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Some Mathematical Properties of Morphoelasticity

2020
We consider a morphoelastic framework that models permanent deformations. The text treats a stability assessment in one dimension and a preservation of symmetry in multiple dimensions. Next, we treat the influence of uncertainty in some of the field variables onto the predicted behaviour of tissue.
Ginger Egberts   +3 more
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Mathematical Properties of the Deep Coalescence Cost

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2013
In the minimizing-deep-coalescences (MDC) approach for species tree inference, a tree that has the minimal deep coalescence cost for reconciling a collection of gene trees is taken as an estimate of the species tree topology. The MDC method possesses the desirable Pareto property, and in practice it is quite accurate and computationally efficient. Here,
Cuong V. Than, Noah A. Rosenberg
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Mathematical Properties of the Banzhaf Power Index

Mathematics of Operations Research, 1979
The Banzhaf index of power in a voting situation depends on the number of ways in which each voter can effect a “swing” in the outcome. It is comparable—but not actually equivalent—to the better-known Shapley-Shubik index, which depends on the number of alignments or “orders of support” in which each voter is pivotal.
Pradeep Dubey, Lloyd S. Shapley
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Knowledge and the mathematical properties of communication

International Journal of Information Technology and Management, 2003
This paper looks at some of the fundamental mathematical properties of communications. Knowledge is, we know, the property of a group of communicating agents yet little consideration is given to the features of these communications in the context of a group.
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Some statistical properties of mathematical morphology

IEEE Transactions on Signal Processing, 1995
Analyzes the statistical properties of the basic binary and multilevel morphological operations with both 1-D and 2D structuring elements. Very simple expressions for the output distribution of erosion and opening are derived in the case of any independent identically or nonidentically distributed inputs.
Demin Wang   +3 more
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Mathematical models and properties of games

Fourth IEEE Conference on Cognitive Informatics, 2005. (ICCI 2005)., 2005
Games are a decision process under competition where opponent players compete for the maximum gain or a success state in the same environment according to the same rules of the game. Games are conventionally dealt with payoff tables based on random strategies that are found inadequate to describe the dynamic behaviors of games and to rigorously predict
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Continuity properties in constructive mathematics

Journal of Symbolic Logic, 1992
AbstractThe purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We deal with principles which are equivalent to the statements “every mapping is sequentially nondiscontinuous”, “every sequentially nondiscontinuous mapping is sequentially continuous”, and “every sequentially continuous mapping is ...
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