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Topic: Incidence relation


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  PlanetMath: incidence geometry
Incidence geometry is essentially geometry based on the first postulate in Euclid's The Elements.
In this entry, we will define incidence geometry using abstract notions of sets, functions, and relations (specifically, an incidence relation) and then briefly discuss how this definition is related to the axioms of incidence that we know from high school and college.
This is version 23 of incidence geometry, born on 2005-08-01, modified 2007-06-23.
www.planetmath.org /encyclopedia/IncidenceRelation.html   (1099 words)

  
 Incidence Relations in the Plane and in Space
Incidence Relations in the Plane and in Space
An example of this kind is the most basic of the incidence axioms of planar geometry.
The easiest example of this is the other basic incidence relation of planar geometry.
math.rice.edu /~pcmi/sphere/linincidence.html   (280 words)

  
  Eastern Mediterranean Health Journal, Vol. 6 No. 2/3, Incidence of urinary tract infection during pregnancy
The incidence of bacteriuria during pregnancy in Western populations is 2.5%-8.7%, which is almost equivalent to the 4%-6% incidence of the general population [3].
Evaluation of UTI incidence in relation to trimester of pregnancy found that the incidence of UTI in the first trimester was 25.0%; in the second trimester, 31.2%; and in the third trimester, 29.3%.
The incidence of UTI and the use of underclothing was not significant.
www.emro.who.int /Publications/EMHJ/0602/06.htm   (2050 words)

  
 Study of cancer incidence in relation to dapsone use
Cancer incidence was determined by reference to State and Territory cancer registry records for the period 1972 to 1989, although not all registries had complete coverage for all of this period.
Cancer incidence was examined for all cancers, and for 28 sites of cancer that included the cancers of a priori interest as well as groupings with more than 30 incident cases.
Cancer incidence was assessed at eight sites that had been suggested in previous publications as those for which an effect of exposure to herbicides was most likely.
www.dva.gov.au /media/publicat/dapsone.htm   (2028 words)

  
 Incidence structure - Wikipedia, the free encyclopedia
Each hypergraph or set system can be regarded as an incidence structure in which the universal set plays the role of "points", the corresponding family of sets plays the role of "lines" and the incidence relation is given by set membership "∈".
Incidence structures can be modelled by points and curves in the Euclidean plane with usual geometric incidence.
To each incidence structure C we may associate a bipartite graph called Levi graph or incidence graph with a given fl and white vertex coloring where fl vertices correspond to points and white vertices correspond to lines of C and the edges correspond to flags.
en.wikipedia.org /wiki/Incidence_structure   (342 words)

  
 Incidence - Wikipedia, the free encyclopedia
Incidence algebras are associative algebras used in combinatorics, a branch of mathematics.
Some axioms of synthetic geometry deal with a relation called incidence; see incidence (geometry).
In epidemiology, there is another concept called incidence; see incidence (epidemiology).
en.wikipedia.org /wiki/Incidence   (100 words)

  
 European Society of Clinical Microbiology and Infectious Diseases
The incidence of cases was computed in relation to the total of positive blood cultures, to 1000 hospital admissions, and to 10
The transient increase of candidemia incidence related to the increase of MRSA infection during 2004 (11, 19, and 51 in 2002, 2003 and 2004 respectively) led to introduce new strategies in nosocomial control policies.
The increase of candidemia incidence was also related to the increase of wide spectrum antibiotics use.
www.blackwellpublishing.com /eccmid16/abstract.asp?id=50908   (421 words)

  
 Further Evidence on Relation between Depleted Uranium, Incidence of Malignancies among Children in Basra, Southern Iraq   (Site not responding. Last check: 2007-10-15)
The overall incidence rate of all malignancies was 10.1 per 100, 000 of children below 15 years of age compared to 3.98 in 1990 and 7.22 in 1997.
The findings reported in 1999 provided further epidemiological evidence that the increased incidence of malignancies among children in Basrah is related to exposure to depleted uranium used by the western allies during their aggression on Iraq in 1991.
This is an analytic epidemiological study for the incidence of cancer, in the south of Iraq for the period 1976-1999.
www.iacenter.org /depleted/du_iraq.htm   (4203 words)

