Results 51 to 60 of about 280,749 (199)
Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
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Polynomial‐shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, EarlyView.A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
wiley +1 more source
C¹ Positive Surface over Positive Scattered Data Sites. [PDF]
PLoS ONE, 2015 The aim of this paper is to develop a local positivity preserving scheme when the data amassed from different sources is positioned at sparse points.
Farheen Ibraheem +2 more
doaj +1 more source
On polynomials with simple trigonometric formulas [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We show that the sequences of polynomials with zeros cot(mπ/(n + 2)) and tan(mπ/(n + 2)) are not orthogonal sequences with respect to any integral inner product. We give an algebraic formula for these polynomials, that is simpler than the formula originally derived by Cvijovic and Klinowski (1998).
openaire +3 more sources
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Computer Graphics Forum, EarlyView.Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu +4 more
wiley +1 more source
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization [PDF]
, 2018 We extend the notion of Dubiner distance from algebraic to trigonometric polynomials on subintervals of the period, and we obtain its explicit form by the Szego variant of Videnskii inequality.
Marco Vianello, Vianello, Marco
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Bounding Multivariate Trigonometric Polynomials
IEEE Transactions on Signal Processing, 2019 The extremal values of multivariate trigonometric polynomials are of interest in fields ranging from control theory to filter design, but finding the extremal values of such a polynomial is generally NP-Hard. In this paper, we develop simple and efficiently computable estimates of the extremal values of a multivariate trigonometric polynomial directly ...
Luke Pfister, Yoram Bresler
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Goodness‐of‐Fit Tests for Positive Quadrant Dependence
International Statistical Review, EarlyView.Summary When two random variables are positive quadrant dependent (PQD), they are more likely to assume small (or large) values simultaneously compared with when the random variables are independent. This dependence structure is of interest in many areas, including finance, actuarial science and engineering.
Chuan‐Fa Tang, Joshua M. Tebbs
wiley +1 more source
Parametric Time‐Variation in the Unconditional Volatility: Estimation and Inference
Journal of Time Series Analysis, EarlyView.ABSTRACT We propose modeling time‐variation in the unconditional volatility by augmenting the standard GARCH model by a deterministic time‐varying intercept. The model, called the additive time‐varying (ATV‐)GARCH model, can be interpreted as a reduced form of a model including covariates and can be derived from a multiplicative decomposition of ...
Niklas Ahlgren +2 more
wiley +1 more source
Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition
Journal of Symbolic Computation, 2000 The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Petru Pau, Josef Schicho
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