Symbolic Automatic Integrator
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Symbolic Automatic Integrator
Symbolic may refer to: * Symbol, something that represents an idea, a process, or a physical entity Mathematics, logic, and computing * Symbolic computation, a scientific area concerned with computing with mathematical formulas * Symbolic dynamics, a method for modeling dynamical systems by a discrete space consisting of infinite sequences of abstract symbols * Symbolic execution, the analysis of computer programs by tracking symbolic rather than actual values * Symbolic link, a special type of file in a computer memory storage system * Symbolic logic, the use of symbols for logical operations in logic and mathematics Music * ''Symbolic'' (Death album), a 1995 album by the band Death * ''Symbolic'' (Voodoo Glow Skulls album), a 2000 album by the band Voodoo Glow Skulls Social sciences * Symbolic anthropology, the study of cultural symbols and how those symbols can be interpreted to better understand a particular society * Symbolic capital, the resources available to an indiv ...
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Symbol
A symbol is a mark, sign, or word that indicates, signifies, or is understood as representing an idea, object, or relationship. Symbols allow people to go beyond what is known or seen by creating linkages between otherwise very different concepts and experiences. All communication (and data processing) is achieved through the use of symbols. Symbols take the form of words, sounds, gestures, ideas, or visual images and are used to convey other ideas and beliefs. For example, a red octagon is a common symbol for "STOP"; on maps, blue lines often represent rivers; and a red rose often symbolizes love and compassion. Numerals are symbols for numbers; letters of an alphabet may be symbols for certain phonemes; and personal names are symbols representing individuals. The variable 'x', in a mathematical equation, may symbolize the position of a particle in space. The academic study of symbols is semiotics. In cartography, an organized collection of symbols forms a legend for a map ...
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Symbolic Computation
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes ''exact'' computation with expressions containing variables that have no given value and are manipulated as symbols. Software applications that perform symbolic calculations are called ''computer algebra systems'', with the term ''system'' alluding to the complexity of the main applications that include, at least, a method to represent mathematical data in a computer, a user programming language (usually different from the languag ...
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Symbolic Dynamics
In mathematics, symbolic dynamics is the practice of modeling a topological or smooth dynamical system by a discrete space consisting of infinite sequences of abstract symbols, each of which corresponds to a state of the system, with the dynamics (evolution) given by the shift operator. Formally, a Markov partition is used to provide a finite cover for the smooth system; each set of the cover is associated with a single symbol, and the sequences of symbols result as a trajectory of the system moves from one covering set to another. History The idea goes back to Jacques Hadamard's 1898 paper on the geodesics on surfaces of negative curvature. It was applied by Marston Morse in 1921 to the construction of a nonperiodic recurrent geodesic. Related work was done by Emil Artin in 1924 (for the system now called Artin billiard), Pekka Myrberg, Paul Koebe, Jakob Nielsen, G. A. Hedlund. The first formal treatment was developed by Morse and Hedlund in their 1938 paper. George Birkhoff, No ...
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Symbolic Execution
In computer science, symbolic execution (also symbolic evaluation or symbex) is a means of analyzing a program to determine what inputs cause each part of a program to execute. An interpreter follows the program, assuming symbolic values for inputs rather than obtaining actual inputs as normal execution of the program would. It thus arrives at expressions in terms of those symbols for expressions and variables in the program, and constraints in terms of those symbols for the possible outcomes of each conditional branch. Finally, the possible inputs that trigger a branch can be determined by solving the constraints. The field of symbolic simulation applies the same concept to hardware. Symbolic computation applies the concept to the analysis of mathematical expressions. Example Consider the program below, which reads in a value and fails if the input is 6. int f() During a normal execution ("concrete" execution), the program would read a concrete input value (e.g., 5) and ...
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Symbolic Link
In computing, a symbolic link (also symlink or soft link) is a file whose purpose is to point to a file or directory (called the "target") by specifying a path thereto. Symbolic links are supported by POSIX and by most Unix-like operating systems, such as FreeBSD, Linux, and macOS. Limited support also exists in Windows 7 and Windows Vista, and to some degree in Windows 2000 and Windows XP in the form of shortcut files. CTSS on IBM 7090 had files linked by name in 1963. By 1978 minicomputer operating systems from DEC, and in Data General's RDOS included symbolic links. Overview A symbolic link contains a text string that is automatically interpreted and followed by the operating system as a path to another file or directory. This other file or directory is called the "target". The symbolic link is a second file that exists independently of its target. If a symbolic link is deleted, its target remains unaffected. If a symbolic link points to a target, and sometime later that ta ...
