| 1. |
- Brzezinski, Juliusz, 1939, et al.
(författare)
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How to describe all cubic Galois extensions?
- 2011
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Ingår i: Normat-Nordisk Matematisk Tidskrift. - 0801-3500. ; 59:3-4, s. 117-130
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Tidskriftsartikel (refereegranskat)abstract
- All cubic Galois extensions of rational numbers are described by canonical minimal polynomials, which can be computed using a "sieving" algorithm.
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| 2. |
- Dolgachev, I., et al.
(författare)
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Chilean configuration of conics, lines and points
- 2022
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Ingår i: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze. - : Scuola Normale Superiore - Edizioni della Normale. - 0391-173X .- 2036-2145. ; 23:2, s. 877-914
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Tidskriftsartikel (refereegranskat)abstract
- Using the theory of rational elliptic fibrations, we construct and discuss a one parameter family of configurations of 12 conics and 9 points in the projective plane that realizes an abstract configuration (12(6), 9(8)). This is analogous to the famous Hesse configuration of 12 lines and 9 points forming an abstract configuration (12(3), 9(4)). We also show that any Halphen elliptic fibration of index 2 with four triangular singular fibers arises from such configuration of conics.
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| 3. |
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| 4. |
- Nizamani, Abdul Rahim, 1981, et al.
(författare)
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Bounded Cognitive Resources and Arbitrary Domains
- 2015
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Ingår i: Lecture Notes in Computer Science. 8th International Conference on Artificial General Intelligence, AGI 2015, Berlin, Germany, 22-25 July 2015, Proceedings / edited by Jordi Bieger, Ben Goertzel, Alexey Potapov.. - Cham : Springer International Publishing. - 0302-9743 .- 1611-3349. - 9783319213651
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Konferensbidrag (refereegranskat)abstract
- When Alice in Wonderland fell down the rabbit hole, she entered a world that was completely new to her. She gradually explored that world by observing, learning, and reasoning. This paper presents a simple system Alice in Wonderland that operates analogously. We model Alice’s Wonderland via a general notion of domain and Alice herself with a computational model including an evolving belief set along with mechanisms for observing, learning, and reasoning. The system operates autonomously, learning from arbitrary streams of facts from symbolic domains such as English grammar, propositional logic, and simple arithmetic. The main conclusion of the paper is that bounded cognitive resources can be exploited systematically in artificial general intelligence for constructing general systems that tackle the combinatorial explosion problem and operate in arbitrary symbolic domains.
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| 5. |
- Nyholm, Maria, et al.
(författare)
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The validity of obesity based on self-reported weight and height: Implications for population studies
- 2007
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Ingår i: Obesity. - Hoboken : Wiley. ; 15:1, s. 197-208
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Tidskriftsartikel (refereegranskat)abstract
- OBJECTIVE: To validate self-reported information on weight and height in an adult population and to find a useful algorithm to assess the prevalence of obesity based on self-reported information. RESEARCH METHODS AND PROCEDURES: This was a cross-sectional survey consisting of 1703 participants (860 men and 843 women, 30 to 75 years old) conducted in the community of Vara, Sweden, from 2001 to 2003. Self-reported weight, height, and corresponding BMI were compared with measured data. Obesity was defined as measured BMI > or = 30 kg/m2. Information on education, self-rated health, smoking habits, and physical activity during leisure time was collected by a self-administered questionnaire. RESULTS: Mean differences between measured and self-reported weight were 1.6 kg (95% confidence interval, 1.4; 1.8) in men and 1.8 kg (1.6; 2.0) in women (measured higher), whereas corresponding differences in height were -0.3 cm (-0.5; -0.2) in men and -0.4 cm (-0.5; -0.2) in women (measured lower). Age and body size were important factors for misreporting height, weight, and BMI in both men and women. Obesity (measured) was found in 156 men (19%) and 184 women (25%) and with self-reported data in 114 men (14%) and 153 women (20%). For self-reported data, the sensitivity of obesity was 70% in men and 82% in women, and when adjusted for corrected self-reported data and age, it increased to 81% and 90%, whereas the specificity decreased from 99% in both sexes to 97% in men and 98% in women. DISCUSSION: The prevalence of obesity based on self-reported BMI can be estimated more accurately when using an algorithm adjusted for variables that are predictive for misreporting.
