- 입력: vector
- 출력: vector
- 예시
- \(\mathbf s(u,v)=(u,v,1+u^2+\frac{v}{1+v^2})^T, 0\leq u,v\leq 1\) \[\begin{aligned} \mathbb R^2 &\rightarrow \mathbb R^3 \\ (u,v) &\rightarrow (x,y,z) \end{aligned} \] where \(x=u, y=1+u^2, z=1+u^2+\frac{v}{1+v^2}\)
- graph 표현
1 Multivariable Vector Function
\[ \begin{align*} \mathbf{y} & =\mathbf F(\mathbf{x}),\space f:\mathbb{R}^{m}\rightarrow\mathbb{R}^{n}\\ \mathbf{F}(\mathbf{x}) & =(f_{1}(\mathbf{x}),f_{2}(\mathbf{x}),...,f_{n}(\mathbf{x}))^{T},\mathbf{x}\in\mathbb{R}^{m} \end{align*} \]
#| echo: false
#| eval: false
radius = 10
from IPython.display import display, Markdown
display(Markdown("""
The radius of the circle is {radius}.
""".format(radius = radius)))