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114-499: Cartographers can link to or download the NHD to use in their computer mapping software. The NHD is used to represent surface water on maps and is also used to perform geospatial analysis. It is a digital vector geospatial dataset designed for use in geographic information systems (GIS) to analyze the flow of water throughout the nation. The dataset represents over 7.5-million miles of streams/rivers and 6.5-million lake/ponds. In mapping,

228-504: A ground sample distance of 1 inch (2.54 cm) in only 12 minutes. The majority of digital data currently comes from photo interpretation of aerial photographs. Soft-copy workstations are used to digitize features directly from stereo pairs of digital photographs. These systems allow data to be captured in two and three dimensions, with elevations measured directly from a stereo pair using principles of photogrammetry . Analog aerial photos must be scanned before being entered into

342-409: A "real" physical location or extent. This key characteristic of GIS has begun to open new avenues of scientific inquiry and studies. While digital GIS dates to the mid-1960s, when Roger Tomlinson first coined the phrase "geographic information system", many of the geographic concepts and methods that GIS automates date back decades earlier. One of the first known instances in which spatial analysis

456-451: A . The pulse is reflected from a mirror situated a distance a from the light source (event Q), and returns to the light source at x ′ = 0,  ct ′ =  a (event R). The same events P, Q, R are plotted in Fig. 2-3b in the frame of observer O. The light paths have slopes = 1 and −1, so that △PQR forms a right triangle with PQ and QR both at 45 degrees to

570-596: A GIS database, which can be grouped into three categories: primary data capture , the direct measurement phenomena in the field (e.g., remote sensing , the global positioning system ); secondary data capture , the extraction of information from existing sources that are not in a GIS form, such as paper maps, through digitization ; and data transfer , the copying of existing GIS data from external sources such as government agencies and private companies. All of these methods can consume significant time, finances, and other resources. Survey data can be directly entered into

684-567: A GIS for both kinds of abstractions mapping references: raster images and vector . Points, lines, and polygons represent vector data of mapped location attribute references. A new hybrid method of storing data is that of identifying point clouds, which combine three-dimensional points with RGB information at each point, returning a 3D color image . GIS thematic maps then are becoming more and more realistically visually descriptive of what they set out to show or determine. GIS data acquisition includes several methods for gathering spatial data into

798-551: A GIS from digital data collection systems on survey instruments using a technique called coordinate geometry (COGO). Positions from a global navigation satellite system ( GNSS ) like the Global Positioning System can also be collected and then imported into a GIS. A current trend in data collection gives users the ability to utilize field computers with the ability to edit live data using wireless connections or disconnected editing sessions. The current trend

912-556: A broader sense, one may consider such a system also to include human users and support staff, procedures and workflows, the body of knowledge of relevant concepts and methods, and institutional organizations. The uncounted plural, geographic information systems , also abbreviated GIS, is the most common term for the industry and profession concerned with these systems. It is roughly synonymous with geoinformatics . The academic discipline that studies these systems and their underlying geographic principles, may also be abbreviated as GIS, but

1026-411: A constant rate of passage, independent of the observer's state of motion , or anything external. It assumes that space is Euclidean : it assumes that space follows the geometry of common sense. In the context of special relativity , time cannot be separated from the three dimensions of space, because the observed rate at which time passes for an object depends on the object's velocity relative to

1140-445: A fourth dimension, it is treated differently than the spatial dimensions. Minkowski space hence differs in important respects from four-dimensional Euclidean space . The fundamental reason for merging space and time into spacetime is that space and time are separately not invariant, which is to say that, under the proper conditions, different observers will disagree on the length of time between two events (because of time dilation ) or

1254-478: A full suite of capabilities for entering, managing, analyzing, and visualizing geographic data, and are designed to be used on their own. Starting in the late 1990s with the emergence of the Internet , as computer network technology progressed, GIS infrastructure and data began to move to servers , providing another mechanism for providing GIS capabilities. This was facilitated by standalone software installed on

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1368-507: A geographic methodology in pinpointing the source of an outbreak in epidemiology. While the basic elements of topography and theme existed previously in cartography , Snow's map was unique due to his use of cartographic methods, not only to depict, but also to analyze clusters of geographically dependent phenomena. The early 20th century saw the development of photozincography , which allowed maps to be split into layers, for example one layer for vegetation and another for water. This

1482-453: A great shock when Einstein published his paper in which the equivalence of the different local times of observers moving relative to each other was pronounced; for he had reached the same conclusions independently but did not publish them because he wished first to work out the mathematical structure in all its splendor. He never made a priority claim and always gave Einstein his full share in the great discovery. Minkowski had been concerned with

1596-574: A light signal in that same time interval Δ t {\displaystyle \Delta t} . If the event separation is due to a light signal, then this difference vanishes and Δ s = 0 {\displaystyle \Delta s=0} . When the event considered is infinitesimally close to each other, then we may write In a different inertial frame, say with coordinates ( t ′ , x ′ , y ′ , z ′ ) {\displaystyle (t',x',y',z')} ,

