Sentence examples for fixed hence from inspiring English sources

The function (1.4). is decreasing with respect to on for fixed Hence, for positive real numbers and, we have (1.5).

The charge and discharge price are assumed to be fixed, hence resulting in the constant T ds and T cs.

For a given set of experiments, the molar ratio of CH4 O2 N2 is held fixed, hence fixing the adiabatic flame temperature.

Note that in the above equation, the displacements of the pixels in the neighborhood of are fixed, hence resulting in a local minimization of the Gibbs potential.

However, most of the methods presented in the literature for heat exchanger network synthesis (HENS) have assumed that plants' process stream parameters, such as supply/target temperatures and stream flowrates, are fixed, hence having a single period of operation.

The bottom nodes of the hemisphere mesh model were fixed; hence, the displacements of the bottom nodes were always set to zero. Figure 17 shows the overview of the simulation.

This situation was described by one IDU: "I cannot afford to buy needles and syringes every times whenever I fix; hence I re-use my old needles and syringes by cleaning them with spirit or plain water".

In the following simulations, we consider the fixed sensors, hence it is reasonable to assume that the BS can obtain the perfect DOA and DOD information of sensors.

This shows that is bounded for each and fixed and hence, by virtue of uniform boundedness principle, there exists a constant such that for all.

We also estimated models that include occupation fixed effects, hence allowing different occupations to have different degrees of job matching on average.

We assume that the chip rate for all mobiles is fixed, and hence the spreading gain of user is defined as.