Results 11 to 20 of about 1,767 (212)

The Commutation Matrix: Some Properties and Applications [PDF]

open access: yesThe Annals of Statistics, 1979
The commutation matrix $K$ is defined as a square matrix containing only zeroes and ones. Its main properties are that it transforms vecA into vecA', and that it reverses the order of a Kronecker product. An analytic expression for $K$ is given and many further properties are derived.
Magnus, Jan R., Neudecker, H.
openaire   +5 more sources

On idempotent stable range 1 matrices

open access: yesSpecial Matrices, 2022
We characterize the idempotent stable range 1, 2 × 2 matrices over commutative rings and in particular the integral matrices with this property. Several special cases and examples complete the subject.
Călugăreanu Grigore, Pop Horia F.
doaj   +1 more source

The universal property of commutative algebras' internal crossed modules

open access: yesJournal of New Results in Science, 2023
In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
doaj   +1 more source

The interpretation of commutative justice theory in the realm of contracts [PDF]

open access: yesمطالعات فقه و حقوق اسلامی, 2013
Commutative justice, in the philosophy of law, means giving the exact amount of everybody’s rights and achieves without interference, and distributive justice is concerned to distribution of property by state. Commutative justice theory, from a more
S.P. khandani, M. Khakbaz
doaj   +1 more source

Efficient Computation of Intervention in Causal Bayesian Networks [PDF]

open access: yesJisuanji kexue, 2022
In causal Bayesian networks (CBNs),it is a fundamental problem to compute the causal effect of sum product.From the perspective of a directed acyclic graph,we show every CBN has a corresponding Bayesian network.Intervention is a fundamental operation in ...
LI Chao, QIN Biao
doaj   +1 more source

Enumeration of Involutions of Finite Rings

open access: yesJournal of New Theory, 2021
In this paper, we study a special class of elements in the finite commutative rings called involutions. An involution of a ring R is an element with the property that x^2-1=0 for some x in R.
Sajana Shaık, Chalapathi Tekurı
doaj   +1 more source

Commutator Properties for Periodic Splines

open access: yesJournal of Approximation Theory, 1999
Commutator properties are established for periodic splines with distinct uniformly spaced knots (on uniform meshes) operated on by certain pseudodifferential operators. The commutation involves the operations of multiplication by a smooth function and application of a discrete version of orthogonal projection obtained by using a quadrature rule (which ...
Sloan, I.H., Wendland, W.
openaire   +1 more source

Commutation Properties of Operator Polynomials [PDF]

open access: yesJournal of the Australian Mathematical Society, 1971
Suppose A and B are continuous linear operators mapping a complex Banach space X into itself. For any polynomial pC, it is obvious that when A commutes with B, then p(A) commutes with B. To see that the reverse implication is false, let A be nilpotent of order n. Then An commutes with all B but A cannot do so. Sufficient conditions for the implication:
openaire   +2 more sources

Local Uniform Convexity and Kadec-Klee Type Properties in K-interpolation spaces II

open access: yesJournal of Function Spaces and Applications, 2004
We study local uniform convexity and Kadec-Klee type properties in K-interpolation spaces of Lorentz couples. We show that a wide class of Banach couples of (commutative and) non-commutative Lorentz spaces possess the (so-alled) (DGL)-property originally
Peter G. Dodds   +3 more
doaj   +1 more source

Continuous functions with compact support

open access: yesApplied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya   +2 more
doaj   +1 more source

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