Sentence examples for Further bounds from inspiring English sources
Further bounds can be obtained by iteration of (6), which we write: y n ( x ) y n - 1 ( x ) = d n b n + 1 - a n + e n + 1 y n + 1 ( x ) y n ( x ) - 1. (15).
In (4.2) and (4.9), although t* and t ^ can be computed from (4.1), we can circumvent the computation by giving further bounds.
Remark 4 Observe that [ f A 2 ( | λ | p ) − f A 2 ( | λ | 2 p ) ] 1 / p = D f 1 / p ( | λ | p ). and then further bounds for the inequality (3.25) may be provided by the use of Remark 3.
It is separated from the remainder of the province and the Canadian mainland by the 2-mile- (3-km) wide Strait of Canso (southwest) and is further bounded by the Gulf of St. Lawrence and Cabot Strait (north), the Atlantic Ocean (east and south), and Northumberland Strait (west).
which can be further bounded as follows: (D.103).
The upper and lower bounds are then used to determine one of the following two outcomes: split the subset S i into more subsets for further bounding, or discard the subset S i from the searching space, which is also referred to as pruning and is the reason why the BB algorithm is more efficient than exhaustive search.
The values for (g_{y}) in these cases are typically within 0.3% of 1.0, and as such in the interest of maintaining a bounded solution for Eq. (5), we have used (g_{0} = 1.0) as a further bounding solution and set (g_{y} = 1.0) in these cases.
Further, bounded or unbounded wells used by the community were considered as common wells.
The individual fluxes are further bounded as ν j − ≤ ν j ≤ ν j + to model, for example, constraints imposed by thermodynamics, availability of nutrients, and maximum reaction rates.
In the following, we further derive bounds for the nonreal and real eigenvalues of the shift-splitting preconditioned matrix (mathcal {P}_{SS}^{-1}mathcal{A}).
Otherwise Generals other than McChrystal -- possibly some self-styled Douglas MacArthur -- may step out further of bounds, endangering America's democratic form of government.
