Composite electrodes of polyaniline/MnO2-Multi walled carbon nanotube (PANI/MnO2-MWCNT), MnO2-MWCNT nanocomposites and MWCNT was produced by the in situ direct coating approach. The supercapacitor performance of the nanocomposites was studied by Fourier transform infrared (FT-IR) spectroscopy and scanning electron microscopy (SEM). The electrochemical properties of electrodes were also investig...

When it comes to compiler design, there has been a dispute as to whether it is useful to transform the source code using the continuation passing style (CPS) transform first. Some have observed that it is easier to optimize CPS transformed code, while others maintain that direct style compilation is better. Sabry and Felleisen resolve the dispute by showing how get the benefits of CPS without t...

The equivalence between dg duality and Verdier has been established for cyclic operads earlier. We propose a generalization of this correspondence from to twisted modular the Feynman transform. Specifically, each operad $$\mathcal {P}$$ (taking values in dg-vector spaces over field k characteristic 0), there is certain sheaf {F}$$ associated with it on moduli space stable metric graphs such tha...

We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a sigma-band-limited function, say g. Our reconstruction method is based on such a model for f. Of particular interest is the e...

Let G be a finite abelian group of order n. For a complex valued function f on G let f̂ denote the Fourier transform of f . The classical uncertainty inequality asserts that if f 6= 0 then |supp(f)| · |supp(f̂)| ≥ |G| . (1) Answering a question of Terence Tao, the following improvement of (1) is shown: Theorem: Let d1 < d2 be two consecutive divisors of n. If d1 ≤ k = |supp(f)| ≤ d2 then |supp(f̂)...

Let Ln [f ] denote the Lagrange interpolation polynomial to a function f at the zeros of a polynomial Pn with distinct real zeros. We show that f − Ln [f ] = −PnHe [ H [f ] Pn ] , where H denotes the Hilbert transform, and He is an extension of it. We use this to prove convergence of Lagrange interpolation for certain functions analytic in (−1, 1) that are not assumed analytic in any ellipse wi...

In image processing or pattern recognition, Fourier Transform is widely used for frequency-domain analysis. In particular, the Phase Only Correlation (POC) method demonstrates high robustness and accuracy in the pattern matching and the image registration. However, there is a disadvantage in required memory machine because of the calculation of 2D-FFT. In this case, Hartley transform can be a v...

We explain the orthogonal planes split (OPS) of quaternions based on the arbitrary choice of one or two linearly independent pure unit quaternions f ,g. Next we systematically generalize the quaternionic Fourier transform (QFT) applied to quaternion fields to conform with the OPS determined by f ,g, or by only one pure unit quaternion f , comment on their geometric meaning, and establish invers...

In single photon emission computed tomography (SPECT) one is interested in reconstructing the activity distribution f of some radiopharmaceutical. The data gathered suffer from attenuation due to the tissue density μ. Each imaged slice incorporates noisy sample values of the nonlinear attenuated Radon transform A(f,μ)(ω, s) = ∫ ∞ −∞ f (sω⊥ + tω) exp (

In shape reconstruction, the celebrated Fourier slice theorem plays an essential role. By virtue of the relation between the Radon transform, the Fourier transform and the 2-dimensional inverse Fourier transform, the shape of an object can be reconstructed from the knowledge of the object’s Radon transform. Unfortunately, a discrete implementation requires the use of interpolation techniques, s...