5,861 research outputs found

    On effects of regular S=1 dilution of S=1/2 antiferromagnetic Heisenberg chains by a quantum Monte Carlo simulation

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    The effects of regular S=1 dilution of S=1/2 isotropic antiferromagnetic chain are investigated by the quantum Monte Carlo loop/cluster algorithm. Our numerical results show that there are two kinds of ground-state phases which alternate with the variation of S1=1S^1=1 concentration. When the effective spin of a unit cell is half-integer, the ground state is ferrimagnetic with gapless energy spectrum and the magnetism becomes weaker with decreasing of the S1S^1 concentration ρ=1/M\rho = 1/M. While it is integer, a non-magnetic ground state with gaped spectrum emerges and the gap gradually becomes narrowed as fitted by a relation of Δ1.25ρ\Delta \approx 1.25\sqrt{\rho}.Comment: 6 pages, 9 figure

    Complete loss of case and gender within two generations: evidence from Stamford Hill Hasidic Yiddish

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    Yiddish was the everyday language spoken by most Central and East European Jews during the last millennium. As a result of the extreme loss of speakers during the Holocaust, subsequent geographic dispersal, and lack of institutional support, Yiddish is now an endangered language. Yet it continues to be a native and daily language for Haredi (strictly Orthodox) Jews, who live in close-knit communities worldwide. We have conducted the first study of the linguistic characteristics of the Yiddish spoken in the community in London’s Stamford Hill. While Krogh (in: Aptroot, Aptroot et al. (eds.) Leket: Yiddish studies today, Düsseldorf University Press, Düsseldorf, pp 483–506, 2012), Assouline (in: Aptroot, Hansen (eds.) Yiddish language structures, De Gruyter Mouton, Berlin, pp 39–62, 2014), and Sadock and Masor (J Jew Lang 6(1):89–110, 2018), investigating other Hasidic Yiddish-speaking communities, observe what they describe as morphological syncretism, in this paper we defend the claim that present-day Stamford Hill Hasidic Yiddish lacks morphological case and gender completely. We demonstrate that loss of morphological case and gender is the result of substantial language change over the course of two generations: while the case and gender system of the spoken medium was already beginning to undergo morphological syncretism and show some variation prior to World War II, case and gender distinctions were clearly present in the mental grammar of both Hasidic and non-Hasidic speakers of the relevant Yiddish dialects at that stage. We conclude the paper by identifying some of the language-internal, sociolinguistic and historical factors that have contributed to such rapid and pervasive language change, and compare the developments in Stamford Hill Hasidic Yiddish to those of minority German dialects in North America

    Game saturation of intersecting families

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    We consider the following combinatorial game: two players, Fast and Slow, claim kk-element subsets of [n]={1,2,...,n}[n]=\{1,2,...,n\} alternately, one at each turn, such that both players are allowed to pick sets that intersect all previously claimed subsets. The game ends when there does not exist any unclaimed kk-subset that meets all already claimed sets. The score of the game is the number of sets claimed by the two players, the aim of Fast is to keep the score as low as possible, while the aim of Slow is to postpone the game's end as long as possible. The game saturation number is the score of the game when both players play according to an optimal strategy. To be precise we have to distinguish two cases depending on which player takes the first move. Let gsatF(In,k)gsat_F(\mathbb{I}_{n,k}) and gsatS(In,k)gsat_S(\mathbb{I}_{n,k}) denote the score of the saturation game when both players play according to an optimal strategy and the game starts with Fast's or Slow's move, respectively. We prove that Ωk(nk/35)gsatF(In,k),gsatS(In,k)Ok(nkk/2)\Omega_k(n^{k/3-5}) \le gsat_F(\mathbb{I}_{n,k}),gsat_S(\mathbb{I}_{n,k}) \le O_k(n^{k-\sqrt{k}/2}) holds

    Innovations in the Contemporary Hasidic Yiddish pronominal system

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    Translating Covid-19 information into Yiddish for the UK Hasidic community

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    This article documents a recent project translating COVID-19 information into Yiddish for the benefit of the Hasidic Jewish communities in London’s Stamford Hill and in Manchester in the UK. The translation work developed as a response to the urgent need for Yiddish-language resources specifically designed for the Hasidic community near the beginning of the pandemic. The translations were undertaken by a team consisting of linguists and native speakers of Hasidic Yiddish and took place within the framework of a research project funded by the UK Arts and Humanities Research Council, dedicated to linguistic and sociolinguistic analysis of contemporary Hasidic Yiddish worldwide. In this article we discuss the sociolinguistic background to the translations and investigate the reasons why they were so urgently needed, before going on to address the issues encountered during the course of the translation process and the decisions taken in order to resolve them. These issues include the type of Yiddish chosen for the translations, the translation of medical terminology, gender-based linguistic differences affecting the translations, and specific cultural considerations that needed to be taken into account

    On the Largest Singular Values of Random Matrices with Independent Cauchy Entries

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    We apply the method of determinants to study the distribution of the largest singular values of large m×n m \times n real rectangular random matrices with independent Cauchy entries. We show that statistical properties of the (rescaled by a factor of \frac{1}{m^2\*n^2})largest singular values agree in the limit with the statistics of the inhomogeneous Poisson random point process with the intensity 1πx3/2 \frac{1}{\pi} x^{-3/2} and, therefore, are different from the Tracy-Widom law. Among other corollaries of our method we show an interesting connection between the mathematical expectations of the determinants of complex rectangular m×n m \times n standard Wishart ensemble and real rectangular 2m×2n 2m \times 2n standard Wishart ensemble.Comment: We have shown in the revised version that the statistics of the largest eigenavlues of a sample covariance random matrix with i.i.d. Cauchy entries agree in the limit with the statistics of the inhomogeneous Poisson random point process with the intensity $\frac{1}{\pi} x^{-3/2}.

