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Data from the first physics run at the Relativistic Heavy-Ion Collider at Brookhaven National Laboratory, Au+Au collisions at sqrt[sNN]=130 GeV, have been analyzed by the STAR Collaboration using three-pion correlations with charged pions to study whether pions are emitted independently at freeze-out. We have made a high-statistics measurement of the three-pion correlation function and calculated the normalized three-particle correlator to obtain a quantitative measurement of the degree of chaoticity of the pion source. It is found that the degree of chaoticity seems to increase with increasing particle multiplicity.
The balance function is a new observable based on the principle that charge is locally conserved when particles are pair produced. Balance functions have been measured for charged particle pairs and identified charged pion pairs in Au+Au collisions at sqrt[sNN]=130 GeV at the Relativistic Heavy Ion Collider using STAR. Balance functions for peripheral collisions have widths consistent with model predictions based on a superposition of nucleon-nucleon scattering. Widths in central collisions are smaller, consistent with trends predicted by models incorporating late hadronization.
Azimuthal anisotropy (v2) and two-particle angular correlations of high pT charged hadrons have been measured in Au+Au collisions at sqrt[sNN]=130 GeV for transverse momenta up to 6 GeV/c, where hard processes are expected to contribute significantly. The two-particle angular correlations exhibit elliptic flow and a structure suggestive of fragmentation of high pT partons. The monotonic rise of v2(pT) for pT<2 GeV/c is consistent with collective hydrodynamical flow calculations. At pT>3 GeV/c, a saturation of v2 is observed which persists up to pT=6 GeV/c.
Azimuthal anisotropy (v2) and two-particle angular correlations of high pT charged hadrons have been measured in Au+Au collisions at sqrt[sNN]=130 GeV for transverse momenta up to 6 GeV/c, where hard processes are expected to contribute significantly. The two-particle angular correlations exhibit elliptic flow and a structure suggestive of fragmentation of high pT partons. The monotonic rise of v2(pT) for pT<2 GeV/c is consistent with collective hydrodynamical flow calculations. At pT>3 GeV/c, a saturation of v2 is observed which persists up to pT=6 GeV/c.
Elliptic flow holds much promise for studying the early-time thermalization attained in ultrarelativistic nuclear collisions. Flow measurements also provide a means of distinguishing between hydrodynamic models and calculations which approach the low density (dilute gas) limit. Among the effects that can complicate the interpretation of elliptic flow measurements are azimuthal correlations that are unrelated to the reaction plane (nonflow correlations). Using data for Au + Au collisions at sqrt[sNN]=130 GeV from the STAR time projection chamber, it is found that four-particle correlation analyses can reliably separate flow and nonflow correlation signals. The latter account for on average about 15% of the observed second-harmonic azimuthal correlation, with the largest relative contribution for the most peripheral and the most central collisions. The results are also corrected for the effect of flow variations within centrality bins. This effect is negligible for all but the most central bin, where the correction to the elliptic flow is about a factor of 2. A simple new method for two-particle flow analysis based on scalar products is described. An analysis based on the distribution of the magnitude of the flow vector is also described.
We report the first observation of K*(892)0--> pi K in relativistic heavy ion collisions. The transverse momentum spectrum of (K*0+K*0)/2 from central Au+Au collisions at sqrt[sNN]=130 GeV is presented. The ratios of the K*0 yield derived from these data to the yields of negative hadrons, charged kaons, and phi mesons have been measured in central and minimum bias collisions and compared with model predictions and comparable e+e-, pp, and p-barp results. The data indicate no dramatic reduction of K*0 production in relativistic heavy ion collisions despite expected losses due to rescattering effects.
We report STAR results on the azimuthal anisotropy parameter v2 for strange particles K0S, Lambda , and Lambda -bar at midrapidity in Au+Au collisions at sqrt[sNN]=130 GeV at the Relativistic Heavy Ion Collider. The value of v2 as a function of transverse momentum, pt, of the produced particle and collision centrality is presented for both particles up to pt~3.0 GeV/c. A strong pt dependence in v2 is observed up to 2.0 GeV/c. The v2 measurement is compared with hydrodynamic model calculations. The physics implications of the pt integrated v2 magnitude as a function of particle mass are also discussed.
