Sentence examples for negative dual from inspiring English sources

(3)When is a closed convex cone in, we denoted by and called the negative dual cone of.

When C is a closed convex cone in R n, we denote N C ( 0 ) by C ∗ and call it the negative dual cone of C. Proposition 2.1 [2.1.

Then we introduce a general construction for signed dual volume to incorporate material information and take into account the case when circumcenters fall outside triangles or tetrahedrons, which may lead to negative dual volume without Delaunay triangulation.

The sign attribute of the input elements describes whether the relationship between the input and output elements is positive, negative, dual or unknown.

In this study, none of the women with BMD and a negative dual-stained cytology result developed CIN3+ over a period of up to 9 years.

(D ) Model depicting loops that regulate the duration of the pERK wave in response to receptor tyrosine kinase (RTK) signaling includes both negative (dual-specificity phosphatases [DUSPs]) and positive (kinases, GE Fs components from the delayed transcriptional response.

However, the 5-year cumulative CIN2+ incidence risk of a woman with BMD and a negative dual-stain result was 4.3%95%5% CI: 1.0 7.6%) compared with 0.8%95%5% CI: 0.0 2.4%) in women with BMD and a negative HPV test result.

where and are the non-negative dual variables corresponding to the interference and power constraints respectively.

where λ and ν are the non-negative dual variables associated with the corresponding constraints C1 and C2, respectively.

Therefore, denoted {γ k } and {φ i } a set of non-negative dual variables associated to the k th per-BS power constraint and the i th per-user transmission rate, respectively, the optimal solution to (27) for fixed {γ k } and {φ i } is given by T i * = V i H B γ V i - 1 / 2 W i P i W i H V i H B γ V i - 1 / 2 r 1 i γ k, φ i = ∑ j = 1 m i log 2 1 + λ ij 2 γ k p ij γ k, φ i i = 1, …, R (34).

Denoting by {γ k } a set of non-negative dual variables associated to the k th per-BS power constraint, the optimal solution to {φ i } for a set of fixed {γ k } is given by φ i * = { 0 if r 1 i γ k, 0 ≤ min α 2 r 2 i / α 1, S max m i μ i - ln 2 · 2 min α 2 r 2 i / α 1, S max m i - ∑ j = 1 m i log 2 λ ij 2 / m i otherwise i = 1, …, R (16).