Merge branch 'main' into v0.4
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@@ -31,7 +31,7 @@ flexible enough to be used as a backend for Apple's Siri
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feature. ("Siri what is the graph of x squared minus 4?") For
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learning purposes, computer algebra systems model very well the
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algebraic/symbolic treatment of the material while providing means to
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illustrate the numeric aspects. Theses notes are a bit different in
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illustrate the numeric aspects. These notes are a bit different in
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that `Julia` is primarily used for the numeric style of computing and
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the algebraic/symbolic treatment is added on. Doing the symbolic
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treatment by hand can be very beneficial while learning, and computer
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@@ -78,4 +78,4 @@ mistake, or fixing a typo -- click the "Edit this page" link.
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----
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Calculus with Julia version {{< meta version }}, produced on {{< meta
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Calculus with Julia version {{< meta version >}}, produced on {{< meta date >}}.
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@@ -424,7 +424,7 @@ This seems like a lot of work, and indeed it is more than is needed. The followi
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$$
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\int_0^\pi 100 \sin(x) dx = -100(-\cos(x)) \big|_0^{\pi} = 100 \cos(x) \big|_{\pi}^0 = 100(1) - 100(-1) = 200.
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\int_0^\pi 100 \sin(x) dx = 100(-\cos(x)) \big|_0^{\pi} = 100 \cos(x) \big|_{\pi}^0 = 100(1) - 100(-1) = 200.
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$$
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## The derivative of the integral
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@@ -136,7 +136,7 @@ Symbolic math programs include well-known ones like the commercial programs Math
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:::{.callout-note}
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## Note
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When `SymPy` is installed through the package manger, the underlying `Python` libraries will also be installed.
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When `SymPy` is installed through the package manager, the underlying `Python` libraries will also be installed.
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:::
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@@ -217,7 +217,7 @@ Julia allows variable names to use Unicode identifiers. Such names allow `julia`
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ϵ = 1e-10
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```
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Entering Unicode names follows the pattern of "slash" + LaTeX name + `[tab]` key. Some other ones that are useful are `\delta[tab]`, `\alpha[tab]`, and `\beta[tab]`, though there are [hundreds](https://github.com/JuliaLang/julia/blob/master/stdlib/REPL/src/latex_symbols.jl) of other values defined.
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Entering Unicode names follows the pattern of "backslash" + LaTeX name + `[tab]` key. Some other ones that are useful are `\delta[tab]`, `\alpha[tab]`, and `\beta[tab]`, though there are [hundreds](https://github.com/JuliaLang/julia/blob/master/stdlib/REPL/src/latex_symbols.jl) of other values defined.
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For example, we could have defined `theta` (`\theta[tab]`) and `v0` (`v\_0[tab]`) using Unicode to make them match more closely the typeset math:
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@@ -318,7 +318,7 @@ Let `x = 4`. Compute $y=100 - 2x - x^2$. What is the value:
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#| hold: true
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#| echo: false
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x = 4
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y =- 100 - 2x - x^2
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y = 100 - 2x - x^2
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numericq(y, 0.1)
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```
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