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Encyclopedia results for Formal concept analysis

Formal concept analysis





Encyclopedia results for Formal concept analysis

  1. Formal concept analysis

    Formal concept analysis is a principled way of automatically deriving an Ontology computer science ontology ... Birkhoff and others in the 1930s. Intuitive description Formal concept analysis refers to both an unsupervised machine learning technique and, more broadly, a method of data analysis . The approach ... diagram The Hasse diagram of the concept lattice also called, in formal concept analysis, a line diagram ... in the number of input objects and attributes per generated concept. Formal Concept Analysis tools .... In Suplementary Proceeding of International Conference on Formal concept analysis ICFCA 10 , 2010 ... Wille first2 Rudolf title Formal Concept Analysis Mathematical Foundations publisher Springer Verlag ... first Karl Erich last Wolff contribution A first course in Formal Concept Analysis title StatSoft ... 3. Formal Concept Analysis publisher Cambridge University Press isbn 978 0 521 78451 1 year 2002 . External links http www.fcahome.org.uk A Formal Concept Analysis Homepage http www.ketlab.org.uk scripts context Demo http w3.uqo.ca icfca10 8th International Conference on Formal Concept Analysis. ICFCA 2010 Agadir, Morocco, March 15 18, 2010 DEFAULTSORT Formal Concept Analysis Category Machine learning ... CCFFFF 8 9 10 A formal concept for a context is defined to be a pair O sub i sub , A sub i sub such that O ... Concept Analysis Foundations and Applications publisher Lecture Notes in Artificial Intelligence, no. 3626 ... Claudio last2 Romano first2 Giovanni title Concept Data Analysis Theory and Applications publisher ... wolff Publikationen A First Course in Formal Concept Analysis.pdf pages 429 438 year 1994 . citation ..., and a concept is a pair containing both a natural property cluster and its corresponding natural object ... , and is called a concept lattice in French this is called a Treillis de Galois because the relation ... of attributes in each concept can be interpreted as a set of singly necessary and jointly sufficient conditions for defining the set of objects in the concept. Conversely, if a set of attributes ...   more details



  1. Formal analysis

    orphan date April 2010 A formal analysis is an established method for analyzing works of art . First introduced by Roger de Piles 1635 1709 , in his book the Principles of Painting, the technique of formal analysis is more fully developed by Roger Fry in Vision and Design 1909 . For a particular work of art , a formal anaylsis consists of a purely visual description of the work irrespective of cultural context, history , or artistic motivation. As such, it is a basic tool for Art history art historians and artist s to understand the purely visual aspects of a work of art. This is not to say that such cultural or motivational interpretations can be separated from the artwork, but that the visual elements provide an essential starting point for understanding a work of art. Elements of a formal analysis include descriptions of color, space, line, volume, mass and composition. Category Visual arts Historiography Semiotics ...   more details



  1. Formal

    wiktionarypar formal Formal, adj. relating to an established procedure or set of specific behaviors. For other uses of form see Form disambiguation p For other uses of formalism see Formalism disambiguation p Formal may also refer to p Formal university , a type of ceremonial event at university School formal , a type of ceremonial event at school Formal wear , clothing for formal occasions Informal sector , as opposed to Formal sector , economic activity beyond the purview of government A Formality , an established procedure or set of specific behaviors Logic and mathematics Formal logic Informal, formal, and symbolic logic Formal logic , logical argument based on form Formal cause , Aristotle s intrinsic, determining cause Formal power series , a generalization of power series without requiring convergence, used in combinatorics Formal calculation , a calculation which is systematic, but without a rigorous justification Formal set theory , as opposed to Naive set theory Formal derivative , an operation on elements of a polynomial ring which mimics the form of the derivative from calculus Linguistics Formal system , an abstract means of generating inferences in a formal language Formal language , comprising the symbolic words or sentences of a formal system Formal grammar , a grammar describing a formal language Formal proof , a fully rigorous proof as is possible only in a formal system Dynamic and formal equivalence word for word translation, especially of the Bible Chemistry Formaldehyde , short form for, also formalin Dimethoxymethane , a synonym for this a quantity similar to molar concentration Computer science Formal methods , mathematically based techniques for the specification, development and verification of software and hardware systems Formal specification , describes what a system should do, not how it should do it Formal verification , proves correctness of a system disambig cs Form ln fr Formel it Formalit nl Formeel no Formel ...   more details



