Results 41 to 50 of about 131,872 (281)
Complex Pearson Correlation Coefficient for EEG Connectivity Analysis [PDF]
Sensors, 2022 In the background of all human thinking—acting and reacting are sets of connections between different neurons or groups of neurons. We studied and evaluated these connections using electroencephalography (EEG) brain signals. In this paper, we propose the use of the complex Pearson correlation coefficient (CPCC), which provides information on ...
Zoran Sverko +3 more
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Multiscale analysis of wave propagation in composite materials
Mathematical Modelling and Analysis, 2003 The multiscale solution of the Klein‐Gordon equations in the linear theory of (two‐phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets.
C. Cattani
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Spectra of Jacobi Operators via Connection Coefficient Matrices [PDF]
Communications in Mathematical Physics, 2021 AbstractWe address the computational spectral theory of Jacobi operators that are compact perturbations of the free Jacobi operator via the asymptotic properties of a connection coefficient matrix. In particular, for Jacobi operators that are finite-rank perturbations we show that the computation of the spectrum can be reduced to a polynomial root ...
Marcus Webb, Sheehan Olver
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Linearization and connection coefficients for hypergeometric-type polynomials
, 1998 We consider the problem of finding closed analytical formulas for both the linearization and connection coefficients for hypergeometric-type polynomials, directly in terms of the corresponding differential equations. We illustrate the method by producing
Dehesa, J.S. +3 more
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The derivative connecting problems for some classical polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2019 Given two polynomial sets $\{ P_n(x) \}_{n\geq 0},$ and $\{ Q_n(x) \}_{n\geq 0}$ such that $$\deg ( P_n(x) ) =n, \deg ( Q_n(x) )=n.$$ The so-called the connecting problem between them asks to find the coefficients $\alpha_{n,k}$ in the expression ...
A. Ramskyi, N. Samaruk, O. Poplavska
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Geometric distribution series connected with certain subclasses of univalent functions [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper, we consider the class of normalized analytic functions of the form f(z)=z+∑n=2∞ anzn. Following this functions, we define the functions whose coefficients are probabilities of the geometric distribution series and other special modes of ...
M. Taliyan, Sh. Najafzadeh, M. R. Azimi
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A recurrence relation for generalised connection coefficients
, 2023 We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients between two sets of orthonormal polynomials, another example is integrals of
Iserles, Arieh, Gao, Jing
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A recurrence formula for Jack connection coefficients
, 2014 This article is devoted to the study of Jack connection coefficients, a generalization of the connection coefficients of the classical commutative subalgebras of the group algebra of the symmetric group closely related to the theory of Jack symmetric functions.
Kanunnikov, A. L., Vassilieva, E. A.
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Regression Coefficient Derivation via Fractional Calculus Framework
Journal of Mathematics, 2022 This study focuses on deriving coefficients of a simple linear regression model and a quadratic regression model using fractional calculus. The work has proven that there is a smooth connection between fractional operators and classical operators ...
Muath Awadalla +3 more
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Energies, 2021 The connection section between cyclones and backpass is an important configuration in multi-cyclone circulating fluidized bed boilers (CFB). In this work, the resistance coefficient of different connection modes, and connection resistance distribution ...
Guanwen Luo +5 more
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