The phrase "attained hence" is not commonly used in modern written English, but it is grammatically correct.
It can be used in formal or literary contexts to indicate that something has been achieved or reached from a particular source or point.
Example: "The knowledge we have attained hence is invaluable for our research."
Alternatives: "achieved from" or "obtained from".
Large vessels with a low displacement power ratio must cover a considerable distance before steady speed can be attained; hence they need to make a long run before entering upon the measured distance.
where, as mentioned by Lowen in [1], the supremum is attained; hence, from Nguyen [12], we have F α ( x ) = { y ∈ R | y = P y 0, y 1, …, y n ( x ), y i ∈ J i α }.
Hence, the best validation error attained so far at the first epoch was chosen.
Hence, the training process that gave the best error attained so far at epoch 1 was chosen.
Hence, the model decided to stop the training process and selected the best validation error attained so far.
It is prudent to avoid taking on goals we cannot possibly attain, and hence prudent to eschew projects that cannot possibly be completed during the course of a normal lifetime.
Changes in the observed pressure drop due to oil presence, hence attained mobility reductions, were also recorded.
This works presents an analysis of required forces in the ECAE process considering a three dimensional geometry and hence attained results are more reliable than those obtained by assuming plane strain conditions.
We also interestingly see that the highest effective capacity is attained when M=1. Hence, secondary users seem to not benefit from the availability of multiple channels.
Hence, the attained current densities of enzyme substrate electrooxidation or electroreduction are much higher than with enzyme monolayers packed onto electrode surfaces.
Hence, planning attained a somehow enigmatic image in Western industrialized countries, being linked to progress, modernity and "a view of the world at once positivistic, linear and rational, celebrating the machine" [74 O'Hara, p 1; see also 72 Metzler; 95 Süß].
