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A lattice metric singualrity occurs when unit cells defining two (or more) lattices yield the identical set of unique calculated d-spacings. The existence of such singularities, therefore, has a practical and theoretical impact on the indexing of powder
The National Institute of Standards and Technology (NIST) is developing a digital library of mathematical functions to replace the widely used National Bureau of Standards Handbook of Mathematical Functions published in 1964 [1]. The NIST Digital Library
David E. Gilsinn, Geraldine S. Cheok, Alan M. Lytle
Automation of construction processes can result in reduced project costs and increased worker safety. A process that lends itself to automation is the picking and placing of objects. However, determining the pose (position and orientation) of an object is
T L. Schmitz, J C. Ziegert, Timothy J. Burns, Brian S. Dutterer, W R. Winfough
This paper describes the development of three-dimensional stability surfaces, or maps, that combine the traditional dependence of allowable (chatter-free) chip width on spindle speed with the inherent dependence on tool overhang length, due to the
Estimating error uncertainties arising in production parts isnot a well understood process. This study developed an approach to estimatethese uncertainties. Machine tool error components on a vertical turningcenter were measured. Multiple parts were
We begin this expository essay by reviewing with examples what a typical engineer already knows about statistics. We then consider a central question in engineering decision making, i.e., given a computer simulation of high-consequence systems, how do we
In this article we describe IMPI (Interoperable Message Passing Interface), a message passing protocol that allows you to easily run parallel programs across multiple clusters, SMPs (symmetric multiprocessors), parallel machines, personal computers, and
In this paper a theorem of Stokes is used to establish the existence of a periodic solution of a Van der Pol equation with fixed delay in the neighborhood of an approximating solution that satisfies a certain noncriticality condition.
David E. Gilsinn, Marjorie A. McClain, Christoph J. Witzgall
In this paper we introduce the notion of Lavery splines and examine their properties in the univariate case. We also discuss some of the details involved with computing these splines on irregularly spaced data.