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The Gifted Education Programme ( GEP) is an academic programme in Singapore, initially designed to identify the top 0.25% (later expanded to 0.5%, then 1%) of students from each academic year with outstanding intelligence. The tests are based on verbal, mathematical and spatial abilities (as determined by two rounds of tests ).
Hilbert's seventeenth problem. Hilbert's seventeenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It concerns the expression of positive definite rational functions as sums of quotients of squares. The original question may be reformulated as:
Barycentric-sum problem. Combinatorial number theory deals with number theoretic problems which involve combinatorial ideas in their formulations or solutions. Paul Erdős is the main founder of this branch of number theory. Typical topics include covering system, zero-sum problems, various restricted sumsets, and arithmetic progressions in a ...
Mary Winston Jackson (1921–2005), degree from Hampton Institute. Eleanor Green Dawley Jones (1929-2021), degrees from Howard University, Syracuse University (PhD). Abdulalim A. Shabazz (1927–2014), degrees from Lincoln University (Pennsylvania), Massachusetts Institute of Technology (MIT), Cornell University (PhD).
Minkowski problem for polytopes. In the geometry of convex polytopes, the Minkowski problem for polytopes concerns the specification of the shape of a polytope by the directions and measures of its facets. [1] The theorem that every polytope is uniquely determined up to translation by this information was proven by Hermann Minkowski; it has ...
Zero-sum problem. In number theory, zero-sum problems are certain kinds of combinatorial problems about the structure of a finite abelian group. Concretely, given a finite abelian group G and a positive integer n, one asks for the smallest value of k such that every sequence of elements of G of size k contains n terms that sum to 0 .
In arithmetic combinatorics, the Erdős–Szemerédi theorem states that for every finite set of integers, at least one of , the set of pairwise sums or , the set of pairwise products form a significantly larger set. More precisely, the Erdős–Szemerédi theorem states that there exist positive constants c and such that for any non-empty set.
With only 2 pence and 5 pence coins, one cannot make 3 pence, but one can make any higher integer amount. In mathematics, the coin problem (also referred to as the Frobenius coin problem or Frobenius problem, after the mathematician Ferdinand Frobenius) is a mathematical problem that asks for the largest monetary amount that cannot be obtained ...