███████ de ███

Em ███████, uma ███████ de ███ é uma █████████ █████████ ████ █████████ ███ está no ██████ dos ██████ de ███ e das ██████████ ██████████████. As ████████ de ███ foram ████████████ como ██████████ para o ██████ das ███████ ██████████████. O █████ "███████ de ███" é uma ██████████ a ██████ ███, e foi ███████ pelo ██████████ ███████ ████ na ██████ de ████.

Uma ███████ de ███ ${\displaystyle \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ é um ████ de ███████ sobre um █████; é um ██████ ████████ sobre um █████ █ ██████████ com uma ████████ ███████ (${\displaystyle [\cdot ,\cdot ]:\mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}\times \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}\to \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ███████ de █████████, ou ████████ de ███), que ████████ os █████████ ███████:

• █████████████:

  ${\displaystyle [a\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]=a[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}],[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},a\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]=a[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]+\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]}$

  para █████ █████████ ${\displaystyle a}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ em █ e █████ █████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ em ${\displaystyle \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}.}$

• ██████████████████:

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

  para █████ █████████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ em ${\displaystyle \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}.}$ Quando █ ███ um █████ de ██████████████ ████, ████-se █████ a ████████ mais █████

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

  para ████ █ em ${\displaystyle \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}.}$

• A ██████████ de ██████:

  ${\displaystyle [\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]]+[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]]+[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},[\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>},\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}]]=\mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$

  para █████ ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$, ${\displaystyle \mathrm{<span\; word-length="1"\; class="word\; redacted">█</span>}}$ em ${\displaystyle \mathfrak{<span\; word-length="1"\; class="word\; redacted">█</span>}.}$

Para ████████ ███████ ███████████ A com █████████████ *, pode-se █████████ uma ███████ de ███ █(A). Como ██████ ████████, █(A) ████████ com A. O ████████ de ███ de █(A) é ████████ como █████ o seu █████████ em A: