* Dominated convergence theorem

# REDIRECT Dominated convergence theorem

Dominated by falling thirds in the bass line, the music three times pauses on a pedal and engages in speculative contrapuntal experimentation, in a manner foreshadowing the quotations from the first three movements of the Ninth Symphony in the opening of the fourth movement of that work.

Dominated by farmland in the heights area, and an ocean resort in the beach area until the mid-20th Century, Oakwood started suburbanization when a subway line was proposed between Brooklyn and Staten Island, and it underwent rapid suburbanization after the Verrazano-Narrows Bridge opened in November 1964.

Dominated by the vicious circle of the university promotion system, the analyst looks down on and gets along poorly with the other three groups, although he cannot deny his debt to the collector.

Dominated by favourites, offended by his homosexuality and openly favouring his select bodyguard, he lost the support of the legions.

Dominated by his wife's lover, Manuel de Godoy, Charles IV embarked on policies that overturned much of Charles III's reforms.

Dominated by Democratic-Republicans, the 15th Congress was generally expansionist and more likely to support the popular Jackson.

Dominated by high peaks and rain forests in the interior, the island is known for the twin peaks of Gros Piton and Petit Piton on the southwestern coast, its soft sandy beaches, and its magnificent natural harbors.

Dominated by Berry Gordy's Motown Records empire, Detroit soul is strongly rhythmic and influenced by gospel music.

Dominated by fundamentalist religious figures, it has tried to ban a candidate in the 2004 presidential election for questioning polygamy laws, and limited the rights of women, as well as overstepped its constitutional authority by issuing rulings on subjects not yet brought before the court.

Dominated by Islamic and tribal MPs, liberals have criticised the lower house for trying to impose a restrictive social agenda and curtailing freedoms.

Dominated by student and other popular demonstrations against the one-party government of the Communist Party of Czechoslovakia, it saw to the collapse of the party's control of the country, and the subsequent conversion from Czech socialism to parliamentary republic .< ref >

Dominated by the moderate liberals, there was no chance that a more militant mood would take over and the hundred or so radicals, who believed that an armed uprising was necessary if the old powers were to be defeated, lost interest and left the assembly to try and raise forces at a local level to bring about a ' real ' revolution.

* Cedar Hill-A middle-class, largely older residential area just south of Mount Douglas ( formerly Cedar Hill ), bounded by Quadra St., Cook St., North Dairy Rd., Shelbourne St., and McKenzie Ave. Dominated by the Cedar Hill Golf Course.

Dominated by the heights of Baby 700, the position was regularly shelled and was subsequently described by one Australian soldier, Trooper Ion Idriess, as " the most dangerous spot " in the Australian lodgement and it ultimately proved a " liability " for the troops tasked with holding it.

Dominated by British bands it was part of an attempt to elevate rock music to new levels of artistic credibility.

Dominated by Red Tories, this party was actually to the left of Campbell's government.

Dominated largely by Conservative ministers who served under Chamberlain's National Government between 1937 and 1939, the additions of Lord Hankey ( a former Cabinet Secretary from the First World War ) and Winston Churchill ( strong anti-appeaser ) seemed to give the Cabinet more balance.

Dominated by Mellotron, hand drums and acoustic guitars, the album also featured Doggen and McGrail plus new recruits Michael O ’ Sullivan and Ady " Acoustika " Fletcher.

Dominated by financial interests connected to England, the assembly never even considered a protest resolution against the Stamp Act.

Dominated by the giant Samson and Goliath cranes of the Harland and Wolff shipyard, the constituency is socially mixed.

For a certain class of Green functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the Arzelà – Ascoli theorem held in the sense of mean convergence — or convergence in what would later be dubbed a Hilbert space.

These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediate value theorem and the mean value theorem.

Important results include the Bolzano – Weierstrass and Heine – Borel theorems, the intermediate value theorem and mean value theorem, the fundamental theorem of calculus, and the monotone convergence theorem.

* It follows easily from the Weierstrass approximation theorem that the set Q of polynomials with rational coefficients is a countable dense subset of the space C () of continuous functions on the unit interval with the metric of uniform convergence.

In mathematics, specifically in real analysis, the Bolzano – Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result about convergence in a finite-dimensional Euclidean space R < sup > n </ sup >.

The classical central limit theorem describes the size and the distributional form of the stochastic fluctuations around the deterministic number µ during this convergence.

Note that the Bernstein-von Mises theorem asserts here the asymptotic convergence to the " true " distribution because the probability space corresponding to the discrete set of events is finite ( see above section on asymptotic behaviour of the posterior ).

Other forms of convergence are important in other useful theorems, including the central limit theorem.

In the general context of a G-valued series, a distinction is made between absolute and unconditional convergence, and the assertion that a real or complex series which is not absolutely convergent is necessarily conditionally convergent ( meaning not unconditionally convergent ) is then a theorem, not a definition.

In mathematics, the monotone convergence theorem is any of several theorems.

The dominated convergence theorem does not hold for the Stratonovich integral, consequently it is very difficult to prove results without re-expressing the integrals in Itō form.

Also, in the article he noted the difference between the absolute and conditional convergence of series and its impact in what was later called the Riemann series theorem.

Fatou's lemma can be used to prove the Fatou – Lebesgue theorem and Lebesgue's dominated convergence theorem.

The second proof is shorter but uses the monotone convergence theorem.

In measure theory, Lebesgue's dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions.

The convergence of these phenomena granted to Alpine tourism a central position.

Based on this data, Matras ( 2006 ) views Romani as " kind of Indian hybrid: a central Indic dialect that had undergone partial convergence with northern Indic languages.

For Manuel Castells, network logic is besides information, pervasiveness, flexibility, and convergence a central feature of the information technology paradigm ( 2000a: 69ff ).

Thus, the two main fords of the lower Bow River, Blackfoot Crossing and a ford near the Bow's convergence with the Elbow River ( central Calgary today ), became important gathering points for southern Alberta's First Nations to exchange goods and celebrate festivities.

It has a location on the central western of Venezuela ( 363 km from Caracas-225 miles -, the country's capital city ), being a point of convergence of many of the major land routes and rail, characterized also by its street order and appropriate signage due to the location of the city with a relief almost completely flat, which facilitated the distribution of the urban grid and with the streets numbered in ascending numerical order, factors that help the foreign citizen and easily locate addresses.

It follows from the central limit theorem that quadrupling the number of sample paths approximately halves the error in the simulated price ( i. e. the error has order convergence in the sense of standard deviation of the solution ).

The central mechanisms include the convergence of olfactory nerve axons into glomeruli in the olfactory bulb, where the signal is then transmitted to the anterior olfactory nucleus, the piriform cortex, the medial amygdala, and the entorhinal cortex, all of which make up the primary olfactory cortex.

Schematic showing the convergence of many elements in the composition at the central point

The Crank – Nicolson method is based on central difference in space, and the trapezoidal rule in time, giving second-order convergence in time.

The central concepts in the analysis of linear multistep methods, and indeed any numerical method for differential equations, are convergence, order, and stability.

It is formed by the convergence of the North Paluxy River and the South Paluxy River near Bluff Dale, Texas in Erath County and flows a distance of before joining the Brazos just to the east of Glen Rose, Texas in south central Somervell County.