Difference between revisions of "Manuals/calci/PARTP"

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(Created page with "<div style="font-size:30px">'''PARTP (n,k)'''</div><br/> *<math>n</math> and <math>k</math>are any integers. ==Description== *This function shows the number of partitions of ...")
 
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<div style="font-size:30px">'''PARTP (n,k)'''</div><br/>
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=PARTP (n,k)=
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where
 
*<math>n</math> and <math>k</math>are any integers.
 
*<math>n</math> and <math>k</math>are any integers.
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PARTP() shows the number of partitions of a given number.
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==Description==
 
==Description==
*This function shows the number of partitions of a given number.
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*In <math>PARTP (n,k)</math>,<math>n</math> is any integer.<math>k</math> is the number of ways.
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PARTP(n,k)
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*<math>n</math> is any integer.<math>k</math> is the number of ways.
 
*A partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.  
 
*A partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.  
 
*Two sums that differ only in the order of their summands are considered the same partition.
 
*Two sums that differ only in the order of their summands are considered the same partition.

Revision as of 15:51, 4 January 2018

PARTP (n,k)

where

  • and are any integers.

PARTP() shows the number of partitions of a given number.


Description

PARTP(n,k)

  • is any integer. is the number of ways.
  • A partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.
  • Two sums that differ only in the order of their summands are considered the same partition.
  • By convention, partitions are usually ordered from largest to smallest.
  • Partition of a number is also called the number of unrestricted partition.
  • When explicitly listing the partitions of a number n, the simplest form is the so-called natural representation which simply gives the sequence of numbers in the representation.
  • The multiplicity representation instead gives the number of times each number occurs together with that number.

Examples

  1. PARTP(10,3) = 8
  2. PARTP(54,10) = 29292

See Also


References