  1. Concept

    of concepts or Begriffsgeschichte Conceptual model Conveyed concept Definitionism Formal concept analysis ...Other uses A concept abstract term conception is a cognitive unit of meaning an abstraction abstract idea or a mental symbol sometimes defined as a unit of knowledge, built from other units which act as a concept s characteristics . A concept is typically associated with a corresponding representation ... between concept and object holds that they are abstract objects . ref The Ontology of Concepts ... concepts to be a fundamental ontological category of being . The meaning of concept is explored in mainstream ... for Information Science and Technology, 61 10 , 1951 1969. ref ref Hj rland, B. 2009 . Concept Theory ... cognitive science , metaphysics , and philosophy of mind . The term concept is traced back to 1554 60 ... of a general idea corresponds to a description of a concept. According to Locke, a general idea is created ... individuals. For example, the abstract general idea or concept that is designated by the word ... idea or concept that is signified by the word dog is the collection of those characteristics which ... and Pathology, Schopenhauer said that a concept is drawn off from previous images ... by putting off their differences. This concept is then no longer intuitively perceptible, but is denoted and fixed merely by words. Nietzsche , who was heavily influenced by Schopenhauer, wrote Every concept originates through our equating what is unequal. No leaf ever wholly equals another, and the concept leaf ... By contrast to the above philosophers, Immanuel Kant held that the account of the concept as an abstraction ... concept is a general representation Vorstellung or non specific thought of that which is common to several specific perceived objects Logic , I, 1., 1, Note 1 . A concept is a common feature or characteristic ... of generating any concept whatever. For example, I see a fir, a willow, and a linden. In firstly ... a concept of a tree. Logic, 6 Kant s description of the making of a concept has been paraphrased ...   more details



  1. The Concept

    Unreferenced date December 2009 About the album by Slave band Slave the EP by Teenage Fanclub The Concept EP Infobox Album See Wikipedia WikiProject Albums Name The Concept Type studio Artist Slave band Slave Cover Released 1978 Recorded Genre Funk Length Label Producer Reviews Last album The Hardness of the World br 1977 This album The Concept br 1978 Next album Just a Touch of Love br 1979 The Concept is the third album by United States American funk music funk band Slave band Slave , released in 1978 see 1978 in music . The album also features a song called Drac is Back , which features a chorus of vocalists who sing the song s chorus in unison. What makes this song unique is the way the first chorus ends on a note that smoothly slides up one octave , seamlessly blending into a wild guitar solo . As a result, the vocalists sound as though they are transforming into an electric guitar. This song s guitar solo is also longer and far more elaborate that is richer than the average guitar solo in a song of the funk genre. Track listing Stellar Fungk 8 43 The Way You Love Is Heaven 4 33 Thank You Lord 1 31 Drac Is Back 3 59 We ve Got Your Party 4 49 Just Freak 7 56 Coming Soon 6 20 DEFAULTSORT Concept, The Category Slave albums Category 1978 albums ...   more details



  1. Formal calculation

    In mathematical logic , a formal calculation is sometimes defined as a calculation which is systematic, but without a rigorous justification . This means that we are manipulating the symbols in an expression using a generic substitution, without proving that the necessary conditions hold. Essentially, we are interested in the form of an expression, and not necessarily its underlying meaning. This reasoning can either serve as positive evidence that some statement is true, when it is difficult or unnecessary to provide a proof, or as an inspiration for the creation of new completely rigorous definitions. However, this interpretation of the term formal is not universally accepted, and some consider it to mean quite the opposite A completely rigorous argument, as in mathematical logic formal mathematical logic . Examples A simple example A somewhat exaggerated example would be to use the equation math sum n 0 infty q n frac 1 1 q math which holds under certain conditions to conclude that math sum n 0 infty 2 n 1. math This is incorrect according to the usual definition of infinite sums of real numbers, since the related sequence does not converge. However, this result can inspire extending the definition of infinite sums, and the creation of new fields, such as the p adic number 2 adic numbers , where the series in question converges and this statement is perfectly valid. Formal power series Formal power series is a concept that adopts some properties of convergent power series used in real analysis , and applies them to objects that are similar to power series in form, but have nothing to do with the notion of convergence. Symbol manipulation Suppose we want to solve the differential equation math frac dy dx y 2 math Treating these symbols as ordinary algebraic ones, and without ... frac 1 C x math Because this is a formal calculation, we can also allow ourselves to let math C infty .... See also Formal power series Mathematical logic References cite book author Stuart S. Antman title ...   more details



