This paper explores applications of the exponential splitting method for approximating highly oscillatory solutions of the n-dimensional paraxial Helmholtz equation. An eikonal transformation is introduced for oscillation-free platforms and matrix operator decompositions. It is found that the sequential, parallel and combined exponential splitting formulas possess not only anticipated algorithm...

Various soil texture schemes are in current use. These differ in the size ranges of their particle fractions. There is a need to establish simple methods to correlate these conventional schemes. Therefore I have defined closed-form exponential and power law functions to fit models to cumulative particle-size distribution data. I have tested the functions for their suitability (i) to represent c...

Motivated by insights from the maxout-units-based deep Convolutional Neural Network (CNN) that "non-maximal features are unable to deliver" and "feature mapping subspace pooling is insufficient," we present a novel mixed variant of the recently introduced maxout unit called a mixout unit. Specifically, we do so by calculating the exponential probabilities of feature mappings gained by applying ...

A characterization of the space L2[−σ, σ] in terms of its image under the Fourier transformation has been given by the Paley-Wiener theorem [5]. The theorem asserts that f ∈ L2[−σ, σ] if and only if its Fourier transform f̂(ω) can be continued analytically to the whole complex plane as an entire function of exponential type at most σ whose restriction to the real axis belongs to L2(R). This char...

A linear time-invariant singularly perturbed system with multiple pointwise and distributed small time delays is considered. A novel (direct) approach to exact slow-fast decomposition of this system is proposed. In contrast with the existing method, this approach uses neither a preliminary transformation of the original differential system to an integral one nor rather complicated integral mani...

A new computationally efficient framework for vehicle tracking on a mobile platform is proposed. The principal component of the framework is the log-polar transformation applied to video frames captured from a standard uniformly sampled format camera. The log-polar transformation provides two major benefits to real-time vehicle tracking from a mobile vehicle platform moving along a single or mu...

The aim of study is to forecast global tourist visits and compare the forecasting methods determine best method using random forest, single exponential smoothing double smoothing, respectively. These are applied in visit data West Nusa Tenggara Province. Random familiar frequently utilized forecasting. In addition, three have great accuracy for time series data, such as visits. used this from 2...

Image enhancement plays an important role in image processing. This paper proposed method using a nonlinear(exponential) function. Firstly, we use the exponential function to construct gray transformation equation. Then, depending on position of each pixel, scale obtained by is further adjusted based compression factor. In section 3, comparative experiment shows that could achieve good performa...


 The availability of goods in a store is very important. Forecasting tool that used to help predict data needed by an organization or company. purpose this study the sale product has high risk damage and fast expiration time using existing techniques forecasting. can also be make stock safety at XYZ Supermarket. results are form forecasting methods adjusted sales one product. method ARIMA...