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Mapping Cone (homological Algebra)
Mapping may refer to: * Cartography, the process of making a map * Mapping (mathematics), a synonym for a mathematical function and its generalizations ** Mapping (logic), a synonym for functional predicate * Mapping (YouTube content), a genre of audiovisual content involving countries interacting with each other. Types of mapping * Animated mapping, the depiction of events over time on a map using sequential images representing each timeframe * Brain mapping, the techniques used to study the brain * Data mapping, data element mappings between two distinct data models * Digital mapping, the use of a computer to depict spatial data on a map * Gene mapping, the assignment of DNA fragments to chromosomes * Mind mapping, the drawing of ideas and the relations among them * Projection mapping, the projection of videos on the surface of objects with irregular shapes * Robotic mapping, creation and use of maps by robots * Satellite mapping, taking photos of Earth from space * Sp ...
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Cartography
Cartography (; from , 'papyrus, sheet of paper, map'; and , 'write') is the study and practice of making and using maps. Combining science, aesthetics and technique, cartography builds on the premise that reality (or an imagined reality) can be modeled in ways that communicate spatial information effectively. The fundamental objectives of traditional cartography are to: * Set the map's agenda and select traits of the object to be mapped. This is the concern of map editing. Traits may be physical, such as roads or land masses, or may be abstract, such as toponyms or political boundaries. * Represent the terrain of the mapped object on flat media. This is the concern of map projections. * Eliminate the mapped object's characteristics that are irrelevant to the map's purpose. This is the concern of Cartographic generalization, generalization. * Reduce the complexity of the characteristics that will be mapped. This is also the concern of generalization. * Orchestrate the elements ...
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Projection Mapping
Projection mapping, similar to video mapping and spatial augmented reality, is a video projection, projection technique used to turn objects, often irregularly shaped, into display surfaces for video projection. The objects may be complex industrial landscapes, such as buildings, small indoor objects, or theatrical stages. Using specialized software, a two- or three-dimensional object is spatially mapped on the virtual program which mimics the real environment it is to be projected on. The software can then interact with a projector to fit any desired image onto the surface of that object. The technique is used by artists and advertisers who can add extra dimensions, optical illusions, and notions of movement onto previously static objects. The video is commonly combined with or triggered by audio to create an audiovisual narrative. In recent years the technique has also been widely used in the context of cultural heritage, as it has proved to be an excellent Educational entertainm ...
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Mapping Theorem (other)
Mapping theorem may refer to * Continuous mapping theorem In probability theory, the continuous mapping theorem states that continuous functions preserve limits even if their arguments are sequences of random variables. A continuous function, in Heine's definition, is such a function that maps converge ..., a statement regarding the stability of convergence under mappings * Mapping theorem (point process), a statement regarding the stability of Poisson point processes under mappings {{disambiguation ...
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Web Mapping
Web mapping or an online mapping is the process of using, creating, and distributing maps on the World Wide Web (the Web), usually through the use of Web GIS, Web geographic information systems (Web GIS). A web map or an online map is both served and consumed, thus, web mapping is more than just web cartography, it is an interactive service where consumers may choose what the map will show. Introduction The advent of web mapping can be regarded as a major new trend in cartography. Until recently, cartography was restricted to a few :Map companies, companies, institutes and :National cartographic agencies, mapping agencies, requiring relatively expensive and complex hardware and software as well as skilled cartographers and geomatics engineers. Web mapping has brought many geographical datasets, including free ones generated by OpenStreetMap and proprietary datasets owned by Baidu, Google, Here (company), HERE, TomTom, and others. A range of :category:Free GIS software, free so ...
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Texture Mapping
Texture mapping is a term used in computer graphics to describe how 2D images are projected onto 3D models. The most common variant is the UV unwrap, which can be described as an inverse paper cutout, where the surfaces of a 3D model are cut apart so that it can be unfolded into a 2D coordinate space (UV Space). Semantic Texture mapping can both refer to the task of unwrapping a 3D model, the abstract that a 3D model has textures applied to it and the related algorithm of the 3D software. Texture map refers to a Raster graphics also called image, texture. If the texture stores a specific property it's also referred to as color map, roughness map, etc. The coordinate space which converts from the 3D space of a 3D model into a 2D space so that it can sample from the Texture map is called: UV Space, UV Coordinates, Texture Space. Algorithm A simplified explanation of how an algorithm could work to render an image: # For each pixel we trace the coordinates of the screen ...
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Spiritual Mapping
Spiritual mapping refers to the belief among some Christians that specific Demons in Christianity, demons, known as Territorial spirit, territorial spirits, are associated with specific locations and can be conquered through strategic spiritual warfare by plotting out geographical areas and their perceived problems in order to pray on-site. Spiritual mapping is part of the first of three steps in spiritual warfare, defined by sociologists Brad Christerson and Richard Flory as research, prophecy, and intercession. Religious studies scholar Sean McCloud has referred to spiritual mapping as a "Third Wave of the Holy Spirit, Third Wave [Charismatic] version of geomancy that discerns where and why demons control spaces and places, ranging from houses and neighborhoods to entire countries." Concept and history Spiritual mapping is linked to the biblical story in the book of Daniel's final vision, Daniel, chapter 10; an angel tells the prophet Daniel (biblical figure), Daniel that he bat ...
