We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in each pair is given by a series of hypergeometric functions and converges for any finite value of the independent variable z, while the other is given by a series of modified Bessel functions and conv...

In recent years, several papers (for a complete reference list, see Chirka and Stout [3]) have been published on the subject of removable singularities for the boundary values of holomorphic functions on some domains or hypersurfaces in the complex euclidean space. In this paper, we study the higher codimensional case. Our results for the hypersurface case are weaker than those in [3] and [4], ...

Based on morphological methods, MODIS satellite remote sensing data were used to establish a dataset of the local roughness length (Z0) vegetation-covered surfaces in Guangdong Province. The Z0 was update mesoscale Weather Research and Forecasting (WRF) model order quantitatively evaluate its impact thermodynamic environment surfaces. specific results are as follows: evergreen broad-leaved fore...

The stability of the main magnetic field is critical for prolonged in vivo magnetic resonance spectroscopy (MRS) acquisitions, especially for difference spectroscopy. This study was focused on the implementation and optimization of a field-frequency lock (FFL) on a whole body spectrometer, to correct the main field drift during localized proton MRS of the human brain. The FFL was achieved throu...

Aghighi and Bäckström have previously studied cost-optimal planning (COP) and net-benefit planning (NBP) for three action cost domains: the positive integers (Z+), the nonnegative integers (Z0) and the positive rationals (Q+). These were indistinguishable under standard complexity analysis for both problems, but separated for COP using parameterised complexity analysis. With the plan cost, k, a...

For simplicity, we adopt the following rules: x, x0, y, y0, z, z0, r denote real numbers, u, u0 denote elements of R3, f , f1, f2 denote partial functions from R3 to R, R denotes a rest, and L denotes a linear function. Let f be a partial function from R3 to R and let u be an element of R3. We say that f is partial differentiable on 1st-1st coordinate in u if and only if the condition (Def. 1) ...

Maximum distance separable (MDS) matrices have applications not only in coding theory but also are of great importance in the design of block ciphers and hash functions. It is highly nontrivial to find MDS matrices which could be used in lightweight cryptography. In a crypto 2011 paper, Guo et. al. proposed a new MDS matrix Serial(1, 2, 1, 4) over F28 . This representation has a compact hardwar...