Newton - Science topic

In this paper, we study the graph theoretical polynomial known as the Hosoya polynomial obtained from one of the standard classes of graphs called path. Using this polynomial applied for the numerical solution of the nonlinear Fredholm integral equation, which reduces in the algebraic system of equation with collocation points, then solving this sy...

We develop a modulus-based framework to solve weighted horizontal linear complementarity problems (WHLCPs). First, we reformulate the WHLCP as a modulus-based system whose solution, in general, is not unique. We characterize the solutions by discussing their sign pattern and how they are linked to one another. After this analysis, we exploit the mo...

We frame Newton’s law of cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse–Carrot theorem, and reveals novel instances of asymmetric relaxations in endoreversible processes. We present a general criterion for predicting asymmetries using the Amari–Chentsov t...

We consider a non-isothermal compositional gas liquid model for the simulation of well operations in geothermal processes. The model accounts for phase transitions assumed to be at thermodynamical equilibrium and is based on a hydrodynamical Drift Flux Model (DFM) combined with a No Pressure Wave approximation of the momentum equation. The focus of...

In the Einstein's theory of special relativity, the relativistic mechanics is concerned with the motion of bodies whose velocities approach the speed of light. It is understood the velocity of a moving particle with non-zero mass is always less than the speed of light with zero mass. So, the speed of light is the upper limit for all moving objects...

In this paper, we extend the results of Grantcharov and Robitaille in 2021 on mixed tensor products and Capelli determinants to the superalgebra setting. Specifically, we construct a family of superalgebra homomorphisms \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{ams...

In the present article, a shifted Legendre–Gauss–Lobatto collocation method (SLGLCM) is introduced to derive an approximate solution for a three‐dimensional time‐space fractional order reaction–advection–diffusion equation (3D‐TSFRADE) with initial and boundary conditions. The proposed method involves reducing the 3D‐TSFRADE into a system of algebr...

The erroneousness of the modern interpretation of the Einstein’s theory of gravity is shown. This interpretation does not prevent the theory from describing all existing experiments with the highest accuracy. But the idea of the “gravitational field” is a misconception. The gravitation field does not exist, and the gravitational force is the force...

The simplified calculation methods for predicting the longitudinal deformation of neighboring existing tunnels caused by deep foundation excavation in engineering practice all use linear foundation model to interact with tunnel structure, and less use of nonlinear foundation model of soil body. The nonlinear Pasternak foundation model is combined w...

We introduce Unified Flow Theory (UFT), a novel approach to quantum gravity that proposes an energy-dependent gravitational suppression mechanism. In this framework, unified gravitational corrections fade at high energies, dynamically recovering classical General Relativity (GR) in a self-consistent manner. This suppression follows a universal scal...

In this work, weighted Newton-type inequalities (WN-TI) for multiple classes of functions by employing generalized proportional fractional (GPF) integrals are established. The core step involves establishing a key integral identity under a positive weighting scheme, which underlies all subsequent results. By integrating this identity with GPF opera...

Background Over 300,000 colorectal surgeries are performed annually in the U.S. with up to 10% complicated by anastomotic leaks, which cause significant morbidity and mortality. Despite its significant association with anastomotic leaks, tension is predominantly assessed intraoperatively using subjective metrics. This study aims to assess the feasi...

Old and new tensor formats: CP/Tucker-MPS/TT/QTT-RS ▶ Chemometrics, PCA, signal processing, speech separation:-Canonical/polyadic (CP) tensors (rank-R representation in R d) [Hitchcock '27].-Orthogonal Tucker decomposition (d-dimensional truncated SVD) [Tucker '66] ▶ Quantum chemistry/physics, quantum information theory:-Matrix product states (MPS,...

We study the boson star solutions in a theory involving a complex scalar field in a conical scalar field potential: V(|Φ|):=2λ|Φ| in the presence of non-minimal gravity given by the term: (ξR|Φ|2) in the action, where ξ is a constant parameter that couples the complex scalar field Φ with the Ricci scalar R and is treated, in our work, as a free par...

