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Conjugation
Conjugation or conjugate may refer to: Linguistics *Grammatical conjugation, the modification of a verb from its basic form * Emotive conjugation or Russell's conjugation, the use of loaded language Mathematics *Complex conjugation, the change of sign of the imaginary part of a complex number *Conjugate (square roots), the change of sign of a square root in an expression *Conjugate element (field theory), a generalization of the preceding conjugations to roots of a polynomial of any degree * Conjugate transpose, the complex conjugate of the transpose of a matrix * Harmonic conjugate in complex analysis *Conjugate (graph theory), an alternative term for a line graph, i.e. a graph representing the edge adjacencies of another graph *In group theory, various notions are called conjugation: ** Inner automorphism, a type of conjugation homomorphism ** Conjugation in group theory, related to matrix similarity in linear algebra ** Conjugation (group theory), the image of an element und ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bacterial Conjugation
Bacterial conjugation is the transfer of genetic material between bacterial cells by direct cell-to-cell contact or by a bridge-like connection between two cells. This takes place through a pilus. It is a parasexual mode of reproduction in bacteria. It is a mechanism of horizontal gene transfer as are transformation and transduction although these two other mechanisms do not involve cell-to-cell contact. Classical ''E. coli'' bacterial conjugation is often regarded as the bacterial equivalent of sexual reproduction or mating since it involves the exchange of genetic material. However, it is not sexual reproduction, since no exchange of gamete occurs, and indeed no generation of a new organism: instead an existing organism is transformed. During classical ''E. coli'' conjugation the ''donor'' cell provides a conjugative or mobilizable genetic element that is most often a plasmid or transposon. Most conjugative plasmids have systems ensuring that the ''recipient'' cell does not al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grammatical Conjugation
In linguistics, conjugation () is the creation of derived forms of a verb from its principal parts by inflection (alteration of form according to rules of grammar). For instance, the verb ''break'' can be conjugated to form the words ''break'', ''breaks'', ''broke'', ''broken'' and ''breaking''. While English has a relatively simple conjugation, other languages such as French and Arabic are more complex, with each verb having dozens of conjugated forms. Some languages such as Georgian and Basque have highly complex conjugation systems with hundreds of possible conjugations for every verb. Verbs may inflect for grammatical categories such as person, number, gender, case, tense, aspect, mood, voice, possession, definiteness, politeness, causativity, clusivity, interrogatives, transitivity, valency, polarity, telicity, volition, mirativity, evidentiality, animacy, associativity, pluractionality, and reciprocity. Verbs may also be affected by agreement, polypersonal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Latin Conjugation
In terms of linguistics and grammar, conjugation has two basic meanings. One meaning is the creation of derived forms of a verb from basic forms, or principal parts. It may be affected by person, number, gender, tense, mood, aspect, voice, or other language-specific factors. The second meaning of the word conjugation is a group of verbs which all have the same pattern of inflections. Thus all those Latin verbs which have 1st singular -ō, 2nd singular -ās, and infinitive -āre are said to belong to the 1st conjugation, those with 1st singular -eō, 2nd singular -ēs and infinitive -ēre belong to the 2nd conjugation, and so on. The number of conjugations of regular verbs is usually said to be four. The word "conjugation" comes from the Latin , a calque of the Greek (''syzygia''), literally "yoking together (horses into a team)". For simple verb paradigms, see the Wiktionary appendix pages for first conjugation, second conjugation, third conjugation, and fourth conjugation. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conjugated System
In theoretical chemistry, a conjugated system is a system of connected p-orbitals with delocalized electrons in a molecule, which in general lowers the overall energy of the molecule and increases stability. It is conventionally represented as having alternating single and multiple bonds. Lone pairs, radicals or carbenium ions may be part of the system, which may be cyclic, acyclic, linear or mixed. The term "conjugated" was coined in 1899 by the German chemist Johannes Thiele. Conjugation is the overlap of one p-orbital with another across an adjacent σ bond (in transition metals, d-orbitals can be involved). A conjugated system has a region of overlapping p-orbitals, bridging the interjacent locations that simple diagrams illustrate as not having a π bond. They allow a delocalization of π electrons across all the adjacent aligned p-orbitals. The π electrons do not belong to a single bond or atom, but rather to a group of atoms. Molecules containing conjuga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French Conjugation
French conjugation refers to the variation in the endings of French verbs (inflections) depending on the person (I, you, we, etc), tense (present, future, etc) and mood (indicative, imperative and subjunctive). Most verbs are regular and can be entirely determined by their infinitive form (ex. parler) however irregular verbs require the knowledge of more than just the infinitive form known as the principal parts of which there are seven in French. With the knowledge of these seven principal parts of a verb one can conjugate almost all French verbs. However, a handful of verbs, including être, are highly irregular and the seven principal parts are not sufficient to conjugate the verb fully. French verbs are conventionally divided into three conjugations (''conjugaisons'') with the following grouping: * 1st group: verbs ending in ''-er'' (except ''aller'', ''envoyer'', and ''renvoyer''). * 2nd group: verbs ending in ''-ir'', with the gerund ending in ''-issant'' * 3rd group: verbs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Conjugation
