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FORM (other)
Form is the shape, visual appearance, or configuration of an object. In a wider sense, the form is the way something happens. Form also refers to: *Form (document), a document (printed or electronic) with spaces in which to write or enter data *Form (education), a class, set, or group of students *Form (religion), an academic term for prescriptions or norms on religious practice *Form, a shallow depression or flattened nest of grass used by a hare *Form, or rap sheet, slang for a criminal record People * Andrew Form, American film producer * Fluent Form, Australian rapper and hip hop musician Arts, entertainment, and media *Form (visual art), a three-dimensional geometrical figure; one of the seven elements of art *Poetic form, a set of structural rules and patterns to which a poem may adhere * Musical form, a generic type of composition or the structure of a particular piece *The Forms (band), an American indie rock band Computing and technology *Form (computer virus), t ...
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Shape
A shape or figure is a graphical representation of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type. A plane shape or plane figure is constrained to lie on a '' plane'', in contrast to ''solid'' 3D shapes. A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved '' surface'' (a non-Euclidean two-dimensional space). Classification of simple shapes Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles, obtuse, acute, scalene, etc. while quadrilaterals can be rectangles, rhombi, trapezoids, squares, etc. Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. A ...
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FORM (symbolic Manipulation System)
FORM is a symbolic manipulation system. It reads text files containing definitions of mathematical expressions as well as statements that tell it how to manipulate these expressions. Its original author is Jos Vermaseren of Nikhef, the Dutch institute for subatomic physics. It is widely used in the theoretical particle physics community, but it is not restricted to applications in this specific field. Features *Definition of mathematical expressions containing various objects (symbols, functions, indices, ...) with elementary arithmetic operations *Arbitrary long mathematical expressions (limited only by disk space) *Multi-threaded execution, parallelized version for computer clusters *Powerful pattern matching and replacing *Fast trace calculation especially of gamma matrices *Built-in mathematical functions *Output into various formats (plain text, Fortran code, Mathematica code) *External communication with other software programs Example usage A text file containing Sy ...
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Indeterminate Form
In calculus and other branches of mathematical analysis, limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits; if the expression obtained after this substitution does not provide sufficient information to determine the original limit, then the expression is called an indeterminate form. More specifically, an indeterminate form is a mathematical expression involving at most two of 0~, 1 or \infty, obtained by applying the algebraic limit theorem in the process of attempting to determine a limit, which fails to restrict that limit to one specific value or infinity, and thus does not determine the limit being sought. A limit confirmed to be infinity is not indeterminate since it has been determined to have a specific value (infinity). The term was originally introduced by Cauchy's student Moigno in the middle of the 19th century. There are seven indeterminate forms which are typically c ...
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First-order Reliability Method
The first-order reliability method, (FORM), is a semi-probabilistic reliability analysis method devised to evaluate the reliability of a system. The accuracy of the method can be improved by averaging over many samples, which is known as Line Sampling. The method is also known as the Hasofer-Lind Reliability Index, developed by Professor Michael Hasofer Abraham Michael Hasofer (1927-2010) was an Australian statistician. Professor Hasofer held the position of the Chair of Statistics within the Mathematics Department in the University of New South Wales in Sydney from 1969 to 1991. He subsequentl ... and Professor Neil Lind in 1974. The index has been recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety. The analysis method depends on a "Most Probable Point" on the limit state C Annis"How FORM/SORM is Supposed to Work"/ref> See also * EN 1990 * Fast probability integration * Stress–streng ...
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Differential Form
In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For instance, the expression is an example of a -form, and can be integrated over an interval contained in the domain of : :\int_a^b f(x)\,dx. Similarly, the expression is a -form that can be integrated over a surface : :\int_S (f(x,y,z)\,dx\wedge dy + g(x,y,z)\,dz\wedge dx + h(x,y,z)\,dy\wedge dz). The symbol denotes the exterior product, sometimes called the ''wedge product'', of two differential forms. Likewise, a -form represents a volume element that can be integrated over a region of space. In general, a -form is an object that may be integrated over a -dimensional manifold, and is homogeneous of degree in the coordinate differentials dx, dy, \ldots. On an -dimensional mani ...
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Bilinear Form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called '' scalars''). In other words, a bilinear form is a function that is linear in each argument separately: * and * and The dot product on \R^n is an example of a bilinear form. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When is the field of complex numbers , one is often more interested in sesquilinear forms, which are similar to bilinear forms but are conjugate linear in one argument. Coordinate representation Let be an -dimensional vector space with basis . The matrix ''A'', defined by is called the ''matrix of the bilinear form'' on the basis . If the matrix represents a vector with respect to this basis, and analogously, represents another vector , then: B(\mathbf, \mathbf) = \mathbf^\textsf A\ma ...