Inclusive transverse momentum distributions of charged hadrons within 0.2<pT<6.0 GeV/c have been measured over a broad range of centrality for Au+Au collisions at sqrt[sNN]=130 GeV. Hadron yields are suppressed at high pT in central collisions relative to peripheral collisions and to a nucleon-nucleon reference scaled for collision geometry. Peripheral collisions are not suppressed relative to the nucleon-nucleon reference. The suppression varies continuously at intermediate centralities. The results indicate significant nuclear medium effects on high-pT hadron production in heavy-ion collisions at high energy.
We report the first measurement of strange ( Lambda ) and antistrange ( Lambda -bar) baryon production from sqrt[sNN]=130 GeV Au+Au collisions at the Relativistic Heavy Ion Collider (RHIC). Rapidity density and transverse mass distributions at midrapidity are presented as a function of centrality. The yield of Lambda and Lambda -bar hyperons is found to be approximately proportional to the number of negative hadrons. The production of Lambda -bar hyperons relative to negative hadrons increases very rapidly with transverse momentum. The magnitude of the increase cannot be described by existing hadronic string fragmentation models alone.
Men and women differ substantially regarding height, weight, and body fat. Interestingly, previous work detecting genetic effects for waist-to-hip ratio, to assess body fat distribution, has found that many of these showed sex-differences. However, systematic searches for sex-differences in genetic effects have not yet been conducted. Therefore, we undertook a genome-wide search for sexually dimorphic genetic effects for anthropometric traits including 133,723 individuals in a large meta-analysis and followed promising variants in further 137,052 individuals, including a total of 94 studies. We identified seven loci with significant sex-difference including four previously established (near GRB14/COBLL1, LYPLAL1/SLC30A10, VEGFA, ADAMTS9) and three novel anthropometric trait loci (near MAP3K1, HSD17B4, PPARG), all of which were significant in women, but not in men. Of interest is that sex-difference was only observed for waist phenotypes, but not for height or body-mass-index. We found no evidence for sex-differences with opposite effect direction for men and women. The PPARG locus is of specific interest due to its link to diabetes genetics and therapy. Our findings demonstrate the importance of investigating sex differences, which may lead to a better understanding of disease mechanisms with a potential relevance to treatment options.
Das Vertrauen vieler Menschen in ihre mathematischen und musikalischen Fähigkeiten ist oftmals sehr niedrig ausgeprägt oder wenig ausdifferenziert. Sie glauben, dass sie in dem einen oder anderen Fach (oder beiden) nicht gut seien. Hinzukommt, dass die Aussage „Ich kann nicht singen“ oder „Mathematik habe ich noch nie verstanden“ durchaus gesellschaftsfähig ist und sie nicht daran hindern muss, eine erfolgreiche Karriere zu durchlaufen, noch wird es die Meinung anderer über sie ändern.
Das Projekt „European Music Portfolio – Sounding Ways into Mathematics“ (EMP-Maths) möchte dieses Verständnis ändern. Jeder kann singen und Musik machen und jeder kann Mathematik treiben. Beide Themen sind integraler Bestandteil unseres Lebens und unserer Gesellschaft. Was geändert werden muss, ist das Bild von diesen beiden Fächern und die Fähigkeit von Lehrpersonen, Lernenden die Gelegenheit zu geben, dieses zu verändern und die beiden Fächer als bereichernd für die Lebensgestaltung einzustufen.
Beispielhaft wird im Arbeitsbuch eine Aktivität vorgestellt, in welcher Mathematik und Musik in einer Unterrichtssequenz miteinander verbunden werden. Weitere Aktivitäten, die in der Schule genutzt werden können, finden sich im Handbuch für Lehrerinnen und Lehrer. Viele weitere Beispiele und Vorschläge sind bereits vorhanden (siehe Web-Seite des Projekts) und wir möchten jeden ermutigen, sie zu nutzen. Die Auswahl im Handbuch deckt einige zentralen Felder der Mathematik und der Musik ab: Singen, Tanzen, Hören, Probleme lösen, Zahlen, Messen, Raum und Form. Mit diesem Ansatz wollen wir das Projekt an die Kerncurricula der beteiligten Länder anbinden: Deutschland, Griechenland, Rumänien, Slowakei, Spanien, Schweiz und Großbritannien. Die Dokumentation der Beispiele erfolgt in einer Art von Didaktischen Design Patterns, deren Struktur an die Anforderungen des Projekts angepasst wurde.
