Topic
Division (mathematics)
About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.
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30 citations
TL;DR: Using different frictional shear stress models, mesh division and number of elements in the deformation zone, this article analyzed the influence of friction variation on the convergence and results of simulation such as rolling pressure, forward slip and spread by 3D rigid-plastic FEM.
30 citations
TL;DR: An iterative array for nonrestoring division uses a logic cell which has been proposed for an array for binary square-root extraction and is fully iterative in terms of cell logic and in the interconnection pattern between the cells.
Abstract: An iterative array for nonrestoring division is described. It uses a logic cell which has been proposed for an array for binary square-root extraction. The array for binary division is fully iterative in terms of cell logic and in the interconnection pattern between the cells.
30 citations
Patent•
19 Oct 2007TL;DR: In this article, a method and apparatus for multiplexing code division and frequency division transmissions is described, which includes accessing at least one first symbol and at least two second symbols, encoding the first symbol according to a frequency division protocol and encoding the second symbol using a coding sequence having a cyclic correlation properly.
Abstract: The present invention provides a method and apparatus for multiplexing code division and frequency division transmissions. One embodiment of the method includes accessing at least one first symbol and at least one second symbol, encoding the at least one first symbol according to a frequency division protocol, and encoding the at least one second symbol using a coding sequence having a cyclic correlation properly. The method also includes transmitting a radiofrequency signal indicative of the at least one encoded first symbol and the at least one encoded second symbol.
30 citations
TL;DR: The results suggest that the division site placement is consistent with a Turing patterning system in these archaea, where most triangular cells divide as predicted by a Turing mechanism; however, in some cases multiple division planes are observed resulting in cells dividing into three viable progeny.
Abstract: One mechanism for achieving accurate placement of the cell division machinery is via Turing patterns, where nonlinear molecular interactions spontaneously produce spatiotemporal concentration gradients. The resulting patterns are dictated by cell shape. For example, the Min system of Escherichia coli shows spatiotemporal oscillation between cell poles, leaving a mid-cell zone for division. The universality of pattern-forming mechanisms in divisome placement is currently unclear. We examined the location of the division plane in two pleomorphic archaea, Haloferax volcanii and Haloarcula japonica, and showed that it correlates with the predictions of Turing patterning. Time-lapse analysis of H. volcanii shows that divisome locations after successive rounds of division are dynamically determined by daughter cell shape. For H. volcanii, we show that the location of DNA does not influence division plane location, ruling out nucleoid occlusion. Triangular cells provide a stringent test for Turing patterning, where there is a bifurcation in division plane orientation. For the two archaea examined, most triangular cells divide as predicted by a Turing mechanism; however, in some cases multiple division planes are observed resulting in cells dividing into three viable progeny. Our results suggest that the division site placement is consistent with a Turing patterning system in these archaea.
30 citations