Sentence examples for as explicitly in from inspiring English sources

In actual proof-theoretic practice, as well as explicitly in (Hilbert and Bernays, 1934; Bernays, 1930), these basic operations are generalized to operations defined by recursion, paradigmatically, primitive recursion, e.g., multiplication and exponentiation (see Parsons 1998 for a discussion of philosophical difficulties in relation to exponentiation).

Although we did not include the following as explicitly in our manuscript, we would like to point out that what might seem as minor technical differences between our and the Anisimov et al. (2015) study, can have severe implications for the study species and thus on the levels of conclusions that can be drawn (please also see the response to the first concern raised by Reviewer 1).

Muslim values, as explicitly described in the Quran and in the teachings of the Prophet, guarantee the right to life, the right to family, the right to property, the right to pursue our beliefs the way we want.

We did this, first, by focusing on mildly impaired subjects, who were assumed to have better health status than the average of all elderly users of the LTCI system, and second, by ruling out the probability of hospitalization episodes requiring "continuity" in the utilization of LTC services, as explicitly mentioned in the inclusion criteria.

This history invites many to reframe Aboriginal Peoples in Canada not as inferior (i.e., as explicitly stated in past Canadian federal policy), but as remarkably resilient given the fact that Aboriginal Peoples and communities are striving and growing across Canada [ 20].

The Muslim religious establishment is sternly opposed to homosexuality, which it sees as explicitly prohibited in Islam.

The classification process depends on the pixel history as explicitly denoted in (1).

The reduction of the spread of cyclotron frequencies, as explicitly modeled in theory, serves as the basis for our design.

It can also be proved that every (Z_{t}^{(i)}) is centred and bounded, as explicitly shown in the sequel.

As explicitly characterized in [15, Theorem  2], the optimal input covariance achieving the above region is chosen such that the confidential message is sent over subchannels where receiver 1 observes stronger signals than receiver 2.

As Maier noted, the scene didn't jump out as explicitly critical in 2009, writing on Crushable that she "just assumed the joke was that Tracy was crazy" -- a common theme throughout the series.