Results 101 to 110 of about 22,228 (202)
Semi-Armendariz and Semi-McCoy rings
We introduce the notion of Semi-Armendariz (resp. Semi-McCoy) rings, which are a subclass of J-Armendariz (resp. J-McCoy rings) and investigate their properties. A ring R is called Semi-Armendariz (Semi-McCoy) if is Armendariz (McCoy).
shervin sahebi
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CIAG: Conditional Idempotent Association Generation for Heterogeneous Track‐to‐Track Association
In advanced defence and security systems, multi‐sensor fusion is widely used to improve the overall observation capability, and heterogeneous sensors are a typical deployment in multi‐sensor systems.
Pingliang Xu, Yaqi Cui, Wei Xiong
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Matrix division with an idempotent divisor or quotient
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An Introduction to i-Commutative Rings
In this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
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Every matrix is a linear combination of three idempotents
It is shown that every matrix \(A\in \mathbb{F}^{n\times n}\) over a field \(\mathbb{F}\) of characteristic zero may be represented as \(\lambda_1 Q_1+ \lambda_2 Q_2+ \lambda_3 Q_2\), where \(\lambda_i\in \mathbb{F}\), \(Q_i\in \mathbb{F}^{n\times n}\) and \(Q^2_i= Q_i\).
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Idempotency of the Hermitian part of a complex matrix
The paper characterizes matrices \(A\) with the Hermitian part, \(H(A)= (A + A^*)/2,\) being idempotent. It is shown that such matrices belong to the class of complex \(m\times m\) matrices for which \(A A^+ = A^+ A,\) where \(A^+\) is the Moore-Penrose inverse of \(A\), or equivalently, the range of \(A\) equals the range of \(A^*\).
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Augmented polynomial matrices and algebraization of switching circuits
Over rings of polynomials with idempotent variables (over arbitrary fields) there are defined classes of augmented matrices (with one distinguished column) that realize Boolean functions.
Yury G. Tarazevich
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Complex Fermatean fuzzy extended TOPSIS method and its applications in decision making. [PDF]
Zaman M +4 more
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Analytic Function Approximation by Path-Norm-Regularized Deep Neural Networks. [PDF]
Beknazaryan A.
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First order linear ordinary differential equations in associative algebras
In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
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