For these methods, there is an assumption that the length of vector from two matrices or matrix itself should be same in order to calculate the similarity.
The application of the Genomatix tool FrameWorker to the selected mammalian sequences provided a list of regulatory elements (matrices) or matrix families identified among the aligned sequences and conserved in orthologous promoters.
Therein, a method validation based on the relevant biological matrix (or matrices) is suggested [ 187].
Other operations, i.e., matrix-matrix or matrix-vector multiplication, have been performed using self-built functions.
For reinforced polymer matrix composites, failure tends to occur in the matrix or matrix-reinforcement interface.
Given a matrix with some variant entries in it (often called partial matrix) or a matrix expression with some variant matrices in it, the rank of the partial matrix or matrix expression will vary with respect to the variant entries or variant matrices.
Because the rank of matrix is an integer between 0 and the minimal of row and column numbers of the matrix, maximal and minimal ranks of partial matrix or matrix expressions must exist with respect to their variant entries or variant matrices.
The expression of several matrix or matrix-associated proteins (CL8A1, FBN1, Laminin-α1, FRAS-1, ITIH5 etc). is likely to be modulated during wound repair and is decreased when significant GT formation had occurred.
From above, the derivation of dynamic FEM solution requires to determine the mass matrix, damping matrix or stiffness matrix.
Tissue culture dishes were coated with skeletal muscle matrix, cardiac matrix, or collagen at 1 mg/ml for 1 h at 37°C, rinsed twice with dH20, dried, and then sent to Tascon USA, Inc. (Chestnut Ridge, NY) for analysis.
