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You searched on: Topic Area: Math

Displaying records 61 to 70 of 106 records.
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61. IPOG/IPOG-D: Efficient Test Generation for Multi-way Combinatorial Testing
Topic: Math
Published: 11/29/2007
Authors: Yu Lei, Raghu N Kacker, David R Kuhn, Vadim Okun, James F Lawrence
Abstract: We present two strategies for multi-way testing (i.e., t-way testing with t > 2). The first strategy generalizes an existing strategy, called In-Parameter-Order, from pairwise testing to multi-way testing. This strategy requires all t-way combination ...

62. Evolution of Modern Approaches to Express Uncertainty in Measurement
Topic: Math
Published: 11/27/2007
Authors: Raghu N Kacker, K D Sommer, Bernd Siebert
Abstract: The object of this paper is to discuss evolution of the concept of uncertainty in measurement and methods for its quantification from the classical error analysis to the modern approaches based on the Guide to the Expression of Uncertainty in Measure ...

63. 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 ...

64. A Combinatorial Testing Strategy for Concurrent Programs
Topic: Math
Published: 6/7/2007
Authors: Yu Lei, Richard Carver, Raghu N Kacker, David Kung
Abstract: One approach to testing concurrent programs is called reachability testing, which derives test sequences automatically and on-the-fly, without constructing a static model. Existing reachability testing algorithms are exhaustive in that they are inten ...

65. IPOG: A General Strategy for t-Way Software Testing
Topic: Math
Published: 3/29/2007
Authors: Yu Lei, Raghu N Kacker, David R Kuhn, Vadim Okun, James F Lawrence
Abstract: Most existing work on t-way testing has focused on 2-way (or pairwise) testing, which aims to detect faults caused by interactions between any two parameters. However, faults can also be caused by interactions involving more than two parameters. In t ...

66. Computable Error Bounds for Approximate Periodic Solutions of Autonomous Delay Differential Equations
Topic: Math
Published: 1/2/2007
Author: David E. Gilsinn
Abstract: In this paper we prove a result that says: Given an approximate solution and frequency to a periodic solution of an autonomous delay differential equation that satisfies a certain non-criticality condition, there is an exact periodic solution and fre ...

67. Comments on 'Bayesian evaluation of comparison data' by Ignacio Lira
Topic: Math
Published: 1/1/2007
Authors: Raghu N Kacker, Blaza Toman
Abstract: A recent paper by Ignacio Lira in Metrologia 43 (2006) S231-S234 addresses a well-known problem in combining information from interlaboratory evaluations. Lira presents an expression, which he claims to be the kernel of a Bayesian posterior probabili ...

68. Random-Effects Model for Meta-analysis of Clinical Trials: An Update
Topic: Math
Published: 1/1/2007
Authors: Rebecca DerSimonian, Raghu N Kacker
Abstract: The random-effects model is a useful approach for meta-analysis of clinical studies. It explicitly accounts for the heterogeneity of studies through a statistical parameter representing the inter-study variation. We discuss several iterative and non- ...

69. Approximating Periodic Solutions of Autonomous Delay Differential Equations
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7375
Topic: Math
Published: 11/30/2006
Author: David E. Gilsinn
Abstract: Machine tool chatter has been characterized as isolated periodic solutions or limit cycles of delay differential equations. Determining the amplitude and frequency of the limit cycle is sometimes crucial to understanding and controlling the stability ...

70. Integral Operators and Delay Differential Equations
Topic: Math
Published: 10/1/2006
Authors: David E. Gilsinn, Florian A Potra
Abstract: 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 ...

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