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

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© djmw 19990608