Results 31 to 40 of about 625,582 (261)
Polynomial Solutions of the Heun Equation
Acta Polytechnica, 2011 We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are particularly concerned, the interlacing property of spectral and Stieltjes polynomials in the case of real roots of these polynomials and asymptotic root distribution when complex roots are present.
Shapiro, Boris, Tater, Milos
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Polynomial solutions of differential equations [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azad, H, Laradji, A, Mustafa, M T
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The number of polynomial solutions of polynomial Riccati equations
Journal of Differential Equations, 2016 21 pages, 1 ...
Armengol Gasull +2 more
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Bethe Equations "on the Wrong Side of Equator" [PDF]
, 1998 We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should ...
Baxter R J +10 more
core +2 more sources
The partial least squares algorithm: a truncated Cayley-Hamilton series approximation used to solve the regression problem [PDF]
Modeling, Identification and Control, 1998 In this paper it is shown that the PLS algorithm for univariate data is equivalent to using a truncated Cayley-Hamilton polynomial expression of degree 1 less than a less than r for the matrix inverse inv(X'X) in R^(rxr) used to compute the LS solution ...
David Di Ruscio
doaj +1 more source
Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0. We also consider trigonometric polynomials of the form A(θ)yn−1y′=B0(θ)+Bn(θ)yn where n≥2, being A,B0,Bn trigonometric polynomials of degree at most μ≥1 ...
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Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Aging and Cancer, EarlyView.Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
wiley +1 more source
Computing Solutions to the Polynomial-Polynomial Regulator Problem*
2024 IEEE 63rd Conference on Decision and Control (CDC)We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system with quadratic cost function, we study polynomial systems with polynomial cost functions; we call this problem the polynomial-polynomial regulator (PPR).
Corbin, Nicholas A., Kramer, Boris
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Approximate Solutions of Polynomial Equations
Journal of Symbolic Computation, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
wiley +1 more source