Amplituhedron-like geometries

We consider amplituhedron-like geometries which are defined in a similar way to the intrinsic definition of the amplituhedron but with non-maximal winding number. We propose that for the cases with minimal number of points the canonical form of these geometries corresponds to the product of parity conjugate amplitudes at tree as well as loop level. The product of amplitudes in superspace lifts to a star product in bosonised superspace which we give a precise definition of. We give an alternative definition of amplituhedron-like geometries, analogous to the original amplituhedron definition, and also a characterisation as a sum over pairs of on-shell diagrams that we use to prove the conjecture at tree level. The union of all amplituhedron-like geometries has a very simple definition given by only physical inequalities. Although such a union does not give a positive geometry, a natural extension of the standard definition of canonical form, the globally oriented canonical form, acts on this union and gives the square of the amplitude.

Impact of Ocean Domain Definition on Sea Level Budget

Total sea level changes from space radar altimetry are mainly decomposed into two contributions of mass addition and volume expansion of oceans, measured by GRACE space gravimeter and Argo float array, respectively. However, the averages of altimetry, mass, and steric sea level changes have been usually examined over the respective data domains, which are different to one another. Errors arise from this area inconsistency is rarely discussed in the previous studies. Here in this study, an alternative definition of ocean domain is applied for examining sea level budgets, and the results are compared with estimates from different ocean areas. It shows that the impact of area inconsistency is estimated by about 0.3 mm/yr of global trend difference, and averages based on a consistent ocean area yield a closer agreement between altimetry and mass + steric in trend. This contribution would explain some discordances of past sea level budget studies.

AN ANALOGY OF HAHN–BANACH SEPARATION THEOREM FOR NEARLY TOPOLOGICAL LINEAR SPACES

In this paper, we introduce the notion of nearly topological linear spaces and use it to formulate an alternative definition of the Hahn–Banach separation theorem. We also give an example of a topological linear space to which the result is not valid. It is shown that \(\mathbb{R}\) with its ordinary topology is not a nearly topological linear space.

ISLAMIC PERSPECTIVE OF HUMAN BEING CHARACTERISTICS IN WILLIAM BLAKE’S POEMS

This paper attempts to discover the characteristics of the human being through William Blake's Poems as an alternative definition. Among Blake's poems, The Divine Image and The Human Abstract are the most representative of discovering human characteristics. Moreover, this study strives to establish the correlation between Islamic values and European literature. The study uses new criticism in discovering the characteristics in the poems by two steps of analysis; paraphrasing and explication. After conducting the analysis, it is found that there are four positive characteristics in The Divine Image and four negative characteristics in The Human Abstract. The positive characteristics consist of mercy, pity, peace, and love, while the negative ones are exploitation, cruelty, conflict, and hypocritical humility. An Islamic expert, Murtadha Muthahhari, perceives the result of the analysis of the poem. Muthahhari explains fourteen positive and eight negative points of humans following the Holy Qur'an. It is found that the poems' human positive and negative characteristics include in MurtadhaMuthahhari's points of thought. Thus, the ideas of human being’s characteristics in the poems are related to Murtadha Muthahhari’s thoughts.

The Effect of an Alternative Definition of “Percent Highly Annoyed” on the Exposure–Response Relationship: Comparison of Noise Annoyance Responses Measured by ICBEN 5-Point Verbal and 11-Point Numerical Scales

Since the development of the 5-point verbal and 11-point numerical scales for measuring noise annoyance by the ICBEN Team 6, these scales have been widely used in socio-acoustic surveys worldwide, and annoyance responses have been easily compared internationally. However, both the top two categories of the 5–point verbal scale and the top three ones of the 11-point numerical scale are correspond to high annoyance, so it is difficult to precisely compare annoyance responses. Therefore, we calculated differences in day–evening–night-weighted sound pressure levels (Lden) by comparing values corresponding to 10% highly annoyed (HA) on Lden_%HA curves obtained from measurements in 40 datasets regarding surveys conducted in Japan and Vietnam. The results showed that the Lden value corresponding to 10% HA using the 5-point verbal scale was approximately 5 dB lower than that of the 11-point numerical scale. Thus, some correction is required to compare annoyance responses measured by the 5-point verbal and the 11-point numerical scales. The results of this study were also compared with those of a survey in Switzerland.

MUNDOS POSIBLES DE LO FANTÁSTICO. UNA APROXIMACIÓN A LA ESTRUCTURA DE MUNDO

Resumen: La teoría de los mundos posibles que plantean Lubomir Doležel, Umberto Eco y Thomas Pavel se aplica en esta propuesta a lo fantástico para concretar los rasgos ontológicos, cualitativos, cuantitativos y de homogeneidad / heterogeneidad que configuran la macroestructura de este tipo de mundos; un análisis que posibilita diferenciar este territorio ficcional de otros con que suele confundirse, como lo maravilloso y la ciencia ficción. Así, se proporciona una definición de lo fantástico, alternativa a las actuales, que contempla las relaciones inter-mundos en que se fundamenta su especificidad ficcional.Abstract: In this paper, possible-world theory, as advanced by Lubomir Doležel, Umberto Eco and Thomas Pavel, has been applied to the fantastic in order to characterise its macrostructure through the identification of its defining features, namely, its ontological, qualitative, quantitative and homogeneity / heterogeneity traits. This analysis makes it possible to differentiate the fantastic from other fictional territories with which it is usually mistaken, such as the marvellous and science-fiction. Thus, an alternative definition of the fantastic is given by considering the interworld relations in which its fictional specificity lies.

On the Very Idea of Civilisation

The concept of civilisation is a controversial one because it is unavoidably normative in its implications. Its historical associations with the effort of Western imperialism to impose substantive conditions of life have made it difficult for contemporary liberalism to find a definition of “civilization” that can be reconciled with progressive discourse that seeks to avoid exclusions of various kinds. But because we lack a way of identifying what is peculiar to the relationship of civilisation that avoids the problem of domination, it has tended to be conflated with other ideas. Taking Samuel Huntington's idea of a “Clash of Civilisations” as a starting point, this article argues that we suffer from a widespread confusion of civilisation with “culture,” and that we also confuse it with other ideas including modernity and technological development. Drawing on Thomas Hobbes, the essay proposes an alternative definition of civilisation as the existence of limits on how we may treat others.

The Welfarist Account of Disenhancement as Applied to Nonhuman Animals

I criticize the current usage of the terms “enhancement” and “disenhancement” in the debate over the genetic modification of animals and propose an alternative definition of these terms based on how modifications affect animals’ welfare in particular contexts. The critique largely follows a similar criticism of the use of the term “enhancements” in the human bioethics literature. I first describe how the term “disenhancement” has been used in debates thus far, and argue that the present lack of a shared definition is problematic. I then consider some potential definitions of “disenhancement” that can be adapted from the human bioethics literature and argue that most of these uses are flawed for the purposes of using the term in current ethical debates. Finally, I elaborate on the welfarist conception of disenhancement and consider some potential objections, using examples from the literature to illustrate key points.