Further Results on Colombeau Product of Distributions by Biljana Jolevska-Tuneska, Tatjana Atanasova-Pacemska

“…They are obtained in Colombeau differential algebra of generalized functions that contains the space of Schwartz distributions as a subspace and has a notion of “association” that is a faithful generalization of the weak equality in .…”
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Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp by Dae San Kim, Taekyun Kim

“…Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. …”
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On maximal measures with respect to a lattice by James Camacho

“…Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on the algebra generated by the lattice. Finally these general results are used to consider σ-smooth measures with respect to the lattice when further conditions on the lattice hold.…”
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The Strict AKNS Hierarchy: Its Structure and Solutions by G. F. Helminck

“…We discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. …”
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Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces by Xiaoji Liu, Fu Huang

“…We also use this iterative method for computing the generalized Drazin inverse in Banach algebra. Moreover, we estimate the error bounds of the iterative methods for approximating or .…”
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Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation by Yu-Shan Bai, Qi Zhang

“…The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation are constructed. …”
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Topological Aspects of the Product of Lattices by Carmen Vlad

“…Let 𝐗 be an arbitrary nonempty set and 𝐋 a lattice of subsets of 𝐗 such that ∅, X∈L. 𝐀(𝐋) denotes the algebra generated by 𝐋, and 𝐌(𝐋) denotes those nonnegative, finite, finitely additive measures on 𝐀(𝐋). …”
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On the function TreH+itK by Mark Fannes, Dénes Petz

“…We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace τ, that the function t∈ℝ↦τ(exp(a+itb)) is positive definite. …”
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CLOUD SERVICES FOR ORGANIZATION OF STUDENTS’ EDUCATION ACTIVITY CONTROL by Olesya M. Abramova

“…The article dwellson thequestions ofa choice and theuse of innovative technologies forcontrol of education activity of futureeconomists when studyingdiscipline «Linear algebra». The article discuss the methodical possibilities of cloud services that functionally are the most suitable for the organization of educational activity control in the modern educational environment. …”
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A Framework for Coxeter Spectral Classification of Finite Posets and Their Mesh Geometries of Roots by Daniel Simson, Katarzyna Zając

“…Following our paper [Linear Algebra Appl. 433(2010), 699–717], we present a framework and computational tools for the Coxeter spectral classification of finite posets J≡(J,⪯). …”
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Relationships of convolution products, generalized transforms, and the first variation on function space by Seung Jun Chang, Jae Gil Choi

“…We then examine the various relationships that exist among the first variation, the generalized Fourier-Feynman transform, and the convolution product for functionals on function space that belong to a Banach algebra S(Lab[0,T]). These results subsume similar known results obtained by Park, Skoug, and Storvick (1998) for the standard Wiener process.…”
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Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy by Xiuzhi Xing, Jingzhu Wu, Xianguo Geng

“…Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then, its super Hamiltonian structures were established by using super trace identity. …”
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Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems by Paul Bracken

“…They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of , , and . Each will be considered in turn and the latter two systems represent larger cases. …”
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Separable functors in corings by J. Gómez-Torrecillas

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Asymptotic invariants of lattices in locally compact groups by Carderi, Alessandro

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Odd Jacobi Manifolds and Loday-Poisson Brackets by Andrew James Bruce

“…We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. …”
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Conjugacy Separability of Some One-Relator Groups by D. Tieudjo, D. I. Moldavanskii

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Szegő projections for hardy spaces of monogenic functions and applications by Swanhild Bernstein, Loredana Lanzani

“…As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L2, Clifford algebra-valued, boundary datum.…”
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A logical model of HCP by Anatoly D. Plotnikov

“…For an arbitrary undirected graph G, we are designing a logical model for the Hamiltonian Cycle Problem (HCP), using tools of Boolean algebra only. The obtained model is a logic formulation of the conditions for the existence of the Hamiltonian cycle, and uses m Boolean variables, where m is the number of the edges of a graph. …”
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Quantum relativistic Toda chain by G. Pronko, Sergei Sergeev

“…Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. …”
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