Results 61 to 70 of about 236,452 (310)

Geometric algebra and M-theory compactifications [PDF]

open access: yes, 2013
We show how supersymmetry conditions for flux compactifications of supergravity and string theory can be described in terms of a flat subalgebra of the Kahler-Atiyah algebra of the compactification space, a description which has wide-ranging applications.
Babalic, Elena-Mirela   +1 more
core  

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

Clifford's Algebraic Approach in Determining the Direction of Qibla

open access: yesNoumerico
While classical methods and hisab methods based on spherical trigonometry and vector algebra are commonly used, this article introduces a more elegant, purely geometric alternative using Clifford Algebra (within the framework of Geometric Algebra).
Muhamad Imam Mutamaqin   +1 more
doaj   +1 more source

Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

open access: yesMathematics, 2021
This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya   +4 more
doaj   +1 more source

Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras

open access: yesNonlinear Analysis
In a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
doaj   +1 more source

Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra

open access: yesPhysical Review Physics Education Research, 2019
Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith   +2 more
doaj   +1 more source

Geometrically Reductive Hopf Algebras

open access: yesJournal of Algebra, 1992
The authors define the notion of geometric reductivity for arbitrary commutative Hopf algebras \(C\) as follows: for every comodule \(M\) and every comodule homomorphism \(\lambda \in M^*\) there is a symmetric power \(r\) such that \(S^ r(\lambda)\) does not vanish on \(S^ r(M)^ C\), the invariants of the \(r\)-th symmetric power of \(M\).
Borsari, Heloisa, Santos, Walter Ferrer
openaire   +1 more source

Robotic Arm‐Assisted Conformal 3D Printing of Displays for Structural Electronics

open access: yesAdvanced Intelligent Systems, EarlyView.
This study presents a robotics‐enabled platform combining 3D scanning and a 6‐DOF robotic arm for conformal printing on complex non‐planar structures. By maintaining nozzle perpendicularity, the system enables high‐fidelity direct ink writing on steep sidewalls, spherical surfaces, successfully demonstrating a fully printed 7‐segment dynamic display ...
Chanbin Yoo   +5 more
wiley   +1 more source

Non-geometric Kaluza-Klein monopoles and magnetic duals of M-theory R-flux backgrounds

open access: yesJournal of High Energy Physics, 2017
We introduce a magnetic analogue of the seven-dimensional nonassociative octonionic R-flux algebra that describes the phase space of M2-branes in four-dimensional locally non-geometric M-theory backgrounds.
Dieter Lüst   +2 more
doaj   +1 more source

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