Polynomials orthogonal with respect to singular continuous measures

1988 ◽  
pp. 32-45
Author(s):  
J. S. Geronimo
Keyword(s):  
Continuous Measures

scholarly journals Blood Pressure and Tooth Loss: A Large Cross-Sectional Study with Age Mediation Analysis

2021 ◽  
Vol 18 (1) ◽  
pp. 285
Author(s):  
José João Mendes ◽  
João Viana ◽  
Filipe Cruz ◽  
Dinis Pereira ◽  
Sílvia Ferreira ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Tooth Loss ◽  
Cross Sectional Study ◽  
Mediation Effect ◽  
Sectional Study ◽  
Cross Sectional ◽  
Undiagnosed Hypertension ◽  
Dental Hospital ◽  
Continuous Measures ◽  
Effect Of Age

We aimed to investigate the association between blood pressure (BP) and tooth loss and the mediation effect of age. A cross-sectional study from a reference dental hospital was conducted from September 2017 to July 2020. Single measures of BP were taken via an automated sphygmomanometer device. Tooth loss was assessed through oral examination and confirmed radiographically. Severe tooth loss was defined as 10 or more teeth lost. Additional study covariates were collected via sociodemographic and medical questionnaires. A total of 10,576 patients were included. Hypertension was more prevalent in severe tooth loss patients than nonsevere tooth lost (56.1% vs. 39.3%, p < 0.001). The frequency of likely undiagnosed hypertension was 43.4%. The adjusted logistic model for sex, smoking habits and body mass index confirmed the association between continuous measures of high BP and continuous measures of tooth loss (odds ratio (OR) = 1.05, 95% CI: 1.03–1.06, p < 0.001). Age mediated 80.0% and 87.5% of the association between periodontitis with both systolic BP (p < 0.001) and diastolic BP (p < 0.001), respectively. Therefore, hypertension and tooth loss are associated, with a consistent mediation effect of age. Frequency of undiagnosed hypertension was elevated. Age, gender, active smoking, and BMI were independently associated with raised BP.

scholarly journals Tumour Size at Detection According to Different Measures of Mammographic Breast Density

2009 ◽  
Vol 16 (3) ◽  
pp. 140-146 ◽  
Author(s):  
Carolyn Nickson ◽  
Anne M Kavanagh
Keyword(s):  
Breast Cancer ◽  
Breast Density ◽  
Tumour Size ◽  
Mammographic Screening ◽  
Cancer Prognosis ◽  
Mammographic Breast Density ◽  
Interval Cancers ◽  
Dense Area ◽  
Screening Strategies ◽  
Continuous Measures

Objectives Breast cancer prognosis is better for smaller tumours. Women with high breast density are at higher risk of breast cancer and have larger screen-detected and interval cancers in mammographic screening programmes. We assess which continuous measures of breast density are the strongest predictors of breast tumour size at detection and therefore the best measures to identify women who might benefit from more intensive mammographic screening or alternative screening strategies. Setting and methods We compared the association between breast density and tumour size for 1007 screen-detected and 341 interval cancers diagnosed in an Australian mammographic screening programme between 1994 and 1996, for three semi-automated continuous measures of breast density: per cent density, dense area and dense area adjusted for non-dense area. Results After adjustment for age, hormone therapy use, family history of breast cancer and mode of detection (screen-detected or interval cancers), all measures of breast density shared a similar positive and significant association with tumour size. For example, tumours increased in size with dense area from an estimated mean 2.2 mm larger in the second quintile (β = 2.2; 95% Cl 0.4–3.9, P < 0.001) to mean 6.6 mm larger in the highest decile of dense area (β = 6.6; 95% Cl 4.4–8.9, P < 0.001), when compared with first quintile of breast density. Conclusions Of the breast density measures assessed, either dense area or per cent density are suitable measures for identifying women who might benefit from more intensive mammographic screening or alternative screening strategies.

scholarly journals Comparison of Performance Between a Short Categorized Lifestyle Exposure-based Colon Cancer Risk Prediction Tool and a Model Using Continuous Measures

2018 ◽  
Vol 11 (12) ◽  
pp. 841-848 ◽  
Author(s):  
Ying Liu ◽  
Graham A. Colditz ◽  
Bernard A. Rosner ◽  
Hank Dart ◽  
Esther Wei ◽  
...  
Keyword(s):  
Colon Cancer ◽  
Cancer Risk ◽  
Risk Prediction ◽  
Prediction Tool ◽  
Colon Cancer Risk ◽  
Continuous Measures

scholarly journals Clinical rearfoot and knee static alignment measurements are not associated with patellofemoral pain syndrome

2012 ◽  
Vol 19 (1) ◽  
pp. 45-51 ◽  
Author(s):  
Sandra Aliberti ◽  
Mariana Souza Xavier Costa ◽  
Sílvia Maria Amado João ◽  
Anice de Campos Pássaro ◽  
Antonio Carlos Arnone ◽  
...  
Keyword(s):  
Odds Ratio ◽  
Pain Syndrome ◽  
Patellofemoral Pain Syndrome ◽  
Patellofemoral Pain ◽  
Cross Sectional ◽  
Q Angle ◽  
Limited Applicability ◽  
Mean Differences ◽  
Continuous Measures ◽  
Control Study

