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Decomposition of Multiports

2017
Decomposition of multiports is used to show that the nine basic elements of bond graphs are based on the two basic principles of physics, viz., the energy conservation principle and the positive entropy production principle, and the fact that each model has to be separated from its environment that can still influence its behavior. These three concepts
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A Decomposition of Measures

Canadian Journal of Mathematics, 1968
Let X be a set, a σ-ring of subsets of X, and let μ be a measure on . Following (1), we define μ to be semifinite ifWe show (Theorem 1) that every measure can be reduced to a semifinite measure for many practical purposes. In many cases, this reduction can be made even more significantly (Theorems 2 and 3). Finally, necessary and sufficient conditions
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Continuous Decompositions

American Journal of Mathematics, 1949
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On Decompositions of the Sphere

Journal of the London Mathematical Society, 1954
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On the Tertiary Decomposition

Journal of the London Mathematical Society, 1971
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