Results 211 to 220 of about 3,148,152 (262)

Knee injury prevention via personalized exercise using EDAS method and Sugeno Weber operator under complex q rung orthopair fuzzy data. [PDF]

Sci Rep
Zhang S, Sima C, Hou T.
europepmc   +1 more source

Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations.

, 2014
Sijun Liu
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On the Diophantine equations of the form x^2-kxy+y^2+kx=0 and x^2-kxy+y^2+2kx=0.

Supawadee Prugsapitak, Nattaporn Thongngam   +1 more
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A Note on the Exponential Diophantine Equation 8^x + 161^y = z^2

Chatchawan Panraksa
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Manipulating the Generation of Photonic Moiré Lattices Using Plasmonic Metasurfaces. [PDF]

Nanomaterials (Basel)
Mu Z, Zhang Y, An J, Zhang X, Zhou H, Song H, He C, Liu G, Cheng C.   +8 more
europepmc   +1 more source

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Combinatorial Diophantine equations

Publicationes Mathematicae Debrecen, 2000
For a positive integer \(k\) let \(P_k(x)=x(x+1)\ldots (x+k-1)\) and \(S_k(x)=1^k+2^k+\ldots +x^k\). In the paper the following Diophantine equations are solved (or resolved): \(P_6(x)=P_4(y)\), \(P_6(x)={y\choose 2}\), \(P_6(x)={y\choose 4}\), \({x\choose 3}=P_2(y)\), \({x\choose 3}=P_4(y)\), \({x\choose 6}=P_2(y)\), \({x\choose 6}=P_4(y)\), \({x ...
Hajdu, L., Pintér, Á.
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A NOTE ON THE DIOPHANTINE EQUATION $x^{2}+(2c-1)^{m}=c^{n}$

Bulletin of the Australian Mathematical Society, 2018
Let $c\geq 2$ be a positive integer. Terai [‘A note on the Diophantine equation $x^{2}+q^{m}=c^{n}$ ’, Bull. Aust. Math. Soc. 90 (2014), 20–27] conjectured that the exponential Diophantine equation $x^{2}+(2c-1)^{m}=c^{n}$ has only the positive integer ...
MOU-JIE Deng, J. Guo, Aidong Xu
semanticscholar   +1 more source

A mathematical model of the cryptosystem based on the linear Diophantine equation

International Conference on Security of Information and Networks, 2018
We present the mathematical model of Information security system based on the linear inhomogeneous Diophantine equation. Plain text is the solution of the Diophantine equation, cipher text is the right side of equation.
V. Osipyan, K. I. Litvinov
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OntheExponential Diophantine Equation

Journal of Advanced Research in Applied Mathematics and Statistics
. Suppose that n is a positive integer. We show that the only positive integer solutions ( n, x, y, z ) of the exponential Diophantine equation ( n x y , n xyz are (3 , 2 , 1 , 2) , (3 , 1 , 2 , 3) .
Dinesh Thakur
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Quadratic diophantine equations

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1960
Tartakowsky (1929) proved that a positive definite quadratic form, with integral coefficients, in 5 or more variables represents all but at most finitely many of the positive integers not excluded by congruence considerations. Tartakowsky’s argument does not lead to any estimate for a positive integer which, though not so excluded, is not represented ...
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