Results 51 to 60 of about 1,586 (179)
Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley +1 more source
Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition
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)).
Pau, Petru, Schicho, Josef
openaire +2 more sources
Function Art: Linking Mathematics, Technology, and Visual Arts
ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr +5 more
wiley +1 more source
Algorithms for Various Trigonometric Power Sums
In this paper, algorithms for different types of trigonometric power sums are developed and presented. Although interesting in their own right, these trigonometric power sums arise during the creation of an algorithm for the four types of twisted ...
Victor Kowalenko
doaj +1 more source
Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
Trigonometric continuous-variable gates and hybrid quantum simulations of the sine-Gordon model
Hybrid qubit-qumode quantum computing platforms provide a natural setting for simulating interacting bosonic quantum field theories. However, existing continuous-variable gate constructions rely predominantly on polynomial functions of canonical ...
Tommaso Rainaldi +7 more
doaj +1 more source
On derivatives of conjugate trigonometric polynomials in L_0 (in Russian) [PDF]
We consider Szego type inequality, where the norm of the derivatives of the conjugate trigonometric polynomials is measured by the norm of the polynomial itself in L_0 space. We improve the estimate of the constant in it, which was got by V. V. Arestov
A. N. Adamov
doaj
ABSTRACT In time‐marching dynamical simulations, treatment of contact forces in deformable bodies represented by finite element meshes requires a compromise between simulation fidelity and computational costs. External forces directly evaluated at the mesh nodes offer better computational performance at the cost of modelling fidelity.
Alexander R. Schock +2 more
wiley +1 more source
The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
A method for approximating the solution of weakly singular Fredholm integral equation of the second kind with highly oscillatory trigonometric kernel is presented.
Qinghua Wu
doaj +1 more source
Loss Behavior in Supervised Learning With Entangled States
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source

