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The matrices represented by the new formulas are block tridiagonal.
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Some viewers might appreciate the slickness of the synthetic realm of "The Matrix," represented by a sprawling glass and steel megacity.
where,,, and, respectively, denote all zero entry, the matrix represented by the rows from until of, the matrix represented by the last rows of, and the matrix represented by the first rows of.
A directed edge between two squares means that the matrix represented by the square on the end point can only be filled by using the values from the matrix represented by the square at the start point of the edge.
Both projects are tied to the deeper complexity that comes now with what new DotCloud CEO Ben Golub and Co-Founder Solomon Hykes describe as a world that resembles a matrix, represented by rows of endless number of available services and columns that represent any number of devices where applications run.
The calibrated BPM was then used to construct large-scale jointed rock mass samples by incorporating discrete joint networks of multiple joint intensities into the intact rock matrix represented by the BPM.
The flow properties of the model were then upscaled to simulate the entire reservoir through combining the flow properties of the jointed matrix (represented by an equivalent permeability tensor) with those of the large-scale fault system (which was modelled explicitly) in a dual-permeability system.
Figure 1 schematically represents our tissue model, where cells are embedded in a cellular matrix, represented by a graph.
The similarity matrix represented by the CIM is the same as in the relevance networks described above.
It has been demonstrated that the umbilical cord matrix, represented by the Wharton's Jelly (WJ), contains a great number of mesenchymal stem cells (MSCs), characterized by the expression of specific MSCs markers, shared by both human and animal models.
The main barrier for percutaneous absorption of most chemicals is the stratum corneum the surface lamina consisting of several layers of corneocytes, which are embedded in a lipid matrix represented by multiple bilayers separating the cells.
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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