We have investigated statistical properties of the defect turbulence in 1D CGLE wherein many body interaction is involved between local depressing wave (LDW) and local standing wave (LSW). It is shown that the counting number fluctuation of LDW is subject to the sub-Poisson statistics (SUBP). The physical origin of the SUBP can be ascribed to pair extinction of LDWs based on the master equation...

As pulmonary CT has a lot of noise produced by thoracic imaging and partial volume effect, it is difficult that the computer segments out the correct blood vessels for plain thoracic CT. Therefore, after a deep investigation into the enhancement, segmentation methods and the upgrading ability of fractional differential operation, the paper proposes an automatic segmentation method for pulmonary...

the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

A ring-oscillator (RO)-based low-jitter digital fractional-N frequency synthesizer is presented. It employs a doubler (FD) that doubles the reference clock frequency, 2-bit time-to-digital converter (TDC) with optimized thresholds to minimize quantization error, and high-resolution digital-to-time (DTC) cancel error of delta-sigma fractional divider (FDIV). DTC’s linearity improved using piecew...

for various types of risk process X = (X(t), t ≥ 0) and functions f(t). The similar problem of finding the buffer overflow probability appears in the queuing theory for different communication network models. The tasks of such type were solved for many types of processes, including Gaussian ones and aforementioned FBM (see, for example, Norros [1], Michna [2], Baldi and Pacchiarotti [3], etc.)....

In this second installment of a series that aims to investigate the dynamic interaction between the composition and abundance of the solid mantle and its melt products, the classic interpretation of fractional melting is extended to account for the dynamic nature of the process. A multiphase numerical flow model is coupled with the program AlphaMELTS, which provides at the moment possibly the m...