Cartesian coordinates/Related Articles: Difference between revisions

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Revision as of 10:41, 11 January 2010

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A list of Citizendium articles, and planned articles, about Cartesian coordinates.
See also changes related to Cartesian coordinates, or pages that link to Cartesian coordinates or to this page or whose text contains "Cartesian coordinates".

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  • Affine space [r]: Collection of points, none of which is special; an n-dimensional vector belongs to any pair of points. [e]
  • Curl [r]: A vector operator that describes the rotation of a vector field. [e]
  • Dirac delta function [r]: Sharply peaked function, generalization of the Kronecker delta; a distribution that maps a regular function onto a single function value. [e]
  • Euler angles [r]: three rotation angles that describe any rotation of a 3-dimensional object. [e]
  • Jacobian [r]: Determinant of the matrix whose ith row lists all the first-order partial derivatives of the function ƒi(x1, x2, …, xn). [e]
  • Line (geometry) [r]: (or straight line) In elementary geometry, a maximal infinite curve providing the shortest connection between any two of its points. [e]
  • Linear algebra [r]: Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. [e]
  • Momentum [r]: mass of a particle times its velocity (a vector). [e]
  • Multipole expansion of electric field [r]: an expansion in terms of powers of 1/R of an electric potential outside a charge distribution; R is the distance of a point outside to a point inside the charge distribution. [e]
  • Plane (geometry) [r]: In elementary geometry, a flat surface that entirely contains all straight lines passing through two of its points. [e]
  • Point (geometry) [r]: An object that has a position but no length, breadth or depth. [e]
  • Polar coordinates [r]: Two numbers—a distance and an angle—that specify the position of a point on a plane. [e]
  • Polarizability [r]: The ease by which a charge-distribution polarizes; describes the amount of charge separation caused by an electric field. [e]
  • Relative permittivity [r]: A factor describing the polarizability of a material or medium as a proportionality between an electric displacement and an electric field in a dielectric. [e]
  • René Descartes [r]: French 17th-century philosopher, mathematician and scientist, author of the Discourse on Method. [e]
  • Right-hand rule [r]: Rule for the direction of the vector describing a cross product, a torque, or an angular momentum. [e]
  • Rotation matrix [r]: a 3×3 proper (unit determinant) orthogonal (orthonormal rows and columns) matrix [e]
  • Sine [r]: In a right triangle, the ratio of the length of the side opposite an acute angle (less than 90 degrees) and the length of the hypotenuse. [e]
  • Spherical harmonics [r]: A series of harmonic basis functions that can be used to describe the boundary of objects with spherical topology. [e]
  • Spherical polar coordinates [r]: Angular coordinates on a sphere: longitude angle φ, colatitude angle θ [e]