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Pomax
2020-10-18 14:27:57 -07:00
parent 133105d44e
commit 0f6683ca6d
314 changed files with 11182 additions and 266 deletions
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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────┐
╭ z │ 2 2 z ┌ ╭ z -1 z ╮ ╭ z 1 z ╮ ┐
| ⟍│(dx/dt) +(dy/dt) dt ≃ ─ · │ f│ ─ · ──── + ─ │ + f│ ─ · ──── + ─ │ │
╯ 0 2 │ │ 2 ┌─┐ 2 │ │ 2 ┌─┐ 2 │ │
└ ╰ ⟍│3 ╯ ╰ ⟍│3 ╯ ┘

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────┐
╭ z │ 2 2
| ⟍│(dx/dt) +(dy/dt) dt
╯ 0
z ┌ ╭ z z ╮ ╭ z z ╮ ┐
≃ \ ─ · │ C · f│ ─ · t + ─ │ + ... + C · f│ ─ · t + ─ │ │
2 └ 1 ╰ 2 1 2 ╯ n ╰ 2 n 2 ╯ ┘
z __ n ╭ z z ╮
= \ ─ · ❯ C · f│ ─ · t + ─ │
2 ‾‾ i=1 i ╰ 2 i 2 ╯

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────┐
╭ z │ 2 2
length = | ⟍│(dx/dt) +(dy/dt) dt
╯ 0

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌───────────────┐
╭ z │ 2 2
| │f '(t) +f '(t) dt
╯ 0⟍│ x y

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
C = 1
1
C = 1
2
1
t = - ────
1 ┌─┐
⟍│3
1
t = + ────
2 ┌─┐
⟍│3

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\setmainfont[Ligatures=TeX]TeX Gyre Pagella \setmathfontTeX Gyre Pagella Math
┌─────────────────┐
╭ 1 │ 2 2 ╭ 1
| ⟍│(dx/dt) +(dy/dt) dt = | f(t) dt ≃ ┌ \undersetstrip 1 \underbrace C · f(t ) + ... + \undersetstrip n \underbrace C · f(t ) ┐ =
╯ -1 ╯ -1 └ 1 1 n n ┘
__ n
\undersetstrips 1 through n \underbrace ❯ C · f(t )
‾‾ i=1 i i