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16.1 Notation

A DAE is defined by a set of expressions for the residuals of differential equations and algebraic equations r(y,y,t,θ), and consistent initial conditions y(t0,θ)=y0,y(t0,θ)=y0. The DAE is define by residual function as r(y,y,t,θ)=0. The θ dependence is included in the notation to highlight that the solution y(t) is a function of any parameters used in the computation.