"approximation without" is a grammatically correct phrase that can be used in written English.
It is typically used when describing a situation or calculation where an exact or precise measurement is not available. Here is an example of how this phrase could be used in a sentence: "The scientists were able to make an estimation of the earthquake's magnitude, but it was just an approximation without access to precise data."
These sutures self-anchor, maintaining tissue approximation without the need for surgical knots.
In the case of first nearest approximation without orbital overlap, Sn,n-1 and Sn,n+1 are empty matrices.
Heaviside enrichment and linear elastic asymptotic displacement fields are added to the finite element approximation without mesh generation near initial cracks.
However, the convection term in the energy equation is evaluated in this model with proper approximation without calculating the velocity field.
The findings show that predicting if a question will end up in the Dark Side is feasible, although with some approximation, without relying on content features.
The proposed algorithm adopts the lowest possible transmission power with the help of SNR approximation without affecting the VoIP service quality.
This development involved experimenters and theoreticians working in harness; the results of specially revealing experiments served to check the validity of approximations without which the calculations would have required excessive computing time.
Such schemes permit the construction of higher order approximations without recourse to characteristic decomposition.
We considered magnetoexcitons in the ladder approximation and magnetoplasmons in the random phase approximations without taking into account vertex corrections and screening.
The convergence rates of the regularized solutions are estimated not only in the infinite-dimensional space, but also in connection with its finite-dimensional approximations without the weakly sequential continuity of the dual mapping.
In this study, we find that (i) polyharmonic splines (PHS) in conjunction with supplementary polynomials provide a very simple way to defeat stagnation (also known as saturation) error and (ii) give particularly good accuracy for the tasks of interpolation and derivative approximations without the hassle of determining a shape parameter.
