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Topic: Geometrized units


  
  Unit
Cana (unit of length) A cana was a metres.
Unit cube A unit cube is a 3-dimensional cube in which all of its dimensions are 1 unit long.
Unit square The unit square in a unit interval from 0 to 1.
www.brainyencyclopedia.com /topics/unit.html   (2509 words)

  
 Physical unit - the free encyclopedia   (Site not responding. Last check: 2007-10-20)
Different systems of units are based on different choices of a set of fundamental units.
A unit is fixed by its definition, and is independent of physicalconditions such as temperature.
Whentwo different units are multiplied, the result is a new unit, referred to by the combination of the units.
www.world-knowledge-encyclopedia.com /?t=Physical_unit   (1047 words)

  
 Geometrized unit system - Wikipedia, the free encyclopedia
In physics, especially in the general theory of relativity, geometrized units or geometric units constitute a physical unit system in which all physical quantities are identified with geometric quantities such as areas, lengths, dimensionless numbers, path curvatures, or sectional curvatures.
In geometric units, every time interval is interpreted as the distance travelled by light during that given time interval.
Energy and momentum are interpreted as components of the four-momentum vector, and mass is the magnitude of this vector, so in geometric units these must all have the dimension of length.
en.wikipedia.org /wiki/Geometrized_unit_system   (694 words)

  
 Physical unit   (Site not responding. Last check: 2007-10-20)
In physics and metrology, units arestandards for measurement of physical quantities that need clear definitions to be useful.
Scientific systems of units are aformalization of the concept of weights and measures,initially developed for commercial purposes.
The most widely used system of units is the international system, or SI system, of unitsderived from the seven SI base units.
www.therfcc.org /physical-unit-62396.html   (1072 words)

  
 Physical Unit [Definition]   (Site not responding. Last check: 2007-10-20)
Scientific systems of units are a formalization of the concept of weights and measures The definition, agreement and practical use of units of weights and measures have played a crucial role in human endeavor from early ages up to this day.
Geometrized units In physics, especially in the general theory of relativity, geometrized units or sometimes geometric units, is a physical unit system in which all physical quantities are expressed in the unit of length: meter.
In formulas the unit [ Q ] can be treated as if it was a kind of physical dimension : see dimensional analysis Dimensional analysis is a mathematical tool often applied in physics, chemistry, and engineering to simplify a problem by reducing the number of variables to the smallest number of "essential" parameters.
www.wikimirror.com /Physical_unit   (2371 words)

  
 Physical unit
Scientific systems of units are a formalization of the concept of weights and measures, initially developed for commercial purposes.
Different systems of units are based on different choices of a set of fundamental units.\nThe most widely used system of units is the international system, or SI system, of units derived from the seven SI base units.
When two different units are multiplied, the result is a new unit, referred to by the combination of the units.
encyclopedia.codeboy.net /wikipedia/p/ph/physical_unit.html   (1133 words)

  
 Physical unit - Indopedia, the Indological knowledgebase
In physics and metrology, units are standards for measurement of physical quantities that need clear definitions to be useful.
The most widely used system of units is the international system, or SI system, of units derived from the seven SI base units.
Conversion of units involves comparison of different standard physical values, either of a single physical quantity or of a physical quantity and a combination of other physical quantities.
www.indopedia.org /Physical_unit.html   (1205 words)

  
 Geometrized unit system
In physics, especially in the general theory of relativity, geometrized units or sometimes geometric units, is a physical unit system in which all physical quantities are expressed in the unit of length: meter.
In this system, the speed of light c and the gravitational constant G are set to one, c = 1 and G = 1 (and sometimes also Boltzmann constant k = 1).
A time interval is in geometrical units expressed in meters, the distance travelled by light in that interval.
www.brainyencyclopedia.com /encyclopedia/g/ge/geometrized_unit_system.html   (226 words)

  
 Geometrized unit system - Term Explanation on IndexSuche.Com   (Site not responding. Last check: 2007-10-20)
or sometimes geometric units, is a physical_unit system in which all physical quantities are expressed in the unit of length: ''meter''.
The Sun has a mass (in conventional units 2×1030 kg) which is expressed in ''mass-meters'' as 1.5 km.
The conversion from conventional units (kg) is mass [meters] = ''G''/''c''2 mass [kg] = 0.742 × 10-27 (m/kg) mass [kg] Other conversions are given in the table by expressing the number 1.0 in different ways.
www.indexsuche.com /Geometrized_unit_system.html   (226 words)

