█████ (█████)

In ███████ and ███████████, the █████ (██████ █ or █) of a ████ or █████ ████████ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ of some ████ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ (████ as ████) is an █████-like ████████ ████████████ the ████████ of the █████ ███████ up to ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$. It is █████████ in ████ a █████ that it ██████ by ███ ████ ████ as the ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████ through ████ ██████ (and ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ ████ through ████ ████████ █████). It ███ be ████████ in ███ ███████ ████ ████ as ███████ or ███████, ████ ██████████ by ███° or ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ as the ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ █████████ a ████ ██████.

This ██████████ is ██████████ ███████████ for a ██████████ ████████, since ███ █████ at ███ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████ can be █████████ as ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$, the ████ of the █████, ██████████ by some ██████ (the █████████ of the ████████). (The ██████ ███ be used ███████ of ████, █████████ on █████ ███ █████████ ████ ██████ to █████.)

███████, █████ █████ are ███████ ████ ██████████ the █████; ██ that ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ is ████ a ████████ ████████, with the ████ ██████ as ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, that ██████████ █████ the ████ █████ of ██████ as ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████ through ████ ██████. ████, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is ████ to be "at the ████ █████" at ███ ████████ ██████ ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ and ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ (that is, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}})=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}({\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}})}$) if the ██████████ between ████ is a █████ ██████ of ███████.

The ███████ █████ of the █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ ███████ on the █████████ ██████ of the █████ of ████ ██████, and on the ████████ of ██████ that ████ ██████ is to be ██████ to.

The ████ "█████" is ████ used ████ █████████ a ████████ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ with a ███████ ███████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ of it. If the █████ in ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is █████████ as a ████████ of the ██████, and ████ ██████ to an █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████████ a █████ ████, ███ ████ the █████ █████, █████ ██████, or █████ ██████████ of ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ████████ to ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$. If ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is a "█████████" ████████ for a █████ of ███████, like ${\displaystyle \mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ is for ███ ██████████ ███████, ████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is ██████ the ███████ █████ of ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$.

███ the ██████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ be a ████████ ████████ of ███ ████ ████████, and ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ be ███ ██████ (that is, the ████████ ████████ ████ ██████ ████ that ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ for ███ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$). ████ the █████ of ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ at ███ ████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ is $${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\left[\left[\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\right]\right]}$$

████ ${\displaystyle [[\cdot ]]}$ ███████ the ██████████ ████ of a ████ ██████, ██████████ ███ ███████ ████; that is, ${\displaystyle [[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]]=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-\lfloor \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\rfloor }$; and ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ is an █████████ "██████" █████ of the ████████, that ███ █████████ to be the █████████ of a █████.

This ███████ can be ██████████ by █████████ a █████ with a ████ that █████ at ████████ █████, ██████ a ████ ████ █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ ███████, and is ████████ ████████ up at ████ ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$. The █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})}$ is ████ the █████ from the ██:██ ████████ to the ███████ ████████ of the ████, at ████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ████████ █████████.

The █████ ███████ is ████ ██████ ████ the ██████ ${\displaystyle {\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}$ is ██████ █████ on ████████ of ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$. For ███████, for a ████████, a ██████████ ██████ is ███ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ █████ the ████████'s █████ ███████ from ████ to ████████.

The ███████ above █████ the █████ as an █████ in ███████ between █ and ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$. To ███ the █████ as an █████ between ${\displaystyle -\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ and ${\displaystyle +\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ███ uses ███████ $${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}(\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>})=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\left(\left[\left[\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}_{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}+\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\right]\right]-\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}\right)}$$

The █████ █████████ in ███████ (from █° to ███°, or from −███° to +███°) is ███████ the ████ ███, except with "███°" in █████ of "██".

Since ██████ are ██████, ███ █████ ████ █████ ██████ ███████ be ███████ ████ ██████████ ██████████ ██████████ on ████. That is, the ███ and ██████████ of ███ ██████ (in ███████) ██████ be ████████ by the ████████ $${\displaystyle \mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}\left[\left[\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}}\right]\right]\text{ and }\mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}\left[\left[\frac{\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}-\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}{\mathrm{<span\; word-length="3"\; class="word\; redacted">███</span>}}\right]\right]}$$ ████████████. ████, for ███████, the ███ of █████ ██████ ███° + ███° is ██° (███ + ███ = ███, minus ███ ████ ████), and ███████████ ██° from ██° █████ a █████ of ███° (██ − ██ = −██, plus ███ ████ ████).