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Page "Homology (mathematics)" ¶ 31
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chain and complex
In the 1980s, there was a dramatic growth in research and applications of Bayesian methods, mostly attributed to the discovery of Markov chain Monte Carlo methods, which removed many of the computational problems, and an increasing interest in nonstandard, complex applications.
FADH < sub > 2 </ sub >, therefore, facilitates transfer of electrons to coenzyme Q, which is the final electron acceptor of the reaction catalyzed by the Succinate: ubiquinone oxidoreductase complex, also acting as an intermediate in the electron transport chain.
The degree of failure of the truth of the statement, measured by the homology of the chain complex
Upon receptor activation, the intracellular receptor domain activates the GTPase, which in turn activates other molecules of the signal transduction chain, either via the α unit or the βγ complex.
This concept of complex differentiability shares several properties with real differentiability: it is linear and obeys the product rule, quotient rule, and chain rule.
Because complex differentiation is linear and obeys the product, quotient, and chain rules, the sums, products and compositions of holomorphic functions are holomorphic, and the quotient of two holomorphic functions is holomorphic wherever the denominator is not zero.
An example is where a polymeric chain of the charge-transfer complex < sup > n +</ sup > exists in the compound.
After transcription has been terminated, the mRNA chain is cleaved through the action of an endonuclease complex associated with RNA polymerase.
Supply chain management managing complex and dynamic supply and demand networks.
This variability has significant effects on the supply chain infrastructure, from the foundation layers of establishing and managing the electronic communication between the trading partners to more complex requirements including the configuration of the processes and work flows that are essential to the management of the network itself.
The ability to quickly obtain and deploy this domain-specific supply chain expertise without developing and maintaining an entirely unique and complex competency in house is the leading reason why supply chain specialization is gaining popularity.
In eutactic macromolecules, substituents may occupy any specific ( but potentially complex ) sequence of positions along the chain.
According to this argument, the interaction of each part with its immediate surroundings causes a complex chain of processes that can lead to order in some form.
In the 1980s, there was a dramatic growth in research and applications of Bayesian methods, mostly attributed to the discovery of Markov chain Monte Carlo methods, which removed many of the computational problems, and an increasing interest in nonstandard, complex applications.
Unlike the latter, the genome of R. prowazekii, however, contains a complete set of genes encoding for the tricarboxylic acid cycle and the respiratory chain complex.
The difference is that complex carbohydrates take longer to digest and absorb since their sugar units must be separated from the chain before absorption.
The prison complex was sarcastically nicknamed the " Hanoi Hilton " by the American POWs, in reference to the well-known Hilton Hotel chain.
Cytochrome c which is reduced by the preceding component of the respiratory chain, ( cytochrome bc1 complex, complex III ) and docks near the Cu < sub > A </ sub > binuclear center, passing an electron to it and being oxidized back to cytochrome c containing Fe < sup > 3 +</ sup >.
The coenzyme Q: cytochrome c — oxidoreductase, sometimes called the cytochrome bc < sub > 1 </ sub > complex, and at other times complex III, is the third complex in the electron transport chain (), playing a critical role in biochemical generation of ATP ( oxidative phosphorylation ).
In mathematics, chain complex and cochain complex are constructs originally used in the field of algebraic topology.

