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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.

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.

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

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

n events are said to be mutually exclusive if the occurrence of any one of them precludes any of the others. Therefore, for events X_1, ..., X_n, the conditional probability ...

The Greek word for 10000.

A 10000-sided polygon.

One of the two pieces of a double cone (i.e., two cones placed apex to apex).