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Topic Area: Math
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Displaying records 141 to 150 of 226 records.
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141. Modeling of Photochemical Reactions in a Focused Laser Beam
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 7/1/2007
Authors: Fern Y Hunt, Adolfas Kastytis Gaigalas, Lili Wang
Abstract: This paper presents a mathematical model of photodegradation of fluorophores passing through a laser beam. The beam is focused on the sample and thus the power distribution of incident light is strongly dependent on spatial location while the fluorop ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=50915

142. Modelling Type Ia Supernova Light Curves
Topic: Math
Published: 9/15/2010
Authors: Bert W Rust, Dianne M O'Leary, Katharine M Mullen
Abstract: Type Ia supernova light curves are characterized by a rapid rise from zero luminosity to a peak value, followed by a slower quasi-exponential decline. The rise and peak last for a few days, while the decline persists for many months. It is widely b ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=903019

143. Moment-Preserving Modeling With Image Applications
Topic: Math
Published: 7/6/1998
Authors: Anastase Nakassis, Abdou Sleiman Youssef
Abstract: Linear least-square modeling is a powerful modeling approach. Optimal piece-wise constant modeling is an important special case. In this paper we will develop a piece-wise constant modeling method that preserves the regional means and regional fir ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150733

144. 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

145. 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

146. 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

147. 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

148. 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

149. 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

150. 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



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