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Given a geometric sequence {a_1,a_1r,a_1r^2,...}, the number r is called the common ratio associated to the sequence.

Let suma_k and sumb_k be a series with positive terms and suppose a_1<=b_1, a_2<=b_2, .... 1. If the bigger series converges, then the smaller series also converges. 2. If ...

Let L be a link in R^3 and let there be a disk D in the link complement R^3-L. Then a surface F such that D intersects F exactly in its boundary and its boundary does not ...

The formal term in propositional calculus for the connective implies.

The mathematical study of how to manipulate the parameters affecting the behavior of a system to produce the desired or optimal outcome.

A sphere with four punctures occurring where a knot passes through the surface.

Maximize the number of cookies you can cut from a given expanse of dough (Hoffman 1998, p. 173).

The numbers lambda_(nun) in the Gaussian quadrature formula Q_n(f)=sum_(nu=1)^nlambda_(nun)f(x_(nun)).

A fractal curve of infinite length which bounds an area twice that of the original square.

The cycloid is the locus of a point on the rim of a circle of radius a rolling along a straight line. It was studied and named by Galileo in 1599. Galileo attempted to find ...