the bioinformatics concept of root mean square deviation of atomic positions. The RMSD of a sample is the quadratic mean of the differences between the...

bioinformatics, the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance...

studying the dispersion phenomenon. Root-mean-square deviation of atomic positions: the average is taken over a group of particles at a single time, where...

standard deviations are computed by taking the square root of the sum of the squares of the individual components (i.e., RSS for root sum squares). To get...

The spatial extent of the prolate spheroid nucleon (and larger nuclides) is determined by root mean squared (RMS) charge radius of the proton, as determined...

area of the faces of octahedron Jahn–Teller distortion parameters Root-mean-square deviation of atomic positions Simple and flexible processes of use Cross-platform...

equal to the standard error of the mean, which is the standard deviation divided by the square root of the number of measurements. This procedure neglects...

obsolete by Ernest Rutherford's discovery of the atomic nucleus in 1911. The model tried to account for two properties of atoms then known: that there are electrons...

{\displaystyle \sigma _{y}^{2}(\tau )} . The Allan deviation (ADEV), also known as sigma-tau, is the square root of the Allan variance, σ y ( τ ) {\displaystyle...

usually averaged over time and/or space, and a square root of this average provides a root mean square (RMS) value. For example, 1 Pa RMS sound pressure (94...

theory, the root-mean-square deviation of an estimator is a measure of the imperfection of the fit of the estimator to the data. Root-mean-square speed In...

mean is a moment about the origin, unlike the standard deviation, which is (the square root of) a central moment. See also: Positive real numbers § Ratio...

methods. The outputs of a structural alignment are a superposition of the atomic coordinate sets and a minimal root mean square deviation (RMSD) between the...

divided again by the square root of the atomic weight (Geiger and Marsden knew that for foils of equal stopping power, the number of atoms per unit area...

of the normal curve is the range within one standard deviation of the mean; the lighter grey area shows the range within two standard deviations of the...

Heisenberg, the formal inequality relating the standard deviation of position σx and the standard deviation of momentum σp was derived by Earle Hesse Kennard later...

percentage, and is defined as the ratio of the standard deviation   σ {\displaystyle \ \sigma } to the mean   μ {\displaystyle \ \mu } (or its absolute value...

Gaussian-distributed, have zero mean (average value) and have the same standard deviation σ P R {\displaystyle \sigma _{PR}} regardless of vehicle location or the...

measured by calculating the root mean square deviation from the backbone atomic position of the favored structure. The structure of the foldamer under different...

{B}}T}}}} and k {\displaystyle k} denotes the Boltzmann constant. The root-mean-square speed can be calculated by v rms 2 = ∫ 0 ∞ v 2 f ( v ) d v = 4 π (...

present in molecules and crystals, and for all types of chemical reactions, while the rest make up the atomic core. Electrons play an essential role in numerous...

the number of photons per second in the beam, σ x {\displaystyle \sigma _{x}} and σ y {\displaystyle \sigma _{y}} are the root mean square values for...

methodologies, these mean-field particle techniques rely on sequential interacting samples. The terminology mean field reflects the fact that each of the samples...

with decreasing sequence identity; a typical model has ~1–2 Å root mean square deviation between the matched Cα atoms at 70% sequence identity but only...

the alignment quality is evaluated based on the root-mean-square deviation (RMSD) of atomic positions, i.e., the average distance between atoms after...

Another simple case of diffusion is the Brownian motion of one particle. The particle's Mean squared displacement from its original position is: MSD ≡ ⟨ ( x...

_{s}^{2}=M\sigma ^{2}} and the standard deviation is M σ 2 {\displaystyle {\sqrt {M}}\sigma ^{2}} . That means the standard deviation of the noise is multiplied by...

to monatomic gases. The mean kinetic energy also allows the root mean square speed vrms of the gas particles to be calculated: v rms = ⟨ v 2 ⟩ = 3 k B...

"The solution of the Kato square root problem for second order elliptic operators on R n {\displaystyle \mathbb {R} ^{n}} ". Annals of Mathematics. Second...

Republican Calendar's days consisted of ten hours of a hundred minutes of a hundred seconds, which marked a deviation from the base 12 (duodecimal) system...