  
 Logic
Since the binary genre relation is between the extent (set of instances) of an object type Movie and a controlled vocabulary Genre, it can be considered to be an Information Flow classification with instances being movies, types being genres, and incidence being the genre relation.
The binary genre relation is transformed by direct conceptual scaling into the incidence relation for the classification component of the logic.
This relational instance metadata is contained in an (possibly the same) IFF model as the model containing the instance set information.
www.ontologos.org /IFF/Examples/Logic.html   (910 words)

  
 Intra-urban differences in breast cancer mortality: a study from the city of Malmo in Sweden -- Manjer et al. 54 (4): ...
Stage at diagnosis, but not incidence, seem to be the major explanation to the pattern of mortality.
The correlation between age standardised breast cancer mortality and incidence in the areas was 0.22, p=0.39, figure 2.
Experimental and observational studies have shown that survival is related to adjuvant radiotherapy and chemotherapy.
jech.bmj.com /cgi/content/full/54/4/279   (2791 words)

  
 Options
When the incidence option is selected, the incidence relation for each output with respect to input will be generated.
The #incidence option can be used when you do not wish to output the incidence file but to output only the cardinality of incidence for each output, at the end of each output line.
It is often more desirable to compute the adjacency, input_adjacency, incidence and input_incidence relations independently from the main (and often heavy) computation of enumerating all vertices and extreme rays.
www.cs.mcgill.ca /~fukuda/soft/cddman/node4.html   (2502 words)

  
 Philosophy of Real Mathematics: Klein 2-geometry II
Presumably, possible incidence relations in the Euclidean case are angles of intersection (0, pi/2] and then distances [0, infinity) for parallel lines.
Given a binary relation f on two sets S and T, an element of S is either related to an element of T or not - being related is a property of this pair of elements.
This is the radical nature of Klein's approach to incidence geometry: a geometry is a group G, a type of figure is a subgroup H, and a type of incidence between a figure of type H and one of type H' is a point in H\G/H'.
www.dcorfield.pwp.blueyonder.co.uk /2006/06/klein-2-geometry-ii.html   (7381 words)

  
 Encyclopaedia of Design Theory: Glossary
Equivalence relations correspond precisely to partitions of the underlying set; the equivalence classes of an equivalence relation form a partition of the set, and any partition is the set of equivalence classes of a unique equivalence relation.
The incidence graph of an incidence structure (also called the Levi graph) is the graph whose vertices are the points and blocks of the structure, with an edge joining a point and a block if and only if they are incident.
An incidence structure of points and blocks is resolvable if there is a equivalence relation on the set of blocks of the structure with the property that each point is incident with exactly one block from each equivalence class.
designtheory.org /library/encyc/glossary   (13994 words)

  
 Incidence of Asthma and Its Determinants among Adults in Spain -- BASAGAÑA et al. 164 (7): 1133 -- American ...
The incidence of asthma was 5.53 per 1,000 person-years (Table 2), ranging from 3.50 in Galdakao to 7.87 in Huelva (p = 0.40).
Incidence and prevalence of physician-diagnosed asthma in a suburban population of young adults.
Incidence and prognosis of asthma and wheezing illness from early childhood to age 33 in a national British cohort.
ajrccm.atsjournals.org /cgi/content/full/164/7/1133   (3202 words)

  
 Relation of Glycemic Control to Diabetic Microvascular Complications in Diabetes Mellitus -- Klein et al. 124 (12): 90 ...
The relation of incidence (top), progression (center), and progression to proliferative retinopathy (bottom) in persons with younger-onset diabetes, persons with older-onset diabetes taking insulin, and persons with older-onset diabetes not taking insulin over a 10-year period to glycated hemoglobin levels by quartile for the whole population at baseline.
The 10-year incidence of self-reported history of loss of tactile sensation (top) and loss of temperature sensitivity (bottom) by quartile of glycated hemoglobin at baseline in three groups: the younger-onset group taking insulin, the older-onset group taking insulin, and the older-onset group not taking insulin in the Wisconsin Epidemiologic Study of Diabetic Retinopathy.
Incidence of diabetic retinopathy and relationship to baseline plasma glucose and blood pressure Diabetes Care.
www.annals.org /cgi/content/full/124/1_Part_2/90   (4804 words)

