal (5,053 words) [view diff] no match in snippet view article find links to article

\max _{1\leq k\leq k_{n}}\mathbb {P} \{\omega \in \Omega \mid \vert X_{n,k}(\omega )\vert \geq \epsilon \}\to 0{\text{ as }}n\to \infty } The

Algebra of communicating processes (1,697 words) [view diff] no match in snippet view article find links to article

y&=&\tau \cdot (x\vert \vert y)\\\tau \vert \lfloor x&=&\tau \cdot x\\\tau \vert x&=&\delta \\x\vert \tau &=&\delta \\\tau \cdot x\vert y&=&x\vert y\\x\vert

Ideal (ring theory) (6,653 words) [view diff] no match in snippet view article

L>0} such that f(x)=0{\displaystyle f(x)=0} whenever |x|>L{\displaystyle \vert x\vert >L}. A ring is called a simple ring if it is nonzero and has no two-sided

Hardy–Littlewood inequality (1,021 words) [view diff] no match in snippet view article find links to article

of μ∈R.{\displaystyle {\begin{aligned}\operatorname {E} \left[{\frac {1}{\vert X\vert ^{\delta }}}\right]&\leq 2^{\frac {(1-\delta )}{2}}{\frac {\Gamma \left({\frac

Romanov's theorem (955 words) [view diff] no match in snippet view article find links to article

{\left\vert \{n\leq x:n=p+2^{k},p\ {\textrm {prime,}}\ k\in \mathbb {N} \}\right\vert }{x}}} and let d_=lim infx→∞d(x){\displaystyle {\underline {d}}=\liminf _{x\to

Almost periodic function (2,838 words) [view diff] no match in snippet view article find links to article

∫ − τ / 2 τ / 2 x 2 ( t ) d t . {\displaystyle 0<\epsilon \ll {\big \Vert }x{\big \Vert }={\sqrt {\overline {x^{2}}}}={\sqrt {\lim _{\tau \to \infty

Actor model (7,157 words) [view diff] exact match in snippet view article find links to article

Active 2020-01-31 Apache 2.0 Java Actr Active 2019-04-09 Apache 2.0 Java Vert.x Active 2018-02-13 Apache 2.0 Java, Groovy, Javascript, Ruby, Scala, Kotlin

Normal distribution (22,328 words) [view diff] no match in snippet view article find links to article

Probability density of a function ∑ i = 1 4 | x i | {\textstyle \sum _{i=1}^{4}\vert x_{i}\vert } of 4 iid standard normal variables. These are computed by the

Lucid Dreams (Juice Wrld song) (2,576 words) [view diff] no match in snippet view article

2 New Songs". HipHop-N-More. 2021-05-28. Retrieved 2021-05-28. "Lil Uzi Vert x Juice WRLD "Lucid Dreams" Remix LEAKING for $15,000 🤯". YouTube. Cole Bennett

Auxiliary normed space (4,893 words) [view diff] no match in snippet view article find links to article

L(B){\displaystyle L(B)} is a Banach disk and L|XB:XB→L(XB){\displaystyle L{\big \vert }_{X_{B}}:X_{B}\to L\left(X_{B}\right)} induces an isometric TVS-isomorphism

Hilbert C*-module (1,708 words) [view diff] no match in snippet view article find links to article

module E{\displaystyle E}, define a norm by ‖x‖=‖⟨x,x⟩A‖12.{\displaystyle \Vert x\Vert =\Vert \langle x,x\rangle _{A}\Vert ^{\frac {1}{2}}.} The norm-completion

Wiener's attack (2,027 words) [view diff] no match in snippet view article find links to article

{1}{d\cdot 2d}}={\frac {1}{2d^{2}}}} If |x−ab|<12b2{\displaystyle \left\vert x-{\frac {a}{b}}\right\vert <{\frac {1}{2b^{2}}}}, then ab{\displaystyle {\frac

Transportation theory (mathematics) (4,177 words) [view diff] no match in snippet view article

descent. In the case when c(x,y)=|x−y|2/2{\textstyle c\left(x,y\right)=\left\vert x-y\right\vert ^{2}/2}, one can show that the set of x∈X{\textstyle x\in \mathbf

Gibbs phenomenon (5,204 words) [view diff] no match in snippet view article find links to article

if k is odd.{\displaystyle \left.{\frac {d^{2}}{dx^{2}}}S_{N}f(x)\right\vert _{x_{0}+kL/(2N)}={\begin{cases}{\frac {2c}{L}}{\frac {N}{\sin(k\pi /N)}},&{\text{if

Spectrum (functional analysis) (5,658 words) [view diff] no match in snippet view article

(x_{j})_{j\in \mathbb {N} }} in the space X such that ‖ x j ‖ = 1 {\displaystyle \Vert x_{j}\Vert =1} , lim j → ∞ ‖ ( A − λ I ) x j ‖ = 0 , {\textstyle \lim _{j\to

