Ads
related to: parameterized surface formula excel tutorial- AARP Job Board
Find Jobs That Value Experience
Rethink Your Job Search
- AARP Job Search Resources
Empower your search w/ tips, tools,
& techniques to guide your pursuit
- Online Business Basics
Learn the opportunities & trends in
online business. Get started today
- Going Back to School?
Find Free or Cheap College Courses
Personal or Professional Reasons
- Resume Writing After 50
Tools & advice to highlight your
skills & help avoid age bias.
- What Is Digital Marketing
Explore the opportunities & careers
in this online, fundamentals course
- AARP Job Board
Search results
Results From The WOW.Com Content Network
A parametric surface is a surface in the Euclidean space which is defined by a parametric equation with two parameters :. Parametric representation is a very general way to specify a surface, as well as implicit representation .
Parametrization is a mathematical process consisting of expressing the state of a system, process or model as a function of some independent quantities called parameters. The state of the system is generally determined by a finite set of coordinates , and the parametrization thus consists of one function of several real variables for each ...
In the case of a single parameter, parametric equations are commonly used to express the trajectory of a moving point, in which case, the parameter is often, but not necessarily, time, and the point describes a curve, called a parametric curve. In the case of two parameters, the point describes a surface, called a parametric surface.
Gauss's formula shows that the curvature at a point can be calculated as the limit of angle excess α + β + γ − π over area for successively smaller geodesic triangles near the point. Qualitatively a surface is positively or negatively curved according to the sign of the angle excess for arbitrarily small geodesic triangles. [49]
Assume that f is a scalar, vector, or tensor field defined on a surface S. To find an explicit formula for the surface integral of f over S, we need to parameterize S by defining a system of curvilinear coordinates on S, like the latitude and longitude on a sphere. Let such a parameterization be r(s, t), where (s, t) varies in some region T in ...
The resulting surface, with domain chosen to prevent self-intersection, is a catenary rotated around the axis in a helical fashion. A catenary that spans periodic points on a helix, subsequently rotated along the helix to produce a minimal surface. The fundamental domain (C) and the 3D surfaces.
Ad
related to: parameterized surface formula excel tutorial