  
 Early Philosophical Interpretations of General Relativity
A consensus emerged among nearly all leading theoretical physicists that while the geometrical unification of the gravitation and electromagnetic fields might be attained in formally different ways, the problem of matter, treated with undeniable empirical success by the new quantum theory, was not to be resolved within the confines of spacetime geometry.
The geometrical unifications of Weyl (1918a,b) and Eddington (1921) were above all explicit attempts to comprehend the nature of physical theory, in the light of general relativity, from systematic epistemological standpoints that were neither positivist nor realist.
In Weyl and Eddington, geometrical unification was an attempt to cast the "harmony" of the Einstein theory of gravitation in a new epistemological and explanatory light, by displaying the great field laws of gravitation and electromagnetism within the common frame of a geometrically represented objective reality.
plato.stanford.edu /entries/genrel-early   (11456 words)

  
 geometrized unit system   (Site not responding. Last check: 2007-10-20)
Geometrized unit system In physics, especially in the general theory of relativity, geometrized units or sometimes geometric units, is a physical unit system in which all physical quantities are expressed...
Physical unit In physics and metrology, units are standards for measurement of physical quantities that need clear definitions...
The most widely used system of units is the international system, or SI system, of units derived from the seven SI base...
www.wikisearch.net /geometrized+unit+system   (97 words)

  
 Physical Unit Information   (Site not responding. Last check: 2007-10-20)
In physics and metrology, units are standards for measurement of physical quantityphysical quantities that need clear definitions to be useful.
The most widely used system of units is the international system of unitsinternational system, or SI system, of units derived from the seven SI base units.
In formulas the unit [Q] can be treated as if it was a kind of physical dimension: see dimensional analysis for more on this treatment.
topicguide.com /Physical_unit.html   (1143 words)

  
 Binary-Craft   (Site not responding. Last check: 2007-10-20)
geometrized units A system of units whereby certain fundamental constants ( G, c, k, and h) are set to unity.
As a result of converting to geometrized units, all quantities are expressed in terms of a unit of distance, traditionally the cm.
gray; Gy ( after L.H. Gray, 1905-1965) The derived SI unit of absorbed dose, defined as the absorbed dose in which the energy per unit mass imparted to the matter by ionizing radiation is 1 J/kg; it thus has units of J/kg.
www.binary-craft.com /misc/laws/G.htm   (323 words)

  
 system unit   (Site not responding. Last check: 2007-10-20)
units were the same, the actual value of a unit differed from country to country, or epoch to...
For instance, the carat, still used as a unit for gems, was derived from the carob seed...
Geometrized unit system In physics, especially in the general theory of relativity, geometrized units or sometimes geometric units, is a physical unit system in which all physical quantities are expressed in the unit of length: meter.
www.wikisearch.net /system+unit   (647 words)

  
 Flash-Users List Archive: Re: [FLASH-USERS] Units   (Site not responding. Last check: 2007-10-20)
of different units adds complexity to the code it is desirable code
With this caveat, and > > > given the fact that everything is done in double precision, > > > generally I don't have any trouble doing things in CGS.
This in > > > fact is the basis for the expected future implementation of > > > code-wide systems of units.
flash.uchicago.edu /maillists_public/flash-users/0115.html   (450 words)

  
 Physical unit - Enpsychlopedia   (Site not responding. Last check: 2007-10-20)
For example, the value of a physical quantity Q is written as the product of a unit [ Q ] and a numerical factor:
In formulas the unit [ Q ] can be treated as if it was a kind of physical dimension : see dimensional analysis for more on this treatment.
just replace the original unit [ Q ]_ i with its meaning in terms of the desired unit [Q]_f, e.g.
www.grohol.com /wiki/Physical_unit   (1194 words)

  
 Re: SI UNITS   (Site not responding. Last check: 2007-10-20)
Whilst for >mathematicians the odd factor of 2 or pi are unimportant this is not >true for any sort of engineering at all, and factors of 10 (or 1000) >make a rather marked difference.
It is far easier to use than the regular Mathematica units package and contains a number of nice features such as: 1) Converting simultaneously to several compatible units.
6) A "reduced unit" facility for implementing unit systems such as atomic units or geometrized units.
www.lns.cornell.edu /spr/2000-01/msg0020733.html   (207 words)

