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# Topic: Superposition

###### In the News (Mon 17 Jun 19)

 Superposition Theorem : DC NETWORK ANALYSIS Superposition theorem is one of those strokes of genius that takes a complex subject and simplifies it in a way that makes perfect sense. It must be noted, though, that the Superposition Theorem works only for circuits that are reducible to series/parallel combinations for each of the power sources at a time (thus, this theorem is useless for analyzing an unbalanced bridge circuit), and it only works where the underlying equations are linear (no mathematical powers or roots). The Superposition Theorem finds use in the study of alternating current (AC) circuits, and semiconductor (amplifier) circuits, where sometimes AC is often mixed (superimposed) with DC. www.allaboutcircuits.com /vol_1/chpt_10/7.html   (725 words)

 Superposition Principle Interference is a consequence of the superposition principle. Notice that the result is a wave with about the same wavelength as the two initial waves, but which varies in amplitude depending on whether the two sine waves are in or out of phase. is called the wavenumber spread of the wave packet, and it evidently plays a role similar to the difference in wavenumbers in the superposition of two sine waves -- the larger the wavenumber spread, the smaller the physical size of the wave packet. www.physics.nmt.edu /~raymond/classes/ph13xbook/node10.html   (0 words)

 What is superposition? - a definition from Whatis.com The principle of superposition claims that while we do not know what the state of any object is, it is actually in all possible states simultaneously, as long as we don't look to check. Superposition is well illustrated by Thomas Young's double-slit experiment, developed in the early nineteenth century to prove that light consisted of waves. Each photon moves simultaneously in a superposition of possible trajectories, and, furthermore, measurement of the trajectory causes the superposition of states to collapse to a single position. searchsmb.techtarget.com /sDefinition/0,,sid44_gci341263,00.html   (867 words)

 Superposition Theorem   (Site not responding. Last check: ) superposition theorem states that in a linear circuit with several sources, the current and voltage for any element in the circuit is the sum of the currents and voltages produced by each source acting independently. In order to use the superposition theorem with circuit currents and voltages, all of the components must be linear; that is, for all resistive components, the current must be proportional to the applied voltage (satisfying Ohmâ€™s law). While the superposition theorem can be useful for solving simple practical problems, its main use is in the theory of circuit analysis, where it is employed in proving other theorems. www.tina.com /course/12super/super.htm   (779 words)

 Quantum superposition If one attempts to measure the quantity, the projection postulate states that the state will be randomly collapsed onto one of the values in the superposition (with a probability proportional to the amplitude of that eigenstate in the linear combination). Quantum superposition results in many directly observable effects, such as interference peaks from an electron wave in a single-slit experiment. If two observables correspond to non-commuting operators, they obey an uncertainty principle and a distinct state of one observable corresponds to a superposition of many states for the other observable. www.ebroadcast.com.au /lookup/encyclopedia/qu/Quantum_superposition.html   (144 words)

 Smart Computing Dictionary Entry - superposition   (Site not responding. Last check: ) Superposition is the part of quantum theory that governs the behavior of small particles. Superposition is described as a kind of third state between two states of an atomic particle. Superposition plays a part in quantum computing because it allows a qubit (the quantum equivalent of a bit) to be on, off, or on and off. www.smartcomputing.com /editorial/dictionary/detail.asp?guid=8CF5E5CB35CB42E1857F6F42970E2A2C&searchtype=1&DicID=7899&RefType=Dictionary   (117 words)

 Superposition Theorem - DC Network Analysis The strategy used in the Superposition Theorem is to eliminate all but one source of power within a network at a time, using series/parallel analysis to determine voltage drops (and/or currents) within the modified network for each power source separately. It must be noted, though, that the Superposition Theorem works only for circuits that are reducible to series/parallel combinations for each of the power sources at a time (thus, this theorem is useless for analyzing an unbalanced bridge circuit), and it only works where the underlying equations are linear (no mathematical powers or roots). The Superposition Theorem states that a circuit can be analyzed with only one source of power at a time, the corresponding component voltages and currents algebraically added to find out what they'll do with all power sources in effect. www.opamp-electronics.com /tutorials/superposition_theorem_1_10_06.htm   (734 words)

 Law of superposition Summary Before the development of radiometric dating techniques, the law of superposition was used to assign relative ages to rock units based on their position in the sequence. The law of superposition is an axiom that forms one of the bases of the sciences of geology, archaeology, and other fields dealing with stratigraphy. This is of great importance to stratigraphic dating, which assumes that the law of superposition holds true and that an object cannot be older than the materials of which it is composed. www.bookrags.com /Law_of_superposition   (1321 words)

 Superposition of Waves The principle of superposition may be applied to waves whenever two (or more) waves travelling through the same medium at the same time. Two waves (with the same amplitude, frequency, and wavelength) are travelling in the same direction on a string. If two sinusoidal waves having the same frequency (wavelength) and the same amplitude are travelling in opposite directions in the same medium then, using superposition, the net displacement of the medium is the sum of the two waves. www.kettering.edu /~drussell/Demos/superposition/superposition.html   (0 words)

