Merge branch 'main' into v0.4

This commit is contained in:
jverzani
2022-08-17 15:46:27 -04:00
4 changed files with 6 additions and 6 deletions

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@@ -31,7 +31,7 @@ flexible enough to be used as a backend for Apple's Siri
feature. ("Siri what is the graph of x squared minus 4?") For
learning purposes, computer algebra systems model very well the
algebraic/symbolic treatment of the material while providing means to
illustrate the numeric aspects. Theses notes are a bit different in
illustrate the numeric aspects. These notes are a bit different in
that `Julia` is primarily used for the numeric style of computing and
the algebraic/symbolic treatment is added on. Doing the symbolic
treatment by hand can be very beneficial while learning, and computer
@@ -78,4 +78,4 @@ mistake, or fixing a typo -- click the "Edit this page" link.
----
Calculus with Julia version {{< meta version }}, produced on {{< meta
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
$$
\int_0^\pi 100 \sin(x) dx = -100(-\cos(x)) \big|_0^{\pi} = 100 \cos(x) \big|_{\pi}^0 = 100(1) - 100(-1) = 200.
\int_0^\pi 100 \sin(x) dx = 100(-\cos(x)) \big|_0^{\pi} = 100 \cos(x) \big|_{\pi}^0 = 100(1) - 100(-1) = 200.
$$
## 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
:::{.callout-note}
## Note
When `SymPy` is installed through the package manger, the underlying `Python` libraries will also be installed.
When `SymPy` is installed through the package manager, the underlying `Python` libraries will also be installed.
:::

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@@ -217,7 +217,7 @@ Julia allows variable names to use Unicode identifiers. Such names allow `julia`
ϵ = 1e-10
```
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.
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.
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:
@@ -318,7 +318,7 @@ Let `x = 4`. Compute $y=100 - 2x - x^2$. What is the value:
#| hold: true
#| echo: false
x = 4
y =- 100 - 2x - x^2
y = 100 - 2x - x^2
numericq(y, 0.1)
```