Results 1 to 10 of about 220,380 (165)
Translative Packing of Unit Squares into Squares
International Journal of Mathematics and Mathematical Sciences, 2012 Every collection of n (arbitrary-oriented) unit squares admits a translative packing into any square of side length √2.5⋅𝑛.
Janusz Januszewski
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A polynomial algorithm for packing unit squares in a hypograph of a piecewise linear function
Open Engineering, 2017 We consider the problem of packing the maximal number of unit squares in a hypograph of a function. A polynomial time algorithm is described to solve this problem for a piecewise linear function.
Arslanov Marat +2 more
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Covering Segments with Unit Squares [PDF]
Lecture Notes in Computer Science, 2017 We study several variations of line segment covering problem with axis-parallel unit squares in $I\!\!R^2$. A set $S$ of $n$ line segments is given. The objective is to find the minimum number of axis-parallel unit squares which cover at least one end-point of each segment. The variations depend on the orientation and length of the input segments.
Ankush Acharyya +2 more
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Massively parallel least squares finite element method with graphic processing unit
Advances in Mechanical Engineering, 2017 For the reason of enormous computational expense, although the least squares finite element method has the advantages of high accuracy, robustness and strong versatility, the application of it is limited in computational fluid dynamics.
Qiliang Li +4 more
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Global unit squares and local unit squares
Journal of Number Theory, 2008 Let \(K\) be any Galois extension of \(\mathbb Q\), and \(U_K\) be the unit group of \(K\). For any place \(v\) of \(K\), let \(U_v\) be the group of local units of \(K_v\). Here the authors study the following problem: does there exist an odd prime \(p\) such that the map \(U_K/U_K^2\to \prod_{v\mid p} U_v/U_v^2\) is injective.
Xianke Zhang
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Efficient Packing of Unit Squares in a Square [PDF]
The Electronic Journal of Combinatorics, 2002 Let $s(N)$ denote the edge length of the smallest square in which one can pack $N$ unit squares. A duality method is introduced to prove that $s(6)=s(7)=3$. Let $n_r$ be the smallest integer $n$ such that $s(n^2+1)\le n+{1/r}$. We use an explicit construction to show that $n_r\le 27r^3/2+O(r^2)$, and also that $n_2\le43$.
Michael J. Kearney, Peter Shiu
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Statistical Features and Estimation Methods for Half-Logistic Unit-Gompertz Type-I Model
Mathematics, 2023 In this study, we propose a new three-parameter lifetime model based on the type-I half-logistic G family and the unit-Gompertz model, which we named the half-logistic unit Gompertz type-I distribution.
Anum Shafiq +4 more
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Panel Cointegration Analysis of Total Environmental Taxes and Economic Growth in EU Countries
Economic Analysis, 2021 This paper examines the relationship between total environmental taxes and economic growth for twenty-eight EU countries from 1994 to 2018. The aim of this research is to evaluate the long-run relationship between these variables based on panel data ...
Vera Mirović +2 more
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Momentum Operators in the Unit Square [PDF]
Integral Equations and Operator Theory, 2013 We investigate the skew-adjoint extensions of a partial derivative operator acting in the direction of one of the sides a unit square. We investigate the unitary equivalence of such extensions and the spectra of such extensions. It follows from our results, that such extensions need not have discete spectrum.
Pedersen, Steen, Tian, Feng
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Improved Packings of $n(n − 1)$ Unit Squares in a Square [PDF]
The Electronic Journal of Combinatorics, 2021 Let $s(n)$ be the side of the smallest square into which we can pack $n$ unit squares. The purpose of this paper is to prove that $s(n^2-n)<n$ for all $n\geq 12$. Besides, we show that $s(18^2-17) < 18, s(17^2-16) < 17,$ and $s(16^2-15) < 16.$
M. Z. Arslanov +2 more
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