Results 81 to 90 of about 166,064,113 (263)
Advanced Engineering Materials, EarlyView.Enhancing ultrasound transmission through an aberration layer exhibiting mismatched impedance with the surrounding medium possesses great implications in imaging and treatment. In this study, we show that a space‐coiling acoustic metamaterial with judiciously tailored structural profile can help improve impedance matching.
Maral Ghanami +4 more
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Известия Иркутского государственного университета: Серия "Математика"The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
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Advanced Engineering Materials, EarlyView.An explicit constitutive reconstruction framework enables accurate tensile characterization of miniaturized additively manufactured specimens using only the grip‐to‐grip displacement measurements. Progressive validation through self‐consistency, analytical comparison, and inverse finite element method (iFEM) benchmarking demonstrates constitutive ...
Junqing Leng +4 more
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ON SUM OF PRODUCTS AND THE ERDŐS DISTANCE PROBLEM OVER FINITE FIELDS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractFor a prime powerq, let 𝔽qbe the finite field ofqelements. We show that 𝔽*q⊆d𝒜2for almost every subset 𝒜⊂𝔽qof cardinality ∣𝒜∣≫q1/d. Furthermore, ifq=pis a prime, and 𝒜⊆𝔽pof cardinality ∣𝒜∣≫p1/2(logp)1/d, thend𝒜2contains both large and small residues. We also obtain some results of this type for the Erdős distance problem over finite fields.
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Advanced Engineering Materials, EarlyView.Binder‐free laser powder bed fusion of 8YSZ with a femtosecond laser is used to map process windows linking scan strategy, heat accumulation, and grain growth. Time‐resolved thermography and simulations reveal thermal regimes that enable continuous, vitrified, and fine‐grained 8YSZ surface layers without absorptive additives and demonstrate ...
Markus Kühn +5 more
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Feynman integrals, hypergeometric functions and nested sums [PDF]
, 2009 Bejdakic E. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University; 2009.In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions ...
Bejdakic, Ervin
core
Advanced Engineering Materials, EarlyView.CT‐based finite element simulations combined with in situ X‐ray computed tomography are used to analyze insert pull‐out in nickel‐coated polymer foams. Despite variations in material parameters, deformation consistently concentrates within a narrow annular region around the insert.
Yannik Bautz +4 more
wiley +1 more source
Sum-product type estimates for subsets of finite valuation rings
Acta Arithmetica, 2018 Let $R$ be a finite valuation ring of order $q^r.$ Using a point-plane incidence estimate in $R^3$, we obtain sum-product type estimates for subsets of $R$. In particular, we prove that for $A\subset R$, $$|AA+A|\gg \min\left\{q^{r}, \frac{|A|^3}{q^{2r-1}}\right\}.$$ We also show that if $|A+A||A|^{2}>q^{3r-1}$, then $$|A^2+A^2||A+A|\gg q^{\frac{r ...
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The distribution function inequality for a finite sum of finite products of Toeplitz operators
Journal of Functional Analysis, 2005 The authors consider the problem of when a finite sum of finite products of Toeplitz operators is a compact perturbation of a Toeplitz operator. The authors introduce a generalized area function associated with a finite sum of finite products of Toeplitz operators and establish a distribution function inequality for the area function.
Guo, Kunyu, Zheng, Dechao
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Design of a Multistable Finger Prosthesis with Programmable Metamaterials
Advanced Engineering Materials, EarlyView.This research article shows the development of a multistable programmble metamaterial for the use as a finger prosthesis. The material was designed on different hierarchical levels where the influence of geometrical parameters and combination of mechanical elements was explored.
Franziska Wenz +5 more
wiley +1 more source