Sentence examples for a thus for from inspiring English sources

(a) Thus, for the route X begin{aligned}& mathit{Stx}_{j} = sum_{k in mathrm{K}} sum _{iin mathrm{I}} w_{i} x_{ijk}, quad forall jin mathfrak{J}, end{aligned} (11) begin{aligned}& mathit{Vtx}_{j} = sum_{k in mathrm{K}} sum _{i in mathrm{I}} v_{i} x_{ijk}, quad forall j in mathfrak{J}.

(The cute suffix comes from the Brazilian refusal to end names with a consonant: thus, for example, Robert Redford comes out - much improved - as "Hobbidgy Hedgefordgy").

Consider that, at one site, any two haplotypes from the same generation cannot both be the ancestor of a. Thus, for any generation j, the expected probability of causing transition in S a) is θ × (1− IC j −1).

Hence which is in a contradiction with Thus, for all.

This fitting was done for a given thickness, thus for all ten thickness combinations.

Thus, for a given there is a such that.

Thus, for a given condition, (2) A dead = c ′ − y 0 − A inc − A dec, 1.

Thus, for a given TSS, only a subset of such splices may be annotated.

Thus, for a long time, he created a façade.

Thus, for a better method of dispersibility confirmation, a more effective dispersion analysis technique is required.

Thus for a longer battery Windows Phone has a chance.