Results 31 to 40 of about 4,979,723 (296)
A forbidden set for embedded eigenvalues [PDF]
We study the problem of embedding eigenvalues to the spectrum of a Sturm-Liouville operator in the half axis when this spectrum is a perfect set. We prove the existence of an uncountable dense subset of the spectrum for which, by modifying the condition at the left or by locally perturbing the potential, it is not possible to add any eigenvalues.
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Global Behavior of Two Rational Third Order Difference Equations
In this paper, we solve and study the global behavior of all admissible solutions of the two difference equations $$x_{n+1}=\frac{x_{n}x_{n-2}}{x_{n-1}-x_{n-2}}, \quad n=0,1,...,$$ and $$x_{n+1}=\frac{x_{n}x_{n-2}}{-x_{n-1}+x_{n-2}}, \quad n=0,1 ...
R. Abo-zeid, H. Kamal
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Set families with forbidden subposets
16 pages, 1 ...
Linyuan Lu, Kevin G. Milans
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Nodal Sets of Schrödinger Eigenfunctions in Forbidden Regions [PDF]
This note concerns the nodal sets of eigenfunctions of semiclassical Schrödinger operators acting on compact, smooth, Riemannian manifolds, with no boundary. We prove that if H is a separating hypersurface that lies inside the classically forbidden region, then H cannot persist as a component of the zero set of infinitely many eigenfunctions.
Canzani, Yaiza, Toth, John A.
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Constructing strings avoiding forbidden substrings [PDF]
We consider the problem of constructing strings over an alphabet Σ that start with a given prefix u, end with a given suffix v, and avoid occurrences of a given set of forbidden substrings.
Sweering, Michelle +6 more
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Behavior of solutions of a second order rational difference equation [PDF]
In this paper, we solve the difference equation xn+1 = α xnxn-1 - 1 , n = 0, 1, . . . , where α > 0 and the initial values x-1, x0 are real numbers. We find some invariant sets and discuss the global behavior of the solutions of that equation.
Abo-Zeid Raafat
doaj
Extending the MAX Algorithm for Maximum Independent Set
The maximum independent set problem is an NP-hard problem. In this paper, we consider Algorithm MAX, which is a polynomial time algorithm for finding a maximal independent set in a graph G.
Lê Ngoc C. +2 more
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On the solutions of a second order difference equation [PDF]
In this paper, we discuss the global behavior of all solutions of the difference equation Xn+1 = XnXn-1 axn + bxn-1, n € N0, where a; b are real numbers and the initial conditions X-1, X0 are real numbers.
Abo-Zeid R.
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Permitted and Forbidden Sets in Symmetric Threshold-Linear Networks [PDF]
The richness and complexity of recurrent cortical circuits is an inexhaustible source of inspiration for thinking about high-level biological computation. In past theoretical studies, constraints on the synaptic connection patterns of threshold-linear networks were found that guaranteed bounded network dynamics, convergence to attractive fixed points,
Richard H. R. Hahnloser +2 more
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“rsppfp”: An R package for the shortest path problem with forbidden paths
The Shortest Path Problem with Forbidden Paths (SPPFP) is a variant of the original shortest path problem, where the constraints come from a set of forbidden arc sequences that cannot be part of any feasible solution.
Melina Vidoni, Aldo Vecchietti
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