CHANCE-CONSTRAINED PROGRAMMING: AN EXTENSION OF STATISTICAL METHOD11This research was partly supported by a grant from the Farah Foundation and by ONR Contracts N00014-67-A-0126-0008 and N00014-67-A-0126-0009 with the Center for Cybernetic Studies, The University of Texas. Reproduction in whole or in part is permitted for any purpose of the United States Government.

Author(s):  
A. Charnes ◽  
W.W. Cooper ◽  
M.J.L. Kirby
2004 ◽  
Vol 819 ◽  
Author(s):  
Bryan W. Reed ◽  
Mukul Kumar

AbstractTwo-dimensional (2D) cross sections through three-dimensional (3D) polycrystalline materials present a biased picture of the statistical properties of grain boundary networks. These properties are essential to many practical applications such as grain boundary engineering. We show a simple correction that will partly correct for the sampling biases by removing the effect of the correlation between grain boundary type and grain boundary area. This correction alters number fraction estimates by as much as ∼60% for σ3 boundaries in the highly-twinned copper samples we consider. We also estimate the bias introduced by the correlation between boundary type and boundary shape, which for many materials represents perhaps a 10% shift in the measured statistics, so that the simple method we propose should correct for the majority of the bias in favorable cases.This document was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor the University of California nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or the University of California. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or the University of California, and shall not be used for advertising or product endorsement purposes.


1977 ◽  
Vol 39 (3) ◽  
pp. 291-297

In his address at the Commencement Exercises of the University, May 22, 1977, President Carter outlined the principles and goals on which the foreign policy of the United States Government understands itself to be based. Given the nature of the topic, the editors of The Review judged that it would be a service to our readers to print it here. The text is complete except for the opening remarks directed to the immediate audience.


2010 ◽  
Vol 43 (01) ◽  
pp. 127-131 ◽  
Author(s):  
Leonard Champney ◽  
Paul Edleman

AbstractThis study employs the Solomon Four-Group Design to measure student knowledge of the United States government and student knowledge of current events at the beginning of a U.S. government course and at the end. In both areas, knowledge improves significantly. Regarding knowledge of the U.S. government, both males and females improve at similar rates, those with higher and lower GPAs improve at similar rates, and political science majors improve at similar rates to non-majors. Regarding current events, males and females improve at similar rates. However, those with higher GPAs and political science majors improve more than others.


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