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An integral which has neither limit infinite and from which the integrand does not approach infinity at any point in the range of integration.

A superset which is not the entire set.

A very useful active feedback method for controlling things like temperature control systems, servo motors, and flow control valves.

A ruled semicircle used for measuring and drawing angles.

Find two distinct sets of integers {a_1,...,a_n} and {b_1,...,b_n}, such that for k=1, ..., m, sum_(i=1)^na_i^k=sum_(i=1)^nb_i^k. (1) The Prouhet-Tarry-Escott problem is ...

Combine the two above squares on the left into the single large square on the right.

A plane figure for which quadrature is possible is said to be quadrable.

If there is no integer 0<x<p such that x^2=q (mod p), i.e., if the congruence (35) has no solution, then q is said to be a quadratic nonresidue (mod p). If the congruence ...

((a+b)/2)^2-((a-b)/2)^2=ab.

A group G is quasi-unipotent if every element of G of order p is unipotent for all primes p such that G has p-group rank >=3.