█████████ ██████

████ ████████ in a █████████ ████████

███████ to the █████ of ███████████████ █████ is the ████ ████████. ████████ with ███████'s █████████ in an █████████ ██████, ██████████ ██ ████ ██████, it can be █████ that

${\displaystyle \mathrm{\nabla }\times \mathrm{\nabla }\times \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}+\frac{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=-\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\text{<span word-length="2" class="word redacted">██</span>}},}$

█████ █^██ is the █████████ ████ of the ████████████ ███████, and █ is the ██████████ █████, which █████ from the ██████ ████ in █.

████ that ███ can ████████ use the ██████ ████████

${\displaystyle \mathrm{\nabla }\times \left(\mathrm{\nabla }\times \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\right)=\mathrm{\nabla }\left(\mathrm{\nabla }\cdot \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\right)-{\mathrm{\nabla }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}$

and █████'s ███ (████████ ██ ████ ███████, ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{<span word-length="4" class="word redacted">████</span>}}=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$),

${\displaystyle \mathrm{\nabla }\cdot \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},}$

to ██████ the ████ ████████ ████ ████████

${\displaystyle {\mathrm{\nabla }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}-\frac{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}.}$

For a █████████ ██████, █████'s ███ ████ not █████ that the ████████

${\displaystyle \mathrm{\nabla }\cdot \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$

is ████ in ███████, ████ for an █████████ ██████. ███████, ████ ████ this ████ is not ███████████ █, it is █████ ██████████ █████ and ████ in ████████ is ███████ ███████, ██████ ██ the ████████ █████████ ████ ████████:

${\displaystyle {\mathrm{\nabla }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}-\frac{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\text{<span word-length="2" class="word redacted">██</span>}}.}$

██████████████ as a ████-██████ ███████

The █████████ ████ ████████ is an █████████████ ████████████ ████████. The ███████ ████████ █████ from the █████ of ███████ ████████████ █████████ and can be ████████ by the use of a █████'s ████████. ██████████, ███ ████ the ███████████████ ████ █████████ to the ███████████ ████ of the ████ ████████:

${\displaystyle {\mathrm{\nabla }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}-\frac{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},}$

and the █████████████ ████

${\displaystyle \frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\frac{{\mathrm{\partial }}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{\partial }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\text{<span word-length="2" class="word redacted">██</span>}}}$

████ as a ██████/██████ of the ███████████████ █████. ███ of the ████████████ of this is a █████████ ███████████ that ███████ in ██████ being █████ or ███████ between █████████ ███████████, which is █████ ██████ a "████ ██████".

In ███████, an █-██ █████ ████████████ will ████ to (█ + █)-████ ██████. As an ███████, if ██ ████████ ████ a ██████-█████ ████████████ (█████-████ ██████), ████ the ████████████ █ █████ the ████

${\displaystyle {\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\text{<span word-length="2" class="word redacted">██</span>}}={\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}).}$

If ██ ██████ that █(█) is ████ up of ███ ██████████ at ███████████ █_█ and █_█, ██ can █████ █(█) as

${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})={\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})+{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}),}$

and using █████'s ███████ to ███████ to ████████████,

${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}+\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}+\text{<span word-length="1" class="word redacted">█</span>.<span word-length="1" class="word redacted">█</span>.},}$

█████ "█.█." ██████ for ███████ █████████. ████████ this into the ██████████ for █ █████

which has █████████ ██████████ at ██_█, ██_█, █_█ + █_█, █_█ − █_█, and █. █████ █████-████ ██████ █████████ ██████████ to the █████████ ███████ █████ as ██████-████████ ██████████, ███-█████████ ██████████, ██████████-█████████ ██████████ and ███████ █████████████ ████████████.

████: ██████████ ██████████ and █████████████ is a █████████ of ██████████-█████████ ██████████, █████ the █████ █████████ of ███ of the ███ ██████████ ██████ is ████ ██████ (██████████ █████████████) or ██████████ ██████ (██████████ ██████████). In the ██████ ████, the ███████████ ███████-██████████ ███████████ in the ████████ █████ █████████ the ███████.

██████████

███ can █████████ ███████ █████ ███████████ as being █████████ to a ████-████ ███████████ ███████. In this ████, the ███████████ █████ ██████████████ ████████ in a █████████ ███████ ████████ to ████ a ███████ ████████ (███ of the █████ █████ █████), or ████-████ ███████████ ███████, in the ████████. The █████ ████████ ████ █████████ at this ███████ ████████, and, in the ███████, █████ out the █████-█████████ ████. In ██████, ███ █████ ████████ █████ ████████ (███████████) ██████████████ to ████ ███████ ████-████ █████████, █████████ in a ███ of ██████████ ██████ █████ that █████ up as the "████-████████" ████. In the ████████ of █████████ ██████, the ███████████ █████ ██████ in a █████████ ████████████ within the ████████, which ██████████ ████████ to ████ the █████-█████████ ████.

