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The imaginary number i=sqrt(-1), i.e., the square root of -1. The imaginary unit is denoted and commonly referred to as "i." Although there are two possible square roots of ...

Given a geodesic triangle (a triangle formed by the arcs of three geodesics on a smooth surface), int_(ABC)Kda=A+B+C-pi. Given the Euler characteristic chi, intintKda=2pichi, ...

A transformation of an algebraic curve which is of the same type as its inverse. A Jonquière's transformation is always factorable.

The identity (xy)x^2=x(yx^2) satisfied by elements x and y in a Jordan algebra.

The manipulation of Dehn surgery descriptions by a certain set of operations.

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

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

Let t(m) denote the set of the phi(m) numbers less than and relatively prime to m, where phi(n) is the totient function. Then if S_m=sum_(t(m))1/t, (1) then {S_m=0 (mod m^2) ...

A space X is locally pathwise-connected if for every neighborhood around every point in X, there is a smaller, pathwise-connected neighborhood.

A triangular matrix L of the form L_(ij)={a_(ij) for i>=j; 0 for i<j. (1) Written explicitly, L=[a_(11) 0 ... 0; a_(21) a_(22) ... 0; | | ... 0; a_(n1) a_(n2) ... a_(nn)]. ...