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{\displaystyle \mathbb {Q} \otimes _{\mathbb {Z} }\mathbb {Q} =\mathbb {Q} \otimes _{\mathbb {Q} }\mathbb {Q} =\mathbb {Q} }
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{\displaystyle \mathbb {Q} \otimes _{\mathbb {Z...
{\displaystyle F_{\nabla }(s)=\sum _{i,j=1}^{k}\sum _{p,q=1}^{n}{\frac {1}{2}}\left({\frac {\partial \Gamma _{qi}^{\ \ j}}{\partial x^{p}}}-{\frac {\partial \Gamma _{pi}^{\ \ j}}{\partial x^{q}}}+\Gamma _{pr}^{\ \ j}\Gamma _{qi}^{\ \ r}-\Gamma _{qr}^{\ \ j}\Gamma _{pi}^{\ \ r}\right)s^{i}dx^{p}\wedge dx^{q}\otimes e_{j}=\sum _{i,j=1}^{k}\sum _{p,q=1}^{n}R_{pqi}^{\ \ \ j}s^{i}dx^{p}\wedge dx^{q}\otimes e_{j}.}
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{\displaystyle F_{\nabla }(s)=\sum _{i,j=1}^{k}...
{\displaystyle F_{\nabla }=\sum _{p,q=1}^{n}{\frac {1}{2}}\left({\frac {\partial A_{q}}{\partial x^{p}}}-{\frac {\partial A_{p}}{\partial x^{q}}}+[A_{p},A_{q}]\right)dx^{p}\wedge dx^{q}.}
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{\displaystyle F_{\nabla }=\sum _{p,q=1}^{n}{\f...
{\displaystyle \mathbb {Q} \otimes _{\mathbb {Z} }\mathbb {Q} \to \mathbb {Q} \otimes _{\mathbb {Q} }\mathbb {Q} }
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{\displaystyle \mathbb {Q} \otimes _{\mathbb {Z...
{\displaystyle T_{j'_{1}\dots j'_{q}}^{i'_{1}\dots i'_{p}}[\mathbf {f} \cdot R]=\left|\det R\right|^{-w}\left(R^{-1}\right)_{i_{1}}^{i'_{1}}\cdots \left(R^{-1}\right)_{i_{p}}^{i'_{p}}T_{j_{1},\ldots ,j_{q}}^{i_{1},\ldots ,i_{p}}[\mathbf {f} ]R_{j'_{1}}^{j_{1}}\cdots R_{j'_{q}}^{j_{q}}.}
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{\displaystyle T_{j'_{1}\dots j'_{q}}^{i'_{1}\d...
{\displaystyle {\hat {T}}_{j'_{1}\dots j'_{q}}^{i'_{1}\dots i'_{p}}\left({\bar {x}}^{1},\ldots ,{\bar {x}}^{n}\right)={\frac {\partial {\bar {x}}^{i'_{1}}}{\partial x^{i_{1}}}}\cdots {\frac {\partial {\bar {x}}^{i'_{p}}}{\partial x^{i_{p}}}}{\frac {\partial x^{j_{1}}}{\partial {\bar {x}}^{j'_{1}}}}\cdots {\frac {\partial x^{j_{q}}}{\partial {\bar {x}}^{j'_{q}}}}T_{j_{1}\dots j_{q}}^{i_{1}\dots i_{p}}\left(x^{1},\ldots ,x^{n}\right).}
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{\displaystyle {\hat {T}}_{j'_{1}\dots j'_{q}}^...
{\displaystyle {\begin{aligned}{\mathcal {L}}&={\frac {1}{2}}m\ \mathbf {v} ^{2}+q\ \mathbf {v} \cdot \mathbf {A} -q\ \phi \ ,\\{\mathcal {H}}&={\frac {1}{2m}}\left(\mathbf {p} -q\mathbf {A} \right)^{2}+q\ \phi ~.\end{aligned}}}
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{\displaystyle {\begin{aligned}{\mathcal {L}}&=...
{\displaystyle E^{p}\times {E^{*}}^{q}\to {\mathfrak {T}}_{q-1}^{p-1},\,(X_{1},\dots ,X_{p},\omega _{1},\dots ,\omega _{q})\mapsto \langle X_{k},\omega _{l}\rangle X_{1}\otimes \cdots \otimes {\widehat {X_{l}}}\otimes \cdots \otimes X_{p}\otimes \omega _{1}\otimes \cdots {\widehat {\omega _{l}}}\otimes \cdots \otimes \omega _{q}}
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{\displaystyle E^{p}\times {E^{*}}^{q}\to {\mat...
