120 Methods to calculate extreme wind speeds for a sample of N annual maxima (Cook, 1985; ESDU, 1990). However, for the special case of the Gumbel dis- tribution an almost unbiased plotting position is given by: ( )F xm = m N − 0.44 + 0.12 (7 ) (Gringorten, 1963) and is ...
We combine fate probability estimates with a pseudotemporal ordering to visualize gene expression programs executed by cells along trajectories leading to terminal states (Fig.1eand Extended Data Fig.1e–h;Methods). Pseudotime orders a progression of cell states from the initial state, while CellRank...
18; iii) while for a stationary motion in a homogeneous medium, EA-MSD and TA-MSD have the same exponent, several systems are intrinsically heterogeneous and non-stationary19,20, which can lead to non-ergodicity (i.e., the non-equivalence of time and ensemble averages). Typically, the...
normalization, and dimensionality reduction. Data cleaning eliminates noise, missing values, and irrelevant attributes that may adversely affect the clustering process. Normalization ensures that different attributes are on a similar scale to avoid dominance...
A likelihood-ratio test is applied to calculate the significance of this SNP subset via an asymptotic χ2 distribution. (3) Information Gain (IG) [34] Let C denote the disease status random variable. The information gain of {A, B} is defined as (4) where the mutual information I(A;...
An in-depth review of the more commonly applied methods used in the determination of the fractal dimension of one-dimensional curves is presented. Many often conflicting opinions about the different methods have been collected and are contrasted with each other. In addition, several little known but...
While computational complexity is the most direct influence on detection time, considering that the computational complexity of some algorithms is difficult to calculate or controversial under different assumptions, most papers only provide the training and testing time of their algorithms on the specified...
Using Quadrature and Collocation Methods to Calculate Spectra of Polyatomic Molecules with General Potential Energy SurfacesEigenvalues.Quantum physics.Partial differential equations.Energy.Spectrum analysis.Integrals.Calculating accurate rovibrational spectra of molecules composed of even just a few atoms is a ...
(tSSIM) analysis into the eSRRF framework. Here, we calculate the progression of the structural similarity54at the different time points of the image stack relative to the first frame (Supplementary Fig.5). This allows us to identify the local molecular dynamics (Supplementary Fig.6) and ...
To compute the distance matrix of a given polymer model, we calculate the Euclidean spatial distance between all pairs of beads, obtaining a two-dimensional (2D) matrix Nbead × Nbead. Then, we coarse-grain it by averaging over all entries belonging to the same pair of bins, to acqui...