daviddoji/CalculusWithJuliaNotes.jl
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Update transformations.qmd

Browse Source 
some typos
This commit is contained in:
Fang Liu 2023-04-09 10:45:48 +08:00
parent 6889ff8b1b
commit f746a6acec
1 changed files with 4 additions and 4 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
quarto/precalc/transformations.qmd
View File

@ -94,7 +94,7 @@ plot!(gf, label="g∘f")
:::{.callout-note}
## Note
Unlike how the basic arithmetic operations are treated, `Julia` defines the infix Unicode operator `\\circ[tab]` to represent composition of functions, mirroring mathematical notation. This infix operations takes in two functions and returns an anonymous function. It can be useful and will mirror standard mathematical usage up to issues with precedence rules.
Unlike how the basic arithmetic operations are treated, `Julia` defines the infix Unicode operator `\circ[tab]` to represent composition of functions, mirroring mathematical notation. This infix operations takes in two functions and returns an anonymous function. It can be useful and will mirror standard mathematical usage up to issues with precedence rules.
:::
@ -108,7 +108,7 @@ $$
(f \circ g)(x) = (e^x - x)^2 + 2(e^x - x) - 1.
$$
If can be helpful to think of the argument to $f$ as a "box" that gets filled in by $g$:
It can be helpful to think of the argument to $f$ as a "box" that gets filled in by $g$:
@ -484,7 +484,7 @@ If $h(x) = (f \circ g)(x) = \sin^2(x)$ which is a possibility for $f$ and $g$:
#| hold: true
#| echo: false
choices = [raw"``f(x)=x^2; \quad g(x) = \sin^2(x)``",
raw"```f(x)=x^2; \quad g(x) = \sin(x)``",
raw"``f(x)=x^2; \quad g(x) = \sin(x)``",
raw"``f(x)=\sin(x); \quad g(x) = x^2``"]
answ = 2
radioq(choices, answ)
@ -519,7 +519,7 @@ Let $h(x) = 4x^2$ and $f(x) = x^2$. Which is **not** true:
#| echo: false
choices = [L"The graph of $h(x)$ is the graph of $f(x)$ stretched by a factor of ``4``",
L"The graph of $h(x)$ is the graph of $f(x)$ scaled by a factor of ``2``",
L"The graph of $h(x)$ is the graph of $f(x) shifted up by ``4`` units"]
L"The graph of $h(x)$ is the graph of $f(x)$ shifted up by ``4`` units"]
answ = 3
radioq(choices, answ)
```