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In [[mathematics]], the [[Complex dimension|''n''-dimensional]] '''complex coordinate space''' (or '''complex ''n''-space''') is the set of all ordered ''n''-[[t The special case <math>\Complex^2</math>, called the ''complex coordinate plane'', is not to be confused with the [[complex plane]], a graphical repr ...

...[[mathematical space]] in which location can be specified with a single [[coordinate]]. An example is the [[number line]], each [[point (geometry)|point]] of wh Any [[straight line]] or smooth [[curve]] is a one-dimensional space, regardless of the dimension of the [[ambient space]] in which the li ...

...concepts on any form of [[manifold]] without reference to any particular [[coordinate system]]. Coordinate-free treatments generally allow for simpler systems of equations and inherently constrain certain types of inconsistency, allow ...

= '''Conversion of heat transfer equation from one coordinate system to another system through scale analysis''' = ...This article discusses the heat transfer equation in different coordinate systems and the role of scale analysis in simplifying and converting these equation ...

= '''Conversion of heat transfer equation from one coordinate system to another system through scale analysis''' = ...This article discusses the heat transfer equation in different coordinate systems and the role of scale analysis in simplifying and converting these equation ...

'''Phoenix''' is a decentralized [[Network Coordinate System|network coordinate system]] based on the [[matrix factorization]] model.<ref name="Phoenix_Che |title = Phoenix: a weight-based network coordinate system using matrix factorization ...

...tries to give an overview of several coordinate systems in use for the two-dimensional hyperbolic plane. ==Polar coordinate system == ...

...], a '''fractional coordinate system''' (crystal coordinate system) is a [[coordinate system]] in which basis vectors used to describe the space are the lattice ...in crystallography involve two- or three-dimensional space. In the three-dimensional case, the basis vectors <math> \mathbf {a}_1, \mathbf {a}_2, \mathbf {a}_3 ...

...weight&nbsp;''w'') is a [[scalar-valued function]] whose transform under a coordinate transform, on an ''n''-dimensional manifold obeys the following equation ...

{{distinguish|Coordinate lines}} ...ition of a [[Line (geometry)|line]] just as point coordinates (or simply [[Coordinate system|coordinates]]) are used to specify the position of a point. ...

...approach for [[Isotropy|isotropically]] [[band-limiting|band-limited]] two-dimensional [[signals]]<ref name="Petersen62" /> and its use provides a sampling [[Effi ...the introduction of HECS was limited because of the lack of an efficient [[coordinate system]].<ref name="Rummelt11" /> ...

{{for|two-dimensional flows|Stream function}} ...streaklines, and pathlines|streamlines]] and [[flow velocity]] in a three-dimensional [[incompressible flow]] with [[axisymmetry]]. A surface with a constant val ...

==Symmetry and coordinate system== ...nate system]] instead of a [[spherical coordinate system]]. In a Cartesian coordinate system the [[atomic orbital]]s are often expressed as ...

...ral modal-based numerical simulation of transient heat conduction in a one-dimensional homogeneous slab |journal=Energy and Buildings |date=December 2010 |volume= ...designation followed by a number designation. The letter(s) designate the coordinate system, while the numbers designate the type of boundary conditions that ar ...

[[File:Courant Snyder Ellipse.svg|thumb|400px|One dimensional position-momentum plot, showing the beam ellipse described in terms of the ...given axis, and <math>\epsilon</math> is the [[Beam emittance|emittance]]. Three sets of parameters can be calculated for a beam, one for each [[orthogonal] ...

...the fast transverse oscillations of a charged particle in various focusing systems: [[linear accelerator]]s, [[storage ring]]s, transfer channels. Oscillation [[File:Référentiel mobile.png|thumb|250px|Moving coordinate system]] ...

'''Periodic systems of molecules''' are charts of molecules similar to the [[periodic table]] o ==Physical periodic systems of molecules== ...

...ation schemes studied herein since, unlike the classical methods of higher dimensional interpolation which match the primitive function F at a finite number of di | title = Construction of curvilinear coordinate systems and application to mesh generation ...

...escription|The process of projecting a three-dimensional object onto a two-dimensional plane}} ...hat the [[Dimension|dimensions]] and [[Scaling (geometry)|scaling]] of the coordinate axes play a crucial role. The result of an axonometric procedure is a unifo ...

...es. The defining characteristic of Schwarzschild chart is that the radial coordinate possesses a natural geometric interpretation in terms of the surface area a ...define this tensor is to define it in compatible local [[Atlas (topology)|coordinate charts]] and verify that the same tensor is defined on the overlaps of the ...