POLY

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The POLY function evaluates a standard polynomial at a user-specified value x.

Format

POLY (x, x0, a0, a1,..., a30)

Arguments

x A real variable that specifies the independent variable. For example, if the independent variable in the function is time, x is the system variable TIME.
x0 A real variable that specifies a shift in the polynomial.
a0, a1,..., a30 The real variables that define as many as thirty-one coefficients for the polynomial series.

Extended Definition

The POLY function evaluates a standard polynomial at a user-specified value x. x0, a0, a1,..., a30 are parameters used to define the constants for the polynomial. The standard polynomial is defined as:

The index j has a range from zero to n, where n is the number of terms in the series.

Examples

POLY(TIME, 0, 0, 0, 1)

This function is a quadratic polynomial function with respect to the system variable TIME to define a motion. That expanded function is:

Poly = time2

IF(TIME-5: 0, 0, POLY(TIME, 5, 0, 10))

This function uses an arithmetic IF to switch between functions.

The expanded function is:

if (time > 5) then Poly=0

else Poly=10*time-5

-POLY(DM(10, 20), 10, 0, 25, 0, 0.75)

This function defines a force with a nonlinear force deformation characteristic. This relationship is:

Poly=-25*[DM(10,20)-10]- 0.75*[DM(10,20)-10]3

where, DM(10,20) represents the magnitude of the displacement of Marker 10 with respect to Marker 20. The free length of the spring is 10 units.

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