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{{Infobox actor
{{otheruses4|the concept in number theory|the ''Star Trek: Voyager'' episode|Prime Factors}}
| name = Ayda Field
| image =
| caption =
| birthdate = {{Birth date and age|1979|5|17}}
| birthplace = [[Los Angeles]], [[California]]
}}


'''Ayda Field''' (born [[May 17]], [[1979]]) is an American television actress. Field was born '''Ayda S. Evecan''' in [[Los Angeles]], [[California]].
In [[number theory]], the '''prime factors''' of a positive [[integer]] are the [[prime number]]s that divide into that integer exactly, without leaving a remainder. The process of finding these numbers is called [[integer factorization]], or prime factorization.


Field first became known on the [[NBC]] [[soap opera]] ''[[Days of Our Lives]]'', but has subsequently specialised in comedy roles.
For a prime factor ''p'' of ''n'', the '''multiplicity''' of ''p'' is the largest exponent ''a'' for which ''p<sup>a</sup>'' divides ''n''. The [[integer factorization|prime factorization]] of a positive integer is a list of the integer's prime factors, together with their multiplicity. The [[fundamental theorem of arithmetic]] says that every positive integer has a unique prime factorization.
She was a regular on ''[[Blue Collar TV]]'', guest starred in the sitcom [[Eve (TV series)|Eve]] and appeared as [[List of Studio 60 on the Sunset Strip characters|Jeannie Whatley]] on [[NBC]]'s ''[[Studio 60 on the Sunset Strip]]''.


On the [[FOX]] [[sitcom]] ''[[Back to You]]'' she played Montana Diaz Herrera (a.k.a. Sally Lerner), News 9's weatherwoman. She appeared in 10 episodes of season one and she was fired from the News cast in the episode "The New Boss".
For a positive integer ''n'', the ''number'' of prime factors of ''n'' and the ''sum'' of the prime factors of ''n'' (not counting multiplicity) are examples of [[arithmetic function]]s of ''n'' that are [[additive function|additive]] but not completely additive.


Field also joined the cast of a [[sitcom]] [[television pilot|pilot]], ''Making It Legal'', as a lawyer named Elise. [[American Broadcasting Company|ABC]] did not pick up the pilot.<ref name="futonmakingitlegal">{{cite web |url=http://www.thefutoncritic.com/devwatch.aspx?id=untitled_sachs_and_judah_project |title=UNTITLED SACHS & JUDAH PROJECT (ABC) |accessdate=2007-09-30 }}</ref>
Determining the prime factors of a number is an example of a problem frequently used to ensure cryptographic security in [[encryption]] systems; this problem is believed to require [[super-polynomial time]] in the number of digits- it is relatively easy to construct a problem that would take longer than the known [[age of the Universe]] to calculate on current computers using current algorithms.


In June 2008 she was cast for the female lead on [[American Broadcasting Company|ABC]]'s untitled David Kohan/Max Mutchnick comedy pilot, replacing [[Sarah Lafleur]]. <ref>[http://www.hollywoodreporter.com/hr/content_display/television/news/e3id5f52df31901946c4611e25d451f87c8 Ayda Field joins ABC comedy<!-- Bot generated title -->]</ref>
Two positive integers are [[coprime]] [[if and only if]] they have no prime factors in common. The integer 1 is coprime to every positive integer, including itself. This is because it has no prime factors; it is the [[empty product]]. It also follows from defining a and b as coprime if gcd(a,b)=1, so that gcd(1,b)=1 for any b>=1. [[Euclid's algorithm]] can be used to determine whether two integers are coprime without knowing their prime factors; the algorithm runs in a time that is polynomial in the number of digits involved.


She is the girlfriend of British singer [[Robbie Williams]]. <ref>[http://www.dailystar.co.uk/goss/view/49519/Robbie-the-recluse/]</ref> <ref>[http://www.abovetopsecret.com/forum/thread389179/pg1]</ref> <ref>[http://www.dailymail.co.uk/tvshowbiz/article-1029337/Unlucky-love-Robbie-Williams-loses-splitting-latest-girlfriend.html]</ref>
== Examples ==
* The prime factors of 6 are 2 and 3 (6 = 2&nbsp;&times;&nbsp;3). Both have multiplicity 1.
* 5 has only one prime factor: itself (5 is prime). It has multiplicity 1.
* 100 has two prime factors: 2 and 5 (100 = 2<sup>2</sup>&nbsp;&times;&nbsp;5<sup>2</sup>). Both have multiplicity 2.
* 2, 4, 8, 16, etc. each have only one prime factor: 2. (2 is prime, 4 = 2<sup>2</sup>, 8 = 2<sup>3</sup>, etc.)
* 1 has no prime factors. (1 is a unit)boobies


== See also ==
==References==
{{reflist}}
* [[Divisor]]
==External links==
* [[Composite number]]
*{{imdb name|id=0275892|name=Ayda Field}}
* [[Table of prime factors]]


{{DEFAULTSORT:Field, Ayda}}
== External links ==
[[Category:1979 births]]
* [http://people.revoledu.com/kardi/tutorial/BasicMath/Prime/PrimeFactor.htm Prime factors using spreadsheet]
[[Category:American film actors]]
* [http://www.btinternet.com/~se16/js/factor.htm A Javascript Prime Factor Calculator. Can handle numbers up to about 9&times;10<sup>15</sup>]
[[Category:American television actors]]
* [http://www.alpertron.com.ar/ECM.HTM Java applet: Factorization using the Elliptic Curve Method finding factors with 20+ digits]
[[Category:Turkish Americans]]
* [http://naturalnumbers.org/composites.html Lists of composites with prime factorization (first 100, first 1000, first 10,000, first 100,000, and first 1,000,000).]
[[Category:Living people]]


{{US-film-actor-1970s-stub}}
[[Category:Prime numbers]]
{{US-tv-actor-1970s-stub}}


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[[pt:Ayda Field]]
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[[es:Factor primo]]
[[eo:Prima faktoro]]
[[it:Fattore primo]]
[[he:מחלק]]
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[[ja:素因数]]
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[[pl:Czynniki pierwsze]]
[[pt:Fator primo]]
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[[uk:Факторизація]]
[[zh:質因子]]

Revision as of 03:13, 10 October 2008

Ayda Field

Ayda Field (born May 17, 1979) is an American television actress. Field was born Ayda S. Evecan in Los Angeles, California.

Field first became known on the NBC soap opera Days of Our Lives, but has subsequently specialised in comedy roles. She was a regular on Blue Collar TV, guest starred in the sitcom Eve and appeared as Jeannie Whatley on NBC's Studio 60 on the Sunset Strip.

On the FOX sitcom Back to You she played Montana Diaz Herrera (a.k.a. Sally Lerner), News 9's weatherwoman. She appeared in 10 episodes of season one and she was fired from the News cast in the episode "The New Boss".

Field also joined the cast of a sitcom pilot, Making It Legal, as a lawyer named Elise. ABC did not pick up the pilot.[1]

In June 2008 she was cast for the female lead on ABC's untitled David Kohan/Max Mutchnick comedy pilot, replacing Sarah Lafleur. [2]

She is the girlfriend of British singer Robbie Williams. [3] [4] [5]

References

  1. ^ "UNTITLED SACHS & JUDAH PROJECT (ABC)". Retrieved 2007-09-30.
  2. ^ Ayda Field joins ABC comedy
  3. ^ [1]
  4. ^ [2]
  5. ^ [3]

External links