Laplace (other)
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Laplace (other)
Pierre-Simon Laplace was a French mathematician and astronomer. Laplace, LaPlace or La Place may also refer to: Places * Laplace Island (Antarctica) * La Place, Illinois * LaPlace, Louisiana * Promontorium Laplace, a place on the Moon Other uses * La Place (band), a French band * LAPLACE (laboratory), a French physics laboratory * Laplace (Paris Metro), a Paris Metro station * La Place (restaurant chain) * 4628 Laplace, an asteroid * French ship ''Laplace'' (A 793), a hydrographic survey ship of the French Navy * EJSM/Laplace, a proposed European space mission * Laplace-P, a proposed Russian space mission * Lapras, a fictional species in the ''Pokémon'' franchise, called "Laplace" in Japanese * Laplace, a space colony destroyed at the beginning of '' Mobile Suit Gundam Unicorn'' People with the surname * Charles Laplace (died 2008), West Indian murderer * Cyrille Pierre Théodore Laplace (1793–1875), French navigator * Victor Laplace (born 1943), Argentine actor ...
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Pierre-Simon Laplace
Pierre-Simon, marquis de Laplace (; ; 23 March 1749 – 5 March 1827) was a French scholar and polymath whose work was important to the development of engineering, mathematics, statistics, physics, astronomy, and philosophy. He summarized and extended the work of his predecessors in his five-volume ''Mécanique céleste'' (''Celestial Mechanics'') (1799–1825). This work translated the geometric study of classical mechanics to one based on calculus, opening up a broader range of problems. In statistics, the Bayesian interpretation of probability was developed mainly by Laplace. Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming. The Laplacian differential operator, widely used in mathematics, is also named after him. He restated and developed the nebular hypothesis of the origin of the Solar System and was one of the first scientists to sugges ...
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Lapras
is a Pokémon species in Nintendo and Game Freak's ''Pokémon'' franchise. Created by Ken Sugimori, Lapras first appeared in the video games ''Pokémon Red'' and ''Blue'' and subsequent sequels, later appearing in various merchandise, spinoff titles and animated and printed adaptations of the franchise. Lapras is a water-type large Pokémon that resembles a plesiosaur. Lapras was voiced by Rikako Aikawa in both the Japanese and English-language versions of the anime. Concept and characteristics Lapras was one of 151 different designs conceived by Game Freak's character development team and finalized by Ken Sugimori for the first generation of ''Pocket Monsters'' games ''Red'' and ''Green'', which were localized outside Japan as ''Pokémon Red'' and ''Blue''. Its English name is a romanization of the Japanese name ''Rapurasu'', subsequently revealed to be the Japanese way of writing ''Laplace'', a name likely based after the mathematician Pierre-Simon Laplace.
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Laplacian Matrix
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a graph. Named after Pierre-Simon Laplace, the graph Laplacian matrix can be viewed as a matrix form of the negative discrete Laplace operator on a graph approximating the negative continuous Laplacian obtained by the finite difference method. The Laplacian matrix relates to many useful properties of a graph. Together with Kirchhoff's theorem, it can be used to calculate the number of spanning trees for a given graph. The sparsest cut of a graph can be approximated through the Fiedler vector — the eigenvector corresponding to the second smallest eigenvalue of the graph Laplacian — as established by Cheeger's inequality. The spectral decomposition of the Laplacian matrix allows constructing low dimensional embeddings that appear in many machine learning applications and determines a spectr ...
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Laplace's Equation
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties. This is often written as \nabla^2\! f = 0 or \Delta f = 0, where \Delta = \nabla \cdot \nabla = \nabla^2 is the Laplace operator,The delta symbol, Δ, is also commonly used to represent a finite change in some quantity, for example, \Delta x = x_1 - x_2. Its use to represent the Laplacian should not be confused with this use. \nabla \cdot is the divergence operator (also symbolized "div"), \nabla is the gradient operator (also symbolized "grad"), and f (x, y, z) is a twice-differentiable real-valued function. The Laplace operator therefore maps a scalar function to another scalar function. If the right-hand side is specified as a given function, h(x, y, z), we have \Delta f = h. This is called Poisson's equation, a generalization of Laplace's equation. Laplace's equation and Poisson's equation are the simplest exa ...
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Laplace Transform
In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace (), is an integral transform In mathematics, an integral transform maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in ... that converts a Function (mathematics), function of a Real number, real Variable (mathematics), variable (usually t, in the ''time domain'') to a function of a Complex number, complex variable s (in the complex frequency domain, also known as ''s''-domain, or s-plane). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms ordinary differential equations into algebraic equations and convolution into multiplication. For suitable functions ''f'', the Laplace transform is the integral \mathcal\(s) = \int_0^\infty f(t)e^ \, dt. H ...
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Laplace Pressure
The Laplace pressure is the pressure difference between the inside and the outside of a curved surface that forms the boundary between two fluid regions. The pressure difference is caused by the surface tension of the interface between liquid and gas, or between two immiscible liquids. The Laplace pressure is determined from the Young–Laplace equation given as : \Delta P \equiv P_\text - P_\text = \gamma\left(\frac+\frac\right), where R_1 and R_2 are the principal radii of curvature and \gamma (also denoted as \sigma) is the surface tension. Although signs for these values vary, sign convention usually dictates positive curvature when convex and negative when concave. The Laplace pressure is commonly used to determine the pressure difference in spherical shapes such as bubbles or droplets. In this case, R_1 = R_2: : \Delta P = \gamma\frac For a gas bubble within a liquid, there is only one surface. For a gas bubble with a liquid wall, beyond which is again gas, there are t ...
