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Topic: Superposition principle

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	Law of superposition - Wikipedia, the free encyclopedia
		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.
		Superposition in Archaeology and especially in stratification use during excavation is slightly different as the processes involved in laying down archaeological strata are somewhat different form geological processes.
		Superposition in archaeology requires a degree of interpretation to correctly identify chronological sequences and in this sense superposition in archaeology is more dynamic and multi- dimensional.
	en.wikipedia.org /wiki/Law_of_superposition (1247 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 (723 words)

	Geologic Time: Relative Time
		Using the principle of superposition we can assume that the beds at river level are older than the beds higher on the slopes.
		Left: The principle of superposition tells us that the beds near the river are older than the beds at the top of the slope.
		Superposition: D must have been deposited after C as it overlies B and C. Original horizontality: D was deposited as a horizontal bed.
	www.mhhe.com /earthsci/geology/mcconnell/gti/relative.htm (1700 words)

	Ceteris paribus Clauses, Closure Clauses and Falsifiability (Site not responding. Last check: 2007-11-07)
		Superposition principles have to be regarded as empirical laws, not as a priori principles.
		In classical physics, Newton's three laws of motion and the superposition principle were complemented by laws specifying different kinds of forces, best-known being the law of gravitation.
		Because of the open-endedness of the superposition principle for forces, one is not, when confronted with a counter-instance, compelled by logic to reject or modify any of the laws or singular existential statements involved.
	hem.passagen.se /ijohansson/physics1.htm (3102 words)

	How Do Scientists Measure Earth Age?
		The principle of superposition - in a vertical sequence of sedimentary or volcanic rocks, a higher rock unit is younger than a lower one.
		Using these principles, it is possible to construct an interpretation of the sequence of events for any geological situation, even on other planets (e.g., a crater impact can cut into an older, pre-existing surface, or craters may overlap, revealing their relative ages).
		Despite this, the "principle of cross cutting relationships" can be used to determine the sequence of deposition, folds, and faults based on their intersections -- if folds and faults deform or cut across the sedimentary layers and surfaces, then they obviously came after deposition of the sediments.
	www.leeric.lsu.edu /bgbb/1/strat_measuring.html (1479 words)

	Superposition principle - Wikipedia, the free encyclopedia
		Superposition of almost plane waves (diagonal lines) from a distant source and waves from the wake of the ducks.
		In hydrogeology, the superposition principle is applied to the drawdown of two or more water wells pumping in an ideal aquifer.
		Using linear operators, the proof of the principle of superposition is trivial.
	en.wikipedia.org /wiki/Superposition_principle (544 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.
		When quantum mechanical principles are applied to atomic and molecular systems, the result is an explanation of atomic and molecular stability (the emergence of a ground state), and a manifold of quantized energy states for the internal degrees of freedom of the system being studied.
	www.users.csbsju.edu /~frioux/super/MM-super.htm (4054 words)

	superposition principle and linearity (Site not responding. Last check: 2007-11-07)
		Superposition for forces is a direct consequence of the law of vector addition and of the linearity of Newton's law.
		Superposition principle is a famous topic in many science areas: mechanics, electromagnetism, structural engineering, electrical engineering, electronical engineering and other parts that are governed by linear equations.
		By the way, superposition principle is not employed at all in nonlinear sciences, like fluid mechanics, combustion theory, nonlinear physics and so on.
	www.physicsforums.com /showthread.php?p=292640 (354 words)

	PlanetPapers - Relative Dating
		These principles are the principle of superposition, the principle of original horizontality, the principle of cross-cutting relationships, and the principle of inclusions.
		The principle of superposition is defined as in the environment of an undisturbed layer of sedimentary rocks; the layers on the bottom are older than the layers towards the top.
		This principle was founded by the Danish anatomist Nicolas Steno, who noted that during floods, streams spread across their floodplains and deposit layers of sediment that bury organisms dwelling there.
	www.planetpapers.com /Assets/433.php (720 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)

	unit04-sect01-les10-lessonc (Site not responding. Last check: 2007-11-07)
		Don't be worried by the term "principle of superposition".
		The principle of superposition states that we can find the resultant displacement of a given particle of a medium by finding the sum of the displacements that would be caused by each pulse or wave acting independently.
		When the two pulses "overlap", we apply the superposition principle to find the resultant displacement of x, y, and z by adding together the effects of both pulses.
	www.cdli.ca /courses/phys2204/unit04/section01/lesson10/3-lesson-c.htm (614 words)

