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Topic Area: Math
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Displaying records 141 to 150 of 221 records.
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141. Multiresolution Representation of Urban Terrain By L^1^ Splines, L^2^ Splines, and Piecewise Planar Surfaces
Topic: Math
Published: 12/11/2000
Authors: J E Lavery, David E. Gilsinn
Abstract: Cubic L^d1^ and L^d2^ interpolating splines based on C^u1^ smooth piecewise cubic Sibson elements on a tensor-product grid are investigated. Computational tests were carried out for a 102.4 km area of Fort Hood, Texas represented by a 1025 x 1025 set ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150797

142. NIST Digital Library of Mathematical Functions
Topic: Math
Published: 5/1/2003
Author: Daniel W Lozier
Abstract: NIST (formerly, National Bureau of Standards) has started an ambitious project that aims to produce a successor to Abramowitz and Stegun's {\em Handbook of Mathematical Functions}, published by the National Bureau of Standards in 1964 and reprinted b ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150849

143. On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers
Topic: Math
Published: 8/2/2010
Authors: Cagdas Calik, Meltem Sonmez Turan, Ferruh Ozbudak
Abstract: Feedback shift registers are basic building blocks for many cryptographic primitives. Due to the insecurities of Linear Feedback Shift Register (LFSR) based systems, the use of Nonlinear Feedback Shift Registers (NFSRs) became more popular. In this w ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=905987

144. On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Topic: Math
Published: 5/24/2011
Author: Howard S Cohl
Abstract: For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, derivatives for associate ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907710

145. On The Reversion of an Asymptotic Expansion and the Zeros of the Airy Functions
Topic: Math
Published: 1/15/1999
Authors: Bruce R Fabijonas, Frank William John Olver
Abstract: The general theories of the derivation of inverses of functions from their power series and asymptotic expansions are discussed and compared. The asymptotic theory is applied to obtain asymptotic expansions of the zeros of the Airy functions and the ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150751

146. On Use of Bayesian Statistics to Make Guide to the Expression of Uncertainty in Measurement Consistent
Topic: Math
Published: 9/1/2003
Authors: Raghu N Kacker, Albert W Jones
Abstract: The Guide to the Expression of Uncertainty in Measurement recommends a standardized way of expressing uncertainty in measurement and provides a comprehensive approach for combining information to evaluate uncertainty in all kinds of measurements in s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50693

147. On integer solutions of x^4+y^4-2z^4-2w^4=0
Topic: Math
Published: 9/18/2013
Authors: Dustin Moody, Arman Shamsi Zargar
Abstract: In this article, we study the quartic Diophantine equation x^4+y^4-2z^4-2w^4=0. We find non-trivial integer solutions. Furthermore, we show that when a solution has been found, a series of other solutions can be derived. We do so using two dif ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913962

148. On the Bifurcation From Continuous to Segmented Chip Formation in Metal Cutting
Topic: Math
Published: 2/6/2000
Authors: Timothy J Burns, Matthew A. Davies, Christopher J. Evans
Abstract: We describe a new approach to modeling chip formation in orthogonal machining. Metal cutting is interpreted as a nonlinear dynamical process with thermomechanical feedback, which is similar in many ways to an open chemical reactor. As the cutting s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150732

149. On the Distribution of the Limit of Products of I.I.D 2 x 2 Random Stochastic Matrices
Topic: Math
Published: 1/15/1999
Authors: A Mukherjea, Anastase Nakassis, J S Ratti
Abstract: This article extends the results of [3] by establishing sufficient conditions for the limit distribution of products of i.i.d. 2 x 2 random stochastic matrices to be continuous singular, when the support of the distribution of the individual random m ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150723

150. Only non-informative Bayesian prior distributions agree with the GUM Type A evaluations of input quantities
Topic: Math
Published: 6/21/2011
Author: Raghu N Kacker
Abstract: The Guide to the Expression of Uncertainty in Measurement (GUM) is self-consistent when Bayesian statistics is used for the Type A evaluations and the standard deviation of the posterior state-of-knowledge distribution is used as the Bayesian standar ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=907999



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