Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about...

}\end{aligned}}} Look up toroidal or poloidal in Wiktionary, the free dictionary. Toroidal coordinates Torus Zonal and poloidal Poloidal–toroidal decomposition Zonal...

up toroidal in Wiktionary, the free dictionary. Toroidal describes something which resembles or relates to a torus or toroid: Toroidal coordinates, a...

of the circle, together with an expanding self-immersion. In the toroidal coordinates with radius R {\displaystyle R} , the solenoid can be parametrized...

i.e., the axis connecting the foci. The toroidal coordinates are produced by rotating the bipolar coordinates about the y-axis, i.e., the axis separating...

the number of holes. The term "toroidal polyhedron" is also used for higher-genus polyhedra and for immersions of toroidal polyhedra. The homeomorphism...

degree or toroidal functions of zeroth order. They have solved numerous problems which exhibit circular cylindrical symmetry employing the toroidal functions...

with the exception of toroidal), and the Helmholtz equation is separable in 11 orthogonal coordinate systems. Orthogonal coordinates never have off-diagonal...

the curl of a toroidal field is poloidal, and the curl of a poloidal field is toroidal, known as Chandrasekhar–Kendall function. A toroidal vector field...

A vortex ring, also called a toroidal vortex, is a torus-shaped vortex in a fluid; that is, a region where the fluid mostly spins around an imaginary axis...

The outer toroidal magnetic field is produced by eight very large air-core superconducting barrel loops and two smaller end-caps air toroidal magnets,...

coordinate in polar, cylindrical, spherical, and toroidal coordinate systems, and toroidal and poloidal coordinates of the Earth's magnetic field. The correlation...

spherical harmonics, now that we view the equations in terms of toroidal coordinates, whole new symmetries of Legendre functions arise. For associated...

and angle coordinates: Polar coordinate system Spherical coordinate system Cylindrical coordinate system Toroidal coordinate system Toroidal and poloidal...

magnetic coordinates. However, in the fusion context, usage is restricted to the context of zonal plasma flows and there will in general be a toroidal component...

3-sphere is an example of a 3-manifold, and it is also an n-sphere. In coordinates, a 3-sphere with center (C0, C1, C2, C3) and radius r is the set of all...

neoclassical diffusion is a theoretical description of collisional transport in toroidal plasmas, usually found in tokamaks or stellarators. It is a modification...

Adventures Among the Toroids (1970) ISBN 978-0-686-11936-4 "Adventures Among the Toroids - Chapter 5 - Simplest (R)(A)(Q)(T) Toroids of genus p=1". Read...

case of toroidal axisymmetry (the case relevant in a tokamak). Taking ( r , θ , z ) {\displaystyle (r,\theta ,z)} as the cylindrical coordinates, the flux...

embeddings of a data set into Euclidean space (often low-dimensional) whose coordinates can be computed from the eigenvectors and eigenvalues of a diffusion...

Map all coordinates in "Operation Fishbowl" using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary...

similar name: the nonconvex great rhombicuboctahedron. The Cartesian coordinates for the vertices of a truncated cuboctahedron having edge length 2 and...

compact toroid class. Taylor went on to study the ballooning transformation, a problem that was occurring in the latest high-performance toroidal machines...

magnets are used in particle accelerators Solid harmonics Toroidal moment Dynamic toroidal dipole Edmonds, A. R. (1960). Angular Momentum in Quantum Mechanics...

Kempf, G.; Knudsen, Finn Faye; Mumford, David; Saint-Donat, B. (1973), Toroidal embeddings. I, Lecture Notes in Mathematics, vol. 339, Berlin, New York:...

The Enormous Toroidal Plasma Device (ETPD) is an experimental physics device housed at the Basic Plasma Science Facility at University of California, Los...

5 − 1 {\displaystyle {\sqrt {5}}-1} is by union of the orbits of the coordinates ( 0 , 0 , 1 ) , ( 5 − 1 2 , 1 , 5 − 1 2 ) , ( 5 − 1 2 , 5 + 1 2 ) . {\displaystyle...

magnet, poloidal magnets around the edges of the tokamak, 18 D-shaped toroidal-field coils, and correction coils. A solid confinement vessel is also needed...

standing waves. For an elastic, isotropic, homogeneous sphere, spheroidal, toroidal and radial (or breathing) modes arise. Spheroidal modes only involve P...

internal toroidal magnetic field to the external poloidal field, and sunspots diminish in number and size. At solar-cycle minimum, the toroidal field is...