11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Littlewood-Offord Problem
Form the
sums (black dots) of all possible subsets of
vectors (red dots). If all
vectors have norm at least 1, then at most
of the vectors lie in the green circle of diameter 1. (The function
is the floor of
.)
Contributed by:
George Beck
THINGS TO TRY
Drag Locators
Create and Delete Locators
Automatic Animation
SNAPSHOTS
DETAILS
D. Stanton and D. White,
Constructive Combinatorics
, New York: Springer–Verlag, 1986.
RELATED LINKS
Sperner's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Littlewood-Offord Problem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LittlewoodOffordProblem/
Contributed by:
George Beck
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
Euler's Generating Function for the Partition Numbers
George Beck
The Four-Runner Problem
George Beck
A Path through the Lattice Points in a Quadrant
George Beck
A Continuous Mapping That Fixes All Boundary Points but No Interior Points
George Beck
Sums of Generalized Cantor Sets
George Beck
A Noncontinuous Limit of a Sequence of Continuous Functions
George Beck
The Hilbert Hotel
George Beck
The Modified Dirichlet Function
George Beck
The Sum of Two Cantor Sets
George Beck
Cylinder Area Paradox
George Beck and Izidor Hafner
Related Topics
Analysis
Combinatorics
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+