A Beurling-Helson type theorem for modulation spaces by Kasso A. Okoudjou

“…A special case of our result involving the Sjöstrand algebra was considered earlier by A. Boulkhemair.…”
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Problem-Solving Skills and Productive Struggle of Students in Solving Mathematical Problems in Elementary School by Rosiana Mufliva, Turmudi Turmudi, Tatang Herman, Sandi Budi Iriawan, Andhin Dyas Fitriani

“…The research is motivated by the need to gain a deeper understanding of students’ mathematical problem-solving abilities, particularly in algebra, and to identify and address the productive struggles the encounter while solving problems. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…In this resulting arithmetic, entropy, cross-entropy, Kullback–Leibler divergence, and Shannon divergence can be expressed without concerning any further conventions. The algebra may form a basis for probability theory more generally.…”
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Analisis Kebutuhan Pengembangan Model Problem Base Learning (PBL) Berbasis Kontekstual untuk Meningkatkan Kemampuan Siswa dalam Menganalisis Konsep by Siti Endang Apriyanti, Andi Mariono, Andi Kristanto, Khusnul Khotimah

“… The urgency or main issue in this study lies in the low problem-solving skills of students, particularly in understanding and solving story problems based on real-life contexts in algebra learning. This study aims to analyze the needs and impact of the contextual Problem-Based Learning (PBL) model on students' ability to analyze mathematical problem concepts. …”
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Strategic Deconfliction of 4D Trajectory and Perturbation Analysis for Air Traffic Control and Automation System by Xinmin Tang, Yu Zhang, Ping Chen, Bo Li, Songchen Han

“…Complexity analysis demonstrated that deconfliction using max-plus algebra is more suitable for deconfliction of 4D trajectory with random sampling period in fix air route.…”
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Toy Models of a Nonassociative Quantum Mechanics by Vladimir Dzhunushaliev

“…The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. …”
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Inequalities Characterizing Linear-Multiplicative Functionals by Włodzimierz Fechner

“…We prove, in an elementary way, that if a nonconstant real-valued mapping defined on a real algebra with a unit satisfies certain inequalities, then it is a linear and multiplicative functional. …”
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Sectional and Ricci Curvature for Three-Dimensional Lie Groups by Gerard Thompson, Giriraj Bhattarai

“…In each case the metric is reduced by using the automorphism group of the associated Lie algebra. In particular, the maximum and minimum values of the sectional curvature function are determined.…”
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Adventures in physics by Poénaru, Valentin

“…Specifically, we showed how the algebra of homotopy groups acted on the dynamics of defects.…”
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Graphs Generated by Measures by A. Assari, M. Rahimi

“…In this paper, a graph is assigned to any probability measure on the σ-algebra of Borel sets of a topological space. Using this construction, it is proved that given any number n (finite or infinite) there exists a nonregular graph such that its clique, chromatic, and dominating number equals n.…”
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Spatial numerical ranges of elements of subalgebras of C0(X) by Sin-Ei Takahasi

“…When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.…”
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Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections by Weiyan Yu, Ran Wang, Chen Zhang

“…Let H be a complex separable Hilbert space and BH be the algebra of all bounded linear operators from H to H. …”
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Editorial by Suporte GEPEM

“… Você tem em mãos o Boletim referente ao segundo semestre de 2010. O corte didático em Álgebra, o Ensino de Cálculo Diferencial e Integral e de Análise, o ensino  de  Função  na  Proposta  Curricular  do  Estado  de  São  Paulo,  os  números relativos,  a  medição  de  ângulos  mediante  dobraduras  em  papel  são  temáticas abordadas pelos articulistas, pesquisadores nacionais e internacionais. …”
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Diagrammatics for Soergel Categories by Ben Elias, Mikhail Khovanov

“…The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.…”
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Relational Demonic Fuzzy Refinement by Fairouz Tchier

“…We use relational algebra to define a refinement fuzzy order called demonic fuzzy refinement and also the associated fuzzy operators which are fuzzy demonic join (⊔fuz), fuzzy demonic meet (⊓fuz), and fuzzy demonic composition (□fuz). …”
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Hilbert Space Representations of Generalized Canonical Commutation Relations by Asao Arai

“…We consider Hilbert space representations of a generalization of canonical commutation relations , where 's are the elements of an algebra with identity , is the imaginary unit, and is a real number with antisymmetry . …”
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On compactness of lattices by Carmen D. Vlad

“…We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). …”
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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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