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Our objective here is to find rank-1, positive semidefinite matrices that satisfy the t-transform (29).
Random distance matrices that satisfy the bounds matrix are generated followed by embedding in 3D dimension to generate conformations.
For a given value of and, there will exist several code matrices that satisfy Conditions A and B simultaneously.
The problem of computing feedback matrices that satisfy the above two practical requirements is known as the Robust Partial Quadratic Eigenvalue Assignment Problem (RPQEVAP).
We use a lexicographic optimization approach, where the optimal measurement design for sparsity level k is sought only among the set of measurement matrices that satisfy the optimality conditions for sparsity level k−1.
Therefore, we can cast the problem of reconstructing temporal stimuli encoded by neural circuits with complex cells as a feasibility problem, that is, finding all positive semidefinite Hermitian matrices that satisfy (29) and have rank 1.
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Having a representative core gene set of depression is essential to the final gene selection, as the numbers of weight matrices that satisfied the selection criteria were correlated with setting threshold of φ (proportion of core genes).
Instead of taking full projection steps, it moves slowly towards the target set (mathcal {A}) by selectively projecting on {− 1,0,+ 1} the entries of the signature matrix that satisfy a threshold requirement.
We choose the Gaussian matrix as the measurement matrix that satisfies the restricted isometry property (RIP) with this basis.
where ({boldsymbol {Y}:mathbb {R}^{hat {H}} mapsto mathbb {R}^{M}}) is the matrix that satisfies an orthonormal basis property.
A characteristic matrix for a system L is a matrix that satisfies all and only the theorems of L. A matrix is finite if its set K of truth-values is finite.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com