Results 101 to 110 of about 17,850 (309)

Additive Manufacture of Diamond:Titanium Hybrid Quantum Sensors

open access: yesAdvanced Materials Interfaces, EarlyView.
ABSTRACT Additive manufacture represents one of the most advanced techniques for the creation of complex parts for applications as diverse as aerospace and implant surgery. However, a challenge with bespoke manufacture of metal parts is the incorporation of sensor elements in a fashion compatible with the 3D printing process.
Daniel Stavrevski   +12 more
wiley   +1 more source

Computation of Difference Grobner Bases [PDF]

open access: yesComputer Science Journal of Moldova, 2012
This paper is an updated and extended version of our note \cite{GR'06} (cf.\ also \cite{GR-ACAT}). To compute difference \Gr bases of ideals generated by linear polynomials we adopt to difference polynomial rings the involutive algorithm based on Janet ...
Vladimir P. Gerdt, Daniel Robertz
doaj  

A Comparative Study on Early‐Stage Icing Evaluation Techniques for Passive Ice Protection Systems

open access: yesAdvanced Materials Interfaces, EarlyView.
This study addresses the lack of standardized methodologies for evaluating the early‐stage icing performance of passive ice protection systems. A unified experimental protocol is proposed and applied to representative hydrophilic and hydrophobic surfaces under controlled conditions.
Lorenzo Facco   +4 more
wiley   +1 more source

Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj  

Topological Point Defects in SmC* Liquid Crystals Under Mechanical Disturbance

open access: yesAdvanced Materials Interfaces, EarlyView.
Tangetial air jet shear inducess island formation and nucleates topological point defects in uniform SmC films. Island bounded by edge dislocation loops shrink and transform into isolated point defects under continued shear. Mechanical perturbatio provides a controllable route for defect engineering in smectric liquid crystal thin films.
Gunganist Kongklad   +3 more
wiley   +1 more source

On the Finite Differences of a Polynomial

open access: yesThe Annals of Mathematical Statistics, 1935
In this paper an apparently new and convenient method of finding the successive finite differences of a polynomial is considered. If operationally 4(u + rjr2) = Er7r2 4(u) = (1 + Ari)r2 4o(u) then for any polynomial f(x) of degree "n" f(x) = po xn + P, Xn-1 +--+ Pn = po(x + a)n + qll(x + a)n-I + + qln Eaf(x) = po(x + a)n + pl(x + a)n-' + + Pn Aaf(X) = (
openaire   +2 more sources

Difference Sets and Polynomials

open access: yes, 2015
We provide upper bounds on the largest subsets of $\{1,2,\dots,N\}$ with no differences of the form $h_1(n_1)+\cdots+h_{\ell}(n_{\ell})$ with $n_i\in \mathbb{N}$ or $h_1(p_1)+\cdots+h_{\ell}(p_{\ell})$ with $p_i$ prime, where $h_i\in \mathbb{Z}[x]$ lie in in the classes of so-called intersective and $\mathcal{P}$-intersective polynomials, respectively.
Lyall, Neil, Rice, Alex
openaire   +2 more sources

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