Matrix - Science topic

A correlation matrix between seven climatic factors for Port Shepstone was generated. Average temperature was correlated with minimum temperature (r=0.9967, r 2 =0.9934, n=12, p<0.00001), maximum temperature (r=0.9872, r 2 =0.9746, n=12, p<0.00001), precipitation (r=0.8265, r 2 =0.6831, n=12, p=0.000918), humidity (r=0.9410, r 2 =0.8838, n=12, p<0....

A correlation matrix between seven climatic factors for Hluhluwe was generated. Average temperature was correlated with minimum temperature (r=0.9988, r 2 =0.9976, n=12, p<0.00001), maximum temperature (r=0.998, r 2 =0.996, n=12, p<0.00001), precipitation (r=0.9114, r 2 =0.8306, n=12, p=0.000037), humidity (r=0.9488, r 2 =0.9002, n=12, p<0.00001),...

A correlation matrix between seven climatic factors for Knysna was generated. Average temperature was correlated with minimum temperature (r=0.9999, r 2 =0.9998, n=12, p<0.00001), maximum temperature (r=0.9983, r 2 =0.9966, n=12, p<0.00001), (not) precipitation (r=-0.0191, r 2 =0.0004, n=12, p=0.953019), humidity (r=0.9387, r 2 =0.8812, n=12, p<0.0...

A correlation matrix between seven climatic factors for Kei Road was generated. Average temperature was correlated with minimum temperature (r=0.9988, r 2 =0.9976, n=12, p<0.00001), maximum temperature (r=0.9953, r 2 =0.9906, n=12, p<0.00001), precipitation (r=0.9476, r 2 =-0.8979, n=12, p<0.00001), humidity (r=0.9671, r 2 =0.9353, n=12, p<0.00001)...

A correlation matrix between seven climatic factors for Kirkwood was generated. Average temperature was correlated with minimum temperature (r=0.9992, r 2 =0.9984, n=12, p<0.00001), maximum temperature (r=0.998, r 2 =0.996, n=12, p<0.00001), precipitation (r=0.7532, r 2 =0.5673, n=12, p=0.004682), humidity (r=0.6826, r 2 =0.4659, n=12, p=0.014442),...

A correlation matrix between seven climatic factors for De Hoop was generated. Average temperature was correlated with minimum temperature (r=0.9994, r 2 =0.9988, n=12, p<0.00001), maximum temperature (r=0.9983, r 2 =0.9966, n=12, p<0.00001), (marginally with) precipitation (r=0.5504, r 2 =0.3029, n=12, p=0.063693), not with humidity (r=0.0262, r 2...

A correlation matrix between seven climatic factors for Cape Town was generated. Average temperature was correlated with minimum temperature (r=0.9997, r 2 =0.9994, n=12, p<0.00001), maximum temperature (r=0.9995, r 2 =0.999, n=12, p<0.00001), precipitation (r=0.9067, r 2 =-0.8221, n=12, p=0.000048), humidity (r=-0.5814, r 2 =0.338, n=12, p=0.04739...

A correlation matrix between seven climatic factors for Hout Bay was generated. Average temperature was correlated with minimum temperature (r=0.9789, r 2 =0.9582, n=12, p<0.00001), maximum temperature (r=0.9985, r 2 =0.997, n=12, p<0.00001), precipitation (r=-0.895, r 2 =0.801, n=12, p=0.000084), humidity (r=0.5814, r 2 =0.338, n=12, p=0.047391),...

A correlation matrix between seven climatic factors for Durban was generated. Average temperature was correlated with minimum temperature (r=0.9907, r 2 =0.9815, n=12, p<0.00001), maximum temperature (r=0.9921, r 2 =0.9843, n=12, p<0.00001), precipitation (r=0.8075, r 2 =0.6521, n=12, p=0.001492), humidity (r=0.9127, r 2 =0.833, n=12, p=0.000034),...

A correlation matrix between seven climatic factors for Pietermaritzburg was generated. Average temperature was correlated with minimum temperature (r=0.9983, r 2 =0.9966, n=12, p<0.00001), maximum temperature (r=0.9872, r 2 =0.9746, n=12, p<0.00001), precipitation (r=0.9223, r 2 =0.8506, n=12, p=0.00002), humidity (r=0.9505, r 2 =0.9305, n=12, p<0...

