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Topic: Potential function

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	Potential energy -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		It is expressed in (A unit of potential equal to the potential difference between two points on a conductor carrying a current of 1 ampere when the power dissipated between the two points is 1 watt; equivalent to the potential difference across a resistance of 1 ohm when 1 a) volts.
		The fact that a potential is always relative to a reference point is often made explicit by using the term (The difference in electrical charge between two points in a circuit expressed in volts) potential difference.
		A graph of a 1D or 2D potential function with the function value scale increasing upward is useful to visualize the potential field: a ball rolling to the lowest part corresponds to a mass or charge, etc. being attracted.
	www.absoluteastronomy.com /encyclopedia/p/po/potential_energy.htm (1272 words)

	Energy Eigenvalues
		Potential energy: The potential energy is shown on the graph with a single fl line.
		The vertical size of the wave function in the display is proportional to the value of the function entered.
		The vertical scale of the wave function in the display is proportional to the value of the function entered.
	cat.sckans.edu /physics/wave_packets.htm (542 words)

	Potential function - Wikipedia, the free encyclopedia
		The term potential function can mean more than one thing.
		In general, it can mean a mathematical function whose values are a physical potential.
		Specifically, it can refer to the class of functions known as harmonic functions
	en.wikipedia.org /wiki/Potential_function (104 words)

	Spine 2000 May;25(10):1218-1226. Copyright © 2000 Lippincott Williams & Wilkins. Perfusion-Limited Recovery ... (Site not responding. Last check: 2007-10-22)
		Recovery of evoked potential function after decompression corresponded with a greater return of blood flow during sustained displacement and greater reperfusion of blood flow associated with decompression.
		For purposes of comparing potential ischemic factors of recovery, it was calculated that 90 minutes of sustained compression would result in 50% of the dogs that recovered evoked potential function after decompression.
		Functional recovery was determined by the return of lower extremity SEP signals.
	www.ocspine.com /pub3.htm (4569 words)

	Robot Motion Planning
		Though generation of such functions is computationally very expensive, yet they can be used for real time navigation by pre-generating a database of such functions for all possible goal points in a given Workcell.
		Harmonic functions satisfy the min-max principle: spontaneous creation of local minima within the region is impossible if laplace's equation is imposed as constraint on the function used.
		Any critical points of the function in the interior of this region must be saddle points, since local extrema of the function are not possible there.
	ai.stanford.edu /~mitul/rmp (1238 words)

	Solutions to the Schrodinger Equation
		The potential function is shown on the left-hand side of the applet, along with a marker indicating the chosen energy.
		There are controls for setting parameters for the potential function: the depth, width and number of the wells may be adjusted.
		With this function type selected, the potential is given by an expression chosen by the user, and entered in the "Potential function" field.
	www.benfold.com /sse/shoot.html (966 words)

	Extended Bond Order Potential for Nanomaterials (Site not responding. Last check: 2007-10-22)
		The energetics of a single-walled nanotube (70,70) as a function of the tube conformation.
		Fig.5 plots the potential as a function of the relative rotational angle between two nanotubes.
		The rotational potential as a function of relative rotational angle between inner and outer tubes The period for the rotational potential is 72°.
	www.foresight.org /Conferences/MNT6/Papers/Cagin3 (3197 words)

	Potential
		In physics, a potential is a scalar quantity that can be used to analyze the effects of complicated vectorial forces and similar quantities by means of simple conservation laws.
		This potential is also generalized for the case of circuits with inductance, handling the case of non-conservative electric fields (which occur when there is a time-varying magnetic flux), by including an effective potential difference equal to the integral of electric field around the closed circuit (zero for a conservative field).
		In such cases, this effective potential difference is sometimes confusingly called the electromotive force (emf), although it is not strictly a "force".
	www.brainyencyclopedia.com /encyclopedia/p/po/potential.html (444 words)

	(EQ 1)
		The function given in Equation 1 is the canonical form of a potential function with two stable equilibrium states.
		The potential surface is a function of emotion, ANS activity, and incongruity, and thus, is a surface in four dimensions.
		The actual emotion potential function model is written in a generalized form which is more suitable for empirical analysis.
	cos.fit.edu /math/faculty/Allen/emo.htm (896 words)

	Calc III: Lab #4 (Site not responding. Last check: 2007-10-22)
		Notice that the potential is a function from R^2 -> R, whereas the force is vector-valued.
		When the ball is far away from the origin, the potential surface is only slightly tilted, so the ball slowly rolls towards the origin.
		Mathematically, we say that the force felt by an object is the GRADIENT of the potential function.
	www.geom.uiuc.edu /~fjw/Labs/Lab4/Summary.html (516 words)

	Effect of Mutation on the Potential Energy Function
		One of the main goals of many of these approaches is to develop a potential energy function or a force-field that identifies the correctly folded state of the protein as the lowest energy state for that protein amongst a distribution of a large number of alternate conformations.
		Development of such a potential function is of crucial importance in order to enhance our ability to understand the thermodynamic and kinetic behavior of protein folding process.
		During the course of our training, we have found that the training of the potential energy parameters depends to a large extent upon the number of residues of any type present in the sequence and the number of contacts present between any two types of residues in the folded state of the protein.
	nebula.physics.uakron.edu /colloquium/chhajer.htm (455 words)

