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Topic: Particle amplitude

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	Sound - Wikipedia, the free encyclopedia
		is the amplitude of the pressure variation (0 to peak), f is the frequency of oscillation, and c is the speed of sound.
		The amplitude is the magnitude of sound pressure change within the wave, or basically, the maximum amount of pressure at any point in the sound wave.
		Amplitude is the maximal displacement of particles of matter that is obtained in compressions, where the particles of matter move towards each other and pressure increases the most and in rarefactions, where the pressure lessens the most.
	en.wikipedia.org /wiki/Sound_wave (1040 words)

	Resonant Particles and the Onset of Orbit Stochasticity
		To identify the resonance regions in arbitrary magnetic geometry and for finite amplitude perturbations it is therefore necessary to use a numerical approach to treat the resonance condition.
		Particles that are close to the resonance regions of the phase-space become trapped in the potential well of the AE and the orbits of these particles form island structures.
		For deeply passing particles the location of the particle islands are determined from the resonance condition given by equation (4.2).
	www.rzg.mpg.de /~sip/thesis/node68.html (1135 words)

	Sound - Biocrawler definition:Sound - Biocrawler (Site not responding. Last check: 2007-10-09)
		In more technical language, sound "is an alternation in pressure, particle displacement, or particle velocity propagated in an elastic material" (Olson 1957) or series of mechanical compressions and rarefactions or longitudinal waves that successively propagate through medium that are at least a little compressible (solid, liquid or gas but not vacuum).
		The frequency is the number of oscillations of a particular point in the course of soundwaves in a second.
		It is the maximal displacement of particles of matter that is obtained in compressions, where the particles of matter move towards each other and pressure increases the most and in rarefactions, where the pressure lessens the most.
	www.biocrawler.com /biowiki/Sound (970 words)

	Sound - Open Encyclopedia (Site not responding. Last check: 2007-10-09)
		The frequency is the rate of change within the wave and is measured in hertz (Hz).
		The amplitude is the magnitude of sound pressure change within the wave.
		The amplitude range of sound for humans has a lower limit of 0 dBSPL, called the threshold of hearing.
	open-encyclopedia.com /Sound (566 words)

	Particle displacement - Wikipedia, the free encyclopedia
		Particle displacement or particle amplitude (represented in mathematics by the lower-case Greek letter ξ) is a measurement of distance (in metres) of the movement of a particle in a medium as it transmits a wave.
		In most cases this is a longitudinal wave of pressure (such as sound), but it can also be a transverse wave, such as the vibration of a taut string.
		Particle displacement can be represented in terms of other measurements:
	en.wikipedia.org /wiki/Particle_displacement (109 words)

	Slides4
		The next step was to take the equation for describing how the amplitude of light varies in space (equation not given yet) and convert it into an equation that shows how a particle's wave amplitude varies in space.
		The amplitude of a wave function has no physical significance but will allow us to determine two features of systems that we do have an interest in: geometry and energy (of electron distributions in atoms and molecules).
		Levels 1 through 4 for a particle in a box; the wave functions or probability amplitudes must be zero at the walls of the box.
	www.andrew.cmu.edu /course/09-105/S98Slides4.html (529 words)

	The Wave Structure of Matter: Could Matter and Matter Waves be Derivable?
		The amplitude modulations are expressed by the sine function, in the square bracketed part of (9), and travel with the source/sink, since they correspond to the standing wave observed in motion.
		Thus, an inherent uncertainty remains in determining particle positions, the formalism of which is consistent with the usual uncertainty approach of quantum mechanics; narrowing the slit broadens the spread.
		Their instantaneous amplitudes will differ, however, due to their phase difference, caused by the different distances the waves travel from each slit to P. Thus, the situation at P reduces to the standard double slit experiment, in which the phase difference between the two parts of its phase wave is the primary concern.
	www.spaceandmotion.com /chris-hawkings-wave-theory.htm (7606 words)

	SOUND WEALTHY AND WISE FACT FINDER (Site not responding. Last check: 2007-10-09)
		'' is the amplitude of the pressure variation (0 to peak), ''f'' is the frequency of oscillation, and ''c'' is the speed_of_sound.
		The amplitude is the magnitude of sound_pressure change within the wave, or basically, the maximum amount of pressure at any point in the sound wave.
		While sound waves are usually visualised as sine_waves, sound waves can have arbitrary shapes and frequency content, limited only by the apparatus that generates them and the medium through which they travel.
	www.boostmoney.com /sound (1032 words)

	Straight-line path approximation for studying Planckian-energy scattering in quantum gravity (Site not responding. Last check: 2007-10-09)
		Such a representation of scattering amplitudes as a sum over all possible trajectories of colliding nucleons has proved helpful to investigate the interaction of elementary particles in the infrared region [6,7] and at high energies [1-5].
		In present paper we shall use a method for separating the poles of the Green's functions that generalizes the method introduced in [7] to find the scattering amplitude in a model of scalar nucleons interacting with a scalar meson field in which the contributions of closed nucleon loops are ignored.
		Eikonal representation of the amplitude of high-energy scattering (4.3) agrees with the result found by the "shock-wave method" proposed by 't Hooft [8], and by the method of effective topological theory in the Planckian limit proposed by Verlinde and Verlinde [12] and by the summing Feynman diagrams in the eikonal approximation [13].
	www.sif.it /cimento/toca/110.05/01/01.html (2821 words)

