Results 101 to 110 of about 248,011 (369)

When Is a Trigonometric Polynomial Not a Trigonometric Polynomial? [PDF]

open access: yesThe American Mathematical Monthly, 2012
3 ...
Joseph E. Borzellino, Morgan Sherman
openaire   +3 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

open access: yesAdvanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt   +8 more
wiley   +1 more source

Polynomials—Unifying or Fragmenting High School Mathematics?

open access: yesEducation Sciences
This paper presents research on the origin, scope, evolution, and rationale of knowledge about polynomials in high school mathematics. Within the framework of the Anthropological Theory of the Didactic, Croatian high school curricula and textbooks were ...
Jelena Pleština   +2 more
doaj   +1 more source

On Values of Cyclotomic Polynomials. V

open access: yes, 2003
In this paper, we present three results on cyclotomic polynomials. First, we present results about factorization of cyclotomic polynomials over arbitrary fields K.
Motose, Kaoru, Kaoru Motose
core   +1 more source

Investigation of Laser Ablation and Brush Pre‐Treatments for AlCu Cold Roll Bonding in Oxygen‐Free Conditions

open access: yesAdvanced Engineering Materials, EarlyView.
It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti   +11 more
wiley   +1 more source

General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media

open access: yesIET Microwaves, Antennas & Propagation, 2021
A new approach for using polynomial chaos‐based expansion finite‐difference time‐domain (PCE‐FDTD) is presented to calculate the uncertainty of electromagnetic wave propagation in dispersive materials.
Jiangfan Liu, Huiping Li, Xiaoli Xi
doaj   +1 more source

Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]

open access: yes, 2014
We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
core   +1 more source

The colored Jones polynomial and the A-polynomial of Knots

open access: yesAdvances in Mathematics, 2006
We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots.
openaire   +2 more sources

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

open access: yesAdvanced Engineering Materials, EarlyView.
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell   +3 more
wiley   +1 more source

A novel scheme for lossless authenticated multiple secret images sharing using polynomials and extended visual cryptography

open access: yesIET Information Security, 2021
Researchers have put forward many variations of schemes for secret image sharing on grounds of visual cryptography and polynomials. The authors of this paper put forward a novel scheme for sharing multiple secret images with perfect reconstruction and ...
Krishnaraj Bhat   +3 more
doaj   +1 more source

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