Search results
Results from the WOW.Com Content Network
Each Plücker coordinate appears in two of the four equations, each time multiplying a different variable; and as at least one of the coordinates is nonzero, we are guaranteed non-vacuous equations for two distinct planes intersecting in L. Thus the Plücker coordinates of a line determine that line uniquely, and the map α is an injection.
An apostrophe is used in time and money references in constructions such as one hour's respite, two weeks' holiday, a dollar's worth, five pounds' worth, one mile's drive from here. This is like an ordinary possessive use. For example, one hour's respite means a respite of one hour (exactly as the cat's whiskers means the whiskers of the cat).
In the passive transformation (right), point P stays fixed, while the coordinate system rotates counterclockwise by an angle θ about its origin. The coordinates of P ′ after the active transformation relative to the original coordinate system are the same as the coordinates of P relative to the rotated coordinate system.
The proper light-travel time from L 1 to L 2 Δt 12 is 1.311, from L 2 to L 1 Δt 21 is 1.510, the proper light-travel times are not symmetrical but the radar distance (Δt 12 + Δt 21)/2 is. For ω → 0 both proper light-travel times tend toward √ 2 = 1.414.
Similarly, the term "UTC" is not appropriate for dates before this system was adopted in 1960; [2] Universal Time (UT) is the appropriate term for the mean time at the prime meridian (Greenwich) when it is unnecessary to specify the precise definition of the time scale. Be sure to show the UTC or offset appropriate to the clock time in use at ...
Geodetic coordinates are a type of curvilinear orthogonal coordinate system used in geodesy based on a reference ellipsoid. They include geodetic latitude (north/south) ϕ , longitude (east/west) λ , and ellipsoidal height h (also known as geodetic height [ 1 ] ).
A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.
The vector of coordinates forms the coordinate vector or n-tuple (x 1, x 2, …, x n). Each coordinate x i may be parameterized a number of parameters t. One parameter x i (t) would describe a curved 1D path, two parameters x i (t 1, t 2) describes a curved 2D surface, three x i (t 1, t 2, t 3) describes a curved 3D volume of space, and so on.