We present a derivation of Gosper's algorithm which permits generalization to higher-order recurrences with constant least and most signiicant coeecients. Like Gosper's algorithm, the generalized algorithm requires only "rational" operations (such as gcd and resultant computations) but no factorization.

Let $mathcal{R}$ be a  commutative ring with identity, let $A$ and $B$ be two $mathcal{R}$-algebras and $varphi:Blongrightarrow A$ be an $mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $Atimes_varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $Atimes_varphi B$ are studied. Accordingly, $Atimes_varphi B$ is considered from th...

A general derivation of the multi-pion correlation function for completely chaotic source is given. Its effects on the pion multiplicity distribution, twopion interferometry are studied. A generalized multi-pion correlation function for a partially coherent source is also discussed.

The notion of co derivations of ranked bigroupoids is discussed by Alshehri et al. in press , and their generalized version is studied by Jun et al. under review press . In particular, Jun et al. under review press studied coderivations of ranked bigroupoids. In this paper, the generalization of coderivations of ranked bigroupoids is discussed. The notion of generalized coderivations in ranked ...

We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation f( x+ y + z 4 ) + f( 3x− y − 4z 4 ) + f( 4x+ 3z 4 ) = 2f(x) . is satisfied in generalized Hyers–Ulam stability.

The main purpose of this note is to characterize the operators T ∈ B(H) which are orthogonal (in the sense of James) to the range of a generalized derivation for non-normal operators A,B ∈ B(H).

We prove some theorems in the setting of a 3-prime near-ring admitting a suitably constrained generalized derivation, thereby extending some known results on derivations. Moreover, we give an example proving that the hypothesis of 3-primeness is necessary.

This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry...

We explain how we extracted a PCFG (probabilistic contextfree grammar) from the Paris VII treebank. First we transform the syntactic trees of the corpus in derivation trees. The transformation is done with a generalized tree transducer, a variation from the usual top-down tree transducers, and gives as result some derivation trees for an AB grammar, which is a subset of a Lambek grammar, contai...

The Lipschitz function algebras were first defined in the 1960s by some mathematicians, including Schubert. Initially, the Lipschitz real-value and complex-value functions are defined and quantitative properties of these algebras are investigated. Over time these algebras have been studied and generalized by many mathematicians such as Cao, Zhang, Xu, Weaver, and others. Let  be a non-emp...