Gaussian shape


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Noun1.Gaussian shape - a symmetrical curve representing the normal distribution
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
curve, curved shape - the trace of a point whose direction of motion changes
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References in periodicals archive ?
The distribution of the feature value is not a "good Gaussian shape."
Therefore the sum of pseudorapidity distributions in selected individual events shown in Figure 2 do not demonstrate very good agreement with the Gaussian shape. From Figure 2 for the density (1/N)(dN/d[eta]) in the central region for selected proton-nucleus collisions we have (15.9 [+ or -] 1.8).
Caption: Figure 1: Effect of the Gaussian shape parameter ([epsilon] [less than or equal to] 1.5) on the result accuracy for the Hermite collocation scheme computed at Re = 10 with t = 0.5, [delta]t = 0.005, and N = 10x 10.
However, the hostile noises are far from the natural Gaussian shape and are rather close to typical signals such as single tone and sweep sinusoidal jamming.
Since the retinal cross-sectional vessel profile is similar with a Gaussian shape, a two-dimensional Gaussian-based matching template could be utilized for best approximation to the blood vessels.
Based on the assumption that the Doppler spectra of clutter and precipitation follow Gaussian shape, simulation studies are carried out using a case of M-PRT schemes.
Strong dipolar interactions between the unpaired electrons of radicals broadened the EPR component (G1) with Gaussian shape. The broadening dipolar interactions were stronger between the unpaired electrons of radicals with the broadest Gaussian (G1) EPR line than between the radicals with the narrower Lorentzian (L1, L2) line.
In the first case, the shape of linewidth is approximated by Gaussian shape, while in the second case the Lorentzian shape is considered.
Assuming using a Gaussian shape pulse, [OMEGA](t) = [THETA]/([tau][square root of ([pi])]) exp(-[t.sup.2]/[[tau].sup.2]), where 0 is the pulse area and r is a parameter for the pulse duration.
One can notice that horizontal and vertical cuts do not follow a Gaussian shape. They are closer to a triangular shape.
If take a Gaussian distribution as an initial field, the beam preserves its Gaussian shape but its RMS beam width "breathes" sinusoidally as it travels in a straight path.
This comparison has shown good agreement (a Gaussian shape) as expected, except for the secondary small propagation mode.

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