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Note that in practice, separated 2D/1D transforms are used instead of the 3D transform due to efficiency reasons.
The results highlight the fact that the value of αb is strongly dependent on how the condensed phase is in practice separated into the distinct surface and bulk phases.
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In practice, separating the language structure and the validation source code allows the validation to be adaptable to others languages and other profiles of the same language (e.g., the BDTV profile of NCL) without affecting its source code.
Nevertheless, many differences in practice separate Old Catholics from Roman Catholics.
In 1896, the U.S. Supreme Court had issued its "separate but equal" ruling in, which stipulated that segregation was permissible (in practice, separate was emphasized rather than equal).
In practice, separate data are often independent (conditional on H), so p(D2|H, D1) = p(D2|H) (i.e., if you consider H as specified, then D1 tells you nothing about D2 that you don't already know from H).
At all times, it seems, aesthetic questions cannot in practice be separated from other social interests.
That difference is, in practice, what separates grownup politics from shrill populism, effective government from sloganeering.
But Steven Aftergood, a government secrecy specialist with the Federation of American Scientists, said that it could be difficult in practice to separate whether someone had a malicious motive from whether someone had reason to believe that a disclosure would harm the country.
Thus, it is common in practice to separate transmissions and receptions in time domain, that is, TDD (time division duplex) or in frequency domain, that is, FDD (frequency division duplex) [7] in order to facilitate the implementation challenges.
Note that in practice, a separating hyperplane may not exist.
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