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concept and wavefunction
Newer interpretations of quantum mechanics have been formulated that do away with the concept of " wavefunction collapse " ( see, for example, the relative state interpretation ).
Another such quantum mechanical concept is the particle in a box where the number of nodes of the wavefunction can help determine the quantum energy state — zero nodes corresponds to the ground state, one node corresponds to the 1st excited state, etc.

concept and collapse
Some argue that the concept of the collapse of a " real " wave function was introduced by Heisenberg and later developed by John Von Neumann in 1932.
This historical concept portrays the Third Republic as a decadent state, forever on the verge of collapse.
The concept of people's war became less important with the collapse of the Soviet Union and the increasing possibility of conflict with the United States over Taiwan.
Implicit in the concept of the people's democratic dictatorship is the notion that dictatorial means are a necessary counterforce to recidivist social elements, and that without such a dictatorship, the government may collapse into a dictatorship of the bourgeoisie or other degenerate social form, faulting on the socialist state charter which is its first principle.
The concept of " Asian values " began to lose currency after the Asian financial crisis weakened the economies of many Asian countries, leading to the collapse of the Suharto regime in Indonesia.
Second, after the 1998 CFTC “ concept release ” controversy arose, Long-Term Capital Management ( LTCM ) became headline news with the near collapse of a hedge fund it managed.
John H. Sununu later indicated that the administration wanted to refrain from talking about the concept until Soviet collapse was more clear.
* Walter Baade and Fritz Zwicky invent the concept of the neutron star, a new type of celestial object, suggesting that supernovae might be created by the collapse of a normal star to form a neutron star.
After the collapse of the Soviet Union, Corporation grants helped promote the concept of cooperative security among erstwhile adversaries and projects to build democratic institutions in the former Soviet Union and central Europe.
* Dark Ages ( historiography ), the concept of a period of intellectual darkness and economic regression that supposedly occurred in Europe following the collapse of the Western Roman Empire
In the field of structural engineering, the concept of ‘ pier-redundant ’ bridges refers to a bridge superstructure which does not collapse when a single pier is removed.

concept and was
Jean Bodin, writing in the sixteenth century, may have been the seminal thinker, but it was the vastly influential John Austin who set out the main lines of the concept as now understood.
They recognized that slavery was a moral issue and not merely an economic interest, and that to recognize it explicitly in their Constitution would be in explosive contradiction to the concept of sovereignty they had set forth in the Declaration of 1776 that `` all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among them are life, liberty and the pursuit of happiness.
But though the Southern States, when drafting a constitution to unite themselves, narrowed the difference to this fine point by omitting to assert the right to secede, the fact remained that by seceding from the Union they had already acted on the concept that it was composed primarily of sovereign states.
What was perhaps more important than his concept of the nature of history and the historical method were those forces which shaped the direction of his thought.
There was only one way to accomplish this: by design, by drawing diagrams and sketches in which he probed the remotest corner of his mind for creative ideas to carry his concept.
what mattered was that a new concept of Americans was being born.
The concept of the Middle Kingdom at peace, strong and united under a forceful ruler, which had been only a longed-for ideal in the time of the Warring States, was finally realized by the establishment of a Chinese Empire under the Ch'in dynasty ( 221-207 B.C. ).
there was no Martian concept to match it -- unless one took `` church '' and `` worship '' and `` God '' and `` congregation '' and many other words and equated them to the totality of the only world he had known during growing-waiting then forced the concept back into English in that phrase which had been rejected ( by each differently ) by Jubal, by Mahmoud, by Digby.
He was closer to understanding it in English now, although it could never have the inevitability of the Martian concept it stood for.
`` I did not perceive this essential distinction either, First-Born '', Hesperus said at once, `` I was only practicing a concept that Jack taught me, called a deal ''.
This concept was emphasized by Sufi mystics like Rabia al-Adawiyya who paid attention to the difference between dedication to Allah ( i. e. God ) and dedication to people.
The zero was probably introduced to the Chinese in the Tang Dynasty ( 618-907 AD ) when travel in the Indian Ocean and the Middle East would have provided direct contact with India, allowing them to acquire the concept of zero and the decimal point from Indian merchants and mathematicians.
A third concept was proposed in 1923 by Gilbert N. Lewis which includes reactions with acid-base characteristics that do not involve a proton transfer.
The concept of an atom as an indivisible component of matter was first proposed by early Indian and Greek philosophers.
As it took many years for the name " The Ashes " to be given to the ongoing series between England and Australia, there was no concept of there being a representation of the ashes being presented to the winners.
Ford was the first company to build large factories around the assembly line concept.
The assembly line concept was independently redeveloped throughout history and not " invented " at one time by one person.
A peculiar feature of these Taoist thinkers, like the Seven Sages of the Bamboo Grove, was the concept of feng liu ( lit.
Rabbi Trugman states that in the last five centuries the concept of reincarnation, which until then had been a much hidden tradition within Judaism, was given open exposure.
The Arian concept of Christ is that the Son of God did not always exist, but was created byand is therefore distinct from — God the Father.
Woolfson, a songwriter and composer, was working as a session pianist ; he had also composed material for a concept album idea based on the work of Edgar Allan Poe.
A grant application to build a proof of concept prototype was submitted in March 1939 to the Agronomy department which was also interested in speeding up computation for economic and research analysis.

