Search results
Results from the WOW.Com Content Network
Any linear-fractional program can be transformed into a linear program, assuming that the feasible region is non-empty and bounded, using the Charnes-Cooper transformation. [1] The main idea is to introduce a new non-negative variable t {\displaystyle t} to the program which will be used to rescale the constants involved in the program ( α ...
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science.Informally, a quantified statement "such that …" can be viewed as a question "When is there an such that …?", and the statement without quantifiers can be viewed as the answer to that question.
Each logic operator can be used in an assertion about variables and operations, showing a basic rule of inference. Examples: The column-14 operator (OR), shows Addition rule: when p=T (the hypothesis selects the first two lines of the table), we see (at column-14) that p∨q=T.
S. Barry Cooper (9 October 1943 – 26 October 2015) was an English mathematician and computability theorist. He was a professor of pure mathematics at the University of Leeds . Early life and education
The rational consequence relation is non-monotonic, and the relation is intended to carry the meaning theta usually implies phi or phi usually follows from theta.In this sense it is more useful for modeling some everyday situations than a monotone consequence relation because the latter relation models facts in a more strict boolean fashion—something either follows under all circumstances or ...
As of July 2019, he is the chair of the Department of Computational and Applied Mathematics. His primary research area has been program analysis and optimization. He was one of the founding members of the compiler group at Rice. He and Linda Torczon co-authored the book Engineering a Compiler. Cooper earned all his degrees at Rice.
Gödel's proofs show that the set of logical consequences of an effective first-order theory is a computably enumerable set, and that if the theory is strong enough this set will be uncomputable. Similarly, Tarski's indefinability theorem can be interpreted both in terms of definability and in terms of computability.
Another use of game theory in managerial economics is in analyzing pricing strategies. For example, firms may use game theory to determine the optimal pricing strategy based on how they expect their competitors to respond to their pricing decisions. Overall, game theory serves as a useful tool for analyzing strategic interactions and decision ...