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An example of convergence theory states that there is no homogeneous activity within a repetitive practice, sometimes observed when an immigrant population becomes common in a previously homogeneous area, and members of the existing community ( apparently spontaneously ) band together to threaten those trying to move into their neighborhoods.
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example and convergence
An example of convergence from the other direction is shown in Srl CILFIT and Lanificio di Gavardo SpA v Ministry of Health ( Corte suprema di Cassazione, Italy, 1982 ), in which Italy's Supreme Court held that questions it has already answered need not be resubmitted.
For example, the theory of evolution is supported by a convergence of evidence from genetics, molecular biology, paleontology, geology, biogeography, comparative anatomy, comparative physiology, and many others.
Consider, for example, the difference between strong and weak convergence of functions in the Hilbert space L < sup > 2 </ sup >( R < sup > n </ sup >).
For example, the strong operator topology on L ( X, Y ) is the topology of pointwise convergence.
If we studied this as a power series, its properties would include, for example, that its radius of convergence is 1.
As a consequence, for convergence of a sequence of elements of it then suffices that the coefficient of each power of Y converges to a formal power series in X, a weaker condition that stabilizing entirely ; for instance in the second example given here the coefficient of Y converges to, so the whole summation converges to.
They are an example of telecommunication convergence.
For example, in the 1980s and 1990s, some researchers proposed ( based primarily on the similarity of the visual pathways ) that the Megachiroptera were in fact more closely affiliated with the primates than the Microchiroptera, with the two groups of bats having therefore evolved flight via convergence ( see Flying primates theory ).
The radius of convergence of this series is ( this example refers to the principal branch of the Lambert function ).
An example is the San Bernardino Mountains north of Los Angeles, which result from convergence along a curve in the San Andreas fault system.
With certain assumptions on the function ( for example, convex and Lipschitz ) and particular choices of ( e. g., chosen via a line search that satisfies the Wolfe conditions ), convergence to a local minimum can be guaranteed.
Modern VSAT systems are a prime example of convergence, and hence require skills from both the RF and IP domains.
* ( 1999 ): Data set incongruence and correlated character evolution: An example of functional convergence in the hind-limbs of stifftail diving ducks.
Taking place near Königgrätz ( Hradec Králové ) and Sadowa ( Sadová ) in Bohemia on 3 July 1866, it was an example of battlefield concentration, a convergence of multiple units at the same location to trap and / or destroy an enemy force between them.
Despite this convergence, there were distinctions between the liturgies of different parts of the Iberian peninsula: for example the Lisbon and Catalonian rites were somewhat different from the Castilian rite, which formed the basis of the later Sephardic tradition.
& Afton, Alan D. ( 1999 ): Data set incongruence and correlated character evolution: An example of functional convergence in the hind-limbs of stifftail diving ducks.
In many ways p-adic analysis is less subtle than classical analysis, since the ultrametric inequality means, for example, that convergence of infinite series of p-adic numbers is much simpler.
As another example, in order to accelerate the convergence rate of evolutionary algorithms, fitness approximation — that leads to build model of the fitness function to choose smart search steps — is a good solution.
The case when the radius of convergence is 0 yields many interesting series in mathematics, for example the incomplete gamma function has the asymptotic expansion
* Johann Peter Gustav Lejeune Dirichlet publishes a memoir giving the Dirichlet conditions, showing for which functions the convergence of the Fourier series holds ; introducing Dirichlet's test for the convergence of series ; the Dirichlet function as an example that not any function is integrable ; and, in the proof of the theorem for the Fourier series, the Dirichlet kernel and Dirichlet integral.
& Afton, Alan D. ( 1999 ): Data set incongruence and correlated character evolution: An example of functional convergence in the hind-limbs of stifftail diving ducks.
This is an example of one type of telecommunication convergence.
For example, the first problem in the list, on the convergence of the Fourier series for a square-integrable function, was solved by Lennart Carleson in 1966.
example and theory
For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.
For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.
This is an example of renormalization in quantum field theory — the field theory being necessary because the number of particles changes from one to two and back again.
His influence spilled over into many other branches of mathematics, for example the contemporary theory of D-modules.
In three papers which were published in 1952 – 53, Bohr and Mottelson demonstrated close agreement between theory and experiment ; for example, showing that the energy levels of certain nuclei could be described by a rotation spectrum.
According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.
For example, bundle theory regards an apple as red, four inches ( 100 mm ) wide, and juicy but lacking an underlying substance.
The informal content of this naive set theory supports both the aspects of mathematical sets familiar in discrete mathematics ( for example Venn diagrams and symbolic reasoning about their Boolean algebra ), and the everyday usage of set theory concepts in most contemporary mathematics.
Five binary tree s on three Vertex ( graph theory ) | vertices, an example of Catalan number s.
Paracelsus ( 1493 – 1541 ), for example, rejected the 4-elemental theory, and with only a vague understanding of his chemicals and medicines formed a hybrid of alchemy and science in what was to be called iatrochemistry.
For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.
For example, programming language theory considers various approaches to the description of computation, whilst the study of computer programming itself investigates various aspects of the use of programming language and complex systems.
Noam Chomsky, linguist and scholar, contrasts conspiracy theory as more or less the opposite of institutional analysis, which focuses mostly on the public, long-term behaviour of publicly known institutions, as recorded in, for example, scholarly documents or mainstream media reports, rather than secretive coalitions of individuals.
For example, certain activities of the House Un-American Activities Committee may be considered to have been an official attempt to promote a conspiracy theory, yet its claims are seldom referred to as such.
Historically, hedonistic utilitarianism is the paradigmatic example of a consequentialist moral theory.
An alternative theory ( using the example of negative utilitarianism ) is that some consider the reduction of suffering ( for the disadvantaged ) to be more valuable than increased pleasure ( for the affluent or luxurious ).
Another application of category theory, more specifically: topos theory, has been made in mathematical music theory, see for example the book The Topos of Music, Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola.
For example, the Riemann hypothesis is a conjecture from number theory that ( amongst other things ) makes predictions about the distribution of prime numbers.
Many active and historical figures made significant contribution to control theory, including, for example:
His theory allows one to understand the difference between coordinated and ionic in a compound, for example chloride in the cobalt ammine chlorides and to explain many of the previously inexplicable isomers.
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