By specifying the desired pressure at a number of points on a target surface, the powers and relative phases of the sound sources can be tuned to generate a least-squares reconstruction of a desired pressure distribution.
The linear and affine transformation, which maps N points of a source system, denoted as p i, to corresponding points of a target system, denoted as ( {p}_i^{prime } ), can generally be written as {p}_i^{hbox=alpha {Rp}_i+t+{e}_i, (1 where R is a 3 × 3 rotation matrix, α represents a uniform scale factor and t represents the translational component.
By the cubic spline method, we can easily get the values of { z j [ t l ] x i [ t l ]} for l ∈ {1, 2, ···, L} and j ∈ {1, 2, ···, N}, where L is the number of expression time points of a target gene i, and N is the number of TFs binding to the target gene i.
Then it is easy to obtain values of { y [ t + l] x i [ t + l]} for l ∈ {1, 2,⋯, m and i ∈ {1 2 ⋯ L, where m is the number of expression time points of a target gene, and L is the number of TFs binding to the target gene in the rough gene network.
From the gene expression data under heat shock in Caustion et al.'s study [ 18], it is easy to get the values of { x i [ t v ], y[ t v ]} for i ∈ {1,2, ⋯, N}, v ∈ {1, 2, ⋯, M}, where M is the number of the time points of a target gene's expression profile.
Because the F.B.I. could not point to a target or method of attack, the Department of Homeland Security did not raise the threat advisory system beyond code yellow.
Figure 3 illustrates the influence of the number of training points for a target on the improvement brought by using information from similar targets.
The previous bound on the number of reference points for a target shape is triple the number of targets, while it becomes less by considering the convex hulls of targets in the new method.
These results suggested that the apparent isoelectric point (pI) of a target scFv was decreased to a great extent by the genetic fusion of a PMMA-tag containing 5 acidic amino acids, and, thus, the solubility of the scFv-PM in its semi-denatured form was considerably improved.
Then μ and σ are used to compute Gaussian votes p f i, k 3 D | H j, where each 3D point k of a target patch i votes for the nearest object and thus the object which is close to the patch accumulates more votes and gets a higher probability that the patch belongs to that object.