	Topic 44. Color and the principle of superposition
		Many physical systems are assumed to obey the principle of superposition, which states that the response of some system to a combination of two inputs is the same as the sum of the responses to each input acting by itself.
		Although it is not obvious from the definition, one of the important consequences of the principle of superposition is that the output of a system that obeys it does not contain frequencies that were not present at the input.
		This is especially important for hi-fi amplifiers, for example, where the output is intended to reproduce the input signal without additional spurious frequencies.
	www.colorado.edu /physics/phys1230/phys1230_fa01/topic44.html (297 words)

	Resistance-network Problems (Site not responding. Last check: 2007-11-07)
		The superposition principle argues that a current injected at a vertex (with no sink specified) results in current flowing equally through all the edges joining the vertex.
		Because the superposition principle only ever makes predictions for the resistance in one edge, and because the reasoning isn't strong, it seems plausible to me that the principle is just a coincidence.
		The principle only applies to highly regular infinite graphs: the examples above are all tesselations of the euclidean spaces, but the principle could be tested on tesselations of hyperbolic spaces (visualise trying to connect regular polygons around each vertex such that the angle sum is greater than 360 degrees, e.g.
	f2.org /maths/resnet (1572 words)

	New device tests uncertainty principle with new precision
		According to the Heisenberg Uncertainty Principle, the precision of simultaneous measurements of position and velocity of a particle is limited by a quantifiable amount.
		For that he's focusing on another principle of quantum mechanics -- the superposition principle -- which holds that a particle can simultaneously be in two places.
		Laser cooling is known as the anti-stokes refrigeration effect; a semiconductor absorbs light at one frequency, this light then "collects" phonons (thermal excitations of the crystal lattice) from the material and is emitted from a higher energy electron and thus has a higher frequency.
	www.physorg.com /news78167269.html (1041 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.
		Using the principle of superposition, the resulting string displacement may be written as:
		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 (776 words)

	Superposition Principle
		At sufficiently large amplitude the superposition principle often breaks down -- interacting waves may scatter off of each other, lose amplitude, or change their form.
		Interference is a consequence of the superposition principle.
		This relationship is central to the uncertainty principle of quantum mechanics.
	www.physics.nmt.edu /~raymond/classes/ph13xbook/node10.html (843 words)

	Apr 10: uncertainty principle, superposition, contextualism (Site not responding. Last check: 2007-11-07)
		In its purest form, the uncertainty principle states that accurate knowledge of complementarity pairs is impossible.
		The quantum wave function was developed as a mathematical description of the superpositions associated with a quantum entity at any particular moment (i.e.
		It is important to note that the superposition of possibilities only occurs before the entity is observed.
	blueox.uoregon.edu /~karen/astro123/lectures/lec05.html (953 words)

	Pulse Addition APPLET (Site not responding. Last check: 2007-11-07)
		This applet will help you understand the Superposition Principle as it applies to two waves interacting on a string.
		The superposition principle states that the resulting wave from any number of waves interacting with each other is the algebraic sum of all of the waves at every instant.
		Hence, 1 corresponds to a wave that is half as high as the original.
	physics.ham.muohio.edu /waveapplets/pulseadd.htm (198 words)

	Quantum Theory
		The superposition principle is the unique feature of quantum mechanics, and shows graphically that, under some circumstances, particles behave as probability waves.
		The theory of renormalization, which is an essential feature quantum field theory (the application of the principles of quantum mechanics to the quantization of a classical field), is even today beyond the scope of rigorous mathematics, and find its final justification in the experimental validation of its predictions.
		One may have noticed that Heisenberg's Uncertainty Principle connects two quantities, in particular position and momentum, in an essential relationship given in eq.(11.76) that was absent in classical physics.
	srikant.org /core/node12.html (10012 words)