1710-434: A location. In Fig. 1-1, imagine that the frame under consideration is equipped with a dense lattice of clocks, synchronized within this reference frame, that extends indefinitely throughout the three dimensions of space. Any specific location within the lattice is not important. The latticework of clocks is used to determine the time and position of events taking place within the whole frame. The term observer refers to

1824-449: A map made against a local datum may not be the same as one obtained from a GPS receiver . Converting coordinates from one datum to another requires a datum transformation such as a Helmert transformation , although in certain situations a simple translation may be sufficient. In popular GIS software, data projected in latitude/longitude is often represented as a Geographic coordinate system . For example, data in latitude/longitude if

1938-442: A mere shadow, and only some sort of union of the two shall preserve independence." Space and Time included the first public presentation of spacetime diagrams (Fig. 1-4), and included a remarkable demonstration that the concept of the invariant interval ( discussed below ), along with the empirical observation that the speed of light is finite, allows derivation of the entirety of special relativity. The spacetime concept and

2052-410: A new dimension to business intelligence termed " spatial intelligence " which, when openly delivered via intranet, democratizes access to geographic and social network data. Geospatial intelligence , based on GIS spatial analysis, has also become a key element for security. GIS as a whole can be described as conversion to a vectorial representation or to any other digitisation process. Geoprocessing

2166-419: A person moving with respect to the first observer will see the two events occurring at different places, because the moving point of view sees itself as stationary, and the position of the event as receding or approaching. Thus, a different measure must be used to measure the effective "distance" between two events. In four-dimensional spacetime, the analog to distance is the interval. Although time comes in as

2280-998: A relational database containing text or numbers can relate many different tables using common key index variables, GIS can relate otherwise unrelated information by using location as the key index variable. The key is the location and/or extent in space-time. Any variable that can be located spatially, and increasingly also temporally, can be referenced using a GIS. Locations or extents in Earth space–time may be recorded as dates/times of occurrence, and x, y, and z coordinates representing, longitude , latitude , and elevation , respectively. These GIS coordinates may represent other quantified systems of temporo-spatial reference (for example, film frame number, stream gage station, highway mile-marker, surveyor benchmark, building address, street intersection, entrance gate, water depth sounding, POS or CAD drawing origin/units). Units applied to recorded temporal-spatial data can vary widely (even when using exactly

2394-502: A result of this, Tomlinson has become known as the "father of GIS", particularly for his use of overlays in promoting the spatial analysis of convergent geographic data. CGIS lasted into the 1990s and built a large digital land resource database in Canada. It was developed as a mainframe -based system in support of federal and provincial resource planning and management. Its strength was continent-wide analysis of complex datasets . The CGIS

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2508-479: A road network, lines must connect with nodes at an intersection. Errors such as undershoots and overshoots must also be removed. For scanned maps, blemishes on the source map may need to be removed from the resulting raster . For example, a fleck of dirt might connect two lines that should not be connected. The earth can be represented by various models, each of which may provide a different set of coordinates (e.g., latitude, longitude, elevation) for any given point on

2622-449: A scale of 1:50,000. A rating classification factor was also added to permit analysis. CGIS was an improvement over "computer mapping" applications as it provided capabilities for data storage, overlay, measurement, and digitizing /scanning. It supported a national coordinate system that spanned the continent, coded lines as arcs having a true embedded topology and it stored the attribute and locational information in separate files. As

2736-492: A server, similar to other server software such as HTTP servers and relational database management systems , enabling clients to have access to GIS data and processing tools without having to install specialized desktop software. These networks are known as distributed GIS . This strategy has been extended through the Internet and development of cloud-based GIS platforms such as ArcGIS Online and GIS-specialized software as

2850-498: A service (SAAS), and mobile computing . The distinction must be made between a singular geographic information system , which is a single installation of software and data for a particular use, along with associated hardware, staff, and institutions (e.g., the GIS for a particular city government); and GIS software , a general-purpose application program that is intended to be used in many individual geographic information systems in

2964-508: A service (SAAS). The use of the Internet to facilitate distributed GIS is known as Internet GIS . An alternative approach is the integration of some or all of these capabilities into other software or information technology architectures. One example is a spatial extension to Object-relational database software, which defines a geometry datatype so that spatial data can be stored in relational tables, and extensions to SQL for spatial analysis operations such as overlay . Another example

3078-418: A single four-dimensional continuum now known as Minkowski space . This interpretation proved vital to the general theory of relativity , wherein spacetime is curved by mass and energy . Non-relativistic classical mechanics treats time as a universal quantity of measurement that is uniform throughout, is separate from space, and is agreed on by all observers. Classical mechanics assumes that time has

3192-548: A soft-copy system, for high-quality digital cameras this step is skipped. Satellite remote sensing provides another important source of spatial data. Here satellites use different sensor packages to passively measure the reflectance from parts of the electromagnetic spectrum or radio waves that were sent out from an active sensor such as radar. Remote sensing collects raster data that can be further processed using different bands to identify objects and classes of interest, such as land cover. The most common method of data creation