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, (if a and b are real, then) the complex conjugate of a + bi is equal to a - bi. The complex conjugate of z is often denoted as \overline or z^*. In polar form, the conjugate of r e^ is r e^. This can be shown using Euler's formula. The product of a complex number and its conjugate is a real number: a^2 + b^2 (or r^2 in polar coordinates). If a root of a univariate polynomial with real coefficients is complex, then its complex conjugate is also a root. Notation The complex conjugate of a complex number z is written as \overline z or z^*. The first notation, a vinculum, avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of the complex conjugate. The second is preferred in physics, where dagger (†) is used for the conjugate t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conjugation (biochemistry)
Bioconjugation is a chemical strategy to form a stable covalent link between two molecules, at least one of which is a biomolecule. Function Recent advances in the understanding of biomolecules enabled their application to numerous fields like medicine and materials. Synthetically modified biomolecules can have diverse functionalities, such as tracking cellular events, revealing enzyme function, determining protein biodistribution, imaging specific biomarkers, and delivering drugs to targeted cells. Bioconjugation is a crucial strategy that links these modified biomolecules with different substrates. Synthesis Synthesis of bioconjugates involves a variety of challenges, ranging from the simple and nonspecific use of a fluorescent dye marker to the complex design of antibody drug conjugates. As a result, various bioconjugation reactions – chemical reactions connecting two biomolecules together – have been developed to chemically modify proteins. Common types of bioc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conjugate Element (field Theory)
In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element , over a field extension , are the roots of the minimal polynomial of over . Conjugate elements are commonly called conjugates in contexts where this is not ambiguous. Normally itself is included in the set of conjugates of . Equivalently, the conjugates of are the images of under the field automorphisms of that leave fixed the elements of . The equivalence of the two definitions is one of the starting points of Galois theory. The concept generalizes the complex conjugation, since the algebraic conjugates over \R of a complex number are the number itself and its ''complex conjugate''. Example The cube roots of the number one are: : \sqrt = \begin1 \\ pt-\frac+\fraci \\ pt-\frac-\fraci \end The latter two roots are conjugate elements in with minimal polynomial : \left(x+\frac\right)^2+\frac=x^2+x+1. Properties If ''K'' is given inside an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emotive Conjugation
In rhetoric, emotive or emotional conjugation (also known as Russell's conjugation) mimics the form of a grammatical conjugation of an irregular verb to illustrate humans' tendency to describe their own behavior more charitably than the behavior of others. Used seriously, such loaded language can lend false support to an argument by obscuring a fallacy of meaning. Examples It is often called ''Russell's conjugation'' in honour of philosopher Bertrand Russell, who expounded the concept in 1948 on the BBC Radio programme '' The Brains Trust'', citing the examples: I am firm, you are obstinate, he is a pig-headed fool. I am righteously indignant, you are annoyed, he is making a fuss over nothing. I have reconsidered the matter, you have changed your mind, he has gone back on his word. The inherent incongruity also lends itself to humor, as employed by Bernard Woolley in the BBC television series ''Yes, Minister'' and ''Yes, Prime Minister'': It's one of those irregular verb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Free Monoid
In abstract algebra, the free monoid on a set is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from that set, with string concatenation as the monoid operation and with the unique sequence of zero elements, often called the empty string and denoted by ε or λ, as the identity element. The free monoid on a set ''A'' is usually denoted ''A''∗. The free semigroup on ''A'' is the subsemigroup of ''A''∗ containing all elements except the empty string. It is usually denoted ''A''+./ref> More generally, an abstract monoid (or semigroup) ''S'' is described as free if it is isomorphic to the free monoid (or semigroup) on some set. As the name implies, free monoids and semigroups are those objects which satisfy the usual universal property defining free objects, in the respective categories of monoids and semigroups. It follows that every monoid (or semigroup) arises as a homomorphic image of a free monoid (or semigroup). The st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dutch Conjugation
This article explains the conjugation of Dutch verbs. Classification of verbs There are two different ways in which Dutch verbs can be grouped: by conjugational class and by derivation. These two categorizations describe different aspects of a verb's conjugation and therefore are complementary to each other. By conjugational class Dutch verbs can be grouped by their conjugational class, as follows: * Weak verbs: past tense and past participle formed with a dental suffix ** Weak verbs with past in ''-de'' ** Weak verbs with past in ''-te'' * Strong verbs: past tense formed by changing the vowel of the stem, past participle in ''-en'' ** Class 1: pattern ''ij-ee-ee'' ** Class 2: pattern ''ie-oo-oo'' or ''ui-oo-oo'' ** Class 3: pattern ''i-o-o'' or ''e-o-o'' ** Class 4: pattern ''ee-a/aa-oo'' ** Class 5: pattern ''ee-a/aa-ee'' or ''i-a/aa-ee'' ** Class 6: pattern ''aa-oe-aa'' ** Class 7: pattern ''X-ie-X'' (specifically, ''oo-ie-oo'', ''a-ie-a'', ''a-i-a'', ''ou-iel-ou'', ''aa-ie-a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conjugate Quantities
Conjugate variables are pairs of variables mathematically defined in such a way that they become Fourier transform duals, or more generally are related through Pontryagin duality. The duality relations lead naturally to an uncertainty relation—in physics called the Heisenberg uncertainty principle—between them. In mathematical terms, conjugate variables are part of a symplectic basis, and the uncertainty relation corresponds to the symplectic form. Also, conjugate variables are related by Noether's theorem, which states that if the laws of physics are invariant with respect to a change in one of the conjugate variables, then the other conjugate variable will not change with time (i.e. it will be conserved). Examples There are many types of conjugate variables, depending on the type of work a certain system is doing (or is being subjected to). Examples of canonically conjugate variables include the following: * Time and frequency: the longer a musical note is sustained, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