In this work, we develop a cut-based unfitted finite element formulation for solving nonlinear, nonstationary fluid-structure interaction with contact in Eulerian coordinates. In the Eulerian description fluid flow modeled by the incompressible Navier-Stokes equations remains in Eulerian coordinates, while elastic solids are transformed from Lagran...

The forward kinematics of the Stewart platform is crucial for precise control and reliable operation in six-degree-of-freedom motion. However, there are some shortcomings in practical applications, such as calculation precision, computational efficiency, the capacity to resolve singular Jacobian matrix and real-time predictive performance. To overc...

Background Intensive care unit-acquired weakness (ICU-Aw) is a prevalent complication in critically ill patients, affecting both limb and respiratory muscles, individually or concurrently. The precise mechanisms by which muscle weakness influences the distinct functional roles of each muscle group remain to be fully elucidated. The objective of thi...

Bu çalışma, verniklenmiş ahşap lavabo ve küvetlerde uzun ve kısa süreli yaşlandırma işleminin verniklerin yüzeye yapışma ve sertlik değerine etkilerini belirlemek amacı ile yapılmıştır. Bu maksatla sapsız meşe ve irokodan hazırlanan deney örnek yüzeylerine epoksi uygulama sonrası üzerine ASTM D 3023’e göre selülozik ve akrilik vernik atılmıştır. Ha...

O artigo avança uma hipótese interpretativa sobre como a defesa de Isaac Newton da existência absoluta do espaço no manuscrito De gravitatione et aequipondio fluidorum é constituída de duas estratégias fundamentalmente distintas. Em primeiro lugar, o filósofo mostra que a visão relacional do espaço produz consequências metafisicamente negativas, em...

This work concerns the construction and characterization of product kernels for multivariate approximation from a finite set of discrete samples. To this end, we consider composing different component kernels, each acting on a low-dimensional Euclidean space. Due to Aronszajn (Trans. Am. Math. Soc. 68, 337–404 1950), the product of positive semi-de...

We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We show that the characterization of NND ideals via their integral closures known in the analytical setting extends to regular local rings. We use the limiting body $\mathca...

Newton's constant is the least well-measured among the fundamental constants of Nature, and, indeed, its accurate measurement has long served an experimental challenge. Levitated mechanical systems are attracting growing attention for their promising applications in sensing and as an experimental platform for exploring the intersection between quan...

The Earth's gravity field is a fundamental physical field for research and analysis in Earth sciences. However, the limited degree of expansion in the gravity field model introduces truncation errors, which hinder the accurate representation of high-frequency information in Earth's gravity field model. To address this issue, this study refined the...

Quadratically constrained quadratic programming (QCQP) has long been recognized as a computationally challenging problem, particularly in large-scale or high-dimensional settings where solving it directly becomes intractable. The complexity further escalates when a sparsity constraint is involved, giving rise to the problem of sparse QCQP (SQCQP),...

The quantum nature of the gravitational force, expressed by the gravitational quantum (of isolated matter), described in the quantum-mechanical formulation of the theory, is actually manifested when matter recognizes other matter or on itself, generating gravitational vectors and gravitational self-vectors. We thus move from the isolated study of t...

In this paper, we propose an adaptive finite difference scheme in order to numerically solve total variation type problems for image processing tasks. The automatic generation of the grid relies on indicators derived from a local estimation of the primal-dual gap error. This process leads in general to a non-uniform grid for which we introduce an a...

In modern optical communication networks, traditional wavelength control technologies face limitations such as temperature sensitivity and complex mechanical structures. A wavelength locking scheme for V-cavity tunable laser optical modules with a transmission rate of 25Gbps is proposed in this paper. By integrating a monitoring photodiode (MPD) wi...

In this paper, we develop a numerical method for the computation of (quasi-)resonances in spherical symmetric heterogeneous Helmholtz problems with piecewise smooth refractive index. Our focus lies in resonances very close to the real axis, which characterize the so-called whispering gallery modes. Our method involves a modal equation incorporating...

