**Transformations**

A **coordinate transformation** is a conversion from one system to another, to describe the same space.

With every bijection from the space to itself two coordinate transformations can be associated:

- such that the new coordinates of the image of each point are the same as the old coordinates of the original point (the formulas for the mapping are the inverse of those for the coordinate transformation)
- such that the old coordinates of the image of each point are the same as the new coordinates of the original point (the formulas for the mapping are the same as those for the coordinate transformation)

For example, in 1D, if the mapping is a translation of 3 to the right, the first moves the origin from 0 to 3, so that the coordinate of each point becomes 3 less, while the second moves the origin from 0 to -3, so that the coordinate of each point becomes 3 more.

Read more about this topic: Coord

### Other articles related to "transformations":

Spin (physics) - Mathematical Formulation of Spin - Spin and Lorentz

... same approach to determine the behavior of spin under general Lorentz

**Transformations**... same approach to determine the behavior of spin under general Lorentz

**transformations**, but we would immediately discover a major obstacle ... Unlike SO(3), the group of Lorentz**transformations**SO(3,1) is non-compact and therefore does not have any faithful, unitary, finite-dimensional ... These spinors transform under Lorentz**transformations**according to the law where are gamma matrices and is an antisymmetric 4x4 matrix parametrizing the ...Spatial ETL - Transform - Common Geometric

... Spatial

**Transformations**... Spatial

**transformations**the ability to model spatial interactions and calculate spatial predicates Topological**transformations**the ability to create ...Spekkens Toy Model - Elementary Systems -

... The only

**Transformations**... The only

**transformations**on the ontic state of the system which respect the knowledge balance principle are permutations of the four ontic states ... qubit states on the Bloch Sphere, these**transformations**consist of the typical allowed permutations of the six analogous states, as well as a set of permutations that are forbidden in the continuous qubit model ... These are**transformations**such as (12)(3)(4) which correspond to antiunitary maps on Hilbert space ...Lie Sphere Geometry in The Plane - Lie

... Any element of the group O(3,2) of orthogonal

**Transformations**... Any element of the group O(3,2) of orthogonal

**transformations**of R3,2 maps any null one dimensional subspaces of R3,2 to another such subspace ... These**transformations**of cycles are called "Lie**transformations**" ... In particular, points are not preserved by general Lie**transformations**...Main Site Subjects

Related Subjects

Related Phrases

Related Words