On the Arithmetic of Errors

An approximate number is an ordered pair consisting of a (real) number and an error bound, briefly error, which is a (real) non-negative number. To compute with approximate numbers the arithmetic operations on errors should be well-known. To model computations with errors one should suitably define and study arithmetic operations and order relations over the set of non-negative numbers. In this work we discuss the algebraic properties of non-negative numbers starting from familiar properties of real numbers. We focus on certain operations of errors which seem not to have been sufficiently studied algebraically. In this work we restrict ourselves to arithmetic operations for errors related to addition and multiplication by scalars. We pay special attention to subtractability-like properties of errors and the induced “distance-like” operation. This operation is implicitly used under different names in several contemporary fields of applied mathematics (inner subtraction and inner addition in interval analysis, generalized Hukuhara difference in fuzzy set theory, etc.) Here we present some new results related to algebraic properties of this operation.

Multiresponse Robust Engineering: Case with Errors in Factor Levels

2000 Mathematics Subject Classification: 62J05, 62J10, 62F35, 62H12, 62P30.

Clinical significance of medication reconciliation in children admitted to a UK pediatric hospital:observational study of neurosurgical patients

Background: In December 2007, the National Institute for Health and Clinical Excellence and the National Patient Safety Agency in the UK (NICE-NPSA) published guidance that recommends all adults admitted to hospital receive medication reconciliation, usually by pharmacy staff. A costing and report tool was provided indicating a resource requirement of d12.9 million for England per year. Pediatric patients are excluded from this guidance. Objective: To determine the clinical significance of medication reconciliation in children on admission to hospital. Methods: A prospective observational study included pediatric patients admitted to a neurosurgical ward at Birmingham Childrens Hospital, Birmingham, England, between September 2006 and March 2007. Medication reconciliation was conducted by a pharmacist after the admission of each of 100 consecutive eligible patients aged 4 months to 16 years. The clinical significance of prescribing disparities between pre-admission medications and initial admission medication orders was determined by an expert multidisciplinary panel and quantified using an analog scale. The main outcome measure was the clinical signficance of unintentional variations between hospital admission medication orders and physician-prescribed pre-admission medication for repeat (continuing) medications. Results: Initial admission medication orders for children differed from prescribed pre-admission medication in 39%of cases. Half of all resulting prescribing variations in this setting had the potential to cause moderate or severe discomfort or clinical deterioration. These results mirror findings for adults. Conclusions: The introduction of medication reconciliation in children on admission to hospital has the potential to reduce discomfort or clinical deterioration by reducing unintentional changes to repeat prescribed medication. Consequently, there is no justification for the omission of children from the NICENPSA guidance concerning medication reconciliation in hospitals, and costing tools should include pediatric patients. © 2010 Adis Data Information BV. All rights reserved.

Első- és másodfajú etikai kudarcok (Type I and type II ethical errors)

A cikkben a szerző a piac és a kormányzat kudarcaiból kiindulva azonosítja a közjó elérését célzó harmadik rendszer, az etikai felelősség kudarcait. Statisztikai analógiát használva elsőfajú kudarcként azonosítja, mikor az etikát nem veszik figyelembe, pedig szükség van rá. Ugyanakkor másodfajú kudarcként kezeli az etika profitnövelést célzó használatát, mely megtéveszti az érintetteteket, így még szélesebb utat enged az opportunista üzleti tevékenységnek. Meglátása szerint a három rendszer egymást nemcsak kiegészíti, de kölcsönösen korrigálja is. Ez az elsőfajú kudarc esetében általánosabb, a másodfajú kudarc megoldásához azonban a gazdasági élet alapvetéseinek átfogalmazására, az önérdek és az egydimenziós teljesítményértékelés helyett egy új, holisztikusabb szemléletű közgazdaságra van szükség. _______ In the article the author identifies the errors of ethical responsibility. That is the third system to attain common good, but have similar failures like the other two: the hands of the market and the government. Using statistical analogy the author identifies Type I error when ethics are not considered but it should be (null hypothesis is rejected however it’s true). She treats the usage of ethics to extend profit as Type II error. This misleads the stakeholders and makes room for opportunistic behaviour in business (null hypothesis is accepted in turn it’s false). In her opinion the three systems: the hand of the market, the government and the ethical management not only amend but interdependently correct each other. In the case of Type I error it is more general. Nevertheless to solve the Type II error we have to redefine the core principles of business. We need a more holistic approach in economics instead of self-interest and one-dimensional interpretation of value.

