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According and quantum
According to Professor Gilles Brassard, an expert in quantum computing: " The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption.
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 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 quantum mechanics, under some conditions
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 quantum mechanics, we can arrange our source so that each emitted pair occupies a quantum state called a spin singlet.
According to the Copenhagen interpretation of quantum mechanics, the quantum state of the system collapses into state I.
According to the present view of the situation, quantum mechanics flatly contradicts Einstein's philosophical postulate that any acceptable physical theory must fulfill " local realism ".
According to the usual rules of quantum mechanics, the actual state of the electron may be any superposition of these states.
According to quantum theory, the particles do not possess definite positions during the periods between measurements.
According to the spin-statistics theorem, particles with integer spin occupy symmetric quantum states, and particles with half-integer spin occupy antisymmetric states ; furthermore, only integer or half-integer values of spin are allowed by the principles of quantum mechanics.
According to the correspondence principle between classical and quantum mechanics, all objects obey the laws of quantum mechanics, and classical mechanics is just an approximation for large systems of objects ( or a statistical quantum mechanics of a large collection of particles ).
According to this interpretation, the probabilistic nature of quantum mechanics is not a temporary feature which will eventually be replaced by a deterministic theory, but instead must be considered a final renunciation of the classical idea of " causality ".
According to the rules of quantum field theory, and the associated Feynman diagrams, the above theory gives rise to three basic interactions: a quark may emit ( or absorb ) a gluon, a gluon may emit ( or absorb ) a gluon, and two gluons may directly interact.
According to the Pauli exclusion principle, fermions cannot share quantum states, so their occupation numbers N < sub > i </ sub > can only take on the value 0 or 1.
According to the Copenhagen interpretation of quantum mechanics, their shared state is indefinite until measured.
According to this vacuum energy explanation, since quantum theory holds that vacuum contains virtual particles, the rapidly moving interface between water and gas converts virtual photons into real photons.
According to Simpson ( 1944 ) quantum evolution relied heavily upon Sewall Wright's theory of random genetic drift.
According to some, quantum mechanics is more strongly ordered than Classical Mechanics, because while Classical Mechanics is chaotic, quantum mechanics is not.

According and entanglement
* According to Adi Sankara's commentary on the Vishnu sahasranama, Hari means " One who destroys samsara ", which is the entanglement in the cycle of birth and death, along with ignorance, its cause.
According to the 2009 status review of loggerheads by the Fisheries Service, drowning from entanglement in longline and gillnet fishing gear is the turtles ’ primary threat in the North Pacific.
According to Kaiser, quantum theory — particularly Bell's theorem and the concept of quantum entanglement — had raised questions about parapsychology and issues such as telepathy.

According and theory
According to the theory proposed, this is a consequence of the severe condition of perceived threat that persists unabated for the anxious child in an ambiguous sort of school environment.
According to the theory underlying odd-lot indices, the trader who trades odd lots is most likely a small trader, one who can't afford to trade round lots.
( Despite common belief, he did not take a day from February ; see the debunked theory on month lengths ) According to a Senatus consultum quoted by Macrobius, he chose this month because it was the time of several of his great triumphs, including the conquest of Egypt.
According to the theory, the human experience of moral obligations was the result of evolutionary pressures, which attached a sense of morality to human psychology because it was useful for moral development ; this entail that moral values do not exist independently of the human mind.
According to this new theory, the shorter Alexandrian text is closer to the original, and the longer Western text is the result of later insertion of additional material into the text.
According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to
According to the theory of aerodynamics, a flow is considered to be compressible if its change in density with respect to pressure is non-zero along a streamline.
According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.
According to the Big Bang theory, the Universe was once in an extremely hot and dense state which expanded rapidly.
According to the Chronicles-Ezra-Nehemiah theory, it contains material set aside from the rest of the book of Ezra, which was canonized first.
According to this theory, the anonymous author attributed these events to Daniel, as prophecies that were witnessed by this writer in the 2nd century BCE.
According to this theory, the cycle of philosophical upheavals that in part drove the diversification of Buddhism into its many schools and sects only began once Buddhists began attempting to make explicit the implicit philosophy of the Buddha and the early suttas.
According to one theory, the term was loaned to Russian, where-in literary language-it first appeared in " Elysei ", a 1771 poem by V. Maikov.
According to Brønsted – Lowry acid-base theory, acids are substances that donate a positive hydrogen ion to another substance in a chemical reaction ; by extension, a base is the substance which receives that hydrogen ion.
According to this theory, the crucial things being exchanged are charges.
According to physicist Phil Anderson, the term was coined by himself and Volker Heine when they changed the name of their group at the Cavendish Laboratories, Cambridge from " Solid state theory " to " Theory of Condensed Matter ", as they felt it did not exclude their interests in the study of liquids, nuclear matter and so on.
According to some psychologists, a person who believes in one conspiracy theory tends to believe in others ; a person who does not believe in one conspiracy theory tends not to believe another.
According to this theory, depressed people acquire a negative schema of the world in childhood and adolescence as an effect of stressful life events, and the negative schema is activated later in life when the person encounters similar situations.
According to Charles Darwin's theory of natural selection, characteristics such as camouflage that help an animal to survive will tend to evolve in any population.
According to Charles Darwin's 1859 theory of natural selection, features such as camouflage evolved by providing individual animals with a reproductive advantage, enabling them to leave more offspring, on average, than other members of the same species.
According to this view, Hume is not arguing for a bundle theory, which is a form of reductionism, but rather for an eliminative view of the self.
According to dot-com theory, an Internet company's survival depended on expanding its customer base as rapidly as possible, even if it produced large annual losses.
According to theory, this may give a comparative advantage in production of goods that make more intensive use of the relatively more abundant, thus relatively cheaper, input.

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