Results 101 to 110 of about 1,291,137 (334)
Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased. Complexity of those representations is widely studied.
A. Kazimirov, S. Reymerov
doaj
Properties of the Polynomials Associated with the Jacobi Polynomials [PDF]
Power forms and Jacobi polynomial forms are found for the polynomials W n ( α , β ) W_n^{(\alpha ,\beta )} associated with Jacobi polynomials. Also, some differential-difference equations and evaluations of certain integrals involving W n
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This study shows that lizard osteoderm capping tissue is a hyper‐mineralized hydroxyapatite layer consistently covering the superficial osteoderm surface in those species studied here, yet it varies greatly in morphology, nanostructure, and mechanical performance across species.
Adrian Rodriguez‐Palomo +10 more
wiley +1 more source
Isomorphisms of algebras of symmetric functions on spaces $\ell_p$
The work is devoted to the study of algebras of entire symmetric functions on some Banach spaces of sequences. A function on a vector space is called symmetric with respect to some fixed group $G$ of operators acting on this space, or $G$-symmetric, if ...
T. V. Vasylyshyn
doaj +1 more source
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and theirrth derivatives. We get the formulas for therth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.
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A tunable methacrylated decellularized bone matrix hydrogel (dECM‐MA) is developed to support 3D culture of human osteoblasts. The hydrogel preserves bone‐specific ECM cues and allows precise control over mechanical properties. This system provides a customizable platform for studying osteogenic differentiation and modeling bone tissue environments for
Minne Dekker +5 more
wiley +1 more source
Asymptotics of the colored Jones polynomial and the A-polynomial [PDF]
We reveal a relationship between the colored Jones polynomial and the A-polynomial for twist knots. We demonstrate that an asymptotics of the $N$-colored Jones polynomial in large $N$ gives the potential function, and that the A-polynomial can be computed. Also discussed is a case of torus knots.
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This study introduces an innovative approach to treating intervertebral disc degeneration using ultrasound‐triggered in situ hydrogel formation. Proof‐of‐concept experiments using optimized biomaterial and ultrasound parameters demonstrate partial restoration of biomechanical function and successful integration into degenerated disc tissue, offering a ...
Veerle A. Brans +11 more
wiley +1 more source
Polynomials in additive functions and generalized polynomials
AbstractWe consider ...
Jens Schwaiger, Wolfgang Prager
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Polynomial zerofinders based on Szegő polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ammar, G.S. +3 more
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