Results 81 to 90 of about 14,642,230 (161)
A Verified Algebra for Linked Data
A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links.
Ross Horne +3 more
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(APD)–property of $C^*$–algebras by extensions of $C^*$–algebras with (APD) [PDF]
Summary: A unital \(C^*\)-algebra \({\mathcal A}\) is said to have the (APD)-property if every nonzero element in \({\mathcal A}\) has an approximate polar decomposition. Let \({\mathcal J}\) be a closed ideal of \({\mathcal A}\). Suppose that \(\widetilde {\mathcal J}\) and \({\mathcal A}/{\mathcal J}\) have (APD).
openaire +2 more sources
Computer algebra and transputers applied to the finite element method [PDF]
Recent developments in computing technology have opened new prospects for computationally intensive numerical methods such as the finite element method.
Barbier, Christine, Barbier, C
core
AbstractA C∗-algebra is called nuclear if there is a unique way of forming its tensor product with any other C∗-algebra. Takesaki [17] showed that all C∗-algebras of type I and all inductive limits of such algebras are nuclear, but that the C∗-algebra Cr∗(G) generated by the left regular representation of G on l2(G) is nonnuclear, where G is the free ...
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Set Theory and C*-Algebras [PDF]
AbstractWe survey the use of extra-set-theoretic hypotheses, mainly the continuum hypothesis, in the C*-algebra literature. The Calkin algebra emerges as a basic object of interest.
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Algebra and technology: Emerging issues
Although there are a number of technologies related to school algebra, it is only the personal technology of the graphics calculator that seems likely to be available widely enough to influence curriculum design and implementation on a large scale.
Kissane, B.
core
Representations up to homotopy of Lie algebroids [PDF]
We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples. We use representations up to homotopy to define the adjoint representation of a Lie algebroid and show that the resulting ...
Marius Crainic +7 more
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Graphics calculators and algebra
The personal technology of the graphics calculator is presently the only one likely to be available widely enough to influence curriculum design and implementation on a large scale.
Kissane, B.
core
A C- algebra is the algebraic form of the 3-valued conditional logic, which was introduced by F. Guzman and C.C. Squier in 1990. In this paper, some equivalent conditions for a C- algebra to become a boolean algebra in terms of congruences are given.
Rao, Guddati C., Sundarayya, Perumali
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Hyperrigid generators in $$C*$$-algebras [PDF]
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