  1. Formal proof

    see also mathematical proof proof theory axiomatic system A formal proof or derivation is a finite sequence of Proposition philosophy sentences called well formed formula s in the case of a formal language ... . The last sentence in the sequence is a theorem of a formal system . The notion of theorem ... find a proof of a given sentence or determine that none exists. The concept of natural deduction is a generalization of the concept of proof. ref The Cambridge Dictionary of Philosophy, deduction ... of the deductive apparatus of some formal system to the previous well formed formulae in the proof sequence. Formal proofs often are constructed with the help of computers in interactive theorem proving . Significantly, these proofs can be checked automatically, also by computer. Checking formal proofs ... upon the formal system in use. Background Formal language Main Formal language A formal language ... any meaning. Formal proofs are expressed in some formal language. Formal grammar main Formal grammar Formation rule A formal grammar also called formation rules is a precise description of the well formed formula s of a formal language. It is synonymous with the set of String computer science strings over the alphabet of the formal language which constitute well formed formulas. However, it does not describe their semantics i.e. what they mean . Formal systems main Formal system A formal system also called a logical calculus , or a logical system consists of a formal language together with a deductive ... of transformation rule s also called inference rules or a set of axiom s, or have both. A formal system ... main Formal semantics Interpretation logic An interpretation of a formal system is the assignment of meanings to the symbols, and truth value s to the sentences of a formal system. The study of interpretations is called formal semantics . Giving an interpretation is synonymous with constructing a Structure ... title A Special Issue on Formal Proof url http www.ams.org notices 200811 work Notices of the American ...   more details



  1. Formal ontology

    external information source and a concept in the formal ontology that corresponds with the meaning of the former concept. Where two or more external information sources map to one and the same formal ... connected to that formal ontology concept that frames this element in reality. br The lexicon , the collection ...no footnotes date August 2009 Expert subject Philosophy date February 2009 A formal ontology is an ontology with a structure that is guided and defined through axiom s. The goal of a formal ontology is to provide ... views of reality reality . Formal ontologies are founded upon a specific formal Foundation ontology .... content and context independence any kind of concept can find its place. accommodate different levels ... . Existing formal upper level ontologies foundational ontologies main Upper ontology information science Basic Formal Ontology BFO Basic Formal Ontology Upper ontology computer science DOLCE and DnS DOLCE Descriptive Ontology for Linguistic and Cognitive Engineering General Formal Ontology GFO General Formal Ontology Object centered high level reference ontology OCHRE Object Centered High level ... Upper Mapping and Binding Exchange Layer Common terms in formal ontologies The Difference in terminology used between separate formal upper level ontologies can be quite substantial, but the one and foremost dichotomy most formal upper level ontologies apply is that between endurants and perdurants ... that can be observed perceived as a complete concept, at no matter which given snapshot of time . Were ... entity in many formal ontologies this entity is restricted to be an endurant in which they occupy ... formal upper level ontologies recognize qualities, attributes, tropes, or something related, although ... endurants example Basic Formal Ontology BFO . Others consider property instances or tropes that are single ... Object centered high level reference ontology OCHRE . Formal versus non formal Example An ontology might contain a concept representing mobility of the arm . In a nonformal ontology a concept like this can ...   more details



  1. Formal semantics

    Formal semantics may refer to Formal semantics logic Formal semantics of programming languages Formal semantics linguistics dab ...   more details



