Difference between revisions of "Manuals/calci/PARTP"

Latest revision as of 12:58, 11 March 2019

PARTP (n,k)

where

and are any integers.
- PARTP() shows the number of partitions of a given number.

PARTP(n,k)

$n$ is any integer. $k$ 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.

@@ Line 1: / Line 1: @@
 <div style="font-size:30px">'''PARTP (n,k)'''</div><br/>
+where
 *<math>n</math> and <math>k</math>are any integers.
+**PARTP() shows the number of partitions of a given number.
 ==Description==
-*This function shows the number of partitions of a given number.
-*In <math>PARTP (n,k)</math>,<math>n</math> is any integer.<math>k</math> is the number of ways.
+PARTP(n,k)
+*<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.
 *Two sums that differ only in the order of their summands are considered the same partition.
@@ Line 15: / Line 20: @@
 # PARTP(10,3) = 8
 # PARTP(54,10) = 29292
+==Related Videos==
+{{#ev:youtube|v=XN3Vy2M5ov8|280|center|Partitions}}
 ==See Also==