Results 181 to 190 of about 227,472 (209)

Random dyadic tilings of the unit square

Random Structures & Algorithms, 2002
AbstractA “dyadic rectangle” is a set of the formR= [a2−s, (a+ 1)2−s] × [b2−t, (b+ 1)2−t], wheresandtare nonnegative integers. A dyadic tiling is a tiling of the unit square with dyadic rectangles. In this paper we studyn‐tilings, which consist of 2nnonoverlapping dyadic rectangles, each of area 2−n, whose union is the unit square.
Svante Janson, Dana Randall, Joel Spencer   +2 more
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Comparing squaring and cubing units with multipliers

2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS), 2012
With power becoming a precious resource in current VLSI systems, performance per Watt has become a more important metric than chip area. With a large number of applications benefitting from support for complex functional units like squaring and cubing, it becomes imperative that such functions be implemented in hardware.
Aditya M. Deshpande, Jeffrey Draper
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Discrete unit square cover problem

Discrete Mathematics, Algorithms and Applications, 2018
In this paper, we consider the discrete unit square cover (DUSC) problem as follows: given a set [Formula: see text] of [Formula: see text] points and a set [Formula: see text] of [Formula: see text] axis-aligned unit squares in [Formula: see text], the objective is (i) to check whether the union of the squares in [Formula: see text] covers all the ...
Manjanna Basappa, Gautam K. Das
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Packing of non-blocking squares into the unit square

Colloquium Mathematicum
Let \(S_n\) be a square, for \(n = 1, 2,\dots\), and let \(I\) be a square of sidelength 1. We say that the squares \(S_1\), \(S_2\), \(\dots\) can be \textit{packed} into \(I\) if it is possible to apply translations and rotations to the sets \(S_n\) so that the resulting translated and rotated squares are contained in \(I\) and have mutually disjoint
Januszewski, Janusz, Zielonka, Łukasz
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A Note on Covering a Square of Side Length 2 + ∊ with Unit Squares

The American Mathematical Monthly, 2009
(2009). A Note on Covering a Square of Side Length 2 + ∊ with Unit Squares. The American Mathematical Monthly: Vol. 116, No. 2, pp. 174-178.
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A Novel Approach for Unit-Modulus Least-Squares Optimization Problems

IEEE Signal Processing Letters, 2023
Cristian Rusu, Núria González-Prelcic   +1 more
exaly  

A modified least squares method: Approximations on the unit circle and on (−1,1)

Journal of Computational and Applied Mathematics, 2022
L L Silva Ribeiro, A Sri Ranga
exaly  

Minimax Theorems for Games on the Unit Square

Theory of Probability & Its Applications, 1964
We consider a class of infinite games with unbounded cores and establish the existence of their value.It is shown that a game with the core \[ K(x,y) = \left\{ \begin{gathered} L(x,y),\quad x y, \hfill \\ \end{gathered} \right. \] where the functions L and M are defined and continuous on the triangles $0 \leqq x \leqq y \leqq 1$, $0 \leqq y \leqq x ...
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Unit Squares

2022
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Bio-inspired auxetic mechanical metamaterials evolved from rotating squares unit

Mechanics of Materials, 2022
Andrea Sorrentino, D Castagnetti, Luke Mizzi   +2 more
exaly