排序方式： 共有30条查询结果，搜索用时 343 毫秒
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Besson D Green J Namjoshi R Sannes F Skubic P Snyder A Stone R Chen A Goldberg M Horwitz N Jawahery A Lipari P Moneti GC Trahern CG van Hecke H Csorna SE Garren L Mestayer MD Panvini RS Yi X Alam MS Avery P Bebek C Berkelman K Cassel DG Copie T DeSalvo R DeWire JW Ehrlich R Ferguson T Galik R Gilchriese MG Gittelman B Halling M Hartill DL Holzner S Ito M Kandaswamy J Kreinick DL Kubota Y Mistry NB Morrow F Nordberg E Ogg M Peterson D Perticone D Read K Silverman A Stein PC Stone S Kezun X 《Physical review letters》1985,54(5):381-384
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Bowcock T Giles RT Hassard J Kinoshita K Pipkin FM Wilson R Haas P Hempstead M Jensen T Kagan H Kass R Behrends S Gentile T Guida JM Guida JA Morrow F Parkhurst G Poling R Rosenfeld C Thorndike EH Tipton P Besson D Green J Namjoshi R Sannes F Skubic P Stone R Bartoletto D Chen A Goldberg M Horwitz N Jawahery A Lubrano P Moneti GC Trahern CG van Hecke H Csorna SE Garren L Mestayer MD Panvini RS Word GB Yi X Alam MS Bean A Ferguson T Avery P Bebek C Berkelman K Cassel DG Copie T DeSalvo R 《Physical review letters》1985,55(9):923-926
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Artuso M Bebek C Berkelman K Blucher E Byrd J Cassel DG Cheu E Coffman DM Copie T Crawford G DeSalvo R DeWire JW Drell PS Ehrlich R Galik RS Gittelman B Gray SW Halling AM Hartill DL Heltsley BK Kandaswamy J Kowalewski R Kreinick DL Kubota Y Lewis JD Mistry NB Mueller J Namjoshi R Nandi S Nordberg E O'Grady C Peterson D Pisharody M Riley D Sapper M Silverman A Stone S Worden H Worris M Sadoff AJ Avery P Besson D Garren L Yelton J Bowcock T Kinoshita K Pipkin FM Procario M Wilson R Wolinski J 《Physical review letters》1989,62(19):2233-2236
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Bowcock T Kinoshita K Pipkin FM Procario M Wilson R Wolinski J Xiao D Jawahery A Park CH Poling R Fulton R Haas P Hempstead M Jensen T Johnson DR Kagan H Kass R Morrow F Whitmore J Baringer P McIlwain RL Miller DH Ng CR Shibata EI Yao WM Alam MS Chen D Katayama N Kim IJ Li WC Lou XC Sun CR Tanikella V Bortoletto D Goldberg M Horwitz N Lubrano P Mestayer MD Moneti GC Sharma V Shipsey IP Skwarnicki T Csorna SE Letson T Brock IC Ferguson T Artuso M Bebek C Berkelman K Blucher E Byrd J Cassel DG 《Physical review letters》1989,62(11):1240-1242
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Bebek C Berkelman K Blucher E Byrd J Cassel DG Cheu E Coffman DM Copie T Crawford G DeSalvo R DeWire JW Drell P Ehrlich R Galik RS Gittelman B Gray SW Halling AM Hartill DL Heltsley BK Kandaswamy J Kowalewski R Kreinick DL Kubota Y Lewis JD Mistry NB Mueller J Namjoshi R Nandi S Nordberg E O'Grady C Perticone D Peterson D Pisharody M Riley D Sapper M Silverman A Stone S Worden H Worris M Sadoff AJ Avery P Besson D Garren L Yelton J Bowcock T Kinoshita K Pipkin FM Procario M Wilson R Wolinski J 《Physical review letters》1989,62(1):8-11
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Baringer P McIlwain RL Miller DH Shibata EI Behrends S Guida JM Guida JA Morrow F Poling R Thorndike EH Tipton P Alam MS Katayama N Kim IJ Li WC Lou XC Sun CR Tanikella V Bortoletto D Goldberg M Holmes R Horwitz N Jawahery A Lubrano P Moneti GC Sharma V Shipsey IP Thoma P Csorna SE Letson T Mestayer MD Panvini RS Word GB Bean A Bobbink GJ Brock IC Engler A Ferguson T Kraemer RW Rippich C Vogel H Bebek C Berkelman K Blucher E Cassel DG Copie T DeSalvo R DeWire JW Ehrlich R Galik RS Gilchriese MG 《Physical review letters》1987,59(18):1993-1996
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Bortoletto D Chen A Garren L Goldberg M Horwitz N Jawahery A Lubrano P Moneti GC Trahern CG van Hecke H Csorna SE Mestayer MD Panvini RS Word GB Yi X Bean A Ferguson T Avery P Bebek C Berkelman K Blucher E Cassel DG Copie T DeSalvo R DeWire JW Ehrlich R Galik RS Gilchriese MG Gittelman B Gray SW Halling AM Hartill DL Heltsley BK Holzner S Ito M Kandaswamy J Kowalewski R Kreinick DL Kubota Y Mistry NB Mueller J Nordberg E Ogg M Peterson D Perticone D Pisharody M Read K Riley D Silverman A 《Physical review letters》1986,56(8):800-803
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Bowcock T Giles RT Hassard J Kinoshita K Pipkin FM Wilson R Gentile T Haas P Hempstead M Jensen T Kagan H Kass R Behrends S Guida JM Guida JA Morrow F Poling R Rosenfeld C Thorndike EH Tipton P Green J Sannes F Stone R Alam MS Katayama N Kim IJ Sun CR Tanikella V Bortoletto D Chen A Garren L Goldberg M Horwitz N Jawahery A Lubrano P Moneti GC Csorna SE Mestayer MD Panvini RS Word GB Bean A Bobbink GJ Brock I Engler A Ferguson T Kraemer R Rippich C Sutton R Vogel H Bebek C Berkelman K Blucher E 《Physical review letters》1986,56(25):2676-2679
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On the Singularity of Random Bernoulli Matrices— Novel Integer Partitions and Lower Bound Expansions
We prove a lower bound expansion on the probability that a random ±1 matrix is singular, and conjecture that such expansions govern the actual probability of singularity. These expansions are based on naming the most likely, second most likely, and so on, ways that a Bernoulli matrix can be singular; the most likely way is to have a null vector of the form e i ±e j , which corresponds to the integer partition 11, with two parts of size 1. The second most likely way is to have a null vector of the form e i ±e j ±e k ±e ? , which corresponds to the partition 1111. The fifth most likely way corresponds to the partition 21111. We define and characterize the “novel partitions” which show up in this series. As a family, novel partitions suffice to detect singularity, i.e., any singular Bernoulli matrix has a left null vector whose underlying integer partition is novel. And, with respect to this property, the family of novel partitions is minimal. We prove that the only novel partitions with six or fewer parts are 11, 1111, 21111, 111111, 221111, 311111, and 322111. We prove that there are fourteen novel partitions having seven parts. We formulate a conjecture about which partitions are “first place and runners up” in relation to the Erd?s-Littlewood-Offord bound. We prove some bounds on the interaction between left and right null vectors. 相似文献