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depvar.rst

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depvar()

Define dependent variables to define integral inequalities in QUINOPT.

Syntax

U = depvar(x)

Description

sets up a symbolic variable modelling a generic function U(x), where x is a valid independent variable with domain [a, b] created with the command indvar. U behaves like a function handle, and is used with the syntax

U(POINT)

where POINT is either the independent variable x, the lower extremum a of the domain of U, or the upper extremum b of the domain of U. Moreover, derivatives of U can be created/accessed using the syntax

U(POINT,DERIVATIVE)

where POINT is x, a or b and DERIVATIVE is the desired derivative order. Note that U(POINT,0) is equivalent to U(POINT).

Syntax

[U1,U2,...Uq] = depvar(x)

Description

sets up multiple dependent variables, U1, ..., Uq. Each dependent variable depends on the independent variable x.

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