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An interval is a connected portion of the real line. If the endpoints a and b are finite and are included, the interval is called closed and is denoted [a,b]. If the ...

The word polytope is used to mean a number of related, but slightly different mathematical objects. A convex polytope may be defined as the convex hull of a finite set of ...

A projective plane, sometimes called a twisted sphere (Henle 1994, p. 110), is a surface without boundary derived from a usual plane by addition of a line at infinity. Just ...

Jung's theorem states that the generalized diameter D of a compact set X in R^n satisfies D>=Rsqrt((2(n+1))/n), where R is the circumradius of X (Danzer et al. 1963). This ...

In homogeneous coordinates, the first positive quadrant joins (0,1) with (1,0) by "points" (f_1,f_2), and is mapped onto the hyperbolic line -infty<u<+infty by the ...

A group in which any decreasing chain of distinct subgroups terminates after a finite number.

The group of classes of finite dimensional central simple algebras over k with respect to a certain equivalence.

A variable which belongs to exactly one of a finite number of categories.

The difference of two numbers n_1 and n_2 is n_1-n_2, where the minus sign denotes subtraction.

A tree spread in which each node has a finite number of children.