Results 61 to 70 of about 230,209 (328)
From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad+4 more
wiley +1 more source
In this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials.
Jung Yoog Kang, Cheon Seoung Ryoo
doaj +1 more source
Polynomial configurations in difference sets
AbstractWe prove a quantitative result on the existence of linearly independent polynomial configurations in the difference set of sparse subsets of the integers. This result is achieved by first establishing a higher dimensional analogue of a theorem of Sárközy and then applying a simple lifting argument.
Akos Magyar, Neil Lyall
openaire +2 more sources
Powder Metallurgy Preparation of Metastable β Ti–Cr–Ge Alloys for Medical Applications
This study develops metastable β Ti–Cr–Ge alloys using powder metallurgy for biomedical implants. The Ti–10Cr–2Ge alloy exhibits superior mechanical performance with high yield strength (>1100 MPa), low Young's modulus (<85 GPa), and excellent strain hardening behavior.
Teddy Sjafrizal+3 more
wiley +1 more source
On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials
In this paper, we are interested in developing polynomial decomposition techniques to reformulate real valued multivariate polynomials into difference-of-sums-of-squares (namely, D-SOS) and difference-of-convex-sums-of-squares (namely, DC-SOS).
Niu, Yi-Shuai
core
Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]
We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi+2 more
core
Orthogonal polynomials with a resolvent-type generating function
The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state, we prove a Favard-type recursion relation. On the other hand, free Sheffer polynomials are a polynomial family
Anshelevich, Michael
core +1 more source
PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu+14 more
wiley +1 more source
Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function
For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials.
Hong-Yan Xu, Xiu-Min Zheng, Hua Wang
doaj +1 more source
Constructing Krall-Hahn orthogonal polynomials [PDF]
Given a sequence of polynomials $(p_n)_n$, an algebra of operators $\mathcal A$ acting in the linear space of polynomials and an operator $D_p\in \mathcal A$ with $D_p(p_n)=\theta_np_n$, where $\theta_n$ is any arbitrary eigenvalue, we construct a new ...
Antonio J. Durán+3 more
core