On the Lattice Structure of Inversive PRNG via the Additive Order
نویسندگان
چکیده
One of the main contributions which Harald Niederreiter made to mathematics is related to pseudorandom sequences theory. In this article, we improve on a bound on one of the pseudorandom number generators (PRNGs) proposed by Harald Niederreiter and Arne Winterhof and study its lattice structure. We obtain that this generator passes general lattice tests for arbitrary lags for high dimensions.
منابع مشابه
A Comparative Solution of Natural Convection in an Open Cavity using Different Boundary Conditions via Lattice Boltzmann Method
A Lattice Boltzmann method is applied to demonstrate the comparison results of simulating natural convection in an open end cavity using different hydrodynamic and thermal boundary conditions. The Prandtl number in the present simulation is 0.71, Rayleigh numbers are 104,105 and 106 and viscosities are selected 0.02 and 0.05. On-Grid bounce-back method with first-order accuracy and non-slip met...
متن کاملFree Vibration of Lattice Cylindrical Composite Shell Reinforced with Carbon Nano-tubes
The free vibration of the lattice cylindrical composite shell reinforced with Carbon Nano-tubes (CNTs) was studied in this study. The theoretical formulations are based on the First-order Shear Deformation Theory (FSDT) and then by enforcing the Galerkin method, natural frequencies are obtained. In order to estimate the material properties of the reinforced polymer with nano-tubes, the modified...
متن کاملExperimental and Numerical Buckling Analysis of Carbon Fiber Composite Lattice Conical Structure before and after Lateral Impact
In this research, the numerical and experimental analysis of the carbon fiber composite lattice conical structure has been performed to assess the buckling stability of the structure before and after the lateral impact. In the experimental analysis, the carbon fiber composite lattice conical structure was constructed with the winding method and using elastic molds and metal mandrel. In or...
متن کاملA Novel Structure for Optical Channel Drop Filter using Two-Dimensional Photonic Crystals with Square Lattice
In the present paper a novel structure for optical channel drop filter (CDF) based on photonic crystal ring resonator with circular core has been proposed. In order to design the proposed CDF, the plan wave expansion (PWE) method is applied for calculation of band structure and photonic band gap while the transmission characteristics of proposed CDF have been calculated using the finite differe...
متن کاملParameter Study of GTN Model in a SLM Manufactured Lattice Structure under Compression by Using FEM
This study investigates the effect of material parameters of the Gurson-Tvergaard-Needleman (GTN) model on the failure prediction of cellular structures. The effect of elastic modulus, calibration parameter of GTN model, isotropic hardening, fracture strain, and strut diameter on the load-displacement curve of a lattice structure fabricated by Selective Laser Melting (SLM) has been studied by u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014