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Applied Mathematics

Journal of the Arkansas Academy of Science

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Is Technological Progress A Random Walk? Examining Data From Space Travel, Michael Howell, Daniel Berleant, Hyacinthe Aboudja, Richard Segall, Peng-Hung Tsai Jan 2021

Is Technological Progress A Random Walk? Examining Data From Space Travel, Michael Howell, Daniel Berleant, Hyacinthe Aboudja, Richard Segall, Peng-Hung Tsai

Journal of the Arkansas Academy of Science

Improvement in a variety of technologies can often be successful modeled using a general version of Moore’s law (i.e. exponential improvements over time). Another successful approach is Wright’s law, which models increases in technological capability as a function of an effort variable such as production. While these methods are useful, they do not provide prediction distributions, which would enable a better understanding of forecast quality

Farmer and Lafond (2016) developed a forecasting method which produces forecast distributions and is applicable to many kinds of technology. A fundamental assumption of their method is that technological progress can be modeled as a …


Parallel Algorithms For Multicriteria Shortest Path Problems, David L. Sonnier Jan 2006

Parallel Algorithms For Multicriteria Shortest Path Problems, David L. Sonnier

Journal of the Arkansas Academy of Science

This paper presents two strategies for solving multicriteria shortest path problems with more than two criteria. Given an undirected graph within vertices, medges, and a set of K weights associated with each edge, we define a path as a sequence of edges from vertex s to vertex t. We want to find the Pareto-optimal set of paths from s to t. The solutions proposed herein are based on cluster computing using the Message-Passing Interface (MPI) extensions to the C programming language. We solve problems with 3 and 4 criteria, using up to 8 processors in parallel and using solutions based …


Characterization Of The Bivariate Negative Binomial Distribution, James E. Dunn Jan 1967

Characterization Of The Bivariate Negative Binomial Distribution, James E. Dunn

Journal of the Arkansas Academy of Science

No abstract provided.


Monte Carlo Study Of Estimation For Nonlinear Models Subjected To Linearizing Transformations, Jeff Kennington, James E. Dunn Jan 1967

Monte Carlo Study Of Estimation For Nonlinear Models Subjected To Linearizing Transformations, Jeff Kennington, James E. Dunn

Journal of the Arkansas Academy of Science

No abstract provided.


Estimates Of Error In Numerical Integration, Dorothy M. Hoover Jan 1955

Estimates Of Error In Numerical Integration, Dorothy M. Hoover

Journal of the Arkansas Academy of Science

No abstract provided.


Algebraic Relations For Property-Composition Curves Of Binary Mixtures, Louis Frank Jan 1955

Algebraic Relations For Property-Composition Curves Of Binary Mixtures, Louis Frank

Journal of the Arkansas Academy of Science

No abstract provided.


Moment-Generating Functions And Laplace Transforms, James F. Miller Jan 1951

Moment-Generating Functions And Laplace Transforms, James F. Miller

Journal of the Arkansas Academy of Science

No abstract provided.