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Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
ArcGIS Desktop Basic, formerly known as ArcView, [79] is the entry level of ArcGIS licensing. With ArcView, one is able to view and edit GIS data held in flat files, or view data stored in a relational database management system by accessing it through ArcSDE. One can also create layered maps and perform basic spatial analysis.
ArcSDE serves data for the advanced ArcGIS Desktop products (ArcView, ArcEditor and ArcInfo); the ArcGIS development products (ArcGIS Engine and ArcGIS Server), ArcView 3.x as well as ArcIMS. It is a key component in managing a multi-user Esri-based GIS .
ArcMap is the former main component of Esri's ArcGIS suite of geospatial processing programs. Used primarily to view, edit, create, and analyze geospatial data. ArcMap allows the user to explore data within a data set, symbolize features accordingly, and create maps.
The term stadia comes from a Greek unit of length Stadion (equal to 600 Greek feet, pous) which was the typical length of a sports stadium of the time. Stadiametric rangefinding is used for surveying and in the telescopic sights of firearms , artillery pieces , or tank guns , as well as some binoculars and other optics.
ArcGIS includes Internet capabilities in all Esri software products. The services, provided through ArcGIS Online at www.arcgis.com, include web APIs, hosted map and geoprocessing services, and a user sharing program. A variety of basemaps is a signature feature of ArcGIS Online.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Some GIS software, such as ArcGIS Pro, natively supports this model, with functionality including animation. Time-stamped boundaries, using the topological vector data model to decompose polygons into boundary segments, and stamping each segment by the time during which it was valid. This method was pioneered by the Great Britain Historical GIS.