  1. Formal methods

    File Agendacumple en Z.jpg thumb upright An example formal specification using the Z notation . In computer science and software engineering , formal methods are a particular kind of mathematically based techniques for the formal specification specification , development and formal verification verification of software and hardware systems. ref name butler cite web author R. W. Butler title What is Formal ... ref The use of formal methods for software and hardware design is motivated by the expectation that, as in other engineering disciplines, performing appropriate mathematical analysis can contribute ... Should Consider Formal Methods url http klabs.org richcontent verification holloway nasa 97 ... 11 16 ref However, the high cost of using formal methods means that they are usually only used in the development ..., 201 232 2002 ref where safety or security is of utmost importance. Formal methods are best described ... logic in computer science logic calculi, formal language s, automata theory, and program semantics ... and verification. ref Monin, pp.3 4 ref Taxonomy Formal methods can be used at a number of levels Level 0 Formal specification may be undertaken and then a program developed from this informally. This has been dubbed formal methods lite . This may be the most cost effective option in many cases. Level 1 Formal development and formal verification may be used to produce a program in a more formal manner. For example, proofs of properties or program refinement refinement from the formal specification ... systems involving safety or security . Level 2 Theorem prover s may be used to undertake fully formal ... on this is expanded Uses below . As with Formal semantics of programming languages programming language semantics , styles of formal methods may be roughly classified as follows Denotational semantics ... and afterwards . Lightweight formal methods Some practitioners believe that the formal methods community ... Wing, http people.csail.mit.edu dnj publications ieee96 roundtable.html Lightweight Formal ...   more details



  1. Formal charge

    Image Formal charge Principle V.1.svg 350px right Formal charge in ozone and the nitrate anion In chemistry , a formal charge FC is the charge assigned to an atom in a molecule , assuming that electron s in a chemical bond are shared equally between atoms, regardless of relative electronegativity . The formal ... such that the formal charge without sign on each of the atoms is minimized. Formal charge is a test .... There are no lone pairs of electrons left. Thus, using the definition of formal charge, hydrogen has a formal charge of zero 1 0 2 and nitrogen has a formal charge of 1 5 0 8 . After adding up all the formal charges throughout the molecule the result is a total formal charge of 1, consistent with the charge of the molecule given in the first place. Note The total formal charge in a molecule ... oxygen carbon dioxide formal charge 0 Carbon single bonded to one oxygen and double bonded to another carbon 1, oxygen sub double sub 0, oxygen sub single sub 1, total formal charge 0 Carbon double bonded to both oxygen atoms carbon 0, oxygens 0, total formal charge 0 Even though all three structures ... Draw a circle around the atom for which the formal charge is requested as with carbon dioxide, below ... the older system of group numbering, NOT the IUPAC 1 18 system to determine the formal charge. Image ls3.png center 350px The formal charges computed for the remaining atoms in this Lewis structure of carbon ... cited above, but is much easier to use. It is important to keep in mind that formal charges are just that formal , in the sense that this system is a formalism. Atoms in molecules do not have signs around their necks indicating their charge. The formal charge system is just a method to keep track of all of the valence electrons that each atom brings with it when the molecule is formed. Formal Charge vs. Oxidation State The concept of oxidation states constitutes a competing method to assess the distribution of electrons in molecules. If the formal charges and oxidation states of the atoms ...   more details



  1. Formal verification

    of these systems is done by providing a formal proof on an abstract mathematical model ... algebra , formal semantics of programming languages such as operational semantics , denotational ... to formal verification There are roughly two approaches to formal verification. Citation needed date ... a formal version of mathematical reasoning about the system, usually using theorem proving software ... of designs increases the importance of formal verification techniques in the hardware industry. ref ...?id 800667 ref At present, formal verification is used by most or all leading hardware companies ... proof methods, making formal verification easier to introduce and more productive. ref http www.cl.cam.ac.uk jrh13 slides types 04sep99 slides1.pdf Formal Verification in Industry ref As of 2011 ... proving Formal equivalence checking LURCH Model checking Proof checker Property Specification Language List of important publications in computer science Formal verification Selected formal verification bibliography Static code analysis Temporal logic in finite state verification Post silicon validation ... Category Electronic circuit verification Category Formal methods Category Logic in computer science ... el es Verificaci n formal fr V rification formelle he lt Verifikacija ja no Verifikasjon pl Weryfikacja formalna pt Verifica o formal ru ...   more details



