Coordinate System

In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space. The order of the coordinates is significant and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in 'the x-coordinate'. In elementary mathematics the coordinates are taken to be real numbers, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.

Read more about Coordinate SystemNumber Line, Cartesian Coordinate System, Polar Coordinate System, Cylindrical and Spherical Coordinate Systems, Homogeneous Coordinate System, Coordinates of Other Elements, Transformations Between Coordinate Systems, Coordinate Curves and Surfaces, Coordinate Maps, Change of Coordinates, Transformations, Systems Commonly Used, List of Orthogonal Coordinate Systems

Other articles related to "coordinate system, coordinate, system, systems, coordinate systems, coordinates":

Long College For Women - History - Coordinate System
... As with other coordinate women's institutions of the time, such as Pembroke College of Brown University and Newcomb College of Tulane University, students at Long shared most of the resources ...
Synergetics (Fuller) - Tetrahedral Accounting
... A chief hallmark of this system of mensuration was its unit of volume a tetrahedron defined by four closest-packed unit-radius spheres ... what Fuller called the "isotropic vector matrix" (IVM) for the standard XYZ coordinate system, as his principal conceptual backdrop for special case physicality ... of all the inherent characteristics of all systems and of all systems' inherent complex of interrelationships with Scenario Universe.. ...
List of Orthogonal Coordinate Systems
... The following coordinate systems all have the properties of being orthogonal coordinate systems, that is the coordinate surfaces meet at right angles ... Orthogonal coordinate systems Two dimensional orthogonal coordinate systems Cartesian coordinate system Polar coordinate system Parabolic coordinate system Bipolar coordinates Hyperbolic coordinates Elliptic ...
Surface Second Harmonic Generation - Applications - Molecular Orientation - Calculation of Molecular Orientation
... it is typical to find a uniaxial distribution of the molecules, resulting in x- and y- coordinate terms to be interchangeable ... and βx’x’z’ where ’ terms denote the molecular coordinate system as opposed to the laboratory coordinate system ... θ and Ψ are orientational angles relating the molecular coordinate system to the laboratory coordinate system, and represents the average value of x ...
Light Cone Coordinates
... In relativity, light-cone coordinates is a special coordinate system where two of the coordinates, x+ and x− are null coordinates and all the other ... Instead of the standard coordinate system , with we have with, and ... Both x+ and x- can act as "time" coordinates ...

Famous quotes containing the word system:

    Intimately concerned as we are with the system of Europe, it does not follow that we are therefore called upon to mix ourselves on every occasion, with a restless and meddling activity, in the concerns of the nations which surround us.
    George Canning (1770–1827)