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The Monte Carlo Method : An Alternative Method Of Numerical Integration, Karen A. Haas
The Monte Carlo Method : An Alternative Method Of Numerical Integration, Karen A. Haas
Honors Capstones
In the world of mathematics, one of the more fundamental ideas that exists is the idea of a function, mathematically described as a correspondence that associates with each element x, of a set S, a unique element y, of a set Y. This concept is basic to many of the applications of higher mathematics, as are the concepts of integrating a function and differentiating a function. It is the former concept which shall be dealt with here.
Networks And Graphs, Brenda K. Tsao
Networks And Graphs, Brenda K. Tsao
Honors Capstones
Graph theory is a part of mathematics that has many practical applications. The study of graph theory began in 1736 with Leonard Euler’s work on the Konigsberg bridge problem. Konigsberg was a city built on a river with two islands and seven bridges. The question was posed as to whether you could start anywhere, cross each bridge exactly once, and end up at the starting point. Other problems that arise include scheduling routes for transportation systems that meet certain requirements such as distance, time, places stopped, and profits; and choosing the best times for replacement of equipment and the best …
The Assignment Problem, Diane Ferrara
The Assignment Problem, Diane Ferrara
Honors Capstones
In everyday life, and especially in business, situations arise which involve trying to gain the maximum profit for work, or trying to minimize loss. If each of us would investigate linear programming procedures, we could solve some of these everyday problems very quickly and efficiently. Linear programming procedures provide for solving realistic problems of everyday life. Specifically, the assignment problem can be used to delegate tasks to specific jobs in the best possible manner so as to obtain maximum feedback. There exist many methods and variations to the assignment problem and many applications of these methods.