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By miniaturization of the dimensions, higher and higher sensitivities can be achieved.
However, it becomes prohibitively expensive for problems with dimensions higher than 5.
Earlier analytical studies have shown that these phenomena occur for inclusions with dimensions higher than a critical radius.
A new formulation is proposed to directly extend the virtual transfer function between inputs (VTFBI) approach to ill-conditioned systems with dimensions higher than 2 × 2.
Additionally, in the worst case, the Čech complex can have dimension (|mathcal {U}|-1), and it therefore can have many simplices in dimensions higher than the dimension of the underlying space.
In our case, the observed variations of the signal magnitude with the capillary radius are due to the fact that the fluorescent zone has dimensions higher or of the same order of magnitude than the capillary radius.
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Due to the small fiber dimensions, high-quality images with appropriate magnifications are required.
Remarkably, the resulting compressed AG films showed uniform morphology in lateral dimensions, high conductivity (60 S/cm), nanoporous feature (<10 nm), and high packing density (0.8 g/cm3).
For example, the block Toeplitz matrices corresponding to covariances of a stable singular AR model with dimensions high enough will be singular and thus only positive semidefinite.
Moreover, TNTs with controllable dimensions, high surface-to-volume ratio, and hollow structures have been demonstrated to be superior platforms for local antibiotic delivery applications [ 13– 17].
For a dimension higher than three, the size of the generated tree depends on the bisected LE.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com