Results 21 to 30 of about 227,472 (209)
On the symmetric square. Unit elements [PDF]
Pacific Journal of Mathematics, 1996 \textit{J.-L. Waldspurger}'s recent coherence result [Publ. Math., Inst. Hautes Etud. Sci. 81, 25-72 (1995; Zbl 0841.22009)] for the germ expansion of the orbital integral of the unit element in the Hecke algebra on the topologically unipotent set, and Kazhdan's decomposition of compact elements into topologically unipotent and absolutely semi-simple ...
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Demonstratio Mathematica, 2015 Every collection of n (arbitrary-oriented) unit squares can be packed translatively into any equilateral triangle of side length 2:3755· √n.
Januszewski Janusz
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Packing Unit Squares in a Rectangle [PDF]
The Electronic Journal of Combinatorics, 2005 For a positive integer $N$, let $s(N)$ be the side length of the minimum square into which $N$ unit squares can be packed. This paper shows that, for given real numbers $a,b\geq 2$, no more than $ab -(a+1-\lceil a\rceil) -(b+1-\lceil b\rceil)$ unit squares can be packed in any $a'\times b'$ rectangle $R$ with $a' < a$ and $b' < b$. From this, we
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Effective area calculation of pressure balances by means of dimensional measurements method
Measurement: Sensors, 2021 In this study, a piston-cylinder unit that has 980 mm2 effective area was calibrated by means of the dimensional measurement method. In addition, the cross-floating experiment was conducted to determine the effective area of the same piston-cylinder unit,
A. Türk, M. Aksulu, İ. Meral
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A polynomial-time approximation scheme for the geometric unique coverage problem on unit squares [PDF]
, 2016 We give a polynomial-time approximation scheme for the unique unit-square coverage problem: given a set of points and a set of axis-parallel unit squares, both in the plane, we wish to find a subset of squares that maximizes the number of points ...
Ito, Takehiro +6 more
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Attractiveness of Central Public Spaces in Small Polish Towns Based on a Spatial Order Analysis
Land, 2021 The purpose of this article is to evaluate the attractiveness of centrally located public spaces (main squares) in select new small towns in Poland. The evaluation was conducted from the spatial order perspective.
Wioletta Kamińska, Mirosław Mularczyk
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Unit squares intersecting all secants of a square [PDF]
Discrete & Computational Geometry, 1994 Let S be a square of side length s > 0. We construct, for any sufficiently large s, a set of less than 1.994 s closed unit squares whose sides are parallel to those of S such that any straight line intersecting S intersects at least one square of S. It disproves L.
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5-Cyclohexyl-3-cyclohexylsulfonyl-2-methyl-1-benzofuran
Acta Crystallographica Section E, 2011 In the title compound, C21H28O3S, the benzofuran unit is essentially planar, with a mean deviation of 0.016 (1) Å from the least-squares plane defined by the nine constituent atoms.
Hong Dae Choi +3 more
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Optimal Packings of 13 and 46 Unit Squares in a Square [PDF]
The Electronic Journal of Combinatorics, 2010 Let $s(n)$ be the side length of the smallest square into which $n$ non-overlapping unit squares can be packed. We show that $s(m^2-3)=m$ for $m=4,7$, implying that the most efficient packings of 13 and 46 squares are the trivial ones.
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Packing, hitting, and colouring squares
Journal of Computational GeometryGiven a family of squares in the plane, the packing problem asks for the maximum number $\nu$ of pairwise disjoint squares among them, while the hitting problem asks for the minimum number $\tau$ of points hitting all of them.
Marco Caoduro, András Sebő
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