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In the task-priority approach, the vector of the desired increment in the secondary task space is projected in the null space of the primary task.
Also, as discussed in [22] for any precoding vector in the null space of, is also in the null space of.
It requires that any x≠0 lies in the null space of G must also be in the null space of H.
where holds the (Ntb - K + 1) singular vectors in the null space of.
Say there exists a vector Π≠0 in the null space of both the operators.
We let be a unitary matrix in the null space of such that.
Moreover, it is satisfied for any vector b in the null space of.
Though for uniqueness inf sup stability is not necessary, this condition ensures optimal convergence in the null space of π W for linear problems, for appropriately chosen spaces.
In other words, the boundary surface of the null space depicts the fluxes that achieve the cellular objective.
Further simplifying the matrix puts it in reduced row echelon form R and improves our description of the null space.
Overall, 10,000 sampled points belonging to the null space of the stoichiometric matrix were included in the analysis.
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