Das Projekt „Sounding Ways into Mathematics“ stellt Aktivitäten mit unterschiedlichen mathematischen und musikalischen Inhalten vor, um Lehrpersonen ein möglichst breites Spektrum an Hilfsmitteln, Ideen und Beispielen anbieten zu können. Diese Aktivitäten sind so aufgebaut, dass sie erweiter- und anpassbar an unterschiedliche Kontexte sowie auf die Bedürfnisse einer jeden Lehrperson und deren Schülerinnen und Schülern sind. Ferner wurden diese Aktivitäten nicht nur entwickelt, um von der Lehrperson instruktiv ausgeführt zu werden, sondern, um sie gemeinsam mit der Lerngruppe zu nutzen und eventuell sogar gemeinsam zu verändern und weiter zu entwickeln.
Das Projekt „Sounding Ways into Mathematics“ steht in Verbindung zum EMP-Sprachen Projekt „A creative Way into Languages“ (http://emportfolio.eu/emp/).
European Music Portfolio (EMP) – Maths: 'Sounding ways into mathematics' : teacher’s handbook
(2016)
Music and mathematics share an odd character: many people believe that they are not good at one or the other (or both). However, ‘I cannot sing’ or ‘I never understood mathematics’ will probably not keep them from having successful careers, and nor will it change the opinions others have about them.
The project ‘European Music Portfolio – Sounding Ways into Mathematics’ (EMP-Maths) aims towards a different understanding with regards to this character. Everyone can sing and make music, and everyone can do mathematics. Both topics are integral parts of our life and society. What needs to be improved is our ability to give students opportunities to like them.
This teacher’s handbook presents activities with different mathematical and musical content in order to offer teachers resources, ideas and examples. These activities are designed to be expandable, adaptable to different contexts, and adjustable to the needs of each teacher and their students. Furthermore, these activities are not just planned to be carried out individually; a teaching unit could be used to make sense of them, or they could even be developed in connection with each other.
Apart from this teacher’s handbook, the project provides a continuing professional development (CPD) course, a webpage (http://maths.emportfolio.eu) from which all materials can be downloaded, and an online collaboration platform. A general overview of related literature and research is available in separate documents. Additional teacher booklets provide related materials and a brief overview of the theoretical background, and are the basis for the CPD courses. The project ‘Sounding Ways into Mathematics’ is related to the EMP-Languages project ‘A Creative Way into Languages’ (http://emportfolio.eu/emp/).
Musik und Mathematik haben eine Sache gemeinsam: viele Menschen glauben, dass sie in dem einen oder anderen Fach (oder beiden) nicht gut seien. Schlimmer noch, die Aussage „Ich kann nicht singen“ oder „Mathematik habe ich noch nie verstanden“ wird sie sicher nicht von einer erfolgreichen Karriere abhalten, noch wird es die Meinung anderer über sie ändern.
Das Projekt „European Music Portfolio – Sounding Ways into Mathematics“ (EMP-Maths) möchte dieses Verständnis ändern. Jeder kann singen und Musik machen und jeder kann Mathematik treiben. Beide Themen sind integraler Bestandteil unseres Lebens und unserer Gesellschaft. Was geändert werden muss, ist die Fähigkeit von Lehrpersonen, Lernenden die Gelegenheit zu geben, sie zu mögen.
Dieses Handbuch für Lehrpersonen stellt Aktivitäten mit unterschiedlichen mathematischen und musikalischen Inhalten vor, um Lehrpersonen ein möglichst breites Spektrum an Hilfsmitteln, Ideen und Beispielen anbieten zu können. Diese Aktivitäten sind so aufgebaut, dass sie erweiter- und anpassbar an unterschiedliche Kontexte sowie auf die Bedürfnisse einer jeden Lehrperson und deren Schülerinnen und Schülern sind. Ferner wurden diese Aktivitäten nicht nur entwickelt, um von der Lehrperson instruktiv ausgeführt zu werden, sondern, um sie gemeinsam mit der Lerngruppe zu nutzen und eventuell sogar gemeinsam zu verändern und weiter zu entwickeln.