 Citations: Superposition of interrupted poisson processes and its application to packetized voice multiplexers - Ide ...   (Site not responding. Last check: ) Superposition of interrupted Poisson processes and its application to packetized voice multiplexers. Ide "Superposition of Interrupted Poisson Processes and its Application to Packetized Voice Multiplexors", Proceedings of the 12th ITC, Torino, Italy, 1988, Vol. The value of ffi can be obtained by using matrix methods as in, for example, 21, 32] Fortunately, we may fairly readily go further and calculate the full time dependent shape function in order to test the heuristics against it. citeseer.ist.psu.edu /context/126117/0   (455 words)

 Spintronics, Superposition, Qubits - Definition, Applications and The Potential For Quantum Computer   (Site not responding. Last check: ) In 1935 Erwin Schrodinger outlined his idea that a cat placed in a sealed box with a deadly device is then not known to be either dead, nor alive. It is only if we open the box to look inside that the cat is observed to be one or the other and then the superposition state is removed. Superposition of states allows us to assume the electron is spinning a little bit up and little bit down at the same time — in other words the electron represents both the bit values 0 and 1 simultaneously. www.azonano.com /Details.asp?ArticleID=1678   (591 words)

 A.   (Site not responding. Last check: ) Superposition may thus be stated as the summary combination of functional inputs whether we are talking about neural nets, cellular automata, or whatever. From a temporal standpoint, superposition may be described as the upstream side of dynamic flow. The superposition of all the pre-images of B gives birth to B...."The number of pre-images is the state's ``in-degree''. home.earthlink.net /~sroof/Abraxas/sar/asp/asp.htm   (1611 words)

 Is and Is-Not, A Look at Superposition Superposition is where every possible state that an object can exist in, it does. While everything exists in it’s state of superposition, it is said to exist in a wave state. According to quantum mechanics, it was your finding the book and rescuing it from the state of superposition it was in that caused it to age. www.virtualchaos.org /science/is-not.html   (1838 words)

 Quantum Superposition superposition principle: The general idea that, when a number of influences are acting on a system, the total influence on that system is merely the sum of the individual influences; that is, influences governed by the superposition principle add linearly. Some specific examples are: superposition principle of forces The net force on a body is equal to the sum of the forces impressed upon it. superposition principle of states The resultant quantum mechnical wavefunction due to two or more individual wavefunctions is the sum of the individual wavefunctions. www.geocities.com /Athens/Acropolis/2606/superpos.htm   (2223 words)

 Quantum::Superpositions - QM-like superpositions in Perl - search.cpan.org However, when an operation is applied to a superposition, it is applied (notionally) in parallel to each of the states in that superposition. Providing an implicit conversion to numeric (for situations where superpositions are used as operands to an arithmetic operation, or as array indices) is more challenging than stringification, since there is no mechanism to capture the entire state of a superposition in a single non-superimposed number. When a superposition is used as a subroutine argument, that subroutine is applied in parallel to each state of the superposition and the results re-superimposed to form the same type of superposition. search.cpan.org /dist/Quantum-Superpositions/lib/Quantum/Superpositions.pm   (2240 words)

 FEEE - Fundamentals of Electrical Engineering and Electronics: Superposition Theorem Superposition theorem is one of those strokes of genius that takes a complex subject and simplifies it in a way that makes perfect sense. Another prerequisite for Superposition Theorem is that all components must be "bilateral," meaning that they behave the same with electrons flowing either direction through them. The Superposition Theorem finds use in the study of alternating current (AC) circuits, and semiconductor (amplifier) circuits, where sometimes AC is often mixed (superimposed) with DC. www.vias.org /feee/dcnet_07.html   (745 words)

 Superposition of pure tones A superposition of two waves is just the sum of the two waves. Other examples of superposition we'll look at in the coming few lectures will follow exactly the same method, but we'll use a computer to do the actual calculations. A smooth curve is drawn through the points to represent the waveform from the superposition. hep.physics.indiana.edu /~rickv/Superposition.html   (469 words)

 Superposition: When two signals are added together and fed to the filter, the filter output is the same as if one had put each signal through the filter separately and then added the outputs (the superposition property). The superposition property of linear systems states that the response of a linear system to a sum of signals is the sum of the responses to each individual input signal. Without superposition, we have no such general description and it may be impossible to do any better than to catalog the filter output for each possible input. ccrma.stanford.edu /~jos/laplace/Superposition.html   (391 words)

 An Overview of Quantum Computers That is, the measurement is said to collapse the original superposition to the new superposition consisting of the single classical state (i.e., the amplitude of the returned state is 1 and all other amplitudes are zero). In both these cases, the key property of the superposition is its linearity: an operation on a superposition of states gives the superposition of that operation acting on each of those states individually. Thus this irreversible classical operation is not physically realizable on a superposition, i.e., it cannot be used with quantum parallelism. www.cs.cmu.edu /afs/cs/project/jair/pub/volume4/hogg96a-html/node6.html   (1346 words)

 Superposition Principle Among the defining characteristics of a superposition is that it is not a mixture. The nature of the relationships which the superposition principle requires to exist between the states of any system is of a kind that cannot be explained in terms of familiar physical concepts. Under the influence of this perturbation the electron moves into a state that is a time-dependent linear superposition of the ground state and the manifold of excited states (in atomic units). www.users.csbsju.edu /~frioux/super/MM-super.htm   (4054 words)

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