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Page "Definable real number" ¶ 11
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notion and definability
An alternative notion of definability allows for a formula that does not tell whether particular numbers are in the set but tells whether the set itself satisfies some arithmetical property.

notion and treated
This is consistent with the notion that being treated fairly satisfies a basic need ".
Their studies introduced a sweeping change in the notion that drug addiction was not necessarily a simple character flaw, but rather a disorder to be treated in the same way as other diseases.
: CORBA's notion of location transparency has been criticized ; that is, that objects residing in the same address space and accessible with a simple function call are treated the same as objects residing elsewhere ( different processes on the same machine, or different machines ).
The notion that animals, including human beings, can be taught to react to selected stimuli in a desired way -- by ' brainwashing ' them -- is one that naturally appeals to tyrants and perhaps it was this, along with the favourable light his success was casting on Soviet Russia among western intellectuals, which accounted for the astonishing tolerance with which Pavlov was treated by the Soviet regime.
The Beruf unserer Zeit, in addition to the more specific object the treatise had in view, which has been already treated, expresses the idea, unfamiliar in 1814, that law is part and parcel of national life, and combats the notion, too much assumed by French jurists, especially in the 18th century, and countenanced in practice by Bentham, that law might be arbitrarily imposed on a country irrespective of its state of civilization and history.
Although the Literary Copyright Act 1842 did not contain a notion of " originality ", the decision in Walter v Lane would later be treated as authority for the notion of " originality " within English Copyright law.
For example, there was no notion of an angle greater than two right angles, the number 1 was sometimes treated separately from other positive integers, and as multiplication was treated geometrically he did not use the product of more than 3 different numbers.
As a secular, non-sectarian, universal notion of art arose in 19th century Western Europe, secular artists occasionally treated Christian themes ( Bouguereau, Manet ) — but only rarely was a Christian artist included in the historical canon ( such as Rouault or Stanley Spencer ).
* Equality of process is related to the general notion of fair treatment, and can be thought of as " dealing with inequalities in treatment through discrimination by other individuals and groups, or by institutions and systems, including not being treated with dignity and respect ," according to one definition.
The notion of a " one best way " failed to add the coda, " within the context of our current environment "; it treated the context as constant ( which it effectively was in a short-term sense ) rather than as variable ( which it always is in a long-term sense ).
Andrews rejects the classical notion of poetry as the ' direct treatment ' of things in language, arguing that the only thing that can be so treated is language itself.
The subsequent notion of automorphic representation has proved of great technical value for dealing with G an algebraic group, treated as an adelic algebraic group.
But conflation of these two different concepts leads to the notion that all ideological ideas, for example, should be treated with respect, rather than just the right to hold these ideas.
It introduced the notion of bid rent and treated the question of the amount of land consumed as a function of land rent.
Researchers and people with high-functioning autism have contributed to a shift in attitudes away from the notion that autism is a deviation from the norm that must be treated or cured, and towards the view that autism is a difference rather than a disability.
By the middle of the century, an attempt to be objective was made in poetry by the group of writers known as the Parnassians -- which included Leconte de Lisle, Théodore de Banville, Catulle Mendès, Sully-Prudhomme, François Coppée, José María de Heredia and ( early in his career ) Paul Verlaine -- who ( using Théophile Gautier's notion of art for art's sake and the pursuit of the beautiful ) strove for exact and faultless workmanship, and selected exotic and classical subjects which they treated with a rigidity of form and an emotional detachment ( elements of which echo the philosophical work of Arthur Schopenhauer whose aesthetic theories would also have an influence on the symbolists ).
Some treatments, particularly those applied to clarity, remain highly controversial within the industry — this arises from the traditional notion that diamond holds a unique or " sacred " place among the gemstones, and should not be treated too radically, if for no other reason than a fear of damaging consumer confidence.
Limerick asserts the notion of a " New Western History " in which the American West is treated as a place and not a process of finite expansion.
One could say that Boeke's notion of sociocracy was, in effect, a secular implementation of the Quaker ideals applied to education in such a way that children were treated as adults, and were on a first name basis with their teachers.
An attempt to be objective was made in poetry by the group of writers known as the Parnassians — which included Leconte de Lisle, Théodore de Banville, Catulle Mendès, Sully-Prudhomme, François Coppée, José María de Heredia and ( early in his career ) Paul Verlaine — who ( using Théophile Gautier's notion of art for art's sake and the pursuit of the beautiful ) strove for exact and faultless workmanship, and selected exotic and classical subjects which they treated with a rigidity of form and an emotional detachment ( elements of which echo the philosophical work of Arthur Schopenhauer whose aesthetic theories would also have an influence on the symbolists ).

