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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].

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

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

If one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in mn ways.

A group whose group operation is identified with multiplication. As with normal multiplication, the multiplication operation on group elements is either denoted by a raised ...

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