Sentence examples for as in the foregoing case from inspiring English sources

Analogously as in the foregoing case, (3.2) will be satisfied, if--due to (2.8 --the following Hardy-type inequality for the function h with weight functions U(x) = |Q n (x)| q u(x), V(x) = x-(n-1)pv(x) will be satisfied: ∫ a b ∫ x b h ( t ) d t q Q n ( x ) q u ( x ) d x ≤ C 2.8 --theb h ( x ) p x - ( n - 1 ) p v ( x ) d x q p. (3.7).

The foregoing cases may be contrasted with the position in the United States.

We believe this ethical framework, exemplified by the foregoing cases, should guide physicians faced with such dilemmas in the intensive care unit.

It can be shown as in foregoing cases that the class of functions { h z, z ∈ ( 0, ∞ ) } weakly converges to zero in L q ′ as z → ∞.

As in the foregoing section, all topological spaces are metric, all single-valued mappings are continuous and all multivalued mappings are compact-valued.

As soon as the foregoing has been fully implemented there will almost certainly be no more slaughters in the protected venues.

As highlighted in the foregoing section, this paper originates from a larger cross-sectional case study that was carried out in two districts, namely Mkuranga and Mufindi, in Tanzania.

The problem as stated in the foregoing is a condition of dystechnia.

However as implied in the foregoing section, for Kûkai the hosshin is identified with the Buddha Dainichi.

As explained in the foregoing, each set (adaptive capacity, sensitivity and exposure) is composed of different variables.

This standpoint, as mentioned in the foregoing, relies on the discursive mode of reasoning to understand reality, while presupposing an ego-consciousness as the standard referential point.