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Topic: Laplace number

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Rayleigh number

Power number

Dimensionless number

Knudsen number

Reynolds number

Friction factor

Abbe number

Mach number

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	Pierre-Simon Laplace - Wikipedia, the free encyclopedia
		He is also the discoverer of Laplace's equation and the Laplace transform, which appear in all branches of mathematical physics - a field he took a leading role in forming.
		Laplace spent much of his life working on mathematical astronomy that culminated in his masterpiece on the proof of the dynamic stability of the solar system with the assumption that it consists of a collection of rigid bodies moving in a vacuum.
		While Laplace saw foremost practical problems for mankind to reach this ultimate stage of knowledge and computation, later interpretations of quantum mechanics, which were adopted by philosophers defending the existence of free will, also leave the theoretical possibility of such an "intellect" contested: for a further discussion of this issue, see also: determinism.
	en.wikipedia.org /wiki/Pierre-Simon_Laplace (1019 words)

	Pierre Simon Laplace (1749 - 1827)
		Laplace went in state to beg Napoleon to accept a copy of his work, and the following account of the interview is well authenticated, and so characteristic of all the parties concerned that I quote it in full.
		Laplace in 1816 was the first to point out explicitly why Newton's theory of vibratory motion gave an incorrect value for the velocity of sound.
		Laplace's investigations in practical physics were confined to those carried on by him jointly with Lavoisier in the years 1782 to 1784 on the specific heat of various bodies.
	www.maths.tcd.ie /pub/HistMath/People/Laplace/RouseBall/RB_Laplace.html (2309 words)

	Laplace, Pierre Simon - Hutchinson encyclopedia article about Laplace, Pierre Simon (Site not responding. Last check: 2007-11-05)
		Laplace was born in Normandy and studied at Caen.
		From 1814 Laplace supported the Bourbon monarchy, and in 1826 refused to sign a declaration of the French Academy supporting the freedom of the press.
		In celestial mechanics, Laplace began 1784–86 by explaining the variations in the orbits of Jupiter and Saturn.
	encyclopedia.farlex.com /Laplace,%20Pierre%20Simon (277 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		A Laplace station is defined as a triangulation or traverse station at which a geodetic (Laplace) azimuth is derived from an astronomic azimuth by use of the Laplace equation.
		The Laplace equation expresses the relationship between astronomic azimuth, geodetic azimuth and the astronomic longitude and geodetic longitude.
		Laplace equations are introduced into triangulation adjustments to control the azimuth and orient the ellipsoid.
	www.ngs.noaa.gov /PUBS_LIB/Geodesy4Layman/TR80003B.HTM (2871 words)

	Laplace
		Laplace served on a committee set up to investigate the largest hospital in Paris and he used his expertise in probability to compare mortality rates at the hospital with those of other hospitals in France and elsewhere.
		Laplace became Count of the Empire in 1806 and he was named a marquis in 1817 after the restoration of the Bourbons.
		Laplace had always changed his views with the changing political events of the time, modifying his opinions to fit in with the frequent political changes which were typical of this period.
	www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Laplace.html (3653 words)

	Search Results for Laplace
		Laplace served on many of the committees of the Academie des Sciences, for example Lagrange wrote to him in 1782 saying that work on his Traite de mecanique analytique was almost complete and a committee of the Academie des Sciences comprising of Laplace, Cousin, Legendre and Condorcet was set up to decide on publication.
		Laplace, from 1774 onwards, became an important contributor to the attempt of the theoreticians to explain the observations of the observers.
		Laplace read a memoir to the Academie des Sciences on 23 November 1785 in which he gave a theoretical explanation of all the remaining major discrepancies between theory and observation of all the planets and their moons excluding Uranus.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Laplace&CONTEXT=1 (9348 words)