	Network Theorems
		Superposition principle applies if this function is linear:
		When there exist multiple energy sources, the currents and voltages in the circuit can be found as the algebraic sum of the corresponding values obtained by assuming only one source at a time, with all other sources turned off (voltage sources treated as short circuit, current sources treated as open circuit).
		As superposition principle only applies to linear functions, it cannot be applied to nonlinear functions such as power (e.g.,
	fourier.eng.hmc.edu /e84/lectures/ch2/node3.html (805 words)

	Superposition Example
		The values of the voltage source voltage and current source current and of both resistances can be adjusted using the scrollbars.
		The voltage and current measured by the meters are the outputs or responses of the circuit.The principle of superposition says that the response of a linear circuit to several inputs working together is equal to the sum of the response of that circuit to the inputs working separately.
		I and V denote the current and voltage measured by the meters when both the voltage source and the current source are in the circuit.
	people.clarkson.edu /~svoboda/eta/ClickDevice/super.html (568 words)

	PRINCIPLE OF SUPERPOSITION
		if input A produces output B and input C produces output D, the principle of superposition holds if input A+C produces output B+D. Otherwise it does not hold.
		If the principle of superposition applies, the system is linear.
		The superposition principle is the basis for treating all problems in wave mechanics including interference and diffraction.
	pespmc1.vub.ac.be /ASC/PRINCI_SUPER.html (65 words)

	The Quantum Bit
		It is the most simple quantum system, and in principle all other quantum systems can be modeled in the state space of collections of qubits.
		The existence of such superpositions of distinguishable states of quantum systems is one of the basic tenets of quantum theory called the ``superposition principle''.
		The superposition principle for quantum information means that we can have states that are sums of logical states with complex coefficients.
	www.eskimo.com /~knill/qip/prhtml/node3.html (930 words)

	The Principle of Superposition... - Advanced Physics Forums (Site not responding. Last check: 2007-11-07)
		If the resoring force was not a linear function of the curvature of the medium, then the wave equation would no longer be linear, and to superposition principle would cease to be valid.
		There is a law of physics which says that the Coulomb forces on a charged particle can be replaced by one force which is the sum of the multiple Coulomb forces.
		The whole issue is completely irrelevant because you might as well have just made phi1 a 35 m wave in the first place and made phi2 a 9 m wave in the first place.
	www.advancedphysics.org /forum/showthread.php?t=6186 (1689 words)

	Diffraction, Interference and Polarization
		Note that the maximum displacement of a particle in the medium is the sum of the amplitudes of the waves.
		The amplitude of the resultant wave at any point can be calculated by using the principle of superposition.
		For example, after passing through a narrow slit, a homogeneous monochromatic beam of light is found to diverge from the slit and displays a structure of alternating light and dark bands.
	www.physchem.co.za /Light/Diffraction.htm (1007 words)

	Time—temperature superposition principle applied to a kenaf-fiber/high-density polyethylene composite (Site not responding. Last check: 2007-11-07)
		Description: The time—temperature superposition principle was applied to the viscoelastic properties of a kenaf- fiber/high-density polyethylene (HDPE) composite, and its validity was tested.
		This information will be useful for the eventual development of an engineering methodology for creep necessary for the design of structural building products from these composites.
		Tajvidi, Mehdi; Falk, Robert H.; Hermanson, John C. Time—temperature superposition principle applied to a kenaf-fiber/high-density polyethylene composite Journal of applied polymer science.
	www.treesearch.fs.fed.us /pubs/25445 (308 words)

	AMCA: Generalized nonlinear superposition principle by Jaume Giné (Site not responding. Last check: 2007-11-07)
		We show that for certain systems some of the particular solutions remain arbitrary and the other ones are explicitly determined or are functionally related to the arbitrary particular solutions.
		We obtain in this way a nonlinear superposition principle that generalize the classical nonlinear superposition principle of the Lie theory.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/l/h/15.htm (290 words)

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