# sinusoid

## Definitions

• WordNet 3.6
• n sinusoid tiny endothelium-lined passages for blood in the tissue of an organ
• n sinusoid the curve of y=sin x
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Webster's Revised Unabridged Dictionary
• n Sinusoid (Geom) The curve whose ordinates are proportional to the sines of the abscissas, the equation of the curve being y = a sin x. It is also called the curve of sines.
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Century Dictionary and Cyclopedia
• n sinusoid The curve of sines, in which the abscissas are proportional to an angle, and the ordinates to its sine.
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Chambers's Twentieth Century Dictionary
• n Sinusoid the curve of sines in which the abscisses are proportional to an angle, and the ordinates to its sine
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## Etymology

Webster's Revised Unabridged Dictionary
Sinus, + -oid,
Chambers's Twentieth Century Dictionary
L. sinus, a curve.

## Usage

### In news:

The fast switching transistors used in modern PWM inverters have helped to produce more sinusoidal currents as well as more efficient and compact inverters .
Galil Motion Control has added two multi-axis servo drives that perform sinusoidal commutation, which minimize torque ripple.
Servo drives with sinusoidal commutation, less torque ripple.
These motors have sinusoidal commutation with an EnDat encoder or resolver as feedback units, and their rotor design ensures minimized inertia.
Rockefellers, Roosevelts and their ilk flocked to Michigan for sinusoidal baths, hydriatic percussion and yogurt enemas .
Rotary vibrators generate a sinusoidal vibration and therefore are much more efficient in bringing dry material into resonance, and holding it there, than linear vibrators .
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### In science:

U r = (cid:18) ε When U r << 1 waves are essentially linear and their dynamics can be expressed as a simple superposition of sinusoidal waves.
Freak Waves in Random Oceanic Sea States
It was assumed that the source variation was sinusoidal.
A Search for Gamma-Ray Bursts and Pulsars, and the Application of Kalman Filters to Gamma-Ray Reconstruction
When recording quantum states at a ﬁxed scaled energy ˜E as a function of the scaling parameter w = F −1/4 , each isolated closed orbit contributes a sinusoidal modulation to the sum (2), which can be extracted by a Fourier transform of the quantum spectrum.
Semiclassical quantization with bifurcating orbits
In the case a. the observed dynamics is clearly sinusoidal oscillations with the predicted amplitude and period.
Rabi spectra - a simple tool for analyzing the limitations of RWA in modelling of the selective population transfer in many-level quantum systems
In the ﬁrst case, the coupling is relatively weak so that the condition (12) is fully satisﬁed (actually, Γ = 50) and the pure sinusoidal population oscillations are observed.
Rabi spectra - a simple tool for analyzing the limitations of RWA in modelling of the selective population transfer in many-level quantum systems
By further increasing the perturbation intensity (Fig. 6), a simple sinusoidal pattern of oscillations on the transition 1 ↔ 2 disappears completely.
Rabi spectra - a simple tool for analyzing the limitations of RWA in modelling of the selective population transfer in many-level quantum systems
In this respect, a critical analysis of this lightcurve shows no evidence of a sinusoidal modulation; the signature of ocultation in the binary.
A white dwarf-neutron star relativistic binary model for soft gamma-ray repeaters
At the end, the assembly in horizontal position has been submitted to a sine burst, where a sinusoidal excitation at 35 Hz and amplitude equivalent to 11 G entered the system for 10 seconds.
Design of a Base-Board for arrays of closely-packed Multi-Anode Photo-Multipliers
The hot blackbody components have a similar phase evolution with a sinusoidal proﬁle.
On the polar caps of the 3 Musketeers
The cool blackbody component shows a ∼ 15% modulation (wrt. the average value) of its emitting radius, with a sinusoidal proﬁle.
On the polar caps of the 3 Musketeers
In Sect. 3 we show the behavior of the Fourier Transform (FT) in the case of an absorbed sinusoid.
A simple model for the complex lag structure of microquasars
If we compute the Fourier Transform of a sinusoid function we obtain the frequency, amplitude and phase.
A simple model for the complex lag structure of microquasars
We see that by doing the FT on this signal we obtain different parameters for the sinusoid.
A simple model for the complex lag structure of microquasars
This comes from the fact that the FT adjusts the data with a shifted sinusoid, creating a phase difference.
A simple model for the complex lag structure of microquasars
The ﬁrst way to check this idea is to look at the QPO proﬁle and see if there is an energy dependant departure from a sinusoidal signal.
A simple model for the complex lag structure of microquasars
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