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Efficient Packings of Unit Squares in a Large Square
Discrete & Computational Geometry, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Chung, Ron Graham
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Mathematics Teaching in the Middle School, 2001
These questions address the relationship between area and perimeter and challenge children to think beyond rules that they may have been taught in school.
Bellasanta B. Ferrer +5 more
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These questions address the relationship between area and perimeter and challenge children to think beyond rules that they may have been taught in school.
Bellasanta B. Ferrer +5 more
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Packing Rectangles into the Unit Square
Geometriae Dedicata, 2000\textit{L. Moser} and \textit{J. W. Moon} [Colloq. Math. 17, 103-110 (1967; Zbl 0152.39502)] proved that every sequence of squares whose total area is not more than 1/2 can be packed (using isometries) into a unit square. Now Januszewski generalizes this to: a sequence of rectangles of side length at most 1 and total area at most 1/2 can be packed into
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Discrete unit square cover problem
Discrete Mathematics, Algorithms and Applications, 2018In 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 MathematicumLet \(S_n\) 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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Youden Square with Split Units
2013In this chapter we present the most important problems connected with the design of experiments using Youden squares with split units. In fact we consider two types of designs. The first is connected with different arrangements of subplot treatments on the units of Youden squares.
Stanisław Franciszek Mejza +1 more
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Critical care management of chimeric antigen receptor T‐cell therapy recipients
Ca-A Cancer Journal for Clinicians, 2022Alexander Shimabukuro-Vornhagen +2 more
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