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In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete.In his 1972 paper, "Reducibility Among Combinatorial Problems", [1] Richard Karp used Stephen Cook's 1971 theorem that the boolean satisfiability problem is NP-complete [2] (also called the Cook-Levin theorem) to show that there is a polynomial time many-one reduction ...
The quantity theory of money (often abbreviated QTM) is a hypothesis within monetary economics which states that the general price level of goods and services is directly proportional to the amount of money in circulation (i.e., the money supply ), and that the causality runs from money to prices. This implies that the theory potentially ...
The exact meaning of Keynes's work has been long debated. Even the interpretation of Keynes's policy prescription for unemployment, one of the more explicit parts of General Theory, has been the subject of debates. Economists and scholars debate whether Keynes intended his advice to be a major policy shift to address a serious problem or a ...
Millennium Prize Problems. The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial differential equations that describe the motion of a fluid in space. Solutions to the Navier–Stokes equations are used in many practical applications.
62532514. The General Theory of Employment, Interest and Money is a book by English economist John Maynard Keynes published in February 1936. It caused a profound shift in economic thought, [ 1] giving macroeconomics a central place in economic theory and contributing much of its terminology [ 2] – the "Keynesian Revolution".
The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [ 3]: ND22, ND23. Vehicle routing problem.
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics ). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones.
Whether viewed as an exact cover problem or an exact hitting set problem, the matrix representation is the same, having 1568 rows corresponding to choices and 72 columns corresponding to constraints. Each row contains a single 1 in the column identifying the pentomino and five 1s in the columns identifying the squares covered by the pentomino.