This paper proposes a distance measure of neutrosophic numbers and a similarity measure based on cosine function, and then develops the misfire fault diagnosis method of gasoline engines by using the cosine similarity measure of neutrosophic numbers. In the fault diagnosis, by the cosine similarity measure between the fault knowledge (fault patterns) and required diagnosistesting sample with ne...

Numerical simulations of charged particle beams require an approximation to the particle distribution being simulated. We present a mathematical formalism for approximating two-dimensional (2D) particle distribution using a basis composed of scaled and translated Gauss-Hermite (STGH) functions. It is computationally efficient, because it only requires the values of the particle distribution at ...

design, simulation and optimal selection of cosine-linear frequency modulation waveform (cnlfm) based on correlated ambiguity function (af) method for the purpose of synthetic aperture radar (sar) is done in this article. the selected optimum cnlfm waveform in contribution with other waveforms are applied directly into a sar image formation algorithm (ifa) and their quality effects performance ...

We present the CPMA, a new method for medial axis pruning with noise robustness and equivariance to isometric transformations. The CPMA leverages discrete cosine transform create smooth versions of shape $\Omega $ . use shapes compute score function $\mathcal {F}_{\Omega }$ that filters out spurious branches from original Our generalizes $n$ -dimensional given properties Discrete Cosine Transfo...

The capability of Extended tanh–coth, sine–cosine and Exp-Function methods as alternative approaches to obtain the analytic solution of different types of applied differential equations in engineering mathematics has been revealed. In this study, the generalized nonlinear Schrödinger (GNLS) equation is solved by three different methods. To obtain the single-soliton solutions for the equation, t...

Measuring the similarity between two texts is a fundamental problem in many NLP and IR applications. Among the existing approaches, the cosine measure of the term vectors representing the original texts has been widely used, where the score of each term is often determined by a TFIDF formula. Despite its simplicity, the quality of such cosine similarity measure is usually domain dependent and d...

In this paper, a new approach for arbitrary scaling of images using a 2-D M-channel filter bank is proposed, whereby sampling kernels, introduced along with an optimized adaptive interpolation technique, are incorporated into the filter bank. More specifically, 2-D down and up sampling formulae are derived in a closed form by utilizing an adjustable window function such as a raised cosine funct...