scholarly journals Labeled Trees, Functions, and an Algebraic Identity

10.37236/675 ◽  
2011 ◽  
Vol 18 (1) ◽  
Author(s):  
Stephan Wagner

We give a short and direct proof of a remarkable identity that arises in the enumeration of labeled trees with respect to their indegree sequence, where all edges are oriented from the vertex with lower label towards the vertex with higher label. This solves a problem posed by Shin and Zeng in a recent article. We also provide a generalization of this identity that translates to a formula for the number of rooted spanning forests with given indegree sequence.


Author(s):  
M.L.A. Dass ◽  
T.A. Bielicki ◽  
G. Thomas ◽  
T. Yamamoto ◽  
K. Okazaki

Lead zirconate titanate, Pb(Zr,Ti)O3 (PZT), ceramics are ferroelectrics formed as solid solutions between ferroelectric PbTiO3 and ant iferroelectric PbZrO3. The subsolidus phase diagram is shown in figure 1. PZT transforms between the Ti-rich tetragonal (T) and the Zr-rich rhombohedral (R) phases at a composition which is nearly independent of temperature. This phenomenon is called morphotropism, and the boundary between the two phases is known as the morphotropic phase boundary (MPB). The excellent piezoelectric and dielectric properties occurring at this composition are believed to.be due to the coexistence of T and R phases, which results in easy poling (i.e. orientation of individual grain polarizations in the direction of an applied electric field). However, there is little direct proof of the coexistence of the two phases at the MPB, possibly because of the difficulty of distinguishing between them. In this investigation a CBD method was found which would successfully differentiate between the phases, and this was applied to confirm the coexistence of the two phases.



2016 ◽  
Vol 14 (1) ◽  
pp. 125-135
Author(s):  
Patrick J. Connolly

In a recent article Fred Ablondi compares the different approaches to occasionalism put forward by two eighteenth-century Newtonians, Colin Maclaurin and Andrew Baxter. The goal of this short essay is to respond to Ablondi by clarifying some key features of Maclaurin's views on occasionalism and the cause of gravitational attraction. In particular, I explore Maclaurin's matter theory, his views on the explanatory limits of mechanism, and his appeals to the authority of Newton. This leads to a clearer picture of the way in which Maclaurin understood gravitational attraction and the workings of nature.



1962 ◽  
Vol 41 (3) ◽  
pp. 474-480 ◽  
Author(s):  
Otto Wegelius ◽  
E. J. Jokinen

ABSTRACT In all previous investigations on experimental exophthalmos, heterologous thyrotrophic pituitary extracts have been used. These protein hormones stimulate antihormone formation in the test animals. Cortisone has been reported to effectively block antibody formation. In addition, it has been shown to potentiate TSH-induced exophthalmos in guinea-pigs. With rabbits as test animals, the hexosamine content of the orbital tissues was determined and used as an index of exophthalmos development and at the same time the antibody titres in the sera were followed. TSH injections for six weeks led to a highly significant accumulation of hexosamine in the retrobulbar connective tissue and in the extraocular muscles, i. e. an increase of up to 400% as compared with the control animals. At the same time a significant rise in antihormonal titres was detectable in the sera. Concomitant treatment with cortisone brought about an equal or higher accumulation of hexosamine but significantly lower antibody titres. The known opposite peripheral actions of TSH and cortisone can be reconciled with the synergy in producing experimental exophthalmos by attributing the synergetic action of cortisone to the blocking of antihormone formation. If less antihormones are produced, the effect of TSH is enhanced. Our experiments do not provide direct proof for this hypothesis. High hexosamine values in the orbit and low antihormone titres in the serum are, however, concomitant phenomena.



1901 ◽  
Vol 65 (1) ◽  
pp. 594-603
Author(s):  
Octave Join-Lambert
Keyword(s):  




2020 ◽  
Author(s):  
CHIEN WEI

UNSTRUCTURED The recent article published on July 22 in 2020 remains several questionable issues that are required to clarifications further, particularly for readers who hope to replicate Figure 1 from the data in Table 1. Although I reproduced a similar forest plot based on the effect ratios and their 95% confidence intervals(Cis) similar to Figure 1 in that article, no detailed information about the source of standard error(SE) for each country was seen and addressed. Others like the positive 95% Cis reflecting the negative Z values in the forest plot and the Q statistics used for examining the heterogeneity test are requied to interpretations and classifications. Most importantly, authors did not explain how to estimate the number of infected people in Wuhan, China, to be 143,000 ,significantly higher than the number of confirmed cases(=75,815 in Wuhan, China) that is required to provide the equations or methodologies in an article.



1958 ◽  
Vol 23 (12) ◽  
pp. 2169-2174 ◽  
Author(s):  
V. Herout ◽  
M. Suchý
Keyword(s):  


2019 ◽  
pp. 1-8 ◽  
Author(s):  
Maciej A. Górecki

Abstract In a recent article published in Politics & Gender, Michael Jankowski and Kamil Marcinkiewicz (2019) study the effects of gender quotas on the electoral performance of female candidates in open-list proportional representation (OLPR) systems. On the empirical side, their study is a critical reanalysis of the Polish case, in particular the regularities demonstrated in a 2014 study that I coauthored. We argued there that at the micro level (candidate level), the effects of quotas were somewhat “paradoxical”: following the installation of quotas, women candidates tend to perform worse relative to their male counterparts than they did during the pre-quota period. Jankowski and Marcinkiewicz claim to demonstrate that those “paradoxical” effects are minor and thus practically negligible. In this note, I argue that their conclusion is largely a result of the particular methodological choices made by these authors. These choices seem unobvious, debatable, and potentially controversial. The note concludes that we need more reflection and debate on the methodological aspects of analyzing candidates’ electoral success in complex electoral systems, such as multidistrict OLPR. This would greatly facilitate future efforts aimed at an unequivocal examination of the contentious concepts such as the notion of “paradox of gender quotas.”



1996 ◽  
Vol 37 (2) ◽  
pp. 23-66
Author(s):  
Elizabeth Reitz Mullenix

On 29 December 1845, Charlotte Cushman did an extraordinary thing at the Haymarket theatre: she convincingly transformed herself into a man. Audience members who witnessed this performance were captivated by “the transmuting power” of Cushman's “genius” as she became Romeo. This production (and Cushman's Romeo in general) continues to fascinate both contemporary theatre historians and feminist scholars, who are equally impressed with Cushman's seeming ability to create an unsettling paradox. In a recent article, Anne Russell discusses the positive reception that Cushman's Romeo received and questions how the cross-dressed actress could have been so successful “in a period when dominant gender ideologies assumed clearly delineated separate spheres for men and women, when stage reviewers as a manner of routine assessed the ‘womanliness’ or ‘manliness’ of characters and performers.” As Russell explains, the nineteenth-century audience member, critic, and/or commentator read the human figure on stage as either male or female; indeed, such antithetic thinking was pervasive throughout nineteenth-century culture. Cushman was unique, however, in that she repeatedly defied such categorization, both in her theatrical performances and in her “private” life.



Author(s):  
Claude Carlet ◽  
Kwang Ho Kim ◽  
Sihem Mesnager
Keyword(s):  


Sign in / Sign up

Export Citation Format

Share Document