Mathematics in Computer Science
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Bounds on the Dimension of Trivariate Spline Spaces: A Homological Approach
Mathematics in Computer Science - Tập 8 - Trang 157-174 - 2014
We consider the vector space of globally differentiable piecewise polynomial functions defined on a three-dimensional polyhedral domain partitioned into tetrahedra. We prove new lower and upper bounds on the dimension of this space by applying homological techniques. We give an insight of different ways of approaching this problem by exploring its connections with the Hilbert series of ideals gene...... hiện toàn bộ
Algorithmic Approach for Formal Fourier Series
Mathematics in Computer Science - Tập 9 Số 3 - Trang 365-389 - 2015
Computational Simulation of the Thermal Effects on Composite Slabs Under Fire Conditions
Mathematics in Computer Science - - 2021
On the Usage of Different Coordinate Systems for 3D Plots of Functions of Two Real Variables
Mathematics in Computer Science - Tập 13 - Trang 311-327 - 2018
Students learning towards a degree in a STEM related domain learn quite early a course in Advanced Calculus, i.e. a course where the main object of study are multivariate functions. It happens that students do not see the connection between the properties of the function such as continuity or differentiability and the 3-dimensional graphical representation. In particular, difficulties appear in cl...... hiện toàn bộ
Self-Dual Codes Over Chain Rings
Mathematics in Computer Science - Tập 14 - Trang 443-456 - 2019
In this paper, we study self-dual codes over commutative Artinian chain rings. Let R be such a ring, x be a generator of the unique maximal ideal of R and $$a\in {\mathbb {N}}_0 $$ maximal such that $$x^a\ne 0$$. A code C over R of length t is an R-submodule of the free module $$R^t$$. Multiplying powers of x to C defines the finite chain of subcodes $$\begin{aligned} C \supseteq C^{(1)} := C x \s...... hiện toàn bộ
Three-Dimensional Computational Analysis of Stress State Transition in Through-Cracked Plates
Mathematics in Computer Science - Tập 10 - Trang 343-352 - 2016
Stress state is a main parameter within fracture mechanics. It has a major influence on different phenomena, namely those involving diffusion, plastic deformation, and brittle fracture. As is well-known, in the near-surface regions of a crack front, the plane stress state dominates, while at interior positions the plane strain state prevails. The main objective here is to examine the extent of sur...... hiện toàn bộ
Engineering a Lightweight External Memory Suffix Array Construction Algorithm
Mathematics in Computer Science - Tập 11 - Trang 137-149 - 2017
We describe an external memory suffix array construction algorithm based on constructing suffix arrays for blocks of text and merging them into the full suffix array. The basic idea goes back over 20 years and there has been a couple of later improvements, but we describe several further improvements that make the algorithm much faster. In particular, we reduce the I/O volume of the algorithm by a...... hiện toàn bộ
Non Parametric Distributed Inference in Sensor Networks Using Box Particles Messages
Mathematics in Computer Science - Tập 8 - Trang 455-478 - 2014
This paper deals with the problem of inference in distributed systems where the probability model is stored in a distributed fashion. Graphical models provide powerful tools for modeling this kind of problems. Inspired by the box particle filter which combines interval analysis with particle filtering to solve temporal inference problems, this paper introduces a belief propagation-like message-pas...... hiện toàn bộ
Constructions of Abelian Codes Multiplying Dimension of Cyclic Codes
Mathematics in Computer Science - Tập 14 - Trang 415-421 - 2019
In this note, we apply some techniques developed in Bernal et al. (IEEE Trans Inf Theory 62(2):655–668, 2016; Adv Math Commun 10:459–474, 2016; IEEE Trans Inf Theory 2018. https://doi.org/10.1109/TIT.2018.2868446...... hiện toàn bộ
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