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{{Other uses}}
My name is Felix and I am studying Mathematics and Math at Kobenhavn V / Denmark.<br><br>my web page ... [http://www.youtube.com/watch?v=Bpw213ql-QU advertising]
{{Wiktionary|Ρ|ρ}}
{{Greek Alphabet|letter=rho}}
'''Rho''' ({{IPAc-en|'|r|oʊ}}; uppercase '''Ρ''', lowercase '''ρ''' or '''{{Unicode|ϱ}}''') is the 17th letter of the [[Greek alphabet]]. In the system of [[Greek numerals]], it has a value of 100. It is derived from [[Phoenician alphabet|Phoenician letter]] res [[Image:Phoenician res.svg|20px]]. Its uppercase form is not to be confused with the [[Latin alphabet|Latin]] letter [[P]], although both are typeset using the same [[glyph]].
 
== Uses ==
[[File:NAMA Alphabet grec.jpg|thumb|The Greek alphabet on a [[black figure]] vessel, with an R-shaped rho.]]
===Greek===
Rho is classed as a [[liquid consonant]] (together with [[lambda (letter)|lambda]] and sometimes the nasals [[mu (letter)|mu]] and [[nu (letter)|nu]]), which has important implications for [[morphology (linguistics)|morphology]]. In both [[Ancient Greek|Ancient]] and [[Modern Greek]], it represents a [[alveolar trill|trilled]] or [[alveolar flap|tapped r]].
 
In [[polytonic orthography]] a rho at the beginning of a word is written with a [[rough breathing]] (equivalent to ''h'') — {{lang|grc|ῥ}} ''rh'' — and a [[gemination|double]] rho within a word is written with a [[smooth breathing]] over the first rho and a rough breathing over the second — {{lang|grc|ῤῥ}} ''rrh'' — apparently reflecting an [[Aspirated consonant|aspirated]] or [[voiceless]] pronunciation in [[Ancient Greek]], hence the various Greek-derived English words that start with ''rh'' or contain ''rrh''.
 
The name of the letter is written in Greek as {{lang|grc|ῥῶ}} (polytonic) or ρω/[[wikt:ρο|ρο]] (monotonic).
 
===Other alphabets===
Letters that arose from rho include Roman [[R]] and Cyrillic [[Er (Cyrillic)|Er]] (Р).
 
=== Mathematics and science ===
The characters '''Ρ''', '''ρ''' and '''{{Unicode|ϱ}}''' are also used outside its Greek alphabetical context in [[science]] and [[mathematics]].
 
*In the [[physical sciences]] to represent:
**Densities: [[mass density]], or [[charge density]] (''ρ'')
**[[Resistivity]] (''ρ'')
**[[Rho meson]] (ρ<sup>+</sup>, ρ<sup>-</sup>, ρ<sup>0</sup>)
**[[Density matrix|General quantum states]]
**[[Hammett Equation]], ρ is used to represent the reaction constant, this is independent of the position and nature of the substituents of the benzene ring.
 
*In [[mathematics]] to represent:
**The [[radius]] in the [[Cylindrical coordinate system|cylindrical]] or [[Spherical coordinate system|spherical]] coordinate systems
**The [[Pearson product-moment correlation coefficient|correlation coefficient]] of a population parameter
**The [[spectral radius]] of a matrix <math>A</math> denoted as <math>\rho(A)</math>
**The [[plastic number]]
**The [[Greeks_%28finance%29#Rho_.CF.81|sensitivity]] to interest rates of a pricing function
**The expected return of a given policy (<math>\pi</math>) in [[reinforcement learning]], denoted <math>\rho^\pi</math>
 
*In [[economics]] to represent the discount rate of future pence cash flows
 
*In [[molecular biology]] to represent the [[Rho factor|Rho protein]] responsible for termination of RNA synthesis. In such occasions, it is often represented as {{unicode|ϱ}} ("rho symbol" U+03F1), to avoid confusion with the Latin letter ''p''
 
*In [[ecology]] to represent the population damping ratio where ρ = λ1 / |λ2|.
In [[theology]], it is used to sometimes denote the crucifixion of [[Jesus]].{{fact|date=July 2013}}
 
*In [[computer programming]]
**For [[LaTeX]], the symbols are <code>\rho</code> (<math>\rho</math>), and <code>\varrho</code> (<math>\varrho</math>) (note: <code>\Rho</code> is not defined by default)
**The lower-case rho "ρ" has a special meaning in the [[APL programming language]]
 
*In [[statistics]] to represent [[Spearman's rank correlation coefficient]], commonly known as Spearman's rho
 
*In [[Option (finance)|options]] theory to represent the rate of change of a portfolio with respect to [[interest rates]]
 
===Chi Rho===
The letter rho overlaid with [[chi (letter)|chi]] forms the ''[[Chi Rho]]'' symbol, used to represent [[Jesus Christ]].
 
