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Code Issues Releases Wiki Activity

some fixes

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Pomax
2021-01-10 13:17:36 -08:00
parent 39d0148269
commit 403f7f0595
33 changed files with 382 additions and 294 deletions
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n n-i i
Bézier(n,t) = ❯ \undersetбиноминальный термин\underbrace\binomni · \ \undersetполиноминальный термин\underbrace(1-t) · t · \
‾‾ i=0
\undersetвес\underbracew
i

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n n-i i
Bézier(n,t) = ❯ \undersetбиноминальный термин\underbrace\binomni · \ \undersetполиноминальный термин\underbrace(1-t) · t · \
‾‾ i=0
\undersetвес\underbracew
i

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ k k-i i
Bézier'(n,t) = ❯ \undersetбиноминальный термин\underbrace\binomki · \ \undersetполиноминальный термин\underbrace(1-t) · t · \
‾‾ i=0
\undersetвес производной\underbracen · (w - w ) , with k=n-1
i+1 i

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ x! y x-y x! k x-k ╮
... = n │ ──────── t (1-t) - ──────── t (1-t) │ , где x=n-1, y=k-1
╰ y!(x-y)! k!(x-k)! ╯
... = n (B (t) - B (t))
(n-1),(k-1) (n-1),k

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
d __ n-1 __ n-1
Bézier (t) ── = ❯ n · B (t) · (w - w ) = ❯ B (t) · \undersetвес производной \underbracen · (w - w )
n,k dt ‾‾ k=0 n-1,k k+1 k ‾‾ k=0 n-1,k k+1 k

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
линийный= \colorbluea + \colorredb
квадратый= \colorbluea · \colorbluea + \colorbluea · \colorredb + \colorredb · \colorredb
кубический= \colorbluea · \colorbluea · \colorbluea + \colorbluea · \colorbluea · \colorredb + \colorbluea · \colorredb · \colorredb + \colorred
b · \colorredb · \colorredb

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
линийный= 1 + 1
квадратый= 1 + 2 + 1
кубический= 1 + 3 + 3 + 1
квартический= 1 + 4 + 6 + 4 + 1

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
линейный= (1-t) + t
2 2
квадратный= (1-t) + 2 · (1-t) · t + t
3 2 2 3
кубический= (1-t) + 3 · (1-t) · t + 3 · (1-t) · t + t

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n n-i i
Bézier(n,t) = ❯ \undersetбиноминальный термин\underbrace\binomni · \ \undersetполиноминальный термин\underbrace(1-t) · t
‾‾ i=0