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We construct feature vectors by computing the outer product of the expression profiles of two genes.
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Hence, to claim that this is indeed the capacity region, we need to show that computing the outer bounds over all distributions of the form yields the same region which we would obtain by computing over all.
Then the channel impulse response matrix can be obtained by computing the positive eigenvalues and the corresponding eigenvectors of the outer-product matrix HH∗.
Finally, the channel impulse response matrix is obtained by computing the positive eigenvalues and the corresponding eigenvectors of this outer-product matrix.
You measure the opportunity cost by computing the value of the road not taken.
Good convergence is ensured by the variational Galerkin scheme used to compute the outer matching data.
We computed the outer product of two gene expression profiles X i and X j to construct feature vectors: (30) The outer product was chosen because it is commutative, and predicted interactions are therefore symmetric and undirected.
The stress analysis is carried out, for both the inner and outer structure, by computing in any element the cross product of the eddy current distribution with the local static magnetic field and by deriving stresses and deformations.
In the M-step of the outer EM-loop, the expected values in Equation (11) are then used for computing the next iteration step according to Equation (10).
We developed a model to compute the porosity and geometrical outer diameter of the agglomerates and derived the fractal relation between the mass and the outer diameter with a fractal dimension of 2.6, which agreed well with fractal dimensions of bulk CNT assemblies determined by other analytical methods.
Then, we propose to compute the Taylor expansion coefficients of the outer factor because they coincide with the model parameters.
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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.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com