M-theory would implement the notion that all of the different string theories are different special cases.

However, this notion is problematic for a standing wave ( for example, a wave on a string ), where energy is moving in both directions equally, or for electromagnetic ( e. g., light ) waves in a vacuum, where the concept of medium does not apply and interaction with a target is the key to wave detection and practical applications.

Therefore the notion of acceptance of a string by a probabilistic Turing machine can be defined in different ways.

Modern usages ( especially in the context of computer science with mathematical software such as model checkers, automated theorem provers, interactive theorem provers ) tend to retain of the notion of formula only the algebraic concept and to leave the question of well-formedness, i. e. of the concrete string representation of formulas ( using this or that symbol for connectives and quantifiers, using this or that parenthesizing convention, using Polish or infix notation, etc.

They also developed the notion of " local randomness ", noting that in any sufficiently long sequence of truly random digits there would be sets which would look exceedingly unrandom ( such as a string of many zeros together ).

Distributed Morphology makes a distinction between the notion of a morpheme, which refers to a syntactic terminal element, and that of a Vocabulary item, which is defined as a relation between a string of phonological information and the context in which this string may be inserted.

A braid that is also a string link is called a pure braid, and corresponds with the usual such notion.

This has led to string theory and its derivatives, and is probably related to the notion that, at bottom, there is only the energy that was released in the big bang, and really nothing else.

In Europe, the notion of human influence on climate gained wide acceptance more rapidly than in the United States and other countries.

One scholar counted thirty-one cases during this period in which courts found statutes unconstitutional, concluding: " The sheer number of these decisions not only belies the notion that the institution of judicial review was created by Chief Justice Marshall in Marbury, it also reflects widespread acceptance and application of the doctrine.

Fry insisted that Grace would not have started the 1948 season with any notion of being beaten by that season's Australian touring team, for " he was sanguine " and would have put everything he could muster into the task of beating them with no acceptance of defeat " till after it happened ".

The notion of rule over tropical lands commanded widespread acceptance among metropolitan populations: even among those who associated imperial colonization with oppression and exploitation.

Though doubts have been cast on the historiographic reconstructions of this school ( particularly the notion of oral traditions as a primary ancient source ), much of its critique of biblical historicity found wide acceptance.

The term has more recently begun to be particularly applied to New Zealand-born persons of predominantly European descent as a means of distinguishing themselves from more recent settlers and emphasising their temporal and spatial distinctiveness, but acceptance of this notion still remains far from universal.

This idea was in direct coincidence with the rising acceptance of the theological ideas of St. Thomas Aquinas, who postulated the notion of two worlds existing simultaneously: the divine world of faith and the earthly world of humans.

This clearly shows the appearance and acceptance of a notion of individual responsibility that is considered to exist toward all of humankind.

Through the process of transition from a traditional Confucian notion of civilization to a Western notion of acceptance and resistance, Koreans shaped their civilization as well as their notions of the racial, cultural, and individual modern self.

The notion of trust is increasingly adopted to predict acceptance of behaviors by others, institutions ( e. g. government agencies ) and objects such as machines.

In philosophy, epistemic theories of truth are attempts to analyze the notion of truth in terms of epistemic notions such as knowledge, belief, acceptance, verification, justification, and perspective.

However, this position eased over time, ultimately leading to an almost dogmatic Palestinian acceptance of the notion of a two-state solution which persisted until the rise of Hamas in the 2000s.

As used notably by Judge Edward Taihakurei Durie, the notion of tangata tiriti underlines partnership and acceptance.

Even if this notion were ever to gain complete acceptance by the scientific world, Jewish thought, unlike the reasoning of the high priest of that notion, would nonetheless never summon us to revere a still extant representative of this primal form as the supposed ancestor of us all.

But his energy was directed more toward preparation for possible U. S. entry into World War I, and he was very influential in winning early acceptance among civil officials of the notion of conscription.

There is a haunting resemblance between the notion of cause in Copernicus and in Freud.

Within this notion clarity is possible, but for us who are neither Greek nor Jansenist there is not such clarity.

Hence, the only defensible procedure is to repress any and every notion, unless it gives evidence that it is perfectly safe.

This is the principal point made in this final section of Englishman No. 57, and it caps Steele's efforts in his other writing of these months to counteract the notion of the Tories as a `` Church Party '' supported by the body of the clergy.

The notion of `` inspiration '' is somehow cognate to this feeling.

The Aristotelian notion of catharsis, the purging of emotion, is a persistent and viable one.

The idea here is one of discharge but this must stand in opposition to a second view, Plato's notion of the arousal of emotion.

This is given some expression in Beardsley's notion of harmony and the resolution of indecision.

And there is one other point in the Poetics that invites moral evaluation: Aristotle's notion that the distinctive function of tragedy is to purge one's emotions by arousing pity and fear.

I refer to the notion that the structure of society is a microcosm of the cosmic design and that history conforms to patterns of justice and chastisement as if it were a morality play set in motion by the gods for our instruction.

That notion is fantastically wrong-headed from several points of view.

The notion of philosophy as Queen Bee may fit well with authoritarian modes of political ideology, but it has been noted that the price of such an imperial notion of philosophy is the frustration and flagellation of the social sciences.

The threadbare notion that belief, unlike behaviour, is not subject to objective analysis, has placed intuitive metaphysics squarely against the sociology of knowledge, since it is precisely the job of the sociology of knowledge to treat beliefs as social facts no less viable than social behaviour.

These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.

It is a notion which contains a gratuitous insult, implying, as it does, that Negroes can make no move unless they are manipulated.

They would like to convey the notion something is being done, even though it is something they know to be ineffectual.

( Pp. 228-229 ) in any event, it is obvious that the anti-trust laws did not prevent the formation of some of the greatest financial empires the world has ever known, held together by some of the most fantastic ideas, all based on the fundamental notion that a corporation is an individual who can trade and exchange goods without control by the government ''.

Still, the notion of altruism is modified in such a world-view, since the belief is that such a practice promotes our own happiness: " The more we care for the happiness of others, the greater our own sense of well-being becomes " ( Dalai Lama ).