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Pomax
2021-02-28 12:28:41 -08:00
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commit 45394f6d0f
329 changed files with 3135 additions and 2361 deletions
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
Bézier (t) = B (t) · w + B (t) · w + B (t) · w + B (t) · w + ...
n,k n,0 0 n,1 1 n,2 2 n,3 3
d
Bézier (t) ── = n · (B (t) - B (t)) · w +
n,k dt n-1,-1 n-1,0 0
n · (B (t) - B (t)) · w +
n-1,0 n-1,1 1
n · (B (t) - B (t)) · w +
n-1,1 n-1,2 2
n · (B (t) - B (t)) · w +
n-1,2 n-1,3 3
...

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n n-i i
Bézier(n,t) = ❯ \underset binomial term\underbrace\binomni · \ \underset polynomial term\underbrace(1-t) · t · \ \underset
‾‾ i=0
weight\underbracew
i

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\usepackageunicode-math \setmainfont[Ligatures=TeX]Linux Libertine O \setmathfontXITS Math
d __ n-1 __ n-1
Bézier (t) ── = ❯ n · B (t) · (w - w ) = ❯ B (t) · \underset вес 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
__ k k-i i
Bézier'(n,t) = ❯ \underset binomial term\underbrace\binomki · \ \underset polynomial term\underbrace(1-t) · t · \ \underset derivative
‾‾ i=0
weight\underbracen · (w - w ) , with k=n-1
i+1 i

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\usepackageunicode-math \setmainfont[Ligatures=TeX]Linux Libertine O \setmathfontXITS 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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\usepackageunicode-math \setmainfont[Ligatures=TeX]Linux Libertine O \setmathfontXITS Math
__ n n-i i
Bézier(n,t) = ❯ \underset биноминальный термин\underbrace\binomni · \ \underset полиноминальный термин\underbrace(1-t) · t · \ \underset
‾‾ i=0
вес\underbracew
i

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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) · \underset derivative weights \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
d
Bézier (t) ── = n · B (t) · (w - w ) + n · B (t) · (w - w ) + n · B (t) · (w - w ) +
n,k dt (n-1),\colorblue0 1 0 (n-1),\colorred1 2 1 (n-1),\colormagenta2 3 2
...

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\usepackageunicode-math \setmainfont[Ligatures=TeX]Linux Libertine O \setmathfontXITS Math
__ k k-i i
Bézier'(n,t) = ❯ \underset биноминальный термин\underbrace\binomki · \ \underset полиноминальный термин\underbrace(1-t) · t · \
‾‾ i=0
\underset вес 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
__ n-1
Bézier'(n,t) = ❯ Bézier(n-1,t) · n · (w -w )
‾‾ i=0 i i+1 i

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n-1
Bézier'(n,t) = n · ❯ (b -b ) · Bézier(n-1,t)
‾‾ i=0 i+1 i i

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\usepackageunicode-math \setmainfont[Ligatures=TeX]Linux Libertine O \setmathfontXITS Math
__ n n-i i
Bézier(n,t) = ❯ \undersetбиноминальный термин\underbrace\binomni · \ \undersetполиноминальный термин\underbrace(1-t) · t · \
‾‾ i=0
\undersetвес\underbracew
i