The operational calculus associated with Hermite numbers has been shown to be an effective tool for simplifying the study of special functions. Within this context, Hermite polynomials have been viewed as Newton binomials, with the consequent possibility of establishing previously unknown properties. In this article, this method is extended to stud...

Using the metric tensor to define the infinitesimal displacement vector and the kinetic energy, a generalized scalar function (Lagrangian) is given. It is inherently invariant under a change of coordinates. With this scalar function and the Euler-Lagrangian procedure for a conservative system, a generalized dynamic equation of motion in covariant v...

Let us imagine a quark bouncing off the walls of the Casimir Trap similar to how a ball might bounce off the inside of a round room. It was shown by both Newton and Huygens that the force experienced by the object is towards the center and hence is centripetal in nature.

In this paper, we explore the resolution of the twin paradox through the lens of Muhammad Aslam Musakhail's closed fluid dynamic principle, which offers a novel interpretation based on the pre-Einsteinian concept of aether theory. Building on this principle, we develop a mathematical framework that defines the aether force as the difference between...

In the last 175 years, the physical understanding of nature has seen a revolutionary change. Until about 1850, Newton's theory and the mechanical world view derived from it provided the dominant view of the physical world, later supplemented by Maxwell's theory of the electromagnetic field. That approach was entirely deterministic and free of proba...

We propose an sparse Bayesian learning (SBL)-based method that leverages group sparsity and multiple parameterized dictionaries to detect the relevant dictionary entries and estimate their continuous parameters by combining data from multiple independent sensors. In a MIMO multi-radar setup, we demonstrate its effectiveness in jointly detecting and...

Unpacking the complexities of learning processes in science education often requires more than just one analytical framework. Despite the need for such analytical and, by extension, methodological diversity, the science education research literature reveals a scarcity of studies integrating multiple analytical perspectives, thereby possibly overloo...

In the context of holonomic systems, the identification of virtual displacements is clear and consolidated. This provides the possibility, once the class of displacements have been coupled with Newton’s equations, for us to write the correct equations of motion. This method combines the d’Alembert principle with Lagrange formalism. As far as nonhol...

Stunting merupakan salah satu permasalahan kesehatan yang masih terjadi di Kalimantan Timur. Angka prevalensi stunting di Kalimantan Timur 23,9 persen pada tahun 2022, lebih tinggi dari prevalensi stunting nasional, yaitu 21,6 persen. Pemerintah Kalimantan Timur telah menargetkan bahwa pada tahun 2024, prevalensi stunting di Kalimantan Timur turun...

This research studies the fracture resistance of a non-ferrule endodontically treated tooth restored with two types of resin matrix ceramic (Enamic and Cerasmart) post and core compared with the conventional prefabricated fiber-reinforced composite (FRC) post and core. Thirty single-root-canal premolars were sectioned to 13 mm root length and then...

The representations of Coulomb's law and Newton's law of gravitation in the form of entanglement of charges or bodiesrespectively are given.

Newtons definition of force hides a hidden secret? But this is only the case if this secret has never been discussed in the literature before. m(t) gives the effective value me (root time mean squareof m(t)). Same to rG (root time mean square from r(t), generating wave function). The new result: Spin=me*c*rG=1/2*h_bar from GR+TD reconciles Spin de...

In this paper, we consider the computational protein design (CPD) problem, which is usually modeled as 0/1 programming and is extremely challenging due to its combinatorial properties. As a quadratic semi-assignment problem (QSAP), the CPD problem has been proved to be equivalent to its continuous relaxation problem (RQSAP), in terms of sharing the...

Addressing the dual challenges of high computational complexity in traditional algorithms and spectral leakage in discrete Fourier transform (DFT)-based methods for single-snapshot direction of arrival (DOA) estimation in massive uniform linear array (ULA), this study proposes a rapid, high-accuracy DOA estimation algorithm that leverages the enhan...

