scholarly journals The Concept of Function at the Beginning of the 20th Century: A Historiographical Approach

2018 ◽  
pp. 171
Author(s):  
Loredana Biacino
Keyword(s):  
Large Class ◽  
20Th Century ◽  
Modern Theory ◽  
Discontinuous Functions ◽  
Italian Mathematicians ◽  
Real Functions ◽  
Concept Of Function ◽  
And Function ◽  
Class Of Functions

The evolution of the concept of function at the beginning of the 20th century in France after the definitions by Dirichlet and Riemann and the introduction of several pathological functions is studied. Some young mathematicians of those years (Baire, known for his classification of discontinuous functions, Borel and Lebesgue famous for their new theories on measure and integration) made several attempts to propose a large class of functions as “accessible” objects. Their discussions, their purposes and polemics are reported often by their own words supported by a large bibliography. The contribution of some Italian mathematicians, as Vitali, is also underlined.  Some of such discussions are linked to the growth of measure and function theories, others will find mathematical answers in the modern theory of computability for real functions.

Modeling Affordances and Functioning for Personalized Robotic Assistance

2020 ◽  
Author(s):  
Alessandro Umbrico ◽  
Gabriella Cortellessa ◽  
Andrea Orlandini ◽  
Amedeo Cesta
Keyword(s):  
Domain Knowledge ◽  
Experimental Tests ◽  
International Classification Of Functioning ◽  
Knowledge Representation And Reasoning ◽  
Health State ◽  
Knowledge Reasoning ◽  
Cognitive Assistance ◽  
Ontological Model ◽  
And Function

A key aspect of robotic assistants is their ability to contextualize their behavior according to different needs of assistive scenarios. This work presents an ontology-based knowledge representation and reasoning approach supporting the synthesis of personalized behavior of robotic assistants. It introduces an ontological model of health state and functioning of persons based on the International Classification of Functioning, Disability and Health. Moreover, it borrows the concepts of affordance and function from the literature of robotics and manufacturing and adapts them to robotic (physical and cognitive) assistance domain. Knowledge reasoning mechanisms are developed on top of the resulting ontological model to reason about stimulation capabilities of a robot and health state of a person in order to identify action opportunities and achieve personalized assistance. Experimental tests assess the performance of the proposed approach and its capability of dealing with different profiles and stimuli.

Coefficient inequalities related with typically real functions

2020 ◽  
Vol 70 (4) ◽  
pp. 829-838
Author(s):  
Saqib Hussain ◽  
Shahid Khan ◽  
Khalida Inayat Noor ◽  
Mohsan Raza
Keyword(s):  
Unit Disk ◽  
Real Functions ◽  
Coefficient Inequalities ◽  
Typically Real ◽  
Class Of Functions ◽  
Typically Real Functions

AbstractIn this paper, we are mainly interested to study the generalization of typically real functions in the unit disk. We study some coefficient inequalities concerning this class of functions. In particular, we find the Zalcman conjecture for generalized typically real functions.

scholarly journals Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms

2020 ◽  
pp. 1-17
Author(s):  
THOMAS BARTHELMÉ ◽  
SERGIO R. FENLEY ◽  
STEVEN FRANKEL ◽  
RAFAEL POTRIE
Keyword(s):  
Large Class ◽  
Universal Cover ◽  
Isotopy Class ◽  
Seifert Manifold ◽  
Hyperbolic Diffeomorphisms ◽  
Surface Homeomorphisms ◽  
Partially Hyperbolic ◽  
Partially Hyperbolic Diffeomorphisms ◽  
Partially Hyperbolic Diffeomorphism

Abstract We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends [C. Bonatti, A. Gogolev, A. Hammerlindl and R. Potrie. Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence. Geom. Topol., to appear] to the whole isotopy class. We relate the techniques to the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in [T. Barthelmé, S. Fenley, S. Frankel and R. Potrie. Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, part I: The dynamically coherent case. Preprint, 2019, arXiv:1908.06227; Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, part II: Branching foliations. Preprint, 2020, arXiv: 2008.04871]. The appendix reviews some consequences of the Nielsen–Thurston classification of surface homeomorphisms for the dynamics of lifts of such maps to the universal cover.

