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Substitution
Substitution may refer to: Arts and media *Chord substitution, in music, swapping one chord for a related one within a chord progression * Substitution (poetry), a variation in poetic scansion * "Substitution" (song), a 2009 song by Silversun Pickups * Substitution (theatre), an acting methodology *Tritone substitution, in music, reinterpreting a chord via a new root note located an augmented fourth or diminished fifth distant from the root of the original interpretation Science and mathematics Biology and chemistry *Base-pair substitution or point mutation, a type of mutation *Substitution reaction, where a functional group in a chemical compound is replaced by another group *Substitution, a process in which an allele arises and undergoes fixation Mathematics and computing *Substitution (algebra), replacing occurrences of some symbol by a given value *Substitution (logic), a syntactic transformation on strings of symbols of a formal language *String substitution, a mapping of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution
Substitution may refer to: Arts and media *Chord substitution, in music, swapping one chord for a related one within a chord progression * Substitution (poetry), a variation in poetic scansion * "Substitution" (song), a 2009 song by Silversun Pickups * Substitution (theatre), an acting methodology *Tritone substitution, in music, reinterpreting a chord via a new root note located an augmented fourth or diminished fifth distant from the root of the original interpretation Science and mathematics Biology and chemistry *Base-pair substitution or point mutation, a type of mutation *Substitution reaction, where a functional group in a chemical compound is replaced by another group *Substitution, a process in which an allele arises and undergoes fixation Mathematics and computing *Substitution (algebra), replacing occurrences of some symbol by a given value *Substitution (logic), a syntactic transformation on strings of symbols of a formal language *String substitution, a mapping of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Penal Substitution
Penal substitution (sometimes, esp. in older writings, called forensic theory)D. Smith, The atonement in the light of history and the modern spirit' (London: Hodder and Stoughton), p. 96-7: 'THE FORENSIC THEORY...each successive period of history has produced its peculiar type of soteriological doctrine...the third period--the period ushered in by the Reformation.' Vincent Taylor, ''The Cross of Christ'' (London: Macmillan & Co, 1956), p. 71-2: '...the ''four main types'', which have persisted throughout the centuries. The oldest theory is the ''Ransom Theory''...It held sway for a thousand years. ..The ''Forensic Theory'' is that of the Reformers and their successors.' is a theory of the atonement within Christian theology, which declares that Christ, voluntarily submitting to God the Father's plan, was punished (penalized) in the place of sinners (substitution), thus satisfying the demands of justice so God can justly forgive sins making us at one with God (atonement). It began ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution (logic)
Substitution is a fundamental concept in logic. A substitution is a syntactic transformation on formal expressions. To apply a substitution to an expression means to consistently replace its variable, or placeholder, symbols by other expressions. The resulting expression is called a substitution instance, or instance for short, of the original expression. Propositional logic Definition Where ''ψ'' and ''φ'' represent formulas of propositional logic, ''ψ'' is a substitution instance of ''φ'' if and only if ''ψ'' may be obtained from ''φ'' by substituting formulas for symbols in ''φ'', replacing each occurrence of the same symbol by an occurrence of the same formula. For example: ::(R → S) & (T → S) is a substitution instance of: ::P & Q and ::(A ↔ A) ↔ (A ↔ A) is a substitution instance of: ::(A ↔ A) In some deduction systems for propositional logic, a new expression (a proposition) may be entered on a line of a derivation if it is a substitution instanc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution Cipher
In cryptography, a substitution cipher is a method of encrypting in which units of plaintext are replaced with the ciphertext, in a defined manner, with the help of a key; the "units" may be single letters (the most common), pairs of letters, triplets of letters, mixtures of the above, and so forth. The receiver deciphers the text by performing the inverse substitution process to extract the original message. Substitution ciphers can be compared with transposition ciphers. In a transposition cipher, the units of the plaintext are rearranged in a different and usually quite complex order, but the units themselves are left unchanged. By contrast, in a substitution cipher, the units of the plaintext are retained in the same sequence in the ciphertext, but the units themselves are altered. There are a number of different types of substitution cipher. If the cipher operates on single letters, it is termed a simple substitution cipher; a cipher that operates on larger groups of letters ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution (song)
"Substitution" is a song by American indie rock band Silversun Pickups. It is the second single from the band's second studio album ''Swoon'' (2009). The song was released to American modern rock radio on September 15, 2009. "Substitution" reached numbers 17 and 26 on ''Billboard''s Alternative Songs and Rock Songs Hot Rock & Alternative Songs (formerly known as Rock Songs and Hot Rock Songs) is a record chart published by ''Billboard'' magazine. From its debut on June 20, 2009, through October 13, 2012, the chart ranked the airplay of songs across alternati ... charts, respectively. Music video The music video for "Substitution" was directed by The Malloys and premiered on September 15, 2009. It features models playing a game of musical chairs as the band performs the song. In an interview prior to the video's release, the band's frontman Brian Aubert claimed: "They were actually playing musical chairs for a real prize. It got pretty ugly. Everybody in the room watching it w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integration By Substitution
In calculus, integration by substitution, also known as ''u''-substitution, reverse chain rule or change of variables, is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards". Substitution for a single variable Introduction Before stating the result rigorously, consider a simple case using indefinite integrals. Compute \textstyle\int(2x^3+1)^7(x^2)\,dx. Set u=2x^3+1. This means \textstyle\frac=6x^2, or in differential form, du=6x^2\,dx. Now :\int(2x^3 +1)^7(x^2)\,dx = \frac\int\underbrace_\underbrace_=\frac\int u^\,du=\frac\left(\fracu^\right)+C=\frac(2x^3+1)^+C, where C is an arbitrary constant of integration. This procedure is frequently used, but not all integrals are of a form that permits its use. In any event, the result should be verified by differentiating and comparing to the original integrand. :\frac\left frac(2x^3+1)^+C\right\f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution Reaction
