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In addition to global conservation laws, we establish local conservation laws which pertain to subdomains consisting of a union of elements as well as individual elements.
Singer was, in his life and writing, a strange union of elements -- a Yiddish writer living in America who became, improbably, an American writer producing stories in Yiddish.
Finally, let (w_{x}) be the union of elements having x as a node, and (widetilde{w}_{T}) (resp. (widetilde{w}_{e})) be the union of all triangles sharing a node with T (resp. e).
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In classical finite element formulations, even when using enhanced strains or incompatible modes, the stiffness matrix can be assembled by the union of element stiffness matrices.
The proof of Proposition 2.17 shows that the common truisms are precisely the elements of M and unions of elements of M, so any commonly known event is the consequence of a common truism.
Scheizer and Sklar [9] proved that if ((M, F, tau) ) is a PM space with τ being continuous, then the family ℑ consisting of ∅ and all unions of elements of this strong neighborhood system for M determines a Hausdorff topology for M. Consequently, there exists a topology Λ on M such that the strong neighborhood system ℘ is a basis for Λ.
After matching human-to-mouse loci, we then mapped all mouse-to-human elements and took the union of all elements in each species, respectively.
The union set of elements between S and S' is denoted by U, and the number of elements | U|.
For any (Tin Upsilon_{jh}), let (w_{T}) be the union of all elements having a common edge/face with T. Similarly let (w_{e}) be the union of all elements having e as an edge/face.
The union of such elements gave the total domain.
UNESCO included it in the list of World Heritage Sites for the astronomical and mathematical rigor of its forms and the harmonious union of cultural elements from northern Europe, the Islamic world, and classical antiquity.
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