Noriko Yui: Difference between revisions

Revision as of 00:42, 1 October 2013

The Einasto profile (or Einasto model) is a mathematical function that describes how the density $\rho$ of a spherical stellar system varies with distance $r$ from its center. Jaan Einasto introduced his model at a 1963 conference in Alma-Ata, Kazakhstan.^[1]

The Einasto profile has the form

\rho (r)\propto \exp {(-Ar^{\alpha })}.

The parameter $\alpha$ controls the degree of curvature of the profile. This can be seen by computing the slope on a log-log plot:

d\ (\log \rho )/d\ (\log r)\propto -r^{\alpha }.

The larger $\alpha$ , the more rapidly the slope varies with radius (see figure). Einasto's law can be described as a generalization of a power law, $\rho \propto r^{-N}$ , which has a constant slope on a log-log plot.

Einasto's model has the same mathematical form as Sersic's law, which is used to describe the surface brightness (i.e. projected density) profile of galaxies.

Einasto's model has been used to describe many types of system, including galaxies^[2] and dark matter halos.^[3]

References

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External links

Spherical galaxy models with power-law logarithmic slope. A comprehensive paper that derives many properties of stellar systems obeying Einasto's law.

↑ J. Einasto (1965), Kinematics and dynamics of stellar systems, Trudy Inst. Astrofiz. Alma-Ata 51, 87
↑ J. Einasto and U. Haud (1989), Galactic models with massive corona. I - Method. II - Galaxy Astron. Astrophys. 223, 89
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[1] J. Einasto (1965), Kinematics and dynamics of stellar systems, Trudy Inst. Astrofiz. Alma-Ata 51, 87

[2] J. Einasto and U. Haud (1989), Galactic models with massive corona. I - Method. II - Galaxy Astron. Astrophys. 223, 89

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Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang

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[2]

[3]

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+The '''Einasto profile''' (or '''Einasto model''') is a mathematical function that describes how the density <math>\rho</math> of a spherical stellar system varies with distance <math>r</math> from its center.  [[Jaan Einasto]] introduced his model at a 1963 conference in [[Alma-Ata]], Kazakhstan.<ref>[[Jaan Einasto|J. Einasto]] (1965), Kinematics and dynamics of stellar systems, ''Trudy Inst. Astrofiz. Alma-Ata'' '''51''', 87</ref>
+[[Image:Einasto.jpg|thumb|left|Einasto profiles.]]
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+The Einasto profile has the form
+:<math>
+\rho(r) \propto \exp{(-Ar^\alpha)} .
+</math>
+The parameter <math>\alpha</math> controls the degree of curvature of the profile. This can be seen by computing the slope on a log-log plot:
+:<math>
+d\ (\log\rho)/d\ (\log r) \propto -r^{\alpha} .
+</math>
+The larger <math>\alpha</math>, the more rapidly the slope varies with radius (see figure). Einasto's law can be described as a generalization of a power law, <math>\rho\propto r^{-N}</math>, which has a constant slope on a log-log plot.
+Einasto's model has the same mathematical form as [[Sersic's law]], which is used to describe the surface brightness (i.e. projected density) profile of galaxies.
+Einasto's model has been used to describe many types of system, including [[galaxy|galaxies]]<ref>[[Jaan Einasto|J. Einasto]] and U. Haud (1989), [http://adsabs.harvard.edu/abs/1989A%26A...223...89E  Galactic models with massive corona. I - Method. II - Galaxy] ''Astron. Astrophys.'' '''223''', 89</ref> and [[dark matter halo]]s.<ref>{{cite journal
+ | last1 = Merritt  | first1 = David | authorlink1 = David Merritt | last2 = Graham
+ | first2 = Alister | last3 = et al. | year = 2006
+ | title = Empirical Models for Dark Matter Halos | journal = The Astronomical Journal
+ | volume = 132 | issue = 6 | pages = 2685–2700 | arxiv = astro-ph/0509417
+ | bibcode = 2006AJ....132.2685M | doi = 10.1086/508988
+ | url = http://adsabs.harvard.edu/abs/2006AJ....132.2685M}}</ref>
+== References ==
+{{reflist}}
+== External links ==
+*[http://adsabs.harvard.edu/abs/2005MNRAS.358.1325C Spherical galaxy models with power-law logarithmic slope]. A comprehensive paper that derives many properties of stellar systems obeying Einasto's law.
+[[Category:Astrophysics]]

Noriko Yui: Difference between revisions

Revision as of 00:42, 1 October 2013

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