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Journal of symbolic computation, ISSN 0747-7171, 11/2020, Volume 101, pp. 61 - 72
An algorithm is designed to decompose a tropical univariate rational function into a composition of tropical binomials and trinomials... 
Decomposing a univariate tropical rational function | Commuting composition of tropical polynomials | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
Mathematische Annalen, ISSN 0025-5831, 2/2018, Volume 370, Issue 1, pp. 39 - 69
Let W be a subset of the set of real points of a real algebraic variety X. We investigate which functions $$f: W \rightarrow \mathbb {R}$$ f : W... 
Mathematics, general | 14P05 | 26C15 | Mathematics | 14P10 | MATHEMATICS | MAPS | TOPOLOGICAL VECTOR-SPACES | Computer science | Mathematics - Algebraic Geometry
Journal Article
Dalton transactions : an international journal of inorganic chemistry, ISSN 1477-9234, 2015, Volume 44, Issue 12, pp. 5258 - 5275
Journal Article
Applied Economics, ISSN 0003-6846, 04/2019, Volume 51, Issue 20, pp. 2091 - 2119
This paper shows that asset prices are linear polynomials of various underlying explanatory factors and asset returns being ratios of these polynomials, are rational functions that do not add linearly when averaging... 
rational function model | Fama French 3 and 5 factor models | asset volumes | CAPM | Asset pricing | average returns | TESTS | PRICES | PORTFOLIOS | PREMIUM | MARKET VALUE | RISK | MODEL | STOCK RETURNS | EQUILIBRIUM | ECONOMICS | SELECTION | Economic models | Prices | Assets | Pricing | Capital assets | Pricing policies | Change agents | Five factor model | Wealth | Averages
Journal Article
2005, 1. Aufl., ISBN 9781852339562, xxvi, 397
.... The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling... 
Linear systems | Functions, Orthogonal | Mathematical models | Control Systems | Electrical Engineering, Electronic Engineering, Information Engineering | Reglerteknik | Teknik och teknologier | Rational Basis Function | System Theory | Signal Processing | Control Theory | Engineering and Technology | Elektroteknik och elektronik | Control | System Identification | Control Engineering
Book
Numerische Mathematik, ISSN 0029-599X, 6/2019, Volume 142, Issue 2, pp. 359 - 382
The traditional view in numerical conformal mapping is that once the boundary correspondence function has been found, the map and its inverse can be evaluated by contour integrals... 
Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 30C30 | 41A20 | Mathematical and Computational Engineering | Mathematics, general | 65E05 | Mathematics | Numerical and Computational Physics, Simulation | MATHEMATICS, APPLIED | APPROXIMATION | MAPPING METHODS | PLANE | ALGORITHM
Journal Article
Chemical Society reviews, ISSN 1460-4744, 2015, Volume 44, Issue 12, pp. 3900 - 3923
.... A periodic table database of programmed primary structures was elaborated and used to facilitate the emergence of a diversity of functions in complex... 
CONSTITUTIONAL ISOMERIC AB | LIBRARIES | JANUS DENDRIMERS | MACROMOLECULAR COLUMNS | SIDE-GROUPS | SELF-ASSEMBLING DENDRONS | HELICAL COLUMNS | LIQUID-CRYSTAL | CROWN-ETHERS | CHEMISTRY, MULTIDISCIPLINARY | RATIONAL DESIGN
Journal Article
SIAM journal on numerical analysis, ISSN 0036-1429, 1/2008, Volume 46, Issue 5, pp. 2505 - 2523
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 12/2019, Volume 582, pp. 310 - 326
Journal Article
Annals of mathematics, ISSN 0003-486X, 7/2017, Volume 186, Issue 1, pp. 237 - 275
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 10/2017, Volume 13, Issue 9, pp. 2299 - 2318
For a field K , rational function ϕ ∈ K ( z ) of degree at least two, and α ∈ ℙ 1 ( K ) , we study the polynomials in K... 
irreducibility of polynomials | S-integer points in dynamics | Arithmetic dynamical systems | POLYNOMIALS | MATHEMATICS | ORDER | PRIME DIVISORS | GALOIS THEORY | INTEGER POINTS
Journal Article
Applied mathematics and computation, ISSN 0096-3003, 11/2018, Volume 337, pp. 494 - 503
.... Here, we focus on a method to improve the accuracy of the evaluation of rational functions... 
Horner scheme | Accuracy | Rounding errors | Error-free transformation | Rational function | floating-point | Homer scheme | MATHEMATICS, APPLIED | Numerical Analysis | Computer Arithmetic | Computer Science
Journal Article
by Yu, Han
Journal of number theory, ISSN 0022-314X, 11/2017, Volume 180, pp. 512 - 532
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials... 
Generalized trigonometric functions | Infinite series | Rational functions | MATHEMATICS
Journal Article
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 03/2017, Volume 43, Issue 4, pp. 1 - 29
We present a numerical procedure to approximate integrals of the form ∫ b a f ( x ) dx , where f is a function with singularities close to, but outside the interval... 
numerical integration | quadrature | Orthogonal rational functions | Fejér | rational interpolation | Quadrature | Numerical integration | Rational interpolation | INTERPOLATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Fejer | MATHEMATICS, APPLIED | GAUSS QUADRATURE | INTEGRATION | COMPLEX POLES | FORMULAS | Interpolation | Algorithms | Research | Methods
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 2015, Volume 280, pp. 121 - 187
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2017, Volume 2017, Issue 1, pp. 1 - 17
... ∗ ) $x\in(0, x^{\ast})$ and Γ ( x + 1 ) < ( x 2 + 1 / γ ) / ( x + 1 / γ ) $\Gamma(x+1)<(x^{2}+1/\gamma)/(x+1/\gamma )$ for x ∈ ( x ∗ , 1 ) $x\in(x^{\ast}, 1)$ , where Γ ( x ) $\Gamma(x)$ is the classical gamma function... 
33B15 | rational bound | psi function | Analysis | gamma function | Mathematics, general | Mathematics | 41A60 | Applications of Mathematics | 26D07 | completely monotonic function | MATHEMATICS | MATHEMATICS, APPLIED | FUNCTION INEQUALITY | completely monotonicn function | Gamma function | Research
Journal Article