The Package HYPQ for handling basic hypergeometric series (q-series) Loading the package: In[1]:= << hyp.q The basic objects. The q-binomial coefficient:

Source URL: www.ima.umn.edu

Where does Combinatorial Analysis fit in? David Bressoud Macalester College (1) What’s in chapter CM (2) My favorite bits of Combinatorial Analysis

Source URL: www.ima.umn.edu

• Number theory
• Enumerative combinatorics
• Partition
• Binomial coefficient
• Prime number
• Catalan number
• Multinomial theorem
• Factorial
• Number
• Mathematics
• Integer sequences
• Combinatorics

Chapter 9 Weight and Distance Enumeration The weight and distance enumerators record the weight and distance information for the code. In turn they can be analyzed to reveal properties of the code. The most important re

Source URL: www.mth.msu.edu

• Enumerator polynomial
• Error detection and correction
• Combinatorics
• Prime numbers
• Binomial coefficient
• Fundamental theorem of algebra
• Mathematics
• Coding theory
• Discrete mathematics

MAKING THE REALS FROM THE RATIONALS, WEEK 5-8 MATTHEW TAI After finding out that the embedding method didn’t work, we had two options: we could either try to salvage the method, or turn to something else. We decided to

Source URL: www.themathcircle.org

• Discrete mathematics
• Binomial coefficient
• Factorial
• Mathematics
• Combinatorics
• Integer sequences

The 24th Austrian–Polish Mathematics Competition Austria, June[removed]Determine the number of positive integers a for which there exist nonnegative integers x0 , x1 , . . . , x2001 satisfying a

Source URL: www.mimuw.edu.pl

• Algebraic number theory
• Integer sequences
• Decimal representation
• Pi
• Floor and ceiling functions
• Integer
• Binomial coefficient
• Factorial
• Mathematics
• Abstract algebra
• Mathematical notation

PROBLEM OF THE WEEK Solution of Problem No. 2 (Spring 2014 Series) Problem: It is known that, for any positive integer m, X

Source URL: www.math.purdue.edu

• Integer sequences
• Binomial coefficient
• Enumerative combinatorics
• Mathematical series
• Prime numbers
• Catalan number
• Mathematics
• Mathematical analysis
• Combinatorics

Last modified: March 20, 2005. MY MAIN WORK ON THE THREE TOPICS Zhi-Wei Sun Department of Mathematics Nanjing University

Source URL: math.nju.edu.cn

• Integer sequences
• Number theory
• Factorial
• Ring
• Binomial coefficient
• Factorization of polynomials over a finite field and irreducibility tests
• Mathematics
• Mathematical analysis
• Combinatorics

The Analysis of Simultaneous Differences in Differential Cryptanalysis S. Murphy Technical Report RHUL–MA–2012–13

Source URL: www.ma.rhul.ac.uk

• Combinatorics
• Integer sequences
• Chi-squared distribution
• Factorial
• Multivariate normal distribution
• Logarithm
• Partial fractions in complex analysis
• Binomial coefficient
• Mathematics
• Mathematical analysis
• Normal distribution

THE AVERAGE ORDER OF ELEMENTS IN THE MULTIPLICATIVE GROUP OF A FINITE FIELD YILAN HU AND CARL POMERANCE A BSTRACT. We consider the average multiplicative order of a nonzero element in a finite field and compute the mean

Source URL: www.math.dartmouth.edu

• Number theory
• Field theory
• Prime numbers
• Factorial
• Prime-counting function
• Finite field
• Binomial coefficient
• Transcendental number
• Mathematics
• Combinatorics
• Integer sequences

Probability Reference Combinatorics and Sampling A permutation is an ordered selection. The number of permutations of k items picked from a list of n items, without replacement, is P (n; k) := n(n |

Source URL: uhaweb.hartford.edu

• Polynomials
• Beta function
• Negative binomial distribution
• Probability density function
• Orthogonal polynomials
• Mathematical series
• Bernoulli polynomials
• Binomial coefficient
• Mathematical analysis
• Mathematics
• Special functions