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Symbolic Logic
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in proving consistency. Work in set theory show ...
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Symbolic (Death Album)
''Symbolic'' is the sixth and penultimate studio album by American death metal band Death, released on March 21, 1995, by Roadrunner Records. The album was remastered and reissued on April 1, 2008, with five bonus tracks. It is the only album to feature Bobby Koelble and Kelly Conlon on guitar and bass, respectively, and the second and last album to feature drummer Gene Hoglan. The album has received unanimous critical acclaim. Musical style ''Symbolic'' shows a continued shift in sound from Death's previous albums; the music became less focused on the traditional death metal template and more focused on increasing melodic aspects. ''Symbolic'' has been described as technical death metal and melodic death metal. Release ''Symbolic'' was released by Roadrunner Records on March 21, 1995. Reception ''Symbolic'' has received widespread critical acclaim and is regarded by many as being Death’s greatest album, and as being one of the greatest death metal albums of all time. In a ...
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Symbolic (Voodoo Glow Skulls Album)
''Symbolic'' is the Voodoo Glow Skulls' fifth full-length album. It was released on September 12, 2000 on Epitaph Records. This album marks the band’s last release on the label. Track 8 “El Mas Chingon” featuring a guitar solo by Reverend Horton Heat. Track 14 is a cover of the song "I Shot the Sheriff" from Eric Clapton Eric Patrick Clapton (born 1945) is an English rock and blues guitarist, singer, and songwriter. He is often regarded as one of the most successful and influential guitarists in rock music. Clapton ranked second in ''Rolling Stone''s list of .... The song "Say Goodnight" appears on punk compilation album '' Punk-O-Rama 6''. Track listing References Voodoo Glow Skulls albums 2000 albums Epitaph Records albums {{2000s-punk-album-stub ...
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Symbolic Anthropology
Symbolic anthropology or, more broadly, symbolic and interpretive anthropology, is the study of cultural symbols and how those symbols can be used to gain a better understanding of a particular society. According to Clifford Geertz, " lieving, with Max Weber, that man is an animal suspended in webs of significance he himself has spun, I take culture to be those webs, and the analysis of it to be therefore not an experimental science in search of law but an interpretive one in search of meaning". In theory, symbolic anthropology assumes that culture lies within the basis of the individuals’ interpretation of their surrounding environment, and that it does not in fact exist beyond the individuals themselves. Furthermore, the meaning assigned to people's behavior is molded by their culturally established symbols. Symbolic anthropology aims to thoroughly understand the way meanings are assigned by individuals to certain things, leading then to a cultural expression. There are two ma ...
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Symbolic Capital
In sociology and anthropology, symbolic capital can be referred to as the resources available to an individual on the basis of honor, prestige or recognition, and serves as value that one holds within a culture. A war hero, for example, may have symbolic capital in the context of running for political office. Theorists have argued that symbolic capital accumulates primarily from the fulfillment of social obligations that are themselves embedded with potential for prestige. Much as with the accumulation of financial capital, symbolic capital is 'rational' in that it can be freely converted into leveraging advantage within social and political spheres. Yet unlike financial capital, symbolic capital is not boundless, and its value may be limited or magnified by the historical context in which it was accumulated. Symbolic capital must be identified within the cultural and historical frame through which it originated in order to fully explain its influence across cultures.Bourdieu, P. ...
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Symbolic Interaction
Symbolic interactionism is a sociological theory that develops from practical considerations and alludes to particular effects of communication and interaction in people to make images and normal implications, for deduction and correspondence with others. According to Macionis, symbolic interactionism is "a framework for building theory that sees society as the product of everyday interactions of individuals". In other words, it is a frame of reference to better understand how individuals interact with one another to create symbolic worlds, and in return, how these worlds shape individual behaviors. It is a framework that helps understand how society is preserved and created through repeated interactions between individuals. The interpretation process that occurs between interactions helps create and recreate meaning. It is the shared understanding and interpretations of meaning that affect the interaction between individuals. Individuals act on the premise of a shared understan ...
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Symbolic System
In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules. The alphabet of a formal language consists of symbols, letters, or tokens that concatenate into strings of the language. Each string concatenated from symbols of this alphabet is called a word, and the words that belong to a particular formal language are sometimes called ''well-formed words'' or ''well-formed formulas''. A formal language is often defined by means of a formal grammar such as a regular grammar or context-free grammar, which consists of its formation rules. In computer science, formal languages are used among others as the basis for defining the grammar of programming languages and formalized versions of subsets of natural languages in which the words of the language represent concepts that are associated with particular meanings or semantics. In computational complexity ...
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