A novel hybrid polygonal finite element is proposed for simulating the heat conduction in two-dimensional cellular materials based on the hybrid fundamental-solution-based finite element method (HFS-FEM). The proposed method assumes two independent temperature fields in the domain and boundary of the element, respectively. The intra-element temperature field is approximated by a combination of fundamental

Radiative intensity with high directional and spatial resolutions can provide abundant useful information for combustion diagnosis systems based on radiative images. In this paper, an angular-spatial upwind element differential method (ASUEDM) is developed to discretize angular direction and spatial domain of radiative transfer equation (RTE) in a spherically participating medium. Because of the strong

We present a construction of partial spread bent functions using subspaces generated by linear recurring sequences (LRS). We first show that the kernels of the linear mappings defined by two LRS have a trivial intersection if and only if their feedback polynomials are relatively prime. Then, we characterize the appropriate parameters for a family of pairwise coprime polynomials to generate a partial

Let \(\Gamma =\mathrm {Cay}(G,S)\) be a Cayley graph on a finite group G. A perfect code in \(\Gamma \) is a subset C of G such that every vertex in \(G\setminus C\) is adjacent to exactly one vertex in C and vertices of C are not adjacent to each other. In Zhang and Zhou (Eur J Comb 91:103228, 2021) it is proved that if H is a subgroup of G whose Sylow 2-subgroup is a perfect code of G, then H is

The amyloid-beta peptide is a peptide that consists of 42 amino acids and is derived from the precursor protein known as an amyloid-beta precursor protein (APP). The amyloid-beta precursor protein is a glycoprotein that is a single-pass transmembrane transporter that only crosses the membrane once. On chromosome 21, you will find the gene that codes for amyloid-beta precursor protein. Because of its

This paper studies a class of rational Levin quadrature rules for numerical evaluation of highly oscillatory integrals. The nonlinear transformation is utilized to modify the classical Levin quadrature for nearly singular highly oscillatory integrals. Then the proposed quadrature is employed to develop a class of composite quadrature rules for calculation of the highly oscillatory integral with weakly

A weighing matrix W of order \(n=\frac{p^{m+1}-1}{p-1}\) and weight \(p^m\) is constructed and shown that the rows of W and \(-W\) together form optimal constant weight ternary codes of length n, weight \(p^m\) and minimum distance \(p^{m-1}(\frac{p+3}{2})\) for each odd prime power p and integer \(m\ge 1\) and thus $$\begin{aligned} A_3\left( \frac{p^{m+1}-1}{p-1},p^{m-1}\big (\frac{p+3}{2}\big )

We give two formulas involving covering polynomials and use them to study projections \({{\mathcal {C}}}\longrightarrow {{\mathcal {C}}}*v\) for binary self-dual codes \({{\mathcal {C}}}\) and vectors v. The dimension of \({{\mathcal {C}}}*v\) is determined in terms of the weight of v and the number of codewords covered by v. These projections are very useful in the study of self-dual codes. An example

Let V be a k-dimensional subspace of \({{\mathbb {F}}}_{q^n}\). Define \(a{{\mathbb {F}}}_q=\{a\lambda :\lambda \in {{\mathbb {F}}}_q\}\). We call V the Sidon space if any nonzero a, b, c and \(d\in V\) such that \(ab=cd\), then \(\{a{{\mathbb {F}}}_q,b{{\mathbb {F}}}_q\}=\{c{{\mathbb {F}}}_q,d{{\mathbb {F}}}_q\}\). We first provide the new results for high-dimensional Sidon spaces by using the direct

We present the formula for the number of monic irreducible polynomials of degree n over the finite field \({\mathbb {F}}_q\) where the coefficients of \(x^{n-1}\) and x vanish for \(n\ge 3\). In particular, we give a relation between rational points of algebraic curves over finite fields and the number of elements \(a\in {\mathbb {F}}_{q^n}\) for which Trace\((a)=0\) and Trace\((a^{-1})=0\).