A correlation matrix between seven climatic factors for Scottburgh was generated. Average temperature was correlated with minimum temperature (r=0.9985, r 2 =0.997, n=12, p<0.00001), maximum temperature (r=0.9836, r 2 =0.9675, n=12, p<0.00001), precipitation (r=-0.7744, r 2 =0.5997, n=12, p=0.003106), humidity (r=0.9311, r 2 =0.8669, n=12, p=0.0000...

A correlation matrix between seven climatic factors for Gorongosa was generated. Average temperature was correlated with minimum temperature (r=0.9392, r 2 =0.8821, n=12, p<0.00001), maximum temperature (r=0.9387, r 2 =0.8812, n=12, p<0.00001), precipitation (r=-0.7693, r 2 =0.5918, n=12, p=0.003442), not humidity (r=0.3938, r 2 =0.1551, n=12, p=0....

A correlation matrix between seven climatic factors for Richards Bay was generated. Average temperature was correlated with minimum temperature (r=0.971, r 2 =0.9428, n=12, p<0.00001), maximum temperature (r=0.9631, r 2 =0.9291, n=12, p<0.00001), precipitation (r=-0.9104, r 2 =0.8288, n=12, p=0.000039), humidity (r=0.9415, r 2 =0.8864, n=12, p=0.01...

A correlation matrix between seven climatic factors for Gans Bay was generated. Average temperature was correlated with minimum temperature (r=0.9987, r 2 =0.9974, n=12, p<0.00001), maximum temperature (r=0.9995, r 2 =0.999, n=12, p<0.00001), precipitation (r=-0.9196, r 2 =0.9457, n=12, p=0.000023), humidity (r=0.6854, r 2 =0.4698, n=12, p=0.013889...

A correlation matrix between seven climatic factors for Vryheid was generated. Average temperature was correlated with minimum temperature (r=0.9948, r 2 =0.9896, n=12, p<0.00001), maximum temperature (r=0.9774, r 2 =0.9553, n=12, p<0.00001), precipitation (r=0.9048, r 2 =0.8178, n=12, p=0.000052), humidity (r=0.838, r 2 =0.7989, n=12, p=0.000089),...

In this paper, we propose a generalized Lucas matrix (a recursive matrix of higher order) obtained from the generalized Fibonacci sequences. We obtain their algebraic properties such as direct inverse calculation, recursive nature, etc. Then, we propose a modified public key cryptography using the generalized Lucas matrices as a key element that op...

Determining the number of factors in high-dimensional factor modeling is essential but challenging, especially when the data are heavy-tailed. In this paper, we introduce a new estimator based on the spectral properties of Spearman sample correlation matrix under the high-dimensional setting, where both dimension and sample size tend to infinity pr...

This paper describes how to propagate wavefields for arbitrary numbers of traditional time steps in a single step, called a superstep. We show how to construct operators that accomplish this task for finite-difference time domain schemes, including temporal first-order schemes in isotropic, anisotropic and elastic media, as well as temporal second-...

We introduce a method to learn unsupervised semantic visual information based on the premise that complex events can be decomposed into simpler events and that these simple events are shared across several complex events. We first employ a clustering method to group representations producing a visual codebook. Then, we learn a dense representation...

Sequences of structured matrices of increasing size, such as generalized locally Toeplitz sequences, arise in many scientific applications and especially in the numerical discretization of linear differential problems. We assume that the eigenvalues of a matrix X_n , belonging to a sequence of such kind, are given by a regular expansion. Under this...

A correlation matrix between seven climatic factors for Mtunzini was generated. Average temperature was correlated with minimum temperature (r=0.9994, r 2 =0.9988, n=12, p<0.00001), maximum temperature (r=0.9987, r 2 =0.9974, n=12, p<0.00001), precipitation (r=0.923, r 2 =0.8519, n=12, p=0.000019), humidity (r=0.9525, r 2 =0.9073, n=12, p<0.00001)....

A correlation matrix between seven climatic factors for Lochiel was generated. Average temperature was correlated with minimum temperature (r=0.9405, r 2 =0.8845, n=12, p<0.00001), maximum temperature (r=0.8204, r 2 =0.6731, n=12, p=0.001079), precipitation (r=0.9213, r 2 =0.8488, n=12, p=0.000021), humidity (r=0.9212, r 2 =0.8486, n=12, p=0.000021...

A correlation matrix between seven climatic factors for Umhlanga Rocks was generated. Average temperature was correlated with minimum temperature (r=0.9981, r 2 =0.9962, n=12, p<0.00001), maximum temperature (r=0.9904, r 2 =0.9809, n=12, p<0.00001), precipitation (r=0.8377, r 2 =0.7017, n=12, p=0.000671), humidity (r=0.9553, r 2 =0.9126, n=12, p<0....

