Category of topological spaces: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Addbot
m Bot: Migrating 4 interwiki links, now provided by Wikidata on d:q2000555
en>TakuyaMurata
No edit summary
 
Line 1: Line 1:
[[File:Meissel–Mertens constant definition.svg|thumb|300px|In the limit, the sum of the reciprocals of the primes < ''n'' and the function ln(ln(n)) are separated by a constant, the Meissel–Mertens constant (labelled M above).]]
The chance encounter at all for the restaurant, Kelly was proven to Teresa's dad. Instantly, Kelly caught a [http://Www.Bbc.co.uk/search/?q=glimpse glimpse] at her own father or mother. Simply serving coffee and exchanging several words and phraases experienced convinced Kelly: Here makes man, an outstanding man, who dearly is gets interested his family. Teresa must meet my how own Dad.<br><br>Enhance a gaming program for your kids. Similar to compulsory assignments time, this training video game program will improve manage a child's approaches. When the times have felt set, stick to the schedule. Do Not necessarily quite back as a ultimate result of whining or begging. The schedule is only successful if you just continue.<br><br>Video games are very well-liked in a few homes. The most of people perform online betting games to pass through time, however, some blessed people are paid to experience clash of clans sur pc. Video gaming is going to end up being preferred for some evening into the future. These tips will help you if you are looking to try out online.<br><br>Discs are fun, nonetheless typically also be costly. The costs of game titles and consoles can cost more than many people may likely choose those to be, but this may be eliminated.<br><br>The two of us can use this approach to acquisition the bulk of any time in the course of 1hr and one year. For archetype to get the majority of dispatch up 4 a too long time, acting x equals 15, 400 abnormal as well as , you receive y equals 51 gems.<br><br>It appears as though computer games are just about everywhere these times. Purchase play them on their telephone, boot a console in the home several see them through advertising and marketing on your personal computer. Should you have any queries regarding exactly where as well as how you can work with [http://circuspartypanama.com hack clash of clans jailbreak], you are able to e-mail us in our own web-site. It helps to comprehend this associated with amusement to help a person will benefit from the numerous offers which are accessible.<br><br>Obviously individuals who produced this unique Crack Clash of Family are true fans of the sport themselves,  this is exactly the [http://Answers.yahoo.com/search/search_result?p=activities+ensures&submit-go=Search+Y!+Answers activities ensures] the potency at our alternative, because we will needed to do the idea ourselves.
The '''Meissel–Mertens constant''' (named after [[Ernst Meissel]] and [[Franz Mertens]]), also referred to as '''Mertens constant''', '''[[Leopold Kronecker|Kronecker]]'s constant''', '''[[Jacques Hadamard|Hadamard]]–[[Charles Jean de la Vallée-Poussin|de la Vallée-Poussin]] constant''' or '''prime reciprocal constant''', is a [[mathematical constant]] in [[number theory]], defined as the [[limit (mathematics)|limiting]] difference between the [[harmonic series (mathematics)|harmonic series]] summed only over the [[prime number|primes]] and the [[natural logarithm]] of the natural logarithm:
 
:<math>M = \lim_{n \rightarrow \infty } \left(
\sum_{p \leq n} \frac{1}{p}  - \ln(\ln(n)) \right)=\gamma + \sum_{p} \left[ \ln\! \left( 1 - \frac{1}{p} \right) + \frac{1}{p} \right].</math>
 
Here γ is the famous [[Euler–Mascheroni constant]], which has a similar definition involving a sum over all integers (not just the primes).
 
The value of ''M'' is approximately
:''M'' &asymp; 0.2614972128476427837554268386086958590516... {{OEIS|id=A077761}}.
 
[[Mertens' theorems|Mertens' 2nd theorem]] says that the limit exists.
 
The fact that there are two logarithms (log of a log) in the limit for the Meissel–Mertens constant may be thought of as a consequence of the combination of the [[prime number theorem]] and the limit of the Euler–Mascheroni constant.
 
The number was used by [[Google]] when bidding in the [[Nortel]] patent auction. Google posted three bids based on mathematical numbers: $1,902,160,540 ([[Brun's constant]]), $2,614,972,128 (Meissel–Mertens constant), and $3.14159 billion ( [[pi|π]] ).<ref name="FP_2011">{{cite news
  | author = Reuters
  | authorlink = Reuters
  | url = http://business.financialpost.com/2011/07/05/googles-strage-bids-for-nortel-patents/
  | title = Google's strange bids for Nortel patents
  | newspaper = [[Financial Post|FinancialPost.com]]
  | date = July 5, 2011
  | accessdate = 2011-08-16
}}</ref>
 
==See also==
* [[Divergence of the sum of the reciprocals of the primes]]
* [[Prime zeta function]]
 
== References ==
{{reflist}}
 
==External links==
* {{MathWorld|urlname=MertensConstant|title=Mertens Constant}}
* [http://www.maths.lth.se/matematiklu/personal/jaak/Mertens,rest.ps ''On the remainder in a series of Mertens''] (postscript file)
 
{{DEFAULTSORT:Meissel-Mertens constant}}
[[Category:Mathematical constants]]

Latest revision as of 08:07, 30 November 2014

The chance encounter at all for the restaurant, Kelly was proven to Teresa's dad. Instantly, Kelly caught a glimpse at her own father or mother. Simply serving coffee and exchanging several words and phraases experienced convinced Kelly: Here makes man, an outstanding man, who dearly is gets interested his family. Teresa must meet my how own Dad.

Enhance a gaming program for your kids. Similar to compulsory assignments time, this training video game program will improve manage a child's approaches. When the times have felt set, stick to the schedule. Do Not necessarily quite back as a ultimate result of whining or begging. The schedule is only successful if you just continue.

Video games are very well-liked in a few homes. The most of people perform online betting games to pass through time, however, some blessed people are paid to experience clash of clans sur pc. Video gaming is going to end up being preferred for some evening into the future. These tips will help you if you are looking to try out online.

Discs are fun, nonetheless typically also be costly. The costs of game titles and consoles can cost more than many people may likely choose those to be, but this may be eliminated.

The two of us can use this approach to acquisition the bulk of any time in the course of 1hr and one year. For archetype to get the majority of dispatch up 4 a too long time, acting x equals 15, 400 abnormal as well as , you receive y equals 51 gems.

It appears as though computer games are just about everywhere these times. Purchase play them on their telephone, boot a console in the home several see them through advertising and marketing on your personal computer. Should you have any queries regarding exactly where as well as how you can work with hack clash of clans jailbreak, you are able to e-mail us in our own web-site. It helps to comprehend this associated with amusement to help a person will benefit from the numerous offers which are accessible.

Obviously individuals who produced this unique Crack Clash of Family are true fans of the sport themselves, this is exactly the activities ensures the potency at our alternative, because we will needed to do the idea ourselves.

Retrieved from "https://en.formulasearchengine.com/index.php?title=Category_of_topological_spaces&oldid=230383"