First, it is shown that Einstein's attempt to establish the relativity of simultaneity is simply incorrect, as he tries to arbitrarily redefine simultaneity, while either ignoring or not recognizing its frame-independence. Next, it is shown that Einstein's attempt to render space and time relative by applying Lorentz transformations is incompatible...

In this paper, we propose new linearly convergent second-order methods for minimizing convex quartic polynomials. This framework is applied for designing optimization schemes, which can solve general convex problems satisfying a new condition of quartic regularity. It assumes positive definiteness and boundedness of the fourth derivative of the obj...

Dynamical low-rank approximation allows for solving large-scale matrix differential equations (MDEs) with significantly fewer degrees of freedom and has been applied to a growing number of applications. However, most existing techniques rely on explicit time integration schemes. In this work, we introduce a cost-effective Newton’s method for the im...

In this work, we develop first-order (Hessian-free) and zeroth-order (derivative-free) implementations of the Cubically Regularized Newton Method for solving general non-convex optimization problems. For that, we employ finite difference approximations of the derivatives. We use a special adaptive search procedure in our algorithms, which simultane...

For a rational function $R$, let $N_R(z)=z-\frac{R(z)}{R'(z)}.$ Any such $N_R$ is referred to as a Newton map. We determine all the rational functions $R$ for which $N_R$ has exactly two attracting fixed points, one of which is an exceptional point. Further, if all the repelling fixed points of any such Newton map are with multiplier $2$, or the mu...

This course, designed for Master 1 students specializing in Quantitative Economics and taught by Dr. Fatih CHELLAI, provides a comprehensive introduction to optimization, a fundamental discipline in applied mathematics and economics. Optimization focuses on finding the best solutions to problems involving constraints and objectives, playing a criti...

This paper investigates why gravitational mass is equal to inertial mass, which has been considered a cornerstone of modern physics and is somehow mysterious. By examining how the concept of mass arose, we show that gravitational mass is equal to inertial mass because there is only one mass, the inertial mass, which is operationally measurable for...

FOREWORD I am Dezso Sarkadi, a physicist, I live in Hungary. I would have had the opportunity to work in a Hungarian physics research institute, but I wanted to follow my path in research. I spent most of my life as a safety inspector at the first Hungarian nuclear power plant. During my university years (1967-1972), I had many questions about the...

We discuss how to formulate and understand contradiction. After emphasizing the importance of a correct formulation for a notion as important as the notion of contradiction, we present a variety of formulations of the proposition corresponding to “p and ¬p”, which is often considered as expressing contradiction. We then discuss the standard example...

The Entropic Force-Field Hypothesis (EFFH) presents a groundbreaking view on entropy, elevating it from a passive thermodynamic quantity to a key driver of physical processes. By introducing logarithmic corrections and the Entropic Time Limit (ETL), the hypothesis aims to bridge the gaps between thermodynamics, quantum mechanics, and gravity, poten...

In [19], the authors give minimal embedded toric resolutions of ADE-singularities in C^3 by constructing regular refinements of their dual Newton polyhedrons with the elements of their embedded valuation sets derived from the jet schemes constructed in [18]. On the other hand in [1] and [2], the authors represent the Gr\"obner fan of a Newton non-d...

Rheological complex models of various elastoviscous and viscoelastic fractional-type substances with polarized piezoelectric properties are of interest due to the widespread use of viscoelastic–plastic bodies under loading. The word “overview” used in the title means and corresponds to the content of the manuscript and aims to emphasize that it pre...

In this work, we propose a new efficient iterative method to find multiple roots of nonlinear equations with unknown multiplicity n. The new scheme is free from the second derivative and consists of three steps derived from Enhanced Halley’s method introduced by the contributors and a Newton step. To increase efficiency, the first derivatives were...

The dual mesh control domain method (DMCDM) is applied, in conjunction with the reduced integration penalty formulation, to solve transient isochoric flow problems of Newtonian fluids, particularly at high Reynolds numbers. The DMCDM is a physically more intuitive method in that the global conservation laws are directly used (akin to the finite vol...

