v - Moozonian

${\begin{alignedat}{6}a\cdot (\mathbf {v} \otimes \mathbf {w} )~&=~(a\cdot \mathbf {v} )\otimes \mathbf {w} ~=~\mathbf {v} \otimes (a\cdot \mathbf {w} ),&&~~{\text{ where }}a{\text{ is a scalar}}\\(\mathbf {v} _{1}+\mathbf {v} _{2})\otimes \mathbf {w} ~&=~\mathbf {v} _{1}\otimes \mathbf {w} +\mathbf {v} _{2}\otimes \mathbf {w} &&\\\mathbf {v} \otimes (\mathbf {w} _{1}+\mathbf {w} _{2})~&=~\mathbf {v} \otimes \mathbf {w} _{1}+\mathbf {v} \otimes \mathbf {w} _{2}.&&\\\end{alignedat}}$

en.wikipedia.org

Visit

{\displaystyle {\begin{alignedat}{6}a\cdot (\ma...

$(S\otimes T)(v_{1},\ldots ,v_{n},v_{n+1},\ldots ,v_{n+m})=S(v_{1},\ldots ,v_{n})T(v_{n+1},\ldots ,v_{n+m}),$

en.wikipedia.org

Visit

{\displaystyle (S\otimes T)(v_{1},\ldots ,v_{n}...

$\|u+v\|^{2}=\langle u+v,u+v\rangle =\langle u,u\rangle +2\,\operatorname {Re} \langle u,v\rangle +\langle v,v\rangle =\|u\|^{2}+\|v\|^{2}\,.$

en.wikipedia.org

Visit

{\displaystyle \|u+v\|^{2}=\langle u+v,u+v\rang...

$\mathbf {v} ={\hat {v}}^{i}\,\mathbf {\hat {e}} _{i}=\left(\left(R^{-1}\right)_{j}^{i}{v}^{j}\right)\left(\mathbf {e} _{k}R_{i}^{k}\right)=\left(\left(R^{-1}\right)_{j}^{i}R_{i}^{k}\right){v}^{j}\mathbf {e} _{k}=\delta _{j}^{k}{v}^{j}\mathbf {e} _{k}={v}^{k}\,\mathbf {e} _{k}={v}^{i}\,\mathbf {e} _{i}$

en.wikipedia.org

Visit

{\displaystyle \mathbf {v} ={\hat {v}}^{i}\,\ma...

${\begin{aligned}(A-3I)\mathbf {v} _{\lambda =3}&={\begin{bmatrix}-1&{\hphantom {-}}1\\{\hphantom {-}}1&-1\end{bmatrix}}{\begin{bmatrix}v_{1}\\v_{2}\end{bmatrix}}={\begin{bmatrix}0\\0\end{bmatrix}}\\-1v_{1}+1v_{2}&=0;\\1v_{1}-1v_{2}&=0\end{aligned}}$

en.wikipedia.org

Visit

{\displaystyle {\begin{aligned}(A-3I)\mathbf {v...

Graphic showing West Ham's last six games:
Crystal Palace v West Ham | 18 April
West Ham v Everton | 25 April
Brentford v West Ham | 2 May
West Ham v Arsenal | 9 May
Newcastle v West Ham | 17 May
West Ham v Leeds

bbc.com

Visit

West Ham United FC - Transfer news, results, fi...

${\begin{aligned}&\operatorname {P} (X_{v}=x_{v}\mid X_{i}=x_{i}{\text{ for each }}X_{i}{\text{ that is not a descendant of }}X_{v}\,)\\[6pt]={}&P(X_{v}=x_{v}\mid X_{j}=x_{j}{\text{ for each }}X_{j}{\text{ that is a parent of }}X_{v}\,)\end{aligned}}$

en.wikipedia.org

Visit

Bayesian network - Wikipedia

$X_{v}\perp \!\!\!\perp X_{V\,\smallsetminus \,\operatorname {de} (v)}\mid X_{\operatorname {pa} (v)}\quad {\text{for all }}v\in V$

en.wikipedia.org

Visit

Bayesian network - Wikipedia

$\bigwedge _{i=0}^{n-1}\mathbf {v} _{i}={\begin{vmatrix}v_{1}{}^{1}&\cdots &v_{1}{}^{n}\\\vdots &\ddots &\vdots \\v_{n-1}{}^{1}&\cdots &v_{n-1}{}^{n}\\\mathbf {e} _{1}&\cdots &\mathbf {e} _{n}\end{vmatrix}}.$

en.wikipedia.org

Visit

{\displaystyle \bigwedge _{i=0}^{n-1}\mathbf {v...

