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In summary, this principal component suggests a critical state in the discrimination of indistinguishable objects that begins with high motivation as suggested by the greater expression coefficients of the first presentation, but ends with demotivation after the subject has definitely perceived his dilemma.
Further analysis of these parameters using Spearman's ranking correlation showed a significantly negative correlation of deficient verbal recall with expression coefficients of the principal component whose image showed a subcortical-cortical network, including right dorsolateral-prefrontal cortex, in PD patients.
Correlation of the expression coefficients of the significant PCs with the TAS-20, the Beck Depression Inventory, and the SEE scales was conducted using a Pearson two-tailed correlation (SPSS for Windows, Version 12.0.1).
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These results are further used to derive approximate expressions for the reflection coefficients of the shell-borne waves at a free end and for the Green functions of a finite free free shell undergoing axisymmetric vibrations.
The temporal expression coefficients of all significant principal components exhibited a peak in the frequency spectrum at about 0.054 Hz, the repetition frequency of the object presentation.
The expression of coefficients of the generating function ([R x)]^{k}= (frac{1}{1-x} )^{k}) is equal to {n+k-1 choose k-1}.
Let us find an expression for coefficients of the generating function (A x)=sum_{n>0}a(n)x^{n}), which is defined by the functional equation A x)=x+xA x)+xA x)^{2}+2xA x)^{3}.
Let us find an expression for coefficients of the generating function (B x)=sum_{ngeq0}a(n)x^{n}), which is defined by the functional equation (see A064641 [5]) B x)=frac{1-x-sqrt{1-6x-3x^{2}}}{ 2x(1+x)}.
A peak in the power spectra of the temporal expression coefficients at the repetition frequency of the task confirmed the neurobiological significance of the task-related principal components.
Correlation of the PC expression coefficients with the behavioral scales of emotional processing yielded the following observations (Table 3).
The solvability of the Poisson equation associated with the generator of frozen equation provides an expression for the coefficients of the expansion.
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CEO of Professional Science Editing for Scientists @ prosciediting.com