Search results
Results from the WOW.Com Content Network
A conformal map acting on a rectangular grid. Note that the orthogonality of the curved grid is retained. While vector operations and physical laws are normally easiest to derive in Cartesian coordinates, non-Cartesian orthogonal coordinates are often used instead for the solution of various problems, especially boundary value problems, such as those arising in field theories of quantum ...
Fig.2 Orthogonal Grids Fig.3 Non-Orthogonal Grids. a) Structured curvilinear grid arrangements (vertices having similar neighborhood). b) Unstructured grid arrangements (vertices having variation in neighborhood). Structured curvilinear grids. 1) Grid points are identified at the intersection of coordinate line.
The line segments AB and CD are perpendicular to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Although many authors use the two terms perpendicular and orthogonal interchangeably, the term perpendicular is more specifically used for lines and planes that intersect to form a right angle, whereas orthogonal is used in generalizations ...
A rectangular grid (top) ... a conformal map is a function that locally preserves angles, ... (orthogonal with determinant one). Some authors define conformality to ...
In urban planning, the grid plan, grid street plan, or gridiron plan is a type of city plan in which streets run at right angles to each other, forming a grid. [ 1 ] Two inherent characteristics of the grid plan, frequent intersections and orthogonal geometry, facilitate movement.
A Cartesian coordinate system in two dimensions (also called a rectangular coordinate system or an orthogonal coordinate system [8]) is defined by an ordered pair of perpendicular lines (axes), a single unit of length for both axes, and an orientation for each axis. The point where the axes meet is taken as the origin for both, thus turning ...
The grid is rectangular, with a set number of orthogonal coordinates (usually latitude and longitude). At a given latitude (or parallel), the gridpoints are equally spaced. On the contrary along a longitude (or meridian) the gridpoints are unequally spaced. The spacing between grid points is defined by Gaussian quadrature.
Geodetic latitude and geocentric latitude have different definitions. Geodetic latitude is defined as the angle between the equatorial plane and the surface normal at a point on the ellipsoid, whereas geocentric latitude is defined as the angle between the equatorial plane and a radial line connecting the centre of the ellipsoid to a point on the surface (see figure).