Neben diesem Handbuch stellt das Projekt Weiterbildungsangebote zur Verfügung, eine Web-Seite (http://maths.emportfolio.eu), von der Materialien heruntergeladen werden können sowie eine Online Plattform zur interaktiven Zusammenarbeit. Ein Überblick über relevante Literatur und Forschung ist in einem separaten Dokument zusammengestellt. Zusätzliche Arbeitsbücher für Lehrpersonen enthalten weitere Aktivitäten sowie ausgewählte Aspekte aus dem hier zusammengestellten theoretischen Hintergrund. Diese Arbeitsbücher bilden die Grundlage der Weiterbildungskurse. Das Projekt „Sounding Ways into Mathematics“ steht in Verbindung zum EMP-Sprachen Projekt „A creative Way into Languages“ (http://emportfolio.eu/emp/).
The riparian rainforest on the streamside levees of the coastal floodplain of the Clarence River on the North Coast of New South Wales was cleared during the 1860s by small landholders seeking fertile land. Only three small remnants remain. Using a combination of historical species lists, corner trees from surveyors’ portion plans, habitat information and the NSW Scientific Committee’s (1999) determination for lowland rainforest on floodplain a conceptual model of the original distribution of rainforest suballiances on the levees of the Clarence River coastal floodplain is proposed.
Archaeological evidence indicates that pig domestication had begun by ∼10,500 y before the present (BP) in the Near East, and mitochondrial DNA (mtDNA) suggests that pigs arrived in Europe alongside farmers ∼8,500 y BP. A few thousand years after the introduction of Near Eastern pigs into Europe, however, their characteristic mtDNA signature disappeared and was replaced by haplotypes associated with European wild boars. This turnover could be accounted for by substantial gene flow from local European wild boars, although it is also possible that European wild boars were domesticated independently without any genetic contribution from the Near East. To test these hypotheses, we obtained mtDNA sequences from 2,099 modern and ancient pig samples and 63 nuclear ancient genomes from Near Eastern and European pigs. Our analyses revealed that European domestic pigs dating from 7,100 to 6,000 y BP possessed both Near Eastern and European nuclear ancestry, while later pigs possessed no more than 4% Near Eastern ancestry, indicating that gene flow from European wild boars resulted in a near-complete disappearance of Near East ancestry. In addition, we demonstrate that a variant at a locus encoding black coat color likely originated in the Near East and persisted in European pigs. Altogether, our results indicate that while pigs were not independently domesticated in Europe, the vast majority of human-mediated selection over the past 5,000 y focused on the genomic fraction derived from the European wild boars, and not on the fraction that was selected by early Neolithic farmers over the first 2,500 y of the domestication process.
Mid-rapidity transverse mass spectra and multiplicity densities of charged and neutral kaons are reported for Au + Au collisions at √sNN = 130 GeV at RHIC. The spectra are exponential in transverse mass, with an inverse slope of about 280 MeV in central collisions. The multiplicity densities for these particles scale with the negative hadron pseudo-rapidity density. The charged kaon to pion ratios are K+/π− = 0.161± 0.002(stat) ± 0.024(syst) and K−/π− = 0.146± 0.002(stat) ± 0.022(syst) for the most central collisions. The K+/π− ratio is lower than the same ratio observed at the SPS while the K−/π− is higher than the SPS result. The ratios are enhanced by about 50% relative to p + p and p¯ + p collision data at similar energies.
We present the first measurements of charge-dependent correlations on angular difference variables η1 − η2 (pseudorapidity) and φ1 − φ2 (azimuth) for primary charged hadrons with transverse momentum 0.15 <= pt <= 2 GeV/c and |η| <= 1.3 from Au–Au collisions at √sNN = 130 GeV. We observe correlation structures not predicted by theory but consistent with evolution of hadron emission geometry with increasing centrality from one-dimensional fragmentation of color strings along the beam direction to an at least two-dimensional hadronization geometry along the beam and azimuth directions of a hadron-opaque bulk medium.