scholarly journals Discontinuity of Straightening in Anti-Holomorphic Dynamics: II

Author(s):  
Hiroyuki Inou ◽  
Sabyasachi Mukherjee

Abstract In [21], Milnor found Tricorn-like sets in the parameter space of real cubic polynomials. We give a rigorous definition of these Tricorn-like sets as suitable renormalization loci and show that the dynamically natural straightening map from such a Tricorn-like set to the original Tricorn is discontinuous. We also prove some rigidity theorems for polynomial parabolic germs, which state that one can recover unicritical holomorphic and anti-holomorphic polynomials from their parabolic germs.

2021 ◽  
pp. 1-17
Author(s):  
Daniel Acland

Abstract Benefit-cost analysis (BCA) is typically defined as an implementation of the potential Pareto criterion, which requires inclusion of any impact for which individuals have willingness to pay (WTP). This definition is incompatible with the exclusion of impacts such as rights and distributional concerns, for which individuals do have WTP. I propose a new definition: BCA should include only impacts for which consumer sovereignty should govern. This is because WTP implicitly preserves consumer sovereignty, and is thus only appropriate for ‘sovereignty-warranting’ impacts. I compare the high cost of including non-sovereignty-warranting impacts to the relatively low cost of excluding sovereignty-warranting impacts.


2019 ◽  
Vol 9 (2) ◽  
pp. 183-197 ◽  
Author(s):  
Gabriel Gatti ◽  
Jaume Peris ◽  
Iñaki Robles Elong ◽  
Silvia Rodríguez Maeso ◽  
Ramón Sáez Valcárcel

La ausencia es un tópico común en los textos que toman a la desaparición forzada o al desaparecido como objeto de interés. No es extraño, pues se han conseguido a partir de ese concepto resultados poderosos. Sin embargo, como en casi todo lo que se naturaliza, el contenido del concepto y de sus declinaciones ha perdido fuelle y cuesta saber de qué se habla cuando se habla de ausencia. Dentro del esfuerzo por construir una definición rigurosa de “desaparición social”, este texto regresa sobre el concepto, observa sus usos más instalados y sobre todo busca vías para volver a llenarlo de contenido. En este texto daremos algunos pasos en esa renovación. Absence is a common topic in the literature that analyzes forced disappearances and the disappeared. This is understandable because approaches from this concept have brought about remarkable insights. However, as it usually happens when something is naturalized, the concept’s content and its derivations have lost centrality and we find it hard to tell what’s the meaning of this concept. In an endeavor to develop a rigorous definition of “social disappearance”, this article looks back at the concept, focuses on its dominant uses and, above all, searches for ways to fill it with content. The present work moves forward with the renovation of this notion.


1927 ◽  
Vol 31 (204) ◽  
pp. 1073-1109
Author(s):  
J. F. Baker

In no branch of structural engineering is there a rigorous definition of the term “secondary stress.”If the primary stresses in a structure are determined, that is, the stresses in the members due to an external load system, assuming that all the members are joined together by perfect pin- or ball-joints, then the secondary stresses are in general taken to be the additional stresses due to the rigidity of the actual joints used in practice.In such a highly redundant structure as an airship hull the labour involved, in determining even the primary stresses, precludes the use of the normal methods of stressing. It is usual to make use of generalised methods which give approximate results. These generalised methods imply that the external loads are applied to the structure in a certain distribution. Though this is rarely achieved, yet the results obtained are in most cases sufficiently accurate if suitable bracing is supplied to redistribute the external loads over the cross-section; the effect of the initial wrong distribution being then merely local.


2019 ◽  
Vol 25 (1) ◽  
Author(s):  
Fabio Luiz Albarici ◽  
Ismael Foroughi ◽  
Gabriel do Nascimento Guimarães ◽  
Marcelo Santos ◽  
Jorge Trabanco

Abstract The physical heights definition of heights, proposed by Helmert in 1890 is one of the commonly used heights systems in practice. In Helmert’s definition, the mean value of gravity along plumbline is computed by simplifying the topography with a Bouguer shell containing masses with mean density value. Although this approximation might be accurate enough many purposes, a more rigorous definition can be determined by considering the effects of terrain, topographic mass density variation, and masses contained in the geoid the mean gravity value along the plumbline. The purpose of this paper is to compute the corrections for the Helmert’s definition of the orthometric heights to obtain the rigorous orthometric heights in the state of São Paulo and adjacent states and to evaluate these corrections. The heights system used in Brazil (until July 2018) and some South American countries is normal-orthometric heights, therefore the corrections needs to be applied accordingly. Our numerical results show that there are significant differences between the normal-orthometric and rigorous orthometric heights, with maximum values of ~ 0.4 m, minimum of ~ -0.8 m and mean value of ~ -0.32 m. There are larger differences between normal-orthometric and normal height than the ones between normal and rigorous definition of orthometric heights.


2016 ◽  
Vol 39 ◽  
Author(s):  
Martin Rolfs ◽  
Michael Dambacher

AbstractThe investigation of top-down effects on perception requires a rigorous definition of what qualifies as perceptual to begin with. Whereas Firestone & Scholl's (F&S's) phenomenological demarcation of perception from cognition appeals to intuition, we argue that the dividing line is best attained at the functional level. We exemplify how this approach facilitates scrutinizing putative interactions between judging and perceiving.


Author(s):  
A. S. Holevo

The rigorous definition of time-ordered exponentials, solving quantum linear stochastic differential equations, is extended to Boson and Fermion stochastic calculi with infinitely many degrees of freedom. The relation to the classicalmultiplicative stochastic integral, solving the Doleans exponential equation, is discussed.


1988 ◽  
Vol 160 (0) ◽  
pp. 143-206 ◽  
Author(s):  
Bodil Branner ◽  
John H. Hubbard

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