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Page "Continuous function" ¶ 3
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form and definition
Institutions require structure, form, and definition, and these in turn entail differentiation and exclusion.
The Arrhenius definition can be summarised as " Arrhenius acids form hydrogen ions in aqueous solution with Arrhenius bases forming hydroxide ions.
The Shakespearean English form of the word ' brass ' can mean any bronze alloy, or copper, rather than the strict modern definition of brass.
An alternate form of ( 2 ) – the machine successively prints all n of the digits on its tape, halting after printing the n < sup > th </ sup > – emphasizes Minsky's observation: ( 3 ) That by use of a Turing machine, a finite definitionin the form of the machine's table – is being used to define what is a potentially-infinite string of decimal digits.
In his work, Meinhof looked at noun classes with all Bantu languages having at least 10 classes and with 22 classes of nouns existing throughout the Bantu languages, though his definition of noun class differs slightly from the accepted one, considering the plural form of a word as belonging to a different class from the singular form ( thus leading, for example, to consider a language like French as having four classes instead of two ).
Stevenson has identified persuasive definition as a form of stipulative definition which purports to describe the " true " or " commonly accepted " meaning of a term, while in reality stipulating an altered use, perhaps as an argument for some specific view.
One important form of the extensional definition is ostensive definition.
Aristotle had it that an object's essential attributes form its " essential nature ", and that a definition of the object must include these essential attributes.
Although this sort of definition involves a form of circularity, it is not vicious, and the definition has been quite successful.
Standard definition TV ( SDTV ), by comparison, may use one of several different formats taking the form of various aspect ratios depending on the technology used in the country of broadcast.
Provided the underlying scalars form a field ( more generally, a commutative ring with unity ), the definition below shows that such a function exists, and it can be shown to be unique.
Digital video was first introduced commercially in 1986 with the Sony D-1 format, which recorded an uncompressed standard definition component video signal in digital form instead of the high-band analog forms that had been commonplace until then.
Robbins describes the definition as not classificatory in " pick out certain kinds of behaviour " but rather analytical in " focus attention on a particular aspect of behaviour, the form imposed by the influence of scarcity.
Edward B. Tylor and Lewis H Morgan brought the term " evolution " to anthropology though they tended toward the older pre-Spencerian definition helping to form the concept of unilineal evolution used during the later part of what Trigger calls the Antiquarianism-Imperial Synthesis period ( c1770-c1900 ).
From his first composition to his last, he rejected the idea of musical development, in the strict definition of this term: the intertwining of different themes in a development section of a sonata form.
This is by definition a form of " anarchist equality " as referred to by Berkman.
The mathematical definition of an elementary function, or a function in elementary form, is considered in the context of differential algebra.
St. Anselm's ontological argument, in its most succinct form, is as follows: " God, by definition, is that for which no greater can be conceived.
It is noteworthy, however, that the positive definition of hacker was widely used as the predominant form for many years before the negative definition was popularized.

