# Sinusoid

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## sinusoid

[′sī·nə‚sȯid]
(anatomy)
Any of the relatively large spaces comprising part of the venous circulation in certain organs, such as the liver.
(mathematics)

## Sinusoid

(or sine curve), the graph of the function y = sin x. It is a plane curve (see Figure 1) representing the variation in the sine as the argument, or angle, changes. A sinusoid intersects the x-axis at the points 180°k (or πk) and has maxima at the points 90° + 360°k (or π/2 + 2-πk) and minima at the points - 90° + 360°k (or - π/2 + 2πk), where k = 0, ± 1..... Figure 1

The curve defined by the equation y = A sin (ωx + Φ0) is also sometimes called a sinusoid. The relation between this curve and the curve y = sin x is as follows: first, the x-coordinates of the points of y = sin x are increased by a factor of ω; second, the y-coordinates of the points of y = sin x are increased by a factor of A; and third, the curve is translated by an amount - Φ0/ω along the x-axis. The number A is called the amplitude, ω is called the angular frequency, and Φ/0 is called the initial phase angle. The sinusoid is of great importance in the theory of oscillations. [23–1296–]

References in periodicals archive ?
Medina, Non-uniform sinusoidally modulated half-mode leaky-wave lines for near-field focusing pattern synthesis," Institute of Electrical and Electronics Engineers.
Now, consider a sinusoidally varying homogenous spherical distribution of mass.
The lower die is oscillated sinusoidally at a programmable frequency and strain.
The following figures were produced assuming that resource availability oscillates sinusoidally between 0.3 and 0.9 and the fraction of daylight hours between 0.35 and 0.65 (see the exact functions in Appendix B).
The fetal vessels of the terminal villi are therefore represented by capillary loops, parts of which are sinusoidally dilated, arranged such that three to five terminal villi are supplied by an individual coiled capillary loop.
 used the finite element method with the six-node triangular elements for solving unsteady natural convection problem in the heated enclosure with sinusoidally corrugated side walls.
Chen, "Chaos synchronization criteria and costs of sinusoidally coupled horizontal platform systems," Mathematical Problems in Engineering, vol.
Distribution of the nondimensionalized transverse shear stress is shown for multi layer antisymmetric angle-ply and orthotropic laminates under sinusoidally distributed transverse loads in Fig.
A numerical simulator based on (2) has been developed successfully and tested in some canonical scenarios (flat and sinusoidally varying surfaces).
fERGs were recorded in response to a sinusoidally modulated (41 Hz), uniform field presented to the macular region (18[degrees]) at different modulations between 16.5% and 93.5%.
 have studied the behavior of no-Newtonian fluid flow through a straight rigid tube of circular cross section under the action of sinusoidally oscillating pressure gradient about a non-zero mean.
The AMP-43540 and the AMP43640 four-axis drives are sinusoidally commutated to minimize torque ripple, an important consideration for applications using low-friction linear motors.

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