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An Improved Approximation for Packing Big Two-Bar Charts
We consider the two-bar charts packing problem which is a generalization of the strongly NP-hard bin packing problem and 2-D vector packing problem....
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On Bar-Natan–van der Veen’s perturbed Gaussians
We elucidate further properties of the novel family of polynomial time knot polynomials devised by Bar-Natan and van der Veen based on the Gaussian...
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A 4/3 OPT+2/3 Approximation for Big Two-Bar Charts Packing Problem
We consider the two-bar charts packing problem generalizing the strongly NP-hard bin packing problem. We prove that the problem remains strongly...
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Three-Bar Charts Packing Problem
Three-Bar Charts Packing Problem is to pack the bar charts consisting of three bars each into the horizontal unit-height strip of minimal length. The... -
De Grey’s Construction
I am presenting a slightly edited Aubrey de Grey’s crisp and clear description of his construction [G1], translated from the British to the American... -
Applications of Bar Code to Involutive Divisions and a “Greedy” Algorithm for Complete Sets
Given a finite set of terms U in n variables, we describe an algorithm which finds – if it exists – an ordering on the variables such that U is a...
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A Sheaf-Theoretic Construction of Shape Space
We present a sheaf-theoretic construction of shape space—the space of all shapes. We do this by describing a homotopy sheaf on the poset category of...
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Certain Contributions to the \(\bar {\partial }\) -Problem
The main goal of this survey article is to recall my certain contributions to the... -
On Fixed Points of Continuous Map**s Associated with Construction of Artificial Neural Networks
AbstractA general topological approach is proposed for the construction of converging artificial neural networks (ANN) by applying decision-making...
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Evolution of the Wave Pattern for Piecewise Linear Uniaxial Tension and Compression of a Heteromodular Elastic Bar
AbstractThe process of changing the wave pattern in the problem of nonstationary deformation of a heteromodular elastic bar under uniaxial piecewise...
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A Construction of Pseudo-reductive Groups with Non-reduced Root Systems
We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type
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Finite Difference Methods: Construction and Implementation
In this chapter, we discuss a class of time-step** schemes of finite difference type, whose construction is based on polynomial interpolation: we... -
Predual space and Calderón construction for grand weighted Morrey spaces, and some applications
We investigate duality and interpolation problems in two-weighted grand Morrey spaces. In particular, we discuss the predual space and Calderón...
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Homotopy and Hom Construction in the Category of Finite Hypergraphs
We define notions of a weak homotopy for finite hypergraphs and an exponential hypergraph with a right adjoint to the categorical product of finite...
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Construction of Smooth Conjugacies
This chapter uses the machinery developed in the former chapters, together with a few other elements, to linearize via a smooth map any sufficiently... -
Asymptotic Construction of the Optimal Degeneration for a Fano Manifold
Optimal degeneration is the algebraic counterpart of the prescribed geometric flow. We review some construction of the degeneration via the... -
Closed Map**s and Construction of Extension Models
The problem of reachability in a topological space is studied under constraints of asymptotic nature arising from weakening the requirement that the...
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On fluidity of the textual transmission in Abraham bar Hiyya’s Ḥibbur ha-Meshiḥah ve-ha-Tishboret
We examine one of the well-known mathematical works of Abraham bar Ḥiyya: Ḥibbur ha-Meshiḥah ve-ha-Tishboret , written between 1116 and 1145, which is...
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A geometric construction of isospectral magnetic graphs
We present a geometrical construction of families of finite isospectral graphs labelled by different partitions of a natural number r of given length s ...