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Wainwright asks: "What is the underlying social force that's going to be the basis of the left?
For mitigating the inter-pair interference, we choose for the k th cell site the d k rows of its right decoder Gk,R to be an orthonormal basis of the left null space for A ¯ k = H ¯ k 1 ⋯ H ¯ kk − | H ¯ kk + ⋯ H ¯ kK, if 1 < k < K A ¯ k = H ¯ kk + ⋯ H ¯ kK, if k = 1 A ¯ k = H ¯ k 1 ⋯ H ¯ kk −, if k = K. (6).
Let μ1,..., μ k be a basis of the left kernel of S I (a complete set of conservation laws).
Let B be a matrix such that the rows of B T are a basis of the left null spacec of YA, i. e. (Y A) T B=0.
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Of course, one can always compute a linear basis for the left nullspace of a stoichiometric matrix using various linear algebraic algorithms, but then biochemical interpretation of each basis vector is problematic.
Starting from the detection of STC 1, the decoder computes an orthonormal basis for the left null space of H ~ = H 2, …, H P and constructs a matrix Q with the vectors of this basis in its rows, such that Q H ~ = 0.
The set of all conserved moieties for a chemical reaction network give rise to a biochemically intuitive non-negative integer basis for the left nullspace of the corresponding stoichiometric matrix.
However, G ¯ k, R Φ ¯ n k G ¯ k, R * = β ¯ k G ¯ k, R G ¯ k, R * = β ¯ k I d ¯ k (14 because the rows of Gk,R are chosen to be an orthonormal basis for the left null space of A k in (6).
The set of conserved moiety vectors forms a sparse non-negative integer basis for the left null space of a stoichiometrically consistent network.
To explain the patho-physiological basis of this left ventricular impaired relaxation, the concept that diabetes per se might cause a stand-alone cardiomyopathy should be accepted [ 1].
where (mathbf {R}_{n} in mathbb {C}^{N_{t_{n}}times N_{t_{n}}}) is an upper triangular matrix and (mathbf {Q}_{n} in mathbb {C}^{N_{t_{n}}times N_{r}}) is a matrix with orthogonal rows and composed by approximately orthonormal basis vectors of the left null space of (tilde {mathbf {H}}_{n}).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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CEO of Professional Science Editing for Scientists @ prosciediting.com