CONVERTING AN INCONSISTENT LINEAR DIOPHANTINE SYSTEM TO CONSISTENT LINEAR DIOPHANTINE SYSTEM

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ESMAEILI H.

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Journal: Journal of Applied Biology Year:2005 | Volume:17 | Issue:2 Page(s): 55-59

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Title

CONVERTING AN INCONSISTENT LINEAR DIOPHANTINE SYSTEM TO CONSISTENT LINEAR DIOPHANTINE SYSTEM

Author(s)

ESMAEILI H. | Issue Writer Certificate

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Abstract

Our mines of solving in linear Diophantine system is determine consistency or inconsistency of the system. In the case of consistency, the system has one or infinitely number of solutions. On the other hand, inconsistency is shown the right hand side vector is not belonging to the integer range space of the coefficient matrix and so, the system has no solution. In this paper, we provide a method to solving a linear Diophantinc system such that it is necessary once computing the greatest common divisor of some integer numbers. Upon this method, we show constructively that if the system be inconsistent then we can multiple the right hand side vector to an integer number such that the new Diophantine system will be consistent.

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APA: Copy

ESMAEILI, H.. (2005). CONVERTING AN INCONSISTENT LINEAR DIOPHANTINE SYSTEM TO CONSISTENT LINEAR DIOPHANTINE SYSTEM. JOURNAL OF APPLIED BIOLOGY (JOURNAL OF SCIENCE), 17(2), 55-59. SID. https://sid.ir/paper/22686/en

Vancouver: Copy

ESMAEILI H.. CONVERTING AN INCONSISTENT LINEAR DIOPHANTINE SYSTEM TO CONSISTENT LINEAR DIOPHANTINE SYSTEM. JOURNAL OF APPLIED BIOLOGY (JOURNAL OF SCIENCE)[Internet]. 2005;17(2):55-59. Available from: https://sid.ir/paper/22686/en

IEEE: Copy

H. ESMAEILI, “CONVERTING AN INCONSISTENT LINEAR DIOPHANTINE SYSTEM TO CONSISTENT LINEAR DIOPHANTINE SYSTEM,” JOURNAL OF APPLIED BIOLOGY (JOURNAL OF SCIENCE), vol. 17, no. 2, pp. 55–59, 2005, [Online]. Available: https://sid.ir/paper/22686/en

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