The theory of generalized locally Toeplitz (GLT) sequences is an apparatus for computing the asymptotic spectral distribution of matrices A_n arising from numerical discretizations of differential equations. Indeed, when the mesh fineness parameter n tends to infinity, these matrices A_n give rise to a sequence {A_n}_n, which often turns out to be...

A correlation matrix between seven climatic factors for Port St Johns was generated. Average temperature was correlated with minimum temperature (r=0.9989, r 2 =0.9978, n=12, p<0.00001), maximum temperature (r=0.9758, r 2 =0.9522, n=12, p<0.00001), precipitation (r=0.8557, r 2 =0.7322, n=12, p=0.000385), humidity (r=0.93, r 2 =0.8649, n=12, p=0.000...

This study’s main goal is to examine the stability of descriptor systems with time-varying delays. One approached this investigation utilizing an input–output methodology centered around a three-term approximation model. Within this context, a novel delay-dependent condition was developed, integrating the concept of "free-weighting matrices". It’s...

We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion for the decay of the off-diagonal matrix elements in the position basis of the time-evolved or steady states....

Within the framework of differential Galois theory, we provide a solution to the factorization problem of piecewise constant matrix functions that arise from Fuchsian systems of differential equations. We calculate the partial indices of these matrix functions using the methods of the Riemann-Hilbert monodromy problem. This allows us to determine t...

Topology is a fascinating phenomena in condensed-matter physics typically associated with a bulk gap. However, recent research shifts focus to quantum critical points or phases that exhibit nontrivial topological properties. Here we explore a cluster-Ising chain with long-range antiferromagnetic interactions that decay as a power law with distance....

This paper investigates regional proportional-integral-derivative consensus of switched positive multi-agent systems with multiple equilibria. A distributed proportional-integral-derivative control protocol is developed by integrating the communication protocol, agent state, and consensus error. A novel switched positive consensus error system is e...

Zusammenfassung: Der Forschungsinhalt konzentriert sich auf die Geschäftsanalyse der Novaland Real Estate Group, die mit einem Gesamtstammkapital von 9,695 Milliarden VND (berechnet bis 31. Dezember 2019) zu den renommiertesten Unternehmen im Bereich Immobilieninvestitionen und-entwicklung gehört. Das Thema konzentriert sich auf die Analyse des int...

The article presents a mathematical method to construct an Orthonormal basis of coordinate space R^d, where d>=2, using the orthonormality property of the Binder matrix derieved from the Spacer component matrices.

Zusammenfassung : Der Immobilienmarkt in Vietnam sowie in Ho-Chi-Minh-Stadt und Hanoi ist für die Menschen hier und für Immobilieninvestoren immer ein Hotspot. Allerdings sind in Ho-Chi-Minh-Stadt die Miet-und Grundstückskaufpreise im Immobiliensektor immer noch höher als in Hanoi, da viele Menschen aus allen Provinzen aufgrund der Notwendigkeit, z...

Multigranulation rough set is composed of a set of granularities, providing a theoretical framework for solving problems from a multigranulation perspective. Feature selection aims to find the minimal set of attributes that does not compromise the overall classification capability. It has significant applications in the field of information process...

Point cloud analyzing and processing have attracted extensive attention due to their broad application in numerous sectors. Although many previous deep learning-based frameworks have had significant improvement, they often struggle with processing efficiency and neglect the spatial relationships between points. In this paper, we introduce CSP-Forme...

This study introduces a machine learning (ML)-driven approach to next-generation microwave filter design that enhances both accuracy and efficiency via repeated refinement. The approach includes generating a coupling matrix from filter specifications, followed by predicting physical parameters such as iris widths and resonator lengths using ML mode...

For what we believe to be the first time, we propose a general design method for ultralong optical path length (OPL) multipass matrix cells (MMCs) based on the multicycle mode of two-sided field mirrors. Based on the classical Pickett Bradley White cell (PBWC), the design idea of the dual-circulation mode based on two-sided field mirrors is describ...

The variational formulation of the interior Bernoulli free boundary problem is considered. The problem is formulated as follows. Choose an arbitrary bounded simply connected domain G ⊂ ℝ ² and smooth positive functions g : ∂G → ℝ, Q : G → ℝ. Denote by 𝒞 the totality of all connected compact sets ω ⊂ ., such that the flow domain Ω = G \ ω is double-...

