Results 31 to 40 of about 689,207 (330)
A New Method to Obtain PH-Helical Curves in E^(n+1)
Journal 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
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A characterization of the four Chebyshev orthogonal families
International 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
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Analytical solution of fractional differential equations by Akbari–Ganji’s method
Partial 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
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Arthritis 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
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Advanced 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
Journal 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 \(
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Grothendieck inequalities characterize converses to the polynomial method [PDF]
QuantumA 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
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Complexity of coalition structure generation [PDF]
, 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
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A Positron Lifetime Study of Cooling and Natural Aging of Solutionized Aluminum Alloys
Advanced 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]
Results in Mathematics, 2021 AbstractIt is well known that the interpolation error for $$\left| x\right| ^{\alpha },\alpha >0$$ x α , α > 0
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