The sine function
is a periodic function that repeats values at regular intervals.
Again the choice of the sine function
instead of the cosine function here is arbitrary but has no physics difference.
The difference of sensor output under different temperature could be approximate sine functions
to roll angle, and the amplitude of the sine curve is also an approximate sine function
Equations (1), (2) and (3) gives the relation between Koch fractal area and S parameters with three different fit types of Gaussian, Fourier and Sum of Sine functions
The model used a sine function
for the temperature rising from the minimum on the current day to the maximum for that day, a sine function
for the temperature falling to a transition point, then a decay function from the transition point to the minimum of the following day.
We hypothesized that following Stage 1 most participants would demonstrate a marked improvement in their ability to construct formulas associated with various types of graphical representations of cosine and sine functions
, but that they would encounter difficulty during a second series of tests in Baseline 2 when exposed to a novel series of reciprocal functions.
Since the induced voltage is the sine function
of the rotation angle [alpha], the induced power is also the sine function
of the angle [alpha], but with the cycle of [pi], as shown in Figure 9.
In the following analyses, the realistic distribution of ambient temperature simulated using the sine function
, when the seasonal effects are covered by the mean value of the sine and the daily cycles are defined by the amplitude of the sine function
If a function and all its derivatives and integrals are absolutely uniformly bounded, then the function is a sine function
with period 2[pi] This is Roe's theorem (14).
We can achieve this by raising the sine to a low fractional power, say 1/40 (we have to be careful about the signs, so we take absolute value of sine function
and restore the sign using the signum function:
4) If after these two, the reader persists in wanting more on how modern society inherited the sine function
and its relatives, read Van Brummelen.
The sine function
in its modern form was first defined in the Surya Siddhanta and its properties were further documented by the fifth century Indian mathematician and astronomer Aryabhata.
The approximation of the height changes distribution by sine function
was used as a simple method that could prove certain regularity in observed values.
For example, we developed the fact that the sine function
maps vertical and horizontal lines to hyperbolas and ellipses, respectively.
limb kinematics during gait) and thus a sine function
may provide a reasonable approximation to the movement: X(t) = sin(t).