In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

1-D DCT-I and its inverse (which is a scaled DCT-I) 1-D DCT-II and its inverse (which is a scaled DCT-III) 2-D DCT-II and its inverse (which is a scaled DCT-III) 3-D ...

Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, we propose iterative ...

Abstract: Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, we propose ...

The graph’s spectral radius represents the adjacency matrix’s largest absolute eigenvalue. Applications for graph energies and spectral radii can be found in both molecular computing and computer ...

An Approach to Productive and Maintainable Shader Creation. Creating shaders has always been an advanced step for most developers, many game developers have never created GLSL code from scratch. The ...

In this work we identify the source in a 1D anomalous diffusion equation, from measurements of the concentration at a finite number of points. We use Caputo-Fabrizio time fractional derivative to ...

In the Leidenfrost regime, droplets or sublimating solids can ratchet across asymmetric surface structures by viscous entrainment with the underlying vapor flow. As an extension to these liquid–vapor ...

Now that you know what \({\log _a}x\) means, you should know and be able to use the following results, known as the laws of logarithms.