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Laplace Operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols \nabla\cdot\nabla, \nabla^2 (where \nabla is the nabla operator), or \Delta. In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable. In other coordinate systems, such as cylindrical and spherical coordinates, the Laplacian also has a useful form. Informally, the Laplacian of a function at a point measures by how much the average value of over small spheres or balls centered at deviates from . The Laplace operator is named after the French mathematician Pierre-Simon de Laplace (1749–1827), who first applied the operator to the study of celestial mechanics: the Laplacian of the gravitational potential due to a given mass density distribution is a constant multiple of that densi ...
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Laplace Distribution
In probability theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace. It is also sometimes called the double exponential distribution, because it can be thought of as two exponential distributions (with an additional location parameter) spliced together along the abscissa, although the term is also sometimes used to refer to the Gumbel distribution. The difference between two independent identically distributed exponential random variables is governed by a Laplace distribution, as is a Brownian motion evaluated at an exponentially distributed random time. Increments of Laplace motion or a variance gamma process evaluated over the time scale also have a Laplace distribution. Definitions Probability density function A random variable has a \textrm(\mu, b) distribution if its probability density function is :f(x\mid\mu,b) = \frac \exp \left( -\frac \right) \,\! Here, \mu is a location parameter and b > 0, which ...
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Victor Laplace
The name Victor or Viktor may refer to: * Victor (name), including a list of people with the given name, mononym, or surname Arts and entertainment Film * ''Victor'' (1951 film), a French drama film * ''Victor'' (1993 film), a French short film * ''Victor'' (2008 film), a 2008 TV film about Canadian swimmer Victor Davis * ''Victor'' (2009 film), a French comedy * ''Victor'', a 2017 film about Victor Torres by Brandon Dickerson * ''Viktor'' (film), a 2014 Franco/Russian film Music * ''Victor'' (album), a 1996 album by Alex Lifeson * "Victor", a song from the 1979 album ''Eat to the Beat'' by Blondie Businesses * Victor Talking Machine Company, early 20th century American recording company, forerunner of RCA Records * Victor Company of Japan, usually known as JVC, a Japanese electronics corporation originally a subsidiary of the Victor Talking Machine Company ** Victor Entertainment, or JVCKenwood Victor Entertainment, a Japanese record label ** Victor Interactive So ...
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Cyrille Pierre Théodore Laplace
Cyrille Pierre Théodore Laplace (7 November 1793 – 24 January 1875) was a French navigator famous for his circumnavigation of the globe on board ''La Favorite''. He was pivotal in the opening of French trade in the Pacific and was instrumental in the establishment of the Hawaiian Catholic Church. He achieved the rank of captain. Early life Laplace was born at sea on 7 November 1793. He joined the French Navy and fought in the Indian and Atlantic Oceans, along with battles in the West Indies. He was promoted from Aspirant to Ship-of-the-Line Lieutenant in 1823, and to Frigate Captain in 1828. He had been awarded he Cross of Saint-Louis in 1825. He, at some point, was in command of a schooner in Gorée, Senegal. Voyage of ''La Favorite'' As British, American and Dutch voyages began solidifying their interests in Australia, Hawaii and New Guinea, the French government sought to secure the religious freedoms and rights of French residents in the South Pacific. Voyages such as ...
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Charles Laplace
Charles Elroy Laplace (died 19 December 2008) was the most recent person executed by Saint Kitts and Nevis. On 28 February 2006, Laplace was convicted of murdering his wife Diane by stabbing her in their home in Figtree on 12 February 2004. On 30 March 2006, Laplace was sentenced to death by hanging. Laplace was hanged at the prison in Basseterre on 19 December 2008. It was the country's first execution since 2000 and the only execution in the Americas outside the United States since 2003. Laplace's execution was controversial because it was carried out before he was able to appeal his case to the Judicial Committee of the Privy Council in London, which is the supreme court for Saint Kitts and Nevis. Human rights activists and opposition politicians also pointed out that Laplace was not represented by legal counsel at the time of his execution. See also *List of most recent executions by jurisdiction References External links *Amnesty International Amnesty Interna ...
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Mobile Suit Gundam Unicorn
is a novel by popular Japanese author Harutoshi Fukui (''Shūsen no Lorelei'', ''Bōkoku no Aegis'', '' Samurai Commando: Mission 1549''). The novel takes place in Gundam's Universal Century timeline. Character and mechanical designs are provided by Yoshikazu Yasuhiko and Hajime Katoki, respectively. An anime adaptation was produced by Sunrise as a seven-episode original video animation series and released between March 12, 2010 and June 6, 2014 on DVD and Blu-ray Disc. It was directed by Kazuhiro Furuhashi. A television recompilation of the anime adaptation titled ''Mobile Suit Gundam Unicorn RE:0096'' began airing on April 3, 2016, replacing ''Brave Beats'', and becoming the first ''Gundam'' series to air on TV Asahi since ''After War Gundam X'' which ended in 1996. ''Mobile Suit Gundam Unicorn RE:0096'' also aired in the United States on Adult Swim's Toonami programming block beginning on January 8, 2017. The 11th novel volume, ''Phoenix Hunting'', was loosely adapted ...
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