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Semantic Foundations of Commutativity Analysis

open access: yes, 2007
This paper presents the semantic foundations of commutativity analysis, an analysis technique for automatically parallelizing programs written in a sequential, imperative programming language.
Pedro C. Diniz, Martin C. Rinard
core  

On commutators of idempotents

open access: yesLinear and Multilinear Algebra
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
openaire   +3 more sources

Whole-to-parts causation mechanism. [PDF]

open access: yesFront Psychol
Ohmura Y, Kuniyoshi Y.
europepmc   +1 more source

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