scholarly journals Betti numbers and pseudoeffective cones in 2-Fano varieties

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Giosuè Emanuele Muratore
Keyword(s):  
Large Class ◽  
Betti Numbers ◽  
Fano Varieties ◽  
Higher Dimensional ◽  
Special Case ◽  
Answering Questions

Abstract The 2-Fano varieties, defined by De Jong and Starr, satisfy some higher-dimensional analogous properties of Fano varieties. We consider (weak) k-Fano varieties and conjecture the polyhedrality of the cone of pseudoeffective k-cycles for those varieties, in analogy with the case k = 1. Then we calculate some Betti numbers of a large class of k-Fano varieties to prove some special case of the conjecture. In particular, the conjecture is true for all 2-Fano varieties of index at least n − 2, and we complete the classification of weak 2-Fano varieties answering Questions 39 and 41 in [2].

scholarly journals Re-evaluating DSM-I

2015 ◽  
Vol 46 (3) ◽  
pp. 449-456 ◽  
Author(s):  
R. Cooper ◽  
R. K. Blashfield
Keyword(s):  
World War Ii ◽  
20Th Century ◽  
International Classification Of Diseases ◽  
World War ◽  
Statistical Manual ◽  
Dsm 5 ◽  
Mental Diseases ◽  
Classification Of Diseases ◽  
The Military

The DSM-I is currently viewed as a psychoanalytic classification, and therefore unimportant. There are four reasons to challenge the belief that DSM-I was a psychoanalytic system. First, psychoanalysts were a minority on the committee that created DSM-I. Second, psychoanalysts of the time did not use DSM-I. Third, DSM-I was as infused with Kraepelinian concepts as it was with psychoanalytic concepts. Fourth, contemporary writers who commented on DSM-I did not perceive it as psychoanalytic. The first edition of the DSM arose from a blending of concepts from the Statistical Manual for the Use of Hospitals of Mental Diseases, the military psychiatric classifications developed during World War II, and the International Classification of Diseases (6th edition). As a consensual, clinically oriented classification, DSM-I was popular, leading to 20 printings and international recognition. From the perspective inherent in this paper, the continuities between classifications from the first half of the 20th century and the systems developed in the second half (e.g. DSM-III to DSM-5) become more visible.

Dubrovnik Republic in Russian Historiography in the 19th — the Beginning of the 20th Century

Istoriya ◽  
2021 ◽  
Vol 12 (9 (107)) ◽  
pp. 0
Author(s):  
Irina Vorobyova
Keyword(s):  
20Th Century ◽  
Urban Studies ◽  
Initial Period ◽  
Medieval History ◽  
European Cities ◽  
History Of ◽  
Imaginative Literature ◽  
Urban Problems ◽  
Scientific Results

This article concerns the initial period of the phenomena of Dubrovnik Republic, who kept its independence during centuries in the alien ethnic and confessional surroundings. This item seldom appeared in the sphere of attention of the specialists upon the European urban studies. The historian V. V. Makushev (1837—1883), being at the diplomatic service in Dubrovnik, studied the resources and published the scientific results in his articles and monographs. He created his author classification of the sources of the urban problems, evaluated their informational  capability, proved the historical value of the imaginative literature. This approach is actual for the analysis of the medieval history of the Mediterranean and other European cities.

scholarly journals Urban Citizenship: A Case Study of Philanthropy by Missionaries in Magelang Municipality

2018 ◽  
Vol 13 (2) ◽  
pp. 129
Author(s):  
Yudianto Yudianto
Keyword(s):  
Civil Society ◽  
20Th Century ◽  
City Council ◽  
Early 20Th Century ◽  
Urban Citizenship ◽  
And Function

This study will answer the question of how far the case of philanthropy action by zending in the Magelang City can be understood as citizenship in the context of the early 20th century? By looking at the relationships between philanthropists and institutional of city council (gemeenteraad) it is expected to clarify their position and function in the early 20th century of colonial cities. In addition to indicating the strengthening of civil society, the case is part of the urban community’s efforts to contribute various forms of participation that are not merely interested in politics or the movement of the nation.

scholarly journals Classification of rough transformations of a circle from a modern point of view

