11.1.24 Truncating to order n
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
| truncate((1+x+x^2/2)^3,4) |
|
| |
| | 9 x4+16 x3+18 x2+12 x+4 |
|
| 4 |
|
| | | | | | | | | | |
|
| truncate(series(sin(x)),4) |
Note that the returned polynomial is normalized.