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In mathematics, '''Kummer's theorem on binomial coeffients''' gives the highest power of a [[prime number]] ''p'' dividing a [[binomial coefficient]]. In particular, it asserts that given [[integer]]s ''n''&nbsp;≥&nbsp;''m''&nbsp;≥&nbsp;0 and a prime number ''p'', the maximum integer ''k'' such that ''p''<sup>''k''</sup> divides the binomial coefficient <math>\tbinom n m </math> is equal to the number of [[carry (arithmetic)|carries]] when ''m'' is added to ''n''&nbsp;&minus;&nbsp;''m'' in [[radix|base]]&nbsp;''p''.
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The theorem is named after [[Ernst Kummer]], who proved it in the paper {{harvtxt|Kummer|1852}}.
 
==See also==
* [[Lucas's theorem]] on binomial coefficients
 
== External links ==
* {{PlanetMath|urlname=KummersTheorem|title=Kummer's theorem}}
 
==References==
* {{cite journal
|last=Kummer
|first=Ernst
|title=Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen
|journal=Journal für die reine und angewandte Mathematik
|year=1852
|volume=44
|pages=93–146}}
 
[[Category:Theorems in number theory]]

Revision as of 09:03, 5 February 2014



Many ladies when they are courting would like to find a wealthy man to date. This is 1 of the things that many younger ladies wish to do when searching at on-line dating sites. There are websites that focus in hooking young women up with wealthy sugar daddies,and these are some of the websites you ought to regular if you are looking to day a wealthy, rich guy.



Bear in mind that not all sugar daddy, sugar baby associations are made in heaven. Some men are simply out for sexual favors, and are looking to have a quickie, before their spouse finds out. Some may really be good catches that are searching for love, so it pays to really appear at the caliber of men that are on the site you choose. Pay interest to what they say they are looking for.

Be particular that you talents stand out. Sugar daddies are intrigued in someone who is well rounded and who has many passions and talents. It is regular that these men are cultured, and they are in search of another person that will share the same interests as them. It doesn't make a difference what your hobbies are, make certain that you let them know. Like with any normal partnership, a sugar daddy partnership usually starts with a typical curiosity.

How many times have you clicked on a profile and noticed a image that was grainy and seemed like it was an old snap shot from 1980's? Then when you satisfy a sugar daddy or sugar baby and they are twenty lbs. overweight, older than stated, unsightly, no hair, searching nothing like the image in the profile. I have even listened to cases where people use an additional individual's picture on their profile just to meet people! Use current pictures, NO Photoshop. Courting is difficult enough as it is, don't idiot your date into considering you are Brad Pitt or Halle Berry. Men typically like to date appealing sugar babies. Ladies ought to appear great and emphasize their other attributes, you don't have to look perfect but sugar daddies don't want somebody obese both.

Now that you are certain you wish to take your sugar baby on a cruise, the subsequent stage is to determine out exactly where to go. There are numerous stunning places to sail absent to that will stoke the flames of romance. Hawaii is a leading choice for many going on a cruise holiday. As a favorite intimate holiday spot for sugar daddy dating partners, this stunning island always guarantees a fantastic time. In order to get to the ship, you'll initial have to fly to a port of call metropolis. You can always go additional into the South Pacific and visit the amazing Tahitian islands.

For 1, it's a good location to discover a wealthy sugar daddy. Also you will get to meet interesting people and something that issues. You don't want to point out this to your sugar daddy on the initial day, let it be something he will find out later on. Something to seal the bond, a good thing about you that you didn't brag about but he found later on.

Publish a photo that illustrates you have course. Most of these men are older and had been elevated when mores were more subdued. Instead of be attracted, they might rapidly be turned off by something they think about inexpensive or too titillating. These men are in need of somebody that they can take to stylish features and company occasions. They want an person that is going to merge and would be embarrassed if you flip up in a mini skirt. You will need to look relaxed, bubbly and of program, smiling in the picture that you use.

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