Dual quaternion representation of points, lines and planes
migran-nelsonovich-gevorkyan
Предпосылки. В настоящее время геометрическая алгебра рассматривается как универсальный математический аппарат компьютерной графики. В этой области проводятся активные исследования …
The use of generative artificial intelligence (GenAI) in scientific publications requires strict guidelines to ensure transparency, credibility, and ethics of research.
In the modern world, the volume of data stored electronically and transmitted over networks continues to grow rapidly. This trend increases the demand for the development of …
Geometric algebra is currently considered as a universal mathematical apparatus of computer graphics. Active research, both academic and applied, is being conducted in this area. …
We describe the general requirements for the abstract of a scientific article. We recommend to use the structured abstract approach.
Для описания физических и технических систем авторы используют разные реализации алгебры Клиффорда: спиноры, кватернионы, геометрическую алгебру. Формализм геометрической алгебры …
В своих исследованиях авторы активно используют разные разделы геометрии. Для геометрических построений используются подходы и системы компьютерной алгебры. В данный момент нас …
Our group has been investigating kinetic models for quite a long time. The structure of classical kinetic models is described by rather simple assumptions about the interaction of …
There are two main approaches to the numerical solution of the eikonal equation: reducing it to a system of ODES (method of characteristics) and constructing specialized methods …
We describe introduced in the journal the rubric system.
We describe introduced in the journal the rubric system. We describe the general structure of an IMRAD research publication. The IMRAD structure for a research article is described …
We describe the system of ethical disclaimers being introduced in the journal.
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two …
Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly. …
The Julia programming language is a specialized language for scientific computing. It is relatively new, so most of the libraries for it are in the active development stage. In …