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 System: Number 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
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... of the molecules, resulting in x- and y- coordinate terms to be interchangeable ... are βz’z’z’, βz’x’x’, and βx’x’z’ where ’ terms denote the molecular coordinate system as opposed to the laboratory coordinate system ... angles relating the molecular coordinate system to the laboratory coordinate system, and represents the average value of x ...
... 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 coordinates are spatial ... Instead of the standard coordinate system , with we have with, and ... Both x+ and x- can act as "time" coordinates ...
... 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 ...
... 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 ...
... A chief hallmark of this system of mensuration was its unit of volume a tetrahedron defined by four closest-packed unit-radius spheres ... involved substituting what Fuller called the "isotropic vector matrix" (IVM) for the standard XYZ coordinate system, as his principal conceptual backdrop for special case physicality The synergetics ... independently of all the inherent characteristics of all systems and of all systems' inherent complex of interrelationships with Scenario Universe.. ...
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“In the course of the actual attainment of selfish ends—an attainment conditioned in this way by universality—there is formed a system of complete interdependence, wherein the livelihood, happiness, and legal status of one man is interwoven with the livelihood, happiness, and rights of all. On this system, individual happiness, etc. depend, and only in this connected system are they actualized and secured.”
—Georg Wilhelm Friedrich Hegel (1770–1831)