===Rhodes Scholars===
Former [[Rhodes Scholar]]s are entitled to use the Greek letter rho as a designation of their status. When used, the symbol should precede the name.<ref>{{Cite news | last =  | title = Oxford University Calendar: Notes on Style | work =[[Oxford University Gazette]] | accessdate = 2011-09-08 | date = 2011-03-03 | url = http://www.ox.ac.uk/media/global/wwwoxacuk/localsites/gazette/documents/universitycalendar/style--current_for_2011.pdf }}</ref>
 
==Character encodings==
* Greek Rho<ref>Unicode Code Charts: [http://www.unicode.org/charts/PDF/U0370.pdf Greek and Coptic (Range: 0370-03FF)]</ref>
{{charmap
|03A1|name1=Greek Capital Letter Rho
|03C1|name2=Greek Small Letter Rho
|1FEC|name3=Greek Capital Letter Rho with Dasia
|1FE5|name4=Greek Small Letter Rho with Dasia
|1FE4|name5=Greek Small Letter Rho with Psili
|map2=DOS Greek|map2char1=90|map2char2=A8
|map3=DOS Greek-2|map3char1=C7|map3char2=EB
|map4=Windows 1253|map4char1=D1|map4char2=F1
|namedref1=[[TeX]]|ref1char2=\rho
}}
 
*Greek Rho symbols
{{charmap
|03F1|name1=Greek Rho Symbol
|03FC|name2=Greek Rho with Stroke Symbol
|1D29|name3=Greek Letter Small Capital Rho
|1D68|name4=Greek Subscript Small Letter Rho
|2627|name5=Chi Rho
|namedref1=[[TeX]]|ref1char1=\varrho
}}
 
* Coptic Ro
 
{{charmap
|2CA2|name1=Coptic Capital Letter Ro
|2CA3|name2=Coptic Small Letter Ro
|2CE9|name3=Coptic Symbol Chi Rho
}}
 
* Technical Symbol
 
{{charmap
|2374|name1=APL Functional Symbol Rho
}}
 
* Mathematical Rho
 
{{charmap
|1D6B8|name1=Mathematical Bold<br />Capital Rho
|1D6D2|name2=Mathematical Bold<br />Small Rho
|1D6E0|name3=Mathematical Bold<br />Rho Symbol
|1D6F2|name4=Mathematical Italic<br />Capital Rho
|1D70C|name5=Mathematical Italic<br />Small Rho
}}
 
{{charmap
|1D71A|name1=Mathematical Italic<br />Rho Symbol
|1D72C|name2=Mathematical Bold Italic<br />Capital Rho
|1D746|name3=Mathematical Bold Italic<br />Small Rho
|1D754|name4=Mathematical Bold Italic<br />Rho Symbol
|1D767|name5=Mathematical Sans-Serif<br />Bold Capital Rho
}}
 
{{charmap
|1D780|name1=Mathematical Sans-Serif<br />Bold Small Rho
|1D78E|name2=Mathematical Sans-Serif<br />Bold Rho Symbol
|1D7A1|name3=Mathematical Sans-Serif<br />Bold Italic Capital Rho
|1D7BA|name4=Mathematical Sans-Serif<br />Bold Italic Small Rho
|1D7C8|name5=Mathematical Sans-Serif<br />Bold Italic Rho Symbol
}}
 
These characters are used only as mathematical symbols. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style.
 
== See also ==
 
*[[Er (Cyrillic)|Р, р - Er (Cyrillic)]]
*[[R|R, r - Latin]]
*[[P|P, p - Latin]]
 
== References ==
<references/>
 
[[Category:Greek letters]]

Latest revision as of 01:32, 3 January 2015

My name is Felix and I am studying Mathematics and Math at Kobenhavn V / Denmark.

my web page ... advertising