Polynomial

One of the types of objects in Praat.

An object of type Polynomial represents a polynomial function on a domain.

A polynomial of degree n is defined as:

p(x) = c1 + c2 x + c3 x2 + ... cn+1 xn.

The real numbers ck are called the polynomial coefficients.

## Commands

Creation

  • Create Polynomial... (in the New menu)
  • LPC: To Polynomial (slice)... (from prediction coefficients)
  • LegendreSeries: To Polynomial
  • ChebyshevSeries: To Polynomial

Drawing

  • Draw...

Queries

  • Get function value...: get p(x)
  • Get coefficient value...: get ci
  • Get minimum...: minimum of p(x) on an interval
  • Get x of minimum...
  • Get maximum...: maximum of p(x) on an interval
  • Get x of maximum...
  • Get area...

Modification

  • Set domain...: new domain
  • Set coefficient value...: change one coefficient

Conversion

  • To Spectrum... (evaluation over unit-circle)
  • To Polynomial (derivative)
  • To Polynomial (primitive)
  • To Roots: roots of polynomial

### Links to this page

- Polynomial: Scale x...
- Polynomials: Multiply
- Roots
- What was new in 3.9?