A substitution reaction (also known as single displacement reaction or single substitution reaction) is a chemical reaction during which one functional group in a chemical compound is replaced by another functional group. Substitution reactions are of prime importance in organic chemistry. Substitution reactions in organic chemistry are classified either as electrophilic or nucleophilic depending upon the reagent involved, whether a reactive intermediate involved in the reaction is a carbocation, a carbanion or a free radical, and whether the substrate is aliphatic or aromatic. Detailed understanding of a reaction type helps to predict the product outcome in a reaction. It also is helpful for optimizing a reaction with regard to variables such as temperature and choice of solvent. A good example of a substitution reaction is halogenation. When chlorine gas (Cl2) is irradiated, some of the molecules are split into two chlorine radicals (Cl•), whose free electrons are strongly n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution (law)
In legal terms, the right of substitution is a statutory right of all parties except the state. It is the right to change the presiding court official with or without cause. Judges are usually given cases randomly within a jurisdiction (unless there is only one judge in a jurisdiction, in which case they receive all cases). The right of substitution does not give a litigant the right to choose a judge, just the random selection of another judge in the jurisdiction. If the right is exercised in a jurisdiction with one judge usually a judge from a neighboring jurisdiction will take the case, although on occasion a Reserve Judge or Commissioner may be used. Right of substitution with cause The right of substitution, where applicable, may be exercised by criminal and juvenile defendants and all parties in a civil action. Substitution for cause can be for any bias a judge may have in the case, such as an association with a party (family, friendship or even stock ownership), hav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Import Substitution Industrialization
Import substitution industrialization (ISI) is a trade and economic policy that advocates replacing foreign imports with domestic production.''A Comprehensive Dictionary of Economics'' p.88, ed. Nelson Brian 2009. It is based on the premise that a country should attempt to reduce its foreign dependency through the local production of industrialized products. The term primarily refers to 20th-century development economics policies, but it has been advocated since the 18th century by economists such as Friedrich ListMehmet, Ozay (1999). ''Westernizing the Third World: The Eurocentricity of Economic Development.'' London: Routledge. and Alexander Hamilton.Chang, Ha-Joon (2002). ''Kicking Away the Ladder: Development Strategy in Historical Perspective.'' London: Anthem Press. ISI policies have been enacted by developing countries with the intention of producing development and self-sufficiency by the creation of an internal market. The state leads economic development by nationalizat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simultaneous Substitution
Simultaneous substitution (also known as simsubbing or signal substitution) is a practice mandated by the Canadian Radio-television and Telecommunications Commission (CRTC) requiring broadcast distribution undertakings (BDUs) in Canada to distribute the signal of a local or regional over-the-air station in place of the signal of a foreign or non-local television station (typically one that is affiliated with a U.S. commercial television network such as ABC, CBS, NBC, and Fox), when the two stations are broadcasting identical programming simultaneously. The CRTC first introduced the policy in 1972, and it is sometimes erroneously called "simulcasting", the name of a practice different from simultaneous substitution in that there is no signal replacement. According to the CRTC, the practice of simultaneous substitution is necessary "to protect the rights of broadcasters, to enable television stations to draw enough advertising revenue and to keep advertising money in the Canadia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substitution (algebra)
In algebra, the operation of substitution can be applied in various contexts involving formal objects containing symbols (often called variables or indeterminates); the operation consists of systematically replacing occurrences of some symbol by a given value. Substitution is a basic operation of computer algebra. It is generally called "subs" or "subst" in computer algebra systems. A common case of substitution involves polynomials, where substitution of a numerical value for the indeterminate of a (univariate) polynomial amounts to evaluating the polynomial at that value. Indeed, this operation occurs so frequently that the notation for polynomials is often adapted to it; instead of designating a polynomial by a name like ''P'', as one would do for other mathematical objects, one could define :P(X)=X^5-3X^2+5X-17 so that substitution for ''X'' can be designated by replacement inside "''P''(''X'')", say :P(2) = 13 or :P(X+1) = X^5 + 5X^4 + 10X^3 + 7X^2 + 4X - 14. Substitution c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Attribute Substitution
Attribute substitution is a psychological process thought to underlie a number of cognitive biases and perceptual illusions. It occurs when an individual has to make a judgment (of a ''target attribute'') that is computationally complex, and instead substitutes a more easily calculated ''heuristic attribute''. This substitution is thought of as taking place in the automatic ''intuitive'' judgment system, rather than the more self-aware ''reflective'' system. Hence, when someone tries to answer a difficult question, they may actually answer a related but different question, without realizing that a substitution has taken place. This explains why individuals can be unaware of their own biases, and why biases persist even when the subject is made aware of them. It also explains why human judgments often fail to show regression toward the mean. The theory of attribute substitution unifies a number of separate explanations of reasoning errors in terms of cognitive heuristics. In turn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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