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| 6. |
- Odeberg, Jacob, et al.
(författare)
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Influence of pre-existing inflammation on the outcome of acute coronary syndrome: a cross-sectional study
- 2016
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Ingår i: Bmj Open. - : BMJ. - 2044-6055. ; 6:1
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Tidskriftsartikel (refereegranskat)abstract
- Objectives: Inflammation is a well-established risk factor for the development of coronary artery disease (CAD) and acute coronary syndrome (ACS). However, less is known about its influence on the outcome of ACS. The aim of this study was to determine if blood biomarkers of inflammation were associated specifically with acute myocardial infarction (MI) or unstable angina (UA) in patients with ACS. Setting: Patients admitted to the coronary care unit, via the emergency room, at a central county hospital over a 4-year period (1992-1996). Participants: In a substudy of Carlscrona Heart Attack Prognosis Study (CHAPS) of 5292 patients admitted to the coronary care unit, we identified 908 patients aged 30-74 years, who at discharge had received the diagnosis of either MI (527) or UA (381). Main outcome measures: MI or UA, based on the diagnosis set at discharge from hospital. Results: When adjusted for smoking, age, sex and duration of chest pain, concentrations of plasma biomarkers of inflammation (high-sensitivity C reactive protein >2 mg/L (OR=1.40 (1.00 to 1.96) and fibrinogen (p for trend=0.035)) analysed at admission were found to be associated with MI over UA, in an event of ACS. A strong significant association with MI over UA was found for blood cell markers of inflammation, that is, counts of neutrophils (p for trend <0.001), monocytes (p for trend <0.001) and thrombocytes (p for trend=0.021), while lymphocyte count showed no association. Interestingly, eosinophil count (p for trend=0.003) was found to be significantly lower in patients with MI compared to those with UA. Conclusions: Our results show that, in patients with ACS, the blood cell profile and degree of inflammation at admission was associated with the outcome. Furthermore, our data suggest that a pre-existing low-grade inflammation may dispose towards MI over UA.
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| 7. |
- Persson, Ulf, 1950
(författare)
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Bisecting lines of convex regions
- 2011
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Ingår i: normat. - 0801-3500. ; 59:2, s. 67-81
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- The boundary of the set of intersection points of bisecting lines are studied
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| 8. |
- Persson, Ulf, 1950
(författare)
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Eulertalet
- 2006
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Ingår i: Normat. ; 54:4, s. 151-161
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)
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| 9. |
- Persson, Ulf, 1950, et al.
(författare)
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Galois theory and coverings
- 2011
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Ingår i: Normat. - 0801-3500. ; 59:3/4, s. 178-191
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Coverings of P^1 ramified in only three points are connected to Dessins, an elementary introduction
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| 10. |
- Persson, Ulf, 1950
(författare)
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Is Falsification Falsifiable?
- 2016
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Ingår i: Foundations of Science. - : Springer Science and Business Media LLC. - 1233-1821 .- 1572-8471. ; 21:3, s. 461-475
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Tidskriftsartikel (refereegranskat)abstract
- This is a response to a claim by Sven Ove Hansson to the effect that Poppers dictum that falsification lies at the heart of all pursuit of science has once and for all been falsified by his study of articles published in Nature during the year 2000. We claim that this is based on a misunderstanding of Poppers philosophy of science interpreting it too literally, and that alternative readings of those papers are fully compliant with falsification. We scrutinize Hansson’s arguments as well as giving an overview of Poppers falsification theory.
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