3306-582: A source of poor water quality upstream might affect a fish population downstream. The NHD is part of the United States Geological Survey The National Map for the United States. The NHD is also linked with similar datasets representing the surface water for Canada and Mexico . The dataset primarily maps features a 1:24,000-scale, but in certain areas provides detail at 1:5,000-scale. A version of

3420-433: A spacetime diagram illustrating the world lines (i.e. paths in spacetime) of two photons, A and B, originating from the same event and going in opposite directions. In addition, C illustrates the world line of a slower-than-light-speed object. The vertical time coordinate is scaled by c {\displaystyle c} so that it has the same units (meters) as the horizontal space coordinate. Since photons travel at

3534-490: A spatial distance Δ x . {\displaystyle \Delta x.} Then the squared spacetime interval ( Δ s ) 2 {\displaystyle (\Delta {s})^{2}} between the two events that are separated by a distance Δ x {\displaystyle \Delta {x}} in space and by Δ c t = c Δ t {\displaystyle \Delta {ct}=c\Delta t} in

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3648-415: A specific aspect of the surface. Some of the most common include: Most of these are generated using algorithms that are discrete simplifications of vector calculus . Slope, aspect, and surface curvature in terrain analysis are all derived from neighborhood operations using elevation values of a cell's adjacent neighbours. Each of these is strongly affected by the level of detail in the terrain data, such as

3762-459: A variety of application domains. Starting in the late 1970s, many software packages have been created specifically for GIS applications. Esri's ArcGIS , which includes ArcGIS Pro and the legacy software ArcMap , currently dominates the GIS market. Other examples of GIS include Autodesk and MapInfo Professional and open-source programs such as QGIS , GRASS GIS , MapGuide , and Hadoop-GIS . These and other desktop GIS applications include

3876-406: A variety of forms, such as a collection of separate data files or a single spatially-enabled relational database . Collecting and managing these data usually constitutes the bulk of the time and financial resources of a project, far more than other aspects such as analysis and mapping. GIS uses spatio-temporal ( space-time ) location as the key index variable for all other information. Just as

3990-643: A year before his death), Minkowski introduced his geometric interpretation of spacetime in a lecture to the Göttingen Mathematical society with the title, The Relativity Principle ( Das Relativitätsprinzip ). On 21 September 1908, Minkowski presented his talk, Space and Time ( Raum und Zeit ), to the German Society of Scientists and Physicians. The opening words of Space and Time include Minkowski's statement that "Henceforth, space for itself, and time for itself shall completely reduce to

4104-438: Is digitization , where a hard copy map or survey plan is transferred into a digital medium through the use of a CAD program, and geo-referencing capabilities. With the wide availability of ortho-rectified imagery (from satellites, aircraft, Helikites and UAVs), heads-up digitizing is becoming the main avenue through which geographic data is extracted. Heads-up digitizing involves the tracing of geographic data directly on top of

4218-408: Is "invariant". In special relativity, however, the distance between two points is no longer the same if measured by two different observers, when one of the observers is moving, because of Lorentz contraction . The situation is even more complicated if the two points are separated in time as well as in space. For example, if one observer sees two events occur at the same place, but at different times,

4332-481: Is a manifold , which is to say, it appears locally "flat" near each point in the same way that, at small enough scales, the surface of a globe appears to be flat. A scale factor, c {\displaystyle c} (conventionally called the speed-of-light ) relates distances measured in space to distances measured in time. The magnitude of this scale factor (nearly 300,000 kilometres or 190,000 miles in space being equivalent to one second in time), along with

4446-410: Is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum . Spacetime diagrams are useful in visualizing and understanding relativistic effects, such as how different observers perceive where and when events occur. Until the turn of the 20th century, the assumption had been that the three-dimensional geometry of

4560-400: Is a stub . You can help Misplaced Pages by expanding it . Geographic information systems A geographic information system ( GIS ) consists of integrated computer hardware and software that store, manage, analyze , edit, output, and visualize geographic data . Much of this often happens within a spatial database ; however, this is not essential to meet the definition of a GIS. In

4674-511: Is a GIS operation used to manipulate spatial data. A typical geoprocessing operation takes an input dataset , performs an operation on that dataset, and returns the result of the operation as an output dataset. Common geoprocessing operations include geographic feature overlay, feature selection and analysis, topology processing, raster processing, and data conversion. Geoprocessing allows for definition, management, and analysis of information used to form decisions. Many geographic tasks involve

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4788-415: Is a measure of separation between events A and B that are time separated and in addition space separated either because there are two separate objects undergoing events, or because a single object in space is moving inertially between its events. The separation interval is the difference between the square of the spatial distance separating event B from event A and the square of the spatial distance traveled by

4902-653: Is a rapidly changing field, and GIS packages are increasingly including analytical tools as standard built-in facilities, as optional toolsets, as add-ins or 'analysts'. In many instances these are provided by the original software suppliers (commercial vendors or collaborative non commercial development teams), while in other cases facilities have been developed and are provided by third parties. Furthermore, many products offer software development kits (SDKs), programming languages and language support, scripting facilities and/or special interfaces for developing one's own analytical tools or variants. The increased availability has created

