6.27.24 Truncating to order n: truncate
The truncate command truncates a polynomial; i.e., it removes
higher order terms.
-
truncate takes two arguments:
-
P, a polynomial.
- n, an integer.
- truncate(P,n) returns
P truncated to order n; i.e., all terms of
order greater or equal to n+1 are removed.
truncate may be used to transform a series
expansion into a polynomial or to compute a series expansion step by
step.
Examples.
-
Input:
truncate((1+x+x^2/2)^3,4)
Output:
| 9 x4+16 x3+18 x2+12 x+4 |
|
4 |
|
- Input:
truncate(series(sin(x)),4)
Output:
Note that the returned polynomial is normalized.