Results 241 to 250 of about 195,620 (294)

Study on Gradation Fractal Cartesian Coordinate System of Asphalt Mixture

Advanced Materials Research, 2013
In order to explore intrinsic relation of continuous, interlocked-dense and gap gradation, this paper studied them by fractal regression analysis, by which a gradation distribution Cartesian coordinate system was established and slope of the gradation was proposed at the same time.
Lin Ping Li, Fei Zhang, Jiang Yu, Fan Zhang   +3 more
exaly   +2 more sources

A Cartesian coordinate system for human cerebral cortex

Journal of Neuroscience Methods, 2003
The most commonly used method for specifying the locations of functional areas in the human cerebral cortex is the coordinate system of Talairach and Tournoux (Co-planar Stereotaxic Altas of The Human Brain (1988) Georg Thieme Verlag, Stuttgart). It was designed to locate subcortical nuclei by reference to an axis joining the anterior and posterior ...
David F, Li, Alan W, Freeman, Hoang, Tran-Dinh, John G, Morris   +3 more
openaire   +2 more sources

Imaginary Points in Cartesian Coordinate System

Geometry & Graphics, 2019
Geometric models are considered that allow symbolic representation of imaginary points on a real Cartesian coordinate plane XY. The models are based on the fact that through every pair of imaginary conjugate points A~B with complex coordinates x = a ± jb, y = c ± jd one unique real line m passes. For the image of imaginary points, it is proposed to use
Viktor Korotkiy, A. Girsh
openaire   +1 more source

PSO Based on Cartesian Coordinate System

2014
In order to deal with the problems of the slow convergence and easily converging to local optima, a classification learning PSO is proposed based on hyperspherical coordinates. The method of determination of poor performance particle is presented, and the swarm is divided into three parts where three learning strategies are introduced to improve the ...
Yanmin Liu, Zhuanzhou Zhang, Yuanfeng Luo, Xiangbiao Wu   +3 more
openaire   +1 more source

Lateral-torsional bucking of parabolic arches in Cartesian coordinate system

Structures
Qihan Wang
exaly   +2 more sources

Discretization of Macroscopic Transport Equations on Non-Cartesian Coordinate Systems

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2007
We discuss discretization schemes for the Poisson equation, the isothermal drift-diffusion equations, and higher order moment equations derived from the Boltzmann transport equation for general coordinate systems. We briefly summarize the method of dimension reduction when the problem does not depend on one coordinate.
Michael Spevak, Tibor Grasser
openaire   +1 more source

Imaginary Straight Lines in Cartesian Coordinate System

Geometry & Graphics, 2020
A geometric model of imaginary conjugate straight lines a~b, allowing symbolic representation of these lines on the real coordinate plane xy is considered. In order to connect the algebraic and geometric representations of imaginary straight lines, it is proposed to use the “mark” formed by orthogonal d1 ⊥ d2 and main g1~g2 directions of the elliptic ...
openaire   +1 more source

A Cartesian Coordinate Algorithm for Power System State Estimation

IEEE Transactions on Power Apparatus and Systems, 1983
This paper presents a new steady-state estimator based on the Cartesian coordinate formulation of nodal and line flow equations and minimization of weighted least squares (WLS) of the residuals. The fact that the rectangular coordinate version of network Performance equations is completely expressible in a Taylor series and contains terms up to the ...
N. D. Rao, L. Roy
openaire   +1 more source

Crossing rules in Cartesian and standard coordinate systems

Journal of Mathematical Physics, 1986
A vectorial and a tensorial crossing rule are defined in Cartesian coordinate systems. Different applications are given. With a particular choice of the standardization coefficient of vectors the same expression of dot and vector products in the standard and Cartesian coordinate systems results.
openaire   +1 more source

A Recipe for Transforming ICRS Coordinates to a Cartesian Coordinate System Centered on a Cluster

Research Notes of the AAS, 2020
Abstract For the purpose of studying internal kinematics of a star cluster it is often convenient to convert the astrometric parameters of its members into cluster-centered Cartesian coordinates. I provide a detailed and rigorous derivation of such a coordinate transformation and briefly compare it with a selection of published ...
openaire   +1 more source