| 1. |
- Bousquet, Jean, et al.
(författare)
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Allergic Rhinitis and its Impact on Asthma (ARIA) Phase 4 (2018) : Change management in allergic rhinitis and asthma multimorbidity using mobile technology
- 2019
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Ingår i: Journal of Allergy and Clinical Immunology. - : Elsevier. - 0091-6749 .- 1097-6825. ; 143:3, s. 864-879
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Tidskriftsartikel (refereegranskat)abstract
- Allergic Rhinitis and its Impact on Asthma (ARIA) has evolved from a guideline by using the best approach to integrated care pathways using mobile technology in patients with allergic rhinitis (AR) and asthma multimorbidity. The proposed next phase of ARIA is change management, with the aim of providing an active and healthy life to patients with rhinitis and to those with asthma multimorbidity across the lifecycle irrespective of their sex or socioeconomic status to reduce health and social inequities incurred by the disease. ARIA has followed the 8-step model of Kotter to assess and implement the effect of rhinitis on asthma multimorbidity and to propose multimorbid guidelines. A second change management strategy is proposed by ARIA Phase 4 to increase self-medication and shared decision making in rhinitis and asthma multimorbidity. An innovation of ARIA has been the development and validation of information technology evidence-based tools (Mobile Airways Sentinel Network [MASK]) that can inform patient decisions on the basis of a self-care plan proposed by the health care professional.
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| 2. |
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| 3. |
- Klimek, Maciej, et al.
(författare)
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Mathematical Visualization
- 2005
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Ingår i: Newsletter of the European Mathematical Society. ; :55, s. 17-22
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Tidskriftsartikel (refereegranskat)
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| 4. |
- Klimek, Maciej, et al.
(författare)
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Mathematical Visualization [Polish]
- 2000
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Ingår i: Mathematics as a force of cultural evolution . (Ed. A. Pelczar). - : PAU, Kraków. ; , s. 53-66
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Bokkapitel (refereegranskat)
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| 5. |
- Alghamdi, Azza
(författare)
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Approximation of pluricomplex Green functions : A probabilistic approach
- 2018
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. This is followed by short description of the main results obtained in the enclosed papers.In Paper I, we study properties of the metric space of pluriregular sets, that is zero sets of continuous pluricomplex Green functions. The best understood non-trivial examples of such sets are composite Julia sets, obtained by iteration of finite families of polynomial mappings in several complex variables. We prove that the so-called chaos game is applicable in the case of such sets. We also visualize some composite Julia sets using escape time functions and Monte Carlo simulation.In Paper II, we extend results in Paper I to the case of infinite compact families of proper polynomials mappings. With composition as the semigroup operation, we generate families of infinite iterated function systems with compact attractors. We show that such attractors can be approximated probabilistically in a manner of the classic chaos game.In Paper III, we study numerical approximation and visualisation of pluricomplex Green functions based on the Monte-Carlo integration. Unlike alternative methods that rely on locating a sequence of carefully chosen finite sets of points satisfying some optimal conditions for approximation purposes, our approach is simpler and more direct by relying on generation of pseudorandom points. We examine numerically the errors of approximation for some simple geometric shapes for which the pluricomplex Green functions are known. If the pluricomplex Green functions are not known, the errors in Monte Carlo integration can be expressed with the aid of statistics in terms of confidence intervals.Finally, in Paper IV, we study how perturbations of an orthonomalization procedure influence the resulting approximate Bergman functions. To this end we consider the concept of near orthonormality of a finite set of vectors in an inner product space, understood as closeness of the Gram matrix of those vectors to the identity matrix. We provide estimates for the errors resulting from using nearly orthogonal bases instead of orthogonal ones. The motivation for this work comes from Paper III: when Gram matrices are calculated via Monte Carlo integration, the outcomes of standard orthogonalisation algorithms are nearly orthonormal bases.
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| 6. |
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| 7. |
- Alghamdi, Azza, et al.
(författare)
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Attractors of compactly generated semigroups of regular polynomial mappings.
- 2018
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Ingår i: Complexity. - : Hindawi Limited. - 1076-2787 .- 1099-0526.
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Tidskriftsartikel (refereegranskat)abstract
- We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. The topological semigroups generated by such families, with composition as the semigroup operation, lead to the constructions of a variety of Julia-type pluriregular sets. The generating families can also be viewed as infinite iterated function systems with compact attractors. We show that such attractors can be approximated both deterministically and probabilistically in a manner of the classic chaos game.
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| 8. |
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| 9. |
- Alghamdi, Azza, et al.
(författare)
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Probabilistic approximation of partly filled-in composite Julia sets
- 2017
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Ingår i: Annales Polonici Mathematici. - : Institute of Mathematics, Polish Academy of Sciences. - 0066-2216 .- 1730-6272. ; 119:3, s. 203-220
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Tidskriftsartikel (refereegranskat)abstract
- We study properties of the metric space of pluriregular sets and of contractions on that space induced by finite families of proper polynomial mappings of several complex variables. In particular, we show that closed balls in the space of pluriregular sets do not have to be compact and we give a simple proof of applicability of the so-called chaos game in the case of composite Julia sets. Part of the construction of those sets also leads to a computationally viable approximation by simpler sets based on Monte-Carlo simulation.
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| 10. |
- Aron, R.M., et al.
(författare)
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Supremum norms for quadratic polynomials
- 2001
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Ingår i: ARCHIV DER MATHEMATIK. - : BIRKHAUSER VERLAG AG. - 0003-889X. ; 76:1, s. 73-80
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Tidskriftsartikel (refereegranskat)abstract
- We define two norms on R-3 as follows. For (a, b,c) is an element of R-3, we let parallel to (a, b, c)parallel to (R) = sup {/ax(2) + bx + c/ : x is an element of [-1, 1]} and parallel to (a, b, c)parallel to (C) = sup "/az(2) +bz +c/ : z is an element of
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