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The potential of our proposition is demonstrated with the analysis of 2-hydroxy-fluorene, 1-hydroxy-pyrene, 3-hydroxy-benzo[a]pyrene and 9-hydroxy-phenanthrene in synthetic urine samples.
If, by this contention, it is intended to suggest that the South Carolina law was not passed in the exercise of the police power of that state, and must be treated as a revenue law from the mere fact that some revenue results from the operation of the law, the unsoundness of the proposition is demonstrated by the previous cases.
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In the third section, some fundamental mathematical deductions and main propositions are demonstrated.
Theorem, in mathematics and logic, a proposition or statement that is demonstrated.
(The theorem is demonstrated in Proposition 47 of Book I of Euclid's Elements).
If noise is positively correlated over time, we obtain a qualitatively different result, as is demonstrated in Proposition 3. If (lambda > 0) and sufficiently high and (v) sufficiently high, there exists a critical value (hat{gamma }^{R} in (0,1)) such that (U^{R*} { lesseqgtr }U^{R**}) if (gamma { gtreqless }hat{gamma }^{R}) for (gamma in (0,1)).
Next, its utility is demonstrated through the proposition of a new lamination scheme in which a conventional laminated composite plate (CLCP) is converted to a graded laminated composite plate (GLCP).
From these, the first proposition necessarily follows, and every subsequent proposition can be demonstrated using only what precedes it.
We might well leave the unsoundness of the proposition to be demonstrated by what we have previously said, and also by the fact that, in Leisy v. Hardin and Lyng v. Michigan, and most of the similar cases relied on, the decisions in Woodruff v. Parham and Brown v. Houston were referred to without even an intimation that those cases were deemed to be overruled or even qualified.
This proposition can be demonstrated by the repeated failure of the Pentagon to pass a financial audit.
(A VI iv 758/LLP 61) And an impossibility, not surprisingly, is defined as a proposition that can be demonstrated to generate a contradiction in its analysis.
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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