Calculation of Mappings Between One andn - dimensional Values Using the HilbertSpace - lling Curve ?
نویسنده
چکیده
This report reproduces and brieey discusses an algorithm proposed by Butz 2] for calculating a mapping between one-dimensional values and n-dimensional values regarded as being the coordinates of points lying on Hilbert Curves. It suggests some practical improvements to the algorithm and presents an algorithm for calculating the inverse of the mapping, from n-dimensional values to one-dimensional values.
منابع مشابه
Calculation of Mappings Between One and n-dimensional Values Using the Hilbert Space-filling Curve
This report reproduces and briefly discusses an algorithm proposed by Butz [2] for calculating a mapping between one-dimensional values and n-dimensional values regarded as being the coordinates of points lying on Hilbert Curves. It suggests some practical improvements to the algorithm and presents an algorithm for calculating the inverse of the mapping, from n-dimensional values to one-dimensi...
متن کاملCalculation of Quasi-one-dimensional Interacting Electron Gas Using the Hartree-Fock Method
In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...
متن کاملCalculation of Mappings Between One and n - dimensional Values Using the Hilbert
This report reproduces and brie y discusses an algorithm proposed by Butz [2] for calculating a mapping between one-dimensional values and n-dimensional values regarded as being the coordinates of points lying on Hilbert Curves. It suggests some practical improvements to the algorithm and presents an algorithm for calculating the inverse of the mapping, from n-dimensional values to one-dimensio...
متن کاملCalculation of Thermodynamic Properties of the Quasi-one Dimensional Liquid 3He at Finite Temperature
We have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3He such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. We have employed the Lennard-Jones potential as the inter-atomic interaction. We have seen that the total energy increases by increasing both temperature and density....
متن کاملContinuous indexing of hierarchical subdivisions of the globe
We describe how to create a continuous global index of the surface of the earth. The model is based on a hierarchical subdivision of the surface into triangular regions, in which each region is assigned a numerical label according to a space lling curve. Sequential labels are assigned to adjacent regions, so labels can be sorted to create a continuous one-dimensional index. Bene ts of this cont...
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 2000