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Approximates the possible values of y in terms of x if sum_(i,j=0)^na_(ij)x^iy^j=0.

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.

Coordinates defined by an orthocentric system.

The point at which a curve or function crosses the x-axis (i.e., when y=0 in two dimensions).

An alternating multilinear form on a real vector space V is a multilinear form F:V tensor ... tensor V->R (1) such that ...

An archaic name for the torus.

For P, Q, R, and S polynomials in n variables [P·Q,R·S]=sum_(i_1,...,i_n>=0)A/(i_1!...i_n!), (1) where A=[R^((i_1,...,i_n))(D_1,...,D_n)Q(x_1,...,x_n) ...

A subset X subset Y is said to be bicollared in Y if there exists an embedding b:X×[-1,1]->Y such that b(x,0)=x when x in X. The map b or its image is then said to be the ...

Given the functional (1) find in a class of arcs satisfying p differential and q finite equations phi_alpha(y_1,...,y_n;y_1^',...,y_n^')=0 for alpha=1,...,p ...

The series producing Brun's constant converges even if there are an infinite number of twin primes, first proved by Brun (1919).