closed curve

It is true actually for any closed curve that the flux out of it is going to be twice the area of the region inside.

That is all pretty good. Let me tell you now what if I have to compute flux along a closed curve and I don't want to compute it.

If I am path independent, then if I take a closed curve, well, it has the same endpoints as just the curve that doesn't move at all.

It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve .

Well, let's take my favorite closed curve on the surface of a sphere.

If it is a closed curve, we should be able to replace it by a double integral.

If the interior of any closed curve in R -- - is also contained in R.

If I move along this closed curve, I start at the origin.

So, to say that a vector field with conservative means 0 that the line integral is zero along any closed curve.

Drawing tools: Line, Line Arrows, Scribble, Polygon, Curve and Closed Curve.

Stokes says if I have a closed curve in space, now I have to decide what kind of thing it bounds.

And so, when I take the line integral along a closed curve, 0 I don't have to compute it. I notes going to be zero.

Let's us replace a line integral along a closed curve by a double integral Well, here it is the same.

And, I still want to compute the line integral along a closed curve.

An algorithm for constructing rational spline closed curve which is tangent to the given polygon is described.

That means when you go along a closed curve, 0 well, the change of value of a potential should be zero.

I need to be on a closed curve to do it.

It just reminds you that you are doing it on a closed curve.

Draws a green closed curve through the seven points.

It says that the line integral is zero along any closed curve.

Also, a new method of the representation of closed curve is given.

The circumference is the distance around a closed curve.

Well, you just take a closed curve in the plane.

Each group of lines will be concluded and corrected recursively until there is a closed curve.

That's a closed curve. So, I would like to use Green's theorem.

Adds a closed curve to this path .

I know in advance that any closed curve, C so, C in particular, has to bound some surface.

The main result is that system (3. 9) exists an attracting invariant closed curve and complicated dynamic quality.

OK, so in particular, if you have a vector field that's defined everywhere the plane, then you take any closed curve.

Green's theorem for flux says I have a closed curve that goes counterclockwise around some region.

Well, the line integral along C1 minus C2, well, C1-C2 let's just form a closed curve that is C1 minus C2.

A Method to Calculate the Normal Vector of a Closed-Curve Surface

Singular integral equations with complex translations on closed curve

On the Computing Methods of Complex Integration When the Path of Integration is not Closed Curve

Algorithm of Closed Curve Fairing Optimization Interpolation Based on Manifold

interpolating g2 continuous closed curve with rational conics

Fast Approach for Line-arc Closed Curve Intersection

A inequality about the closed curve on a sphere

Fast Detection of Closed Curve in Image Based on Feature Points Extraction