Results 111 to 120 of about 4,735 (303)
Finitely based ideals of weak polynomial identities [PDF]
, 2015 Let K be a field, char K not equal 2, and let V-k be a k-dimensional vector space over K equipped with a nondegenerate symmetric bilinear form. Denote C-k the Clifford algebra of V-k. We study the polynomial identities for the pair (C-k, V-k). A basis of
Koshlukov, P
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Tridiagonal matrices representations of generalized bivariate complex polynomials
Journal of Innovative Applied Mathematics and Computational SciencesThis paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
doaj +1 more source
Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
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A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
Advanced Engineering Materials, EarlyView.A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
wiley +1 more source
On the asymptotics for $ast$-Capelli identities [PDF]
Let Fbe the free associative algebra with involution ∗ over a field of characteristic zero. If L and M are two natural numbers let Γ∗_M+1,L+1 denote theT∗-idealofFgenerated by the∗-capellipolynomialsCap+M+1,Cap−L+1 alternanting on M+1 symmetric variables
Francesca Benanti
core
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
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On image formulas for the product of polynomials and the Yang Y-function via the BA-transform
Mathematics OpenThis study introduces novel image formulas involving the product of a polynomial family and the Yang Y-function using the BA transform, which are useful in analytical techniques such as the evaluation of integrals and the solution of differential and ...
Engdasew Birhane, D. L. Suthar
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Fermatian row and column sums as a family of generalized integers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon +2 more
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Polynomial identities for hypermatrices
, 2002 65 pages. Several results expanded.
openaire +4 more sources
Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source