Results 31 to 40 of about 689,207 (330)

A New Method to Obtain PH-Helical Curves in E^(n+1)

open access: yesJournal of New Theory, 2021
Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves.
Çetin Camcı   +3 more
doaj   +1 more source

A characterization of the four Chebyshev orthogonal families

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa   +2 more
doaj   +1 more source

Analytical solution of fractional differential equations by Akbari–Ganji’s method

open access: yesPartial Differential Equations in Applied Mathematics, 2022
According to the various and extensive applications of fractional calculus in a range of fields, such as engineering, biology, image processing, material science and economics, researchers have discovered new, simpler-to-use and more accurate approaches ...
M.A. Attar   +3 more
doaj   +1 more source

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

open access: yesArthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy   +9 more
wiley   +1 more source

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 with constant Hessian determinant

open access: yesJournal of Pure and Applied Algebra, 1991
The author proves the Jacobian conjecture for polynomial mappings \(F:\mathbb{C}^ 2\to\mathbb{C}^ 2\) with symmetric Jacobian matrix. He uses the fact that, in this case, there exists a polynomial \(P:\mathbb{C}^ 2\to\mathbb{C}\) such that \(F=\text{grad}(P)\) (then \(P\) has constant Hessian determinant), and next, he gives the explicit form of such \(
openaire   +1 more source

Grothendieck inequalities characterize converses to the polynomial method [PDF]

open access: yesQuantum
A surprising 'converse to the polynomial method' of Aaronson et al. (CCC'16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to a universal multiplicative factor related to the famous ...
Jop Briët   +2 more
doaj   +1 more source

Complexity of coalition structure generation [PDF]

open access: yes, 2011
We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare.
Aziz, Haris, de Keijzer, Bart
core   +4 more sources

A Positron Lifetime Study of Cooling and Natural Aging of Solutionized Aluminum Alloys

open access: yesAdvanced Engineering Materials, EarlyView.
The process during cooling of Al–Mg and Al–Mg–Si alloys from the solutionizing temperature down to 20 °C is interrupted. These states are analyzed with positron lifetime spectroscopy to trace the processes during cooling. In different temperature ranges, two stages of vacancy loss and solute clustering are identified.
Zi Yang, Mengjie Li, John Banhart
wiley   +1 more source

Asymptotics of Polynomial Interpolation and the Bernstein Constants [PDF]

open access: yesResults in Mathematics, 2021
AbstractIt is well known that the interpolation error for $$\left| x\right| ^{\alpha },\alpha >0$$ x α , α > 0
openaire   +3 more sources

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