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Units In 1960 physicists throughout the world adopted the so-called S.I. system of units, whose standard measures of length, mass, time, and electric charge are the meter, kilogram, second, and coloumb, respectively. Admittedly, this is mostly an Anglo-Saxon phenomenon; the Gaussian system is most prevalent in the U.S., followed by Britain (although, the Gaussian system is rapidly dying out in Britain under the benign influence of the European Community). Incidentally, the standard units of length, mass, time, and electric charge in the Gaussian system are the centimeter, gram, second, and statcoloumb, respectively. farside.ph.utexas.edu /teaching/jk1/lectures/node5.html   (741 words)

PlanetMath: Gaussian integer of all Gaussian integers is a subring of This is version 6 of Gaussian integer, born on 2001-10-15, modified 2003-10-08. For instance, they are a subring of the complex numbers, their graph on the complex plane forms a lattice of "squares", and they are a Euclidean domain. planetmath.org /encyclopedia/GaussianIntegers.html   (152 words)

Heaviside-Lorentz Units Gaussian units are based on the cgs system of mechanical units, and were long dominant for theoretical investigations. This is called "rationalization" of the units, which is a convenience in theoretical studies, especially of electromagnetic waves and radiation. Therefore, to rationalize the Gaussian units, we multiply the measures of the sources by √4π, and divide the measures of the fields by the same factor. www.du.edu /~jcalvert/phys/hlu.htm   (990 words)

ACM Sigplan Notices 28, 11 (Nov 1993), 22-27. Once the basic concepts are in hand, we should revel in the polymorphism of Gaussian integers as pairs of integers, as well as atomic elements of the Gaussian ring, much as we revel in the dual role of C "ints" as both integers and bit strings. We know that for a Gaussian integer divisor m+ni, we need m^2+n^2 distinct remainders, so the most elegant choice of representative remainders is a square of area m^2+n^2 which is tilted at an angle of atan(n/m);[5] equivalently, we consider the remainder fraction r/d to reside in an upright square of area 1. Interestingly, Gaussian halftones[25] can be done only if l has no prime factors p=4k+3 which have odd exponents; this makes it difficult to provide a number of grey levels which is exactly a power of two. home.pipeline.com /~hbaker1/Gaussian.html   (6038 words)

Unit Systems in Electromagnetism The Gaussian unit of magnetic field strength, the oersted, was defined as equal to unity (1.0) at the centre of a circular loop of thin wire, radius one centimetre, carrying 1/(2π) The units should be of a size that is appropriate for use in science and engineering and in everyday ('customary') use by the wider commercial and public community. The units should be defined in a manner that is both precise and capable of being reproduced anywhere in the world. www.ee.surrey.ac.uk /Workshop/advice/coils/unit_systems   (3404 words)

Gaussian integer - Wikipedia, the free encyclopedia If the norm of a Gaussian integer z is a prime number, then z must be a Gaussian prime, since every non-trivial factorization of z would yield a non-trivial factorization of the norm and irreducible numbers are prime, since Z[i] is a Euclidean domain. The ring of Gaussian integers is the integral closure of Z in the field of Gaussian rationals Q(i) consisting of the complex numbers whose real and imaginary part are both rational. The ring of Gaussian integers was introduced by Carl Friedrich Gauss in 1829 - 1831 (see [1]) while studying reciprocity laws which are generalisations of the theorem of quadratic reciprocity which he had first succeeded in proving in 1796. en.wikipedia.org /wiki/Gaussian_integer   (571 words)

Selective accuracy. For the mixture Gaussian probability estimates it is characteristic that each Gaussian provides a good accuracy only for samples near the centroid and that the total density estimate is strongly dominated by the few Gaussians close to the sample. To get more Gaussians to the areas where many input vectors fall, it is important that the point density of the Gaussian units reflect as well as possible the density of the input space. If there were only one unit, the small random effects due to its distance from the observation and its state-dependent weight may influence excessively to the accuracy of the PDF estimate. www.cis.hut.fi /~mikkok/thesis/book/node48.html   (547 words)

Weight vs. Mass; What's the Difference? Some fps "systems" might include units such as horsepower or various gallons, in which case the units are not all "coherent" in the technical sense used in metrology. Thus the SI unit of the quantity weight used in this sense is the kilogram (kg) and the verb "to weigh" means "to determine the mass of" or "to have a mass of". This was implemented in the United States by an official notice by the Secretary of Commerce in the Federal Register of 1 July 1959. ourworld.compuserve.com /homepages/Gene_Nygaard/weight.htm   (4527 words)

