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TIGHT ASYMMETRIC ORTHOGONAL ARRAYS OF STRENGTH 2 USING FINITE PROJECTIVE GEOMETRY
M. L. AGGARWAL,LIH-YUAN DENG,MUKTA D. AZUMDER 한국통계학회 2006 Journal of the Korean Statistical Society Vol.35 No.1
Wu et al:(1992) constructed some general classes of tight asymmetricet al:(2002) obtained asymmetric orthogonal arrays of strength 2 using the con-cept of mixed spread in nite projective geometry. In this paper, we obtainsome new tight asymmetric orthogonal arrays of strength 2 using the conceptof mixed partition in nite projective geometry.AMS 2000 subject classications.Primary 62K15; Secondary 05B15.Keywords.Tight asymmetric orthogonal array, mixed spread, mixed partition, ats.1. IntroductionRao (1973) introduced asymmetric orthogonal arrays which have found nu-merous applications for quality improvements in the context of the industrialexperiments as pointed out by Taguchi (1987). An asymmetric orthogonal ar-ray OA(N;k;mk11 mk22 mknn ;t N k where k =k1 + k2 + + kn is the total number of factors in whichk1 columns have m1symbols ranging fromf0;1;:;m 1 1g, the nextk2 columns have m2 sym-bols ranging fromf0;1;:;m 2 1g and so on with the property that in anyN t subarray every possiblet row. An OA(N;k;mk11 mk22 mknn ;2) attaining Rao's boundN 1 +k1(m1 1) + k2(m2 1) + + kn(mn 1) is called tight. The special casem1 = m2 = = mn = m, (say) corresponds to a symmetric orthogonal array,denoted by an OA( ).Received August 2004; accepted February 2006.1Corresponding author. Department of Mathematical Sciences, The University of Memphis,Memphis, TN 38152, USA (e-mail : maggarwl@memphis.edu)
Inclusive-jet photoproduction at HERA and determination of α<sub>s</sub>
ZEUS Collaboration,Abramowicz, H.,Abt, I.,Adamczyk, L.,Adamus, M.,Aggarwal, R.,Antonelli, S.,Antonioli, P.,Antonov, A.,Arneodo, M.,Aushev, V.,Aushev, Y.,Bachynska, O.,Bamberger, A.,Barakbaev, A.N.,Bar North Holland 2012 Nuclear physics, B Vol.864 No.1
Inclusive-jet cross sections have been measured in the reaction ep->e+jet+X for photon virtuality Q<SUP>2</SUP><1 GeV<SUP>2</SUP> and γp centre-of-mass energies in the region 142<W<SUB>γ</SUB><SUB>p</SUB><293 GeV with the ZEUS detector at HERA using an integrated luminosity of 300 pb<SUP>-1</SUP>. Jets were identified using the k<SUB>T</SUB>, anti-k<SUB>T</SUB> or SIScone jet algorithms in the laboratory frame. Single-differential cross sections are presented as functions of the jet transverse energy, E<SUB>T</SUB><SUP>jet</SUP>, and pseudorapidity, η<SUP>jet</SUP>, for jets with E<SUB>T</SUB><SUP>jet</SUP>>17 GeV and -1<η<SUP>jet</SUP><2.5. In addition, measurements of double-differential inclusive-jet cross sections are presented as functions of E<SUB>T</SUB><SUP>jet</SUP> in different regions of η<SUP>jet</SUP>. Next-to-leading-order QCD calculations give a good description of the measurements, except for jets with low E<SUB>T</SUB><SUP>jet</SUP> and high η<SUP>jet</SUP>. The influence of non-perturbative effects not related to hadronisation was studied. Measurements of the ratios of cross sections using different jet algorithms are also presented; the measured ratios are well described by calculations including up to O(α<SUB>s</SUB><SUP>2</SUP>) terms. Values of α<SUB>s</SUB>(M<SUB>Z</SUB>) were extracted from the measurements and the energy-scale dependence of the coupling was determined. The value of α<SUB>s</SUB>(M<SUB>Z</SUB>) extracted from the measurements based on the k<SUB>T</SUB> jet algorithm is α<SUB>s</SUB>(M<SUB>Z</SUB>)=0.1206<SUB>-0.0022</SUB><SUP>+0.0023</SUP>(exp.)<SUB>-0.0035</SUB><SUP>+0.0042</SUP>(th.); the results from the anti-k<SUB>T</SUB> and SIScone algorithms are compatible with this value and have a similar precision.
