Surface Integrals over Segments of Parametrized Surfaces

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Compute the integral of the integrand over the part of the surface bounded by the loop defined by the movable locators in the domain on the left. Be aware that the orientation of the loop is significant. If a loop is not a counterclockwise, simple, closed curve, then the contribution to the integral of each segment cut off by the loop is multiplied by its winding number. (The orientation can be seen in the color of the points: red to green to blue, and back to red.) The points may determine a loop in three ways: a Bézier curve, a B-spline curve, or an interpolation through the points.

Contributed by: Michael Rogers  (March 2011)
(Oxford College of Emory University)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send