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Resolution
Resolution(s) may refer to: Common meanings * Resolution (debate), the statement which is debated in policy debate * Resolution (law), a written motion adopted by a deliberative body * New Year's resolution, a commitment that an individual makes at New Year's Day * Dispute resolution, the settlement of a disagreement Science, technology, and mathematics Mathematics and logic * Resolution (algebra), an exact sequence in homological algebra * Resolution (logic), a rule of inference used for automated theorem proving * Standard resolution, the bar construction of resolutions in homological algebra * Resolution of singularities in algebraic geometry Measurements * Resolution (audio), a measure of digital audio quality * Resolution (electron density), the quality of an X-ray crystallography or cryo-electron microscopy data set * Angular resolution, the capability of an optical or other sensor to discern small objects * Depositional resolution, the age difference of fossil ...
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Resolution (film)
''Resolution'' is a 2012 American horror film directed by Justin Benson and Aaron Scott Moorhead, written by Benson, and starring Peter Cilella and Vinny Curran. Cilella plays a graphic designer and father-to-be named Michael who, after receiving a troubling email video of his drug-addicted best friend Chris (played by Curran), travels to a remote cabin to save him. The 2017 film ''The Endless'' shares the same creative universe as ''Resolution'', and may be interpreted as a partial sequel. Plot Michael Danube, a graphic designer living in the city with his pregnant wife, receives an email containing a video of Chris Daniels, his best friend. Chris, a drug addict, has retreated to a remote rural area and has become delusional and erratic. A map is included with the video. Despite his wife's objections, Michael makes one last attempt to save Chris. He promises to return after one week and follows the map. At his destination, Michael hears Chris ranting and shooting a pistol ...
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Resolution Of Singularities
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety ''V'' has a resolution, a non-singular variety ''W'' with a proper birational map ''W''→''V''. For varieties over fields of characteristic 0 this was proved in Hironaka (1964), while for varieties over fields of characteristic ''p'' it is an open problem in dimensions at least 4. Definitions Originally the problem of resolution of singularities was to find a nonsingular model for the function field of a variety ''X'', in other words a complete non-singular variety ''X′'' with the same function field. In practice it is more convenient to ask for a different condition as follows: a variety ''X'' has a resolution of singularities if we can find a non-singular variety ''X′'' and a proper birational map from ''X′'' to ''X''. The condition that the map is proper is needed to exclude trivial solutions, such as taking ''X′'' to be the subvariety of non- ...
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Resolution (beam Engine)
''Resolution'' was an early beam engine, installed between 1781–1782 at Coalbrookdale as a water-returning engine to power the blast furnaces and ironworks there. It was one of the last water-returning engines to be constructed, before the rotative beam engine made this type of engine obsolete. Water power in Coalbrookdale Coalbrookdale was a cradle of the First Industrial Revolution and was the scene of Abraham Darby's first production of iron by a coke-fired blast furnace, rather than the previous and expensive charcoal. Coalbrookdale is a narrow steep-sided valley that offered useful water power to drive the furnace blast and the various stamp mills, boring engines, etc. Contemporary visitors commented upon the picturesque 'fine cascades' of water. Although the water power available at Coalbrookdale had been described as 'abundant', it was also seasonal: in the summer months, the lack of water could require the furnace to be 'blown out' for some months and work suspend ...
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Resolution (logic)
In mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation complete theorem-proving technique for sentences in propositional logic and first-order logic. For propositional logic, systematically applying the resolution rule acts as a decision procedure for formula unsatisfiability, solving the (complement of the) Boolean satisfiability problem. For first-order logic, resolution can be used as the basis for a semi-algorithm for the unsatisfiability problem of first-order logic, providing a more practical method than one following from Gödel's completeness theorem. The resolution rule can be traced back to Davis and Putnam (1960); however, their algorithm required trying all ground instances of the given formula. This source of combinatorial explosion was eliminated in 1965 by John Alan Robinson's syntactical unification algorithm, which allowed one to instantiate the formula during the proof "on demand" just as far as needed to ...
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New Year's Resolution
A New Year's resolution is a tradition, most common in the Western World but also found in the Eastern World, in which a person resolves to continue good practices, change an undesired trait or behavior, accomplish a personal goal, or otherwise improve their behaviour at the beginning of a calendar year. Religious origins Around 2000 B.C., the Babylonians celebrated the New Year during a 12-day festival called Akitu (starting with the vernal equinox). This was the start of the farming season to plant crops, crown their king, and make promises to return borrowed farm equipment and pay their debts. The Babylonian New Year was adopted by the ancient Romans, as was the tradition of resolutions. The timing, however, eventually shifted with the Julian calendar in 46 B.C., which declared January 1st as the start of the new year and began each year by making promises to the god Janus, for whom the month of January is named. In the medieval era, the knights took the " peacock vow" at th ...
