Description
This programme uses Euclidean space theory to find the polynominal of given degree which best approximates a given function in the sense that the squared integral of the error is least. In some cas...es the approximation can be as accurate as one pleases by taking a polynomial of sufficiently high degree.
This programme uses Euclidean space theory to find the polynominal of given degree which best approximates a given function in the sense that the squared integral of the error is least. In some cas...es the approximation can be as accurate as one pleases by taking a polynomial of sufficiently high degree.
| Module code and title: | M201, Linear mathematics |
|---|---|
| Item code: | M201; 19 |
| First transmission date: | 28-05-1972 |
| Published: | 1972 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:22:22 |
| + Show more... | |
| Director: | Vivienne King |
| Producer: | Peter Montagnon |
| Contributor: | Ian Dey |
| Publisher: | BBC Open University |
| Keyword(s): | Approximation; Error reduction; Function spaces; Geometrical analogy; Least squares; Legendre Polynomial; Taylor Series |
| Master spool number: | 6LT/70378 |
| Production number: | 00521_2437 |
| Videofinder number: | 639 |
| Available to public: | no |