Optimal Estimate Training 2 (OET-2)

2016 ◽  
Author(s):  
Alexandre Pinto Alves Silva ◽  
Victor Hugo Quintana ◽  
Germano Lambert Torres
Keyword(s):  
Optimal Estimate

scholarly journals Photometric Analysis of Wide and Narrow Hα Band Observations of R Canis Majoris

1992 ◽  
Vol 151 ◽  
pp. 303-306
Author(s):  
M. Taghi Edalati ◽  
Timothy Banks ◽  
Edwin Budding
Keyword(s):  
Hot Spot ◽  
Optimal Estimate ◽  
Mass Ratio ◽  
Transfer Effects ◽  
Photometric Analysis ◽  
Index Variation ◽  
Algol System ◽  
Low Mass ◽  
Low Mass Ratio ◽  
Optimisation Technique

Wide and narrow Hα lightcurves of R CMa were analysed using Wilson-Devinney (WD) and Information Limit Optimisation Technique (ILOT) approaches. A range of mass ratios, tested by both methods, led to an optimal estimate of around 0.45, at variance with the spectroscopic value. The distortion on the light curve affects the modelling, and so, in a second fitting, this was represented by a ‘hot spot’, associated with mass transfer effects. A semi-detached configuration was then derived. This is supported by the form of the Hα index variation, which has also been modelled. Although thus appearing as a ‘classical Algol’ system, R CMa retains its inherent peculiarity of low mass ratio with low period, which cannot be reconciled with conservative evolution scenarios.

On the L∞-maximization of the solution of Poisson's equation: Brezis–Gallouet–Wainger type inequalities and applications

2020 ◽  
pp. 1-14
Author(s):  
Davit Harutyunyan ◽  
Hayk Mikayelyan
Keyword(s):  
Modulus Of Continuity ◽  
Poisson’S Equation ◽  
Optimal Estimate ◽  
Poisson's Equation ◽  
Poisson Problem ◽  
Right Hand ◽  
Optimality Property ◽  
Image Position

Abstract For the solution of the Poisson problem with an L∞ right hand side \begin{cases} -\Delta u(x) = f (x) & {\rm in}\ D, \\ u=0 & {\rm on}\ \partial D \end{cases} we derive an optimal estimate of the form \|u\|_\infty\leq \|f\|_\infty \sigma_D(\|f\|_1/\|f\|_\infty), where σ D is a modulus of continuity defined in the interval [0, |D|] and depends only on the domain D. The inequality is optimal for any domain D and for any values of $\|f\|_1$ and $\|f\|_\infty .$ We also show that \sigma_D(t)\leq\sigma_B(t),\text{ for }t\in[0,|D|], where B is a ball and |B| = |D|. Using this optimality property of σ D , we derive Brezis–Galloute–Wainger type inequalities on the L∞ norm of u in terms of the L1 and L∞ norms of f. As an application we derive L∞ − L1 estimates on the k-th Laplace eigenfunction of the domain D.

scholarly journals Dark molecular gas in Pegasus–Pisces

2019 ◽  
Vol 486 (2) ◽  
pp. 2281-2289
Author(s):  
Emmanuel Donate ◽  
Samantha Blair ◽  
Zachary Chilton ◽  
Codie Gladney ◽  
Jeremy W Gordon ◽  
...  
Keyword(s):  
Molecular Mass ◽  
Spatial Resolution ◽  
High Latitude ◽  
Molecular Clouds ◽  
Large Region ◽  
Molecular Gas ◽  
Optimal Estimate

Abstract We examine the molecular content of a large region (∼2200 square degrees) in Pegasus–Pisces with an estimated dark molecular gas fraction of 59 per cent. Using the extensive CO(1-0) Southern Galactic hemisphere, high-latitude survey by Magnani et al. (2000), we re-examined the CO-detectable mass estimates for the region. By averaging all the CO spectra in subsections ranging in size from 3° × 3° to 15° × 15°, we decreased the rms of the averaged CO spectra by factors of 3–10, effectively trading spatial resolution for sensitivity. With the new spectra, we are able to make estimates of the CO-detectable mass as a function of sensitivity. Using the optimal estimate, the CO-detectable mass increases from 2200 to 4000 M⊙, thereby decreasing the dark molecular gas fraction in the region to 0.24. CO(1–0) observations with rms values in the 20–30 mK range can nearly double the molecular mass in regions with diffuse and translucent molecular clouds.

An Application of Kriging to Rainfall Network Design

1988 ◽  
Vol 19 (3) ◽  
pp. 137-152 ◽  
Author(s):  
U.M. Shamsi ◽  
R.G. Quimpo ◽  
G.N. Yoganarasimhan
Keyword(s):  
Spatial Variability ◽  
Network Design ◽  
The Other ◽  
Universal Kriging ◽  
Optimal Estimate ◽  
K Theory ◽  
Traditional Approaches ◽  
Generalized Covariances

Universal kriging techniques based on the generalized covariances corresponding to IRF-k theory, are applied to analyze the design of raingauging networks in regions where the spatial mean is not constant. The objective is to obtain an optimal estimate of watershed precipitation. For the purpose of analysis, symmetric and asymmetric hypothetical rainfall fields are considered. The hypothesized storms provide the bases for comparing the results of the analysis. The results are also compared with traditional approaches in current use. The investigation depicts the superiority of kriging techniques over the other methods. The effect of storm spatial variability on the network design is also examined.

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