  1. Formal sciences

    science The formal sciences are the branches of knowledge that are concerned with formal system s, such as logic ... theory , statistics , and some aspects of linguistics . Unlike other sciences, the formal sciences ... real world , but instead with the properties of formal system s based on definition s and Rule of inference rule s. Methods of the formal sciences are, however, applied in constructing and testing scientific model s dealing with observable reality. History Formal sciences began before the formulation ..., logic is another example of one of oldest subjects in the field of the formal sciences. As an explicit analysis of the methods of reasoning, logic received sustained development originally ... medieval China. As a number of other disciplines of formal science rely heavily on mathematics, they did ... of a range of formal or mathematical sciences. Differences from other forms of science quote One reason ... 9. ref As opposed to empirical sciences natural, social , formal sciences presuppose no knowledge ..., formal sciences are both logically and methodologically a priori , for their content and validity are independent of any empirical procedures. Although formal sciences are conceptual systems ... is such that their formal statements hold in all possible worlds whereas, statements based ... possible worlds, and may even turn out not to hold in this world. That is why formal sciences are applicable ..., formal sciences are normally construed by outlining a set of axioms and definitions from which other statements theorems are deduced. In other words, theories in formal sciences contain no Analytic ... analytical . See also Wikipedia Books Formal science colbegin Rationalism Abstract structure Abstraction ... Formal Formal language Formal method Formal system Mathematical model colend References reflist .... C. West Churchman 1940 . Elements of Logic and Formal Science , J.B. Lippincott Co., New York. James ... The formal sciences discover the philosophers stone . In Studies in History and Philosophy of Science ...   more details



  1. Formal language

    and mathematics, which do not usually deal with natural language s, the adjective formal is often omitted as redundant. While formal language theory usually concerns itself with formal languages that are described by some syntactical rules, the actual definition of the concept formal language is only ... s. The notion of a formal grammar may be closer to the intuitive concept of a language, one described by syntactic rules. By an abuse of the definition, a particular formal language is often thought of as being equipped with a formal grammar that describes it. Examples The following rules describe ... framework formal language as a mode of speech Register sociolinguistics A formal language is a set mathematics set of words , i.e. finite string computer science strings of symbol formal letters ... science alphabet over which the language is defined. A formal language is often defined by means of a formal grammar also called its formation rule s accordingly, words that belong to a formal language are sometimes called well formed words or well formed formula s . Formal languages are studied in computer science and linguistics the field of formal language theory studies the purely syntactical aspects of such languages that is, their internal structural patterns . Formal languages are often used ... s. Formal languages play a crucial role in the development of compiler s, typically produced by means ... code . Since formal languages alone do not have semantics, other formal constructs are needed for the formal specification of program semantics . Formal languages are also used in logic and in foundations of mathematics to represent the syntax of formal theories. Logical system s can be seen as a formal ... of a T schema for first order logic is an example of fully interpreted formal language all its ... of formal languages can be any set mathematics set , although it often makes sense to use ... it by a word sentence metaphor. Definition A formal language L over an alphabet is a subset ...   more details



  1. Formal organization

    which is inherent in any formal organisation. Permit the application of the concept of specialization ...Formal organization is a fixed set of rules of intra organization procedures and structures. As such, it is usually set out in writing, with a language of wiktionary rule rules that ostensibly leave little discretion for interpretation logic interpretation . In some societies and in some organization, such rules may be strictly followed in others, they may be little more than an empty formalism. File Training meeting in a ecodesign stainless steel company in brazil.JPG thumb 350px right The photo shows a training meeting with factory workers in a stainless steel ecodesign company from Rio de Janeiro , Brazil . An example of formal organization To facilitate the accomplishment of the goals of the organization In a formal organization the work is delegated to each individual of the organization. He She works towards the attainment of definite goals, which are in compliance with the goals of the organisation ... of a formal organization Well defined rules and regulation Arbitrary structure Determined objectives ... organization Formal rules are often adapted to subjective interests &mdash social structures within ... represent some mix of formal and informal. Consequently, when attempting to legislate for an organization and to create a formal structure, it is necessary to recognize informal organization in order ..., can work against mismanagement. blockquote Formal organizations are typically understood to be systems ... relations and boundary spanning exchanges. But in modern societies, formal organizational ... to buffer their formal structures from the uncertainties of the technical activities by developing a loose coupling between their formal structures and actual work activities. John Meyer and Brian Rowan ... , however, formal organization fades into the background and only serves, if necessary ... PRELIMS Orgs orgs2.html Institutionalized Organizations Formal Structure as Myth and Ceremony ...   more details



