Results 141 to 150 of about 2,483 (259)
Alzheimers disease is an unpredictable and progressive neurodegenerative disorder that initially affects memory thinking and behavior. Some key features of Alzheimers disease are memory loss, cognitive decline, behavioral changes, disorientation ...
Zeeshan Ali
doaj
From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges, Discrete Analysis 2017:10, 25 pp. A basic fact in the theory of Diophantine approximation is Dirichlet's theorem that for every real number ...
Michael Boshernitzan, Vincent Delecroix
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New Hardness Results for Diophantine Approximation [PDF]
We revisit simultaneous diophantine approximation, a classical problem from the geometry of numbers which has many applications in algorithms and complexity. The input of the decision version of this problem consists of a rational vector \alpha, an error
Rothvoß, Thomas, Eisenbrand, Friedrich
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Successful cryptanalysis on RSA type modulus N=p2q
As internet technology advances and our interactions increasingly take place online, cryptography emerges as a valuable tool to address security concerns. Cryptography serves as a means to guarantee the protection of privacy and confidential information,
Normahirah Nek Abd Rahman
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Dynamical Systems and Diophantine Approximation
On the 7th, 8th and 9th June 2004 has been held at the Institut Henri Poincaré a conference on ''Dynamical systems and Diophantine approximation''. One of the aims of this conference was to give a survey of research tools at the interface between these ...
Dal'Bo-Milonet, Françoise +2 more
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Diophantine Approximation on a Circle
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dirichlet, is that of approximating real numbers by rationals with controlled denominators.
Fukshansky, Lenny
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Inhomogeneous Diophantine Approximation
Diophantine approximation is a topic of number theory concerned with rational approximations of real, typically irrational, numbers. In other words, we seek q∈Z for a given α∈R such that ||qα|| (the distance from qα to the nearest integer) is small. This
King, Brian., King, Brian
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Planar Fourier transforms and Diophantine approximation
The radial behavior of its Fourier-Stieltjes transform in R 2 {R^2} is related to the modulus of continuity of a measure; in certain cases the Hausdorff dimension of an exceptional set of lines can be
R. Kaufman
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Inhomogeneous Diophantine approximation over the field of formal Laurent series
De Mathan [B. de Mathan, Approximations diophantiennes dans un corps local, Bull. Soc. Math. France, Suppl. Mém. 21 (1970)] proved that Khintchine's theorem on homogeneous Diophantine approximation has an analogue in the field of formal Laurent series ...
Ma, Chao, Su, Wei-Yi
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Classical metric diophantine approximation revisited. [PDF]
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century.
Dodson, M. +3 more
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