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  2. List of built-in iOS apps - Wikipedia

    en.wikipedia.org/wiki/List_of_built-in_iOS_apps

    Maps is a web mapping app and service introduced with the initial launch of the original iPhone and iPhone OS 1 in 2007. [8] It provides turn-by-turn directions and estimated times of arrival for automobile, pedestrian, cycling and public transportation navigation.

  3. Closed graph property - Wikipedia

    en.wikipedia.org/wiki/Closed_graph_property

    Then Id : X → Y is a linear map whose graph is closed in X × Y but it is clearly not continuous (since singleton sets are open in Y but not in X). [4] Let (X, 𝜏) be a Hausdorff TVS and let 𝜐 be a vector topology on X that is strictly finer than 𝜏. Then the identity map Id : (X, 𝜏) → (X, 𝜐) is a closed discontinuous linear ...

  4. Linear map - Wikipedia

    en.wikipedia.org/wiki/Linear_map

    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.

  5. Web Mercator projection - Wikipedia

    en.wikipedia.org/wiki/Web_Mercator_projection

    The standard style for OpenStreetMap, like most Web maps, uses the Web Mercator projection. Web Mercator, Google Web Mercator, Spherical Mercator, WGS 84 Web Mercator [1] or WGS 84/Pseudo-Mercator is a variant of the Mercator map projection and is the de facto standard for Web mapping applications. It rose to prominence when Google Maps adopted ...

  6. Google Maps Navigation - Wikipedia

    en.wikipedia.org/wiki/Google_Maps_Navigation

    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]

  7. Open mapping theorem (functional analysis) - Wikipedia

    en.wikipedia.org/wiki/Open_mapping_theorem...

    Nearly/Almost open linear maps. A linear map : between two topological vector spaces (TVSs) is called a nearly open map (or sometimes, an almost open map) if for every neighborhood of the origin in the domain, the closure of its image ⁡ is a neighborhood of the origin in . [18] Many authors use a different definition of "nearly/almost open ...

  8. Map (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Map_(mathematics)

    The term map may be used to distinguish some special types of functions, such as homomorphisms. For example, a linear map is a homomorphism of vector spaces, while the term linear function may have this meaning or it may mean a linear polynomial. [3] [4] In category theory, a map may refer to a morphism. [2]

  9. Invariant subspace - Wikipedia

    en.wikipedia.org/wiki/Invariant_subspace

    Let End(V) be the set of all linear operators on V. Then Lat(End(V))={0,V}. Given a representation of a group G on a vector space V, we have a linear transformation T(g) : V → V for every element g of G. If a subspace W of V is invariant with respect to all these transformations, then it is a subrepresentation and the group G acts on W in a ...