Changes
Jump to navigation
Jump to search
← Older edit
Newer edit →
Manuals/calci/PASCALTRIANGLE
(view source)
Revision as of 07:57, 22 January 2014
25 bytes added
,
07:57, 22 January 2014
→Description
Line 4:
Line 4:
==Description==
==Description==
*This function gives the Coefficients of the Pascal triangle.
*This function gives the Coefficients of the Pascal triangle.
−
*In <math>PASCALTRIANGLE(r)</math> , r is the row number of the Pascal triangle.
+
*In <math>PASCALTRIANGLE(r)</math> ,
<math>
r
</math>
is the row number of the Pascal triangle.
*Pascal triangle is the arrangement of numbers of the Binomial coefficients in a triangular shape.
*Pascal triangle is the arrangement of numbers of the Binomial coefficients in a triangular shape.
−
*It is started with the number 1 at the top in the 1st row.
+
*It is started with the number
<math>
1
</math>
at the top in the 1st row.
*Then from the 2nd row each number in the triangle is the sum of the two directly above it.
*Then from the 2nd row each number in the triangle is the sum of the two directly above it.
−
*The construction is related to the
binomial coefficients
by Pascal's rule is :
+
*The construction is related to the
Binomial Coefficients
by Pascal's rule is :
−
<math>(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k} .y^k </math>.
where <math> \dbinom{n}{k}</math> is the binomial coefficient.
+
<math>(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k} .y^k </math>.
+
where <math> \dbinom{n}{k}</math> is the binomial coefficient.
*This function will return the result as error when <math> r \le 0</math>.
*This function will return the result as error when <math> r \le 0</math>.
Abin
writer
5,435
edits
Navigation menu
Personal tools
Log in
Namespaces
Page
Discussion
Variants
Views
Read
View source
View history
More
Search
Navigation
Main page
Community portal
Current events
Recent changes
Help
Tools
ZCubes Web Platform
Printable version