Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable

Riemann type integrals for functions taking values in a locally convex space

summary:The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given

Morphometric analysis of lava tubes.

openLava tubes (also known as pyroducts) are objects of great interest not only for their role in the formation of lava flow fields on Earth but also because these geological features could have important implications for the emplacement of lava terrains across the Solar System. These features have been detected on the surface of Mars and the Moon through satellite imagery as sinuous collapse chains (often interpreted as the surface evidence of subsurface conduits) and present an opportunity to better define whether volcano-speleogenetic processes on Earth can be correlated with similar morphologies on different planetary bodies. Although to date there is not technology to observe the subsurface conduits of other planetary bodies, through the study of terrestrial analogues it is possible to infer the potential lava tube morphologies beneath the surface of Mars and the Moon. Many maps and surveys of lava tubes, collected in regional caving records around the world, show a wide variety of lava tube morphologies. Different authors have proposed several morphometrics indices to describe the genetic features of some particular karst caves. Here there same approach was applied to the lava tubes. Digitizing and collecting lava tube surveys allows us to extract several dimensional parameters and develop a global database. An initial observation of the surveys was necessary to understand qualitative morphological differences, and then morphometric indices were extracted, which were useful to recognize, through a statistical approach, a quantitative relationship between lava tube morphologies and genetic processes, in different volcanic settings. Lava tubes on Earth can have different morphologies and a huge difference in size, potentially associated with specific eruptive (effusion rates, trend and duration of the eruption) or slope parameters. In this work we analyzed and discussed this variability, trying to extrapolate useful information to understand lava tube genetic processes on other planetary bodies

Non absolutely convergent integrals of functions taking values in a locally convex space

Properties of McShane and Kurzweil-Henstock integrable functions taking values in a locally convex space are considered and the relations with other integrals are studied. A convergence theorem for the Kurzweil-Henstock integral is give

A characterization of absolutely summing operators by means of McShane integrable functions

Absolutely summing operators between Banach spaces are characterized by means of Mc-Shane integrable function

Design of an active helicopter control experiment at the Princeton Rotorcraft Dynamics Laboratory

In an effort to develop an active control technique for reducing helicopter vibrations stemming from the main rotor system, a helicopter model was designed and tested at the Princeton Rotorcraft Dynamics Laboratory (PRDL). A description of this facility, including its latest data acquisition upgrade, are given. The design procedures for the test model and its Froude scaled rotor system are also discussed. The approach for performing active control is based on the idea that rotor states can be identified by instrumenting the rotor blades. Using this knowledge, Individual Blade Control (IBC) or Higher Harmonic Control (HHC) pitch input commands may be used to impact on rotor dynamics in such a way as to reduce rotor vibrations. Discussed here is an instrumentation configuration utilizing miniature accelerometers to measure and estimate first and second out-of-plane bending mode positions and velocities. To verify this technique, the model was tested, and resulting data were used to estimate rotor states as well as flap and bending coefficients, procedures for which are discussed. Overall results show that a cost- and time-effective method for building a useful test model for future active control experiments was developed. With some fine-tuning or slight adjustments in sensor configuration, prospects for obtaining good state estimates look promising

Convergence Theorems for Varying Measures Under Convexity Conditions and Applications

In this paper, convergence theorems involving convex inequalities of Copson’s type (less restrictive than monotonicity assumptions) are given for varying measures, when imposing convexity conditions on the integrable functions or on the measures. Consequently, a continuous dependence result for a wide class of differential equations with many interesting applications, namely measure differential equations (including Stieltjes differential equations, generalized differential problems, impulsive differential equations with finitely or countably many impulses and also dynamic equations on time scales) is provided

Relaxation Theorem for Stieltjes Differential Inclusions on Infinite Intervals

For a very general first-order differential problem on an infinite-time horizon involving the Stieltjes derivative with respect to a left-continuous non-decreasing function g:[0,infinity)-> R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g:[0,\infty )\rightarrow \mathbb {R}$$\end{document}xg '(t)is an element of F(t,x(t)),t is an element of[0,infinity)x(0)=x0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \left\{ \begin{array}{l} x'_g(t) \in F(t,x(t)),\; t\in [0,\infty )\\ x(0)=x_0, \end{array} \right. \end{aligned}$$\end{document}we study the possibility to approximate the solutions of the convexified inclusion by the solutions of the non-convexified problem. Via a generalization to this framework of a classical result concerning continuous selection of trajectory, we thus present a relaxation theorem which states that, similarly to the setting of usual differential inclusions, the approximation can be achieved once we allow to the initial value to differ (but remaining close to) from the initial value of the considered solution of the relaxed inclusion

Defense mechanisms: From the individual to the collective level

Abstract: In this article we shall deal with the construction and defense of subjective identity as a topic at the intersection of psychology and anthropology. In this perspective, defense mechanisms are seen as falling along a spectrum that stretches from the individual to the collective level. The individual mind is the sphere of the intrapsychic defenses and the interpersonal maneuvers to which each of us appeals, in the relationship with other people and with one’s own environment, to defend one’s own self-describability and, indissolubly, the solidity of one’s own self-conscious being. At a social and collective level, on the other hand, the individual self-protective structures are supported by cultural interventions that organize and intersubjectively “domesticate” our subjectivity and our feeling of being-there.Keywords: Autobiographical Reasoning; Defense Mechanisms; Grief; Narrative Identity; Ontological Insecurity  Meccanismi di difesa: dall’individuale al collettivoRiassunto: L’articolo si occupa di costruzione e difesa dell’identità soggettiva come tema all’intersezione di psicologia e antropologia. In questa prospettiva, i meccanismi di difesa si dispongono lungo uno spettro che dal livello individuale conduce a quello collettivo. La mente individuale è la sfera delle difese intrapsichiche e delle manovre interpersonali a cui ognuno di noi fa ricorso, nella relazione con gli altri e col proprio ambiente, per difendere la propria autodescrivibilità e, inscindibilmente, la solidità del proprio essere autocosciente. Al livello sociale e collettivo, invece, le strutture autoprotettive dell’individuo sono sorrette da interventi culturali che organizzano e “addomesticano” intersoggettivamente la nostra soggettività e il nostro sentirci esistere.Parole chiave: Ragionamento autobiografico; Meccanismi di difesa; Cordoglio; Identità narrativa; Insicurezza ontologic