The exponential function
has the Maclaurin series
. Truncating this series gives a polynomial of degree
. The roots of this polynomial in the complex plane, when scaled by
, approach the Szegö curve
. Drag the slider to vary the polynomial degree
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Schoenberg Plane-Filling Curve
Simple Spline Curves
Richard Phillips and Rob Morris
Pythagorean-Hodograph (PH) Cubic Curves
Isabelle Cattiaux-Huillard and Gudrun Albrecht
Elliptic Curves on a Small Lattice
Ed Pegg Jr
How Does the Vertex Location of a Parabola Change?
Graphs of Taylor Polynomials
Zeros of Truncated Series of Elementary Functions
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2014 Wolfram Demonstrations Project & Contributors |
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