Sentence examples for matrices formed from from inspiring English sources
Solving these linear equations yields a group of Hermitian matrices formed from the outer products of the scaled steering vectors.
The spectral algorithm used to design the detection filter is based on a left eigenstructure assignment approach which accommodates system sensitivities that are revealed as ill-conditioned matrices formed from the eigenvectors in the construction of the detection filter gains.
In 3D culture, MMP-mediated proteolysis was required for invasion of matrices formed from acid-extracted collagen I but not of matrices formed from pepsin-digested collagen I (Vitrogen/Purecol).
Differences in the requirement for MMP activity for ovarian cancer cells to invade collagen I matrices formed from acid-extracted rat tail collagen versus pepsin-solubilized collagen may be attributed to differences in the structural integrity of the reconstituted collagen.
Let be the matrix formed from the columns of that correspond to the elements of.
Let be the matrix formed from the first rows and first columns of, is formed from the first elements of, and is formed from the first elements of.
Then the channel impulse response matrix can be obtained by taking eigen-decomposition of a Hermitian matrix formed from the channel product matrices.
The amplitude component takes a scalar coefficient that controls the total transmission power, while the phase component is a unitary matrix formed from PSK symbols.
Here (H(2 3,2 3)) denotes the corresponding sub-matrix formed from the rows and columns with the indices ((2 3)) and ((2 3)) as in Matlab.
By transforming the fully-populated matrix formed from fine mesh to a large-scale locally supported sparse matrix induced from coarse mesh, the method overcomes computational bottleneck of the boundary element method originating from excessive storage requirements and the large number of operations.
Mathematically speaking, this means that the first row of the symbol matrix is given by S 1 · = [ 1 1 ⋯ 1 ] ∈ ℂ 1 × R. A final estimate of the symbol matrix is therefore obtained in the following manner: S ̂ ̂ = S ̂ D 1 ( S ̂ ) − 1, where D 1 ( S ̂ ) is the diagonal matrix formed from the first row of S ̂.
