Definition of Semialgebraic. Meaning of Semialgebraic. Synonyms of Semialgebraic

- mathematics, a basic semialgebraic set is a set defined by polynomial equalities and polynomial inequalities, and a semialgebraic set is a finite union...
- geometry, a semialgebraic space is a space which is locally isomorphic to a semialgebraic set. Let U be an open subset of Rn for some n. A semialgebraic function...
- between semialgebraic sets are semialgebraic mappings, i.e., mappings whose graphs are semialgebraic sets. Nowadays the words 'semialgebraic geometry'...
- fundamental, and it is widely used in com****tional algebraic geometry. A semialgebraic set in Rn is a finite union of sets defined by a finite number of polynomial...
- In real algebraic geometry, a Nash function on an open semialgebraic subset U ⊂ Rn is an analytic function f: U → R satisfying a nontrivial polynomial...
- projection of a semialgebraic set is a semialgebraic set, and that there is an algorithm that, given a quantifier-free formula defining a semialgebraic set, produces...
- combinatorics and algebraic geometry used to represent algebraic (or semialgebraic) varieties as realization spaces of oriented matroids. Informally it...
- convex semialgebraic set in the plane can be written as a feasible region of a SOCP,. However, it is known that there exist convex semialgebraic sets of...
- "positive-locus-theorem") characterizes polynomials that are positive on a semialgebraic set, which is defined by systems of inequalities of polynomials with...
- spectrahedral shadows. Every spectrahedral shadow is a convex set that is also semialgebraic, but the converse (conjectured to be true until 2017) is false. An example...