████████ of █████████ █████ a ███████ ████████ of ███████' ██████ ████████ and ███████ ████████. The ████████ of ███████ ████████ █████ ████████ of ████ ████████████ █████ and ███████ ███████ ████████. ████████ of ███████ ███████ ████████ of ███████ ██████ is ███ to the ███████ █████ of ███████ █████ ████████ of the ████████ and █████████ █████. ███████ █████ ███████████ is ███████████ via ██████████ █████████ ██████████, ████-████ ██████, █████-████ ██████, ██████ ██████ █████████ and some █████ █████.

The ████ ██████ ███ of █████████ ███████ █████ ███████████ is to use a ████-████ ██████ █████████, ██████ it is ████ ████████ to use █████████ ████ as ██████████ █████████ ██████████.

████-████ ██████ █████████

For the ████-████ ██████ █████████, ██ can ████████ ████ █████ (█ = █, █, █, █) with ████████ ██████:

${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}){\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\left({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\cdot \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\right)}+\text{<span word-length="1" class="word redacted">█</span>.<span word-length="1" class="word redacted">█</span>.},}$

█████ █_█ are the ████████ █████ ██████████. █_█ and █_█ are █████ as the ███ ████ █████, with █_█ being the ██████ ████, and █_█ being the █████████ █████████ ████.

If the ████ █████ and the ██████ ████ are ████████████ in a ██████ with a ███-████ █^(█), this ████████ a █████████ ████████████ █████:

${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{<span word-length="2" class="word redacted">██</span>}}={\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}+{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}+{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{)}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}},}$

█████████ in ██████████ of █████ with ███████████ █████ by █ = ±█_█ ± █_█ ± █_█ in ████████ to █████-████████ ██████████ █████ with █ = ██_█, ██_█, ██_█.

As above, the █████-████████ █████████ ██████████ which of █████ █████ is the ████████. By ████████ ██████████ ████ that █ = █_█ + █_█ − █_█ and █ = █_█ + █_█ − █_█, this █████ a ████████████ █████:

${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}=\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\ast }{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\cdot \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>})}+\text{<span word-length="1" class="word redacted">█</span>.<span word-length="1" class="word redacted">█</span>.}}$

This is the ██████████ █████ for the █████-█████████ ████, █_█. ███ █████████ is █████ by █_█ = █_█ + █_█ − █_█, and ██ if the ███ ████ █████ are ██████████████████ (█_█ = −█_█), ████ the █████████ and ██████ █████ █████████ in opposite ██████████ (█_█ = −█_█). This ███████ in the ███████████████ ████████ of the ██████.

███████, it can be █████ that for a ██████ with ██████████ █████ █ and a ████ ███████████ ██████ █, the ████████ █████ █████████ of the █████████ ████ is ████████████ by

${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}=\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\ast },}$

█████ █ is the █████ of █████. If the ████ █████ █_█ and █_█ are █████ (██████████████████) █████, ████

${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>})\propto {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\ast }(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}),}$

that is, the █████████ ████ █████████ is the ███████ █████████ of the ██████ ████ █████████. Since the █████████ ████ of the █████████ ████████ the █████ of the ████, this ███████ in the ████████ of █████ ████████ of the ██████.

████ that the ████████ of ███████████████ between the ██████ and █████████ █████ can be ███████ than █. This is ███████████ a ██████ with a ██████████ ███████████ ███████ than ███%, █████████ an █████████ ██████████. The █████ for this █████ from the ███ ████ █████, which are ████████ by the ███████.

The █████████ of the █████████ ████ can be █████████ from that of the ██████ ████. If the ████ █████ are of █████████ █_█ = █_█ = █, and the ██████ ████ is ██████ in █████████ ████ that █_█ = █ + ██, ████ the █████████ ████ is of █████████ █_█ = █ − ██. This is █████ as █████████ ████████.

█████████ ███████

In █████████ ███████ ███████████████ a █████-███████████ ██████ ████████ ████████ of the ████████ ██████:

${\displaystyle {\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{out}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=-{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{in}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}),}$

("in" █████ ████████ █████, "out" █████ █████████ █████) █████

${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})={\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})\times \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}),}$

which is a ██████ ████████ ███████ of ███████████████ █████. In the ████ ███ a █████-██████████ ████ has an opposite ███████ ████████ ███████ ██████ ${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}\times \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ with ███████ to ████████ █████:

${\displaystyle {\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{out}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=-{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\text{in}}(\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}).}$

The above ██████████ are █████ ███████, █.█. in ████ █████ █████ ${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ in a █████ ██████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ for an █████ █████-███████████ ██████.

███████ ███████

In ███████ ███████████████ the ██████ with ██████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████ █████████ ██████ ████████ ${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ and ███████ ████████, █████ ██████████ on ███████████ ████ is ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}=\pm \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is ███████████ ██████ of ██████, or ███████ ██████, ${\displaystyle \mathbf{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is ███████████ ████. The ███████ ████████ ██████████ on ███████████ ████ has ████████ ██████ ${\displaystyle \pm \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$.

In ███████ ███████████████ the ██████████████ of █████ ███████████ is ████ ███████ ████████ to █████████ ███████████████. The ██████ █████████ from █████ ███████████-██████ (out) has opposite ██████████ of ██████ and ███████ ███████ with ███████ to ████████ ██████ (in):