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Code Issues Releases Wiki Activity

deploy regeneration

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Pomax
2022-01-04 11:50:23 -08:00
parent ce1ee672a4
commit b243e9830f
508 changed files with 59429 additions and 32670 deletions
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ ╭ ╭ 1 0 0
│ │ │ α × d , with d either 0 or 1
│ │ 2 1 1 │ 3 3 3
│ │ α × d , with d = ╡ +
│ │ 3 3 3 │ ╭ 1 ╮ 0 0
│ │ │ │ 1 - α │ × d , with d either 0 or 1
│ 3 2 2 │ ╰ ╰ 3 ╯ 2 2
│ α × d , with d = ╡ +
│ 3 3 3 │ ╭ 1 0
│ │ │ α × d
│ │ ╭ 2 ╮ 1 1 │ 2 2
│ │ │ 1 - α │ × d , with d = ╡ +
3 │ │ ╰ 3 ╯ 2 2 │ ╭ 1 ╮ 0 0
d = ╡ │ │ │ 1 - α │ × d , with d either 0 or 1
3 │ ╰ ╰ ╰ 2 ╯ 1 1
│ +
│ ╭ 2 1
│ │ α × d
│ │ 2 2
│ │
│ ╭ 3 ╮ 2 2 │ +
│ │ 1 - α │ × d , with d = ╡ ╭ 1 0
│ ╰ 3 ╯ 2 2 │ │ α × d
│ │ ╭ 2 ╮ 1 1 │ 1 1
│ │ │ 1 - α │ × d , with d = ╡ +
│ │ ╰ 2 ╯ 1 1 │ ╭ 1 ╮ 0 0
│ │ │ │ 1 - α │ × d , with d either 0 or 1
╰ ╰ ╰ ╰ 1 ╯ 0 0
╭ ╭ ╭ 1 0 0
│ │ │ α × d , with d either 0 or 1
│ │ 2 1 1 │ 3 3 3
│ │ α × d , with d = ╡ +
│ │ 3 3 3 │ ╭ 1 ╮ 0 0
│ │ │ │ 1 - α │ × d , with d either 0 or 1
│ 3 2 2 │ ╰ ╰ 3 ╯ 2 2
│ α × d , with d = ╡ +
│ 3 3 3 │ ╭ 1 0
│ │ │ α × d
│ │ ╭ 2 ╮ 1 1 │ 2 2
│ │ │ 1 - α │ × d , with d = ╡ +
3 │ │ ╰ 3 ╯ 2 2 │ ╭ 1 ╮ 0 0
d = ╡ │ │ │ 1 - α │ × d , with d either 0 or 1
3 │ ╰ ╰ ╰ 2 ╯ 1 1
│ +
│ ╭ 2 1
│ │ α × d
│ │ 2 2
│ │
│ ╭ 3 ╮ 2 2 │ +
│ │ 1 - α │ × d , with d = ╡ ╭ 1 0
│ ╰ 3 ╯ 2 2 │ │ α × d
│ │ ╭ 2 ╮ 1 1 │ 1 1
│ │ │ 1 - α │ × d , with d = ╡ +
│ │ ╰ 2 ╯ 1 1 │ ╭ 1 ╮ 0 0
│ │ │ │ 1 - α │ × d , with d either 0 or 1
╰ ╰ ╰ ╰ 1 ╯ 0 0

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ t- knot ╮ ╭ knot -t ╮
│ i │ │ (i+k) │
N (t) = │ ───────────────────── │ · N (t) + │ ─────────────────────── │ · N (t)
i,k │ knot - knot │ i,k-1 │ knot - knot │ i+1,k-1
╰ (i+k-1) i ╯ ╰ (i+k) (i+1) ╯
╭ t- knot ╮ ╭ knot -t ╮
│ i │ │ (i+k) │
N (t) = │ ───────────────────── │ · N (t) + │ ─────────────────────── │ · N (t)
i,k │ knot - knot │ i,k-1 │ knot - knot │ i+1,k-1
╰ (i+k-1) i ╯ ╰ (i+k) (i+1) ╯

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ 1 if t ∈[ knot , knot )
N (t) = ╡ i i+1
i,1 ╰ 0 otherwise
╭ 1 if t ∈[ knot , knot )
N (t) = ╡ i i+1
i,1 ╰ 0 otherwise

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
k 0 ╭ 1 if t ∈[ knot , knot )
d (t) = 0, d (t) = N (t) = ╡ i i+1
0 i i,1 ╰ 0 otherwise
k 0 ╭ 1 if t ∈[ knot , knot )
d (t) = 0, d (t) = N (t) = ╡ i i+1
0 i i,1 ╰ 0 otherwise

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
__ n
Point(t) = ❯ P · N (t)
‾‾ i=0 i i,k
__ n
Point(t) = ❯ P · N (t)
‾‾ i=0 i i,k

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
k 0 ╭ 1 if t ∈[knot ,knot )
d (t) = 0, d (t) = N (t) = ╡ i i+1
0 i i,1 ╰ 0 otherwise

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
t - knots[i]
α = ─────────────────────────
i,k knots[i+1+n-k] - knots[i]

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ t-knot ╮ ╭ knot -t ╮
│ i │ │ (i+k) │
N (t) = │ ─────────────────── │ · N (t) + │ ───────────────────── │ · N (t)
i,k │ knot - knot │ i,k-1 │ knot - knot │ i+1,k-1
╰ (i+k-1) i ╯ ╰ (i+k) (i+1) ╯

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
t - knots[i]
α = ───────────────────────────
i,k knots[i+1+n-k] - knots[i]
t - knots[i]
α = ───────────────────────────
i,k knots[i+1+n-k] - knots[i]

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
╭ 1 if t ∈[knot ,knot )
N (t) = ╡ i i+1
i,1 ╰ 0 otherwise

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
k k-1 k-1
d (t) = α · d (t) + (1-α ) · d (t)
i i,k i i,k i-1
k k-1 k-1
d (t) = α · d (t) + (1-α ) · d (t)
i i,k i i,k i-1