Abbott, B P,Abbott, R,Abbott, T D,Abernathy, M R,Acernese, F,Ackley, K,Adams, C,Adams, T,Addesso, P,Adhikari, R X,Adya, V B,Affeldt, C,Agathos, M,Agatsuma, K,Aggarwal, N,Aguiar, O D,Aiello, L,Ain, A,A Institute of Physics 2018 Classical and quantum gravity Vol.35 No.6
<P>We present the results of a search for long-duration gravitational wave transients in the data of the LIGO Hanford and LIGO Livingston second generation detectors between <img ALIGN='MIDDLE' ALT='$ \newcommand{\OOneStart}{{\rm 12 ~September ~2015}} \newcommand{\OOneStartShort}{{\rm September ~2015}} \OOneStartShort$ ' SRC='http://ej.iop.org/images/0264-9381/35/6/065009/cqgaaab76ieqn001.gif'/> and <img ALIGN='MIDDLE' ALT='$ \newcommand{\OOneStop}{{\rm 19~ January ~2016}} \newcommand{\OOneStopShort}{{\rm January~ 2016}} \OOneStopShort$ ' SRC='http://ej.iop.org/images/0264-9381/35/6/065009/cqgaaab76ieqn002.gif'/>, with a total observational time of <img ALIGN='MIDDLE' ALT='$ \newcommand{\OOneLivetime}{{\rm 49~d}} \OOneLivetime$ ' SRC='http://ej.iop.org/images/0264-9381/35/6/065009/cqgaaab76ieqn003.gif'/>. The search targets gravitational wave transients of 10–500 s duration in a frequency band of 24–2048 Hz, with minimal assumptions about the signal waveform, polarization, source direction, or time of occurrence. No significant events were observed. As a result we set 90% confidence upper limits on the rate of long-duration gravitational wave transients for different types of gravitational wave signals. We also show that the search is sensitive to sources in the Galaxy emitting at least ∼10<SUP>−8</SUP> <img ALIGN='MIDDLE' ALT='$ \newcommand{\msuncd}{{\rm M_{\odot} c^2}} \newcommand{\msun}{{\rm M_{\odot}}} {\msuncd}$ ' SRC='http://ej.iop.org/images/0264-9381/35/6/065009/cqgaaab76ieqn004.gif'/> in gravitational waves.</P>
Collision energy dependence of moments of net-kaon multiplicity distributions at RHIC
Adamczyk, L.,Adams, J.R.,Adkins, J.K.,Agakishiev, G.,Aggarwal, M.M.,Ahammed, Z.,Ajitanand, N.N.,Alekseev, I.,Anderson, D.M.,Aoyama, R.,Aparin, A.,Arkhipkin, D.,Aschenauer, E.C.,Ashraf, M.U.,Attri, A. North-Holland Pub. Co 2018 Physics letters. Section B Vol.785 No.-
<P><B>Abstract</B></P> <P>Fluctuations of conserved quantities such as baryon number, charge, and strangeness are sensitive to the correlation length of the hot and dense matter created in relativistic heavy-ion collisions and can be used to search for the QCD critical point. We report the first measurements of the moments of net-kaon multiplicity distributions in Au+Au collisions at <SUB> s NN </SUB> = 7.7 , 11.5, 14.5, 19.6, 27, 39, 62.4, and 200 GeV. The collision centrality and energy dependence of the mean (<I>M</I>), variance ( <SUP> σ 2 </SUP> ), skewness (<I>S</I>), and kurtosis (<I>κ</I>) for net-kaon multiplicity distributions as well as the ratio <SUP> σ 2 </SUP> / M and the products <I>Sσ</I> and κ <SUP> σ 2 </SUP> are presented. Comparisons are made with Poisson and negative binomial baseline calculations as well as with UrQMD, a transport model (UrQMD) that does not include effects from the QCD critical point. Within current uncertainties, the net-kaon cumulant ratios appear to be monotonic as a function of collision energy.</P>
SOME NEW ASYMMETRIC ORTHOGONAL ARRAYS
Aggarwal, M.L.,Budhraja, Veena The Korean Statistical Society 2003 Journal of the Korean Statistical Society Vol.32 No.3
In this paper we make use of the parity check matrices of the codes based on inverting construction $Y_1$ to construct a number of new asymmetric orthogonal arrays with higher strength and higher number of levels using the method of construction of asymmetric orthogonal arrays given by Suen et al. (2001).
Scaling properties at freeze-out in relativistic heavy-ion collisions
Aggarwal, M. M.,Ahammed, Z.,Alakhverdyants, A. V.,Alekseev, I.,Alford, J.,Anderson, B. D.,Anson, C. D.,Arkhipkin, D.,Averichev, G. S.,Balewski, J.,Barnby, L. S.,Beavis, D. R.,Bellwied, R.,Betancourt, American Physical Society 2011 PHYSICAL REVIEW C - Vol.83 No.3
TIGHT ASYMMETRIC ORTHOGONAL ARRAYS OF STRENGTH 2 USING FINITE PROJECTIVE GEOMETRY
Aggarwal M.L.,Deng Lih Yuan,Mazumder Mukta D. The Korean Statistical Society 2006 Journal of the Korean Statistical Society Vol.35 No.1
Wu et al. (1992) constructed some general classes of tight asymmetric orthogonal arrays of strength 2 using the method of grouping. Rains et al. (2002) obtained asymmetric orthogonal arrays of strength 2 using the concept of mixed spread in finite projective geometry. In this paper, we obtain some new tight asymmetric orthogonal arrays of strength 2 using the concept of mixed partition in finite projective geometry.
Orthogonally blocked mixture component–amount designs via projections of F-squares
M. L. AGGARWAL,Poonam Singh,Vandana Sarin,Bushra Husain 한국통계학회 2012 Journal of the Korean Statistical Society Vol.41 No.1
Orthogonal block designs for Scheffé’s quadratic model have been considered previously by Draper et al. (1993), John (1984), Lewis et al. (1994) and Prescott, Draper, Dean, and Lewis (1993). Prescott and Draper (2004) obtained mixture component–amount designs via projections of standard mixture designs, viz., the simplex-lattice, the simplex-centroid and the orthogonally blocked mixture designs based on latin squares. Aggarwal, Singh,Sarin, and Husain (2009) considered the case of components assuming equal volume fractions and obtained mixture designs in orthogonal blocks using F-squares. In this paper,we construct orthogonal blocks of two and three mixture component–amount blends by projecting the class of four component mixture designs presented by Aggarwal et al. (2009).