We consider image sets of differentially d-uniform maps of finite fields. We present a lower bound on the image size of such maps and study their preimage distribution. Further, we focus on a particularly interesting case of APN maps on binary fields \(\mathbb {F}_{2^n}\). We show that APN maps with the minimal image size are very close to being 3-to-1. We prove that for n even the image sets of several

The effects of using hybrid nanofluids and of helical coil pitch (λ) in a 3D shell and tube heat exchanger (STHE) are investigated. The algorithm used in this study is Phase Coupled SIMPLE and the method used is Eulerian. Nanofluid flow with Reynolds (Re) numbers of 10,000, 15,000, and 20,000, nanoparticles with volume fractions (ϕ) of 2 and 4%, and λ = 20, 25, 40, and 50 mm are investigated. The highest

Max–min algebra is defined as a linearly ordered set with two binary operations. Classical addition and multiplication are replaced by maximum and minimum, respectively. A square matrix is called robust, if all its orbits converge to an eigenvector. In practice, matrix inputs and start vector inputs are rather contained in some intervals than exact values. Considering matrices and vectors with interval

The analysis of the spectral features of a Toeplitz matrix-sequence {Tn(f)}n∈N, generated by the function f∈L1([−π,π]), real-valued almost everywhere (a.e.), has been provided in great detail in the last century, as well as the study of the conditioning, when f is nonnegative a.e. Here we consider a novel type of problem arising in the numerical approximation of distributed-order fractional differential

By considering the tiling of an N-board (a linear array of N square cells of unit width) with new types of tile that we refer to as combs, we give a combinatorial interpretation of the product of two consecutive generalized Fibonacci numbers sn (where sn=∑i=1qvisn−mi, s0=1, sn<0=0, where vi and mi are positive integers and m1<⋯

The cell-based smoothed radial point interpolation method in conjunction with a second order cone programming is proposed for kinematic limit analysis of rigid-perfectly plastic thin plates in this paper. The transverse displacement field is interpolated by the radial point interpolation method (RPIM) and no rotational degrees of freedom are involved. The gradient smoothing technique is utilized to

The free vibration of multiple-nanobeam system is studied for various edge boundary conditions and number of coupled nanobeams. The size effect is captured using the Eringen's nonlocal elasticity theory. The governing equations of the beams which are coupled in the multiple-nanobeam system are obtained by Timoshenko beam theory. The vibration of multiple-nanobeam system with the number of m coupled

Image noise removal is one of the most important parts of image processing that can dramatically improve other parts of image processing performance by enhancing the quality of images in databases. Total variation models are second-order partial differential equations for image denoising. These models have some complexities, such as being multidimensional problems, non-linearity, and having large spatial

For the single-resolution particle method, large computation demand with high accuracy commonly requires enormous number of particles, which becomes greatly time-consuming. The moving particle semi-implicit (MPS) method with variable-size particles (VSP) has been proposed to refine particles in local domain. However, in VSP-MPS method, the refined area is fixed in the calculation, which makes it difficult

Using the meshless collocation method, a scheme for solving nonlinear variable-order fractional diffusion equations with a fourth-order derivative term is presented. Here the fractional derivative term is approximated by weighted and shifted Grünwald difference (WSGD) approximation formula. The difficulty caused by the nonlinear terms is carefully handled by quasilinearization technique. Using the

This paper is concerned with the development of a new compact 9-point stencil, based on integrated-radial-basis-function (IRBF) approximations, for the discretisation of the first biharmonic equation in two dimensions. Derivatives of not only the first order but also the second order and higher are included in the approximations on the stencil. These nodal derivative values, except for the boundary

This article is mainly devoted to the research of dielectric breakdown phenomenon during high power microwave propagation. Under the force of the high-intensity fields, bound charges break free and a part of an insulator becomes electrically conductive, which may lead to electrical breakdown and thermal breakdown in high power microwave (HPM) devices or on the output window. A three-dimensional (3D)

This paper investigates the free lateral vibration of a cracked nano-beam to piezoelectric effects on Euler-Bernoulli beam theory and nonlocal strain gradient theory (NSGT). So far, the propagation and growth of cracks in nano-beams have not been done by modeling the crack area using torsion springs using NSGT. This article investigates the free vibrations of cracked nano-beams using piezoelectric

We fabricated an effective target recognition network-based on the convolutional neural network and the perturbation Shooting and Bouncing Rays algorithm for electrically large targets having varying geometrical shapes. The algorithm started by constructing a relationship between the local random variables and target's geometry by using the non-uniform rational B-spline surface modeling method. Inverse

In this paper, the space-time generalized finite difference method (ST-GFDM) with supplementary nodes is applied to solve the thin elastic plate bending under dynamic loading. The proposed method treats the temporal dimension as another spatial dimension, thus the d-dimensional problem in space can be viewed as a new (d+1)-dimensional problem in the space-time domain. This method effectively reduces

This paper presents static analysis of a double-plate system using the boundary element method. The system is composed of two parallel plates with an elastic layer in between. The plates are assumed to be represented by the Kirchhoff plate model and the elastic layer is treated as a Winkler elastic foundation. The mathematical steps required to establish a boundary element technique are adequately

For a graph G we consider the problem of the existence of a switching equivalent signed graph with Laplacian eigenvalues that are all main and the problem of determination of all switching equivalent signed graphs with this spectral property. Using a computer search we confirm that apart from  K2 every connected graph with at most 7 vertices switches to at least one signed graph with the required property

In this work we investigate when an n×n Jordan matrix can be written as the sum of two strictly n-zero matrices. In particular, we show that if F is an algebraically closed field of characteristic zero and A is an n×n matrix over F with tr(A)=0, then A is the sum of two strictly n-zero matrices.