    Relationships between the planetary boundary layer height and surface pollutants derived from lidar observations over China: regional pattern and influencing factors

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    The frequent occurrence of severe air pollution episodes in China has been a great concern and thus the focus of intensive studies. Planetary boundary layer height (PBLH) is a key factor in the vertical mixing and dilution of near-surface pollutants. However, the relationship between PBLH and surface pollutants, especially particulate matter (PM) concentration across China, is not yet well understood. We investigate this issue at  ∼ 1600 surface stations using PBLH derived from space-borne and ground-based lidar, and discuss the influence of topography and meteorological variables on the PBLH–PM relationship. Albeit the PBLH–PM correlations are roughly negative for most cases, their magnitude, significance, and even sign vary considerably with location, season, and meteorological conditions. Weak or even uncorrelated PBLH–PM relationships are found over clean regions (e.g., Pearl River Delta), whereas nonlinearly negative responses of PM to PBLH evolution are found over polluted regions (e.g., North China Plain). Relatively strong PBLH–PM interactions are found when the PBLH is shallow and PM concentration is high, which typically corresponds to wintertime cases. Correlations are much weaker over the highlands than the plains regions, which may be associated with lighter pollution loading at higher elevations and contributions from mountain breezes. The influence of horizontal transport on surface PM is considered as well, manifested as a negative correlation between surface PM and wind speed over the whole nation. Strong wind with clean upwind air plays a dominant role in removing pollutants, and leads to obscure PBLH–PM relationships. A ventilation rate is used to jointly consider horizontal and vertical dispersion, which has the largest impact on surface pollutant accumulation over the North China Plain. As such, this study contributes to improved understanding of aerosol–planetary boundary layer (PBL) interactions and thus our ability to forecast surface air pollution.</p

    Magnetic and thermal properties of 4f-3d ladder-type molecular compounds

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    We report on the low-temperature magnetic susceptibilities and specific heats of the isostructural spin-ladder molecular complexes L2_{2}[M(opba)]_{3\cdot xDMSOy\cdot yH2_{2}O, hereafter abbreviated with L2_{2}M3_{3} (where L = La, Gd, Tb, Dy, Ho and M = Cu, Zn). The results show that the Cu containing complexes (with the exception of La2_{2}Cu3_{3}) undergo long range magnetic order at temperatures below 2 K, and that for Gd2_{2}Cu3_{3} this ordering is ferromagnetic, whereas for Tb2_{2}Cu3_{3} and Dy2_{2}Cu3_{3} it is probably antiferromagnetic. The susceptibilities and specific heats of Tb2_{2}Cu3_{3} and Dy2_{2}Cu3_{3} above TCT_{C} have been explained by means of a model taking into account nearest as well as next-nearest neighbor magnetic interactions. We show that the intraladder L--Cu interaction is the predominant one and that it is ferromagnetic for L = Gd, Tb and Dy. For the cases of Tb, Dy and Ho containing complexes, strong crystal field effects on the magnetic and thermal properties have to be taken into account. The magnetic coupling between the (ferromagnetic) ladders is found to be very weak and is probably of dipolar origin.Comment: 13 pages, 15 figures, submitted to Phys. Rev.

    Visual Thinking Process and Emotions Through Expressive Art

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    Background: Drawing has a therapeutic function in the lives of people with special needs.These people need additional support for communication and learning.Researchers believed that drawing is an effective way for these people to show their self-esteem, emotions, social competence, and other hidden personalities. Art therapy teaches knowledge of visual art (drawing and painting). It is also known as expressive art because it assists in dealing with some emotions that are difficult for verbal communication. Furthermore, art therapy is beneficial for fine motor skill development. The aim of this study was to explore the use of expressive art in a group of autistic people. Subjects and Method: This was a qualitative study. A series of art therapy workshop were conducted in University of Malaya in collaboration with Malaysian Rehabilitation Council, and Maybank Foundation. A number of 18 people aged 8-17 years old with autism from Malaysian Rehabilitation Council were invited to University of Malaya for the art therapy workshop. They consisted of Malays, Chinese, and Indians. These peoplehad some level of communication problems. Art therapy workshop was conducted twice a month for 6 month with each session lasted for 4 hours. Art template, art materials, and a list of activities were given to each participant. Before the session, the participants informed the researchers verbally the scope of art that they would be drawing. The researchers observed the thinking process and emotions of the participants through the art activities. Results: Some of the art work was not related to what they have mentioned earlier. We found that art demonstrated their thought process. Drawing was more accurate in visualizing their thinking process rather than verbal communication. Besides, we detected a range of emotions illustrated from their final art work. Some of the emotions were psychological distress, happiness, and sadness. Conclusion: Expressive artis useful for visualizing thinking process of autistic people. Keywords: art therapy, autistic, visual thinking, emotions, expressive ar
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