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These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge ...

For each n∈N, we introduce the algebraic semantics for the minimum many-valued modal logic over the MV-chain with n elements. We prove that this quasivariety of algebras is generated by the complex algebras, obtaining ...

Abstract This study evaluates the effectiveness of a gamified interactive educational tool (G-IET) in addressing reversal errors in algebra, a persistent misinterpretation of relational language in comparative word probl...

Background: The transition from arithmetic to algebra remains a persistent challenge in early mathematics education. While structural awareness is widely recognised as foundational to this shift, the developmental mecha...

We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacement‐velocity‐multiplier and to the reduced ...

ABSTRACT The aim of this paper is to establish a new formula of generalized curvature discussed with the help of decomposition theorem which is used to obtain generalized curvature for algebraic curves by using some conc...

RESUMO O ensino de Álgebra tem se restringido a questões técnicas e operacionais, deixando de lado, muitas vezes, o desenvolvimento de conceitos e do pensamento algébrico. Acreditamos que esse enfoque está por trás...

In this paper, we develop a systematic framework for studying fixed-point theory in the setting of normed GE-algebras. Building on the GE-norm, we introduce and analyze nonexpansive mappings, α-averaged mappings, and en...

Abstract There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amou...

The lift generated by a translating wing of known translational speed, lift coefficient and area is calculated by a simple equation. A propeller or rotor generating thrust share the same aerodynamic principles but their ...

Abstract An accurate modeling of materials is essential to obtain reliable results in fields calculation. The Jiles-Atherton approach is widely used for modeling the magnetic hysteresis and depends on its set of five par...

This study develops an innovative framework for the multi-objective optimization of multi-channel supply chains under uncertainty. The framework integrates the D-number model, an extension of Dempster–Shafer Theory (DS...

Determining the quantum-classical boundary between quantum circuits that can be efficiently simulated classically and those that cannot remains a fundamental question. One approach to classical simulation is to represent...

Abstract We demonstrate coherent orbital angular momentum (OAM) generation from chaotic phase screens with discrete integer-valued azimuthal bias. Through Fourier analysis, we prove that coherent OAM amplitude is nonzero...

Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correla...

Abstract In this paper, we investigate the dynamical behaviour and soliton solutions of the M-fractional Kairat-II equation. Initially, soliton solutions are obtained using the new extended direct algebraic method. To en...

Abstract Digital medicine leverages digital biomarkers by algebraically integrating multiple biomarkers to reflect disease status. Colorimetric analysis offers an intuitive readout, but colorimetric-based digital medicin...

Abstract We argue that the polynomial degeneracies of curvature invariants can act as geometric selection rules for spacetime singularities in modified theories of gravity. The degeneracies arise purely from the algebrai...

The main objective of this original research article is to understand the short-term dynamic behavior of the transport-category airplane during landing flare elevator control application. Increasing the pitch angle to ar...

The implementation of the functioning of fractals and fractality for open and holistic systems of physical and mathematical education is substantiated. It is shown that it is thanks to fractality that the synergy of the ...

The main objectives of the study are to develop a new adaptive geometric method for real-time monitoring of industrial electricity consumption schedules to ensure timely detection of structural imbalances and minimizatio...

In this paper, we present the development of a rigid-flexible multibody model which, coupled with an existing aerodynamic model, is used to numerically simulate the non-linear aeroelastic behavior of large horizontal-axi...

In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...

The condition for invariance under a translation of the coordinate system of the Verdet tensor and the Verdet constant, calculated via quantum chemical methods using gaugeless basis sets, is expressed by a vanishing sum ...