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Suppose that V={(x_1,x_2,x_3)} and W={(x_1,0,0)}. Then the quotient space V/W (read as "V mod W") is isomorphic to {(x_2,x_3)}=R^2. In general, when W is a subspace of a ...

R^- denotes the real negative numbers.

The notation R^_ denotes the set of affinely extended real numbers.

Let R be a commutative ring. A category C is called an R-category if the Hom-sets of C are R-modules.

A robust estimation based on a rank test.

A module taking its coefficients in a ring R is called a module over R or R-module.

R^+ denotes the real positive numbers.

The set of projective projectively extended real numbers. Unfortunately, the notation is not standardized, so the set of affinely extended real numbers, denoted here R^_, is ...

The doublestruck letter R denotes the field of real numbers.

A RAT-free ("right angle triangle-free") set is a set of points, no three of which determine a right triangle. Let f(n) be the largest integer such that a RAT-free subset of ...