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complex Gaussian circularly symmetric random variables with unit variance (without loss of generality); this means that both channel matrices are almost surely of full rank (i.e.e ).e
The procedure aims to obtain bases in such way that the condition numbers for the element matrices are almost constant or have a moderate increase in terms of the polynomial order.
LDA faces difficulties in cases of high dimensional data, where the LDA matrices are almost always singular [ 51].
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The cell density on the 20% γ-PGA-modified matrices was almost triple that on the unmodified chitosan matrices on day 5.
The PSNR values of reconstructed images by the SKP measurement matrix are almost 4 dB higher than that by the random measurement matrices.
SEM and EDS results indicated that the pores of the matrix were almost filled by the La2O3 Al2O3 SiO2 glass.
Below 280 K the crystallization kinetics of the matrix was almost the same with the nanocomposite samples.
The thermal decomposition of the matrix was almost completed up to 500 °C, and the shrunk matrix coexisting with glass fibers had a residual tensile stress along the fiber direction.
It is summarized that in both classes of siliceous sponges, the inorganic matrix is almost indistinguishable and comprises amorphous opal, which contains traces of other elements.
The more structurally related genes (muscle, cytoskeletal, cuticular, and extracellular matrix) were almost exclusively higher in proximal expression, while the morphogenesis and transcription factors had nearly equal representation of proximal and distal genes.
The largest non-immune-related element of the stromal signature is a cluster of genes associated with extracellular matrix which are almost certainly expressed specifically in fibroblasts/myofibroblasts.
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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