The Absolute Infinite is mathematician Georg Cantor's concept of an " infinity " that transcended the transfinite numbers.

Transfinite recursion is a method of constructing or defining something and is closely related to the concept of transfinite induction.

However, since the 19th century, mathematicians have studied transfinite numbers, numbers which are not only greater than any finite number, but also, from the viewpoint of set theory, larger than the traditional concept of infinity.

The concept of transfinite numbers, however, was first considered by Indian Jaina mathematicians as far back as 400 BC.

A related concept is that of a perfect number, which is a number which equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1.

A slightly earlier, surprisingly reliable version of the same concept was to bundle a sequence of audio digital " signal " and " no signal " information ( i. e. " sound " and " silence ") on magnetic cassette tape for use with early home computers.

" Discoveries at Mehrgarh changed the entire concept of the Indus civilization ," according to Ahmad Hasan Dani, professor emeritus of archaeology at Quaid-e-Azam University, Islamabad, " There we have the whole sequence, right from the beginning of settled village life.

The purpose of the concept of a net, first introduced by E. H. Moore and H. L. Smith in 1922, is to generalize the notion of a sequence so as to confirm the equivalence of the conditions ( with " sequence " being replaced by " net " in condition 2 ).

His concept detailed a system that would record a sequence of keyboard strokes onto paper tape.

The concept of exact sequence arises naturally in this setting, and it turns out that exact functors, i. e. the functors preserving exact sequences in various senses, are the relevant functors between Abelian categories.

The concept of a random sequence is essential in probability theory and statistics.

The concept generally relies on the notion of a sequence of random variables and many statistical discussions begin with the words " let X < sub > 1 </ sub >,..., X < sub > n </ sub > be independent random variables ...".

Using the concept of the impossibility of a gambling system, von Mises defined an infinite sequence of zeros and ones as random if it is not biased by having the frequency stability property i. e. the frequency of zeros goes to 1 / 2 and every sub-sequence we can select from it by a " proper " method of selection is also not biased.

He also introduced the concept of the Cauchy sequence, and started the formal theory of complex analysis.

A similar concept was used in the opening sequence of The Barkleys of Broadway ( 1949 ).

However, in the generic programming approach, each data structure returns a model of an iterator concept ( a simple value type which can be dereferenced to retrieve the current value, or changed to point to another value in the sequence ) and each algorithm is instead written generically with arguments of such iterators, e. g. a pair of iterators pointing to the beginning and end of the subsequence to process.

An exact sequence is a concept in mathematics, especially in ring and module theory, homological algebra, as well as in differential geometry and group theory.

* Venus-next in the sequence of mounts, represents the actual physical manifestation of the “ concept ” which was initiated in Luna.

During the early planning stages for Richard II and 1 Henry IV however, the plan for linked casting fell apart when it was discovered that although Jon Finch ( Henry Bolingbroke in Richard II ) could return as Henry IV, Jeremy Bulloch as Hotspur and David Swift as the Earl of Northumberland were unable to do so, and the parts had to be recast, thus undermining the concept of shooting the plays as one sequence.

The casual " in-the-round " sequence in Elvis Presley's 1968 Comeback Special, and The Beatles informal studio jams documented in the 1970 film Let It Be were both precursors of the " Unplugged " concept, though they were neither conceived nor promoted as such at the time they occurred.

An instance of a list is a computer representation of the mathematical concept of a finite sequence.

Unix eliminated this complexity with the concept of a data stream: an ordered sequence of data bytes which can be read until the end of file.

A concept of responsibility is in process of articulation and establishment.

National responsibility for individual welfare is a concept not limited to the United States or even to the Western nations.

Recognizing that the Rule of Law is `` a dynamic concept which should be employed not only to safeguard the civil and political rights of the individual in a free society '', the Congress asserted that it also included the responsibility `` to establish social, economic, educational and cultural conditions under which his legitimate aspirations and dignity may be realized ''.

Whether a concept analogous to the principle of internal responsibility operates in a nation's external relations is less obvious and more difficult to establish.

) The concept of nationalism is the political principle that epitomizes and glorifies the territorial state as the characteristic type of socal structure.

Historically, however, the concept is one that has been of marked benefit to the people of the Western civilizational group.

But it is more than irony: one of the main reasons why nationalism is no longer a tenable concept is because it has spread throughout the planet.

It is interesting, however, that despite this strong upsurge in Southern writing, almost none of the writers has forsaken the firmly entrenched concept of the white-suited big-daddy colonel sipping a mint julep as he silently recounts the revenue from the season's cotton and tobacco crops ; ;

A broader concept of imitation is needed, one which acknowledges that true invention is important, that the artist's creativity in part transcends the non-artistic causal factors out of which it arises.

Who will deny that in a vast portion of the South the Federal action is incompatible with the Jeffersonian concept of `` the consent of the governed ''??

For it is their catastrophic concept of the Anglo-Saxon invasions rather than Kemble's gradualist approach which dominates the field.

But beginning, for all practical purposes, with Frederick Seebohm's English Village Community scholars have had to reckon with a theory involving institutional and agrarian continuity between Roman and Anglo-Saxon times which is completely at odds with the reigning concept of the Anglo-Saxon invasions.

It is ironic that Washington is having to struggle so for a concept that for six years it bypassed as unreasonable.

The concept of labor as a special class is outmoded, and in the task confronting America as bastion of the free world, labor must learn to put the national interest first if it is itself to survive.

The most fundamental concept of the new approach to economic aid is the focusing of our attention, our resources, and our energies on the effort to promote the economic and social development of the less developed countries.

While it is easy enough to ridicule Hawkins' pronouncement in Pleas Of The Crown from a metaphysical point of view, the concept of the `` oneness '' of a married couple may reflect an abiding belief that the communion between husband and wife is such that their actions are not always to be regarded by the criminal law as if there were no marriage.

That we had the wit and wisdom to adopt Mr. Lowell's concept and make it the base for our processes of selection is one reason why our selections have been, it may be said truly, pretty uniformly good.

It is this sort of experience that makes the concept of high fidelity of real musical significance for the home music listener.

The concept of trans-illumination ( as shown by the photo on p. 92 ), as just one example, offers an entirely new approach to lighting problems -- no matter what industry is involved.