Hungary and the eurozone crisis: a comedy of errors?

The spill-over of the global fi nancial crisis has uncovered the weaknesses in the governance of the EMU. As one of the most open economies in Europe, Hungary has suff ered from the ups and downs of the global and European crisis and its mismanagement. Domestic policy blunders have complicated the situation. This paper examines how Hungary has withstood the ups and downs of the eurozone crisis. It also addresses the questions of whether the country has converged with or diverged from the EMU membership, whether joining the EMU is still a good idea for Hungary, and whether the measures to ward off the crisis have actually helped to face the challenge of growth.

A method for enhancing digital information displayed to computer users with visual refractive errors via spatial and spectral processing

This research pursued the conceptualization, implementation, and verification of a system that enhances digital information displayed on an LCD panel to users with visual refractive errors. The target user groups for this system are individuals who have moderate to severe visual aberrations for which conventional means of compensation, such as glasses or contact lenses, does not improve their vision. This research is based on a priori knowledge of the user's visual aberration, as measured by a wavefront analyzer. With this information it is possible to generate images that, when displayed to this user, will counteract his/her visual aberration. The method described in this dissertation advances the development of techniques for providing such compensation by integrating spatial information in the image as a means to eliminate some of the shortcomings inherent in using display devices such as monitors or LCD panels. Additionally, physiological considerations are discussed and integrated into the method for providing said compensation. In order to provide a realistic sense of the performance of the methods described, they were tested by mathematical simulation in software, as well as by using a single-lens high resolution CCD camera that models an aberrated eye, and finally with human subjects having various forms of visual aberrations. Experiments were conducted on these systems and the data collected from these experiments was evaluated using statistical analysis. The experimental results revealed that the pre-compensation method resulted in a statistically significant improvement in vision for all of the systems. Although significant, the improvement was not as large as expected for the human subject tests. Further analysis suggest that even under the controlled conditions employed for testing with human subjects, the characterization of the eye may be changing. This would require real-time monitoring of relevant variables (e.g. pupil diameter) and continuous adjustment in the pre-compensation process to yield maximum viewing enhancement.

The relationship between spirituality, knowledge and tuberculosis (TB) medication adherence among African Americans and Haitians

Tuberculosis (TB) is an infectious disease and nonadherence to medication can lead to new cases, multi-drug resistant TB, or potential death. Additionally, healthcare professionals and individuals with TB’s knowledge of the disease and medication adherence are crucial for successful completion of medication therapy. Patient education is one of the most important aspects of care provided in healthcare settings (CDC, 1994). TB tends to disproportionately affect minority and economically disadvantaged patient populations. The purpose of this mixed method study was to explore the relationship between spirituality, knowledge, and TB medication adherence among African Americans and Haitians. The primary research question was: What is the relationship between spirituality, knowledge and TB medication adherence among African Americans and Haitians? Quantitative data were gathered from 33 questionnaires and analyzed by two ANOVAs and four chi square analyses. The null hypothesis was not rejected; there was not a statistically significant relationship between spirituality and TB medication adherence (p =.208) among the study’s African Americans and Haitians. Qualitative data concerning participants’ knowledge of TB, gathered from 16 individual interviews further informed this analysis. Secondary research questions examined the role of spirituality, knowledge of TB and medication adherence among African Americans and Haitians. Four common themes emerged across both groups to answer the secondary research questions. Interviews revealed the themes: (a) God is in control, (b) stigmatization of TB, (c) lack of knowledge, and (d) fear of death. The theme lack of knowledge about TB was found to contribute to stigmatization of TB patients. However, in this study stigma and lack of knowledge were related to initial denial of symptoms and delayed diagnosis, but not found to be related to TB medication adherence. This study could help adult educators and health educators enhance their educational interventions, develop a better understanding of adult learning, resulting in early diagnosis and treatment ultimately decreasing transmission of TB, drug resistance, and potential death. Educators should be aware that TB patients’ spirituality may be an important part of how they cope with having TB. A larger scale study, conducted at multiple locations should be conducted to extend the findings of this small scale exploratory study. Further studies should be done to better determine what patient, healthcare provider and health care system factors might mediate relationships that may exist between lack of knowledge of TB, stigma and TB medication adherence.

