Báo cáo toán học: "Optimal Packings of 13 and 46 Unit Squares in a Square" pps

... packings of 13 and 46 squares are the trivial ones. The study of packing unit squares into a square goes back to Erd˝os and Graham [2], who showed that large numbers of unit squares can be packed ... consider two subcases: the electronic journal of combinatorics 17 (2010), #R126 8 Optimal Packings of 13 and 46 Unit Squares in a Square Wolfram Be...

Ngày tải lên: 08/08/2014, 12:22

... gold nanoparticles using a surfactant template. Adv Mater 2001, 13: 1389. 15. Kawamura G, Nogami M: Application of a conproportionation reaction to a synthesis of shape-controlled gold nanoparticles. ... nanostructures [GNSs] were mainly obtained in the mesopores when a small amount of TiO 2 -containing mesoporous SiO 2 -TiO 2 was used as a template, whereas the use of a...

Ngày tải lên: 20/06/2014, 21:20

... also obtained in which all disks are Dense Packings of Equal Disks in an Equilateral Triangle: From 22 to 34 and Beyond R. L. Graham B. D. Lubachevsky AT&T Bell Laboratories, Murray Hill, ... elastic disks. In the absence of gravitation and friction, the disks move along straight lines, colliding with each other and the region walls according to the standard laws of me...

Ngày tải lên: 07/08/2014, 06:20

... results of sphere packings in a cube and we display all optimal and best known packings for 2 ≤ n ≤ 32. We show that contrary to the two-dimensional case, our billiard algorithm and probably the earlier ... of packing n congruent spheres in a unit cube C was raised apparently in 1966 in [S1]. It is shown in that paper that any optimal configuration contains at lea...

Ngày tải lên: 07/08/2014, 08:20

... DTPA-anti-CAIX and DOTA-anti-CAIX in 0.1-M NaAc, NH 4 Ac, MES and HEPES buffers. Figure 4. Radiolabelling of DTPA-exendin-3 with 111 In. Radiolabelling of DTPA-exendin- 3 with 111 In at ... resulted in a SA that was 49 ± 1% of the maximum theoretical SA and was higher than the SA in acetate buffers (NaAc 22 ± 1% and NH 4 Ac 12 ± 1%). Similar results were obtai...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:20

... Min Book Comp any, Taichung, Tai- wan, 1991. 382 P´al D¨om¨osi, G´eza Horv´ath, Masami Ito, and Kayoko Shikishima-Tsuji simplicity, if X = {a} ,thenwewritea, a + and a ∗ instead of {a} , {a} + and ... 1.3. Vietnam Journal of Mathematics 34:4 (2006) 381–387 Some Periodicity of Words and Marcus Contextual Grammars * P´al D¨om¨osi 1 ,G´eza Horv´ath 1 , Masami Ito 2 , and Kay...

Ngày tải lên: 06/08/2014, 05:20

... the remainder of the paper) is devoted to specializing Theorem 4 to compute generating functions for descents and length in all of the classical finite and a ne Weyl groups, and certain families ... D´esarm´enien and D. Foata, The signed Eulerian numbers,Disc.Math99 (1992), 49-58. [GG] A. M. Garsia and I. Gessel, Permutation statistics and partitions,Adv.inMath.31 (1979), 2...

Ngày tải lên: 07/08/2014, 06:20

... Optimal double-loop networks with non -unit steps ∗ F. Aguil´o, E. Sim´o and M. Zaragoz a Dept. de Matem`atica Aplicada IV Universitat Polit`ecnica de Catalunya C/. Jordi Girona 1-3 08034 Barcelona, ... work we give a characterization of nus integers and a method for finding in nite families of nus integers is developed. Also the tight nus integers are classified. As a conseque...

Ngày tải lên: 07/08/2014, 07:21

... move in corresponding pair of columns of the binary matrix while leaving the integral matrix unchanged, and that each upward slide of a tableau entry results in applying an upward unit transfer in ... the interchange of a single pair of distinct adjacent bits in a binary matrix; this will be vertical adjacent pair in the discussion above, but for the cancellation...

Ngày tải lên: 07/08/2014, 13:21