  1. Formal distinction

    Scotism In scholastic metaphysics , a formal distinction is a distinction intermediate between what is merely conceptual, and what is fully real or mind independent. It was made by some realist philosophers of the Scholasticism Scholastic period in the thirteenth century, and particularly by Duns Scotus . Background Many realist philosophers of the period such as Aquinas and Henry of Ghent , recognised the need for an intermediate distinction that was not merely conceptual, but not fully real or mind dependent either. Aquinas held that the difference between our concepts arise not just in the mind, but have a foundation in the thing fundamentum in re . Henry held that there was an intentional distinction distinctio intentionalis such that intentions i.e. concepts that are distinct in the mind, correspond to things which are potentially distinct in reality. Scotus argued for a formal distinction distinctio formalis a parte rei , which holds between entities which are inseparable and indistinct in reality, but whose definitions are not identical. For example, the personal properties of the Trinity are formally distinct from the Divine essence. Similarly, the distinction between the thisness or haecceity of a thing is intermediate between a real and a conceptual distinction ref Honderich p. 209 ref . There is also a formal distinction between the divine attributes and the powers of the soul. William of Ockham Ockham was opposed to the idea, arguing that whenever there is any distinction or non identity in reality, then two contradictory statements can be made. But contradictory statements cannot be truly asserted unless the realities they stand for either 1 distinct real things 2 distinct concepts or 3 a thing and a concept. But if they all exist in reality, they are not distinct concepts, nor are they a real thing and a concept. Therefore they are distinct in reality ref .... Category Metaphysics DEFAULTSORT Formal Distinction ...   more details



  1. Formal democracy

    primarysources date May 2010 POV date May 2009 Formal democracy is a State polity state system that has in place superficial forms of democracy but is not actually managed democratically. The former Soviet Union has been retroactively characterized in this fashion since its constitution was essentially democratic, while the state was managed by the bureaucracy bureaucratic lite known as the Politburo . But the concept was originally introduced in the 1988 book Manufacturing Consent by Edward S. Herman and Noam Chomsky to describe one effect of USA Foreign policy of the United States foreign policy and Nation building techniques which created market client states for neo liberalism neo liberal capitalism . States identified by Herman & Chomsky as formal democracies include pre revolutionary Iran , Nicaragua under Anastasio Somoza Garc a Somoza and the Philippines under Ferdinand Marcos Marcos . The United States, especially from 1980 on under Ronald W. Reagan, is also said to fit the description, as all levers of government were effectively controlled and often directly staffed by members of the plutocracy. The visible manifestations of this mode of government seemed to have peaked during the administration of George W. Bush, who went so far as to seek to undermine the US Constitution itself, but government by manipulated consent is a problem afflicting the entire US political system, regardless of party affiliation, and is likely to continue until extensive radical reforms are implemented to overhaul or bypass the business controlled mass communications system, inaugurate proportional representation, root out corporate lobbying and overwhelming corporate influence on all sectors of national policy, and embrace other measures designed to make the satisfaction of the well informed ordinary citizen s interest the chief object of political activity. In the acquisition of this ambitious ... Category Government DEFAULTSORT Formal Democracy ...   more details



