54 research outputs found

    Errors Analysis of Solving Linear Inequalities among the Preparatory Year Students at King Saud University.

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    The purpose of This study aims to investigate the errors classes occurred by the Preparatory year students at King Saud University, through analysis student responses to the items of the study test, and to identify the varieties of the common errors and ratios of common errors that occurred in solving inequalities. In the collection of the data, the researcher employed the open-ended questions test consisted of nine items distributive on three types of inequalities (linear, involve absolute value and fractional). In the data analysis, descriptive analysis method was used. The result sho­wed that some students had some misconceptions and misunderstanding in solving types of inequalities. The greatest common errors ratio was (20%) in solving linear inequality come from the class “Errors in basic algebraic operations and deletion. But the ratio (22%) were the greatest common errors ratio in solving fractional and involving absolute value inequalities come from the class errors in absent meaning of inequality. Keywords: inequality, Common Errors, Misconception, Mathematics Education

    Searches for R-parity-violating supersymmetry in pp collisions at √s=8  TeV in final states with 0–4 leptons

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    Searches for R-parity-violating supersymmetry in pp collisions at √s=8  TeV in final states with 0–4 leptons

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    Measurement of prompt and nonprompt charmonium suppression in PbPb collisions at 5.02 TeV

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    The nuclear modification factors of J/psi and psi(2S) mesons are measured in PbPb collisions at a centre-of-mass energy per nucleon pair of root S-NN = 5.02 TeV. The analysis is based on PbPb and pp data samples collected by CMS at the LHC in 2015, corresponding to integrated luminosities of 464 mu b(-1) and 28 pb(-1), respectively. The measurements are performed in the dimuon rapidity range of vertical bar y vertical bar 25 GeV/c is seen with respect to that observed at intermediate p(T). The prompt psi(2S) meson yield is found to be more suppressed than that of the prompt J/psi mesons in the entire p(T) range.Peer reviewe

    Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at sqrts=13 sqrt{s}=13 TeV

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    A search for a new scalar resonance decaying to a pair of Z bosons is performed in the mass range from 130 GeV to 3 TeV, and for various width scenarios. The analysis is based on proton-proton collisions recorded by the CMS experiment at the LHC in 2016, corresponding to an integrated luminosity of 35.9 fb −1 at a center-of-mass energy of 13 TeV. The Z boson pair decays are reconstructed using the 4 ℓ , 2 ℓ 2q, and 2 ℓ 2 ν final states, where ℓ = e or μ . Both gluon fusion and electroweak production of the scalar resonance are considered, with a free parameter describing their relative cross sections. A dedicated categorization of events, based on the kinematic properties of associated jets, and matrix element techniques are employed for an optimal signal and background separation. A description of the interference between signal and background amplitudes for a resonance of an arbitrary width is included. No significant excess of events with respect to the standard model expectation is observed and limits are set on the product of the cross section for a new scalar boson and the branching fraction for its decay to ZZ for a large range of masses and widths

    Measurements of the associated production of a Z boson and b jets in pp collisions at root s=8 TeV

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    Erratum to: Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at s=13 \sqrt{s}=13 TeV

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    Electroweak production of two jets in association with a Z boson in proton–proton collisions at s=\sqrt{s}= 13TeV\,\text {TeV}

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    A measurement of the electroweak (EW) production of two jets in association with a Z boson in proton-proton collisions at s√=13TeV is presented, based on data recorded in 2016 by the CMS experiment at the LHC corresponding to an integrated luminosity of 35.9fb--1. The measurement is performed in the ℓℓjj final state with ℓ including electrons and muons, and the jets j corresponding to the quarks produced in the hard interaction. The measured cross section in a kinematic region defined by invariant masses mℓℓ>50GeV, mjj>120GeV, and transverse momenta pTj>25GeV is σEW(ℓℓjj)=534±20(stat)±57(syst) fb, in agreement with leading-order standard model predictions. The final state is also used to perform a search for anomalous trilinear gauge couplings. No evidence is found and limits on anomalous trilinear gauge couplings associated with dimension-six operators are given in the framework of an effective field theory. The corresponding 95% confidence level intervals are −2.6<cWWW/Λ2<2.6TeV−2 and −8.4<cW/Λ2<10.1TeV−2. The additional jet activity of events in a signal-enriched region is also studied, and the measurements are in agreement with predictions

    Observation of Medium-Induced Modifications of Jet Fragmentation in Pb-Pb Collisions at √S^{S}NN = 5.02 TeV Using Isolated Photon-Tagged Jets

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    Measurements of fragmentation functions for jets associated with an isolated photon are presented for the first time in pp and Pb-Pb collisions. The analysis uses data collected with the CMS detector at the CERN LHC at a nucleon-nucleon center-of-mass energy of 5.02 TeV. Fragmentation functions are obtained for jets with pjetT>30  GeV/c in events containing an isolated photon with pγT>60  GeV/c, using charged tracks with transverse momentum ptrkT>1  GeV/c in a cone around the jet axis. The association with an isolated photon constrains the initial pT and azimuthal angle of the parton whose shower produced the jet. For central Pb-Pb collisions, modifications of the jet fragmentation functions are observed when compared to those measured in pp collisions, while no significant differences are found in the 50% most peripheral collisions. Jets in central Pb-Pb events show an excess (depletion) of low (high) pT particles, with a transition around 3  GeV/c. This measurement shows for the first time the in-medium shower modifications of partons (quark dominated) with well-defined initial kinematics. It constitutes a new well-controlled reference for testing theoretical models of the parton passage through the quark-gluon plasma

    Observation of Medium-Induced Modifications of Jet Fragmentation in Pb-Pb Collisions at root s(NN)=5.02 TeV Using Isolated Photon-Tagged Jets

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    Measurements of fragmentation functions for jets associated with an isolated photon are presented for the first time in pp and Pb-Pb collisions. The analysis uses data collected with the CMS detector at the CERN LHC at a nucleon-nucleon center-of-mass energy of 5.02 TeV. Fragmentation functions are obtained for jets with P-T(jet) 30 GeV/c in events containing an isolated photon with p(T)(gamma) 60 GeV/c, using charged tracks with transverse momentum p(T)(trk) > 1 GeV/c in a cone around the jet axis. The association with an isolated photon constrains the initial p(T) and azimuthal angle of the parton whose shower produced the jet. For central Pb-Pb collisions, modifications of the jet fragmentation functions are observed when compared to those measured in pp collisions, while no significant differences are found in the 50% most peripheral collisions. Jets in central Pb-Pb events show an excess (depletion) of low (high) p(T) particles, with a transition around 3 GeV/c. This measurement shows for the first time the in-medium shower modifications of partons (quark dominated) with well-defined initial kinematics. It constitutes a new well-controlled reference for testing theoretical models of the parton passage through the quark-gluon plasma.Peer reviewe
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