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A polynomial factorization algorithm that proceeds by considering the vector of coefficients of a polynomial P, calculating b_i=P(i)/a_i, constructing the Lagrange ...

An algebraically soluble equation of odd prime degree which is irreducible in the natural field possesses either 1. Only a single real root, or 2. All real roots.

If R is a ring (commutative with 1), the height of a prime ideal p is defined as the supremum of all n so that there is a chain p_0 subset ...p_(n-1) subset p_n=p where all ...

A generalization of the Wilcoxon rank sum test.

The Kuhn-Tucker theorem is a theorem in nonlinear programming which states that if a regularity condition holds and f and the functions h_j are convex, then a solution ...

A statistic defined to improve the Kolmogorov-Smirnov test in the tails.

The area of the dodecagon (n=12) inscribed in a unit circle with R=1 is A=1/2nR^2sin((2pi)/n)=3.

A robust estimation based on linear combinations of order statistics. Examples include the statistical median and the trimean.

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

Let a spherical triangle have sides of length a, b, and c, and semiperimeter s. Then the spherical excess E is given by