  1. Formal theory

    Formal theory can refer to Another name for a Theory mathematical logic theory which is expressed in formal language . An axiomatic system , something representable by symbols and its operators Formal theory political science Formal theory from political science , the theoretical modeling of social systems based on game theory , dynamical systems theory , among other interdisciplinary fields. ref http www.polisci.ucla.edu portlets methodology Formal Theory & Quantitative Methods , from UCLA s Department of Political Science website. ref References references disambig ...   more details



  1. Formal trousers

    File Morning dress 1901.jpg thumb right Morning dress with formal striped trousers Fashion , 1901 Formal trousers in British Cashmere stripes or American slang spongebags are formal trousers, either checked or striped, worn with morning dress and stroller style semi formal daywear . They have a muted design in black, silver and charcoal grey, and are made from heavy wool. clothing stub Category Formalwear ...   more details



  1. Formal moduli

    In mathematics , formal moduli are an aspect of the theory of moduli space s of algebraic varieties or vector bundle s, for example , closely linked to deformation theory and formal geometry . Roughly speaking, deformation theory can provide the Taylor polynomial level of information about deformations, while formal moduli theory can assemble consistent Taylor polynomials to make a formal power series theory. The step to moduli spaces, properly speaking, is an algebraization question, and has been largely put on a firm basis by Artin s approximation theorem . A formal universal deformation is by definition a formal scheme over a complete local ring , with special fiber the scheme over a field being studied, and with a universal property amongst such set ups. The local ring in question is then the carrier of the formal moduli. References Springer id d d030700 title Deformation Category Moduli theory ...   more details



  1. Formal wear

    Unreferenced date November 2008 Dress code Western Formal wear US and formal dress UK, Australia, New Zealand, Canada and other Commonwealth Realms are the general terms for clothing suitable for formal social events, such as a wedding , formal garden party or dinner, d butante cotillion , dance, or race. The Western style of formal evening dress, characterized by black and white garments, has spread through many countries it is almost always the standard formal social dress in countries without a formal national costume . A dress code Western dress code is a set of rules governing a certain combination of clothing some examples are black tie and morning dress . Formal dress is the grouping of all the dress codes which govern clothes worn to formal events. The traditional rules that govern men s formal dress are strictly observed By whom date August 2010 from these derive the evening dress variants worn on many occasions, such as high school prom dances, formal dances, and entertainment industry award programs. The dress codes considered formal in the evening are white tie and black tie Citation needed date November 2010 . In the UK, morning dress is standard formal day time clothing ... countries still have the semi formal daywear code, the stroller style stroller . TOC limit 3 Terminology formal File Girl.in.Prom.Dress.1950s.jpg thumb right 150px Girl in formal dress, United States of America USA , 1950s The continual relaxation of formal dress standards since the end of the World War II Second World War is redefining what clothes constitute formal and semi formal dress. The original ... the most formal option available, while half dress and undress ranked beneath it. They indicated different clothes, but correspond somewhat to the twenty first century structure of formal, semi formal ... as most formal , very formal or ultra formal black tie as formal and the traditionally informal lounge suit as pseudo formal . Moreover, modern advisers recommend black tie for events traditionally ...   more details



  1. Formal specification

    File Agendacumple en Z.jpg thumb upright An example formal specification using the Z notation . In computer science , a formal specification is a mathematics mathematical description of software or hardware that may be used to develop an implementation . It describes what the system should do, not necessarily how the system should do it. Given such a specification , it is possible to use formal verification techniques to demonstrate that a candidate system design is correct with respect to the specification. This has the advantage that incorrect candidate system designs can be revised before a major investment has been made in actually implementing the design. An alternative approach is to use provably correct Program refinement refinement steps to transform a specification into a design, and ultimately into an actual implementation, that is correct by construction. A design or implementation ... . Whether the formal specification correctly describes the problem to be solved is a separate ... abstracted formal representations of an informal concrete problem domain , and such an abstraction step is not amenable to formal proof. However, it is possible to verification and validation validate ... the specification. The Z notation is an example of a leading formal specification language ... Machine Notation AMN of the B Method . In the Web services area, formal specification is often used ... f formal specification Formal Specification ref Web services Quality of Service . See also Algebraic specification Formal methods Specification technical standard Software engineering Specification ... 7 29 04553 9714 A Case for Formal Specification Technology by Coryoth 2005 07 30 http c2.com cgi wiki?FormalSpecification Formal Specification Category Formal methods Category Formal specification languages Formal specification Formalmethods stub de Formale Spezifikation es Especificaci n formal lt Formali specifikacija ja pt Especifica o formal ru uk ...   more details



