Index

24-cell

affine plane

Alcuin

Alcuin’s sequence

algebra

Appel, Kenneth

arithmetic progression

automorphism

automorphism group

Bacher, Roland

Bell number

Berlekamp, Elwyn R.

Bhattotpala

binary search tree

binary string

binomial coefficient

binomial theorem

block design

balanced incomplete

incidence matrix of

square

Bonferroni inequalities

Bose, Raj Chandra

Bruck, Richard H.

Bruck–Chowla–Ryser theorem

Bruijn, N. G. de

de Bruijn’s formula

Burnside’s lemma

cards

Cassini’s identity

Catalan number

Catalan, Eugène Charles

Cayley algebra

Cayley loop

Cayley table

Cayley’s theorem

centralizer

centroid

characteristic polynomial

check bit

chess

Chinese remainder theorem

Chowla, Sarvadaman D. S.

chromatic number

Chvátal, Václav

circuit

simple

code

cyclic

dimension of

distance of

generating matrix for

Golay

Hadamard

Hamming

linear

parity check matrix for

perfect

rate of

self-symmetric

size of

triplicate

codeword

coloring

surjective

combination

compactness principle

composition (of integer)

confusion graph

conjugacy class

contact number

Conway, John Horton

covering problem

cycle index

De Moivre, Abraham

De Polignac’s formula

Delannoy number

Delannoy walk

derangement

design

block

complement of

derived

Hadamard

ordered orthogonal

Steiner system

t-

determinant

difference operator

Dilworth’s lemma

infinitary version

Dilworth’s theorem

Dilworth, R. P.

Dirac, G. A.

Dirichlet, Johann Peter Gustav Lejeune

distance

Euclidean

Hamming

of code

distribution

dollar, change for

double-parameter theorem

Ebert, Todd

Eliahou, Shalom

entropy

epimorphism

Erdós and Szekeres theorem

Erdós-Szekeres theorem

infinitary version

Erdós, Paul

ergodic theory

error correction

error detection

Euclidean space

Euclidean sphere

Euler’s ϕ-function

Euler’s theorem

Euler, Leonhard

factorial

falling

rising

Falco, Marsha

Fano Configuration

Fano, Gino

Fermat’s last theorem

Fermat’s little theorem

Ferrers diagram

transpose of

Ferrers, Norman

Fibonacci (Leonardo of Pisa)

Fibonacci number

composite

prime

Fibonacci sequence

di Fiore, Carlos

first homomorphism theorem for groups

Fisher’s inequality

nonuniform

Fisher, Ronald A.

fixed point

Folkman number

Folkman’s theorem

Folkman, Jon

four color theorem

function

one-to-one

onto

functions

equivalent

inequivalent

fundamental problem of coding theory

fundamental region

Furstenberg, Hillel

Gallai’s theorem

Gauss’s q-binomial coefficient

generating function

exponential

ordinary

rational

Gilbert lower bound

Ginzburg, A.

Gleason, A. M.

Golay code

G₁₁

G₂₃

G₂₄

Golay, Marcel

golden ratio

graph

asymmetric

chromatic number of

circuit

coloring of

complement of

complete

complete bipartite

confusion

connected

cubic

cycle

Hamiltonian

independence number of

infinite complete

infinite complete bipartite

labeled

lines of

order of

path

planar

points of

regular

self-complementary

size of

tree

unlabeled

graphs, isomorphic

Green, Ben

Greenwood, R. E.

group

abelian

alternating

cyclic

dihedral

finite

general linear

identity

Mathieu

Monster

nonabelian

of Lie type

of symmetries

order of

order of element in

projective general linear

projective special linear

simple

special linear

sporadic simple

symmetric

triangle

group action

conjugation

natural

orbit of

transitive

group presentation

group representation

groupoid

Hadamard code

Hadamard design

Hadamard matrix

normalized

Hadamard’s theorem

Hadamard, Jacques

Haken, Wolfgang

Hales, Thomas

Hales–Jewett theorem

Hall’s marriage theorem

Hall, Philip

Hamilton, William Rowan

Hamiltonian circuit

Hamming code

Hamming distance

Hamming metric

Hamming sphere

Hamming upper bound

Hamming, Richard

Handshake Theorem

Harary, Frank

Hardy, G. H.

homomorphism

hook-length formula

Hoppe, R.

