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The Art of Computer Programming ( TAOCP) is a comprehensive monograph written by the computer scientist Donald Knuth presenting programming algorithms and their analysis. Volumes 1–5 are intended to represent the central core of computer programming for sequential machines. When Knuth began the project in 1962, he originally conceived of it ...
Solution set. In mathematics, a solution set is the set of values that satisfy a given set of equations or inequalities . For example, for a set of polynomials over a ring , the solution set is the subset of on which the polynomials all vanish (evaluate to 0), formally. The feasible region of a constrained optimization ...
Codeforces ( Russian: Кодефорсес) is a website that hosts competitive programming contests. [ 1] It is maintained by a group of competitive programmers from ITMO University led by Mikhail Mirzayanov. [ 2] Since 2013, Codeforces claims to surpass Topcoder in terms of active contestants. [ 3] As of 2019, it has over 600,000 registered ...
Overdetermined system. In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns. [1] [citation needed] An overdetermined system is almost always inconsistent (it has no solution) when constructed with random coefficients. However, an overdetermined system will have solutions in some cases, for ...
Yellow Labrador Service Dog Can Barely Contain Her Excitement on Playdate with Other Pups. There's no doubt how valuable service dogs are to the owners who rely on them. They show their furry ...
Feasible region. A problem with five linear constraints (in blue, including the non-negativity constraints). In the absence of integer constraints the feasible set is the entire region bounded by blue, but with integer constraints it is the set of red dots. A closed feasible region of a linear programming problem with three variables is a ...
If such a point x* exists, it is referred to as an optimal point or solution; the set of all optimal points is called the optimal set; and the problem is called solvable. If f {\displaystyle f} is unbounded below over C {\displaystyle C} , or the infimum is not attained, then the optimization problem is said to be unbounded .
In number theory and computer science, the partition problem, or number partitioning, [1] is the task of deciding whether a given multiset S of positive integers can be partitioned into two subsets S1 and S2 such that the sum of the numbers in S1 equals the sum of the numbers in S2. Although the partition problem is NP-complete, there is a ...