	Dimensionless number - Articles and Information (Site not responding. Last check: 2007-11-05)
		A dimensionless number is a quantity which describes a certain physical system and which is a pure number without any physical units.
		According to the Buckingham π-theorem of dimensional analysis, the functional dependence between a certain number (e.g.: n) of variables can be reduced by the number (e.g.
		Reynolds number (This is the most important dimensionless number; it describes the fluid flow regime)
	www.breakpt.org /article/Dimensionless_number (420 words)

	[No title]
		Note c that the maximum number of Laplace transform c evaluations is (mtop/2 + 2).
		c (9) ntcof number of nontrivial values of tcof actually calculat c they are based on ntcof/2+2 calls of cfun (three call c were for purely real argument).
		at the end of iteration number ntc c ntcof/2 + 1 complex function values at abscissas regularly spaced on c half of circle are stored in the tcof vector as follows.
	www.netlib.org /toms/662 (12713 words)

	General Methods for Analysis of Sequential "n-step" Kinetic Mechanisms: Application to Single Turnover Kinetics of ...
		duration as the number of intermediates in the reaction increase.
		of DNA unwinding is a measure of the number of basepairs that
		The solid line is a nonlinear least-squares fit using the numerical inverse Laplace transform of Eq.
	www.biophysj.org /cgi/content/full/85/4/2224 (7107 words)

	Laplace Arrives (Site not responding. Last check: 2007-11-05)
		Laplace, Prof Kaplan's tracing tool, can be used to collect reference traces of different programs.
		Prof Kaplan already had a program that was designed to loop a desired number of times over a requested number of megabytes.
		I used sftp to connect from laplace-linux to romulus.amherst.edu because no path was found from laplace to algol.cs (possibly because laplace is running on algol).
	www.amherst.edu /~imseneviratn/memalloc/laplaceArrives.html (906 words)

	Dimensionless number - Pictures (Site not responding. Last check: 2007-11-05)
		In the physical sciences, dimensionless number is a quantity which describes a certain physical system and which is a pure number without any physical units.
		Such a number is typically defined as a product or ratio of quantities which do have units, in such a way that all units cancel.
		The system of natural units chooses its base units in such a way as to make several physical constants such as the speed of light into simple dimensionless constants by definition.
	greatestinfo.org /Dimensionless (531 words)

	GNU Scientific Library -- Reference Manual - Random Number Distributions (Site not responding. Last check: 2007-11-05)
		Continuous random number distributions are defined by a probability density function, p(x), such that the probability of x occurring in the infinitesimal range x to x+dx is p dx.
		An approach invented by G. Marsaglia (Generating discrete random numbers in a computer, Comm ACM 6, 37--38 (1963)) is very clever, and readers interested in examples of good algorithm design are directed to this short and well-written paper.
		The algorithms rely on a random number generator as a source of randomness and a poor quality generator can lead to correlations in the output.
	www.gnu.org /software/gsl/manual/gsl-ref_19.html (3818 words)

	Laplace number (Site not responding. Last check: 2007-11-05)
		The Laplace number (La) is a dimensionless number used in the characterisation of free fluid dynamics.
		It is related to the ratio the surface tension to the momentum -transport inside a fluid.
		As the title suggests, all these songs were number one hits in the country charts.Of the songs...
	www.freeglossary.com /Laplace_number (352 words)

	LAPLACE - Performs a Laplacian convolution as an edge detector in a two-dimensional NDF
		LAPLACE - Performs a Laplacian convolution as an edge detector in a two-dimensional NDF
		This routine calculates the Laplacian of the supplied two-dimensional NDF, and subtracts it from the original array to create the output NDF.
		The subtractions can be done a specified integer number of times.
	star-www.rl.ac.uk /cgi-bin/htxserver/sun95.htx/sun95.html?xref_LAPLACE (237 words)

	D. Hejhal, et. al. - Emerging Applications of Number Theory (Site not responding. Last check: 2007-11-05)
		With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics.
		The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications.
		Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory).
	www.maths.ex.ac.uk /~mwatkins/zeta/ima.htm (187 words)

