Results 101 to 110 of about 1,291,137 (334)

On upper bounds of the complexity of functions over nonprime finite fields in some classes of polarized polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
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]

open access: yesMathematics of Computation, 1986
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
openaire   +2 more sources

Micro and Nanostructural Diversity of Lizard Osteoderm Capping Tissue in Relation to Mechanical Performance

open access: yesAdvanced Functional Materials, EarlyView.
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 $\ell_p$

open access: yesМатематичні Студії
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]

open access: yesJournal of Applied Mathematics, 2014
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.
openaire   +3 more sources

Bone‐Derived dECM Hydrogels Support Tunable Microenvironments for In Vitro Osteogenic Differentiation

open access: yesAdvanced Healthcare Materials, EarlyView.
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]

open access: yesNuclear Physics B, 2007
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.
openaire   +3 more sources

Ultrasound‐Triggered Gelation for Restoring Biomechanical Properties of Degenerated Functional Spinal Units

open access: yesAdvanced Healthcare Materials, EarlyView.
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

open access: yesDemonstratio Mathematica, 2008
AbstractWe consider ...
Jens Schwaiger, Wolfgang Prager
openaire   +1 more source

Polynomial zerofinders based on Szegő polynomials

open access: yesJournal of Computational and Applied Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ammar, G.S.   +3 more
openaire   +2 more sources

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