This paper introduces a novel robust Kalman filter designed to leverage symmetrical properties within the Pearson Type VII-Inverse Wishart (PVIW) distribution, enhancing state estimation accuracy in the presence of time-varying biases and non-stationary heavy-tailed (NSHT) noise. The filter includes a shape parameter from the normal distribution an...

The object of this paper is to further investigate the notion of shape and topological derivatives in the light of the general notion of Hadamard semidifferential for a function defined on a subset of a topological vector space. The use of semitrajectories and the characterization of the adjacent tangent cone provide simple tools for defining Hadam...

A correlation matrix between seven climatic factors for Gqeberha was generated. Average temperature was correlated with minimum temperature (r=0.8835, r 2 =0.7806, n=12, p=0.000139), maximum temperature (r=0.8882, r 2 =0.7889, n=12, p=0.000114), (not) precipitation (r=-0.2911, r 2 =0.0847, n=12, p=0.358634), humidity (r=0.6998, r 2 =0.4897, n=12, p...

This article explores the principles and advanced techniques of conducting an effective SWOT analysis, emphasizing its role as a versatile tool for strategic decision-making. By examining its origins, theoretical foundations, and practical applications across diverse fields, the study highlights best practices for structuring and refining the analy...

5 This research investigates the centrality of provinces across the main departments of Peru through the 6 of eigenvector centrality, employing the Perron-Frobenius theorem and graph theory. We illustrate the 7 process of converting departmental maps into graphs utilizing geographic coordinates. By implementing 8 the Perron-Frobenius theorem within...

Here, a multi‐user signal iterative detection and decoding scheme named LBEP based on block expectation propagation (BEP) is proposed for LDPC‐coded two‐phase unsourced random access (URA) scheme. In the iterative process, the approximation of matrix inversion is used to facilitate expectation propagation (EP). In addition, this idea is also applie...

This study explores the physical, radiation shielding, optical, and photoluminescent properties of PbO2-SiO2-based glass systems. Traditional radiation shielding materials, like lead and concrete, face challenges due to toxicity and weight. Glass materials provide an alternative, offering transparency and efficiency. Four glass systems were analyze...

A correlation matrix between seven climatic factors for Winterton was generated. Average temperature was correlated with minimum temperature (r=0.9947, r 2 =0.9894, n=12, p<0.00001), maximum temperature (r=0.9846, r 2 =0.9694, n=12, p<0.00001), precipitation (r=0.9242, r 2 =0.8541, n=12, p=0.000017), humidity (r=0.6847, r 2 =0.4688, n=12, p=0.01402...

Non-Intrusive Load Monitoring (NILM), also referred to as energy disaggregation, is the task of estimating a device level energy consumption using the aggregated energy consumption of different devices at one single measurement point without installing meters on each individual device. NILM can be formulated as a source separation problem where the...

For many applications, it is convenient to have good upper bounds for the norm of the inverse of a given matrix. In this paper, we obtain such bounds when A is a Nekrasov matrix, by means of a scaling matrix transforming A into a strictly diagonally dominant matrix. Numerical examples and comparisons with other bounds are included. The scaling matr...

This paper introduces a discrete-time nonlinear coupled dynamical flow on networks, aiming to model and analyze the behaviour of interconnected systems where the dynamics of each node depend both on its intrinsic nonlinear evolution and on coupling interactions with adjacent nodes. The mathematical formulation captures these dynamics in matrix form...

We are interested in the simulation of open quantum systems governed by the Lindblad master equation in an infinite-dimensional Hilbert space. To simulate the solution of this equation, the standard approach involves two sequential approximations: first, we truncate the Hilbert space to derive a differential equation in a finite-dimensional subspac...

Subgraph matching is the problem of finding all the occurrences of a small graph, called the query, in a larger graph, called the target. Although the problem has been widely studied in simple graphs, few solutions have been proposed for multigraphs, in which two nodes can be connected by multiple edges, each denoting a possibly different type of r...

An approximate inverse LU preconditioner is constructed based on the Sherman-Morrison formula. Applying recursively that inversion formula a multiplicative decomposition of the inverse of a matrix is obtained. This recursion in compact form is the base to build the proposed preconditioner that we call V-AISM. For nonsingular M-matrices and H-matric...

The original model of axion natural inflation produces a tensor-to-scalar ratio above the experimental limit. Aligned axion inflation admits inflationary trajectories that originate near a saddle point of the two-field potential, and terminate due to the instability of the orthogonal direction. The phenomenology of these solutions is within the cur...

