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Rubato Composer
Rubato Composer is free (GPL) software that allows one to compose music or transform existing music with the help of mathematical Category Theory and Topos Theory. It is currently the only software for music composition based on Category Theory. It was developed by Gérard Milmeister and Guerino Mazzola. The predecessor Presto is no longer developed and runs only on Atari computers. See also * List of music software This is a list of software for creating, performing, learning, analyzing, researching, broadcasting and editing music. This article only includes software, not services. For streaming services such as iHeartRadio, Pandora, Prime Music, and Spotify, ... External links * Older version for NeXTstep and Mac OS Further reading * Music software {{Music-software-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Software
Software is a set of computer programs and associated software documentation, documentation and data (computing), data. This is in contrast to Computer hardware, hardware, from which the system is built and which actually performs the work. At the low level language, lowest programming level, executable code consists of Machine code, machine language instructions supported by an individual Microprocessor, processor—typically a central processing unit (CPU) or a graphics processing unit (GPU). Machine language consists of groups of Binary number, binary values signifying Instruction set architecture, processor instructions that change the state of the computer from its preceding state. For example, an instruction may change the value stored in a particular storage location in the computer—an effect that is not directly observable to the user. An instruction System call, may also invoke one of many Input/output, input or output operations, for example displaying some text on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Category Theory
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is used in almost all areas of mathematics, and in some areas of computer science. In particular, many constructions of new mathematical objects from previous ones, that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient spaces, direct products, completion, and duality. A category is formed by two sorts of objects: the objects of the category, and the morphisms, which relate two objects called the ''source'' and the ''target'' of the morphism. One often says that a morphism is an ''arrow'' that ''maps'' its source to its target. Morphisms can be ''composed'' if the target of the first morphism equals the source of the second one, and morphism com ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topos Theory
In mathematics, a topos (, ; plural topoi or , or toposes) is a category that behaves like the category of sheaves of sets on a topological space (or more generally: on a site). Topoi behave much like the category of sets and possess a notion of localization; they are a direct generalization of point-set topology. The Grothendieck topoi find applications in algebraic geometry; the more general elementary topoi are used in logic. The mathematical field that studies topoi is called topos theory. Grothendieck topos (topos in geometry) Since the introduction of sheaves into mathematics in the 1940s, a major theme has been to study a space by studying sheaves on a space. This idea was expounded by Alexander Grothendieck by introducing the notion of a "topos". The main utility of this notion is in the abundance of situations in mathematics where topological heuristics are very effective, but an honest topological space is lacking; it is sometimes possible to find a topos forma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gérard Milmeister
Gérard (French: ) is a French masculine given name and surname of Germanic origin, variations of which exist in many Germanic and Romance languages. Like many other early Germanic names, it is dithematic, consisting of two meaningful constituents put together. In this case, those constituents are ''gari'' > ''ger-'' (meaning 'spear') and -''hard'' (meaning 'hard/strong/brave'). The English cognate of Gérard is Gerard. As a given name * Gérard Adanhoumé (born 1986), Beninese footballer * Gérard Araud (born 1953), Permanent Representative of France to the United Nations * Gérard Asselin (born 1950), Canadian politician * Gérard Audran (1640-1703), French engraver * Gérard Bailly (born 1940), French politician * Gérard Balanche (born 1968), Swiss ski jumper and Olympian * Gérard Banide (born 1936), French football coach * Gérard Bapt (born 1946), French politician * Gérard Barray (born 1931), French film and television actor * Gérard Barreaux (1948-2010), French acco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guerino Mazzola
Guerino Bruno Mazzola (born 1947) is a Swiss mathematician, musicologist, jazz pianist as well as a writer. Education and career Mazzola obtained his PhD in mathematics at University of Zürich in 1971 under the supervision of Herbert Groß and Bartel Leendert van der Waerden. In 1980, he habilitated in Algebraic Geometry and Representation Theory. In 2000, he was awarded the medal of the Mexican Mathematical Society. In 2003, he habilitated in Computational Science at the University of Zürich. Mazzola was an associate professor at Laval University in 1996 and at Ecole Normale Supérieure in Paris in 2005. Since 2007, he is professor at the School of Music at the University of Minnesota. From 2007 to 2021 he was the president of the Society for Mathematics and Computation in Music. Mazzola is well known for his music theory book ''The Topos of Music''. The result has drawn consent from Alexander Grothendieck (''Das ist wohl schon die Mathematik des neuen Zeitalters.'') and d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atari
Atari () is a brand name that has been owned by several entities since its inception in 1972. It is currently owned by French publisher Atari SA through a subsidiary named Atari Interactive. The original Atari, Inc., founded in Sunnyvale, California, in 1972 by Nolan Bushnell and Ted Dabney, was a pioneer in arcade games, home video game consoles and home computers. The company's products, such as '' Pong'' and the Atari 2600, helped define the electronic entertainment industry from the 1970s to the mid-1980s. In 1984, as a result of the video game crash of 1983, the home console and computer divisions of the original Atari Inc. were sold off, and the company was renamed Atari Games Inc. Atari Games received the rights to use the logo and brand name with appended text "Games" on arcade games, as well as the derivative coin-operated arcade rights to the original 1972–1984 arcade hardware properties. The Atari Consumer Electronics Division properties were in turn sold to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Music Software
This is a list of software for creating, performing, learning, analyzing, researching, broadcasting and editing music. This article only includes software, not services. For streaming services such as iHeartRadio, Pandora, Prime Music, and Spotify, see Comparison of on-demand streaming music services. For storage, uploading, downloading and streaming of music via the cloud, see Comparison of online music lockers. This list does not include discontinued historic or legacy software, with the exception of trackers that are still supported. For example, the company Ars Nova produces music education software, and its software program Practica Musica has remnants of the historic Palestrina software. Practica will be listed here, but not Palestrina. If a program fits several categories, such as a comprehensive digital audio workstation or a foundation programming language (e.g. Pure Data), listing is limited to its top three categories. Types of music software CD ripping software * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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