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Exact(2)
The validity of these expressions was verified through the analysis of experimental results.
(2) The expected number of tracts equal or greater (GE) than a given length l, N(≥l), can be shown to be [ 9]: N(≥l) = L (p x q l + q x p l ). (3) The expected number of bases in these tracts, n(≥l), is: n(≥l) = L {(p + ql) p l + (q + pl) q l }. (4) The validity of these expressions was tested by generating random DNA sequences and running them by TRACTS.
Similar(58)
To test the validity of the expressions presented and the accuracy of the CLT approximation, random binary and 4-ary hash sequences were drawn from the Markov chain model.
Furthermore, the validity of the expressions has been shown for weak and strong stretch by comparing the results with numerical results of lean stretched premixed methane/air flames, computed with skeletal chemistry.
The program (a) supports both the arithmetical and algebraic way of solving problems; (b) allows the recurrence to one or more equations when solving a problem in an algebraic way; (c) determines the validity of the expressions when they are introduced; and (d) admits the incorporation of new problems without the need of being reprogrammed.
with the very small value ε ensuring the validity of the expression.
The chapter analyzes the test results, gives the load bearing capacity calculation expression, and verifies the validity of the expression.
This allows for the validity of the expression to be verified for different soil and pipe conditions.
The validity of this expression was verified for 66 concretes of the literature with natural aggregates (see Table 8 in "Appendix" section).
Moreover, an expression has been established to describe the amount evolution of soluble Nb in high Nb microalloyed steels during reheating and the validity of this expression has also been verified by experiment.
Supporters said that the publication of the cartoons was a legitimate exercise of free speech regardless of the validity of the expression, that it was important to openly discuss Islam without fear or that the cartoons made important points about topical issues.
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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