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Then for any t ∈ [ 0, τ ], if K, K ′ are large enough, we have lim K → + ∞ Z ( t ) = C − 1 y ( t ), lim K ′ → + ∞ Z ˜ ( t ) = C − 1 y ( t ), where K, K ′ → + ∞ means that any eigenvalue of the matrices tends to infinity.
However, the explicit point of view of matrices tends to obfuscate the matter, and the abstract and more powerful tools of functional analysis can be used instead.
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These results indicate that the proposed sensing matrices tend to outperform Noiselets when sensing natural images.
Human coronary artery smooth muscle cells (SMCs) seeded on nanofibrous matrices tend to maintain normal phenotypic shape and growth tends to be guided by the nanofiber orientation.
Especially with second (or higher) order derivatives in space, the corresponding differentiation matrices tend to have large spurious eigenvalues (leading, for example, to severe time step restrictions in case of explicit time-stepping methods).
Problems including multiplying matrices tend to increase in time, forcing us to switch between control flow algorithms and dataflow algorithms.
As a virtual microphone signal is similar to a linearly generated signal, the covariance matrices tend to cause rank deficiency, resulting in the distortion of the output signal of the beamformer.
These concepts can be applied to websites connected hyperlinks or cities connected by roads etc., in which case (unless the road network is extremely dense) the matrices tend to be sparse, i.e., contain few nonzero entries.
Although Mantel correlation tests considering D2 matrices tend to underestimate the permutation p-values [28], the very low p-values associated to our analyses favor the interpretation of significant correlation between the matrices.
The abundant matrix tends to bind the grains strongly and form a relatively hard rock.
In addition, the grain size decreased, and the interface between the coating and the steel matrix tends to be straight with increase in the Mg content.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com