chain and for
But if we closed the store for a vacation, we would lose our customers to the chain stores in the next block.
Furthermore, the exchange would not be expected to be sensitive to trace amounts of impurities because it would not be apt to be a chain reaction since the activation energy for abstraction of chlorine by a chlorine atom would be expected to be too high ; ;
Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.
Moreover, prudence alone would indicate that, unless the local customs are already ready to fall when pushed, the results of direct economic action everywhere upon national chain stores will likely be simply to give undue advantage to local and state stores which conform to these customs, leading to greater decentralization and local autonomy within the company, or even ( as the final self-defeat of an unjust application of economic pressure to correct injustice ) to its going out of business in certain sections of the country ( as, for that matter, the Quakers, who once had many meetings in the pre-Civil War South, largely went out of business in that part of the country over the slavery issue, never to recover a large number of southern adherents ).
Stickney is a salesman for Plee-Zing, Inc., 2544 Green Bay Rd., Evanston, a food brokerage and grocery chain firm, of which his father, William L. Jr., is president.
A funeral parlor chain was indicted for price-cutting.
This was not, for the Angel, just a matter of running through a logical or deductive chain, or deciding on some action from some already established premise.
Throughout her life, Agrippina always prized her descent from Augustus, upbraiding Tiberius for persecuting the blood of his predecessor ; Tacitus, in writing of the occasion, believed this behaviour to be part of the beginning of " the chain of events leading to Agrippina's end.
Nevertheless, he admits, humans and animals differ in mental faculties in a number of ways, including: differences in memory and attention, inferential abilities, ability to make deductions in a long chain, ability to grasp ideas more or less clearly, the human capacity to worry about conflating unrelated circumstances, a sagely prudence which arrests generalizations, a capacity for a greater inner library of analogies to reason with, an ability to detach oneself and scrap one's own biases, and an ability to converse through language ( and thus gain from the experience of others ' testimonies ).
However, often it is most advantageous for the player selecting to choose to let the more expensive chains remain on the board ( and trade in their stock of the less expensive chain at the 2-to-1 ratio described below ).
Mergers yield bonuses for the two shareholders who hold, respectively, the largest and second-largest interests in a chain.
Mergers also give each player who holds any interest at all in a chain a chance to sell his stock or to trade it in for shares of the acquiring chain.
If two players tie for minority, they will share the minority shareholder bonus. Suppose Festival is the chain being acquired.
Starting with the player who caused the merger to happen, each player may either sell his shares in the acquired chain, trade in two shares of the acquired chain for one share of the acquiring chain, or hold on to his shares of the acquired chain.
A player may trade in as many shares as he owns, but may not trade in one share of the acquired chain for half a share of the acquiring chain.
In 1964, the brothers Jos and Klaas Molenaar, former players for KFC and owners of a growing appliance store chain, sought to create a powerful football team in the Zaanstreek by merging the two local professional teams ( KFC and ZFC ).
* In analysis of Markov chain Monte Carlo data, autocorrelation must be taken into account for correct error determination.
The chain stays run parallel to the chain, connecting the bottom bracket to the rear dropout, where the axle for the rear wheel is held.

chain and X
For example, an " X " is used to indicate a variable group amongst a class of compounds ( though usually a halogen ), while " R " is used for a radical, meaning a compound structure such as a hydrocarbon chain.
The general configuration of a channel was to connect the devices in a chain, like this: Mainframe — Control Unit X — Control Unit Y — Control Unit Z.
The fragile X abnormality is now directly determined by analysis of the number of CGG repeats using polymerase chain reaction ( PCR ) and methylation status using Southern blot analysis.
A Markov chain is a sequence of random variables X < sub > 1 </ sub >, X < sub > 2 </ sub >, X < sub > 3 </ sub >, ... with the Markov property, namely that, given the present state, the future and past states are independent.
The possible values of X < sub > i </ sub > form a countable set S called the state space of the chain.
It is possible to construct a chain ( Y < sub > n </ sub >) from ( X < sub > n </ sub >) which has the ' classical ' Markov property by taking as state space the ordered m-tuples of X values, ie.
The construction begins with an object such as a topological space X, on which one first defines a chain complex C ( X ) encoding information about X.
The simplicial homology groups H < sub > n </ sub >( X ) of a simplicial complex X are defined using the simplicial chain complex C ( X ), with C ( X )< sub > n </ sub > the free abelian group generated by the n-simplices of X.
The homology groups of X therefore measure " how far " the chain complex associated to X is from being exact.
Sometimes, reduced homology groups of a chain complex C ( X ) are defined as homologies of the augmented complex
We define a chain complex for X by taking A < sub > n </ sub > to be the free abelian group ( or free module ) whose generators are all continuous maps from n-dimensional simplices into X.
By applying the functor F to this sequence, one obtains a chain complex ; the homology H < sub > n </ sub > of this complex depends only on F and X and is, by definition, the n-th derived functor of F, applied to X.

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