Sentence examples for former expression from inspiring English sources

His face assumes its former expression of puzzlement as he looks at his children, and he stretches out his hands to them.

Using (4) in the former expression, we get S = prox γr ( S − γ ∇ f ( S ) ) (6).

Therefore, from former expression, we can see that only the signature code is required at the receiver side.

If β > α, then the left-hand side of the former expression is increasing in κ, whereas the right-hand side is constant.

The former expression shows that Aristotle has his doubts about the connections between these philosophers and Pythagoras himself.

Substituting in a22 the steady-state condition (26), the former expression becomes: a22 = frac{partial_{dot{psi}}} {partial_{psi}} = frac{r + xi}{(1 - phi)} - frac{(2 - phi) (r + xi)}{phi - 1}.

The former, expressions of the Momoyama sensibility at its most lyrical, have been attributed to Unkoku Togan (the founder of the Unkoku school), while the latter are by his son Unkoku Toeki.

A comparison between effectiveness factors predicted by approximate formulas to those given by the more accurate numerical solutions suggests that these former expressions underestimate the catalyst effectiveness and consequently are safe to employ for initial design estimates.

If it happens that GP finds expressions using a small number of variables with a better fitness value than the ones using all variables, the former expressions survive into the population, while the latter ones are extinguished.

In the former, CD9 expression was evaluated in different types of brain tumours, and they concluded that CD9 expression in astrocytic tumours correlated with their malignancy and thus CD9 protein may have a different role in brain tumours than solid tumours elsewhere.

PMM1629 has the same phasing as kaiB, which raises the possibility that the former regulates expression of the latter, although the reverse scenario might also be true.