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Homogeneous Polynomial
In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example, x^5 + 2 x^3 y^2 + 9 x y^4 is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial x^3 + 3 x^2 y + z^7 is not homogeneous, because the sum of exponents does not match from term to term. The function defined by a homogeneous polynomial is always a homogeneous function. An algebraic form, or simply form, is a function defined by a homogeneous polynomial. A binary form is a form in two variables. A ''form'' is also a function defined on a vector space, which may be expressed as a homogeneous function of the coordinates over any basis. A polynomial of degree 0 is always homogeneous; it is simply an element of the field or ring of the coefficients, usually called a constant or a scalar. A form of degree 1 is a linear form. A form of degree 2 is a quadra ...
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Wushu (sport)
''Wushu'' (), or ''Kung fu'', is a hard and soft and complete martial art, as well as a full-contact combat sport. It has a long history in reference to Chinese martial arts. It was developed in 1949 in an effort to standardize the practice of traditional Chinese martial arts, yet attempts to structure the various decentralized martial arts traditions date back earlier, when the Central Guoshu Institute was established at Nanking in 1928. "''Wushu''" is the Chinese term for "martial arts" (武 "Wu" = combat or martial, 術 "Shu" = art). In contemporary times, Wushu has become an international sport under the International Wushu Federation (IWUF), which holds the World Wushu Championships every two years. Wushu is an official event at the Asian Games, East Asian Youth Games, Southeast Asian Games, World Combat Games, and in various other multi-sport events. Name The word wu (武; wǔ) means ‘martial’. Its Chinese character is made of two parts; the first meaning � ...
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Taeguk (Taekwondo)
In taekwondo, taegeuk is a set of ''Pumsae'' (also known as ''Poomsae'' or ''Poomse''), or defined pattern of defense-and-attack forms used to teach taekwondo. Between 1967 and 1971, Kukkiwon-style taekwondo made use of an older set of forms called the '' palgwae'' forms developed by the Korea Taekwondo Association (KTA) with input from some of the original nine ''kwans'' of taekwondo. By 1970, additional kwans had joined the KTA so the newer set of taegeuk forms was developed to better represent inputs from all the participating kwans. By 1971, the palgwae forms were considered to be deprecated in favor of the newer taegeuk forms, though some schools still teach palgwae forms as well. All World Taekwondo Federation (WTF) Pumsae competitions use the taegeuk pumsae, along with 8 of the black belt Pumsae. To gain a black belt, a student generally must know all eight Taegeuk Poomsae and also be able to perform all of them consecutively with no breaks in between. Each Taegeuk ...
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Kata
''Kata'' is a Japanese word ( 型 or 形) meaning "form". It refers to a detailed choreographed pattern of martial arts movements made to be practised alone. It can also be reviewed within groups and in unison when training. It is practised in Japanese martial arts as a way to memorize and perfect the movements being executed. Korean martial arts with Japanese influence ( hapkido, Tang Soo Do) use the derived term '' hyeong'' (hanja: 形) and also the term ''pumsae'' (hanja: 品勢 hangeul: 품새). Kata are also used in many traditional Japanese arts such as theatre forms like kabuki and schools of tea ceremony ('' chadō''), but are most commonly known in the martial arts. Kata are used by most Japanese and Okinawan martial arts, such as iaido, judo, kendo, kenpo, and karate. Background Kata originally were teaching and training methods by which successful combat techniques were preserved and passed on. Practising kata allowed a company of persons to engage in ...
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Form Energy
Form Energy is an American energy storage company focused on developing a new class of cost-effective, multi-day energy storage systems that will enable a reliable and fully-renewable electric grid year-round. Form Energy's first commercial product is a rechargeable iron-air battery capable of storing electricity for 100 hours at system costs competitive with legacy power plants. History Form Energy was founded in 2017 by Mateo Jaramillo, former head of battery development for Tesla, MIT professor and battery scientist Yet-Ming Chiang, Ted Wiley, William Woodford and Marco Ferrara. Technology The active components of Form Energy's iron-air battery system are iron, water, and air. The basic principle of operation is reversible rusting. While discharging, the battery breathes in oxygen from the air and converts iron metal to rust. While charging, the application of an electrical current converts the rust back to iron and the battery breathes out oxygen. Each individual batt ...
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XForms
XForms is an XML format used for collecting inputs from web forms. XForms was designed to be the next generation of HTML / XHTML forms, but is generic enough that it can also be used in a standalone manner or with presentation languages other than XHTML to describe a user interface and a set of common data manipulation tasks. XForms 1.0 (Third Edition) was published on 29 October 2007. The original XForms specification became an official W3C Recommendation on 14 October 2003, while XForms 1.1, which introduced a number of improvements, reached the same status on 20 October 2009. Differences from web forms In contrast to the original web forms (originally defined in HTML), the creators of XForms have used a model–view–controller (MVC) approach. The model consists of one or more XForms models describing form data, constraints upon that data, and submissions. The view describes what controls appear in the form, how they are grouped together, and what data they are bound to. CSS ...
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