As the direction of the amino-acid side chains is alternating with respect to the plane of the β-strand, the two detected distances depend on the displacement of the third spin label with respect to the direction of the β-strand.
(1) (2) where (x, 0, z) are the coordinates of the third label with respect to labels 1 and 2. Here, a planar arrangement of the labels is assumed as a consequence of the characteristic cross-β sheet structure of the fibrils, in which β-sheets of the monomers stack in planes perpendicular to the fibril axis.
The traces are labeled with respect to the learning steps performed by the neural network.
The maximum achieved speedup is found in kernel as 107x in the computation of extraction of the low-frequency component and 6x in the computation of connected component labeling with respect to the sequential algorithms running on the CPU.
β-strands and α-helices are labeled with respect to comparable elements in Ras.
However, one may ask whether "measurement" and "information" are truly useful concepts or just vague and ultimately useless labels with respect to analyzing biological systems.
In WY permutation testing, we generate a resampled dataset by randomly permuting the class labels with respect to the individuals, obtaining a new dataset in which no interval is statistically associated with the (permuted) class labels.
Lower case letters denote quantities on the continuous level like the solution u, while upper case letters denote their discrete counterparts usually labeled with respect to the triangulation at hand like the discrete approximation U (T ).
For purposes of clarity, we adopt the general standard that counterfeit medicines consist of those (a) deliberately produced with substandard quality; (b) those fraudulently labeled with respect to their identity/origin; or (c) that are otherwise tainted, adulterated, or made ineffective or harmful [ 22].
To evaluate the significance of the NS's on each individual chromosome, we empirically approximated its null distribution by applying wavelet transform to "random" ES's based on randomizing the sample class labels with respect to the expression vectors, repeating this process 1000 times.
Each x i ′ ∉ X ′ is an extended feature vector for the i-th protein/gene by integrating its attribute features, localization and functional labels together as follows: x i ′ = x i, Y i l, Y i f, where x i is the attribute vector, Y i l = Y i 1 l, Y i 2 l ∈ 0, 1 2 and Y i f = Y i 1 f, ⋯, Y i K f ∈ 0, 1 K are the localization label features and function label features with respect to ith instance.
