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Every Möbius strip dissection of unequal squares can be glued along its edge to produce a dissection of the Klein bottle. There are no other ways to tile a Klein bottle with ...

Consider the plane quartic curve X defined by x^3y+y^3z+z^3x=0, where homogeneous coordinates have been used here so that z can be considered a parameter (the plot above ...

The complexity of a pattern parameterized as the shortest algorithm required to reproduce it. Also known as bit complexity.

Let Q_i denote anything subject to weighting by a normalized linear scheme of weights that sum to unity in a set W. The Kolmogorov axioms state that 1. For every Q_i in W, ...

The characteristic escape rate from a stable state of a potential in the absence of signal.

Numbers 1, alpha_1, ..., alpha_L are rationally independent iff under the action of rotation rho_(alpha_1)×...×rho_(alpha_L) on the L-dimensional torus, every orbit is ...

The order n>=2 L-polyomino consists of a vertical line of n squares with a single additional square attached at the bottom.

A method for constructing magic squares of singly even order n>=6.

Coefficients which appear in Lagrange interpolating polynomials where the points are equally spaced along the abscissa.

The numbers B_(n,k)(1!,2!,3!,...)=(n-1; k-1)(n!)/(k!), where B_(n,k) is a Bell polynomial.