175 research outputs found
MR2657294 (2011h:28021) Bensimhoun, Michael Change of variable theorems for the KH integral. Real Anal. Exchange 35 (2010), no. 1, 167–194. (Reviewer: Luisa Di Piazza), 28B05 (26A42 46G10)
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MR2657294 (2011h:28021)
Bensimhoun, Michael(IL-HEBR)
Change of variable theorems for the KH integral. (English summary)
Real Anal. Exchange 35 (2010), no. 1, 167–194.
28B05 (26A42 46G10)
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Let ({\scr E},{\scr F}, {\scr G})(E,F,G) be a Banach triple and let f\colon [a,b] \subset \overline{\Bbb R} \rightarrow {\scr E}f:[a,b]⊂R−−→E, \varphi \colon [a,b] \rightarrow {\scr F}φ:[a,b]→F and ψ:[c,d]⊂R−−→[a,b] be given. The problem of change of variables in an integral consists in finding the best conditions under which the equality ∫dcf∘ψ⋅d(φ∘ψ)=∫ψ(d)ψ(c)f⋅dφ(1) holds, when one of these two integrals exists.
Here the context is that of the Kurzweil-Henstock-Stieltjes integral. The main result is Theorem 6.1:
Assume that ψ is continuous. If f∘ψ⋅d(φ∘ψ) is integrable in [c,d], then f⋅dφ is integrable in ψ([c,d]) and equality (1) holds.
Furthermore, if f∘ψ⋅d(φ∘ψ) is absolutely integrable in [c,d], then f⋅dφ is absolutely integrable in ψ([c,d]), with ∫dc∥f∘ψ⋅d(φ∘ψ)∥=∫ψ(d)ψ(c)∥f⋅dφ∥.
Without very specific additional conditions on f, the continuity of ψ is essential in order to get relation (1). As a corollary of Theorem 6.1, the author obtains, with an alternative proof, a formula for change of variables in [S. Leader, Real Anal. Exchange 29 (2003/04), no. 2, 905--920; MR2083825 (2005f:26023)], for the case φ=Id and ψ real-valued of bounded variation.
In the second part of the paper, necessary and sufficient conditions are given in order that the integrability of f⋅dφ implies that of f∘ψ⋅d(φ∘ψ) and the change of variable formula.
Reviewed by Luisa Di Piazz
Il viaggio di Boorde
No full textThis essay is centred on the significant role of British travel writing in the description of sixteenth-century Sicily. The analysis in particular examines Andrew Boorde''s The First Book of the Introduction of Knowledge", published in London in 1548, where the author-physician emphasises numerous Sicilian pathologies in a burlesque vein
Catching the Gazelle: Antecedents and Outcomes of High Growth Firms
No full textThis three-essay dissertation seeks to resolve some of the unanswered questions that exist about high-growth firms (HGFs). Paper I identifies the antecedents and outcomes of HGFs to better inform economic development policy. In explaining the theoretical and operational constructs of these concepts, a model of the situation of high-growth firms is developed, dubbed the Model of High Growth Firm Antecedents and Outputs. Antecedents to HGFs include an entrepreneurial mindset, firm strategic resources, and firm structural characteristics, while outputs of HGFs include regional innovation outcomes and regional economic outcomes. Paper II investigated the quantitative association between antecedents and outputs of HGFs. This paper used path analysis to test hypotheses within the Regional High-Growth Firm Antecedents and Outcomes Framework, and finds a strong positive association between most antecedents (human capital, startup capital, and business costs) and HGFs, a positive relationship between most antecedents and outcomes (employment and per capita income), and an association between HGFs and employment. Paper III establishes a typology of HGFs using cluster-discriminate analysis. Using a sample of 26,104 firms in the state of Ohio from the Quarterly Census of Employment and Wages, this paper finds that only a small portion of HGFs display high-growth characteristics described in the literature
CATCHING THE GAZELLE: ANTECEDENTS AND OUTCOMES OF HIGH GROWTH FIRMS
No full textThis three-essay dissertation seeks to resolve some of the unanswered questions that exist about high-growth firms (HGFs). Paper I identifies the antecedents and outcomes of HGFs to better inform economic development policy. In explaining the theoretical and operational constructs of these concepts, a model of the situation of high-growth firms is developed, dubbed the Model of High Growth Firm Antecedents and Outputs. Antecedents to HGFs include an entrepreneurial mindset, firm strategic resources, and firm structural characteristics, while outputs of HGFs include regional innovation outcomes and regional economic outcomes. Paper II investigated the quantitative association between antecedents and outputs of HGFs. This paper used path analysis to test hypotheses within the Regional High-Growth Firm Antecedents and Outcomes Framework, and finds a strong positive association between most antecedents (human capital, startup capital, and business costs) and HGFs, a positive relationship between most antecedents and outcomes (employment and per capita income), and an association between HGFs and employment. Paper III establishes a typology of HGFs using cluster-discriminate analysis. Using a sample of 26,104 firms in the state of Ohio from the Quarterly Census of Employment and Wages, this paper finds that only a small portion of HGFs display high-growth characteristics described in the literature
Great reduction of human and avian type A Influenza virus multiplication by MESNA ( sodium-2 mercaptoethanesulfonate ) treatment.
No full text7.3 Great reduction of human and avian type A Influenza virus multiplication by MESNA
(sodium-2 mercaptoethanesulfonate ) treatment.
