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Moreover, its numerical evaluation might create difficulties especially when the dimension of random effects is high.
Kidnappings of foreign oil workers accelerated, with a new dimension of random abductions in the centre of Port Harcourt.
Two parameters were calculated: the fractal dimension of random walk dw, and the fractal dimension of membrane structure df.
As a consequence we show optimal lower bound on the dimension of random almost spherical sections for these spaces.
The resistance to sulfur segregation-induced intergranular brittle fracture was evaluated by analyzing the fractal dimension of random boundary connectivity in the polycrystalline nickel specimens studied.
The computational efficiency and accuracy of the proposed method are not hampered by the probability level, dimension of random variable space, and curvatures of limit-state function.
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Miklos Racz: (1) A primer on exact recovery in the general stochastic block model; (2) Estimating the dimension of a random geometric graph on a high-dimensional sphere; (3) The fundamental limits of dimension estimation in random geometric graphs; (4) Entropic central limit theorems and a proof of the fundamental limits of dimension estimation.
The number of gPC terms increases dramatically as the dimension of the random input variables increases.
Furthermore, it is exacerbated when the sample size is much smaller than the dimension of the random field.
While the first group consists of proteins with extended maximum dimensions typical of random coils with no (or little) secondary structure, the second group comprises the so-called premolten globules (PMGs), which are more compact (but still less compact than globular or molten globule proteins) and conserve some residual secondary structure [30], [31], [32], [33], [34], [35].
The proposed approach generates a random measurement matrix, where the dimensions of the random measurement matrix are reduced to a quarter (or 1/16, 1/64, and even 1/256) of the number of dimensions, which are used for conventional CS.
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