NIST Guide to SI Units - 5 Units Outside the SI The combination of units of this table with SI units to form derived units should be restricted to special cases in order not to lose the advantages of the coherence of SI units. These units are used in specialized fields; their values in SI units must be obtained from experiment and, therefore, are not known exactly. 5.2 Units temporarily accepted for use with the SI Because of existing practice in certain fields or countries, in 1978 the CIPM considered that it was permissible for the units given in Table 9 to continue to be used with the SI until the CIPM considers that their use is no longer necessary [2,3]. physics.nist.gov /Pubs/SP811/sec05.html   (1498 words)

Heaviside-Lorentz Units Gaussian units are based on the cgs system of mechanical units, and were long dominant for theoretical investigations. This is called "rationalization" of the units, which is a convenience in theoretical studies, especially of electromagnetic waves and radiation. Therefore, to rationalize the Gaussian units, we multiply the measures of the sources by √4π, and divide the measures of the fields by the same factor. mysite.du.edu /~jcalvert/phys/hlu.htm   (990 words)

Wikinfo | Gaussian gravitational constant   (Site not responding. Last check: 2007-10-01) Carl Friedrich Gauss expressed the gravitational constant in units of the solar system rather than SI units. The benefit is that the motion of the planets can be accurately described, without exact knowledge of the scale of the solar system or the masses of the Sun and planets expressed in mundane units like those of the SI system. The value of the astronomical unit is derived from it, and is no longer defined by the actual orbit of the Earth. www.wikinfo.org /wiki.php?title=Gaussian_gravitational_constant   (354 words)

[No title] This is because the hidden unit outputs are not calculated using the weighted-sum/sigmoidal activation mechanism as in the previous chapter. When the hidden unit receptive fields are narrow, only a small fraction of the total number of units in the network will be activated for a given input x; the activated units are the ones with centers very close to the input vector in the input space. An RBF network employing 100 Gaussian hidden units and soft competition for locating the Gaussian means is capable of 87.1 percent correct classification on the 333 example test set of the vowel data after being trained with the 338 training examples (Nowlan, 1990). neuron.eng.wayne.edu /tarek/MITbook/chap6/6_1.html   (4923 words)

Centimeter gram second system of units - Wikipedia, the free encyclopedia CGS units are still occasionally encountered in older technical literature, especially in the United States in the fields of electrodynamics and astronomy. While for most units the difference between cgs and SI are just powers of 10, the differences in electromagnetic units are more involved; so much so that formulas for physical laws of EandM are adjusted depending on what system of units one uses. What this means specifically is that in cgs electrostatic units, the unit of charge or statcoulomb, is defined as such a quantity of charge that the Coulomb force constant is set to 1. en.wikipedia.org /wiki/Centimetre_gram_second_system_of_units   (1096 words)

G - Glossary of chemical terms Gaussian system of units is a hybrid system used in electromagnetic theory, which combines features of both the electrostatic cgs subsystem (esu) and electromagnetic cgs subsystem (emu). Grain (gr) is a non-SI unit of mass, equal to 64.79891 mg. Gray (Gy) is the SI derived unit of absorbed dose of radiation. www.ktf-split.hr /periodni/en/abc/g.html   (753 words)

Suggestions for the Use of SI Units in Magnetism   (Site not responding. Last check: 2007-10-01) In SI units, B and J are expressed in tesla (T), while M and H are expressed in amperes (A) per meter. That is, J and M are identical in cgs units, and B and H are the same in space. Measurements are expressed in SI units of induction (B, tesla) and magnetic dipole moment per unit volume (M, amperes per meter). geophysics.ou.edu /gravmag/readings/mag_units.html   (1471 words)

Maxwell Theory However, for historical reference, equations will also be given in Gaussian units, in which the electric fields and magnetic fields have equivalent units. In Gaussian units, electric fields are measured in statvolts, magnetic fields in gauss, and the electromagnetic force in dyne cm This system of units is no longer in widespread use, but has been utilized extensively in previous work and can be frequently found in the older literature. www-ssc.igpp.ucla.edu /personnel/russell/papers/max_mag   (904 words)

The Completed Work Units tab In order to view the logged work units for a specific location, you just have to select the SETI@home location in the tree view at the left (if the tree view is in a collapsed state, double-click on "SETI Locations"). If you leave the skymap window open and repeat the same thing with other entries, these work units will just be added to the skymap (without deleting the old from the skymap). Sigma: This parameter represents the width of the gaussian. ksetiwatch.sourceforge.net /docs/cwu-tab.html   (1192 words)

