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  1. 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....

    A. I. Erzin, V.V. Shenmaier in Journal of Mathematical Sciences
    Article 04 November 2022
  2. 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...

    Article 10 January 2024
  3. 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...

    A. I. Erzin, A. V Kononov, ... S. A. Nazarenko in Journal of Mathematical Sciences
    Article 01 February 2023
  4. 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...
    Adil Erzin, Konstantin Sharankhaev in Advances in Optimization and Applications
    Conference paper 2022
  5. 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...
    Chapter 2024
  6. 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...

    Article 29 November 2022
  7. An Ordered Tuple Construction of Geometric Algebras

    Timothy Myers in La Matematica
    Article 27 September 2023
  8. 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...

    Shreya Arya, Justin Curry, Sayan Mukherjee in Foundations of Computational Mathematics
    Article Open access 16 May 2024
  9. Certain Contributions to the \(\bar {\partial }\) -Problem

    The main goal of this survey article is to recall my certain contributions to the...
    Conference paper 2022
  10. On Fixed Points of Continuous Map**s Associated with Construction of Artificial Neural Networks

    Abstract

    A general topological approach is proposed for the construction of converging artificial neural networks (ANN) by applying decision-making...

    V. B. Betelin, V. A. Galkin in Doklady Mathematics
    Article 01 December 2022
  11. Evolution of the Wave Pattern for Piecewise Linear Uniaxial Tension and Compression of a Heteromodular Elastic Bar

    Abstract

    The process of changing the wave pattern in the problem of nonstationary deformation of a heteromodular elastic bar under uniaxial piecewise...

    O. V. Dudko, A. A. Lapteva, V. E. Ragozina in Journal of Applied and Industrial Mathematics
    Article 01 November 2022
  12. 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 ...

    Michael Bate, Gerhard Röhrle, ... David I. Stewart in Transformation Groups
    Article 24 February 2024
  13. 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...
    Chapter 2023
  14. 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...

    Alexander Meskhi, Humberto Rafeiro, Tsira Tsanava in Boletín de la Sociedad Matemática Mexicana
    Article 03 May 2024
  15. 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...

    Conglei Zhang, Yanying Wang, ... Wei Dai in Graphs and Combinatorics
    Article 30 June 2023
  16. 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...
    Luís Barreira, Claudia Valls in Spectra and Normal Forms
    Chapter 2024
  17. 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...
    Conference paper 2024
  18. 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...

    Article 01 December 2023
  19. 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...

    Michael Friedman, David Garber in Archive for History of Exact Sciences
    Article 20 October 2022
  20. 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 ...

    John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post in Analysis and Mathematical Physics
    Article Open access 05 July 2023
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