Sentence examples for estimates of functions from inspiring English sources

In this chapter we deal with triple operator integrals and we apply triple operator integrals to estimates of functions of perturbed noncommuting pairs of self-adjoint operators.

Finally, we consider in Chapter 1 estimates of functions of normal operators and functions of d-tuples of commuting self-adjoint operators under perturbations.

Then f ( z ) = − p ∫ z 0 z u − p − 1 ⋅ exp ( 2 ( β − p cos α ) e − i α ∫ 0 u ω ( t ) t ( 1 − ω ( t ) ) d t ) d u ( z ∈ U ∗ ), where ω is analytic in with ω ( 0 ) = 0 and | ω ( z ) | < 1. Next, we discuss the coefficient estimates of functions belonging to the classes MS p and MC p.

By filtering out peptides originating from the "unknown protein space" and then appropriately weighting the contributions of remaining peptides, quantification of peptide distributions are much more accurate and will improve quantitative estimates of functions from metagenomic data.

Estimates of function without TKRs showed function would not have changed in MOST (23.2 at baseline to 22.4).

In addition, we could not examine medication effects and relied on the SOFAS and QLS, which although widely-used, are based on interview and provide only gross global estimates of functioning.

The procedure is designed to produce bias-robust estimates of autocorrelation functions and spectral density functions.

To obtain an estimate of function (f cdot)), we employ a B-spline basis.

For the purposes of this trial, a differential rate between shoulders will be calculated as it has been shown to provide a more precise estimate of function.

We obtain analogs of earlier results on estimates for functions of perturbed self-adjoint and normal operators.

The estimates of covariance functions between the arrays of digital results in measuring the intensity of vibrations and the estimates of covariance functions of single arrays were calculated upon changing the quantization interval on the time scale.