	Double Scattering Experiments (Site not responding. Last check: 2007-10-09)
		As long as we can distinguish these particles we are going to refer to them as ``particle a'' and ``particle b'' too.
		The particles move towards each other and then they interact within a circled region shown in Figure 4.8.
		The multiplication of amplitudes for a two-particle system, and their addition or subtraction (as shown above) leads to the following general description of multiplarticle states in quantum mechanics.
	beige.ucs.indiana.edu /B679/node58.html (989 words)

	Boundary Behavior Makeup Lab
		The purpose of this lab is to investigate the behavior of a wave at the boundary between two different media and to make some generalizations about the relationships between the energy and amplitude of the incident wave (the wave approaching the boundary) and the energy and amplitude of the reflected and transmitted waves..
		The medium is depicted as a string of 50 masses (representing the particles of the medium) connected by springs.
		When the relationship between the particle masses and the spring constants of the two media is such that all of the energy is not transmitted across the boundary, a wave is returned (reflected) from the interface or boundary.
	www.glenbrook.k12.il.us /gbssci/phys/makeups/waves/u11l6.html (1610 words)

	Single-particle tracking for DNA tether length monitoring -- Pouget et al. 32 (9): e73 -- Nucleic Acids Research (Site not responding. Last check: 2007-10-09)
		for a tethered particle and that for an immobile particle (9).
		Amplitude of motion A of the bead (average of 10 bead trajectories of 1 min duration) as a function of the time interval for various DNA lengths: 3571 bp (filled triangles), 2080 bp (open diamonds), 798 bp (filled squares) and 276 bp (open circles).
		Histograms for the amplitudes of Brownian motion of the beads tethered by 2-kb (1954 bp) Holliday junctions in the absence (open squares) or presence (filled diamonds) of RuvA collected from the 1 min tracking of 21 and 22 beads, respectively.
	nar.oxfordjournals.org /cgi/content/full/32/9/e73 (3960 words)

	Electricity As Matter Wave Frequency Changes
		Hence, we label the average amplitude of the first matter wave (with a higher average amplitude) substance as A1 (or the amplitude of electron wave # 1) and the second lower one as A2.
		Or, stated in words; the average electrical energy of the system is approximately equal to the average difference in wave amplitudes of the two systems, multiplied by the average differences in the frequencies (in cycles per second) of the two matter wave systems.
		Yes, the force carrying particles in particle physics such as the photon carry what is called integer spin.
	www.johnkharms.com /electricity.htm (9278 words)

	ipedia.com: Sound pressure Article (Site not responding. Last check: 2007-10-09)
		The SI unit is pascal with the symbol Pa. One pascal equals a pressure of one newton per cm²
		The amplitude of sound pressure decreases in the free field (direct field) with 1/r of the distance of a point source.
		The sound pressure p is connected to particle displacement or particle amplitude ξ, in m, by:
	www.ipedia.com /sound_pressure.html (264 words)

	Nat' Academies Press, Ocean Noise and Marine Mammals (2003)
		The deci in decibel indicates that the logarithm to the base 10 of squared pressure is multiplied by a factor of 10.
		More care must be taken in dealing with particle velocity because of its vector nature and because the polarization of the motion typically is more complicated than that of simple rectilinear motion.
		The original definition of the decibel was given in terms of intensity amplitude ratios.
	www.nap.edu /books/0309085365/html/174.html (674 words)

	1998 IFS reports
		From the amplitude dependence of the tuneshift, we derive equations for the region of beam instability due to integer resonances and coupled resonances.
		A system of amplitude equations describing the nonlinear interactions between three sheared modes is derived and employed to examine the physical mechanism of the echo.
		One is to decrease the number of particles per bunch (and thus to increase the repetition rate) and the other is to decrease the longitudinal bunch length.
	w3fusion.ph.utexas.edu /ifs/reports1998.html (4357 words)

	Beyond the Point Particle - An Electron Wave Structure
		Without particles to populate a universe, the universe could not exist because our concept of "universe" is simply a collection of particles and their distribution.
		The amplitude of the continuous waves is a scalar number, not an electromagnetic vector.
		The behavior of the particles (space resonances) in their interactions is largely due to their oscillating scalar waves which reveal their behavior to us via the rules of quantum mechanics and relativity.
	members.tripod.com /~mwolff/body_point.html (6782 words)

	about
		First we let the particle come to the neuron inputs with the probability amplitudes proportional to the input vector components (vector we want to recognize).
		Probability amplitude for the particle to come in a neuron will be the scalar product of the input vector and weight vector again.
		If particle (or particles) enters through several inputs (corresponding to combination of input words) then the total amplitude will be the sum of amplitudes for all inputs.
	www.geocities.com /qltqld/qlt.html (2473 words)

	[No title]
		The particle is simultaneously going both ways along the same path, but simultaneity is a meaningless concept so this is probably not the way to say it.
		In the particle's reference frame it is always at the origin and its clock keeps running the same way, so nothing funny there.
		4) A random sequence of particle arrivals at the detectors are undertaken, with resulting particle/detector magnitudes between 0 and 1, depending on both the particle's usual complex amplitude and the random phase of the detector it "tries".
	www.higgo.com /quantum/mwi4.htm (9248 words)

	Particle displacement -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Particle displacement -- Facts, Info, and Encyclopedia article
		It can be represented in terms of other measurements:
		(additional info and facts about particle velocity) particle velocity
	www.absoluteastronomy.com /encyclopedia/p/pa/particle_displacement.htm (510 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations (Site not responding. Last check: 2007-10-09)
		Energy Citations Database (ECD) Document #6638693 - Asymptotic dispersion relation for the six-particle amplitude
		Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
		For a journal article, please see the Resource Relation field.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=6638693 (78 words)

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