Sentence examples for hence, indeed from inspiring English sources

Moreover, the first order conditions for utility maximization of the husband implied by the Nash equilibrium with Q f  = 0 imply u Q m m = λ m P. Hence, indeed we are in regime HD.

It is worth mentioning that the main result in this paper could not be derived from Ćirić's result by the scalarization method, and hence indeed improves many recent results in cone metric spaces.

They are sub-states because one can be angry and fight, or angry and submissive, hence indeed some parameters are lacking.

Hence, selecting indeed seems to be a good choice.

Hence, the (indeed provocative) question in the title of this article.

It is worth mentioning that the main result in this paper could not be derived from Ćirić's result by the scalarization method, and hence it indeed improves the corresponding results of [1 4].

To determine whether these uORFs have characteristics similar to canonical genes, and hence might indeed represent transcribed protein-coding regions, we compared their A+T content, amino acid composition, and start and stop codon usage (supplementary tables S1 S3, Supplementary Material online).

Hence, there is indeed a notion of impartiality that makes sense, and there is indeed a notion of impartiality that is available to a moral theory such as utilitarianism; but the impartiality that is available to utilitarianism does not make sense, and the impartiality that makes sense is not available to utilitarianism.

Hence, Theorem 4 indeed improves Theorem 3.

Hence, Theorem 5 indeed improve Caristi's fixed point theorem.

Hence, Cmax is indeed the maximum channel capacity value.