In this work we will deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar domains. From the ...

Abstract: The formulas relating to the behavior of long alternating-current lines of uniform resistance, inductance, capacitance and leakance, operated in the steady state, are very simply expressed ...

ABSTRACT: We suggest an original approach to Lobachevski’s geometry and Hilbert’s Fourth Problem, based on the use of the “mathematics of harmony” and special class of hyperbolic functions, the ...

(1) THE increasing importance of hyperbolic functions in several branches of science and technology has led the Smithsonian Institution to furnish the computer with a more complete set of tables of ...

Abstract: In this article, a general memristor model emulator based on the hyperbolic function is proposed. Based on the mathematical model of hyperbolic function memristor, a general circuit model ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

We present a novel framework GraphZoo, that makes learning, using, and designing graph processing pipelines/models systematic by abstraction over the redundant components. The framework contains a ...

This repository is a graph representation learning library, containing an implementation of Hyperbolic Graph Convolutions [1] in PyTorch, as well as multiple embedding approaches including: This ...