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If sufficient support can be gathered this way, Socrates considers the cluster as a valid break point and includes it in the output.
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We propose a novel analysis method called double differential cryptanalysis comparison (DDCC) that is valid to break multi-round encryption with 16N2+1 chosen plain-images, where N2 is the size of the image.
Shortly after Sept. 11, George W. Bush told his budget director that the only valid reasons to break his pledge not to run budget deficits would be if the country experienced recession, war or national emergency.
It's a shame it took mountains of sleaze, tremendous shareholder losses, a financial crisis and taxpayer bailouts for Weill to see the light because there are many valid reasons to break up the banks.
Dawes also argued that "condemnation of the condemners" could be seen by some as a valid reason for breaking the law, rather than just an excuse after the fact.
It condemns many of the valid print tales that break each morning to obscurity by simply not having the time to report them.
Part of the process of computing valid repetitions was to break up maximal extended repetitions below the threshold into smaller valid repetitions.
Clicks are broken down as "valid" or "invalid", with "invalid" ones further broken down into "innocuous invalid" and "attempted click fraud".
By October 1900, however, other colleagues at the PTR, the experimentalists Otto Richard Lummer, Ernst Pringsheim, Heinrich Rubens, and Ferdinand Kurlbaum, had found definite indications that Wien's law, while valid at high frequencies, broke down completely at low frequencies.
Since not all maximal extended repetitions are valid repetitions, we must therefore break up these maximal extended repetitions into valid repetitions to solve Problem 2. In order to break up the maximal extended repetitions, we must compute some additional information.
On the other hand, age at first nocturnal emission and voice break are considered valid indicators of pubertal development in boys, comparably to age of menarche in girls.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com