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

many edits

Browse Source
This commit is contained in:
jverzani
2024-04-26 18:26:12 -04:00
parent 6e807edb46
commit 4f924557ad
45 changed files with 326 additions and 296 deletions
Download Patch File Download Diff File Expand all files Collapse all files

5
quarto/differentiable_vector_calculus/vector_valued_functions.qmd
View File

@@ -1345,6 +1345,7 @@ e₃(t) = sol(t)[7:9]
We fix a small time range and show the trace of the spine and the frame at a single point in time:
```{julia}
a_0, b_0 = 50, 60
ts_0 = range(a_0, b_0, length=251)
@@ -1995,10 +1996,10 @@ t0, t1, a = 2PI, PI, PI
rp = diff.(r(t), t)
speed = 2sin(t/2)
ex = r(t) - rp/speed * integrate(speed, a, t)
ex = r(t) - rp/speed * integrate(speed, t)
plot_parametric(0..4pi, r, legend=false)
plot_parametric!(0..4pi, u -> SymPy.N.(subs.(ex, t .=> u)))
plot_parametric!(0..4pi, u -> float.(subs.(ex, t .=> u)))
```
The expression `ex` is secretly `[t + sin(t), 3 + cos(t)]`, another cycloid.