concept and introduced
The first Thirthankar, Rishabh introduced the concept of altruism for all living beings, from extending knowledge and experience to others to donation, giving oneself up for others, non-violence and compassion for all living things.
He introduced the concept of a uniform space in general topology, as a by-product of his collaboration with Nicolas Bourbaki ( of which he was a Founding Father ).
To store matte information, the concept of an alpha channel was introduced by Alvy Ray Smith in the late 1970s, and fully developed in a 1984 paper by Thomas Porter and Tom Duff.
The concept of playing solo steel-string guitar in a concert setting was introduced in the early 1960s by such performers as Davey Graham and John Fahey, who used country blues fingerpicking techniques to compose original compositions with structures somewhat like European classical music.
The article that introduced the concept of " alkaloid ".
At the North American International Auto Show in Detroit, Michigan in 2003, Aston Martin introduced the AMV8 Vantage concept car.
In 1906, Pierre Weiss introduced the concept of magnetic domains to explain the main properties of ferromagnets.
Rather than the traditional format established by Dungeons & Dragons, which often involved the characters wandering randomly through caves or tunnels and fighting different types of monsters, Sandy Petersen introduced the concept of the Onion Skin: Interlocking layers of information and nested clues that lead the Player Characters from seemingly minor investigations into a missing person to discovering mind-numbingly awful, global conspiracies to destroy the world.
When the Shang were overthrown by the Zhou, a new political, religious and philosophical concept was introduced called the " Mandate of Heaven ".
Higher-dimensional categories are part of the broader mathematical field of higher-dimensional algebra, a concept introduced by Ronald Brown.
For example, Georg Cantor ( who introduced this concept ) demonstrated that the real numbers cannot be put into one-to-one correspondence with the natural numbers ( non-negative integers ), and therefore that the set of real numbers has a greater cardinality than the set of natural numbers.
The term compact was introduced into mathematics by Maurice Fréchet in 1906 as a distillation of this concept.
The concept of context-sensitive grammar was introduced by Noam Chomsky in the 1950s as a way to describe the syntax of natural language where it is indeed often the case that a word may or may not be appropriate in a certain place depending upon the context.
" However, in the case of the so-called Nilo-Hamitic languages ( a concept he introduced ), it was based on the typological feature of gender and a " fallacious theory of language mixture.
The concept of Commonwealth citizenship was introduced in 1948 in the British Nationality Act 1948.
The Maastricht Treaty introduced the concept of citizenship of the European Union.
Students learn about fire chemistry, mitigation practices, hazardous materials identification, suppression options, and are introduced to the concept of size-up.
Systems like the Compatible Time-Sharing System introduced the concept of a file system, which managed several virtual " files " on one storage device, giving the term its present-day meaning.
The concept of using a pair of axes was introduced in later work by commentators who were trying to clarify the ideas contained in Descartes ' La Géométrie.
In order to carry out these studies, Hilbert introduced the concept of an infinite dimensional Euclidean space, later called Hilbert space.
This document, which was accepted by the Palestinian National Council ( PNC ) after lobbying by Fatah and DFLP, cautiously introduced the concept of a two-state solution in the PLO, and caused a split in the organization leading to the formation of the Rejectionist Front, where radical organizations such as the PFLP, PFLP-GC, Palestine Liberation Front and others gathered with the backing of Syria, Libya and Iraq to oppose Arafat and the mainstream PLO stance.
Edgar F. Codd, the inventor of the relational model, introduced the concept of normalization and what we now know as the First Normal Form ( 1NF ) in 1970.
An idea he introduced in one of these columns was the concept of " Reviews of This Book ", a book containing nothing but cross-referenced reviews of itself which has an online implementation.

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