  1. Formal system

    Refimprove date March 2011 Original research date March 2011 In logic formal logic , a formal system also called a logical calculus Citation needed date January 2008 consists of a formal language and a set ... a deductive apparatus . A formal system may be formulated and studied for its intrinsic properties ... . Overview Each formal system has a formal language , which is composed by primitive Symbol formal symbols . These symbols act on certain rules of formation and are developed by inference from ... rules. ref Encyclop dia Britannica, http www.britannica.com eb article 9034889 formal system Formal system definition, 2007. ref Formal systems in mathematics consist of the following elements ... schema ta each axiom must be a wff. A set of rule of inference inference rules . A formal system is said ... theorists use the term formalism as a rough synonym for formal system , but the term is also used to refer ... Logical system A logical system or, for short, logic , is a formal system together with a form ... logic interpretation , which assigns truth value s to sentence mathematical logic sentence s of the formal ... sentences can be derived. Formal proofs Main Proof theory Formal proofs are sequences of wffs. For a wff ... Theorems in logic theorem . The point of view that generating formal proofs is all there is to mathematics ... metamathematics as a discipline for discussing formal systems. Any language that one uses to talk about a formal system is called a metalanguage . The metalanguage may be nothing more than ordinary ... than the formal language component of the formal system under examination, which is then called the object language , that is, the object of the discussion in question. Once a formal system is given, one can define the set of theorems which can be proved inside the formal system. This set ... with theorems about the formal system , which, in order to avoid confusion, are usually called metatheorem s. Formal language Main Formal language In mathematics, logic, and computer science ...   more details



  1. Formal manifold

    In geometry and topology , a formal manifold can mean one of a number of related concepts In the sense of Dennis Sullivan , a formal manifold is one whose real homotopy type is a formal consequence of its real cohomology ring algebro topologically this means that all Massey product s vanish. ref Manifolds, Proc. Int. Conf., Tokyo, 1973 1975 Zbl 0319.58005 ref A stronger notion is a geometrically formal manifold, which is the condition that all wedge product s of harmonic form s are harmonic. ref Kotschick, D. On products of harmonic forms. English Duke Math. J. 107, No.3, 521&ndash 531 2001 ref References references Category Manifolds topology stub ...   more details



  1. Symbol (formal)

    For other uses see Symbol disambiguation File Formal languages.png thumb 300px right This diagram shows the Syntax logic syntactic entities which may be constructed from formal language s. The symbols ... formula s. A formal language can be thought of as identical to the set of its well formed formulas. The set ... often, a formal system will simply define all of its well formed formula as theorems. ref Godel, Escher ... to express that idea in the formal language s studied in mathematics and logic , the term symbol refers .... Symbols of a formal language need not be symbols of anything. For instance there are logical ... e.g. parentheses . Symbols of a formal language must be capable of being specified without any reference .... In a formal system a symbol may be used as a token in formal operations. The set of formal symbols in a formal language is referred to as an alphabet hence each symbol may be referred to as a letter ..., and Computation , 2000 ref Page needed date October 2010 A formal symbol as used in first ... to another member of universe or a predicate mapping to T F . Formal symbols are usually thought of as purely Syntax logic syntactic structures, composed into larger structures using a formal grammar , though sometimes they may be associated with an interpretation or model a formal semantics , that define it in terms of other formal symbols. Symbol s such as or or math Box math are not formal symbols, in that their semantics is fixed they are logical constant s. Formal Symbols versus traditional ..., etc.. Formal symbols on the other hand are purely syntactic entities with no necessary association. However, in formal semantics, one attempts to construct models or interpretations based on higher ... are themselves defined in terms of other formal and therefore syntactic symbols, and are not symbol grounding grounded in entities outside the formal system hence they can be challenged as a case of circular definition . Can words be modeled as formal symbols? The move to view units ...   more details




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