This paper introduces a novel and innovative iterative methodology that not only transforms arbitrary iterative schemes into an efficient framework but also redefines the process of simultaneous root approximation for polynomials and nonlinear equations. The proposed methods are distinguished by their exceptional convergence orders, achieving up to...

We consider the system of elastic waves with critical space dependent damping $V(x)$. We study the Cauchy problem for this model in the $2$-dimensional Euclidean space ${\bf R}^{2}$, and we obtain faster decay rates of the total energy as time goes to infinity. In the $2$-D case we do not have any suitable Hardy type inequality, so generally one ha...

Preconditioning is essential in iterative methods for solving linear systems. It is also the implicit objective in updating approximations of Jacobians in optimization methods, e.g., in quasi-Newton methods. We study a nonclassic matrix condition number, the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfont...

We explore the capability of physics-informed neural networks (PINNs) to discover multiple solutions. Many real-world phenomena governed by nonlinear differential equations (DEs), such as fluid flow, exhibit multiple solutions under the same conditions, yet capturing this solution multiplicity remains a significant challenge. A key difficulty is gi...

The global prevalence of diabetes, a chronic condition that disrupts glucose homeostasis, is rapidly increasing. Patients with diabetes face heightened challenges due to the COVID-19 pandemic, which exacerbates symptoms associated with the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection. In this study, we developed a mathemat...

The correspondence principle states that classical mechanics emerges from quantum mechanics in the appropriate limits. However, beyond this heuristic rule, an information-theoretic perspective reveals that classical mechanics is a compressed, lower-information representation of quantum reality. Quantum mechanics encodes significantly more informati...

O artigo “As raízes sociais e econômicas dos Principia de Newton”, apresentado pelo físico soviético Boris Hessen (1893-1936) no II Congresso Internacional de História da Ciência e da Tecnologia (1931), em Londres, inaugurou na História da Ciência a linha interpretativa conhecida como externalismo, ao aplicar o materialismo dialético para interpret...

Ao abordarmos assuntos sobre a Física é natural pensarmos no nome de importantes cientistas, tais como: Isaac Newton, Albert Einstein, Stephen Hawking, dentre outros físicos. Porém, pouco se comenta sobre físicos brasileiros, como César Lattes, e sobre a ciência nacional. Desse modo, considerando as contribuições deste cientista para o desenvolvime...

First formulated by Sir Isaac Newton in his work "Philosophiae Naturalis Principia Mathematica", the concept of the Three-Body Problem was put forth as a study of the motion of the three celestial bodies within the Earth-Sun-Moon system. In a generalized definition, it seeks to predict the motion for an isolated system composed of three point masse...

q-Breathers (QBs) represent a quintessential phenomenon of energy localization, manifesting as stable periodic orbits exponentially localized in normal mode space. Their existence can hinder the thermalization process in nonlinear lattices. In this work, we employ the Newton’s method to identify QB solutions in the diatomic Fermi–Pasta–Ulam–Tsingou...

In a mean-field approximation within Kinetic Field Theory, it is possible to derive an accurate analytic expression for the power spectrum of present-day non-linear cosmic density fluctuations. It depends on the theory of gravity and the cosmological model via the expansion function of the background space-time, the growth factor derived from it, a...

Newton's law of gravity can be modified so that it explicitly depends on the speed.

In this study, we utilize the innovative fractal-fractional operator in the Atangana–Baleanu sense to analyze the co-infection dynamics of monkeypox and HIV. Our model integrates key interactions influencing disease transmission and rigorously examines essential mathematical properties. We determine the fundamental reproduction number \documentclas...

In a previous Letter, we showed that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. In this paper, we provide further details on the physics of these additional degrees of freedom, whose commutation rel...

