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.
This paper proposes an original approach to calculating integrals of rapidly oscillating functions, based on Levin’s algorithm, which reduces the search for an anti-derivative …
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 …
A numerical algorithm for solving exact differential equations is proposed, based both on the efficient calculation of integrating factors and on a “new” numerical method for …
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 …