Let A be an unital algebra over the complex field C. A linear map ϕ from A into itself is called a Lie centralizer at a given point G∈A if ϕ([S,T])=[S,ϕ(T)]=[ϕ(S),T] for all S,T∈A with ST = G. The aim of this paper is to give a description of Lie centralizers at an arbitrary but fixed point on triangular algebras. These results are then applied to nest algebras and upper triangular matrix algebras

In this paper, we propose the horizontal implicit complementarity problems, which cover many complementarity problems that have wide applications. After reformulating the horizontal implicit complementarity problem as an implicit fixed-point equation, the modulus-based matrix splitting iteration methods are applied to solve the problems. Besides, this paper introduces a new kind of matrix splitting

In this paper, we consider the spectral radius of signless p-Laplacian of a graph, which is a generalization of the quadratic form of the signless Laplacian matrix for p = 2. Let Gn,β be the set of simple graphs of order n with a given matching number β. In this paper, the graphs maximizing the largest signless p-Laplacian eigenvalue among Gn,β are obtained.

D. Cvetković, M. Doob and H. Sachs considered the high order eigenvalue problems of graphs. The high order eigenvalues of a graph G are solutions of the high degree homogeneous polynomial equations derived from G. We propose the adjacency tensor A(G) of a graph G and show that the high order eigenvalues of G can be regarded as eigenvalues of A(G). Some results of the spectrum of the adjacency matrix

For a separable complex Hilbert space H, we say that a bounded linear operator T acting on H is C-normal, where C is a conjugation on H, if it satisfies CT∗TC=TT∗. For a normal operator, we give geometric conditions which guarantee that its rank-one perturbation is a C-normal for some conjugation C. We also obtain some new properties revealing the structure of C-normal operators.

Concrete gravity dams are susceptible to sudden failure under specific dynamic loading conditions such as earthquakes. In the present study, the authors explore an integrated experimental-numerical approach to identify the susceptible regions in a concrete gravity dam and characterize the localized crack patterns originating from these critical sections. A laboratory-scaled prototype dam model is prepared

Recently, a new concept called multiplicative differential was introduced by Ellingsen et al. Inspired by this pioneering work, power functions with low c-differential uniformity were constructed. Wang and Zheng (Several classes of PcN power functions over finite fields, arXiv:2104.12942) defined the c-differential spectrum of a power function. In this paper, we present some properties of the c-differential

In the present paper, for the first time, theoretical analysis for static, dynamic, and transient responses of micro-plates made of different materials were comprehensively performed. The constitutive relations of analyzed materials satisfy assumptions of the modified couple stress theory. Additionally, values of length scale parameters of studied materials are taken from well-established experimental

A partial \((n,k,t)_\lambda \)-system is a pair \((X,{\mathcal {B}})\) where X is an n-set of vertices and \({\mathcal {B}}\) is a collection of k-subsets of X called blocks such that each t-set of vertices is a subset of at most \(\lambda \) blocks. A sequencing of such a system is a labelling of its vertices with distinct elements of \(\{0,\ldots ,n-1\}\). A sequencing is \(\ell \)-block avoiding

A preference function provides a method to build periodic sequences by specifying a set of rules that determine which symbols are to be attempted before others, when the sequence is constructed one symbol at a time. The well-known prefer-one, prefer-opposite, and prefer-same binary de Bruijn sequences are all constructed using appropriate preference functions. In this article we provide some fairly

Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance plays a vital role in determining the error-correcting capability and the constructions of symbol-pair codes with largest possible minimum symbol-pair distance is of great importance. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that such codes can

ABSTRACT Given a bilinear form on Cn, represented by a matrix A∈Cn×n, the problem of finding the largest dimension of a subspace of Cn such that the restriction of A to this subspace is a non-degenerate skew-symmetric bilinear form is equivalent to finding the size of the largest invertible skew-symmetric matrix B such that the equation X⊤AX=B is consistent (here X⊤ denotes the transpose of the matrix

