The parameters in the sinusoidal function
were estimated when L was maximized with a nonlinear fit using the Newton algorithm (Neter et al.
In this part, the teacher discusses, in detail, the critical components of the sinusoidal function
such as amplitude, period, horizontal, and vertical shift, and how these quantities can be identified and measured in the experiment.
The changes of output mass flow rate and weight fraction of additive fed from the second feeder with time for various time dependent input modes such as step function and sinusoidal function
inputs into the second feeder and other ports part way along the length of the machine were analyzed.
As shown in Figure 3e and f, the orientation rate appears to be a sinusoidal function
of the orientation angle; although data from larvae fitted less closely to Equation 11 than did those from Paramecium, this was probably due to the uncertainty in measuring the orientation angle of the larvae.
where k is the declining coefficient of the Sinusoidal function
set as 9 x [10.sup.-6] and [f.sub.0] is the prime frequency of the ultrasonic transducer set as 5 x [10.sup.6] Hz.
A typical solution for resolving this problem is usage of look-in tables , in which are memorized samples of the sinusoidal function
with n discrete values, while the number of discrete values is equal to the wanted module of the divider.
The changes of output flow rate with time (surging) are predicted for various time dependent input modes such as step function and sinusoidal function
inputs into the hopper and other ports part way along the length of the machine.
Having a solid understanding of trigonometric functions is crucial to learn various advanced mathematical concepts; such as identifying geometric properties of complex numbers and using sinusoidal functions
to model many periodic phenomena in science and engineering.
Spectral analysis is used to decompose a time series into several sinusoidal functions
of a certain wavelength in order to identify the seasonal variations of different lengths.