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They showed the Mazur-Ulam problem on non-Archimedean 2-normed spaces using the above statement.
Using the above statement the following Tikhonov solution is proved: {mathbf{m}}_{text{Tikh}} = left[ {{mathbf{G}}^{text{T}} {mathbf{G}} + varepsilon^{2} {mathbf{I}}} right]^{ - 1} {mathbf{G}}^{text{T}} {mathbf{d}}.
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No information on the actual usage of air-conditioning in Cyprus was available, and since the prevalence does not necessarily reflect the actual use, the above statement cannot be regarded as conclusive.
Using the above method: 10x/2 = 5x.
Among the speculative statements retrieved using the above-defined strategy, we were particularly interested in the ones speculating about the possibility that a particular protein (or gene) could be a possible biomarker.
Note that the above statement implies using the same sub-carriers to convey information in both systems.
These authors have interpreted the above statement as claiming that using replication groups, by itself, reduces "the false positive rate" [[ 5], page 2], and can therefore "... improve... any type of feature ranking and selection procedure... .......... [[ 5], page 1].
And as the above statement from the military indicates, the use of the blood chits in America's recent wars has largely been kept from public view.
Do you agree with the above statement?
Suppose that the above statement is false.
Suppose the above statement is false.
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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