A new compound [Y2(sq)3(H2O)4] (Y-sq; sq = squarate (C4O42–)) was prepared and structurally characterized. Since the RE-sq family (RE = Y, Dy, Yb, Lu) gave isostructural crystals, the objective of this study is to explore the effects of diamagnetic dilution on the SIM behavior through systematic investigation and comparison of diamagnetically dilut...

The asymptotic behavior of GMM estimators depends critically on whether the underlying moment condition model is correctly specified. Hong and Li (2023, Econometric Theory) showed that GMM estimators with nonsmooth (non-directionally differentiable) moment functions are at best $n^{1/3}$-consistent under misspecification. Through simulations, we ve...

The Gaussian extermination technique poses significant challenges when applied to systems of linear equations with three or four unknowns, as it involves multiple steps and requires a high number of arithmetic operations, making the method less efficient and more complex to implement and understand. Furthermore, the Jacobian and Gauss-Seidel method...

This paper presents the output feedback pole assignment methods that attempt to achieve a robust solution where the arbitrary choose of the poles to be assigned are as insensitive as possible to perturbations in the closed loop system. The robust and arbitrary pole placement problem is formulated as a nonlinear and non-convex programming problem wi...

The meanings and relationships of words shift over time. This phenomenon is referred to as semantic shift.Research focused on understanding how semantic shifts occur over multiple time periods is essential for gaining a detailed understanding of semantic shifts.However, detecting change points only between adjacent time periods is insufficient for...

Code-switching, the alternation of languages within a single discourse, presents a significant challenge for Automatic Speech Recognition. Despite the unique nature of the task, performance is commonly measured with established metrics such as Word-Error-Rate (WER). However, in this paper, we question whether these general metrics accurately assess...

This investigation discusses a numerical approach to solving the hyperbolic telegraph equation in both one and two dimensions. Applying the Galerkin method is the basis of this approach. We use appropriate combinations of third-kind modified shifted Chebyshev polynomials (3KMSCPs) as basis functions to transform the governing partial differential e...

This study delves into neutral-type systems (NTSs), emphasizing the critical role of defining precise reachable set (RS) boundaries for safe and efficient system design and operation. The investigation notably addresses the challenges posed by time-varying delays, applying Lyapunov’s direct method alongside advanced matrix inequality techniques to...

In this paper natural necessary and sufficient conditions for quantifier elimination of matrix rings \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M_n(K)$$\end{docume...

The escalating global climate crisis and energy challenges have made the development of efficient radiative cooling materials increasingly urgent. This study presents a machine-learning-based model for predicting the performance of radiative cooling aerogels (RCAs). The model integrated multiple parameters, including the material composition (matri...

This work is devoted to the study of the relative controllability of fractional dynamic systems in finite‐dimensional spaces with a state delay and multiple delays in control. For linear systems to be relatively controllable, necessary and sufficient conditions are determined by defining and using the Gramian matrix. The controllability conditions...

We deal with root separation of a real polynomial. We bound the spread of a given polynomial, and we bound the roots of a polynomial whose roots are the differences of the roots of the initial polynomial. Intensive use of matricial norms (and matrix norms) is made. Extensions and ameliorations of the Leverrier-Faddeev algorithm and of the Caley-Ham...

There are many different algorithms for calculating the distances between DNA chains. Different algorithms for determining such distances give different results. This paper does not consider issues related to which of the classical algorithms is better, but shows the inconsistency of two classical algorithms, specifically the algorithms of Jaro–Win...

Introducing a GIS based analysis matrix of inherent condition indicators and grading standards for engineering water supply, an improved TOPSIS model was used to evaluate the water resource carrying capacity of 17 cities and counties on Hainan Island. The results show a poor evaluation level of water resource carrying capacity in most cities and co...

A composite material description was established for soda lime silica glass as the filler and High Density Polyethylene as host matrix (SLS-HDPE) for waveguide termination (dummy loads) application, by determining the effect of frequency and percentage with respect to SLS-HDPE composite's reflection (S11) and transmission (S21) coefficient. The pro...

A correlation matrix between seven climatic factors for Hoedspruit was generated. Average temperature was correlated with minimum temperature (r=0.994, r 2 =0.988, n=12, p<0.00001), maximum temperature (r=0.9907, r 2 =0.9815, n=12, p<0.00001), precipitation (r=0.8765, r 2 =0.7683, n=12, p=0.000183), humidity (r=0.7543, r 2 =0.569, n=12, p=0.004588)...