Different heat transfer mechanisms are often presented to students only in an expositive way, lacking experimental demonstrations. Using the common situation of the cooling of a coffee cup, a series of practical activities are here proposed that require simple, accessible, and inexpensive equipment. Emphasis is placed on the effect of forced convec...

The voltage–current characteristics of solar cell models, regardless of the equivalent circuits used, are nonlinear functions that can be mathematically represented by the g-function. Computational modeling plays a key role in solving such complex functions, enabling accurate simulations and efficient solutions that are essential for optimizing sol...

Kepler’s equation is a famous old statement in orbital mechanics that relates mean anomaly with the eccentricity and eccentric anomaly. Developed by Johannes Kepler in 1609, this formula has been in the minds of many giants throughout history, including Newton, Gauss, Lagrange, Laplace, and even Cauchy, not to mention Kepler himself. What this shor...

Reminiscent of physical phase transition separatrices divides the phase space of dynamical systems with multiple equilibria into regions of distinct flow behavior and asymptotics. We introduce complex time in order to study corresponding Riemann surface solutions of holomorphic and meromorphic flows, explicitly solve their sensitivity differential...

This study proposes a novel time-synchronization protocol inspired by stochastic gradient algorithms. The clock model of each network node in this synchronizer is configured as a generic adaptive filter where different stochastic gradient algorithms can be adopted for adaptive clock frequency adjustments. The study analyzes the pairwise synchroniza...

In this paper, we rigorously derive the fundamental PDEs of fluid mechanics, such as the compressible Euler and incompressible Navier-Stokes-Fourier equations, starting from the hard sphere particle systems undergoing elastic collisions. This resolves Hilbert's sixth problem, as it pertains to the program of deriving the fluid equations from Newton...

The generalized Newton shift is a generalization of the Newton shift for computing the singular values of a bidiagonal matrix with the dqds or mdLVs algorithm and is defined as $$\left( \textrm{Tr}\left( \left( B^{(n)}\right) ^{\top } B^{(n)}\right) ^{-p}\right) ^{-1/p}$$ Tr B ( n ) ⊤ B ( n ) - p - 1 / p , where $$B^{(n)}$$ B ( n ) is the bidiagona...

Using the Newton polytope and polyhedron, we study analytic spread and ideal reductions of monomial ideals. We determine a bound for analytic spread based on halfspaces and hyperplanes of the Newton polytope, and we classify basic monomial ideals. We then apply this method to calculate the analytic spread for a few families of monomial ideals.

We present a set of mathematical properties that are very simple notwithstanding these properties are hidden in the literature, considering the Euler case of collinear motion of three bodies, including simple mathematical properties enabling the non-specialists to become very familiar with this classical pearl of the mechanics of the three body pro...

Trigonometric functions are widely used to express relationships between the sides and angles of triangles, being fundamental in a wide variety of fields in science and engineering. Previous research indicates that the Gudermann function connects hyperbolic and trigonometric functions without requiring complex numbers, while the Mercator projection...

This article explores the dynamics-first perspective in physics, where "metaphysical structures" such as coordinate systems arise from dynamics rather than the other way around-retaining however inertial structure of spacetime as the fundamental basis for explaining physical phenomena and deserving a dynamics second perspective. Focusing on three k...

This essay explores the evolution of Black identity through the lens of political activism and contemporary theoretical frameworks. By analyzing the contributions of Robert and Mabel Williams and Huey P. Newton of the Black Panther Party (BPP), our analysis delves into how resistance and cultural production have shaped the discourse on Black identi...

We present an exact black hole solution surrounded by massive vector fields predicted by Kaluza-Klein (KK) gravity. KK gravity in four dimensions (4D) is of particular interest, as it predicts a tower of particle states, including gravitons with spin-0 and spin-1 components, in addition to the massless spin-2 gravitons of general relativity. The ex...

p class="Default">This research presents the development of an instrumentation system that employs ultrasonic sensors for Newton dynamometer applications. A key parameter measured is the change in spring length before and after loading. The methodology implemented in this study is based on Hooke's Law, applied within the instrumentation devices. Th...

