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• W2531491454 abstract "Determining whether a Diophantine equation has a solution or not is the most important challenge in solving this type of problems. In this paper a special computational device which uses light rays is proposed to answer this question, namely check the existence of nonnegative solutions for linear Diophantine equations. The way of representation for this device is similar to an directed graph, having a number of nodes equal to the number of variables of the equation plus the destination node. The arcs connecting these nodes have assigned a number (length) which corresponds to coefficients of the equation or it is a predefined constant. The light traversing the device follows all possible routes. In each arc it will be delayed by an amount of time indicated by the length of that arc. At the destination node, if a light ray arrives at the moment equal to the free term of the equation plus some constants we may infer that the equation has solution, otherwise it has not." @default.
• W2531491454 created "2016-10-21" @default.
• W2531491454 creator A5031926280 @default.
• W2531491454 creator A5053494204 @default.
• W2531491454 date "2009-01-01" @default.
• W2531491454 modified "2023-09-26" @default.
• W2531491454 title "Optical solutions for linear Diophantine equations" @default.
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• W2531491454 hasPublicationYear "2009" @default.
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