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Root Mean Square:
"... In statistics, signal processing and mathematical finance, a time series is a sequence of data points, measured typically at successive times spaced at uniform time intervals. Here, I only focus on the discrete time series xi = x(ti), i = 1, · · · , N. The motivation of writing this methodology n ..."
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for timeseries x in below. The mean describes the central location of the data, and the standard deviation describes the spread. The standard deviation remains the most common measure of statistical dispersion, measuring how widely spread the values in a data set are. In mathematics, the root mean square
RMSD Root Mean Square Deviation
"... Simultaneous prediction of protein secondary structure and ..."
Rootmeansquare gains of switched linear systems
 IEEE Trans. Automat. Contr
, 2003
"... In this paper we compute the rootmeansquare (RMS) gain of a switched linear system when the interval between consecutive switchings is large. The algorithm proposed is based on the fact that a given constant γ provides an upper bound on the RMS gain whenever there is a separation between the stabi ..."
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Cited by 25 (6 self)
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In this paper we compute the rootmeansquare (RMS) gain of a switched linear system when the interval between consecutive switchings is large. The algorithm proposed is based on the fact that a given constant γ provides an upper bound on the RMS gain whenever there is a separation between
The RootMeanSquare Charge Radius of Proton
"... Abstract: Within the Everlasting Theory I calculated the charge radius of proton for experiment involving a proton and an electron 0.87673 fm. For experiment involving a proton and a negativelycharged muon, the upper limit is 0.84282 fm whereas the arithmetic mean is 0.84074 fm. The first result ov ..."
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Abstract: Within the Everlasting Theory I calculated the charge radius of proton for experiment involving a proton and an electron 0.87673 fm. For experiment involving a proton and a negativelycharged muon, the upper limit is 0.84282 fm whereas the arithmetic mean is 0.84074 fm. The first result
2.1 The Root Mean Square Deviation
"... RMSD. In other words, the distance RMSD is very sensitive to local difference. To eliminate the influence of local difference on two structures may lead to more effective structure comparisons. To achieve better structure comparison, in this paper, we propose a new algorithm based on curve alignment ..."
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RMSD. In other words, the distance RMSD is very sensitive to local difference. To eliminate the influence of local difference on two structures may lead to more effective structure comparisons. To achieve better structure comparison, in this paper, we propose a new algorithm based on curve alignment, which is a combination of sequence alignment and Bspline curve fitting. To test and verify our method, we randomly choose some families in the CATH database as testing sets and try to identify them. Experimental results show that our method outperforms the distance RMSD method. Furthermore, we also invoke the SVM (Support Vector Machine) tool to help us obtain the better classifications. The organization of this paper is described as follows. In Section 2, we will briefly introduce some preliminary knowledge for protein structure comparison, including RMSD and the Bspline curve. In Section 3, we shall propose our algorithm for computing the distance score of two protein structures. Our experimental results will be presented in Section 4. Finally, a conclusion will be given in Section 5.
Title: Estimating Root Mean Squared Error
, 1987
"... in the Oneway Random Model Abstract approved: Redacted for privacy ..."
Root mean square deviation probability analysis of molecular dynamics trajectories on
, 2006
"... The comparison and detection of the commonalities and differences in multiple structural ensembles is an important step in the use of molecular simulations to gain insight into the conformation and dynamics of complex biomacromolecules. While the average structure is often employed as the representa ..."
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Cited by 1 (1 self)
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as the representative of an ensemble of structures in such comparisons, dynamic molecular systems with multiple conformational substates call for a more accurate representation that captures the complete dynamical range of the ensemble. We present a probability analysis procedure based on the rootmeansquare
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