Hui, Yang

hyperbolic plane

hypercube

hypergraph

hypersphere

ideal point

identity

Cassini’s

Jacobi’s

Pascal’s

subcommittee

Vandermonde’s

inclusion–exclusion principle

independence number

information bit

involution

Ising problem

isomorphism

Jacobi’s identity

Jin, Emma Yu

König, Dénes

Kepler’s conjecture

Kim, J. H.

kissing number

König–Egerváry theorem

Königsberg bridge problem

Kreher, Donald, L.

Kronecker product

Kummer’s theorem

Kummer, Ernst

Lam, Clement Wing Hong

Latin rectangle

Latin square

standardized

lattice

discrete

neighbors in

lattice point

lattice point problem

lattice sphere packing

contact number of

minimum distance of

Laurent series

Leech’s lattice

Leech, John

Legendre symbol

Legendre’s formula

Legendre, Adrien-Marie

Liber Abaci

line at infinity

linear order

linear recurrence relation

van Lint, J. H.

Littlewood–Offord problem

loop

Lovász, Lásló

Lubell, David

Lucas number

Lucas’ theorem

Lucas, Francois Édouard Anatole

Mantel’s theorem

Mantel, W.

marriage theorem

mathematical induction

Mathieu group

Mathieu, Émile

matrix

Menger’s theorem

metric

Hamming

Möbius inversion formula

monoid

monomorphism

multigraph

multinomial coefficient

multinomial theorem

multiplication principle

Nagy, Zsigmond

Nebel, Markus E.

norm

number

prime

square

triangular

Odlyzko, Andrew M.

Online Encyclopedia of Integer Sequences

OOD-net

ordered orthogonal design

packing density

packing problem

parameter theorem

Parker, E. T.

partial fractions

partial order

antichain in

chain in

length of

width of

partition number

partition of a set

partition of an integer

conjugate

Pascal’s identity

Pascal’s triangle

Pascal, Blaise

path

simple

perfect code

permutation

cycle form

cycle notation for

cycle structure of

even

fixed point of

involution

odd

transposition

Perrin’s sequence

pigeonhole principle

infinitary

nonuniform

Platonic solid

point at infinity

Pólya, George

Pólya’s theorem

polyhedron

polynomial

prime number

probabilistic method

probability

projective plane

lines of

points of

pseudorandom constructions

quadratic formula

quantizing problem

quasigroup

Rado’s theorem

Radziszowski, Stanislaw

Ramanujan, Srinivasa

Ramsey number

diagonal

graph

Ramsey’s theorem

Ramsey’s theorem for hypergraphs

Ramsey’s theorem for infinite graphs

Ramsey’s theorem for infinite hypergraphs

Ramsey’s theorem for multiple colors

Ramsey, Frank

recurrence relation

characteristic polynomial of

linear

linear homogeneous with constant coefficients

Redfield, John H.

reflection

Reiher, Christian

relation

binary

equivalence

linear order

partial order

total order

Rényi, Alfred

Riordan, John

Robinson–Schensted algorithm

root of unity

Ryser, Herbert J.

Schütte’s theorem

Schoen, T.

Schur’s formula

Schur’s theorem

Schur, Issai

semigroup

sequence

decreasing

increasing

monotonic

monotonically decreasing

monotonically increasing

strictly decreasing

strictly increasing

series

Laurent

sum of

telescoping

theta

series multisection

set

labeled

partition of

unlabeled

SET® game

sets, linked

Shannon, Claude

Shrikhande, S. S.

Silva, D. A. da

Singmaster, David

Sloane, Neil A.

Spencer, Joel

Sperner’s theorem

Sperner, Emanuel

sphere packing

perfect

sphere packing bound

stabilizer

Steiner system

S(5)

S(5)

Steiner triple system

Stirling number

of the first kind

signed

of the second kind

Stirling’s approximation

strong product

subcommittee identity

subgroup

normal

subsequence

Sylvester’s problem

Sylvester, James

symmetry

system of distinct representatives

Szekeres, George

Szemerédi’s theorem

Szemerédi, Endre

Tao, Terence

Tarry, G.

t-design

extension of

nontrivial

Teirlinck, Luc

theta series

Tietäväinen, Aimo

tiling

topology

total order

tournament

tree

triangle group

triangles

triangulation

Turän’s theorem

Vandermonde’s identity

Venn diagram

vertices

adjacent

nonadjacent

Vsemirnov, Maxim

Van der Waerden numbers

Van der Waerden’s theorem

Waerden, B. L. van der

weight

William Lowell Putnam Mathematical Competition

Young tableau

standard

zigzag sequence

Ziv, A.

Zycklenzeiger