Diophantine equation


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Diophantine equation

n.
An algebraic equation with two or more variables whose coefficients are integers, studied to determine all integral solutions.

[After Diophantus, third-century ad Greek mathematician.]

Diophantine equation

(ˌdaɪəʊˈfæntaɪn)
n
(Mathematics) (in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought
[C18: after Diophantus, Greek mathematician of the 3rd century ad]
References in periodicals archive ?
In this article, we consider the general Diophantine equation [x.
PS] ring is formulated through a Diophantine equation and the pole is analytically tuned according to aperiodic response of the closed loop.
Mollin considered the problem of giving necessary and sufficient conditions for the solvability of the Diophantine equation [x.
A set of stabilizing controllers are given by a solution of Diophantine equation in this ring.
s} and q(s) are computed from a Diophantine equation (Kucera 1993):
We find that a geometrical problem leads to the Diophantine equation 4[p.
Then, the controller parameters are derived from general solution of Diophantine equation.
Keywords Diophantine equation, positive integer solutions, elementary method.
The system design approach utilizing the Diophantine equation is not a state-variable system design technique.
0]) is a solution of the Diophantine equation, then any solution is of the form
A suitable controller which ensures stabilization of the control circuit and reference tracking can be obtained via solution of Diophantine equation (Kucera, 1993):
The consecutive controller design was performed through the solution of Diophantine equation.