	ApICS LLC Control System Analysis and Training Course, CH 1 (Site not responding. Last check: 2007-11-05)
		Complex numbers must be manipulated using complex algebra, which is an extension of the algebra of real numbers.
		When a real number and an imaginary number are added or subtracted, as in 12 + j5 and -4 + j3, the result is a complex number in rectangular form.
		Whenever the inverse Laplace transform is not readily known or available in the table of transform pairs on hand, it is sometimes necessary to first expand function into partial fractions -- simple rational functions of s for which the inverse Laplace is readily available.
	www.apicsllc.com /apics/Ch_1/Ch_1.html (3566 words)

	Course Number
		Analysis and design of continuous linear feedback systems; mathematical characterization of systems; stability theory and signal flow analysis; computer-aided design with root locus and frequency response techniques; compensator and controller types; state description of systems.
		Laplace transforms; calculus and differential equations; electrical circuit analysis;
		Laplace transform methods applied to electrical circuits, translational mechanical systems and rotational mechanical systems; transfer functions.
	www.coe.montana.edu /ee/courses/ee/ee321/ee321goals.htm (471 words)

	Intusoft Newsletter, July 2002, Filter Library Updated
		The Laplace model then scales its frequency so that designs in the GHz region are well conditioned; that is, we don’t need to raise the actual frequency to a high power that would result in numerical overflow.
		The numsteps variable is the number of plots in the “eye.” For example, if you run for 250 clock cycles, enter 250 for numsteps.
		We have also added a large number of Laplace models for filters so its possible to perform filtering either in the simulation or afterward using the FFT based filters.
	www.intusoft.com /nlhtm/nl67.htm (2523 words)

	Message Passing: Code Development
		The objective of this lecture is to go over a simple problem that illustrates the use of the MPI library to parallelize a partial differential equation (PDE).
		The Laplace problem is a simple PDE and is found at the core of many applications.
		Just for simplicity, we will distribute rows in C and columns in Fortran; this is easier because data is stored in rows in C and in columns in Fortran.
	www.sc-2.psc.edu /workshop/jan01/Code_Development/Code_Development.html (1526 words)

	Importing Graphical Templates - Winter 1998
		For this reason, using Laplace table sources to import AC templates is a simpler method in the case of multiple run simulations.
		The Laplace table sources would have to be added to a schematic in the configuration that appears below in order to produce the two template waveforms from the first method.
		The number of Laplace table sources is dependent on the number of template waveforms being plotted on a 1:1 basis.
	www.spectrum-soft.com /news/winter98/import.shtm (1144 words)

	Articles - Dimensionless number (Site not responding. Last check: 2007-11-05)
		According to the Buckingham Ï-theorem of dimensional analysis, the functional dependence between a certain number (e.g., n) of variables can be reduced by the number (e.g., k) of independent dimensions occurring in those variables to give a set of p = n â’ k independent, dimensionless numbers.
		Magnetic Reynolds number: used to compare the transport of magnetic lines of force in a conducting fluid to the leakage of such lines from the fluid [12]
		Richardson number: Effect of buoyancy on flow stability [15]
	lastring.com /articles/Dimensionless_number?... (883 words)

	Table of Laplace Transforms
		Laplace transforms are used to solve differential equations.
		As an example, Laplace transforms are used to determine the response of a harmonic oscillator to an input signal.
		Oberhettinger and L. Badii, Table of Laplace Transforms, Springer-Verlag, N.Y., 1972.
	www.vibrationdata.com /Laplace.htm (182 words)

	[No title]
		number of Laplace domain samples parameter nsm= ns - 1 parameter nl=29 !
		number of parallel Maxwell elements parameter np= (nl)*(nm) + 6 !
		number of parameters to solve parameter npp = np + 1 parameter npp2= np + 2 parameter nh=15 !
	www.seismo.unr.edu /ftp/pub/stevew/forbills/defsolve.f (241 words)

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