5016-419: Is actually what is indicated by moving clocks by applying an explicitly operational definition of clock synchronization assuming constant light speed. In 1900 and 1904, he suggested the inherent undetectability of the aether by emphasizing the validity of what he called the principle of relativity . In 1905/1906 he mathematically perfected Lorentz's theory of electrons in order to bring it into accordance with

5130-461: Is captured, the user should consider if the data should be captured with either a relative accuracy or absolute accuracy, since this could not only influence how information will be interpreted but also the cost of data capture. After entering data into a GIS, the data usually requires editing, to remove errors, or further processing. For vector data it must be made "topologically correct" before it can be used for some advanced analysis. For example, in

5244-464: Is collected and stored in various ways, the two data sources may not be entirely compatible. So a GIS must be able to convert geographic data from one structure to another. In so doing, the implicit assumptions behind different ontologies and classifications require analysis. Object ontologies have gained increasing prominence as a consequence of object-oriented programming and sustained work by Barry Smith and co-workers. Spatial ETL tools provide

5358-437: Is far more precise than the machines of conventional map analysis. All geographical data are inherently inaccurate, and these inaccuracies will propagate through GIS operations in ways that are difficult to predict. Data restructuring can be performed by a GIS to convert data into different formats. For example, a GIS may be used to convert a satellite image map to a vector structure by generating lines around all cells with

5472-420: Is more commonly used, heads-down digitizing is still useful for digitizing maps of poor quality. Existing data printed on paper or PET film maps can be digitized or scanned to produce digital data. A digitizer produces vector data as an operator traces points, lines, and polygon boundaries from a map. Scanning a map results in raster data that could be further processed to produce vector data. When data

5586-568: Is no preferred origin, single coordinate values have no essential meaning. The equation above is similar to the Pythagorean theorem, except with a minus sign between the ( c t ) 2 {\displaystyle (ct)^{2}} and the x 2 {\displaystyle x^{2}} terms. The spacetime interval is the quantity s 2 , {\displaystyle s^{2},} not s {\displaystyle s} itself. The reason

5700-445: Is no single standard for data quality, because the necessary degree of quality depends on the scale and purpose of the tasks for which it is to be used. Several elements of data quality are important to GIS data: The quality of a dataset is very dependent upon its sources, and the methods used to create it. Land surveyors have been able to provide a high level of positional accuracy utilizing high-end GPS equipment, but GPS locations on

5814-514: Is positive, the spacetime interval is referred to as timelike . Since spatial distance traversed by any massive object is always less than distance traveled by the light for the same time interval, positive intervals are always timelike. If s 2 {\displaystyle s^{2}} is negative, the spacetime interval is said to be spacelike . Spacetime intervals are equal to zero when x = ± c t . {\displaystyle x=\pm ct.} In other words,

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5928-599: Is that unlike distances in Euclidean geometry, intervals in Minkowski spacetime can be negative. Rather than deal with square roots of negative numbers, physicists customarily regard s 2 {\displaystyle s^{2}} as a distinct symbol in itself, rather than the square of something. In general s 2 {\displaystyle s^{2}} can assume any real number value. If s 2 {\displaystyle s^{2}}

6042-521: Is the proliferation of geospatial libraries and application programming interfaces (e.g., GDAL , Leaflet , D3.js ) that extend programming languages to enable the incorporation of GIS data and processing into custom software, including web mapping sites and location-based services in smartphones . The core of any GIS is a database that contains representations of geographic phenomena, modeling their geometry (location and shape) and their properties or attributes . A GIS database may be stored in

6156-498: Is to utilize applications available on smartphones and PDAs in the form of mobile GIS. This has been enhanced by the availability of low-cost mapping-grade GPS units with decimeter accuracy in real time. This eliminates the need to post process, import, and update the data in the office after fieldwork has been collected. This includes the ability to incorporate positions collected using a laser rangefinder . New technologies also allow users to create maps as well as analysis directly in

6270-400: The c t {\displaystyle ct} -coordinate is: or for three space dimensions, The constant c , {\displaystyle c,} the speed of light, converts time t {\displaystyle t} units (like seconds) into space units (like meters). The squared interval Δ s 2 {\displaystyle \Delta s^{2}}

6384-461: The distance Δ d {\displaystyle \Delta {d}} between two points can be defined using the Pythagorean theorem : Although two viewers may measure the x , y , and z position of the two points using different coordinate systems, the distance between the points will be the same for both, assuming that they are measuring using the same units. The distance

6498-640: The CAD  platform, Environmental Systems Research Institute ( ESRI ), CARIS  (Computer Aided Resource Information System), and ERDAS (Earth Resource Data Analysis System) emerged as commercial vendors of GIS software, successfully incorporating many of the CGIS ;features, combining the first-generation approach to separation of spatial and attribute information with a second-generation approach to organizing attribute data into database structures. In 1986, Mapping Display and Analysis System (MIDAS),

6612-426: The Internet , requiring data format and transfer standards. More recently, a growing number of free, open-source GIS packages run on a range of operating systems and can be customized to perform specific tasks. The major trend of the 21st Century has been the integration of GIS capabilities with other Information technology and Internet infrastructure, such as relational databases , cloud computing , software as

