113 Results Found

In this paper, (1) We show that if there are not enough symmetries and $\lambda$-symmetries, some first integrals can still be obtained. And we give two examples to illustrate this theorem. (2) We prove that when X is a $\lambda$-symmetry of differenti...

On one hand, we construct λ-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present μ-symmetries for a (2+1)-dimensional diffusion equati...

The Higgs mechanism, as responsible for the first inflation, powers the initial accelerated expansion and further preheating via the symmetry breaking from its false vacuum state corresponding to the Sitter vacuum of the GUT scale with $\Lambda =8\pi$...

The temperature dependencies of the in-plane (${\lambda }_{ab}$) and out-of-plane (${\lambda }_c$) components of the magnetic field penetration depth were investigated near the surface and in the bulk of the electron-doped superconductor Sr${}_{0.9}$La${}_{0.1}$CuO${}_2$ by means...

We propose a new hierarchy of the vector derivative nonlinear Schrödinger equations and consider the simplest multiphase solutions of this hierarchy. The study of the simplest solutions of these equations led to the following results. First, the...

As a test of the time symmetry of forbidden-line emission processes, we measured the [OIII]$\lambda \lambda$4959 and 5007 emission lines of more than 12,000 galaxies from the Sloan Digital Sky Survey DR8 to examine the [OIII]$\lambda \lambda$4959,5007...

In this paper, we introduce new subclasses ${\mathfrak{R}}_{\mathsf{\Sigma },b,c}^{\mu ,\alpha }\left(\lambda ,\delta ,\tau ,\mathsf{\Phi }\right)$ and ${\mathfrak{K}}_{\mathsf{\Sigma },b,c}^{\mu ,\alpha }\left(\lambda ,\delta ,\eta ,\mathsf{\Phi }\right)$ of bi-univalent functions in the open unit disk U by using quasi-subordination conditions and determine estimates of the coefficients $\left|a_2\right|$ and $\left|a_3\right|$ for functions of these su...

The Skyrme force parameters can be uniquely determined by coarse graining the Nucleon-Nucleon (NN) interactions at a characteristic momentum scale. We show how exact $V_{\mathrm{lowk}}$ potentials to second order in momenta are saturated with physical N...

Notoriously, the two main problems of the standard $\mathsf{\Lambda }$CDM model of cosmology are the cosmological constant $\mathsf{\Lambda }$ and the cold dark matter, CDM. This essay shows that both the $\mathsf{\Lambda }$ and the CDM arise as integration constants in a careful derivation of Einstein’...

In this paper, we investigate several fuzzy differential subordinations that are connected with the Borel distribution series $\mathcal{B}\left(\lambda ,\alpha ,\beta \right)\left(z\right)$ of the Mittag-Leffler type, which involves the two-parameter Mittag-Leffler function $E_{\alpha ,\beta }\left(z\right)$. Using the above-ment...

We propose and develop a unified framework for Weyl-type symmetry in von Neumann algebras. Motivated by recent automorphism-rigidity phenomena that identify finite Weyl groups inside automorphism groups of crossed products arising from lattice action...

This research work focuses on $\lambda$-Szász–Mirakjan operators coupling generalized beta function. The kernel functions used in $\lambda$-Szász operators often possess even or odd symmetry. This symmetry influences the behavior of the operator in terms of approxim...

The S-λ model is one of the most useful tools for shape designs and geometric representations in computer-aided geometric design (CAGD), which is due to its good geometric properties such as symmetry, shape adjustable property. With the aim to...

This paper investigates the decomposition of the $\lambda$-fold complete 3-uniform hypergraph $\lambda K_{\nu }^{\left(3\right)}$ into 4-cycles, denoted as $S_{\lambda }(3,{\mathrm{\Gamma }}_{5,1},v)$. Using the ${\mathrm{\Gamma }}_{5,1}$-structure as a model, we develop recursive construction techniques...

