In functional magnetic resonance imaging, voxel time courses after Fourier or non-Fourier “image reconstruction” are complex valued as a result of phase imperfections due to magnetic field inhomogeneities and random noise. Nearly all fMRI studies derive functional “activation” based on magnitudeonly voxel time courses. Here the entire complex or bivariate data are modeled rather than just the m...

The novel approach has been carried for the green synthesis of silver nanoparticles using leaf extract of Cinnamomum tamala and silver nitrate solution. The optimal condition for synthesizing Ag-NPs was obtained by varying the leaf extract concentration, temperature, AgNO3 concentration, effect of ratio of leaf extract to AgNO3 solution,pH and reaction time. The f...

The Fourier Series, the founding principle behind the field of Fourier Analysis, is an infinite expansion of a function in terms of sines and cosines. In physics and engineering, expanding functions in terms of sines and cosines is useful because it allows one to more easily manipulate functions that are, for example, discontinuous or simply difficult to represent analytically. In particular, t...

Basically, what we can try to do is to take the Fourier transform of 1R (the indicator function for the set R), and then use Fourier inversion to show that for each shift t+L of the lattice L, this shift intersects the set R. Actually, it will not quite be enough to take the Fourier transform of just 1R, but instead we will need to work with a smoothed version of 1R in order to make the Fourier...

| We show that the Fourier transform of the linear output of a single hidden layer perceptron consists of a multitude of line masses passing through the origin. Each line corresponds to one of the hidden neurons and its slope is determined by that neuron's weight vector. We also show that convolving the output of the network with a function can be achieved simply by modifying the shape of the s...

phospholipase a1 is known as an effective catalyst for hydrolysis of various phospholipids in enzymatic vegetable oil degumming. immobilization is one of the most efficient strategies to improve its activity, recovery and functional properties. in this study, chitosan-co-polyethylene oxide (90:10) nanofibrous mat was successfully fabricated and modified with atmospheric plasma at different time...

one of the solutions to increase the applications of lignin molecules is increasing reactive functional groups by chemical modification. adding reactive functional groups into the lignin structures is one the best proposed methods. the aim of this study was to investigate change in structure as well as glass transition temperature (tg) of soda and kraft lignins after hydroxymethylation them wit...

In this study, Santa Barbara Amorphous (SBA-15) mesoporous silica has been functionalized with aminopropyl groups that were converted to propargyl-bearing moieties through the reaction with propargyl bromide. The material then underwent an efficient Cu(I)-catalyzed azide alkyne click reaction with sodium azide in order to obtain the corresponding triazole products. The covalent modification of ...

We obtain an exact formula for the Fourier transform of multiradial functions, i.e., functions of the form Φ(x) = φ(|x1|, . . . , |xm|), xi ∈ Rni , in terms of the Fourier transform of the function φ on Rr1 × · · · ×Rrm , where ri is either 1 or 2.

FRACTIONAL FOURIER INTEGRAL THEOREM AND FRACTIONAL FOURIER SINE AND COSINE TRANSFORM Saleem Iqbal, S.M. Raza, * LalaRukh Kamal and Farhana Sarwar Department of Mathematics/Physics, University of Balochistan, Quetta, Pakistan e-mail: fs1005,saleemiqbal81,[email protected]. ABSTRACT: The fractional Fourier transform (FRFT) is a generalization of the ordinary Fourier transform (FT). Recently...