A Mixed Method Study of Spirituality and the Influence on TB Medication Adherence

Nonadherence to medication for tuberculosis (TB) can lead to new cases of TB and death. Interest in spirituality in healthcare has grown among adult educators, health educators and healthcare workers (Tisdell, 2003). This mixed-method study will explore spirituality and TB medication adherence among African American and Haitian populations.

A method for enhancing digital information displayed to computer users with visual refractive errors via spatial and spectral processing

This research pursued the conceptualization, implementation, and verification of a system that enhances digital information displayed on an LCD panel to users with visual refractive errors. The target user groups for this system are individuals who have moderate to severe visual aberrations for which conventional means of compensation, such as glasses or contact lenses, does not improve their vision. This research is based on a priori knowledge of the user's visual aberration, as measured by a wavefront analyzer. With this information it is possible to generate images that, when displayed to this user, will counteract his/her visual aberration. The method described in this dissertation advances the development of techniques for providing such compensation by integrating spatial information in the image as a means to eliminate some of the shortcomings inherent in using display devices such as monitors or LCD panels. Additionally, physiological considerations are discussed and integrated into the method for providing said compensation. In order to provide a realistic sense of the performance of the methods described, they were tested by mathematical simulation in software, as well as by using a single-lens high resolution CCD camera that models an aberrated eye, and finally with human subjects having various forms of visual aberrations. Experiments were conducted on these systems and the data collected from these experiments was evaluated using statistical analysis. The experimental results revealed that the pre-compensation method resulted in a statistically significant improvement in vision for all of the systems. Although significant, the improvement was not as large as expected for the human subject tests. Further analysis suggest that even under the controlled conditions employed for testing with human subjects, the characterization of the eye may be changing. This would require real-time monitoring of relevant variables (e.g. pupil diameter) and continuous adjustment in the pre-compensation process to yield maximum viewing enhancement.

Last Interglacial synthesis of high-latitude temperature: temperature anomalies and associated errors for 4 time slices

The Last Interglacial (LIG, 129-116 thousand of years BP, ka) represents a test bed for climate model feedbacks in warmer-than-present high latitude regions. However, mainly because aligning different palaeoclimatic archives and from different parts of the world is not trivial, a spatio-temporal picture of LIG temperature changes is difficult to obtain. Here, we have selected 47 polar ice core and sub-polar marine sediment records and developed a strategy to align them onto the recent AICC2012 ice core chronology. We provide the first compilation of high-latitude temperature changes across the LIG associated with a coherent temporal framework built between ice core and marine sediment records. Our new data synthesis highlights non-synchronous maximum temperature changes between the two hemispheres with the Southern Ocean and Antarctica records showing an early warming compared to North Atlantic records. We also observe warmer than present-day conditions that occur for a longer time period in southern high latitudes than in northern high latitudes. Finally, the amplitude of temperature changes at high northern latitudes is larger compared to high southern latitude temperature changes recorded at the onset and the demise of the LIG. We have also compiled four data-based time slices with temperature anomalies (compared to present-day conditions) at 115 ka, 120 ka, 125 ka and 130 ka and quantitatively estimated temperature uncertainties that include relative dating errors. This provides an improved benchmark for performing more robust model-data comparison. The surface temperature simulated by two General Circulation Models (CCSM3 and HadCM3) for 130 ka and 125 ka is compared to the corresponding time slice data synthesis. This comparison shows that the models predict warmer than present conditions earlier than documented in the North Atlantic, while neither model is able to produce the reconstructed early Southern Ocean and Antarctic warming. Our results highlight the importance of producing a sequence of time slices rather than one single time slice averaging the LIG climate conditions.