Based upon the Pascal distribution series ${\mathcal{N}}_{q,\lambda }^{r,m}\mathsf{{\rm Y}}\left(\zeta \right):=\zeta +{\displaystyle \sum _{j=m+1}^{\infty }}\left(\genfrac{}{}{0pt}{}{j+r-2}{r-1}\right)\left[1+\lambda (j-1)\right]q^{j-1}{(1-q)}^r{a}_j{\zeta }^j$, we can obtain a set of fuzzy differential subordinations in this investigatio...

In this article, we adopt two kinds of loop algebras corresponding to the Lie algebra $B(0,1)$ to introduce two line spectral problems with different numbers of even and odd superfunctions. Through generalizing the time evolution ${\lambda }_t$ to a polynomial of...

Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type $\lambda$-Changhee polynomials (2VG...

This paper investigates the symmetry breaking between the polarizations of $\mathrm{\Lambda }$ and $\overline{\mathrm{\Lambda }}$ hyperons in relativistic collisions of heavy ions at intermediate and low energies. The microscopic transport model UrQMD is employed to study the thermal vorticity o...

The S-λ Curves have become an important research subject in computer aided geometric design (CAGD), which owes to its good geometric properties (such as affine invariance, symmetry, and locality). This paper presents a new method to approximat...

This paper presents a symmetry-driven broadband circularly polarized magnetoelectric dipole antenna with bandpass filtering response, where the principle of symmetry is strategically employed to enhance both radiation and filtering performance. The a...

Temperature dependence of the magnetic field penetration depth $\lambda$ was calculated for water intercalated sodium cobaltate superconductor Na ${}_x$ CoO ${}_2·y$ H ${}_2$ O. Assuming that the system is in the chiral d+id&nda...

We present a systematic review of thermodynamics of horizons in regular spherically symmetric spacetimes of the Kerr-Schild class, $d{s}^2=g\left(r\right)d{t}^2-g^{-1}\left(r\right)d{r}^2-r^{2}d{\mathsf{\Omega }}^2$ , both asymptotic...

The existence of gravitational radiation arriving at null infinity ${\mathcal{J}}^{+}$, i.e., escaping from the physical system, is addressed in the presence of a non-negative cosmological constant $\mathsf{\Lambda }\ge 0$. The case with vanishing $\mathsf{\Lambda }$ is well understood an...

The recent growth in popularity of the non-Hermitian quantum Hamiltonians $H\left(\lambda \right)$ with real spectra is strongly motivated by the phenomenologically innovative possibility of an access to the non-Hermitian degeneracies called exceptional points (E...

We investigate the gap symmetry of the topological superconductor candidate HfRuP, which crystallizes in a noncentrosymmetric hexagonal crystal structure, using muon spin rotation/relaxation ($\mu$SR) measurements in transverse-field (TF) geometry. Th...

We investigate the plasmonic behavior of a fractal photonic crystal fiber, with Sierpinski-like circular cross-section, and its potential applications for refractive index sensing and multiband polarization filters. Numerical results were obtained us...

Inferences on the location parameter $\lambda$ in location-scale families can be carried out using Studentized statistics, i.e., considering estimators $\tilde{\lambda }$ of $\lambda$ and $\tilde{\delta }$ of the nuisance scale parameter $\delta$, in a statis...

In this study, a new kind of modified $\lambda$-Bernstein-Stancu operators is constructed. Compared with the original $\lambda$-Bézier basis function, the newly operator basis function is more concise in form and has certain symmetry beauty. The...

A graph operator is a mapping $F:\mathsf{\Gamma }\to {\mathsf{\Gamma }}^{\prime }$ , where $\mathsf{\Gamma }$ and ${\mathsf{\Gamma }}^{\prime }$ are families of graphs. The different kinds of graph operators are an important topic in Discrete Mathematics and its applicat...

In this paper, we study a class of nonlocal Schrödinger–Poisson–Slater equations: $-\Delta u+u+\lambda \left(I_{\alpha }\ast {\left|u\right|}^q\right){\left|u\right|}^{q-2}u={\left|u\right|}^{p-2}u$, where $q,p>1$, $\lambda >0$, and $I_{\alpha }$ is the Riesz potential. We obtai...