	D:\Tempo\Undergrad.html
		For example, in the 2nd composition function, two of the second level critical points became equal to each other at x=0, which was another critical point at the zero level.
		Finally now that we have proven it that the theory works for the 2nd composite function and shown that it has worked for the interesting cases of the third potetial function, we will prove that it works for all cases of the potential function.
		As each composition function moves to the next composition function, even if the lambda values are kept the same, the coefficients of the polynomial, when multiplied out, change from one composition function to the next step up composition function.
	filebox.vt.edu /a/afaulds/Undergrad.html (662 words)

	potential function (Site not responding. Last check: 2007-10-22)
		Note: If an inexpensive operation results in an increase of the potential function, but the increase of the potential function is within a constant factor of the actual cost of the operation, the amortized cost of the operation is unchanged.
		Meanwhile, if an expensive operation results in a decrease of the potential function that offsets the cost of the expensive operation, the amortized cost of the expensive operation may be small.
		Chris L. Kuszmaul, "potential function", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
	www.nist.gov /dads/HTML/potentialfnc.html (185 words)

	[No title]
		The scoring function is expanded using the Chebyshev polynomials, for which the coefficients are determined by minimizing the Z-score of native structures in the ensembles of alternate conformations.
		The function is able to discriminate very well between correct and incorrect folds, despite the fact that it simply counts the number of neighbors of each amino acid.
		Introduction A potential function which distinguishes native and native-like conformations from non-native structures is essential to protein structure prediction [1-10].
	www.research.ibm.com /journal/rd/453/fain.txt (4030 words)

	The Chemical Bond Potential Energy Function
		The Morse potential function itself is the red line, and the dotted orange line is the harmonic potential approximation to the Morse function.
		have the same potential parameters (nearly—that they don't agree exactly is a consequence of the approximations inherent in the Morse function itself), but note how the vibrational energy levels are lowered for D
		Note how the higher vibrational levels have wavefunctions that are largest in the region of the outer classical turning point and lack the symmetry of harmonic oscillator wavefunctions.
	www.dartmouth.edu /~chem81/thps/morse.html (419 words)

	Complex Potential Function (Site not responding. Last check: 2007-10-22)
		The Complex Potential for an Infinite Row of Doublets Transverse to a Uniform Fl...
		Identification and Functional Characterization of the p66/p68 Components of the...
		Potential energy surfaces and properties of the BrHBr complex...
	www.scienceoxygen.com /aviation/43.html (216 words)

	Fitness Landscapes
		The attractors of the dynamics will now correspond to the local minima of the potential function (potential valleys), or, equivalently, to the maxima of the fitness function (fitness peaks).
		The local maxima of the potential (peaks) are the points that separate the basins of the attractors (valleys) that lie in between the peaks.
		Thus, A has a higher fitness (or lower potential) than B. The bottoms of the valleys A, B and C are local minima of the potential, i.e.
	pespmc1.vub.ac.be /FITLANDS.html (399 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations (Site not responding. Last check: 2007-10-22)
		A one-electron potential function is shown tc exist such that the exact energy of the hydrogen molecule can be calculated with only a knowledge of the solution to the oneelectron Schrodinger equation, its eigenvalue, and an average, over this solution, of the potential energy of one electron in the mean field of the remaining electron.
		The formula can only be applied to accurately calculate the potential function when the hydrogen eigenfunction is known, and hence the formula is useful primarily to demonstrate the existence of the potential.
		On the basis of the HeitlerLondon wavefunction, an approximate numerical comparison between this potential function and that suggested by Slater is given.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=4701869 (237 words)

	CSE350 Homework 1
		Figure 1: Potential function image generated with meshc function (left) and the same function displayed via the 2D contour function with robot trajectory superimposed (right).
		After user input, contours of the potential function are to be drawn on the figure (see matlab function contour) and the robot will follow the trajectory dictated by the potential field (example in Figure 1 (right)).
		Plot the surface-contour plot of the potential function used for the simulation (example in Figure 1 (left)) using the built in Matlab meshc function.
	www.lehigh.edu /~josa/hwk2.html (787 words)

	One-Dimensional Potential Energy Well (Site not responding. Last check: 2007-10-22)
		The simple pendulum is a system for which the potential energy of the system is symmetrical for displacements from equilibrium.
		Since the potential energy rise associated with raising a mass m by height h is mgh, the potential energy function on this side should be simply mgx sin
		In this state, the kinetic energy is zero and the total and potential energies are at a global minimum.
	kossi.physics.hmc.edu /Courses/p23a/Experiments/Anharmonic.html (1786 words)

	Particle in a one dimensional lattice (periodic potential... - Wikipedia, the free encyclopedia
		Particle in a one dimensional lattice (periodic potential...
		We don't have an article called "Particle in a one dimensional lattice (periodic potential..."
		Search for "Particle in a one dimensional lattice (periodic potential..." in...
	en.wikipedia.org /wiki/Particle_in_a_one_dimensional_lattice_(periodic_potential... (61 words)

