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A moment sequence is a sequence {mu_n}_(n=0)^infty defined for n=0, 1, ... by mu_n=int_0^1t^ndalpha(t), where alpha(t) is a function of bounded variation in the interval ...

alpha^((m))=1/2gamma_1=(mu_3)/(2sigma^3), where gamma_1 is the skewness.

A polynomial x^n+a_(n-1)x^(n-1)+...+a_1x+a_0 in which the coefficient of the highest order term is 1.

A general concept in category theory involving the globalization of local morphisms.

If {f_n} is a sequence of measurable functions, with 0<=f_n<=f_(n+1) for every n, then intlim_(n->infty)f_ndmu=lim_(n->infty)intf_ndmu.

Always increasing; never remaining constant or decreasing. Also called strictly increasing.

A sequence {a_n} such that either (1) a_(i+1)>=a_i for every i>=1, or (2) a_(i+1)<=a_i for every i>=1.

A term in social choice theory meaning a change favorable for X does not hurt X.

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

Moving medians are implemented in the Wolfram Language as MovingMedian[data, n].