According to the Copenhagen interpretation of quantum mechanics, quantum evolution is governed by the Schrödinger equation, which is time-symmetric, and by wave function collapse, which is time irreversible.

According to Bloch's theorem, the wavefunction solution of the Schrödinger equation when the potential is periodic, can be written as:

According to quantum mechanics, the energy levels of a system can be determined by solving the Schrödinger equation:

According to the theorem, once the spatial distribution of the electrons has been determined by solving the Schrödinger equation, all the forces in the system can be calculated using classical electrostatics.

According to a poll at a Quantum Mechanics workshop in 1997 ,< ref > the Copenhagen interpretation is the most widely-accepted specific interpretation of quantum mechanics, followed by the many-worlds interpretation.

According to the understanding of quantum mechanics known as the Copenhagen interpretation, measurement causes an instantaneous collapse of the wave function describing the quantum system into an eigenstate of the observable state that was measured.

According to the Copenhagen interpretation of quantum mechanics, the quantum state of the system collapses into state I.

According to the Copenhagen interpretation of quantum mechanics, their shared state is indefinite until measured.

According to a UN declaration that resulted from the World Summit on Social Development in Copenhagen in 1995, absolute poverty is " a condition characterised by severe deprivation of basic human needs, including food, safe drinking water, sanitation facilities, health, shelter, education and information.

According to its entry in the Geneva – Copenhagen survey, the star is around 3. 1 billion years old, and has a similar proportion of iron relative to hydrogen to the Sun.

According to Niels Lund, Lecturer in Medieval History at the University of Copenhagen, Canute's abortive invasion of England " marked the end of the Viking Age.

According to data in " Cities and Automobile Dependence " by Kenworthy and Laube ( 1999 ), urbanized area population losses occurred while there was an expansion of sprawl between 1970 and 1990 in Brussels, Belgium ; Copenhagen, Denmark ; Frankfurt, Hamburg, and Munich, Germany ; and Zurich, Switzerland, albeit without the wholesale dismantling of public transit systems that occurred in the United States.

According to a later account by Copenhagen anatomist Thomas Bartholinus, if someone pushed the breast of Joannes Baptista, he moved his hands, ears and lips.

According to the Danish chronicler Saxo Grammaticus, Bishop Absalon of Roskilde built a castle in 1167 on a small island outside Copenhagen Harbour.

According to the official site, Lazy B was commissioned to produce a piece for the Royal Danish Ballet to commence in Copenhagen in March 2007.

According to legend, the triptych is one of five altars donated to Norwegian churches by princess Isabella of Austria after being escorted by Erik Valkendorf, Archbishop of Norway, in terrible weather en route to her wedding in Copenhagen with the Danish king Christian II in 1515.

According to the official interpretation of the Charter, a member cannot be penalized by not having the right to vote in the General Assembly for nonpayment of financial obligations to the `` special '' United Nations' budgets, and of course cannot be expelled from the Organization ( which you suggested in your editorial ), due to the fact that there is no provision in the Charter for expulsion.

According to this interpretation, the name is from aphrós " foam " and déatai " seems " or " shines " ( infinitive form * déasthai ), meaning " she who shines from the foam ", a byname of the dawn goddess ( Eos ).

According to this interpretation, Agathon is mocked in the Thesmophoriazousae not only for his notorious effeminacy, but also for the pretentiousness of his dress: " he seems to think of himself, in all his elegant finery, as a rival to the old Ionian poets, perhaps even to Anacreon himself.

According to this interpretation of the scriptures, face-to-face combat is highly meritorious and fighters who die in battle go to heaven.

According to one premillennial Christian interpretation, the Messiah will return to earth and defeat the Antichrist ( the " beast ") and Satan the Devil in the Battle of Armageddon.

According to Kirsten Abbott, feminist interpretation regards the story of Hosea and his relations with his wife Gomer as a metaphor for the conflict between a Covenant Theology ( Israel violating the covenant relationship with YHWH ) and a Creation Theology ( YHWH will undo the fertility of the earth in response to Israel following other fertility gods ).

According to the interpretation, the act of measurement causes the set of probabilities to immediately and randomly assume only one of the possible values.

" According to this interpretation, events taking place on the internet are not happening in the locations where participants or servers are physically located, but " in cyberspace ".

According to the traditional Jewish interpretation of the Bible, Israel's character as the chosen people is unconditional, as it says in,

According to the standard interpretation of Hume on personal identity, he was a Bundle Theorist, who held that the self is nothing but a bundle of experiences (" perceptions ") linked by the relations of causation and resemblance ; or, more accurately, that the empirically warranted idea of the self is just the idea of such a bundle.

According to the relational interpretation of quantum mechanics, first proposed by Carlo Rovelli, observations such as those in the double-slit experiment result specifically from the interaction between the observer ( measuring device ) and the object being observed ( physically interacted with ), not any absolute property possessed by the object.

According to the general interpretation John was also that " other disciple " who with Peter followed Christ after the arrest into the palace of the high-priest ( John 18: 15 ). Saint John alone remained near his beloved Master at the foot of the Cross on Calvary with the Mother of Jesus and the pious women, and took the desolate Mother into his care as the last legacy of Christ ( John 19: 25-27 ).

According to Ellenblum's interpretation the inhabitants of the Kingdom ( Latin Christians living alongside native Greek and Syrian Christians, Shia and Sunni Arabs, Sufis, Bedouin, Turks, Druze, Jews, and Samaritans ) all had major differences between each other as well as with the crusaders.