form and continuity
These realities form a " composite faithfulness " and are ( i ) " perseverance in the apostolic doctrine "; ( ii ) " the will to proclaim God's word "; ( iii ) " communion in the fundamental continuity of the Church, the Body of Christ, the faithful celebration of Baptism and the Eucharist "; ( iv ) " succession in the laying on of hands, the sign of ministerial continuity ".
The differential form of the continuity equation is:
As Gegenbaur argued, the task of comparative anatomy lies in explaining the form and organization of the animal body in order to provide evidence for the continuity and evolution of a series of organs in the body.
That is in itself evidence of a kind of discomfort with achievement measured in terms of identifiable entities, and an announcement that continuity of thinking in whatever form, around whatever subject, is the real ambition.
Data extracted from the results of one Web form submission can be taken and applied as input to another Web form thus establishing continuity across the Deep Web in a way not possible with traditional web crawlers.
For further continuity, the concept of multiple reincarnation of the first shabdrung — in the form of either his body, his speech, or his mind — was invoked by the Je Khenpo and the Druk Desi, both of whom wanted to retain the power they had accrued through the dual system of government.
The spatial continuity of the random variables is described by a model of spatial continuity that can be either a parametric function in the case of variogram-based geostatistics, or have a non-parametric form when using other methods such as multiple-point simulation or pseudo-genetic techniques.
In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.
That tradition has been multiple and discontinuous, yet the term has often been used to invoke a powerful effect of cultural identity and historical continuity —" the Greeks and the Elizabethans, in one cultural form ; Hellenes and Christians, in a common activity ," as Raymond Williams puts it.
As a " neo-classical form of modernism " which essentialized " poetic craft and cultural continuity ", the Guild of Poets placed Alexander Pope, Théophile Gautier, Rudyard Kipling, Innokentiy Annensky, and the Parnassian poets among their predecessors.
Trotskyists ' response to that situation has been in the form of its broad array of Trotskyist Internationals, almost all of whom are bitterly divided over which organisation represents the " true " Fourth Internationalist political continuity.
Conservation laws can be expressed using the general continuity equation ( for a conserved quantity ) can be written in differential form as:
( In post-Crisis on Infinite Earths continuity, the Eradicator, an artificial life form programmed to preserve all Kryptonian culture, altered the birthing matrices (" artificial wombs ") that the explorers took with them so that all newborns would be fatally vulnerable to lead and other materials such as greenhouse gases and certain rocks.
do not transcend them, but they retain a continuity of form that points
As with the Metamorphoses of Apuleius, classical scholars often describe it as a " Roman novel ", without necessarily implying continuity with the modern literary form.
Although the books theoretically form a series, actually there is little continuity between volumes.
Augustin-Louis Cauchy exploited infinitesimals in defining continuity and an early form of a Dirac delta function.
It captures, one might say, almost everything in the intuition of continuity, in a technically adequate form that can be applied in any area of mathematics.
The BRS would remain the programme of the CPGB until its dissolution in 1991 albeit in amended form and even today is the programme of the Communist Party of Britain which claims political continuity with the CPGB.
But the contradiction here is one we cannot eliminate by the method of relations, because it does not involve anything real ; and in fact as a necessary outcome of an intelligible form, the fiction of continuity is valid for the objective semblance.

form and was
Her form was silhouetted and with the strong light I could see the outlines of her body, a body that an artist or anyone else would have admired.
Twenty minutes later she was at the desk of the Grafin's pension, her tears dried, signing a hotel form and asking for a bath.
But her conscious need was to break away from constricting patterns of form, a need to let the experience shape itself.
It realized that to admit them was to jeopardize form.
I granted this might be so, but found the result to be even more attention to form than was the case previously.
Though sex in some form or other enters into all human activity and it was a good thing that Freud emphasized this aspect of human nature, it is fantastic to explain everything in terms of sex.
Each aspired to be a god in human form, but with each it was a different kind of god.
Anyone who tried to remedy some of the most glaring defects in our form of democracy was denounced as a traitorous red whose real purpose was the destruction of our government.
Neither was Henrietta hoydenish like Jo, who frankly wished she were a boy and had deliberately shortened her name, which, like Henrietta's, was the feminine form of a boy's name.
Olgivanna -- in her country the nickname was a respectful form of address -- was not only attractive but shrewd, durable, sensible, and smart.
this was the form in which their private feud most often appeared in the Tory press, especially the Examiner.
It may be thought unfortunate that he was called on entirely by accident to perform, if again we may trust the opening of the oratio, for it marks the beginning for us of his use of his peculiar form of witty word play that even in this Latin banter has in it the unmistakable element of viciousness and an almost sadistic delight in verbally tormenting an adversary.
Our comment was that this was `` featherbedding '' in its ultimate form and that sympathy for the railroad was misplaced since it had entered into such an agreement.
It was often re-enacted in less wild form at the Wednesday night prayer meeting.
The form was swathed in an army blanket, much patched, fastened at the neck with a cord.
But that year was different, for just as the city, in the form of my street clothes, had intruded upon my mountain nights, so an essential part of the summer gave promise of continuing into the fall: Jessica and I, about to be separated not by a mere footbridge or messhall kitchen but by the immense obstacle of residing in cruelly distant boroughs, had agreed to correspond.
that he was `` devoting an average of 100 hours a month to actual preaching publicly '', in addition to 50 to 75 hours in other ministerial duties, and that he opposed war in any form.
As soon as the time came for re-sharpening, the precise form of the gear tooth was lost and a new cutter had to be made.
Mold was used as pattern and clay cut by holding knife at about 45-degree angle, to form an undercut, making base smaller than the pattern top.
Together they also developed a new form of voltaic cell in which the wooden trough was replaced by one of copper, thereby producing stronger currents.

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