Results 51 to 60 of about 7,736 (267)
Gauge-invariant theories and higher-degree forms
Journal of High Energy Physics, 2021 A free differential algebra is generalization of a Lie algebra in which the mathematical structure is extended by including of new Maurer-Cartan equations for higher-degree differential forms.
S. Salgado
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
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Equivalent Lagrangians: Generalization, Transformation Maps, and Applications
Journal of Applied Mathematics, 2012 Equivalent Lagrangians are used to find, via transformations, solutions and conservation laws of a given differential equation by exploiting the possible existence of an isomorphic algebra of Lie point symmetries and, more particularly, an isomorphic ...
N. Wilson, A. H. Kara
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Differentially Homogeneous Algebras
Journal of Algebra, 1999 Let \(k\) be a ring and let \(A\) be a flat finitely generated \(k\)-algebra. The \(k\)-algebra \(A\) is said to be differentially homogeneous when the \(A\)-modules of jets \(J_{A/k}^r=(A\otimes_kA)/\Delta^{r+1}\) are projective for any \(r\geq 0\), where \(\Delta\) stands for the diagonal ideal.
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Analysis in Differential Algebras and Modules [PDF]
Theoretical and Mathematical Physics, 2018 A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.
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Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
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On q-deformed infinite-dimensional n-algebra
Nuclear Physics B, 2016 The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro–Witt algebra, we derive a nontrivial q-deformed Virasoro–Witt n-algebra which is nothing but a sh-n-Lie algebra.
Lu Ding +4 more
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