{\displaystyle {\begin{aligned}A_{0}&=0\\A_{k}&=A_{k-1}+{\frac {w_{k}}{W_{k}}}\left(x_{k}-A_{k-1}\right)\\Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {w_{k}W_{k-1}}{W_{k}}}\left(x_{k}-A_{k-1}\right)^{2}=Q_{k-1}+w_{k}\left(x_{k}-A_{k-1}\right)\left(x_{k}-A_{k}\right)\end{aligned}}}
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{\displaystyle {\begin{aligned}Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {k-1}{k}}\left(x_{k}-A_{k-1}\right)^{2}=Q_{k-1}+\left(x_{k}-A_{k-1}\right)\left(x_{k}-A_{k}\right)\end{aligned}}}
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Tipico desviacion - Chavacano de Zamboanga Wiki...
{\displaystyle {\begin{aligned}A_{0}&=0\\A_{i}&=A_{i-1}+{\frac {w_{i}}{W_{i}}}(x_{i}-A_{i-1})\\Q_{0}&=0\\Q_{i}&=Q_{i-1}+{\frac {w_{i}W_{i-1}}{W_{i}}}(x_{i}-A_{i-1})^{2}=Q_{i-1}+w_{i}(x_{i}-A_{i-1})(x_{i}-A_{i})\end{aligned}}}
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Desviació tipus - Viquipèdia, l'enciclopèdia ll...
{\displaystyle {\begin{aligned}Q_{0}&=0\\Q_{i}&=Q_{i-1}+{\frac {i-1}{i}}(x_{i}-A_{i-1})^{2}=Q_{i-1}+(x_{i}-A_{i-1})(x_{i}-A_{i})\end{aligned}}}
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Desviació tipus - Viquipèdia, l'enciclopèdia ll...
{\displaystyle {\begin{aligned}A_{0}&=0\\A_{k}&=A_{k-1}+{\frac {w_{k}}{W_{k}}}(x_{k}-A_{k-1})\\Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {w_{k}W_{k-1}}{W_{k}}}(x_{k}-A_{k-1})^{2}=Q_{k-1}+w_{k}(x_{k}-A_{k-1})(x_{k}-A_{k})\end{aligned}}}
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Desviación típica - Wikipedia, la enciclopedia ...
{\displaystyle {\begin{aligned}Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {k-1}{k}}(x_{k}-A_{k-1})^{2}=Q_{k-1}+(x_{k}-A_{k-1})(x_{k}-A_{k})\\\end{aligned}}}
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Desviación típica - Wikipedia, la enciclopedia ...
Q!%wZQq?+1ky"​!//||\​\q>&?? = Loosely translates to '​In the Spirit of Gibberish'​.
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Q!%wZQq?+1ky"!//||\\q>&?? = Loosely translates ...
Beyond Q & A: It's Q & AI
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Beyond Q & A: It's Q & AI
{\displaystyle {\begin{aligned}A_{0}&=0\\A_{k}&=A_{k-1}+{\frac {w_{k}}{W_{k}}}\left(x_{k}-A_{k-1}\right)\\Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {w_{k}W_{k-1}}{W_{k}}}\left(x_{k}-A_{k-1}\right)^{2}\\&=Q_{k-1}+w_{k}\left(x_{k}-A_{k-1}\right)\left(x_{k}-A_{k}\right)\end{aligned}}}
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Standard deviation - Wikipedia
{\displaystyle {\begin{aligned}Q_{0}&=0\\Q_{k}&=Q_{k-1}+{\frac {k-1}{k}}\left(x_{k}-A_{k-1}\right)^{2}\\&=Q_{k-1}+\left(x_{k}-A_{k-1}\right)\left(x_{k}-A_{k}\right)\end{aligned}}}
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Standard deviation - Wikipedia
Series 3: Manufacturing Equipment & Automation Article 12: Benefits of Digitalization – Moving from “Q” to “Q”
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{\displaystyle a,a+q,a+2q,a+3q,\dots }
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{\displaystyle a,a+q,a+2q,a+3q,\dots }