Sentence examples for estimate is valid for from inspiring English sources
The estimate is valid for a fairly general class of frames — requiring that the dimension of the Hilbert space and the number of frame vectors is relatively prime.
We recall that this estimate is valid for all y ∈ D and ρ with D ρ ( y ) ⊂ D R / 2 ( x 0 ), and we assume only the smallness condition (4.19) on I ( x 0, R ).
Recalling that this estimate is valid for all y ∈ D and ρ with D ρ ( y ) ⊂ D R / 2 ( x 0 ), assuming only the condition (4.20) on I ( x 0, R ).
This relation tells us that the intensity I 2 depends on the product of s and r: where the last estimate is valid for the scattering angle θ = 90° representative for most experimental set ups.
The approach separates the evaluation of the MI procedures from the component of variability associated with repeated sampling of the original dataset, based on the assumption that the complete-data estimate (and associated variance estimate) is valid for the complete-data sampling model.
Be clear about how long the estimate is valid for and how much time you will need to complete the project.
The following standard estimates are valid for (nu= 0, 1): begin{aligned}& biglVert varphi^{(nu)}(x, mu bigrVert, biglVert varphi^{* nu)}(x, mu) bigrVert le C |theta|^{nu },quad mu= theta^{2} ingamma, & biglVert tilde{Phi}^{(nu)}(x, lambda) bigrVert le C | rho|^{nu- 1} exp bigl -vert tau vert xbigl -vert lambdanotau tilde{Lambda}cup{ 0 }.
These associations could be checked in the literature; however, the assumption is necessary that the literature-based estimates are valid for the population under investigation.
It is acknowledged that young stock and beef herds cannot be tested using milk samples, however it was assumed that the serum ELISA used on these animals would perform equally well [ 15– 17], and that the estimates were valid for young stock as estimated.
Since (erho _1le 1,) this estimate is valid also for (j=1).