6726-429: The ct ′ axis is tilted with respect to the ct axis by an angle θ given by The x ′ axis is also tilted with respect to the x axis. To determine the angle of this tilt, we recall that the slope of the world line of a light pulse is always ±1. Fig. 2-3c presents a spacetime diagram from the viewpoint of observer O′. Event P represents the emission of a light pulse at x ′ = 0, ct ′ = −

6840-587: The data reduction following an experiment, the time when a signal is received will be corrected to reflect its actual time were it to have been recorded by an idealized lattice of clocks. In many books on special relativity, especially older ones, the word "observer" is used in the more ordinary sense of the word. It is usually clear from context which meaning has been adopted. Physicists distinguish between what one measures or observes , after one has factored out signal propagation delays, versus what one visually sees without such corrections. Failing to understand

6954-400: The terrain , the shape of the surface of the earth, such as hydrology , earthworks , and biogeography . Thus, terrain data is often a core dataset in a GIS, usually in the form of a raster Digital elevation model (DEM) or a Triangulated irregular network (TIN). A variety of tools are available in most GIS software for analyzing terrain, often by creating derivative datasets that represent

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7068-548: The Earth's surface. The simplest model is to assume the earth is a perfect sphere. As more measurements of the earth have accumulated, the models of the earth have become more sophisticated and more accurate. In fact, there are models called datums that apply to different areas of the earth to provide increased accuracy, like North American Datum of 1983 for U.S. measurements, and the World Geodetic System for worldwide measurements. The latitude and longitude on

7182-585: The Lorentz group are closely connected to certain types of sphere , hyperbolic , or conformal geometries and their transformation groups already developed in the 19th century, in which invariant intervals analogous to the spacetime interval are used. Einstein, for his part, was initially dismissive of Minkowski's geometric interpretation of special relativity, regarding it as überflüssige Gelehrsamkeit (superfluous learnedness). However, in order to complete his search for general relativity that started in 1907,

7296-610: The NHD called the NHDPlus is integrated with elevation and other landscape data to create detailed drainage catchments and flow volume and velocity estimates for streams and rivers of the U.S. at 1:100,000-scale. This data is available from the United States Environmental Protection Agency . Simley, J.D., Carswell Jr., W.J., 2009, The National Map—Hydrography: U.S. Geological Survey Fact Sheet 2009-3054, 4 p. This hydrology article

7410-418: The NHD is used with other data themes such as elevation, boundaries, and transportation to produce general reference maps. In geospatial analysis the NHD is used by scientists using GIS technology. This takes advantage of a flow direction network that can be processed to trace the flow of water downstream. A rich set of attributes used to identify the water features includes an identifier, the official name of

7524-517: The aerial imagery instead of by the traditional method of tracing the geographic form on a separate digitizing tablet (heads-down digitizing). Heads-down digitizing, or manual digitizing, uses a special magnetic pen, or stylus, that feeds information into a computer to create an identical, digital map. Some tablets use a mouse-like tool, called a puck, instead of a stylus. The puck has a small window with cross-hairs which allows for greater precision and pinpointing map features. Though heads-up digitizing

7638-439: The average smartphone are much less accurate. Common datasets such as digital terrain and aerial imagery are available in a wide variety of levels of quality, especially spatial precision. Paper maps, which have been digitized for many years as a data source, can also be of widely varying quality. A quantitative analysis of maps brings accuracy issues into focus. The electronic and other equipment used to make measurements for GIS

7752-435: The best suited to the description of our world". Even as late as 1909, Poincaré continued to describe the dynamical interpretation of the Lorentz transform. In 1905, Albert Einstein analyzed special relativity in terms of kinematics (the study of moving bodies without reference to forces) rather than dynamics. His results were mathematically equivalent to those of Lorentz and Poincaré. He obtained them by recognizing that

7866-455: The data processing functionality of traditional extract, transform, load  (ETL) software, but with a primary focus on the ability to manage spatial data. They provide GIS users with the ability to translate data between different standards and proprietary formats, whilst geometrically transforming the data en route. These tools can come in the form of add-ins to existing wider-purpose software such as spreadsheets . GIS spatial analysis

7980-429: The datum is the ' North American Datum of 1983' is denoted by 'GCS North American 1983'. While no digital model can be a perfect representation of the real world, it is important that GIS data be of a high quality. In keeping with the principle of homomorphism , the data must be close enough to reality so that the results of GIS procedures correctly correspond to the results of real world processes. This means that there

8094-450: The difference between what one measures and what one sees is the source of much confusion among students of relativity. By the mid-1800s, various experiments such as the observation of the Arago spot and differential measurements of the speed of light in air versus water were considered to have proven the wave nature of light as opposed to a corpuscular theory . Propagation of waves

8208-457: The distance between the two events (because of length contraction ). Special relativity provides a new invariant, called the spacetime interval , which combines distances in space and in time. All observers who measure the time and distance between any two events will end up computing the same spacetime interval. Suppose an observer measures two events as being separated in time by Δ t {\displaystyle \Delta t} and

