Sentence examples for essential net from inspiring English sources

The essential net worths vector w ∗(p,q) exists and is unique.

The essential net worths vector is defined as a solution of the non-linear fixed-point problem (1).

(b) We prove that the essential net worths vector is increasing in the payments p. The corresponding claim for the illiquid asset's price q can be proven analogously.

For all (pin mathbb {R}^{n}_,; qin mathbb {R}_): (a) The essential net worths vector w ∗(p,q) exists and is unique.

We have that θ(p 1,q 1)≥θ(p 2,q 2), because the essential net worths vector is monotone in the price-payment pairs due to Lemma 2.2 (b).

The (sloppy) notation w ∗ x,y) refers to the essential net worths vector corresponding to the payment vector p (k+1); its components are equal to x i for the defaulting banks (iin mathcal {D}_{k}) and equal to (bar {p}_{i}) for the surviving banks (iin mathcal {S}_{k}).

It is also an essential safety net for those living with dementia.

Verdict: A trail-blazer on mental health; extra cash may be eclipsed by Tories' £8bn pledge WELFARE Would support "limited welfare reductions so we do not destroy the essential safety net that protects us all in times of crisis".

Though it provides an essential safety net for the poor and disabled, it does so with spectacular inefficiency because "too many people are allowed in and too many are gaming the system," says Robert Helms of the American Enterprise Institute, a think-tank.You don't have to be poor to qualify for Medicaid.

It argues that, far from cutting bureaucracy, the changes will remove "an essential safety net for children when they are failed by their local authority".

Optimal foraging theory therefore posits that evolution and/or learning has shaped animal behavior to maximize the average or long-term return rate from essential resources, net the costs of encounter, acquisition and processing.