Results 31 to 40 of about 1,311,043 (300)

Efficient Fourier Single-Pixel Imaging with Gaussian Random Sampling

open access: yesPhotonics, 2021
Fourier single-pixel imaging (FSI) is a branch of single-pixel imaging techniques. It allows any image to be reconstructed by acquiring its Fourier spectrum by using a single-pixel detector.
Ziheng Qiu   +5 more
doaj   +1 more source

Solutions to Differential-Differential Difference Equations with Variable Coefficients by Using Fourier Transform Method

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023
In this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced.
Sunnet Avezov, Murat Düz, Ahmad Issa
doaj   +1 more source

Changing Signs of Fourier Coefficients [PDF]

open access: yesPacific Journal of Mathematics, 1965
In this chapter we shall be concerned with some remarkable facts concerning not one Fourier series $$ \sum\limits_{{{\text{n}} \in {\text{Z}}}} {\hat{f}(n){e^{{{\text{inx}}}}}}, $$ but rather “most” series $$ \sum\limits_{{{\text{n}} \in {\text{Z}}}} {\pm \hat{f}(n){e^{{{\text{inx}}}}}} $$ of the family obtained by making random changes ...
openaire   +4 more sources

Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients

open access: yesJournal of Function Spaces, 2017
For a bivariate function on a square, in general, its Fourier coefficients decay slowly, so one cannot reconstruct it by few Fourier coefficients. In this paper we will develop a new approximation scheme to overcome the weakness of Fourier approximation.
Zhihua Zhang
doaj   +1 more source

Fourier coefficients of Mathieu functions in stable regions

open access: yes, 1969
A method for calculating the Fourier coefficients of Mathieu functions in stable regions based on the method of bisection and Miller's recurrence algorithm is introduced.
Fruchting, Henning
core   +1 more source

On the asymptotic behavior of the Fourier coefficients of Mathieu functions

open access: yes, 2008
The asymptotic behavior of the Fourier coefficients A(m)(n)(q) and B-m(n)(q) of the periodic Mathieu functions ce(n)(z, q) and se(n)(z, q) is derived for fixed n and q (not equal 0), as m -> infinity.
Wolf, Gerhard
core   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill   +4 more
wiley   +1 more source

Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
We describe an asymptotic behavior of entire functions of improved regular growth with zeros on a finite system of rays in the metric of $L^p[0, 2\pi]$.
R.V. Khats’
doaj   +1 more source

Decay of Fourier coefficients.

open access: yes, 2013
We plot versus to illustrate the decay of Fourier coefficients for the three methods. The iterative and perturbative curves coincide and are nearly linear with slope ; the exponential decay of these Fourier coefficients is consistent with theory.
Harish S. Bhat (479312)   +1 more
core   +1 more source

Comparative assessment of crystallographic and cryo‐EM models in the Protein Data Bank

open access: yesFEBS Open Bio, EarlyView.
Raw data obtained by X‐ray crystallography or cryo‐EM result in experimental maps, ultimately fitted by atomic models. Although the physical principles are different, the final results can be viewed, compared, and evaluated in the same way. With cryogenic electron microscopy (cryo‐EM) on track to surpass X‐ray crystallography as the preferred method ...
Alexander Wlodawer   +7 more
wiley   +1 more source

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