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HII regions in a rotating ring formation approximately 1 pc in diameter The turbulent eddies that form within this region may be driven by the ring s large scale rotation Gwinn 1992 Fig 1 Two point velocity correlation function for H2O masers in W49 North plotted with a logarithmic bin size of 0 25 a Least squares linear and second order polynomial fits applied

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The continuous line represents the normalized width of the field correlation function plotted as a function of the normalized distance from the source For light sources this is the linear

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yes which for the context of this thread makes it the function of choice to use when speed is not of the essence Here s both rand blue and mt rand red plotted ontop of eachother At the weighted center of each distribution I have placed a circle You may only see 1 circle that is because they almost exactly overlap Irrefutable evidence of a pattern common to both

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Table 1 Figure 3 Average backscatter intensities plotted as a function of the interferometric correlation for selected test areas within the ERS 1 SAR scene over Bern Vertical bars indicate

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into the highly damped attractor Since the attractor which first appeared is incomplete and transient the dimension should be estimated on the stable part of this system Figure 4 The correlation dimension is plotted as a function of the coefficient of restitution

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This figure shows the magnetic disturbance index and sunspot number plotted as a function of time The correlation is most clear when the plots can be superimposed Science Journal

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Figure 4 Average backscatter intensities plotted as a function of the interferometric correlation for selected forest stands within the ERS 1 SAR scene over Bern Figure 5 Interferometric signatures red = interferometric correlation green = backscatter intensity on 24 November blue = backscatter intensity change between 24 and 27 November

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In terms of a structure function relatonship Kohles and Roberts plotted porosity versus both elasticity which showed a weak negative correlation indicating that porosity was a contibutor to decreased elastic properties but not the only contributor They also found that increasing porosity

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The input spectrum can be plotted also in 1 3 octave mode like in the example below frequency axis logarithmic Coherence This function is the ratio of the squared magnitude of the Cross Spectrum and the spectrum

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of 0 8 mm this crystal was fabricated with 32 slots each 0 8 mm wide and 2 7 mm deep see Figure 3 The heat transfer coefficient as a function of flow rate for this crystal is shown in Figure 29 The heat transfer coefficient was calculated using the correlation recommended by Baker and Tessier 6 for liquid metals Also plotted in Figure 29 is the Biot number as a

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Gauch 1982 figures 4 9 and 4 10 and Pielou 1984 Table 4 11 Now we will plot first axis species scores as a function of first axis sample scores Here the abundance of the species is proportional to the size of the circle and zero abundances i e absences are not plotted Note that there is a correlation between species scores and

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the calculated dissimilarities and the plotted values after all that s what it s trying to maximize We can do that with the LabDSV ordcomp function > ordcomp bc4d nmds dis bc dim=4 The dots are plotted for each pair of sample plots and the correlation is printed in the upper left corner r = 0 946 not bad at all It s not quite linear but remember it s not a

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So then I plotted the magnification factor of the signal recovery for each reconstruction in Figure 3 Figure 3 Demagnification of Historic Signal as a Function of Noise This again clearly demonstrates the reasons why correlation cannot be used to sort proxy data for validity All of the

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of Table 5 along with their significance Clearly decreasing libertarianism means increasing violence The violence for political freedom and freedom samples is plotted in Figure 2 and Figure 3 They show violence obviously scaling upward to the right as we would expect from the above correlation Especially important is that for both plots the best fitting function

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errors in the parallaxes given the strict unit slope correlation of the mag mag residuals and the total lack of any correlation between the magnitude color residuals Figure 28 Figure 28 B band residuals from the multiwavelength Period Luminosity relations in Figure 27 are sequentially plotted as a function of residuals from each of the other five PL relations and

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session were plotted as a function of calculated case mix adjusters there was very little relationship between actual costs and the UM KECC modeled adjuster correlation coefficient 0 26

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are wind speed and air temperature I ve taken all of the 2008 data and done correlations between each pair of stations and plotted those correlations as a function of station separation With the wind speed it appears that stations separated by 100km have a correlation of about 0 5 and stations are essentially uncorrelated once their separation reaches about 500km I

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are wind speed and air temperature I ve taken all of the 2008 data and done correlations between each pair of stations and plotted those correlations as a function of station separation With the wind speed it appears that stations separated by 100km have a correlation of about 0 5 and stations are essentially uncorrelated once their separation reaches about 500km I