Sentence examples for valid apart from from inspiring English sources

Of course, for these calculations to be valid, apart from the piecewise differentiability of q and P q), we must suppose that Mussa and Rosen (1978) adopted the implicit assumption that z is an everywhere continuous function.

However, estimates obtained from population-based surveys that use self-report are generally valid, apart from when there is a high demand for abstinence.

However, estimates obtained from population-based surveys that use self-reports are generally valid, apart from when there is a high demand for abstinence [ 28].

Apart from being valid and reliable, such a measure must also be simple, patient-friendly, and usable in all types of foot and ankle disorders (Suk 2009).

However, Lewis Lewis and Langfordd 1932) replied in SL that these alleged paradoxes are simply the result of entirely natural assumptions about valid deductive inference and entailment quite apart from the systems of strict implication, and thus are not a problem for the claim that strict implication provides an explication of deducibility and entailment.

Apart from being more valid, the proposed track-based calibration can be undertaken at a lower cost than its treadmill counterpart and may be more acceptable to individuals, especially to those who are not accustomed to walking on a treadmill.

random variables this assumption is valid if the antennas are located far apart from each other (at least separation between antennas).  .

Importantly, it does not follow that, in this case, there should be no limitations on permissible research with competent adults (apart from ensuring that they provide valid consent).

The meeting will be ringed by a heavy police presence to prevent anyone getting in apart from party representatives and others with valid passes to the Tory conference.

IRT observation of pain patients after noxious stimulation is the new way of IRT evaluation apart from side-to-side comparison established as the most valid [ 22].

Apart from that, in order to ease certificate revocation, each certificate issued will be valid for a certain period of time.