2018 ◽  
Vol 20 (4) ◽  
pp. 408-418
Author(s):  
A. E. Kolobyanina ◽  
E. V. Nozdrinova ◽  
O. V. Pochinka
Keyword(s):  
Invariant Manifolds ◽  
Sufficient Conditions ◽  
Periodic Points ◽  
Point Of View ◽  
Topological Classification ◽  
Topological Invariants ◽  
Modern Theory ◽  
Ambient Manifold ◽  
Periodic Data

In this paper the authors use modern methods and approaches to present a solution to the problem of the topological classification of circle’s rough transformations in canonical formulation. In the modern theory of dynamical systems such problems are understood as the complete topological classification: finding topological invariants, proving the completeness of the set of invariants found and constructing a standard representative from a given set of topological invariants. Namely, in the first theorem of this paper the type of periodic data of circle’s rough transformations is established. In the second theorem necessary and sufficient conditions of their conjugacy are proved. These conditions mean coincidence of periodic data and rotation numbers. In the third theorem the admissible set of parameters is implemented by a rough transformation of a circle. While proving the theorems, we assume that the results on the local topological classification of hyperbolic periodic points, as well as the results on the global representation of the ambient manifold as a union of invariant manifolds of periodic points, are known.

scholarly journals IX. On the structure and development of the liver

1849 ◽  
Vol 139 ◽  
pp. 109-137 ◽  
Keyword(s):  
Royal Society ◽  
A Priori ◽  
Structural Features ◽  
Structure And Function ◽  
Conclusive Evidence ◽  
Interesting Paper ◽  
Biliary Ducts ◽  
And Function ◽  
Do So

In venturing to offer a second communication to the Royal Society respecting the structure of the liver, I feel the rather anxious to do so, that I may have an opportunity of correcting an error and supplying a deficiency which existed in my previous paper. In the following observations I purpose to present some account of the structure of the liver examined in the ascending series of animals, and also to describe the several stages of its evolution in the embryo; in this way I trust I may be able to exhibit the characteristic structural features of the organ as it exists in Man and the higher animals, and also to determine the true place which ought to be assigned to it in a classification of the various glandular organs occurring in the same. I am not aware that any detailed account of the structure of the liver has been recently published, except that by M. Natalis Guillot, which however, so far as I comprehend it, does not seem to be one that can be readily accepted; the idea that the minute biliary ducts and lymphatics originate together in a common net-work, is à priori improbable, and entirely opposed to conclusive evidence (as I think), which will be subsequently adduced. A very interesting paper on the structure and function of the liver has also appeared in the 4th volume of the Guy’s Hospital Reports, from the pen of Dr. Williams; to his labours I shall several times have occasion to refer, but it will be seen that I differ from him in several particulars, especially respecting the importance of the basement or limitary membrane.

scholarly journals Cardiomyopathy Classification: Ongoing Debate in the Genomics Era

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Charles McCartan ◽  
Robert Mason ◽  
S. R. Jayasinghe ◽  
Lyn R. Griffiths
Keyword(s):  
Adverse Effects ◽  
Genetic Information ◽  
Molecular Basis ◽  
Genetic Basis ◽  
Muscle Size ◽  
Systemic Diseases ◽  
Ongoing Debate ◽  
Traditional Classification ◽  
And Function

Cardiomyopathies represent a group of diseases of the myocardium of the heart and include diseases both primarily of the cardiac muscle and systemic diseases leading to adverse effects on the heart muscle size, shape, and function. Traditionally cardiomyopathies were defined according to phenotypical appearance. Now, as our understanding of the pathophysiology of the different entities classified under each of the different phenotypes improves and our knowledge of the molecular and genetic basis for these entities progresses, the traditional classifications seem oversimplistic and do not reflect current understanding of this myriad of diseases and disease processes. Although our knowledge of the exact basis of many of the disease processes of cardiomyopathies is still in its infancy, it is important to have a classification system that has the ability to incorporate the coming tide of molecular and genetic information. This paper discusses how the traditional classification of cardiomyopathies based on morphology has evolved due to rapid advances in our understanding of the genetic and molecular basis for many of these clinical entities.

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