	Articles - Potential energy (Site not responding. Last check: 2007-10-22)
		The factors that affect the amount of gravitational potential energy that is created are: the mass of the object, the distance that it is raised and the gravitational field strength.
		Chemical energy is a form of potential energy related to the breaking and forming of chemical bonds.
		The fact that a potential is always relative to a reference point is often made explicit by using the term potential difference.
	www.sinoz.com /articles/Potential_energy (1449 words)

	Determinateness of the Complex Potential Function Vector (Site not responding. Last check: 2007-10-22)
		We consider the uniqueness of the complex potential function vector for a given state of stress.
		Since the stress is completely determined from equation (6) when the stress function vector is given, we substitute the complex potential vector (51) into question (13) and compare the result with its expected form (48) to get
		which means that when the stress functions are given only four out of seven constants in (52) remain arbitrary.
	www.rci.rutgers.edu /~denda/notes/aniso1/node12.html (536 words)

	Potential Energy (Site not responding. Last check: 2007-10-22)
		Calculate the gravitational potential energy released by the collapse of the World Trade Center in New York City on 11 September 2001.
		Since the mass of the towers is distributed throughout their volume and is not concentrated at a point, this problem is best solved using calculus.
		Determine the gravitational potential energy of a guillotine if the mouton (the weighted blade) has a mass of 40 kg and is raised 2.5 m above the neck of the condemned.
	www.hypertextbook.com /physics/mechanics/energy-potential (397 words)

	Potential Flow and d'Alembert's Paradox
		Using this equation, together with appropriate boundary conditions, we can solve for the potential function throughout the flow field, and this yields the streamlines as well, since they are everywhere normal to the equi-potential surfaces.
		For flow past a sphere we require that the radial component of the flow velocity is zero at the surface of the sphere.
		Jean Le Rond d'Alembert (1717-1783) performed a series of experiments to measure the drag on a sphere in a flowing fluid, and on the basis of the potential flow analysis he expected that the force would approach zero as the viscosity of the fluid approached zero.
	www.mathpages.com /home/kmath211/kmath211.htm (1579 words)

	Potential Function Of Simplified Protein Models For Discriminating (ResearchIndex)
		Abstract: An effective potential function is critical for protein structure prediction and folding simulation.
		For simplified models of proteins where coordinates of only atoms need to be specified, an accurate potential function is important.
		In this work, we present a formulation of potential function for simplified representations of protein structures.
	citeseer.ist.psu.edu /675913.html (352 words)

	Spike response model (Site not responding. Last check: 2007-10-22)
		The concept of variable threshold is captured in the refractory function, hence the threshold is not explicitly represented as a function in this model
		The function is positive valued for excitatory connections and negative valued for inhibitory connections.
		The postsynaptic potential function is independent of neuron type, other than the fact that a synapse from a pyramidal cell will be excitatory and a synapse from an inhibitory neuron will be inhibitory.
	cns-web.bu.edu /~nicks/project/html/thesis/node24.html (568 words)

	Untitled Document
		The spike history buffer is finite, and this is justified because the action potential, by definition, decreases exponentially after reaching its maximum.
		The function is added to the membrane potential every time step.
		The input to the function is the differnce between the current time and the time the neuron last spiked.
	www.cise.ufl.edu /~rgrimm/nSim/nproj_srm_details_2.htm (414 words)

	Calculus III (Math 2415) - Line Integrals - Conservative Vector Fields
		We saw this kind of integral briefly at the end of the section on iterated integrals in the previous chapter.
		It is usually best to see how we use these two facts to find a potential function in an example or two.
		Now, we could use the techniques we discussed when we first looked at line integrals of vector fields however that would be particularly unpleasant solution.
	tutorial.math.lamar.edu /AllBrowsers/2415/ConservativeVectorField.asp (1205 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		The form of \ the function is", FontSize->14], "\n ", StyleBox["V(x) = D (", FontSize->14], Cell[BoxData[ \(TraditionalForm\`e\^\(\(-2\) \[Alpha]\ \((x - x\_0)\)\)\)], FontSize->14], StyleBox[" - 2", FontSize->14], Cell[BoxData[ \(TraditionalForm\`e\^\(\(-\[Alpha]\)\ \((x - x\_0)\)\)\)], FontSize->14], StyleBox[ ")\nwhere x is the distance between the two atoms.
		At long range, as x\[RightArrow]\ \[Infinity], the potential energy becomes a constant (since the interaction \ between the atoms becomes negligible) which is chosen to be the zero of the \ energy scale.
		The goal of this exercise is \ to study the quantum mechanical wavefunctions for a diatomic molecule \ described by a Morse potential, first the scattering wavefunctions (or \ continuum states) corresponding to E > 0, and then the bound state \ vibrational wave functions corresponding to E
	www-theory.chem.washington.edu /~hannes/Chem465in00/Lab3cMorse.nb (1192 words)

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