Sentence examples for having already derived from inspiring English sources

Having already derived a linear-in-parameters signal model in Section 2, presented in (16), the next step is to estimate its parameters in (breve {h}_{i,p,mathbf {s}^{k}}(m)).

We have already derived great economic benefit through the North American Free Trade Agreement, or Nafta.

However, we have already derived two market clearing conditions in (4) and n equations in (9).

To this end, based on a number of hypotheses, we have already derived and published a theoretical model of the UF Falcon concentrator for treating dilute suspensions.

Buildings are not included here as a number of studies (e.g., Spence et al. 2005; Zuccaro et al. 2008; Jenkins and Spence 2009; Maqsood et al. 2014) have already derived fragility functions for different building typologies.

For example, ∃E tells us that if in the process of constructing a proof one has already derived ∃xα(x) and also β with α(a/x) as an auxiliary assumption then the inference to β is allowed.

where F B is the CDF of γ B and f E is the PDF of γ E. As we have already derived the CDF of γ B and PDF of γ E for respective schemes, we simply proceed to obtain the outage probability expression for each scheme by replacing the respective values in (30).

Sondheim and Lapine have already derived their lessons — it's as though they've adapted Bruno Bettelheim's interpretations rather than the original Grimm tales.

This finding is likely multifactorial and potential reasons for it include: that patients with tumors that express higher ER may have already derived maximum clinical benefit from antiestrogen therapy, that these tumors are biologically resistant to trastuzumab, or there is a complex interaction between hormone therapy, chemotherapy and trastuzumab benefit and tumor biology.

Its calculation requires the derivation of the likelihood function, which is not trivial but has already been derived in [ 22].

Other experts said Mr. Bush might also consider a more restrictive option: paying for research only on stem cell lines that have already been derived from human embryos.