notion and article
The remainder of this article discusses the measure-theoretic notion.
Green tells his mother that he's struck by the odd notion that the idea for the article came from " a girl " at the magazine.
In 2002, an article in the Washington Post said: " Plenty of people have had fun with the famous notion that an infinite number of monkeys with an infinite number of typewriters and an infinite amount of time could eventually write the works of Shakespeare.
This is generally justified because in most applications ( e. g. all examples in this article ) associativity holds, which makes this notion a generalization of the left / right inverse relative to an identity.
This article will examine the major philosophical techniques associated with the notion of analysis, as well as examine the controversies surrounding it.
This article treats the notion of ensembles in a mathematically rigorous fashion, although relevant physical aspects will be mentioned.
C. R. Sridhar, in his article in the Economic and Political Weekly, also challenges the broken windows policing and the notion introduced in the annotated by Kelling and Bratton — that aggressive policing, such as the “ zero tolerance ” police strategy adopted by William Bratton, the appointed commissioner of the New York Police Department — is the sole cause of the decrease of crime rates in New York City.
In 1982 Danny Rubinstein, in his book On the Lord's Side argued that this notion permeates the Gush Emunim movement's bulletins, citing one such article on ' The Right to Hate ' which affiremed :-
: For a different notion of boundary related to manifolds, see that article.
Dane, in an article characterized as " polemics without rigor " claimed that the appearance of the theme in Ancient Greek poetry, a tradition without known connection to the Germanic, invalidated the notion of " an autonomous theme in the baggage of an oral poet.
The document differed from Kennan's original notion of containment outlined in the " X " article, containing much harsher anti-Communist rhetoric.
An application of this principle is the notion of sub-distributivity as explained in the article on interval arithmetic.
A leading Florida property firm had branches in several English cities including Bradford ; in an article on Delius's time in Florida, William Randel conjectures that either Julius Delius visited the Bradford office and conceived the notion of sending his wayward son to grow oranges in Florida, or that Fritz himself saw it as a way to escape the hated family wool business and suggested the idea to his father.
The remainder of this article deals with this notion of Kleene algebra.
The same notion can also be defined on preordered sets or classes ; this article presents the common case of posets.
A much cited article asked " what is a document " and concluded this way: “ The evolving notion of ‘‘ document ’’ among Otlet, Briet, Schürmeyer, and the other documentalists increasingly emphasized whatever functioned as a document rather than traditional physical forms of documents.
This would not be counted as concrete according to the intuitive notion described at the top of this article.
When you live in an open society like London, where anyone with a grievance can publish an article, run for office or start a political movement, the notion that blowing up a busload of innocent civilians in response to Iraq is somehow " understandable " is outrageous.
A recent article by the Roman historian Suzanne Dixon argues against not only the Lesbia / Clodia identification but also the notion that ' Lesbia ' refers to a historical woman at all.
Meanwhile, in order to make the proof of the Riemann hypothesis for curves over finite fields that he had announced in 1940 work, he had to introduce the notion of an abstract variety and to rewrite the foundations of algebraic geometry to work with varieties without projective embeddings ( see also the history section in the Algebraic Geometry article ).
Because these definitions of saturation – in which very dark ( in both models ) or very light ( in HSL ) near-neutral colors, for instance or are considered fully saturated – conflict with the intuitive notion of color purity, often a conic or bi-conic solid is drawn instead (), with what this article calls chroma as its radial dimension, instead of saturation.
This article introduced the formal notion of the enemy of workers: those subject to articles 58-2 — 58-13 ( those under 58-1 were " traitors ", 58-14 were " saboteurs ").
There are other equivalent definitions of the notion of a separable algebraic extension, and these are outlined later in the article.
Unlike the " long telegram ", Kennan's well-timed article appearing in the July 1947 issue of Foreign Affairs under the pseudonym " X ," entitled " The Sources of Soviet Conduct ," did not begin by emphasizing " traditional and instinctive Russian sense of insecurity "; instead it asserted that Stalin's policy was shaped by a combination of Marxist – Leninist ideology, which advocated revolution to defeat the capitalist forces in the outside world and Stalin's determination to use the notion of " capitalist encirclement " as a fig leaf legitimizing his regimentation of Soviet society so that he could consolidate his political power.

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