8322-752: The early 1960s. In 1963, the world's first true operational GIS was developed in Ottawa, Ontario , Canada, by the federal Department of Forestry and Rural Development. Developed by Roger Tomlinson , it was called the Canada Geographic Information System (CGIS) and was used to store, analyze, and manipulate data collected for the Canada Land Inventory , an effort to determine the land capability for rural Canada by mapping information about soils , agriculture, recreation, wildlife, waterfowl , forestry and land use at

8436-489: The early days of GIS: Ian McHarg 's publication Design with Nature and its map overlay method and the introduction of a street network into the U.S. Census Bureau's DIME ( Dual Independent Map Encoding ) system. The first publication detailing the use of computers to facilitate cartography was written by Waldo Tobler in 1959. Further computer hardware development spurred by nuclear weapon research led to more widespread general-purpose computer "mapping" applications by

8550-422: The entire theory can be built upon two postulates: the principle of relativity and the principle of the constancy of light speed. His work was filled with vivid imagery involving the exchange of light signals between clocks in motion, careful measurements of the lengths of moving rods, and other such examples. Einstein in 1905 superseded previous attempts of an electromagnetic mass –energy relation by introducing

8664-615: The fact that spacetime is a manifold, implies that at ordinary, non-relativistic speeds and at ordinary, human-scale distances, there is little that humans might observe that is noticeably different from what they might observe if the world were Euclidean. It was only with the advent of sensitive scientific measurements in the mid-1800s, such as the Fizeau experiment and the Michelson–Morley experiment , that puzzling discrepancies began to be noted between observation versus predictions based on

8778-410: The feature, the length or area of the feature, and metadata describing the source of the data. The identifier is used in an addressing system to link specific information about the water such as water discharge, water quality, and fish population. Using the basic water features, flow network, linked information, and other characteristics, it is possible to study cause and effect relationships, such as how

8892-527: The field, making projects more efficient and mapping more accurate. Remotely sensed data also plays an important role in data collection and consist of sensors attached to a platform. Sensors include cameras, digital scanners and lidar , while platforms usually consist of aircraft and satellites . In England in the mid-1990s, hybrid kite/balloons called helikites first pioneered the use of compact airborne digital cameras as airborne geo-information systems. Aircraft measurement software, accurate to 0.4 mm,

9006-597: The first desktop GIS product, was released for the DOS operating system. This was renamed in 1990 to MapInfo for Windows when it was ported to the Microsoft Windows platform. This began the process of moving GIS from the research department into the business environment. By the end of the 20th century, the rapid growth in various systems had been consolidated and standardized on relatively few platforms and users were beginning to explore viewing GIS data over

9120-408: The first examples of general-purpose GIS software that was not developed for a particular installation, and was very influential on future commercial software, such as Esri ARC/INFO , released in 1983. By the late 1970s two public domain GIS systems ( MOSS and GRASS GIS ) were in development, and by the early 1980s, M&S Computing (later Intergraph ) along with Bentley Systems Incorporated for

9234-587: The foundation of location-enabled services, which rely on geographic analysis and visualization. GIS provides the ability to relate previously unrelated information, through the use of location as the "key index variable". Locations and extents that are found in the Earth's spacetime are able to be recorded through the date and time of occurrence, along with x, y, and z coordinates ; representing, longitude ( x ), latitude ( y ), and elevation ( z ). All Earth-based, spatial–temporal, location and extent references should be relatable to one another, and ultimately, to

9348-556: The further development of general relativity, Einstein fully incorporated the spacetime formalism. When Einstein published in 1905, another of his competitors, his former mathematics professor Hermann Minkowski , had also arrived at most of the basic elements of special relativity. Max Born recounted a meeting he had made with Minkowski, seeking to be Minkowski's student/collaborator: I went to Cologne, met Minkowski and heard his celebrated lecture 'Space and Time' delivered on 2 September 1908. [...] He told me later that it came to him as

9462-497: The general equivalence of mass and energy , which was instrumental for his subsequent formulation of the equivalence principle in 1907, which declares the equivalence of inertial and gravitational mass. By using the mass–energy equivalence, Einstein showed that the gravitational mass of a body is proportional to its energy content, which was one of the early results in developing general relativity . While it would appear that he did not at first think geometrically about spacetime, in

9576-408: The geometric interpretation of relativity proved to be vital. In 1916, Einstein fully acknowledged his indebtedness to Minkowski, whose interpretation greatly facilitated the transition to general relativity. Since there are other types of spacetime, such as the curved spacetime of general relativity, the spacetime of special relativity is today known as Minkowski spacetime. In three dimensions,

9690-418: The hypothetical aether on the speed of light, and the most likely explanation, complete aether dragging, was in conflict with the observation of stellar aberration . George Francis FitzGerald in 1889, and Hendrik Lorentz in 1892, independently proposed that material bodies traveling through the fixed aether were physically affected by their passage, contracting in the direction of motion by an amount that

9804-419: The implicit assumption of Euclidean space. In special relativity, an observer will, in most cases, mean a frame of reference from which a set of objects or events is being measured. This usage differs significantly from the ordinary English meaning of the term. Reference frames are inherently nonlocal constructs, and according to this usage of the term, it does not make sense to speak of an observer as having

