An example of a part of an two-matrix model graph described by the action (12). The solid lines represent the ribbon graph. The dashed lines represent the dual triangulation. The coloring of the vertices represent the spin Full size image We can interpretgas a cosmological constant, since it...
Actually, there is a function called `eigvec`, which in the future will allow the user to automatically generate the eigenvector from the Matrix; but at the moment, we cannot completely solve all generated polynomials completely, so the `eigvec` function is still in the works. ...
(Mathematics 8:136, 2020) introduced the shifted Legendre-type matrix polynomials of arbitrary fractional orders and their various applications utilizing Rodrigues matrix formulas. In this line of research, we use the fractional order of Rodrigues formula to provide further investigation on such Legendre...
4 (6)1∑i=1Nνji∑i=1NK(x,xi;λ)νji=1∑i=1Nνji∑i=1Nνji∑m=1Mϕm(x)ϕm(xi),with {ϕm}m=1M being appropriate basis functions (not necessarily polynomials) defined in the feature space in which the pattern vectors x and xi reside. From Eqs. 4 and 6, we have (7...
Control Theory, Integral Matrices, and Orthogonal Polynomials Article 01 December 2021 An Exact Schur Complement Method for Time-Harmonic Optimal Control Problems Chapter © 2022 Fixed-Point Methods in Optimization Problems for Control Systems Article 23 March 2024 ...
Graham, R.L., Lovász, L.: Distance matrix polynomials of trees. Adv. in Math. 29(1), 60–88 (1978) CrossRef Graham, R.L., Pollak, H.O.: On the addressing problem for loop switching. Bell. System Tech. J. 50, 2495–2519 (1971) CrossRef Grone, R., Merris, R., Sunder...
In this article, we derive the formulas for Fourier cosine transforms and Fourier sine transforms of matrix functions involving generalized Bessel matrix polynomials. With the help of these transforms a number of results are considered which are extensions of the corresponding results in the standard ...
Nock. On Random Matrix Averages Involving Half-Integer Powers of GOE Char- acteristic Polynomials. J. Stat. Phys. 159, No. 4, 731-751 (2015)Y. V. Fyodorov and A. Nock. On Random Matrix Averages Involving Half-Integer Powers of GOE Characteristic Polynomials. J. Stat. Phys. 159, No...
On the other hand, an increment in the number of internal segments leads to a decrement of the error approximation of the function but with the penalty of increasing the number of polynomials to be considered and, consequently, an increment in usage of LUT, Digital Signal Processing (DSP) ...
Multicomponent formalism in the mean-field approximation: A geometric interpretation of Chebychev polynomials. Phys. A Stat. Mech. Appl. 1991, 179, 277–287. [Google Scholar] [CrossRef] Sluiter, M.H.; Kawazoe, Y. Invariance of truncated cluster expansions for first-principles alloy thermodynamics...