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 ?
An example of the histopathologic changes observed in chemotherapy-induced sinusoidal injury in a liver resection from a patient with colorectal liver metastases who received multiple rounds of FOLFOX.
It therefore has a roughly similar appearance to the Sinusoidal shown in Fig.
4 shows that in Case 1, as the axial friction coefficient increases, the sinusoidal buckling force decreases and the helical buckling force increases.
Asymmetry of the voltages was realized by a sequential connection of sources of symmetric sinusoidal voltages of 100 V in direct sequence and 20 V in negative sequence with values of initial phases corresponding to parameters [U.sub.+] = 100[square root of (3)]B;[[??].sub.-] = 0.2 j.
The measured sinusoidal quadrature waveforms [V.sub.o1], [V.sub.o2] and their frequency spectrums are illustrated in Figure 5.
The sinusoidal buckling of the drill string is instability when the axial load is [F.sup.*].
Caltrans' 2009 work resulted in a recommendation for an internal design concept that built on previous research for both quieter pavements and the Danish experiments with the sinusoidal rumble strip shape.
The normalised values of the powers measured under sinusoidal supply voltage and the histograms of the normalised values of the powers measured under distorted test voltages are presented in Figure 8 and Figure 9, respectively.
DeLeve, "Liver sinusoidal endothelial cells in hepatic fibrosis," Hepatology, vol.
Next, we measured the oscillator performance during sinusoidal and random vibration that may occur in a harsh automotive environment.
The machine deploys a sinusoidal velocity curve within its discharge mechanism to ensure gentle handling, even at high throughput rates, to reduce damage.