Two operations commute if they generate the same result regardless of the order in which they execute. Commutativity is an important property | commuting operations enable signi cant optimizations in the elds of parallel computing, optimizing compilers, parallelizing compilers and database concurrency control. Algorithms that statically decide if operations commute can be an important component...

in this paper we study the impact of minkowski metric matrix on a projection in theminkowski space m along with their basic algebraic and geometric properties.the relationbetween the m-projections and the minkowski inverse of a matrix a in the minkowski spacemis derived. in the remaining portion commutativity of minkowski inverse in minkowski spacem is analyzed in terms of m-projections as an a...

In this paper, we calculated the quasinormal modes (QNMs) of a charged non-commutative black hole in scalar, electromagnetic and gravitational fields by three methods. We gave influence parameter $\theta$ charge $Q$ on QNMs different fields. Thereafter, shadow radius provided valid range using constraints $\text{M87}^{\ast}$ $\text{Sgr A}^{\ast}$ from Event Horizon Telescope (EHT). addition, es...

We present direct arguments for non-commutativity of spheres in the AdS/CFT correspondence. The discussion is based on results for the SN orbifold SCFT. Concentrating on three point correlations (at finite N) we exhibit a comparison with correlations on a non-commutative sphere. In this manner an essential signature of non-commutativity is identified giving further support for the original prop...

In this paper, we try to focus the reader's interest on the problems that transactional systems have to resolve for taking advantage of commutativity in a serializable and recoverable way. Our framework is, (as others), based on the use of conditional commutativity on abstract date types. We present new features that have not been found in the literature hitherto, that both increase concurrency...

We investigate if every quasi-minimal group is abelian, and give a positive answer for a quasi-minimal pure group having a ∅-definable partial order with uncountable chains. We also relate two properties of a complete theory in a countable language: the existence of a quasi-minimal model and the existence of a strongly regular type. As a consequence we derive the equivalence of conjectures on c...

We study the local indistinguishability problem of quantum states. By introducing an easily calculated quantity, non-commutativity, we present an criterion which is both necessary and sufficient for the local indistinguishability of a complete set of pure orthogonal product states. A constructive distinguishing procedure to obtain the concrete local measurements and classical communications is ...