G. Conti 1, P.Portincasa 1, F. Piazza (), G. Dieci 2, F. Zani () and C. Zini ()
1 Department of Pathology and Laboratory Medicine, Microbiology Section
2 Department of Biochemistry and Molecular Biology
Department of Pharmacy
Department of Otorino-Odonto-Ophthalmology
University of Parma, Gramsci 14, Parma, Italy
The antiviral activity of MESNA, a thiol group compound, was evaluated in LLC-MK2 cells infected by Influenza
virus. MESNA was able to inhibit viral multiplicaton in a dose-dependent fashion and virus yield, obtained both with
HA and plaque assaies, were reduced at concentrations which did not suppress protein synthesis in mock-infected cells.
Experiments of post-treatment performed at different times showed that addition of the drug was effective until 6 hours
p.i. Removal of the compound at various times showed that the inhibition was not reversible at all times p.i. Also in
this case haemagglutination assayes were carried out at 24, 48 and 72 hours of infection. Pre-treatment of uninfected
LLC-MK2 cell monolayers were performed to gain informations on the possibility to render these cells resistant to viral
infection. At 24,48 and 72 hours p.i. the presence of virus particles in maintenance medium without MESNA was
evaluated by HA assayes . In these conditions no mature viral particles were detected at all times tested after infection..
Viral protein synthesis was studied in condition of treatment. At different interval-times monolayers of infected LLCMK2
cells were pulse-labeled with [35S]-methionine (30μCi/ml). MESNA-treatment determines a marked reduction of
the normal synthesis of early and late viral proteins suggesting an action on viral transcriptase. “In vitro” assay of viral
RNA dependent-RNA polymerase activity performed on purified Influenza virions showed negative results: MESNA is
not able to determine an inhibition or block of the virus enzyme activity. This evidence leads us to hypothesise a
possible involvement of a cellular factor (s). We are currently investigating the role / concentration level of the ratio
Ox-Red glutathione, GSSG / GSH. Results obtained with human influenza virus strain, A, NWS, H1N1,were
completely reproducible and comparable with those obtained with avian influenza virus strain, A, Ulster 73, H7N1.
Furthermore, data obtained in MDCK cells were comparable to those, above described, obtained in LLC-MK2 cells.
Corresponding Author: prof. Giorgio Cont
Inhibition of human and avian type A Influenza virus multiplication performed by MESNA
No full textThe antiviral activity of MESNA, a thiol group compound, was evaluated in LLC-MK2 cells infected by Influenza virus.
MESNA was able to inhibit viral multiplicaton in a dose-dependent fashion and virus yield, obtained both with HA and plaque assaies, was reduced at concentrations which did not suppress protein synthesis in mock-infected cells.
MESNA treatment determined a marked reduction of the normal synthesis of early and late virus-induced proteins suggesting an action on viral transcriptase.
However, “in vitro” assay of viral RNA dependent-RNA polymerase activity performed on purified virions showed negative results in that MESNA was not able to inhibit or block virus enzyme activity.
This evidence led us to hypothesise a possible involvement of a cellular factor (s). We have investigated the role and the concentration of the ratio Ox-Red glutathione, GSSG / GSH.
Results obtained demonstrate a correlation between the intracellular concentration of GSH and progression/ inhibition of viral infection.
In particular, the results reported here demonstrate that the amounts of GSH reached into the cells are a direct consequence of MESNA treatments.
Data obtained with human influenza virus strain, A, NWS, H1N1, were completely reproducible and comparable with those obtained with avian influenza virus strain, A, Ulster 73, H7N1.
Furthermore, data obtained in MDCK cells were comparable to those, above described, obtained in LLC-MK2 cells.
Corresponding Author: prof. Giorgio Cont
Guidonia, la piazza comunale e i suoi edifici
No full textIl contributo, nel ricostruire la vicenda storico costruttiva della città di fodnazione di Guidonia, affianca alla attività di ricerca storica, un articolato lavoro di rilievo delle caratteristiche metriche e costruttive degli edifici. Alcune esemplificazioni del risultato raggiunto nel grado di conoscenza dei caratteri costruttivi degli edifici è esemplificato con cinque schede relative agli edifici che circondano la piazza, redatte a cura dell'autore.The contribution in the reconstruction of the story of the historic city of constructive fodnazione Guidonia, alongside the activities of historical research, a detailed survey work of the metric characteristics and construction of buildings. Some examples of the results achieved in the degree of knowledge of the constructive character of the buildings is exemplified with five tabs on buildings surrounding the square, prepared by the author
Correction to: Unprescribed cannabinoids and multiple sclerosis: a multicenter, cross-sectional, epidemiological study in Lombardy, Italy (Journal of Neurology, (2024), 10.1007/s00415-024-12472-4)
No full textIn the original version of this article, affiliation details for author Riccardo Giossi were incorrectly given as 2Poison Control Center and Clinical Pharmacology Unit, ASST Grande Ospedale Metropolitano Niguarda, Piazza Ospedale Maggiore, 3, 20162 Milan, Italy but should have been 1Neuroimmunology and Neuromuscular Diseases Unit, Fondazione IRCCS Istituto Neurologico Carlo Besta, Via Celoria, 11, 20133 Milan, Italy and 2Poison Control Center and Clinical Pharmacology Unit, ASST Grande Ospedale Metropolitano Niguarda, Piazza Ospedale Maggiore, 3, 20162 Milan, Italy The original article has been corrected
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