The results of the experimental research on the symmetry of supersonic flow in a symmetric convergent-divergent nozzle are presented. The investigations were focused on the fact that for some flow conditions the flow in a precisely symmetric nozzle b...

Permanent Magnet Synchronous Motors (PMSMs) have been widely applied across various electrical systems due to their significant advantages, including high power density, high-efficiency conversion, and easy controllability. However, the issue of &lsq...

The standard approach to integrable nonlinear evolution equations (NLEE) usually uses the following steps: (1) Lax representation $[L,M]=0$; (2) construction of fundamental analytic solutions (FAS); (3) reducing the inverse scattering problem (ISP) to...

This study focuses on the impact of the cosmological constant on hyperbolically symmetric matter configurations in a static background. I extend the work of Herrera et al. 2021. and describe the influences of such a repulsive character on a few reali...

The present paper investigates the greybody radiation of a general metric including the significant black hole parameters. The fraction of Hawking radiation (HR) that succeeds in achieving infinity is known as “greybody radiation” or tran...

In order to be able to use methods of universal algebra for investigating posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra (based...

Recent work showed that $\kappa$-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum gravity phenomenology. Starting from the Poincaré algebra of special-relativistic symmetries,...

In this paper, a dual-wavelength narrow-linewidth fiber laser based on parity-time (PT) symmetry theory is proposed and experimentally demonstrated. The PT-symmetric filter system consists of two optical couplers (OCs), four polarization controllers...

In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family ${\mathcal{SW}}_{\Sigma }(\delta ,\gamma ,\lambda ,\mathfrak{s},\mathfrak{t},q,r)$ of normalized holomorphic and bi-univalent functions in the open unit disk $\mathbb{U}$, which are associated with the Bazilevič fun...

This work presents the use of a novel impedance coupling technique and electrical length increase by using stub loading placed from the radiator to the ground plane. This method is applied to the design of a small four-element ultrawideband (UWB) MIM...

This paper studies a perturbative approach for the double sine–Gordon equation. Following this path, we are able to obtain a system of differential equations that shows the amplitude and phase modulation of the approximate solution. In the case λ = 0...

In this paper, we study an atomic chain in the presence of modulated charge potential and modulated Rashba spin-orbit coupling (RSOC) of equal periods. We show that for commensurate periodicities, $\lambda =4n$ with integer n, the three-dime...

In order to treat the degree of belief rationally, Baoding Liu created uncertainty theory. An uncertain variable, as a measurable function from an uncertainty space to the set of real numbers, is a basic concept in uncertainty theory. It is very mean...

Based on Mie scattering theory, fractal theory, the generalized multiparticle Mie model and the attenuated total reflectance infrared spectroscopy method, this paper aimed to explore the influence of different distribution morphologies of semiconduct...

We address the question of thermodynamics of regular cosmological spherically symmetric black holes with the de Sitter center. Space-time is asymptotically de Sitter as r → 0 and as r → ∞. A source term in the Einstein equations connects smoothly two...

In this article, to study the influence of neural networks’ morphology symmetry, a mathematical model is developed that considers dynamic symmetry for diagnosing complex dynamic objects. The developed mathematical model includes the symmetric a...

We propose a new “superpotential” and find that neither the supersymmetric energy conditions nor the associated shape invariance conditions remain valid. On the other hand, a new energy condition $E_n^{+}-E_n^{(-)}=2\lambda$ between th...

In the current study, the characteristics of heat transfer of a steady, two-dimensional, stagnation point, and magnetohydrodynamic (MHD) flow of shear thickening Casson fluid on an exponentially vertical shrinking/stretching surface are examined in a...

The revised Buongiorno’s nanofluid model with the effect of induced magnetic field on steady magnetohydrodynamics (MHD) stagnation-point flow of nanofluid over a stretching or shrinking sheet is investigated. The effects of zero mass flux and s...

The dwell time algorithm is one of the key technologies that determines the accuracy of a workpiece in the field of ultra-precision computer-controlled optical surfacing. Existing algorithms mainly consider meticulous mathematics theory and high conv...