9918-484: The layers were finished, they were combined into one image using a large process camera. Once color printing came in, the layers idea was also used for creating separate printing plates for each color. While the use of layers much later became one of the typical features of a contemporary GIS, the photographic process just described is not considered a GIS in itself – as the maps were just images with no database to link them to. Two additional developments are notable in

10032-438: The math with no loss of generality in the conclusions that are reached. In Fig. 2-2, two Galilean reference frames (i.e. conventional 3-space frames) are displayed in relative motion. Frame S belongs to a first observer O, and frame S′ (pronounced "S prime") belongs to a second observer O′. Fig. 2-3a redraws Fig. 2-2 in a different orientation. Fig. 2-3b illustrates a relativistic spacetime diagram from

10146-482: The observer. General relativity provides an explanation of how gravitational fields can slow the passage of time for an object as seen by an observer outside the field. In ordinary space, a position is specified by three numbers, known as dimensions . In the Cartesian coordinate system , these are often called x , y and z . A point in spacetime is called an event , and requires four numbers to be specified:

10260-471: The physical constituents of matter. Lorentz's equations predicted a quantity that he called local time , with which he could explain the aberration of light , the Fizeau experiment and other phenomena. Henri Poincaré was the first to combine space and time into spacetime. He argued in 1898 that the simultaneity of two events is a matter of convention. In 1900, he recognized that Lorentz's "local time"

10374-400: The popping of a firecracker or a spark, it is not possible for an observer to be in motion relative to an event. The path of a particle through spacetime can be considered to be a sequence of events. The series of events can be linked together to form a curve that represents the particle's progress through spacetime. That path is called the particle's world line . Mathematically, spacetime

10488-486: The postulate of relativity. While discussing various hypotheses on Lorentz invariant gravitation, he introduced the innovative concept of a 4-dimensional spacetime by defining various four vectors , namely four-position , four-velocity , and four-force . He did not pursue the 4-dimensional formalism in subsequent papers, however, stating that this line of research seemed to "entail great pain for limited profit", ultimately concluding "that three-dimensional language seems

10602-663: The real world, such as roads, land use, elevation, trees, waterways, and states. The most common types of phenomena that are represented in data can be divided into two conceptualizations: discrete objects (e.g., a house, a road) and continuous fields (e.g., rainfall amount or population density). Other types of geographic phenomena, such as events (e.g., location of World War II battles), processes (e.g., extent of suburbanization ), and masses (e.g., types of soil in an area) are represented less commonly or indirectly, or are modeled in analysis procedures rather than data. Traditionally, there are two broad methods used to store data in

10716-425: The resolution of a DEM, which should be chosen carefully. Distance is a key part of solving many geographic tasks, usually due to the friction of distance . Thus, a wide variety of analysis tools have analyze distance in some form, such as buffers , Voronoi or Thiessen polygons , Cost distance analysis , and network analysis . Spacetime In physics , spacetime , also called the space-time continuum ,

10830-414: The same classification, while determining the cell spatial relationships, such as adjacency or inclusion. More advanced data processing can occur with image processing , a technique developed in the late 1960s by NASA and the private sector to provide contrast enhancement, false color rendering and a variety of other techniques including use of two dimensional Fourier transforms . Since digital data

10944-622: The same data, see map projections ), but all Earth-based spatial–temporal location and extent references should, ideally, be relatable to one another and ultimately to a "real" physical location or extent in space–time. Related by accurate spatial information, an incredible variety of real-world and projected past or future data can be analyzed, interpreted and represented. This key characteristic of GIS has begun to open new avenues of scientific inquiry into behaviors and patterns of real-world information that previously had not been systematically correlated . GIS data represents phenomena that exist in

11058-733: The spacetime interval d s ′ {\displaystyle ds'} can be written in a same form as above. Because of the constancy of speed of light, the light events in all inertial frames belong to zero interval, d s = d s ′ = 0 {\displaystyle ds=ds'=0} . For any other infinitesimal event where d s ≠ 0 {\displaystyle ds\neq 0} , one can prove that d s 2 = d s ′ 2 {\displaystyle ds^{2}=ds'^{2}} which in turn upon integration leads to s = s ′ {\displaystyle s=s'} . The invariance of

11172-584: The spacetime interval between the same events for all inertial frames of reference is one of the fundamental results of special theory of relativity. Although for brevity, one frequently sees interval expressions expressed without deltas, including in most of the following discussion, it should be understood that in general, x {\displaystyle x} means Δ x {\displaystyle \Delta {x}} , etc. We are always concerned with differences of spatial or temporal coordinate values belonging to two events, and since there

11286-416: The spacetime interval between two events on the world line of something moving at the speed of light is zero. Such an interval is termed lightlike or null . A photon arriving in our eye from a distant star will not have aged, despite having (from our perspective) spent years in its passage. A spacetime diagram is typically drawn with only a single space and a single time coordinate. Fig. 2-1 presents

