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The fundamental method to create a buffer around a geographic feature stored in a vector data model, with a given radius r is as follows: [4] Single point: Create a circle around the point with radius r. Polyline, which consists of an ordered list of points (vertices) connected by straight lines. This is also used for the boundary of a polygon.
A geofence can be dynamically generated (as in a radius around a point location) or match a predefined set of boundaries (such as school zones or neighborhood boundaries). The use of a geofence is called geofencing , and one example of use involves a location-aware device of a location-based service (LBS) user entering or exiting a geofence.
The cyclocycloid (in this case an epicycloid) with R = 3, r = 1 and d = 1/2. A cyclocycloid is a roulette traced by a point attached to a circle of radius r rolling around, a fixed circle of radius R, where the point is at a distance d from the center of the exterior circle.
Roughly, it states that within a fixed radius, usually called the Margulis constant, the structure of the orbits of such a group cannot be too complicated. More precisely, within this radius around a point all points in its orbit are in fact in the orbit of a nilpotent subgroup (in fact a bounded finite number of such).
The point P is the inversion point of Q; the polar is the line through P that is perpendicular to the line containing O, P and Q. If point R is the inverse of point P then the lines perpendicular to the line PR through one of the points is the polar of the other point (the pole). Poles and polars have several useful properties:
The exponential map of the Earth as viewed from the north pole is the polar azimuthal equidistant projection in cartography. In Riemannian geometry, an exponential map is a map from a subset of a tangent space T p M of a Riemannian manifold (or pseudo-Riemannian manifold) M to M itself. The (pseudo) Riemannian metric determines a canonical ...
T Map by SK Telecom; One Navi by KT corporation; Spain. Spanish official cartography website, including National Topographic Maps MTN50 (1:50,000 scale) and MTN25 (1:25,000 scale). SITPA-IDEAS, Asturias regional maps. Sweden. Eniro.se, also covers Denmark, Finland and Norway; Hitta.se; Thailand "Longdo Map", by Longdo.
Gauss's circle problem asks how many points there are inside this circle of the form (,) where and are both integers. Since the equation of this circle is given in Cartesian coordinates by x 2 + y 2 = r 2 {\displaystyle x^{2}+y^{2}=r^{2}} , the question is equivalently asking how many pairs of integers m and n there are such that