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Root mean square deviation; Root mean square fluctuation; Quaternion – used to optimise RMSD calculations; Kabsch algorithm – an algorithm used to minimize the RMSD by first finding the best rotation [3] GDT – a different structure comparison measure; TM-score – a different structure comparison measure
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:
In fluid dynamics, normalized root mean square deviation (NRMSD), coefficient of variation (CV), and percent RMS are used to quantify the uniformity of flow behavior such as velocity profile, temperature distribution, or gas species concentration. The value is compared to industry standards to optimize the design of flow and thermal equipment ...
To find the MSD, one can take one of two paths: one can explicitly calculate and , then plug the result back into the definition of the MSD; or one could find the moment-generating function, an extremely useful, and general function when dealing with probability densities.
Users can run their own Tcl and Python scripts within VMD as it includes embedded Tcl and Python interpreters. VMD runs on Unix, Apple Mac macOS, and Microsoft Windows. [3] VMD is available to non-commercial users under a distribution-specific license which permits both use of the program and modification of its source code, at no charge. [4]
Umple code embedding one or more of Java, Python, C++, PHP or Ruby Pure Umple code describing associations, patterns, state machines, etc. Java, Python, C++, PHP, Ruby, ECcore, Umlet, Yuml, Textuml, JSON, Papyrus XMI, USE, NuXMV, Alloy Velocity apache: Java Passive [2] Tier Templates Java driver code Any text Yii2 Gii: PHP Active Tier
The TM-score is intended as a more accurate measure of the global similarity of full-length protein structures than the often used RMSD measure. The TM-score indicates the similarity between two structures by a score between ( 0 , 1 ] {\displaystyle (0,1]} , where 1 indicates a perfect match between two structures (thus the higher the better ...
In mathematics, the root mean square (abbrev. RMS, RMS or rms) of a set of numbers is the square root of the set's mean square. [1] Given a set , its RMS is denoted as either or .