The aim of the present study was to investigate the association between the patellofemoral pain syndrome and the clinical static measurements: the rearfoot and the Q angles. The design was a cross-sectional, observational, case-control study. We evaluated 77 adults (both genders), 30 participants with patellofemoral pain syndrome, and 47 controls. We measured the rearfoot and Q angles by photogrammetry. Independent t-tests were used to compare outcome continuous measures between groups. Outcome continuous data were also transformed into categorical clinical classifications, in order to verify their statistical association with the dysfunction, and χ2 tests for multiple responses were used. There were no differences between groups for rearfoot angle [mean differences: 0.2º (95%CI -1.4-1.8)] and Q angle [mean differences: -0.3º (95%CI -3.0-2.4). No associations were found between increased rearfoot valgus [Odds Ratio: 1.29 (95%CI 0.51-3.25)], as well as increased Q angle [Odds Ratio: 0.77 (95%CI 0.31-1.93)] and the patellofemoral pain syndrome occurrence. Although widely used in clinical practice and theoretically thought, it cannot be affirmed that increased rearfoot valgus and increased Q angle, when statically measured in relaxed stance, are associated with patellofemoral pain syndrome (PFPS). These measures may have limited applicability in screening of the PFPS development.

Order continuous measures

1964 ◽  
Vol 60 (2) ◽  
pp. 205-207 ◽  
Author(s):  
G. T. Roberts
Keyword(s):  
Topological Space ◽  
Linear Form ◽  
Vector Lattice ◽  
Measure Zero ◽  
Continuous Functions ◽  
Order Convergence ◽  
Locally Compact ◽  
Compact Topological Space ◽  
Continuous Measures ◽  
Order Continuous

1. Objective. It is possible to define order convergence on the vector lattice of all continuous functions of compact support on a locally compact topological space. Every measure is a linear form on this vector lattice. The object of this paper is to prove that a measure is such that every set of the first category of Baire has measure zero if and only if the measure is a linear form which is continuous in the order convergence.

scholarly journals Bounded analytic functions and absolutely continuous measures

1967 ◽  
Vol 18 (5) ◽  
pp. 818-818 ◽  
Author(s):  
George Piranian ◽  
Allen L. Shields ◽  
James H. Wells
Keyword(s):  
Analytic Functions ◽  
Absolutely Continuous ◽  
Bounded Analytic Functions ◽  
Continuous Measures ◽  
Absolutely Continuous Measures

scholarly journals Fourier-Stieltjes transforms of strongly continuous measures.

1977 ◽  
Vol 24 (1) ◽  
pp. 13-19 ◽  
Author(s):  
L. Thomas Ramsey ◽  
Benjamin B. Wells
Keyword(s):  
Continuous Measures ◽  
Stieltjes Transforms

Learned Control of Heart Rate and Blood Pressure

1971 ◽  
Vol 33 (1) ◽  
pp. 219-226 ◽  
Author(s):  
Michael Hnatiow
Keyword(s):  
Blood Pressure ◽  
Heart Rate ◽  
Systolic Blood Pressure ◽  
Blood Pressure Variability ◽  
Visual Display ◽  
Waveform Analysis ◽  
Target Range ◽  
Heart Rates ◽  
Systolic Blood Pressure Variability ◽  
Continuous Measures

Cardiac rate-variability control and an initial demonstration of systolic blood-pressure variability control using visual feedback of physiological information were examined. Continuous measures of respiration, heart rate, EXG waveform analysis, and systolic blood pressure were obtained for both experimental groups and for yoked controls who saw the same visual display as the experimental Ss. Ss successful at reducing heart-rate variability showed clear changes in the P-R wave relationships of the EKG, indicating possible direct attempts to manipulate heart rate so as to reduce variability. Ss controlling blood-pressure variability who had high heart rates were more successful in reducing variability than those with low rates, possibly because of differential feedback to Ss with high and low heart rates. In addition, apparently as a reaction to E's adjustment of the visual target range, experimental Ss showed decreases in mean blood-pressure levels.

Genetics of Depression

2013 ◽  
pp. 396-410
Author(s):  
Douglas F. Levinson
Keyword(s):  
Association Studies ◽  
Meta Analysis ◽  
Lifetime Risk ◽  
Depression And Anxiety ◽  
Genetic Studies ◽  
Candidate Gene Studies ◽  
Methodological Problems ◽  
Continuous Measures ◽  
Depressive Episodes ◽  
Significant Linkage

Categorical major depressive disorder has been the focus of most genetic studies, although some studies use continuous measures or consider both depression and anxiety. Lifetime risk of major depression is high (12-20%), heritability is below 40%, and the relative risk to first-degree relatives is approximately 3. These characteristics are challenging for current genetic methods. There have been several significant linkage findings which do not consistently replicate. Genomewide association studies have not produced significant findings, but analyses that cut across diagnostic boundaries seem promising. Candidate gene studies have been fraught with methodological problems, although the largest meta-analysis to date supported the hypothesis that 5-HTTLPR genotype and specific stressors interact to predict depressive episodes (but not lifetime risk of depression). Future steps include application of sequencing and stem cell technologies. Methods are need to build larger samples with more detailed clinical assessment. Outstanding genetic epidemiological issues should be addressed by new studies.

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