Sentence examples for function is assumed to from inspiring English sources

The utility function is assumed to have the following functional form: begin{aligned} U hat{c}_{t}^{i},x_{t+1}^{i},b_{t+1}^{i})=ln left( hat{c}_{t}^{i}right) +beta ln left( x_{t+1}^{i}right) +rho ln left( b_{t+1}^{i}right),quad text {with }beta>0text { and~}rho >0.

A concrete example is given when the material distribution function is assumed to be piecewise linear.

Dynamic yield function is assumed to be a function of strain rate.

Let, then the function is assumed to be Caratheodory; by this we mean that.

The activation function is assumed to satisfy a sector-bounded condition.

The distribution function is assumed to be constant in each cell (C_{alpha}).

This function was assumed to be well-behaved.

We work on plants modelled via continuous-time nonlinear uncertain systems, where the uncertainty and the fault function are assumed to be random processes.

The strain dependent function was described by a nine-parameter Mooney Rivlin model whereas the time function was assumed to follow a Prony series.

The elastic and viscous potentials that defined the free energy function were assumed to be decoupled, thus facilitating the identification process.

The utility function was assumed to be log-normally distributed due to the attenuation caused by shadowing or slow fading in the wireless communication.