Sentence examples for in foregoing cases from inspiring English sources

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 → ∞.

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.

A typical Newtonian nanofluid can be found in foregoing Fig. 11.

He is far from alone in foregoing a trial by jury in fear of decades behind bars if found guilty.

We found these concentrations to be optimal in foregoing dilution series.

While it may be perfectly legitimate, from a narrow regulatory vantage point, to waive research oversight in such cases, foregoing governance of secondary research uses could prove, in certain cases, ethically inadequate [ 26].

The more linearI V characteristics than the foregoing two cases yield larger values in the fitting parametersh and smaller values in the voltage scale parameterV 0as shown in Table 3.

The foregoing problem cases are generally developed under the rubric of "false beliefs" or "the disjunction problem" in the following way and can be traced to Fodor (1984).

However, the foregoing worst case scenario was misleading for health policy in many circumstances from 2009 to 2010, and a specific lesson for modeling is that we have to constantly consider the point of variations in pandemic potential (e.g. consider wide variability in the severity).