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The micro-scale model of UDLT represents matrix and fibres by means of 3D solid elements.
The number of time snapshots is equated to L. The superscript "T" represents matrix transpose operation.
Dark rectangles are plagioclase (labeled as 'pl'), bright crystals are either pyroxenes (px) or iron-titanium oxides (ox), gray areas represents matrix glass (gl), black areas are the vesicles (vs).
As seen in Fig. 3, this curve represents matrix polymer formation over the same period of 45 240 h. Figure 6 Changes in biofilm parameters with time: Navicula sp. 1. Figure 7 Production of extracellular carbohydrate polymers with time: Navicula sp.l. Figure 8 Individual carbohydrate polymer fractions summed to produce a total carbohydrate value: Navicula sp.l.
To utilize the spatial data correlation, we will jointly estimate the data from all the nodes, (textbf {x}_{k} = [x_{1k}, cdots, x_{textit {nk}}]^{T} in {mathcal {B}}^{N times 1}), based on the received signal vector, (textbf {y}_{k} = [y_{1k}, cdots, y_{textit {Nk}}]^{T} in {mathcal {C}}^{Ntimes 1}), where T represents matrix transpose, and is the set of complex numbers.
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T and -1 represent matrix transportation and inversing.
These hybrid functions and their operational matrices are used for representing matrix form of these equations.
For models that represent matrix cracks as discontinuities, the inclined crack topology complicates algorithms considerably.
Notation: We use boldface uppercase letter A and boldface lowercase letter a to represent matrix and column vector, respectively.
The proteins mainly represent matrix associated signal molecules and share a common modular structure [ 5, 6].
QUBIC converts a microarray data matrix into a simplified integer matrix called a representing matrix, from which it finds biclusters.
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CEO of Professional Science Editing for Scientists @ prosciediting.com