piecewise differentiable curve

SearchAdvancedHelp

(0.001 seconds)

3 matching pages

1: 1.6 Vectors and Vector-Valued Functions

… ►The curve $C$ is piecewise differentiable if $𝐜$ is piecewise differentiable. … …

2: 1.9 Calculus of a Complex Variable

… ►

Differentiation

►A function $f(z)$ is complex differentiable at a point $z$ if the following limit exists: … ►A function $f(z)$ is said to be analytic (holomorphic) at $z=z_0$ if it is complex differentiable in a neighborhood of $z_0$. … ►If $x(t)$ and $y(t)$ are continuous and $x^{\prime }(t)$ and $y^{\prime }(t)$ are piecewise continuous, then $z(t)$ defines a contour. … ►

Jordan Curve Theorem

…

3: 1.4 Calculus of One Variable

… ►For an example, see Figure 1.4.1 … ►When this limit exists $f$ is differentiable at $x$. … ► … ►

Mean Value Theorem

… ►A continuously differentiable function is convex iff the curve does not lie below its tangent at any point. …