█████████████ (████████████)

█████████████ (███████ ███████: █████████████) ██████ to ███ ███████ that ███████, █████, or ███████████ ███ █████ of ████ (████████████ ██████████████ ████ as █████, ████████, ██████, and ███████████ ██████████ █████████) and █████ ██████████ ██████ (████ as ██████ or ███████) ███████ in █████ or on a ████████ ███████ or ██████. █████████████ can be ████████ through ███████ █████, █████████ ████, █████████, ███████████, ████ ████████, and ██████████. █████████████ is ████████ from ████████████, ████████████, and ██████████████, in that █████ ███████ ██████ ██████ than █████████ ███ █████ of ████ and ██████████ ██████ ███████. After █████████████, █████ or an ██████ is ████████ to as being ███████ or ███████.

█████████████ ████ to ██████ or █████████ ██████████████ and █████ █████████ █████████ ███████ in a ████████. In ██████████ and ██████████ ████████, █████ █████████████ is ████████ used for ███████ █████, except ████ ████████ ████-██████ ██████████. █████████ █████ by ████ █████████ ███████ █████-█████ ████████, which can be █████████ as: ${\displaystyle -\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$

█████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is the ██████ of ██████ ██████████████, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is the █████████████ ████, and ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is the ████████ █████ ████ ████████. ███████████ ██████:

${\displaystyle \mathrm{<span\; word-length="2"\; class="word\; redacted">██</span>}\left(\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\right)=-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$

█████ ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ is the ███████ ██████ of ██████████████.

The ██████ of █████████████ is █████ ██████████ using the ███████ █████████ ████, or █-█████, ███████ as the ████ ████████ to ██████ ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ by ███ ███████████ ████ (█.█ to ${\displaystyle {\mathrm{<span\; word-length="2"\; class="word\; redacted">██</span>}}^{-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\times {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$) or ████ ███████ ██████████ is ███████ by ███-█████ (${\displaystyle {\mathrm{<span\; word-length="2"\; class="word\; redacted">██</span>}}^{-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$). The █████████ ██████████ after ████ █ can ████ be █████████ as:

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

The █-█████ is a ████████ of █████████████ ██████████ and ██████ with the ████ of █████████████, ███████████, █████ ████████, ██, ███.

As in ███ █████-█████ ████████, the ████████ ████ █████████ with ███████████ ███ to an ████████ in the ████ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$. For ███████ ███████████ of ██████████████, the ████████ █████ ████ ███████ ████████ at a ████████ ███████████. The ██████████ of ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ on ███████████ ███████ the █████████ ████████████:

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

█████ ${\displaystyle A}$ is a ████████ █████ as █████████ ██████, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is the ██████████ ██████, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is the ███ ████████, and ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is ████████ ███████████. ███, █████████ the █████-█████ █████ ████████ with the █████████ ████████ ███████ in the following ██████████ for ████ █████████████ of a ████ ███████ at ████████ ███████████:

${\displaystyle \mathrm{<span\; word-length="2"\; class="word\; redacted">██</span>}\left(\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}\right)=-A\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}^{-\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}}$