BIPM - accepted for use There are many other units of this kind, because there are many fields in which it is most convenient to express the results of experimental observations or of theoretical calculations in terms of fundamental constants of nature. Although the use of SI units is to be preferred for reasons already emphasized, authors who see a particular advantage in using these non-SI units should have the freedom to use the units that they consider to be best suited to their purpose. Since, however, SI units are the international meeting ground in terms of which all other units are defined, those who use units from Tables 8 and 9 should always give the definition of the units they use in terms of SI units. www.bipm.org /en/si/si_brochure/chapter4/4-1.html   (1367 words)

Numerical Integration: Gaussian Quadratures The Gaussian quadratures provide the flexibility of choosing not only the weighting coefficients (weight factors) but also the locations (abscissas) where the functions are evaluated. As a result, Gaussian quadratures yield twice as many places of accuracy as that of the Newton-Cotes formulas with the same number of function evaluations. Therefore, the Gaussian quadratures are not suitable for such cases. www.efunda.com /math/num_integration/num_int_gauss.cfm   (204 words)

[No title]   (Site not responding. Last check: 2007-10-01) Input color image is preprocessed to obtain a reduced resolution image containing 30 x 32 pixels, where each pixel is an integer from 0 to 255 (i.e., one byte per pixel) representing, approximately, the brightness of the pixel. Teacher output for an example image is a set of 30 output values at the 30 output units, Gaussian distributed centered on the desired steering direction d. Given actual output values from the 30 output units, a least-squares best fit of a Gaussian with variance 10 is computed. csis.pace.edu /~benjamin/courses/cs627/webfiles/neural.nets/nn.17.html   (554 words)

Unit Conversion Since most of physics uses either Gaussian or Heaviside Lorentz units, it is useful to be able to quickly convert SI equations to these units. The units of the right hand side are therefore energy/length, and we need to multiply by 1 power of c to get power. The first term on the right has units of energy/length, so it needs to be multiplied by a factor of c, the last two terms have units of energy/time, so they are fine. fermi.la.asu.edu /PHY531/units   (895 words)

[No title] Value units have a non-monotonic Gaussian activation function and exhibit a number of attractive computational properties, such as faster learning and better generalization than traditional processing units employing sigmoidal activation functions. In addition, the nature of the value unit activation function makes these units especially ameanable to analysis and interpretation after training using a variant of the backpropogation learning procedure. The hope is that once the analytic method is fully developed, it may be possible to deploy value unit networks in domains where there is no detailed understanding of input/output relationships and then use the subsequent results of analysis to develop a theoretical understanding of those domains. www.nd.com /public/appsum/app-theory.doc   (698 words)

Team Ars Technica Lamb Chop - Statistics and Benchmarking When the client is showing the "Best Gaussian" it shows the raw data as a red line, and the best gaussian fit is a white line overlay on the raw data. While processing of the first work unit was still on going, a browse through the alt.sci.seti group showed many seen the same problem. It almost seems that work unit times are more dependent on raw CPU speed, and less dependent on CPU cache size and memory bandwidth. www.teamlambchop.com /tips/v30.htm   (2531 words)

ImageMagick: Command-line Options Image resolution provides the unit of measure to apply when rendering to an output device or raster image. The default unit of measure is in dots per inch (DPI). For example, if you want to automatically trim the edges of an image with -trim but the image was scanned and the target background color may differ by a small amount. imagemagick.org /script/command-line-options.php   (11056 words)

[No title]   (Site not responding. Last check: 2007-10-01) ] A combination of the electrostatic and electromagnetic systems of units (esu and emu), in which electrostatic quantities are expressed in esu and magnetic and electromagnetic quantities in emu, with appropriate use of the conversion constant c (the speed of light) between the two systems. At a point on a surface the product of the principal curvatures is an invariant of the surface, called the Gaussian curvature. A sheer, loosely woven textile fabric similar to cheesecloth; used for surgical dressings. www.accessscience.com /Dictionary/G/G5/DictG5.html   (1293 words)

Model Files Many of these files have Gaussian grid data fields which in version 2 of the AGCM are oriented as follows: the first value location is centered on the Prime (Greenwich) Meridian at the first Gaussian latitude located just north of the South Pole. The next values are located at the same Gaussian latitude and proceed eastward until the entire Gaussian latitude is encompassed. Six tables (files with units 34 thru 39) are used to convert model output to the units that the user wants. grads.iges.org /agcm/new/filesv22x.htm   (2104 words)

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