rm WeaveSupport
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@@ -14,19 +14,6 @@ using ForwardDiff
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using LinearAlgebra
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```
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```{julia}
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#| echo: false
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#| results: "hidden"
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using CalculusWithJulia.WeaveSupport
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const frontmatter = (
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title = "Functions ``R^n \\rightarrow R^m``",
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description = "Calculus with Julia: Functions ``R^n \\rightarrow R^m``",
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tags = ["CalculusWithJulia", "differentiable_vector_calculus", "functions ``R^n \\rightarrow R^m``"],
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);
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nothing
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```
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For a scalar function $f: R^n \rightarrow R$, the gradient of $f$, $\nabla{f}$, is a function from $R^n \rightarrow R^n$. Specializing to $n=2$, a function that for each point, $(x,y)$, assigns a vector $\vec{v}$. This is an example of vector field. More generally, we could have a [function](https://en.wikipedia.org/wiki/Multivariable_calculus) $f: R^n \rightarrow R^m$, of which we have discussed many already:
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@@ -1123,5 +1110,3 @@ radioq(choices, answ)
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```
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(The latter is of interest, as only when the expression is $0$ will the vector field be the gradient of a scalar function.)
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