  
 MathGroup Archive (1999/05) - Conversion to atomic units   (Site not responding. Last check: 2007-10-20)
It allows a reduced unit system to be established by specifying a set of physical constants which will be set to 1, and a complementary set of retained base SI units.
In addition a unit can be converted to any other unit if they are related by an exponentiated product of the physical constants.
It can be used, for example, to implement geometrized units used in relativity or atomic units.
hilbert.math.hr /arhive/mathgroup/1999/05/0242.html   (223 words)

  
 [No title]   (Site not responding. Last check: 2007-10-20)
But the use of units should be unobtrusive and as close to \ trivial as possible, since it is much more rewarding to concentrate on the \ physical and mathematical aspects of a problem." }], "Text"], Cell[TextData[ " This paper describes two packages which supplement the \ Miscellaneous`Units` package.
Then, a numerical function or expression without units \ is needed which means that the input and output units are implied.
The third argument is the desired output unit, in this case Meter.
home.earthlink.net /~djmp/V3UnitsTutorial.nb   (2462 words)

  
 Omnipelagos.com ~ article "Physical unit"
For example, the prefix c = 0.01, and thus cm = 0.01 × m; the prefix m = 0.001, and thus mN = 0.001 × N. There is one exception: for historical reasons, the unit of mass, kg, already contains a prefix and prefixes are not to be added to it but to g.
just replace the original unit [ Q ]_ i with its meaning in terms of the desired unit, e.g.
Online Unit Converter - Conversion of many different units
www.omnipelagos.com /entry?n=physical_unit   (1083 words)

  
 MathGroup Archive (2000/03) - Miscellaneous   (Site not responding. Last check: 2007-10-20)
Perhaps someone at WRI will inform us of their source and how often they are updated.
There are separate packages for Version 3 and Version 4, but the Version 3 package is falling behind.
Examples would be geometrized units or atomic units.
hilbert.math.hr /arhive/mathgroup/2000/03/0192.html   (378 words)

  
 Spin Effects
[Below we show how to covert from geometrized units to cgs units.] The sign is positive (negative) for spins aligned (antialigned) with the the angular momentum axis.
The conversion of angular momentum in cgs units to the dimensionless variable
is the magnitude of the spin angular momentum of the i-th body in standard cgs units ( i.e.
www.lsc-group.phys.uwm.edu /~ballen/grasp-distribution/GRASP/doc/html/node74.html   (696 words)

  
 Astron. Astrophys. 332, 1133-1141 (1998)   (Site not responding. Last check: 2007-10-20)
, and L and l are respectively the total and the azimuthal angular momenta of the photon in units of length.
All the quantities in these expressions are intended in geometrized units.
refers to one of the spatial unit 4-vectors in Eq.
aa.springer.de /papers/8332003/2301133/sc2.htm   (1180 words)

  
 Amazon.com: Books: A First Course in General Relativity   (Site not responding. Last check: 2007-10-20)
General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject.
Geometrical Methods of Mathematical Physics by Bernard Schutz
Cultivating a geometrical intuition about these strange new objects (a la MTW) is given equal or greater weight than developing skills at index manipulation.
www.amazon.com /exec/obidos/tg/detail/-/0521257700?v=glance   (1617 words)

  
 [No title]   (Site not responding. Last check: 2007-10-20)
With the regular Units package youcan¹t convert þoating point quantities to Degrees because Mathematica madethe mistake of making Degrees both a constant and a unit.
There is a BaseSI command that convertseverything to base SI units.
It will handle units in DiracDeltas, UnitStep and ArcTan.To do numerical work or plotting it is necessary to remove units one way oranother.
www.grahamkendall.net /Mathematica/A46   (7526 words)

  
 Physical unit Details, Meaning Physical unit Article and Explanation Guide
Physical unit Details, Meaning Physical unit Article and Explanation Guide
Physical unit Guide, Meaning, Facts, Information and Description
To many this is a source of mistakes and frustration; see.
www.e-paranoids.com /p/ph/physical_unit.html   (1110 words)

  
 The laws list: G   (Site not responding. Last check: 2007-10-20)
The magnetic flux normal to a closed surface is zero; no magnetic charges exist; in differential form,
A system of units whereby certain fundamental constants ( G, c, k, and h) are set to unity.
The derived SI unit of absorbed dose, defined as the absorbed dose in which the energy per unit mass imparted to the matter by ionizing radiation is 1 J / kg ; it thus has units of J / kg.
www.jfk.herts.sch.uk /class/science/sci_laws/g.htm   (355 words)

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