Search results for "lemma"
showing 10 items of 210 documents
The snail lemma for internal groupoids
2019
Abstract We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in replacing pointed groupoids with groupoids internal to a pointed regular category with reflexive coequalizers.
Bipullbacks of fractions and the snail lemma
2017
Abstract We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a π 0 - π 1 exact sequence associated with a fractor between groupoids internal to a pointed exact category.
Recurrence and genericity
2003
We prove a C^1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C^1-generic diffeomorphisms. For instance, C^1-generic conservative diffeomorphisms are transitive. Nous montrons un lemme de connexion C^1 pour les pseudo-orbites des diffeomorphismes des varietes compactes. Nous explorons alors les consequences pour les diffeomorphismes C^1-generiques. Par exemple, les diffeomorphismes conservatifs C^1-generiques sont transitifs.
Maximal regularity via reverse Hölder inequalities for elliptic systems of n-Laplace type involving measures
2008
In this note, we consider the regularity of solutions of the nonlinear elliptic systems of n-Laplacian type involving measures, and prove that the gradients of the solutions are in the weak Lebesgue space Ln,∞. We also obtain the a priori global and local estimates for the Ln,∞-norm of the gradients of the solutions without using BMO-estimates. The proofs are based on a new lemma on the higher integrability of functions.
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
2015
Submitted by Alexandre Almeida (jaralmeida@ua.pt) on 2015-11-12T11:41:07Z No. of bitstreams: 1 RieszWolff_RIA.pdf: 159825 bytes, checksum: d99abdf3c874f47195619a31ff5c12c7 (MD5) Approved for entry into archive by Bella Nolasco(bellanolasco@ua.pt) on 2015-11-17T12:18:41Z (GMT) No. of bitstreams: 1 RieszWolff_RIA.pdf: 159825 bytes, checksum: d99abdf3c874f47195619a31ff5c12c7 (MD5) Made available in DSpace on 2015-11-17T12:18:41Z (GMT). No. of bitstreams: 1 RieszWolff_RIA.pdf: 159825 bytes, checksum: d99abdf3c874f47195619a31ff5c12c7 (MD5) Previous issue date: 2015-04
Co-Evolutionary Coupling via a Digital-bio Ecosystem : A Suggestion for a New R&D Model in the Digital Economy
2019
A solution to the critical problem of a dilemma between R&D expansion and productivity decline that a majority of information and communication technology (ICT) leaders have been confronting in the digital economy is expected. It can be expected by a spinoff from economic functionality-seeking GDP-based coevolution cycle to supra-functionality beyond an economic value-seeking uncaptured GDP-driven coevolution cycle. However, the transformation dynamism remains a black box. By means of numerical simulations based on empirical analyses of the development trajectories of global ICT leaders, focusing on Amazon and Finland, together with an intensive review of preceding analyses, this paper atte…
Of Oaks, Erratic Boulders, and Milkmaids
2004
In the study and care for rural landscapes and their inhabitants a perpetual dilemma is knowing the different discourses those landscapes embody for a culture group, or “discourse community,” as Siri Aasbo (1999: 148) calls it (after Eco 1977). It is a well-known truism that a gap exists in the understanding and evaluation of landscapes between insiders and outsiders, natives and visitors, actors and observers, inhabitants and experts. Since this is known territory, I shall not revisit it, except to restate the obvious — expert opinion, even when well-intended, rarely agrees with the local inhabitants in what is good for them. As Sverker Sorlin expresses it, landscape is a “contested terrai…
Oltre il dilemma monismo/dualismo: l’ontologia non riduzionista della coscienza nel naturalismo biologico di John Searle
2006
La relazione mira a testare la fecondità del modello naturalista ed antiriduzionista dell’ontologia della coscienza elaborato da John Searle alla luce della sua capacità di superare l’apparentemente inevitabile dilemma monismo/dualismo. La posizione searleana rivela la propria attendibilità nella sua capacità di superare le aporie concettuali alle quali sembrerebbero esporsi alcune tra le più avanzate proposte teoriche contemporanee sull’ontologia della coscienza, con riferimento in particolare alle proposte elaborate da Dennett e Chalmers in chiave rispettivamente eliminativista e dualista. Si analizza inoltre la proposta searleana in ordine alla sua capacità di proporre una soluzione conv…
Having the final say: Machine support of ethical decisions of doctors
2015
Machines that support highly complex decisions of doctors have been a reality of r almost half a century. In the 1950s. computer-supported medical diag nostic systems started with "punched cru·ds in a shoe box". In the 1960s :md 1970s medicine wa�. to a cenain extent, transfo rmed into a quantitative science by inten sive i nt erdisc ip linary research coUaborations o f exp erts fi·om medicine. mathemat ics and electrical engineering; This was followed by a second shift in research on machine support of medical decisions from numerical probabilistic to knowledge basedapproaches. Solutions ofthe later form cameto be known as (medic;ll) expert systems, knowledge based systems research o•· …
Harnessing soft innovation resources leads to neo open innovation
2019
Advancement of the digital economy has transformed the concept of the growth crossover in nations and firms, both concerning input and output. Advanced economies have been confronting a dilemma between input increases and output decreases. Contrary to traditional expectations, excessive increase in input has resulted in a productivity decline in output. A solution to this dilemma can only be expected by harnessing the vigor of soft innovation resources that lead to neo open innovation in the digital economy. This paper attempts to demonstrate this hypothetical view. Based on an empirical analysis of the development trajectories of 140 countries and 500 global ICT firms, dynamism, resulting …