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The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a "generalized" subharmonic operator bounded from below by the dissipative part of the infinitesimal generator.
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He is driven to prove, whenever the opportunity arises, that the leftwing, humanist values his parents espoused (and which he adopted) are in fact the very opposite of "un-American".
which proves, whenever This completes the proof.
"Everyone has a point to prove whenever a new manager comes into a club, everyone will be on a level playing field again," he said.
The diagnosis of carcinoma of the bronchus should be proven whenever possible by the least invasive technique.
This device for rapid immobilization of prey has proved successful whenever it has occurred, and several different lines of evolution can be detected both in the type of injector tooth and in the chemical composition or mode of action of the venoms.
* Similarly, I took the extensive information about Frieda's family provided to me by her niece (and only surviving relative) to be reliable because her memories were detailed and proved accurate whenever they could be checked against written sources (such as genealogies, published accounts of family reunions, and photographs, many of which she offered to me as documentation).
Such formulas can be proved false whenever they in fact are false: if false, there would be a number n such that F ⊢ PrfF n, ⌈GF⌉) (this holds already in Q).
This symmetry will generally preserve only a patch of tiles around the center point, but the patch can be very large: Conway and Penrose proved that whenever the colored curves on the P2 or P3 tilings close in a loop, the region within the loop has pentagonal symmetry, and furthermore, in any tiling, there are at most two such curves of each color that do not close up.
Following massive displacements and growing statelessness after the World Wars, Arendt noted that such "supposedly inalienable" rights proved unenforceable "whenever people appeared who were no longer citizens of any sovereign state" [ 20].
Significant differences in continuous variables among more than two groups were confirmed by the ANOVA test whenever data proved to be normally distributed; otherwise, the Mann-Whitney U test was applied.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com