11400-436: The speed of light, their world lines have a slope of ±1. In other words, every meter that a photon travels to the left or right requires approximately 3.3 nanoseconds of time. To gain insight in how spacetime coordinates measured by observers in different reference frames compare with each other, it is useful to work with a simplified setup with frames in a standard configuration. With care, this allows simplification of

11514-402: The state of electrodynamics after Michelson's disruptive experiments at least since the summer of 1905, when Minkowski and David Hilbert led an advanced seminar attended by notable physicists of the time to study the papers of Lorentz, Poincaré et al. Minkowski saw Einstein's work as an extension of Lorentz's, and was most directly influenced by Poincaré. On 5 November 1907 (a little more than

11628-425: The three-dimensional location in space, plus the position in time (Fig. 1). An event is represented by a set of coordinates x , y , z and t . Spacetime is thus four-dimensional . Unlike the analogies used in popular writings to explain events, such as firecrackers or sparks, mathematical events have zero duration and represent a single point in spacetime. Although it is possible to be in motion relative to

11742-510: The unambiguous GIScience is more common. GIScience is often considered a subdiscipline of geography within the branch of technical geography . Geographic information systems are utilized in multiple technologies, processes, techniques and methods. They are attached to various operations and numerous applications, that relate to: engineering, planning, management, transport/logistics, insurance, telecommunications, and business. For this reason, GIS and location intelligence applications are at

11856-485: The universe (its description in terms of locations, shapes, distances, and directions) was distinct from time (the measurement of when events occur within the universe). However, space and time took on new meanings with the Lorentz transformation and special theory of relativity . In 1908, Hermann Minkowski presented a geometric interpretation of special relativity that fused time and the three spatial dimensions into

11970-447: The viewpoint of observer O. Since S and S′ are in standard configuration, their origins coincide at times t  = 0 in frame S and t ′ = 0 in frame S′. The ct ′ axis passes through the events in frame S′ which have x ′ = 0. But the points with x ′ = 0 are moving in the x -direction of frame S with velocity v , so that they are not coincident with the ct axis at any time other than zero. Therefore,

12084-406: The whole ensemble of clocks associated with one inertial frame of reference. In this idealized case, every point in space has a clock associated with it, and thus the clocks register each event instantly, with no time delay between an event and its recording. A real observer, will see a delay between the emission of a signal and its detection due to the speed of light. To synchronize the clocks, in

12198-460: Was able to determine the source of a cholera outbreak in London through the use of spatial analysis. Snow achieved this through plotting the residence of each casualty on a map of the area, as well as the nearby water sources. Once these points were marked, he was able to identify the water source within the cluster that was responsible for the outbreak. This was one of the earliest successful uses of

12312-555: Was exactly what was necessary to explain the negative results of the Michelson–Morley experiment. No length changes occur in directions transverse to the direction of motion. By 1904, Lorentz had expanded his theory such that he had arrived at equations formally identical with those that Einstein was to derive later, i.e. the Lorentz transformation . As a theory of dynamics (the study of forces and torques and their effect on motion), his theory assumed actual physical deformations of

12426-536: Was less than the sum of the speed of light in air plus the speed of the water by an amount dependent on the water's index of refraction. Among other issues, the dependence of the partial aether-dragging implied by this experiment on the index of refraction (which is dependent on wavelength) led to the unpalatable conclusion that aether simultaneously flows at different speeds for different colors of light. The Michelson–Morley experiment of 1887 (Fig. 1-2) showed no differential influence of Earth's motions through

12540-608: Was never available commercially. In 1964, Howard T. Fisher formed the Laboratory for Computer Graphics and Spatial Analysis at the Harvard Graduate School of Design (LCGSA 1965–1991), where a number of important theoretical concepts in spatial data handling were developed, and which by the 1970s had distributed seminal software code and systems, such as SYMAP, GRID, and ODYSSEY, to universities, research centers and corporations worldwide. These programs were

12654-411: Was particularly used for printing contours – drawing these was a labour-intensive task but having them on a separate layer meant they could be worked on without the other layers to confuse the draughtsman . This work was initially drawn on glass plates, but later plastic film was introduced, with the advantages of being lighter, using less storage space and being less brittle, among others. When all

12768-414: Was then assumed to require the existence of a waving medium; in the case of light waves, this was considered to be a hypothetical luminiferous aether . The various attempts to establish the properties of this hypothetical medium yielded contradictory results. For example, the Fizeau experiment of 1851, conducted by French physicist Hippolyte Fizeau , demonstrated that the speed of light in flowing water

12882-599: Was used came from the field of epidemiology in the Rapport sur la marche et les effets du choléra dans Paris et le département de la Seine (1832). French cartographer and geographer Charles Picquet created a map outlining the forty-eight districts in Paris , using halftone color gradients, to provide a visual representation for the number of reported deaths due to cholera per every 1,000 inhabitants. In 1854, John Snow , an epidemiologist and physician,

12996-460: Was used to link the photographs and measure the ground. Helikites are inexpensive and gather more accurate data than aircraft. Helikites can be used over roads, railways and towns where unmanned aerial vehicles (UAVs) are banned. Recently aerial data collection has become more accessible with miniature UAVs and drones. For example, the Aeryon Scout was used to map a 50-acre area with

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