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For convenience, in the following examples, the random matrix, the Hilbert matrix, the Toeplitz matrix, the matrix whose all elements are one and the magic matrix are all denoted as by the corresponding Matlab function.
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Like a city, Wikipedia is greater than the sum of its parts; for example, the random encounters there are often more compelling than the articles themselves.
For example, the random walk theory states that tomorrow's stock returns are statistically independent of today's returns — this is a very precise prediction.
The results are presented for a range of different theoretical landscapes, for example, the random energy model and the uncoupled case with the assumptions that the real protein landscape lies between these bounds and can be described statistically.
For example, the random search method [37] can be applied to find the solution of the multivariate minimization problem (24).
For example, the random access procedure can be optimized by applying cooperative relaying to reduce the direct links towards the base station.
For example, the random failure of power equipment is usually beyond the control of system personnel; loads will always be uncertain and it is impossible to forecast the load exactly precise.
In the KL dataset, for example, the random WNC scores ranged from 208 to 209.
For example the random sheared BACs of the Arabidopsis thaliana genome played a crucial role in centrometric gap closure of the Arabidopsis physical map [ 26].
In our empirical zebra finch example, the random slope SDs are 0.18 0.34 (median 0.23) for egg size and 0.18 0.45 (median 0.24) for yolk hue.
For example, the random concatenation of N-mers as tiles artificially introduces dinucleotide composition bias created from the border of two adjacent oligonucleotide tiles – producing an overrepresentation of CpG dinucleotides and the like that do not match the SRI natural sequences.
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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