The Optimum Distance at which to Determine the Size of a Giant Air Shower

To determine the size of an extensive air shower it is not necessary to have knowledge of the function that describes the fall-off of signal size from the shower core (the lateral distribution function). In this paper an analysis with a simple Monte Carlo model is used to show that an optimum ground parameter can be identified for each individual shower. At this optimal core distance, $r_\mathrm{opt}$, the fluctuations in the expected signal, $S(r_\mathrm{opt})$, due to a lack of knowledge of the lateral distribution function are minimised. Furthermore it is shown that the optimum ground parameter is determined primarily by the array geometry, with little dependence on the energy or zenith angle of the shower or choice of lateral distribution function. For an array such as the Pierre Auger Southern Observatory, with detectors separated by 1500 m in a triangular configuration, the optimum distance at which to measure this characteristic signal is close to 1000 m

Linear and nonlinear response of a rectangular plate subjected to lateral and inplane sonic boom disturbances

Transient response of rectangular window pane exposed to sonic boom disturbance using linear and nonlinear theorie

Parameters for Twisted Representations

The study of Hermitian forms on a real reductive group $G$ gives rise, in the unequal rank case, to a new class of Kazhdan-Lusztig-Vogan polynomials. These are associated with an outer automorphism $\delta$ of $G$, and are related to representations of the extended group $$. These polynomials were defined geometrically by Lusztig and Vogan in "Quasisplit Hecke Algebras and Symmetric Spaces", Duke Math. J. 163 (2014), 983--1034. In order to use their results to compute the polynomials, one needs to describe explicitly the extension of representations to the extended group. This paper analyzes these extensions, and thereby gives a complete algorithm for computing the polynomials. This algorithm is being implemented in the Atlas of Lie Groups and Representations software

Algebraic methods in the theory of generalized Harish-Chandra modules

This paper is a review of results on generalized Harish-Chandra modules in the framework of cohomological induction. The main results, obtained during the last 10 years, concern the structure of the fundamental series of $(\mathfrak{g},\mathfrak{k})-$modules, where $\mathfrak{g}$ is a semisimple Lie algebra and $\mathfrak{k}$ is an arbitrary algebraic reductive in $\mathfrak{g}$ subalgebra. These results lead to a classification of simple $(\mathfrak{g},\mathfrak{k})-$modules of finite type with generic minimal $\mathfrak{k}-$types, which we state. We establish a new result about the Fernando-Kac subalgebra of a fundamental series module. In addition, we pay special attention to the case when $\mathfrak{k}$ is an eligible $r-$subalgebra (see the definition in section 4) in which we prove stronger versions of our main results. If $\mathfrak{k}$ is eligible, the fundamental series of $(\mathfrak{g},\mathfrak{k})-$modules yields a natural algebraic generalization of Harish-Chandra's discrete series modules.Comment: Keywords : generalized Harish-Chandra module, (g,k)-module of finite type, minimal k-type, Fernando-Kac subalgebra, eligible subalgebra; Pages no. : 13; Bibliography : 21 item

An Institutional Framework for Heterogeneous Formal Development in UML

We present a framework for formal software development with UML. In contrast to previous approaches that equip UML with a formal semantics, we follow an institution based heterogeneous approach. This can express suitable formal semantics of the different UML diagram types directly, without the need to map everything to one specific formalism (let it be first-order logic or graph grammars). We show how different aspects of the formal development process can be coherently formalised, ranging from requirements over design and Hoare-style conditions on code to the implementation itself. The framework can be used to verify consistency of different UML diagrams both horizontally (e.g., consistency among various requirements) as well as vertically (e.g., correctness of design or implementation w.r.t. the requirements)

Biochemical Research on Mongolian lichens, Bryophytes and Vascular Plants – In Memoriam, Dr. Siegfried Huneck (1928–2011)

Dr. Siegfried Huneck, biochemist and lichenologist from the Institute for Biochemistry of Plants in Halle/Saale, died on September 9, 2011. He was a world wide leading expert on lichen substances. An obituary with curriculum vitae and a complete list of publications was published by Stordeur et al. (2011

Mother-Infant Attachment: Path Analysis of the Predictive Role of Trauma Therapy and Select Demographics on Mother\u27s Cognitive Responses

Problem The best outcome for attachment when an infant is born would be a secure attachment, but this is not always the case. Insecure attachments are likely to be formed when the mother has experienced domestic violence given the right environment (Huth-Bocks et al., 2011; Theran et al., 2005). A previous study showed that changes to attachment due to postnatal intervention are based on external behaviors rather than internal though processes (Theran et al., 2005). Because of this, the purpose of this study is to compare therapy categories and each of the observable attachment factors. Method Participants completed a survey which measured the tolerance, acceptance, pleasure in proximity, and competence as a parent in regard to the mother\u27s response to her child(ren) ages zero to six months old, as well demographic information. Data was analyzed using a one-way multivariate analysis of variance (MANOVA), a one-way analysis of variance (ANOVA), post hoc tests, and a path analysis to answer two main research questions and five sub-questions. Results The MANOVA results showed a marginally significant difference among the trauma therapy categories on the dependent variables. Subsequent ANOVA results showed that, individually, trauma therapy had a significant effect on tolerance, pleasure in proximity, and competence as a parent. Bonferroni post hoc analysis showed that not attending therapy significantly differs from attending group therapy in regard to competence as a parent. The hypothesized model was a good fit for the data. This model indicated a weak statistically significant direct effect of childhood abuse on trauma therapy. Race, childhood abuse, and support system all had weak statistically significant direct effect on ATT and trauma therapy had a weak moderately significant direct effect on ATT. Conclusion This study was designed to help understand if various types of trauma therapy could be effective in the formation of a more secure attachment between mother and infant when the mother has had a history of domestic violence. This study also looked to understand if various demographic factors have an effect on the attendance of trauma therapy or on ATT, either directly or as mediated through trauma therapy. Results have indicated that when looking at maternal attachment responses, it may be more beneficial to look at the individual types of trauma therapy and areas of attachment rather than at trauma therapy and attachment as wholes. In regard to demographic factors, there were weak significant direct effects found for both trauma therapy and ATT. This study also offers various implications for future research and professional practice

A CASE STUDY OF PEDAGOGICAL PRACTICES THAT BOOST CHINESE STUDENTS’ ORAL ENGLISH SELF-CONFIDENCE

Practice is necessary for developing oral English proficiency, but many Chinese learners of English lack the self-confidence to practice oral English; furthermore, students’ self-confidence deficiency is perpetuated by insufficient oral English proficiency. The purpose of this qualitative case study was to discover pedagogical practices that break the cycle of the reciprocal effect of deficiencies in oral English and in self-confidence in Chinese adult PhD non-English major students. Six participants who raised their oral English proficiency and self-confidence during their PhD studies described their English learning journeys by responding to interview questions. Analyzation of data from interview responses developed into two themes of pedagogical practices that simultaneously raised participants’ oral English fluency and boosted their self-confidence. The results of this study revealed the specific speaking and listening strategies and aspects of fostering a learning environment that were effective for the participants and are recommended for raising oral English proficiency and self-confidence for Chinese adult PhD non-English major students

Comparison of Hadronic Interaction Models at Auger Energies

The three hadronic interaction models DPMJET 2.55, QGSJET 01, and SIBYLL 2.1, implemented in the air shower simulation program CORSIKA, are compared in the energy range of interest for the Pierre Auger experiment. The model dependence of relevant quantities in individual hadronic interactions and air showers is investigated.Comment: Contribution to XII Int. Symp. on Very High Energy Cosmic Ray Interactions, 4 pages, 8 figure