NIST logo

Publications Portal

You searched on: Topic Area: Math Sorted by: title

Displaying records 161 to 170 of 244 records.
Resort by: Date / Title

161. 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 ...

162. 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 ...

163. 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 ...

164. 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 ...

165. 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 ...

166. 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 ...

167. Onset of Convection in Binary Liquid Layers
Topic: Math
Published: 3/24/2010
Authors: Geoffrey B McFadden, Sam Ray Coriell, Aaron Lott
Abstract: We perform linear stability calculations for horizontal bilayers of a two-component fluid that can undergo a phase transformation, taking into account both buoyancy effects and thermocapillary effects in the presence of a vertical temperature gradien ...

168. Optimality Conditions for a Hierarchical Control Problem Governed by a PDE
Topic: Math
Published: 11/15/2011
Author: Anthony J Kearsley
Abstract: We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.

169. Parallel Programming with Interoperable MPI
Topic: Math
Published: 2/1/2004
Authors: William L George, John G Hagedorn, J E Devaney
Abstract: 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, ...

170. Parallel and Serial Implementations of SLI Arithmetic
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 5660
Topic: Math
Published: 6/1/1995
Authors: Daniel W Lozier, P R Turner

Search NIST-wide:

(Search abstract and keywords)

Last Name:
First Name:

Special Publications:

Looking for a NIST Special Publication (NIST SP Series)? Place the series number and dash in the report number field (Example: 800-) and begin your search.

  • SP 250-XX: Calibration Services
  • SP 260-XX: Standard Reference Materials
  • SP 300-XX: Precision Measurement and Calibration
  • SP 400-XX: Semiconductor Measurement Technology
  • SP 480-XX: Law Enforcement Technology
  • SP 500-XX: Computer Systems Technology
  • SP 700-XX: Industrial Measurement Series
  • SP 800-XX: Computer Security Series
  • SP 823-XX: Integrated Services Digital Network Series