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Satellite Mapping
Satellite images (also Earth observation imagery, spaceborne photography, or simply satellite photo) are images of Earth collected by imaging satellites operated by governments and businesses around the world. Satellite imaging companies sell images by licensing them to governments and businesses such as Apple Maps and Google Maps. History The first images from space were taken on sub-orbital flights. The US-launched V-2 flight on October 24, 1946, took one image every 1.5 seconds. With an apogee of 65 miles (105 km), these photos were from five times higher than the previous record, the 13.7 miles (22 km) by the Explorer II balloon mission in 1935. The first satellite (orbital) photographs of Earth were made on August 14, 1959, by the U.S. Explorer 6. The first satellite photographs of the Moon might have been made on October 6, 1959, by the Soviet satellite Luna 3, on a mission to photograph the far side of the Moon. The Blue Marble photograph was taken from sp ...
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Robotic Mapping
Robotic mapping is a discipline related to computer vision and cartography. The goal for an autonomous robot is to be able to construct (or use) a map (outdoor use) or floor plan (indoor use) and to localize itself and its recharging bases or beacons in it. Robotic mapping is that branch which deals with the study and application of the ability to localize itself in a map/plan, and sometimes to construct the map or floor plan by the autonomous robot. Evolutionarily shaped blind action may suffice to keep some animals alive. For some insects, for example, the environment is not interpreted as a map, and they survive only with a triggered response. A slightly more elaborate navigation strategy dramatically enhances the capabilities of the robot. Cognitive maps enable planning capacities and the use of current perceptions, memorized events, and expected consequences. Operation The robot has two sources of information: the idiothetic and the allothetic sources. When in motion, a ...
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Mind Map
A mind map is a diagram used to visually organize information into a hierarchy, showing relationships among pieces of the whole. It is often based on a single concept, drawn as an image in the center of a blank page, to which associated representations of ideas such as images, words and parts of words are added. Major ideas are connected directly to the central concept, and other ideas branch out from those major ideas. Mind maps can also be drawn by hand, either as "notes" during a lecture, meeting or planning session, for example, or as higher quality pictures when more time is available. Mind maps are considered to be a type of spider diagram. Origin Although the term "mind map" was first popularized by British popular psychology author and television personality Tony Buzan, the use of diagrams that visually "map" information using branching and radial maps traces back centuries. These pictorial methods record knowledge and model systems, and have a long history in learni ...
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Mapping (mathematics)
In mathematics, a map or mapping is a function in its general sense. These terms may have originated as from the process of making a geographical map: ''mapping'' the Earth surface to a sheet of paper. 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. In category theory, a map may refer to a morphism. The term ''transformation'' can be used interchangeably, but ''transformation (function), transformation'' often refers to a function from a set to itself. There are also a few less common uses in logic and graph theory. Maps as functions In many branches of mathematics, the term ''map'' is used to mean a Function (mathematics), function, sometimes with a specific property of particular importance to that branch. For instance, a "map" is a "continuous function" in topology, a "Li ...
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Gene Mapping
Gene mapping or genome mapping describes the methods used to identify the location of a gene on a chromosome and the distances between genes. Gene mapping can also describe the distances between different sites within a gene. The essence of all genome mapping is to place a collection of molecular markers onto their respective positions on the genome. Molecular markers come in all forms. Genes can be viewed as one special type of genetic markers in the construction of genome maps, and mapped the same way as any other markers. In some areas of study, gene mapping contributes to the creation of new recombinants within an organism. Gene maps help describe the spatial arrangement of genes on a chromosome. Genes are designated to a specific location on a chromosome known as the locus and can be used as molecular markers to find the distance between other genes on a chromosome. Maps provide researchers with the opportunity to predict the inheritance patterns of specific traits, which ...
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Digital Mapping
Computer cartography (also called digital cartography) is the art, science, and technology of making and using maps with a computer. This technology represents a paradigm shift in how maps are produced, but is still fundamentally a subset of traditional cartography. The primary function of this technology is to produce maps, including creation of accurate representations of a particular area such as, detailing major road arteries and other points of interest for navigation, and in the creation of thematic maps. Computer cartography is one of the main functions of geographic information systems (GIS), however, GIS is not necessary to facilitate computer cartography and has functions beyond just making maps. The first peer-reviewed publications on using computers to help in the cartographic process predate the introduction of full GIS by several years. Computer cartography is employed to facilitate a variety of computer applications, often through integration with the Global Positio ...
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