On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization

The method of Least Squares is due to Carl Friedrich Gauss. The Gram-Schmidt orthogonalization method is of much younger date. A method for solving Least Squares Problems is developed which automatically results in the appearance of the Gram-Schmidt orthogonalizers. Given these orthogonalizers an induction-proof is available for solving Least Squares Problems.

The three systems for the protection of fundamental human rights in the European Union and exceptional measures against terrorism: the case of extraordinary extraditions (the CIA flights) with special reference to the Spanish case

This document is aimed first of all, make a small introductory reference on the three levels of protection of fundamental rights in Europe with the idea of helping to clarify and understand mainly to non-European systems that we are not talking. For that, based on this, going on to assess the impact generated in these systems suggest that the complaints alleged involvement of European countries in secret CIA flights to combat international terrorism, as well as investigate the responses that have given each protection of these areas to try to clarify them. 

Palm-plantar pallor as a diagnostic method of mild-moderate anemia

Objective: to determine the palm-plant paleness’ characteristics in Colombian infant rural population, as a diagnostic method of anemia, and to establish a correlation between the finding of palm-plant paleness and the Hematocrit values. Methodology: a cross sectional study was used to evaluate 169 boys and girls, between 2 months and 12 years old, of the rural area of San Vicente del Caguan, who entered into a Health Campaign. Following the signature of an informed consent, parents accept their children to participate in the study. Those with acute or chronic pathologies were excluded. The presence of palm-plant paleness was determined by observers trained in the Integrated Management of Childhood Illness (IMCI) Strategy. Hematocrit was measured to all children, as well as a peripheral blood smear. Interrater concordance evaluation (Kappa index) was determined through a pilot test and a validation (sensitivity, specificity) was performed, using Hematocrit as the standard. Results: 93 of the participants were male and 77 were female. 45% of them had palm paleness. The Hematocrit showed anemia in 34.1% of the children. The validation analysis demonstrated a 67.2% of sensibility, a 66.6% of specificity, a 51.3% of positive predictive values and a 79.5% of negative predictive values. Hypochromic and Eosinophilia were found in most of the peripheral blood smears’ children with anemia. Conclusions: although this tool presents a low sensibility and specificity for low/moderated anemia, it is useful for excluding it in infants without palm paleness.

Elimination of collaborative inhibition effect using the Method of Loci

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Compensatory signal processing for profoundly hearing-impaired listeners: the transmission of fundamental frequency

This paper reviews a study to determine the usefulness of signal processing along with lipreading in improving speech perception of profoundly hearing impaired persons.

Dialogue journal writing: an effective method of improving the writing skills of hearing-impaired children?

This paper discusses a study to determine if dialogue journal writing can improve the writing skills of hearing impaired children.

The Court of Justice of the European Union as a fundamental rights tribunal: challenges for the effective delivery of fundamental rights in the area of freedom, security and justice. CEPS Paper in Liberty and Security in Europe No. 49, 29 August 2012

This paper reflects on the challenges facing the effective implementation of the new EU fundamental rights architecture that emerged from the Lisbon Treaty. Particular attention is paid to the role of the Court of Justice of the European Union (CJEU) and its ability to function as a ‘fundamental rights tribunal’. The paper first analyses the praxis of the European Court of Human Rights in Strasbourg and its long-standing experience in overseeing the practical implementation of the European Convention for the Protection of Human Rights and Fundamental Freedoms. Against this analysis, it then examines the readiness of the CJEU to live up to its consolidated and strengthened mandate on fundamental rights as one of the prime guarantors of the effective implementation of the EU Charter of Fundamental Rights. We specifically review the role of ‘third-party interventions’ by non-governmental organisations, international and regional human rights actors as well as ‘interim relief measures’ when ensuring effective judicial protection of vulnerable individuals in cases of alleged violations of fundamental human rights. To flesh out our arguments, we rely on examples within the scope of the relatively new and complex domain of EU legislation, the Area of Freedom, Security and Justice (AFSJ), and its immigration, external border and asylum policies. In view of the fundamental rights-sensitive nature of these domains, which often encounter shifts of accountability and responsibility in their practical application, and the Lisbon Treaty’s expansion of the jurisdiction of the CJEU to interpret and review EU AFSJ legislation, this area can be seen as an excellent test case for the analyses at hand. The final section puts forth a set of policy suggestions that can assist the CJEU in the process of adjusting itself to the new fundamental rights context in a post-Lisbon Treaty setting.

Comparing sampling needs for variograms of soil properties computed by the method of moments and residual maximum likelihood

It has been generally accepted that the method of moments (MoM) variogram, which has been widely applied in soil science, requires about 100 sites at an appropriate interval apart to describe the variation adequately. This sample size is often larger than can be afforded for soil surveys of agricultural fields or contaminated sites. Furthermore, it might be a much larger sample size than is needed where the scale of variation is large. A possible alternative in such situations is the residual maximum likelihood (REML) variogram because fewer data appear to be required. The REML method is parametric and is considered reliable where there is trend in the data because it is based on generalized increments that filter trend out and only the covariance parameters are estimated. Previous research has suggested that fewer data are needed to compute a reliable variogram using a maximum likelihood approach such as REML, however, the results can vary according to the nature of the spatial variation. There remain issues to examine: how many fewer data can be used, how should the sampling sites be distributed over the site of interest, and how do different degrees of spatial variation affect the data requirements? The soil of four field sites of different size, physiography, parent material and soil type was sampled intensively, and MoM and REML variograms were calculated for clay content. The data were then sub-sampled to give different sample sizes and distributions of sites and the variograms were computed again. The model parameters for the sets of variograms for each site were used for cross-validation. Predictions based on REML variograms were generally more accurate than those from MoM variograms with fewer than 100 sampling sites. A sample size of around 50 sites at an appropriate distance apart, possibly determined from variograms of ancillary data, appears adequate to compute REML variograms for kriging soil properties for precision agriculture and contaminated sites. (C) 2007 Elsevier B.V. All rights reserved.

On defining base units in terms of fundamental constants

The definitions of the base units of the international system of units have been revised many times since the idea of such an international system was first conceived at the time of the French revolution. The objective today is to define all our units in terms of 'invariants of nature', i.e. by referencing our units to the fundamental constants of physics, or the properties of atoms, rather than the characteristics of our planet or of artefacts. This situation is reviewed, particularly in regard to finding a new definition of the kilogram to replace its present definition in terms of a prototype material artefact.

The method of least squares used to invert an orbit problem

Six parameters uniquely describe the orbit of a body about the Sun. Given these parameters, it is possible to make predictions of the body's position by solving its equation of motion. The parameters cannot be directly measured, so they must be inferred indirectly by an inversion method which uses measurements of other quantities in combination with the equation of motion. Inverse techniques are valuable tools in many applications where only noisy, incomplete, and indirect observations are available for estimating parameter values. The methodology of the approach is introduced and the Kepler problem is used as a real-world example. (C) 2003 American Association of Physics Teachers.