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:
“People stress the violence. Thats the smallest part of it. Football is brutal only from a distance. In the middle of it theres a calm, a tranquility. The players accept pain. Theres a sense of order even at the end of a running play with bodies stewn everywhere. When the systems interlock, theres a satisfaction to the game that cant be duplicated. Theres a harmony.”
—Don Delillo (b. 1926)