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Radix sorting with no extra space

by Gianni Franceschini, S. Muthukrishnan, et al. , 2008
"... It is well known that n integers in the range [1, n c] can be sorted in O(n) time in the RAM model using radix sorting. More generally, integers in any range [1, U] can be sorted in O(n √ log log n) time [5]. However, these algorithms use O(n) words of extra memory. Is this necessary? We present a s ..."
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is of theoretical interest. Another interesting question is the case of arbitrary c. Here we present a black-box transformation from any RAM sorting algorithm to a sorting algorithm which uses only O(1) extra space and has the same running time. This settles the complexity of in-place sorting in terms

in Extra Space-Time Dimensions

by Tatsuo Kobayashi, Jisuke Kubo, Myriam Mondragón, George Zoupanos , 1998
"... The evolution of the parameters including those in the soft supersymmetry-breaking (SSB) sector is studied in the minimal supersymmetric standard model (MSSM) with a certain set of Kaluza-Klein towers which has been recently considered by Dienes et al. We use the continuous Wilson renormalizaion gro ..."
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The evolution of the parameters including those in the soft supersymmetry-breaking (SSB) sector is studied in the minimal supersymmetric standard model (MSSM) with a certain set of Kaluza-Klein towers which has been recently considered by Dienes et al. We use the continuous Wilson renormalizaion group technique to derive the matching condition between the effective, renormalizable and original, unrenormalizable theories. We investigate whether the assumption on a large compactification radius in the model is consistent with the gauge coupling unification, the b−τ unification and the radiative breaking of the electroweak gauge symmetry with the universal SSB terms. We calculate the superpartner spectrum under the assumption of the universal SSB parameters to find differences between the model and the MSSM.

and properties of extra space

by Low Energy Physics, S. G. Rubin
"... ar ..."
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Search for Extra Space-Dimensions at the LHC

by B. Laforge , 2002
"... On behalf on the ATLAS and CMS collaborations The introduction of extra space dimensions in the theory could be an elegant way to solve the hierarchy problem. There could even be one energy scale at which all interactions could unify. The limits coming from our knowledge of the gravitation at low di ..."
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On behalf on the ATLAS and CMS collaborations The introduction of extra space dimensions in the theory could be an elegant way to solve the hierarchy problem. There could even be one energy scale at which all interactions could unify. The limits coming from our knowledge of the gravitation at low

Effects of Extra Space-time Dimensions on the Fermi

by Pran Nath A, Masahiro Yamaguchi , 1999
"... Effects of Kaluza-Klein excitations associated with extra dimensions with large radius compactifications on the Fermi constant are explored. It is shown that the current precision determinations of the Fermi constant, of the fine structure constant, and of the W and Z mass put stringent constraints ..."
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on the compactification radius. The analysis excludes one extra space time dimension below ∼ 1.6 TeV, and excludes 2, 3 and 4 extra space dimensions opening simultaneously below ∼ 3.5 TeV, 5.7 TeV and 7.8 TeV at the 90 % CL. Implications of these results for future collider experiments are discussed. The Kaluza

The Effective Kähler Potential And Extra Space-Time Dimensions

by T. E. Clark, S. T. Love , 1999
"... The effects of extra space-time dimensions on the Wilsonian effective Kähler potential and the perturbative one loop effective Kähler potential are determined within the framework of an Abelian gauge theory with N = 2 supersymmetric field content. The relation between the Kähler metric and the effec ..."
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The effects of extra space-time dimensions on the Wilsonian effective Kähler potential and the perturbative one loop effective Kähler potential are determined within the framework of an Abelian gauge theory with N = 2 supersymmetric field content. The relation between the Kähler metric

Planck Mass Problem in the Kaluza-Klein Theory with a Supersymmetric Extra Space

by Shigefumi N Aka, Shinichi Deguchi , 1986
"... The Kaluza·Klein vacuum with a supersymmetric extra space is investigated in relation with the Planck mass problem of the particles embedded in such a spacetime. For this purpose, we introduce two kinds of supersymmetric extra spaces: a fiat superspace of one-dimensional Poincare supersymmetry and a ..."
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The Kaluza·Klein vacuum with a supersymmetric extra space is investigated in relation with the Planck mass problem of the particles embedded in such a spacetime. For this purpose, we introduce two kinds of supersymmetric extra spaces: a fiat superspace of one-dimensional Poincare supersymmetry

Fast stable merging and sorting in constant extra space

by M. A. Langston - The Computer Journal , 1992
"... In an earlier research paper,9 we presented a novel, yet straightforward linear-time algorithm for merging two sorted lists in a fixed amount of additional space. Constant of proportionality estimates and empirical testing reveal that this procedure is reasonably competitive with merge routines free ..."
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In an earlier research paper,9 we presented a novel, yet straightforward linear-time algorithm for merging two sorted lists in a fixed amount of additional space. Constant of proportionality estimates and empirical testing reveal that this procedure is reasonably competitive with merge routines

Gauge symmetry breaking from extra space

by Yoshiharu Kawamura - S 1 /Z2”, Prog. Theor. Phys. 103 (2000) 613, hep-ph/9902423
"... We study a mechanism of symmetry transition upon compactification of 5-dimensional field theory on S 1 /Z2. The transition happens unless all components in a multiplet of a symmetry group have a common Z2 parity on S 1 /Z2. This mechanism is applied to a breakdown of SU(5) gauge symmetry in grand un ..."
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We study a mechanism of symmetry transition upon compactification of 5-dimensional field theory on S 1 /Z2. The transition happens unless all components in a multiplet of a symmetry group have a common Z2 parity on S 1 /Z2. This mechanism is applied to a breakdown of SU(5) gauge symmetry in grand unified theory and phenomenological implications are discussed.

Fat Branes in Infinite-Volume Extra Space 1

by Chad Middleton, George Siopsis , 2002
"... We study branes residing in infinite volume space and of finite extent in the transverse directions. We calculate the graviton propagator in the harmonic gauge both inside and outiside the brane and discuss its dependence on the thickness of the brane. Our treatment includes the full tensor structur ..."
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We study branes residing in infinite volume space and of finite extent in the transverse directions. We calculate the graviton propagator in the harmonic gauge both inside and outiside the brane and discuss its dependence on the thickness of the brane. Our treatment includes the full tensor
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