Sentence examples for thus statement from inspiring English sources

Thus, statement (ii) has been proved.

Thus statement in Theorem 3.3 is applicable and as a corollary of it we obtain the following.

We have: (a) For each (w^{0}in A) and for each (win A), the sequence ((w^{m}=T^{[m]}(w^{0}):min {0}cupmathbb{N})) is left and right (mathcal{P}_{{1};{1}} -convergent to w, and thus statement (A) holds.

Moreover, if (i) is true then the act of F-ing is identical with or is a proper part of the agent's attempt to G. Thus, statement (ii) offers what purports to be, in effect, a mere redescription of the act of F-ing.

Thus, statement 4 is proven.

Thus statements or speeches critical of Israel – like a number of public lectures I have given in Canada – may now be classed as statements against Jews (even though Jews are often among the organisers of my own speaking engagements in America).

Thus statements about subsequent 10-year returns are a bit more meaningful than they can be when covering 30-40 years when there are, by necessity, only 3-4 discrete periods.A lot of people think that anything before the 1970s is irrelevant, citing world wars, accounting standards or so on.

Thus, statements of type theory are wffs of type ο.

Thus, statements about the geometry of space are apparent hypotheses or conventions that appear to be making descriptive claims, however they are actually closer to definitions, though they cannot be reduced to being merely linguistic.

Thus, statements about the performance of temporal artery thermometry under conditions of hypothermia are limited.

Thus, statements like Conclusion 1 in "Summary and Conclusions" are inappropriate.