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Recent research has shown that the conventional Critical State Theory (CST) is inadequate in modeling natural clays since the unified model was developed from behavior of saturated remolded clay which does not take into account factors such as the intrinsic composite geo-structure stress history, stress path, drain conditions and strain rate. This paper discusses and mathematically derives the Modified...
By means of theory of truth degrees of formulas, according to deduction theorems and completeness theorems, the new concepts of consistency degrees and polar index for general theories in Lukasewicz fuzzy and n-valued propositional logic systems are introduced. Moreover, sufficient and necessary conditions for a theory Gamma to be consistent, inconsistent and fully divergent are obtained. Finally,...
In the Introduction to Analysis of Algorithms, students traditionally apply a combination of computer science theory and mathematics to paper-based problem solving, analysis of pre-developed algorithms and proofs of algorithmic run-times. In this paper, we suggest that a major factor that determines the success in the Analysis is the discrepancy between the programming styles of CS1 and CS2, with...
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