10922
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Surface with Branch Cuts
This Demonstration shows a function composition of multivalued functions with branch cuts.
Contributed by:
Yu-Sung Chang
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
The first complex function defines the frequency of branch cuts, and is controlled by the 2D slider labeled parameters.
During the plotting we symbolically analyze the functions in order to remove the domain regions where the branch cuts occur.
RELATED LINKS
Branch Cut
(
Wolfram
MathWorld
)
Elementary Functions
(
The Wolfram Functions Site
)
Complex Components
(
The Wolfram Functions Site
)
PERMANENT CITATION
"
Surface with Branch Cuts
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SurfaceWithBranchCuts/
Contributed by:
Yu-Sung Chang
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Bessel Functions in the Complex Plane
Jeff Bryant
Tangent to a Surface
Jeff Bryant and Yu-Sung Chang
Tangent Planes to Quadratic Surfaces
Gerhard Schwaab and Chantal Lorbeer
Surfaces and Gradients
Nevin Raj
Visualizing the Poisson Kernel
Robert Root
Riemann Surface Transition
Michael Trott
Mathematics of Tsunamis
Yu-Sung Chang
Maximizing the Volume and Surface Area of Geometric Solids Inscribed in a Sphere
Marc Brodie (Wheeling Jesuit University)
Möbius Transforms
Roman E. Maeder
Surface Integrals over Segments of Parametrized Surfaces
Michael Rogers
Related Topics
3D Graphics
Analysis
Calculus
Complex Analysis
Multivariable Calculus
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+