The dual interpolation boundary face method with Hermite-type moving-least-squares approximation (DiBFM-HMLS), presented recently, has certain advantages in simulating the discontinuous fields. Based on the DiBFM-HMLS and the matrix condensation technique, we proposed a multi-domain method for 3D elasticity problems in this paper. This method ensures an accurate interpolation for the multi-domain models

ABSTRACT In this paper, we consider the problem on the existence of perfect state transfer (PST for short) on semi-Cayley graphs over abelian groups (which are not necessarily regular), i.e. on the graphs having semiregular and abelian subgroups of automorphisms with two orbits of equal size. We stablish a characterization of semi-Cayley graphs over abelian groups having PST. As a result, we give a

Strict standards in medical complexes forced the air conditioning designers to approve a system that adjusts temperature and CO2 levels. In this study, medical complex energy analysis was discussed by introducing two cases, i.e., internal and external improvers. Using numerical approaches the energy analysis was performed and consequently using CFD-based approaches, the internal temoerature distribution

In the current computational work, the atomic behaviour of Hydrogen (H) atoms (as fluid) inside 2D Platinum (Pt) nanochannel (NC) in the presence of obstacles is described using molecular dynamics simulation (MDS) for clinical applications. This simulation method is reported by temperature (T), total energy, profiles of density/velocity/T and interaction energy of simulated compounds. Computationally

ABSTRACT Pair state transfer was introduced very recently, and there are only few results on the existence of pair state transfer in graphs. In this paper, we mainly study the existence of Laplacian pair state transfer in vertex coronas. We give sufficient conditions for vertex corona to have or to not have Laplacian perfect pair state transfer. We also give a sufficient condition for vertex corona

Using the q-derivative formula, we investigate the determinants of higher q-derivatives of functions. As applications, several interesting Wronskian identities concerning higher q-derivatives are presented, which can be considered as the q-analogues of several Wronskian determinants due to Chu.

In the present paper, we introduce a new regular matrix B~ and define the sequence space ℓp(B~). We also examine some topological properties for this space and determine α - ,β - ,γ - duals. As well, we characterize some matrix classes and investigate some geometric properties such as uniform convexity, strict convexity and super-reflexivity.

Multiphase flow is a challenging area of computational fluid dynamics (CFD) due to their potential large topological change and close coupling between the interface and fluid flow solvers. As such, Lagrangian meshless methods are very well suited for solving such problems. In this paper, we present a new fully explicit incompressible Smoothed Particle Hydrodynamics approach (EISPH) for solving multiphase

This paper deals with a new version of the local singular boundary method (LSBM), which will allow the use of irregular node distribution and any shape of the solved area. Unlike previous modifications, it does not impose any requirements on the number of nodes in the support or the number of virtual points. Moreover, it uses radial basis functions for interpolation, not the weighted squares method

Isogeometric analysis (IGA) in the framework of the boundary element method (BEM) – known as isogeometric boundary element analysis or IGABEM – has shown recently respectable performance in the field of acoustics and handling the time harmonic wave propagation equation of Helmholtz. However, IGABEM still requires fine meshes to handle the cases of very high frequencies due to the large number of elements

We introduce the Study variety of conformal kinematics and investigate some of its properties. The Study variety is a projective variety of dimension ten and degree twelve in real projective space of dimension 15, and it generalizes the well-known Study quadric model of rigid body kinematics. Despite its high dimension, co-dimension, and degree it is amenable to concrete calculations via conformal

This work aims to evaluate dynamic stability of micro-shell panels enriched by nanocomposites based on an analytical approach. In order to capture the effects of size on the mechanical behaviour of the micro-shell panels, the modified couple stress theory is employed which uses the material length scale parameter. The fundamental equations incorporating kinematic, constitutive, equilibrium and compatibility

Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. Twisted Reed–Solomon codes come from Reed–Solomon codes by adding a monomial. In this paper, we give a necessary and sufficient condition that twisted Reed–Solomon codes are MDS (near-MDS). Moreover, we prove that a lot of MDS codes, which are constructed via

In this article, we introduce the notion of linear canonical wave packet transform in quaternionic settings and we name it the quaternionic linear canonical wave packet transform (QLCWPT). Firstly, we establish the fundamental properties, viz. linearity, anti-linearity, parity, scaling, dilation and Parseval’s identity. Furthermore, some key harmonic analysis results like energy conservation, inversion

The advent of Isogeometric analysis enabled advances towards the straightforward connection between geometric design and mechanical modelling phases. 3D approaches of the Isogeometric Boundary Element Method (IGABEM) stand out in this context, because it requires information only from the boundary as well as the Computer-Aided Design (CAD) models. Thus, the 3D IGABEM best fulfils the isogeometric paradigm