91影视

By Stoke's theorem,

Stokes states, "One must be an aligning, homogenous, or linear field bound by a curve $C$." Assume that $n$is an aligned unitary paralleled line of $S$and that $C$is placed in institutions in the opposite direction of$n$.

If $F$is a vector field defined on $S$is,

${鈭�}_C鈥�\mathbf{F}(x,y,z)脳d\mathbf{r}={鈭�}_S鈥�\mathrm{curl}鈦�\mathbf{F}(x,y,z)脳\mathbf{n}dS"$

As a result, Stokes' Theorem has the following hypothesis:

$\left(1\right)$The parameter $F$is specified and indefinitely non - linear on an open set including the surface $S$constrained by localid="1650813223754" $C$.

$\left(2\right)$Curve $C$is a simple, smooth, and closed border curve.

$\left(3\right)$ The area $S$ is smooth and aligned.

The following surface are,

The pyramid surface $S$with vertices is,

$(0,0,6),(2,0,0),(鈭�2,0,0),(0,3,0),(0,鈭�3,0).$

The surface $S$is not smooth or piece-wise smooth surface so, the Stoke's theorem does not applies.