Also, G is directed if the edges have a direction associated with them.
The most relevant directions in space relate to the vectors corresponding to the largest eigenvalues; directions associated with small eigenvectors may be neglected.
The FDG algorithm can be considered as another definition of the steepest descent method, where the gradient vector is calculated using point-wise finite difference approximations in each of the directions associated with the decision variables.
The basis directions associated to this array are given by (7), and the number of real directions is Q = 1 + 2⌊ΔN⌋, that we require to exceed that relevant to the actual array, i.e., ⌊ΔN⌋ > ⌊ΔM⌋, so as to achieve super-resolution.
PCA is based on the spectral decomposition of the variance-covariance matrix of the data and produces a set of orthogonal eigenvectors, each identifying a direction, associated with eigenvalues listed in decreasing order.
Several studies have found that endurance exercise can favorably improve blood lipid profiles in a direction associated with a lower risk of cardiovascular disease risk (↓ LDL, ↑ HDL) [64], while others have found that up to six months of endurance training had no effect on LDL or total cholesterol values [65], [66].
Then PCA analysis was performed on the reduced pilot data set and the three largest principal components were selected (i.e., the directions associated with the largest eigenvalues).
As the analysis of the biomechanical testing showed a higher stability for the 3CL configuration in two (anterior-posterior corresponding to recurvation and 9° compression to shortening/see results) of three directions associated with the most important clinical problems, we transferred this modification into clinical practice.
As biomechanical testing showed a higher stability for the 3CL configuration in two (a-p corresponding to recurvation and 9° compression to shortening) of three directions associated with the most important clinical problems, we added a 3rd nail in ESIN-osteosynthesis for femoral fractures.
At the chromatin level, histone tail modifications of the Pdx1, Ins1 (insulin 1) and Ins2 (insulin 2) gene promoters are shifted in a direction associated with gene activity, and the level of DNA CpG methylation is reduced at the Ins1 promoter.
