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Cryptology is the science of making and breaking secure codes. It consists of cryptography, the science of making secure codes, and cryptanalysis, the science of breaking ...

The 3-node tournament (and directed graph) illustrated above (Harary 1994, p. 205).

The cylindrical parts of a system of real algebraic equations and inequalities in variables {x_1,...,x_n} are the terms f_1 <= x_1<=g_1 (1) f_2(x_1) <= x_2<=g_2(x_1) (2) | ...

Let A be any algebra over a field F, and define a derivation of A as a linear operator D on A satisfying (xy)D=(xD)y+x(yD) for all x,y in A. Then the set D(A) of all ...

The curve d(u) in the ruled surface parameterization x(u,v)=b(u)+vd(u).

A generalization by Kronecker of Kummer's theory of prime ideal factors. A divisor on a full subcategory C of mod(A) is an additive mapping chi on C with values in a ...

A term in social choice theory meaning each alternative receives equal weight for a single vote.

The second-order ordinary differential equation y^('')+[(alphaeta)/(1+eta)+(betaeta)/((1+eta)^2)+gamma]y=0, where eta=e^(deltax).

The partial differential equation u_(xy)+(alphau_x-betau_y)/(x-y)=0.

The problem of finding in how many ways E_n a plane convex polygon of n sides can be divided into triangles by diagonals. Euler first proposed it to Christian Goldbach in ...