Coordinate Systems
| Coordinates | Position vector and its differential | Name of coordinate system | Remarks |
|---|---|---|---|
| x, y, z | = ; ; | cartesian | x1, x2, x3 for the coordinates and e1, e2, e3 for the base vectors are also used. This notation easily generalizes to n-mensional space. ex, ey, ex form an orthonormal right-handed system. For the base vectors, i, j, k are also used. |
| ρ, φ, z | = | cylindrical | eρ(φ), eφ(φ), ez form an orthonormal right-handed system. lf z= 0, then ρ and φ are the polar coordinates. |
| r, θ, φ | = r | spherical | er(θ,φ), eθ(θ,φ),eφ(φ) form an orthonormal right-handed system. |
Read more about this topic: ISO 31-11
Famous quotes containing the word systems:
“We have done scant justice to the reasonableness of cannibalism. There are in fact so many and such excellent motives possible to it that mankind has never been able to fit all of them into one universal scheme, and has accordingly contrived various diverse and contradictory systems the better to display its virtues.”
—Ruth Benedict (1887–1948)