$\mathbf {P} _{\mathbf {v} }=\mathbf {v} \left(\mathbf {v} ^{\textrm {T}}\mathbf {v} \right)^{-1}\mathbf {v} ^{T}$

en.wikipedia.org

Visit

{\displaystyle \mathbf {P} _{\mathbf {v} }=\mat...

Graphic showing West Ham's first six games:
Sunderland v West Ham | 16 August
West Ham v Chelsea | 23 August
Nottingham Forest v West Ham | 30 August
West Ham v Tottenham | 13 September
West Ham v Crystal Pala

bbc.com

Visit

West Ham United FC - Transfer news, results, fi...

$\operatorname {P} (X_{1}=x_{1},\ldots ,X_{n}=x_{n})=\prod _{v=1}^{n}\operatorname {P} \left(X_{v}=x_{v}\mid X_{v+1}=x_{v+1},\ldots ,X_{n}=x_{n}\right)$

en.wikipedia.org

Visit

Bayesian network - Wikipedia

$u=\langle v,v\rangle ^{-1}\,{\overline {\varphi (v)}}\,v\,.$

en.wikipedia.org

Visit

{\displaystyle u=\langle v,v\rangle ^{-1}\,{\ov...

$V\times V\to W,\;(\mathbf {v} ,\mathbf {a} )\mapsto \mathbf {a} +\mathbf {v} .$

en.wikipedia.org

Visit

{\displaystyle V\times V\to W,\;(\mathbf {v} ,\...

$\mathbf {v} _{1}\otimes \mathbf {v} _{2}=-\mathbf {v} _{2}\otimes \mathbf {v} _{1}$

en.wikipedia.org

Visit

{\displaystyle \mathbf {v} _{1}\otimes \mathbf ...

${\begin{aligned}f(\mathbf {v} +\mathbf {w} )&=f(\mathbf {v} )+f(\mathbf {w} ),\\f(a\cdot \mathbf {v} )&=a\cdot f(\mathbf {v} )\end{aligned}}$

en.wikipedia.org

Visit

{\displaystyle {\begin{aligned}f(\mathbf {v} +\...

${\begin{aligned}\,p&=o+\sum _{i=1}^{n}\lambda _{i}v_{i}={\biggl (}o'+\sum _{j=1}^{n}\lambda _{o,j}v'_{j}{\biggr )}+\sum _{i=1}^{n}\lambda _{i}\sum _{j=1}^{n}\lambda _{i,j}v'_{j}\\&=o'+\sum _{j=1}^{n}{\biggl (}\lambda _{o,j}+\sum _{i=1}^{n}\lambda _{i}\lambda _{i,j}{\biggr )}v'_{j}\,,\end{aligned}}$

en.wikipedia.org

Visit

{\displaystyle {\begin{aligned}\,p&=o+\sum _{i=...

$v_{i}=\lambda _{i,1}v'_{1}+\dots +\lambda _{i,j}v'_{j}+\dots +\lambda _{i,n}v'_{n}$

en.wikipedia.org

Visit

{\displaystyle v_{i}=\lambda _{i,1}v'_{1}+\dots...

${\begin{aligned}\iint _{S}{\mathbf {v} }\cdot \mathrm {d} {\mathbf {s} }&=\iint _{S}\left({\mathbf {v} }\cdot {\mathbf {n} }\right)\,\mathrm {d} s\\&{}=\iint _{T}\left({\mathbf {v} }(\mathbf {r} (s,t))\cdot {{\frac {\partial \mathbf {r} }{\partial s}}\times {\frac {\partial \mathbf {r} }{\partial t}} \over \left\|{\frac {\partial \mathbf {r} }{\partial s}}\times {\frac {\partial \mathbf {r} }{\partial t}}\right\|}\right)\left\|{\frac {\partial \mathbf {r} }{\partial s}}\times {\frac {\partial \mathbf {r} }{\partial t}}\right\|\mathrm {d} s\,\mathrm {d} t\\&{}=\iint _{T}{\mathbf {v} }(\mathbf {r} (s,t))\cdot \left({\frac {\partial \mathbf {r} }{\partial s}}\times {\frac {\partial \mathbf {r} }{\partial t}}\right)\mathrm {d} s\,\mathrm {d} t.\end{aligned}}$

en.wikipedia.org

Visit

{\displaystyle {\begin{aligned}\iint _{S}{\math...

$U\otimes V\cong \left(U^{**}\right)\otimes \left(V^{**}\right)\cong \left(U^{*}\otimes V^{*}\right)^{*}\cong \operatorname {Hom} ^{2}\left(U^{*}\times V^{*};\mathbb {F} \right)$

en.wikipedia.org

Visit

{\displaystyle U\otimes V\cong \left(U^{**}\rig...

Ingredients

Directions