  
 Recent trends in cutaneous malignant melanoma in the Yorkshire region of England; incidence, mortality and survival in ...
The aim of this study was to investigate recent trends in incidence, mortality and survival in patients diagnosed with malignant melanoma (MM) in relation to stage (Breslow thickness).
Over the study period, the incidence of invasive MM increased from 5.4 to 9.7 per 100 000 in male subjects and from 7.5 to 13.1 per 100 000 in female subjects.
The trends in incidence suggest that the increase is real, rather than an artefact of increased scrutiny, implying that primary prevention in the Yorkshire area of the UK has failed to control trends in incidence.
www.nature.com /bjc/journal/v95/n1/abs/6603216a.html   (349 words)

  
 Incidence Matrices
Taken purely abstract, polytopes are described by their surtopial elements plus the relative incidences.
The most basic way to give those incidences are 0-1-matrices with 1 meaning "incident" and 0 "not".
Alike surtopial elements now can be classed together via symmetrical equivalence, and the incidence relation will be given for the classes instead.
web.ukonline.co.uk /polyhedra/incidence_matrices.htm   (557 words)

  
 Orðasafn: I
1 (state or relation of being identical) samsemd, = equality 2, -> identity relation.
identity relation samsemdarvensl, -> equality 2, -> identity 1.
inclusion relation hlutmengjavenzl, = inclusion 1, = subset relation.
www.hi.is /~mmh/ord/safn/safnI.html   (2408 words)

  
 Cancer incidence and magnetic field exposure in industries using resistance welding in Sweden -- Håkansson et al. ...
incidence of tumours of the kidney, pituitary gland, and biliary
Occupational exposure to electromagnetic fields in relation to leukemia and brain tumors: a case-control study in Sweden.
Disability, mortality, and incidence of cancer among Geneva painters and electricians: a historical prospective study.
oem.bmj.com /cgi/content/full/59/7/481   (3498 words)

  
 Contemporary Lung Cancer Trends among U.S. Women -- Jemal et al. 14 (3): 582 -- Cancer Epidemiology Biomarkers & ...   (Site not responding. Last check: 2007-10-15)
Age-standardized female lung cancer incidence rates for all lung cancers and for two of the four major histologic types (SEER areas, 1973-2001).
The contribution of each age group to the 2000 age-standardized lung cancer incidence rate among women was derived by multiplying the age-specific incidence rate in 2000 by the corresponding age-specific weight of the 2000 U.S. standard million population and then by dividing this product by the age-standardized incidence rate and multiplying it by 100.
Patterns of cancer incidence, mortality, and prevalence across five continents: defining priorities to reduce cancer disparities in different geographic regions of the world.
cebp.aacrjournals.org /cgi/content/full/14/3/582   (1883 words)

  
 Sex-related interactive effect of smoking and household pets on asthma incidence -- Chen et al. 20 (5): 1162 -- ...
to the incidence of asthma in females, was observed.
Asthma from birth to age 29: incidence and relation to prior an concurrent atopic disease.
Incidence rate of adult-onset asthma in relation to age, sex, atopy and smoking: a Swedish population-based study of 15813 adults.
erj.ersjournals.com /cgi/content/full/20/5/1162   (2589 words)

  
 Stroke in 85-Year-Olds: Prevalence, Incidence, Risk Factors, and Relation to Mortality and Dementia -- Liebetrau et al. ...
We examined the prevalence and incidence of stroke in a representative
factor, was related to an increased incidence of stroke.
Incidence, risk, and case fatality of first ever stroke in the elderly population: the Rotterdam Study.
stroke.ahajournals.org /cgi/content/full/34/11/2617   (3266 words)

