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1. Coordinates: Latitude (abbreviation: Lat., φ, or phi) is the angle from a point on the Earth's surface and the equatorial plane, measured from the center of the sphere. Lines joining points of the same latitude are called parallels, which trace concentric ... [100%] 2023-11-10
2. Coordinates: Numbers, quantities, used to specify (or determine) the position of some kind of element (point) in a collection (a set $M$), e.g. on a plane or a surface, in a space, on a manifold. (Mathematics) [100%] 2023-10-27
3. Coordinate systems: This resource focuses on an introduction suitable for an introductory college physics course in electromagnetism. We describe three different coordinate systems, known as Cartesian, cylindrical and spherical. [78%] 2023-10-28 [Mathematics] [Physics]...
4. Coordinate vector: In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers (a tuple) that describes the vector in terms of a particular ordered basis. An easy example may be a position such as ... (Concept in linear algebra) [78%] 2024-01-01 [Linear algebra] [Vectors (mathematics and physics)]...
5. Coordinate time: In the theory of relativity, it is convenient to express results in terms of a spacetime coordinate system relative to an implied observer. In many (but not all) coordinate systems, an event is specified by one time coordinate and three ... (Physics) [78%] 2023-12-01 [Theory of relativity] [Time scales]...
6. Coordinate plane: In mathematics, the coordinate plane is a name for the plane , where points are given a coordinate that is a combination of the x-axis and y-axis. These two axes are known as the principal axes of the coordinate ... [78%] 2023-03-11 [Mathematics]
7. Coordinate transformations: In three dimensions, the vector transformation rule is written as where l i j = e i ′ ∙ e j = cos ⁡ ( e i ′ , e j ) {\displaystyle \textstyle l_{ij}=\mathbf {e} _{i}^{'}\bullet \mathbf {e} _{j}=\cos(\mathbf {e} _ ... [78%] 2023-12-31 [Elasticity] [Solid mechanics]...
8. Coordinate conditions: In general relativity, the laws of physics can be expressed in a generally covariant form. In other words, the description of the world as given by the laws of physics does not depend on our choice of coordinate systems. (Physics) [78%] 2023-12-14 [Coordinate charts in general relativity]
9. Coordinate descent: Coordinate descent is an optimization algorithm that successively minimizes along coordinate directions to find the minimum of a function. At each iteration, the algorithm determines a coordinate or coordinate block via a coordinate selection rule, then exactly or inexactly minimizes ... (Mathematical algorithm) [78%] 2024-01-01 [Gradient methods]
10. Coordinate space: In mathematics, a coordinate space is a space in which an ordered list of coordinates, each from a set (not necessarily the same set), collectively determine an element (or point) of the space – in short, a space with a coordinate ... [78%] 2024-03-06 [Linear algebra]
11. List of coordinate charts: This article attempts to conveniently list articles on some of the most useful coordinate charts in some of the most useful examples of Riemannian manifolds. The notion of a coordinate chart is fundamental to various notions of a manifold which ... (none) [75%] 2023-10-12 [Mathematics-related lists]
12. Polar coordinates: In mathematics and physics, polar coordinates are two numbers—a distance and an angle—that specify the position of a point on a plane. In their classical ("pre-vector") definition, polar coordinates give the position of a point P with ... [70%] 2023-10-17
13. Born coordinates: In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of observers who ride on a ring or disk ... (Physics) [70%] 2023-11-17 [Coordinate charts in general relativity]
14. Rindler coordinates: Rindler coordinates are a coordinate system used in the context of special relativity to describe the hyperbolic acceleration of a uniformly accelerating reference frame in flat spacetime. In relativistic physics the coordinates of a hyperbolically accelerated reference frame constitute an ... [70%] 2023-11-09 [Theory of relativity] [Coordinate charts in general relativity]...
15. Cartesian coordinates: A method of defining the location of points on a plane by their distances from two fixed perpendicular straight lines (axes). This concept can already be found in the works of Archimedes and Apollonius more than two thousand years ago ... (Mathematics) [70%] 2023-10-17
16. Galactic Coordinates: Galactic Coordinates are sky location coordinates given with respect to the center of the Milky Way Galaxy (our galaxy). The Milky Way galaxy is a spiral galaxy - very flat with a bulging core. [70%] 2023-02-05 [Astronomy]
17. Spherical coordinates: Spherical coordinates are a way to describe the location of a point in three-dimensional space based on , the distance from the origin (where ); , the angle between the point and the x-z plane (in the positive x direction); and ... [70%] 2023-03-23 [Mathematics] [Geometry]...
18. Homogeneous coordinates: Coordinates having the property that the object determined by them does not change if all the coordinates are multiplied by the same non-zero number. Such, for example, are projective coordinates; Plücker coordinates and pentaspherical coordinates. (Mathematics) [70%] 2023-10-17
19. Cylindrical coordinates: The cylindrical coordinates are related to Cartesian coordinates (x,y,z) by: The matrix A ( Coordinate Systems) relating the two sets of unit vectors is: The volume element is , and the distance element is . The Laplace differential equation becomes in ... [70%] 2022-11-21 [W.Krisher and R.Bock] [Data analysis]...
20. Weierstrass coordinates: A type of coordinates in an elliptic space. Let $M^n$ be an elliptic space obtained by the identification of diametrically-opposite points of the unit sphere $S^n$ in $(n+1)$-dimensional Euclidean space. (Mathematics) [70%] 2023-10-13