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Group theory based at any point
Published 2001-01-01“…In this paper, we aim to release the present day group theory which is based at e, by replacing e by an arbitrary element of the group.…”
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Symmetry and Group Theory and Its Application to Few-Body Physics
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Reference group theory with implications for information studies: a theoretical essay
Published 2001-01-01Subjects: “…reference group theory…”
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Two-Group Theory of the Feynman-Alpha Method for Reactivity Measurement in ADS
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A Group Theory Approach towards Some Rational Difference Equations
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Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Published 2024-11-01Subjects: “…Group theory…”
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Structured Dynamics in the Algorithmic Agent
Published 2025-01-01“…We first formalize the notion of a <i>generative model</i> using the language of symmetry from group theory, specifically employing Lie pseudogroups to describe the continuous transformations that characterize invariance in natural data. …”
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Some Results on Neutrosophic Group
Published 2023-01-01“…We also present a similar application to the fundamentals of group theory. We define and study the so-called level subgroups of a neutrosophic subgroup in order to characterize neutrosophic subgroups of finite cyclic groups in a similar way.…”
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Positive Psychotherapy tools in groups
Published 2025-01-01“… In Positive group therapy, certain tools can be used to moderate and guide the process and interactions, directing them toward specific topics: the use of stories and proverbs as narrative tools; visualization tools like the four areas of body, achievement, contact, and fantasy application in groups; actual capacities to describe group processes and interaction pattern; the group process as a matter of treatment, connotation and contents; positive group psychotherapy moderated in a five steps process; positive group theory to understand the internal and external group dynamics will be presented; sociodynamics and psychodynamic descriptions of the upcoming dynamic in groups.…”
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Renormalization group analysis for thermal turbulence
Published 1997-01-01“…Renormalization group theory is applied to thermal turbulence. Turbulent fluxes for the flow are accounted for by repeatedly recasting the governing equations with the smallest scales represented by effective larger scales. …”
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Linearization: Geometric, Complex, and Conditional
Published 2012-01-01“…Here, first the original work of Lie (and the early developments on it), and then more recent developments based on geometry and complex analysis, apart from Lie’s own method of algebra (namely, Lie group theory), are reviewed. It is relevant to mention that much of the work is not linearization but uses the base of linearization.…”
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Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control
Published 2024-08-01“…Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.…”
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INSECURITY IN NIGERIA: ITS IMPLICATIONS FOR THE EDUCATION SECTOR
Published 2023-08-01“…The study adopted the group theory as theoretical framework and the qualitative research analysis method. …”
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Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid
Published 2012-01-01“…The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. …”
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Classification Formula and Generation Algorithm of Cycle Decomposition Expression for Dihedral Groups
Published 2013-01-01“…It includes the reflection and rotation conversion, which derived six common formulae on cycle decomposition expressions of group; it designed the generation algorithm on the cycle decomposition expressions of group, which is based on the method of replacement conversion and the classification formula; algorithm analysis and the results of the process show that the generation algorithm which is based on the classification formula is outperformed by the general algorithm which is based on replacement conversion; it has great significance to solve the enumeration of the necklace combinational scheme, especially the structural problems of combinational scheme, by using group theory and computer.…”
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The Principle of Mathematical Induction: Applications in Physical Optics
Published 2022-01-01“…In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number theory, graph theory, group theory, game theory, linear algebra, logic, and combinatorics. …”
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Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation
Published 2020-01-01“…This paper proposes to present a novel method of generating cryptographic dynamic substitution-boxes, which makes use of the combined effect of discrete hyperchaos mapping and algebraic group theory. Firstly, an improved 2D hyperchaotic map is proposed, which consists of better dynamical behaviour in terms of large Lyapunov exponents, excellent bifurcation, phase attractor, high entropy, and unpredictability. …”
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On ∼n Notion of Conjugacy in Some Classes of Epigroups
Published 2024-01-01“…The action of any group on itself by conjugation and the corresponding conjugacy relation plays an important role in group theory. Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup theorists had produced substantial amount of research in this direction. …”
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Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Published 2020-01-01“…The formalism is based on the noncommutative structure of the star product, and using the group theory approach as a guide a physically consistent theory is constructed in phase space. …”
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