According to the Zohar, a foundational text for kabbalistic thought, Torah study can proceed along four levels of interpretation ( exegesis ).

According to Weber's theses, social research cannot be fully inductive or descriptive, because understanding some phenomenon implies that the researcher must go beyond mere description and interpret it ; interpretation requires classification according to abstract " ideal ( pure ) types ".

According to the PaRDeS approaches to exegesis, interpretation of Biblical texts in Judaism is realized through peshat ( literal or plain meaning, lit.

According to the BHK interpretation, this proof itself is essentially the function F that is desired.

According to Snorri Sturluson's interpretation of the Völuspá, the three most important norns, Urðr ( Wyrd ), Verðandi and Skuld come out from a hall standing at the Well of Urðr ( well of fate ) and they draw water from the well and take sand that lies around it, which they pour over Yggdrasill so that its branches will not rot.

According to this interpretation, Aquinas's influence was such as to affect a number of early translations of these passages in an unfortunate manner, though more recent translations render them more literally.

According to Nichiren's interpretation of the teachings of the Lotus Sutra, persecutions which Nichiren Buddhists encountered should be perceived as a natural outcome of abiding by their beliefs, as predicted in various chapters of that Sutra: " There will be many ignorant people, who will curse and speak ill of us and will attack us with swords and staves, but we will endure all these things ”.

According to the Oxford English Dictionary, the translation of the French term into " human creature " implies that the label " Christian " is a reminder of the humanity of the afflicted, in contrast to brute beasts.

According to them, Sonnet 91 ( which compares the Fair Youth's love to such treasures as high birth, wealth, and horses ) implies that the author is in a position to make such comparisons, and the ' high birth ' he refers to is his own.

According to the organization, freedom of education notably implies the freedom for parents to choose a school for their children without discrimination on the basis of finances.

According to MacDonald, while it is possible to leave hell and enter heaven, doing so implies turning away ( repentance ); or as depicted by Lewis, embracing ultimate and unceasing joy itself.

According to Packer, propitiation and the wrath of God that propitiation implies is necessary to properly define God's love ; God could not be righteous and " His love would degenerate into sentimentality ( without Christ's atonement containing aspects of propitiation ). The wrath of God is as personal, and as potent, as his Love.

According to the relations, given above, this implies also small current and voltage variations.

According to this argument, the research around Dunbar's Number implies a limit on the number of inbound and outbound connections a human in a group-forming network can manage, so that the actual maximum-value structure is much sparser than the set-of-subsets measured by Reed's law or the complete graph measured by Metcalfe's Law.

According to the UNRISD, increasing labour productivity appears to have a negative impact on job creation: in the 1960s, a 1 % increase in output per worker was associated with a reduction in employment growth of 0. 07 %, by the first decade of this century the same productivity increase implies reduced employment growth by 0. 54 %.

According to Herodotus and Pausanias ( vi. 17. 6 ), on the authority of Hesiod, his father was Amythaon, whose name implies the " ineffable " or " unspeakably great "; Melampus and his heirs were thus Amythaides of the " House of Amythaon ".

According to mass-energy equivalence, Type I implies the conversion of about 2 kg of matter to energy per second.

According to this convention, when an index variable appears twice in a single term it implies summation of that term over all the values of the index.

According to Muscle Cars, a book written by Peter Henshaw, a " muscle car " is " exactly what the name implies.

According to Duquette and Hyatt, " this indicates ( or at least implies ) Dee's familiarity with the Lemegeton and his attempt, at least early in his workings, to incorporate it in the Enochian system ".

According to Professors Laura Castañeda and Shannon Campbell at the University of Southern California's Annenberg School of Journalism, " Using the term she-male for a transsexual woman would be considered highly offensive, for it implies that she is working ' in the ( sex ) trade.

According to the 2010 constitution, this implies automatically that José Eduardo dos Santos, who has headed the list of MPLA candidates, is confirmed as State President.

According to some interpretations, the Gospel of John ( e. g.,,, ) implies that Nisan 14 was the day that Jesus was crucified in Jerusalem.

According to Ellacuría, the existence of people that are marginalized from society implies that history and practice have not delivered a wider range of possibilities for realisation for every human being in the world.

According to the author of the Gesta, his land was inhabited by a nation called Cozar, but the Gesta also implies the presence of Székelys.

According to some interpretations, the Gospel of John ( e. g.,,, ) implies that Nisan 14 was the day that Jesus was executed in Jerusalem.

According to Oleh Havrylyshyn and Thomas Wolf of the International Monetary Fund, transition in a broad sense implies:

* According to the inverse function theorem, a smooth map f: M → N is a local diffeomorphism if and only if the derivative Df < sub > p </ sub >: T < sub > p </ sub > M → T < sub > f ( p )</ sub > N is a linear isomorphism for all points p in M. Note that this implies that M and N must have the same dimension.

According to Sterba, the liberty of the poor should be morally prioritized in light of the fundamental moral principle ‘ “ Ought ” implies “ Can ” ’ from which it follows that it would be unreasonable to ask the poor to relinquish their liberty not be interfered with, noting that “ in the extreme case it would involve asking or requiring the poor to sit back and starve to death ” and that “ by contrast it would not be unreasonable to ask and require the rich to sacrifice their liberty to meet some of their needs so that the poor can have the liberty to meet their basic needs .” Having argued that ‘ ” Ought ” implies “ Can ” ’ establishes the reasonability of asking the rich to sacrifice their luxuries for the basic needs of the poor, Sterba invokes a second fundamental principle, “ The Conflict Resolution Principle ” to argue that it is reasonable to make it a moral requirement.