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Optical Resolution
Optical resolution describes the ability of an imaging system to resolve detail, in the object that is being imaged. An imaging system may have many individual components, including one or more lenses, and/or recording and display components. Each of these contributes (given suitable design, and adequate alignment) to the optical resolution of the system; the environment in which the imaging is done often is a further important factor. Lateral resolution Resolution depends on the distance between two distinguishable radiating points. The sections below describe the theoretical estimates of resolution, but the real values may differ. The results below are based on mathematical models of Airy discs, which assumes an adequate level of contrast. In low-contrast systems, the resolution may be much lower than predicted by the theory outlined below. Real optical systems are complex, and practical difficulties often increase the distance between distinguishable point sources. The ...
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Resolution (law)
In law, a resolution is a written motion adopted by a deliberative body. The substance of the resolution can be anything that can normally be proposed as a motion. For long or important motions, though, it is often better to have them written out so that discussion is easier or so that it can be distributed outside the body after its adoption. An alternate term for a resolution is a ''resolve''. Resolutions are commonly used in corporations and houses of legislature. In corporations In corporations, a written resolution is especially useful in the case of the board of directors of a corporation, which usually needs to give its consent to real estate purchases or sales by the corporation. Such a resolution, when certified by the corporation's secretary, gives assurance to the other side of the transaction that the sale was properly authorized. Other examples include resolutions approving the opening of bank accounts or authorizing the issuance of shares in the corporation. Ho ...
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Image Resolution
Image resolution is the detail an image holds. The term applies to digital images, film images, and other types of images. "Higher resolution" means more image detail. Image resolution can be measured in various ways. Resolution quantifies how close lines can be to each other and still be visibly ''resolved''. Resolution units can be tied to physical sizes (e.g. lines per mm, lines per inch), to the overall size of a picture (lines per picture height, also known simply as lines, TV lines, or TVL), or to angular subtense. Instead of single lines, line pairs are often used, composed of a dark line and an adjacent light line; for example, a resolution of 10 lines per millimeter means 5 dark lines alternating with 5 light lines, or 5 line pairs per millimeter (5 LP/mm). Photographic lens and film resolution are most often quoted in line pairs per millimeter. Types The resolution of digital cameras can be described in many different ways. Pixel count The term ''resolution'' is o ...
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Chiral Resolution
Chiral resolution, or enantiomeric resolution, is a process in stereochemistry for the separation of racemic compounds into their enantiomers. It is an important tool in the production of optically active compounds, including drugs. Another term with the same meaning is optical resolution. The use of chiral resolution to obtain enantiomerically pure compounds has the disadvantage of necessarily discarding at least half of the starting racemic mixture. Asymmetric synthesis of one of the enantiomers is one means of avoiding this waste. Crystallization of diastereomeric salts The most common method for chiral resolution involves conversion of the racemic mixture to a pair of diastereomeric derivatives by reacting them with chiral derivatizing agents, also known as chiral resolving agents. The derivatives which are then separated by conventional crystallization, and converted back to the enantiomers by removal of the resolving agent. The process can be laborious and depends on the div ...
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Graphic Display Resolutions
The graphics display resolution is the width and height dimension of an electronic visual display device, measured in pixels. This information is used for electronic devices such as a computer monitor. Certain combinations of width and height are standardized (e.g. by VESA) and typically given a name and an initialism that is descriptive of its dimensions. A graphics display resolution can be used in tandem with the size of the graphics display to calculate pixel density. An increase in the pixel density often correlates with a decrease in the size of individual pixels on a display. Overview by vertical resolution and aspect ratio Aspect ratio The favored aspect ratio of mass-market display industry products has changed gradually from 4:3, then to 16:10, then to 16:9, and is now changing to 18:9 for smartphones. The 4:3 aspect ratio generally reflects older products, especially the era of the cathode ray tube (CRT). The 16:10 aspect ratio had its largest use in the ...
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Resolution (mass Spectrometry)
In mass spectrometry, resolution is a measure of the ability to distinguish two peaks of slightly different mass-to-charge ratios ''ΔM'', in a mass spectrum. Resolution and resolving power There are two different definitions of resolution and resolving power in mass spectrometry. IUPAC definition The IUPAC definition for resolution in mass spectrometry is :R = \cfrac = \mathrm :\Delta M = \mathrm :M = \mathrm Where a larger resolution indicates a better separation of peaks. This definition is used in a number of mass spectrometry texts. This use is also implied by the term "high-resolution mass spectrometry." A high value for resolution corresponding to good separation of peaks is similar to the convention used with chromatography separations, although it is important to note that the definitions are not the same. High resolution indicating better peak separation is also used in ion mobility spectrometry. Resolving power definition Some mass spectrometrists use the definit ...
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Resolution (chromatography)
In chromatography, resolution is a measure of the separation of two Summit (topography), peaks of different retention time ''t'' in a chromatogram. Expression Chromatographic peak resolution is given by :R_s = 2\cfrac where tR is the retention time and wb is the peak width at baseline. Here compound 1 elutes before compound 2. If the peaks have the same width :R_s = \cfrac . Plate number The theoretical plate height is given by :H = \frac where L is the column length and N the number of theoretical plates. The relation between plate number and peak width at the base is given by :N = 16 \cdot \left(\frac\right)^2 \,. See also *Van Deemter equation *Resolution (mass spectrometry) *Image resolution References External linksIUPAC Nomenclature for Chromatography
{{chromatography, Chromatography, ...
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