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Typically RMSD is used as a quantitative measure of similarity between two or more protein structures. For example, the CASP protein structure prediction competition uses RMSD as one of its assessments of how well a submitted structure matches the known, target structure. Thus the lower RMSD, the better the model is in comparison to the target ...
In experimental psychology, the RMSD is used to assess how well mathematical or computational models of behavior explain the empirically observed behavior. In GIS, the RMSD is one measure used to assess the accuracy of spatial analysis and remote sensing. In hydrogeology, RMSD and NRMSD are used to evaluate the calibration of a groundwater ...
The one-dimensional PDF below is the Green's function of heat equation (also known as Heat kernel in mathematics): (,) = (()). This states that the probability of finding the particle at x ( t ) {\displaystyle x(t)} is Gaussian, and the width of the Gaussian is time dependent.
Let P and Q be two sets, each containing N points in .We want to find the transformation from Q to P.For simplicity, we will consider the three-dimensional case (=).The sets P and Q can each be represented by N × 3 matrices with the first row containing the coordinates of the first point, the second row containing the coordinates of the second point, and so on, as shown in this matrix:
The RMS value of a set of values (or a continuous-time waveform) is the square root of the arithmetic mean of the squares of the values, or the square of the function that defines the continuous waveform.
In probability theory and statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution.
The maximum is taken over all possible structure superpositions of the model and template (or some sample thereof). When comparing two protein structures that have the same residue order, L common {\displaystyle L_{\text{common}}} reads from the C-alpha order number of the structure files (i.e., Column 23-26 in Protein Data Bank (file format) ).
Download as PDF; Printable version; ... of forecast accuracy without the problems seen in the ... that in-sample one-step forecasts from the naïve ...