11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Triangle Inequality for Functions
Choose functions
and
and use the two graphs to understand the triangle inequality. In the vector space of square integrable functions, the inner product of the functions
and
is
and the norm of
is
.
Contributed by:
Crista Arangala
SNAPSHOTS
PERMANENT CITATION
Crista Arangala
"
Triangle Inequality for Functions
"
http://demonstrations.wolfram.com/TriangleInequalityForFunctions/
Wolfram Demonstrations Project
Published: January 17, 2014
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
Comparing Fourier Series and Fourier Transform
Martin Jungwith
Visualizing Euler's Constant
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Fourier Series of Simple Functions
Alain Goriely
Approximation of Discontinuous Functions by Fourier Series
David von Seggern (University Nevada-Reno)
Orthogonality of Two Functions with Weighted Inner Products
Alain Goriely
Haar Function Interval Points
Michael Schreiber
Euler's Generating Function for the Partition Numbers
George Beck
Numerical Inversion of the Laplace Transform: The Fourier Series Approximation
Housam Binous
The P-Series Theorem
Patrick W. McCarthy
Sum of a Telescoping Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Related Topics
Analysis
Integrals
Series
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+