INTRODUÇÃO Segundo Floris Cohen (1994) o termo revolução científica moderna foi criado em 1931 por Alexander Koyré (1892-1964) que defendia a existência de uma ruptura e, consequentemente a descontinuidade entre a tradição, representada pelo conceito de impetus e a compreensão do movimento dos corpos como pressupunham Galileu Galilei e René Descart...

A specialized high-precision numerical search for equal-mass collisionless three-body periodic free-fall orbits with central symmetry is conducted. The search is based on Newton's method with initial approximations obtained by the grid-search method. Instead of solving the standard periodicity equation on the entire period a quarter-period equation...

The first part of this article is the biography of a drinking vessel. The authors examine evidence that a wooden flagon that Newton is on record as giving to his Trinity College, Cambridge chamber-fellow John Wickins survives intact to the present day. This evidence includes Newton’s friendship with Wickins, a re-creation of six generations of the...

Introduction Partial Weight Bearing (PWB) is integral to rehabilitation protocols following orthopedic and trauma surgeries. Standard of Care (SOC) for PWB training often involves using a bathroom scale, a method criticized for its inaccuracy. This study aimed to compare SOC training in PWB with a biofeedback device (insole). Methods Sixty healthy...

We have shown electro-magnetic fields to evolve from basic positional patterns of the etalon collection. The relative miscalibration of the electro-magnetic fields relative to each other brings forth an axiomatic right-hand screwdriver rule. There are common axes that allow construct two rectangular spaces which we call Euclid spaces. There are 4 e...

In this paper we study the simultaneous reconstruction of two coefficients in a reaction-subdiffusion equation, namely a nonlinearity and a space dependent factor. The fact that these are coupled in a multiplicative matter makes the reconstruction particularly challenging. Several situations of overposed data are considered: boundary observations o...

Motivated both by classical physics problems associated with ``Newton's bucket'' and recent developments related to QCD in rotating frames of reference relevant to heavy ion collisions, we discuss the difference between ``active'' and ``passive'' rotations in quantum systems. We examine some relevant potentials and give general symmetry arguments t...

The free energy principle (FEP), along with the associated constructs of Markov blankets and ontological potentials, have recently been presented as the core components of a generalized modeling method capable of mathematically describing arbitrary objects that persist in random dynamical systems; that is, a mathematical theory of ``every'' ``thing...

Real-time pricing is an ideal pricing mechanism for regulating the balance of power supply and demand in smart grid. Considering the differences in electricity consumption risks among different types of users, a social welfare maximization model with user risk classification is proposed in this paper. Also, a smoothing Newton method is investigated...

Most students need help understanding physics material, especially Newton's laws. This is due to the thought that physics material is complex and requires memorizing formulas. This study aims to make it easier for students to understand physics material through Scientific-Based Textbooks. The research method uses research and development, which is...

Focusing on a specific interaction between physics and economics, this study delves into the realm of econophysics and investigates the birth, evolution, and practical applications of this interdisciplinary field. This study explores the influence of Newton’s laws, the concept of gravity, and, more generally, mechanical physics on the development o...

When soft matter is driven out of equilibrium its constituents interact via effective interactions that escape Newton's action-reaction principle. Prominent examples include the hydrodynamic interactions between colloidal particles driven in viscous fluids, phoretic interactions between chemically active colloids, and quorum sensing interactions in...

Linear elasticity comprises the fundamental branch of continuum mechanics that is extensively used in modern structural analysis and engineering design. In view of this concept, the displacement field provides a measure of how solid materials deform and become internally stressed due to prescribed loading conditions, a fact which is associated with...

General type-2 fuzzy logic systems (GT2 FLSs) based on the \(\alpha\)-planes representation of general T2 fuzzy sets (FSs) have become more accessible to FL investigators in recent years. Type reduction (TR) is the most important block for GT2 FLSs. Here the weighted type-reduction algorithms based on the Newton and Cotes quadrature formulas of num...