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A simple pole of an analytic function f is a pole of order one. That is, (z-z_0)f(z) is an analytic function at the pole z=z_0. Alternatively, its principal part is c/(z-z_0) ...

A set having exactly one element a. A singleton set is denoted by {a} and is the simplest example of a nonempty set.

The small world problem asks for the probability that two people picked at random have at least one acquaintance in common.

A smooth curve is a curve which is a smooth function, where the word "curve" is interpreted in the analytic geometry context. In particular, a smooth curve is a continuous ...

Socrates is reported to have stated: "One thing I know is that I know nothing."

A nickname for the one-sheeted hyperboloid due to Samuel (1988, p. 95).

A point which does not lie on at least one ordinary line.

The placement of n points on a sphere so as to minimize the maximum distance of any point on the sphere from the closest one of the n points.

A spigot algorithm is an algorithm which generates digits of a quantity one at a time without using or requiring previously computed digits. Amazingly, spigot algorithms are ...

A link L is said to be splittable if a plane can be embedded in R^3 such that the plane separates one or more components of L from other components of L and the plane is ...