  
 Associations between ambient ozone, hydrocarbons, and childhood wheezy episodes: a prospective observational study in ...
Table 2 summarises the data on pollutants and incidence by season.
infection on incidence is tabulated in table 6.
SD of pollutant relative to incidence at mean annual concentration of pollutant adjusted for season, temperature, wind speed, and infection (for ozone 0.5 SDs)
oem.bmjjournals.com /cgi/content/full/57/2/86   (3102 words)

  
 Nutritional factors and worldwide incidence of childhood type 1 diabetes -- Muntoni et al. 71 (6): 1525 -- American ...
From the Center for Metabolic Diseases and Atherosclerosis, Ministero dell'Università e della Ricerca Scientifica e Tecnologica, the ME.DI.CO. Association, Cagliari, Italy, and the Department of Biomedical Sciences and Biotechnologies and the Institute of Occupational Medicine, University of Cagliari, Cagliari, Italy.
Incidence of childhood diabetes mellitus in Yorkshire, northern England, is associated with nitrate in drinking water: an ecological analysis.
Incidence of insulin-dependent diabetes mellitus among Sardinian-heritage children born in Lazio region, Italy.
www.ajcn.org /cgi/content/full/71/6/1525   (2502 words)

  
 Introduction   (Site not responding. Last check: 2007-10-15)
clique of the incidence graph) of Gamma must be contained in a chamber (i.e.
If the latter condition is satisfied, then an incidence geometry is a geometry in the sense of Buekenhout.
It is possible to construct incidence geometries from a group and some of its subgroups using an algorithm first introduced by Jacques Tits.
www.umich.edu /~gpcc/scs/magma/text1237.htm   (442 words)

  
 American Hatz Association Forum - Angle of Incidence
The proper angle of incidence is indicated as zero degrees.
By the sixties when it was designed and built, and Dudley being a draftsman, zero degrees of incidence would have been to the chord line, no? The incidence referring to the 'flat' bottom of the airfoil was a very old convention.
If not to the chord line, then the Hatz's airfoil as drawn with zero incidence in reference to the bottom of the airfoil is actually at several degrees of positive incidence in relation to the chord.
www.weebeastie.com /dcforum/DCForumID1/428.html   (544 words)

  
 High-energy, high-protein, oral, liquid, nutrition supplementation in patients with HIV infection: effect on weight ...
High-energy, high-protein, oral, liquid, nutrition supplementation in patients with HIV infection: effect on weight status in relation to incidence of secondary infection.
Follow-up clinic visits were scheduled every 1 to 3 weeks for at least 6 weeks to monitor weight, gastrointestinal symptoms, number of supplements consumed, and incidence of secondary infections.
Although those who developed a secondary infection had a higher incidence of weight loss, their consumption of oral supplements per week was greater than that of those without a secondary infection.
www.aegis.com /aidsline/1996/jun/M9660175.html   (667 words)

  
 Prospective Study of Coronary Heart Disease Incidence in Relation to Fasting Total Homocysteine, Related Genetic ...
Prospective Study of Coronary Heart Disease Incidence in Relation to Fasting Total Homocysteine, Related Genetic Polymorphisms, and B Vitamins : The Atherosclerosis Risk in Communities (ARIC) Study -- Folsom et al.
to be associated significantly with increased incidence of CHD.
After accounting for other risk factors, only plasma pyridoxal 5'-phosphate was associated with CHD incidence; the relative risk for the highest versus lowest quintile of pyridoxal 5'-phosphate was 0.28 (95% CI=0.1 to 0.7).
circ.ahajournals.org /cgi/content/full/98/3/204   (4668 words)

  
 Increasing Stroke Incidence and Decreasing Case Fatality, 1989-1998: A Study From the Stroke Register in Malmo, Sweden ...
that the incidence of first-ever stroke is increasing in south
Johansson B, Norrving B, Lindgren A. Increased stroke incidence in Lund-Orup, Sweden, between 1983 to 1985 and 1993 to 1995.
Tydén P, Hansen O, Janzon L. Intra-urban variations in incidence and mortality in myocardial infarction: a study from the myocardial infarction register in the city of Malmö, Sweden.
stroke.ahajournals.org /cgi/content/full/34/4/913   (3432 words)

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