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In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication.
Google Maps Navigation is a mobile application developed by Google for the Android and iOS operating systems that later integrated into the Google Maps mobile app. The application uses an Internet connection to a GPS navigation system to provide turn-by-turn voice-guided instructions on how to arrive at a given destination. [1]
Google Maps is available as a mobile app for the Android and iOS mobile operating systems. The first mobile version of Google Maps (then known as Google Local for Mobile) was launched in beta in November 2005 for mobile platforms supporting J2ME. [194] [195] [196] It was released as Google Maps for Mobile in 2006. [197]
For instance, a "map" is a "continuous function" in topology, a "linear transformation" in linear algebra, etc. Some authors, such as Serge Lang, [8] use "function" only to refer to maps in which the codomain is a set of numbers (i.e. a subset of R or C), and reserve the term mapping for more general functions.
Apple Maps is a web mapping service developed by Apple Inc. As the default map system of iOS, iPadOS, macOS, and watchOS, it provides directions and estimated times of arrival for driving, walking, cycling, and public transportation navigation.
The navigation interface provides scroll and zoom functionality similar to that of Google Maps. The Wikimapia layer is a collection of "objects" with a polygonal outline (like buildings, forests, or lakes) and "linear features" (streets, railroads, rivers, ferry). Streets are connected by intersection points to form a street grid.
Google Map Maker was a map editing service launched by Google in June 2008. [2] In geographies where it is hard to find providers of good map data, user contributions were used to increase map quality. Changes to Google Map Maker were intended to appear on Google Maps only after sufficient review by
In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described below, for certain broad categories of topological vector spaces, all surjective linear operators are necessarily almost open.