Search Results for ""

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

Topological lower bounds in terms of Betti numbers for the number of critical points form a smooth function on a smooth manifold.

A strong inequality in which a is not only less than b, but much less (by some convention) is denoted a<<b.

A mathematical object S is said to be multiplicatively closed if a,b in S implies that ab in S.

The symbol p^e∥n means, for p a prime, that p^e|n, but p^(e+1)n.

A reflexive relation.

Euclidean n-space is denoted R^n.

The robustness of a given outcome to small changes in initial conditions or small random fluctuations. Chaos is an example of a process which is not stable.

The hypersine (n-dimensional sine function) is a function of a vertex angle of an n-dimensional parallelotope or simplex. If the content of the parallelotope is P and the ...

A series of the form sum_(n=0)^inftya_nJ_(nu+n)(z), (1) where nu is a real and J_(nu+n)(z) is a Bessel function of the first kind. Special cases are ...