Topological data analysis (11,069 words) [view diff] no match in snippet view article find links to article

W_{p}[L_{q}](X,Y):=\inf _{\varphi :X\to Y}\left[\sum _{x\in X}(\Vert x-\varphi (x)\Vert _{q})^{p}\right]^{1/p}} where 1≤p,q≤∞{\displaystyle 1\leq

Ultrafilter on a set (7,377 words) [view diff] no match in snippet view article find links to article

_{Y}\setminus \{\varnothing \}} and U | X ∖ Y ∖ { ∅ } {\displaystyle U\vert _{X\setminus Y}\setminus \{\varnothing \}} will be ultra (this result extends

Cauchy's functional equation (2,380 words) [view diff] no match in snippet view article find links to article

have the property that its graph {(x,f(x))|x∈R}{\displaystyle \{(x,f(x))\vert x\in \mathbb {R} \}} is dense in R2,{\displaystyle \mathbb {R} ^{2},} that

Hardy's inequality (1,942 words) [view diff] no match in snippet view article find links to article

C\int _{0}^{\infty }\int _{0}^{\infty }{\frac {\vert f(x)-f(y)\vert ^{p}}{\vert x-y\vert ^{1+\lambda }}}\,dx\,dy.} A change of variables gives

List of unsolved problems in mathematics (19,529 words) [view diff] no match in snippet view article find links to article

\Vert n\alpha \Vert \,\Vert n\beta \Vert =0} , where ‖ x ‖ {\displaystyle \Vert x\Vert } is the distance from x {\displaystyle x} to the nearest integer.

Surjection of Fréchet spaces (1,805 words) [view diff] no match in snippet view article find links to article

ap=(∂/∂x)pf|x=0{\displaystyle a_{p}=\left(\partial /\partial x\right)^{p}f{\bigg \vert }_{x=0}} for every n{\displaystyle n}-tuple p.{\displaystyle p.} Theorem — Let

Metro Boomin production discography (2,939 words) [view diff] no match in snippet view article find links to article

Hoodrich Pablo Juan – I Do This, retrieved November 17, 2019 Lil Uzi Vert – X, retrieved November 27, 2019 "Both (featuring Drake & Lil Wayne) [Remix]

Evidence lower bound (3,646 words) [view diff] no match in snippet view article find links to article

_{z\sim q_{\phi }(\cdot |x)}\left[\ln {\frac {p_{\theta }(x,z)}{q_{\phi }(z\vert x)}}\right].} Suppose we have an observable random variable X{\displaystyle

Dual system (12,268 words) [view diff] no match in snippet view article find links to article

( X , X ′ , c | X × X ′ ) {\displaystyle \left(X,X^{\prime },c{\big \vert }_{X\times X^{\prime }}\right)} for which X {\displaystyle X} separates points

Superparabola (1,612 words) [view diff] no match in snippet view article find links to article

power of x. For example, f(x)=(1−|x|q)p{\displaystyle f(x)=\left(1-\left\vert x\right\vert ^{q}\right)^{p}} where the absolute value was added to assure

Fruits de Mer Records (3,354 words) [view diff] no match in snippet view article find links to article

Sendelica, Ax Genrich and Sunhair, Soft Hearted Scientists, The Telephones, Vert:x, Consterdine, Ted Selke, Gregory Curvey, Andrew McCulloch, Jack Ellister

Matrix completion (5,262 words) [view diff] no match in snippet view article find links to article

j∈ERank(X)≤k.{\displaystyle {\begin{aligned}&{\underset {X}{\text{min}}}&&\Vert X\Vert _{F}^{2}\\&{\text{subject to}}&&X_{ij}=M_{ij}\;\;\forall i,j\in

Hindley–Milner type system (8,154 words) [view diff] no match in snippet view article find links to article

\sqsubseteq \sigma '\\&\vert \ &\alpha \not \in free(\Gamma )\\&\vert \ &x:\alpha \in \Gamma \\\\{\text{Judgment}}&=&{\text{Typing}}\\{\text{Pre

Comparison of vector algebra and geometric algebra (6,457 words) [view diff] no match in snippet view article find links to article

x{\displaystyle x} is ‖x‖2=x⋅w=1(Au,v)2∑i<j<k|wiwjwkuiujukvivjvk|2{\displaystyle {\Vert x\Vert }^{2}=x\cdot w={\frac {1}{(A_{u,v})^{2}}}\sum _{i<j<k}{\begin{vmat

FaceNet (1,125 words) [view diff] no match in snippet view article find links to article

in a finite dimensional Euclidean space is denoted by ‖X‖{\displaystyle \Vert X\Vert }.) We pick such triplets from the training data set and let there

Datar–Mathews method for real option valuation (8,651 words) [view diff] no match in snippet view article find links to article

{\displaystyle C_{0}=\left(MT-X_{0}\right)\cdot P\left(X_{0}\vert X_{0}\geq x\right)=\left(MT-X_{0}\right)\cdot \left\{{\frac