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Title of Journal: Acta Math SinEnglish Ser

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Abbravation: Acta Mathematica Sinica, English Series

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Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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10.1016/0006-2952(86)90175-9

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1439-7617

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A note on lower bound of centered Emphasis Type="

Authors: Yi Ju Lei Zu Jun Ou Hong Qin Na Zou
Publish Date: 2011/09/30
Volume: 28, Issue: 4, Pages: 793-800
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Abstract

This note provides a theoretical justification of optimal foldover plans in terms of uniformity A new lower bound of the centered L 2discrepancy values of combined designs is obtained which can be used as a benchmark for searching optimal foldover plans Our numerical results show that this lower bound is sharper than existing results when more factors reverse the signs in the initial designSupported by SRFDP Grant No 20090144110002 National Natural Science Foundation of China Grant No 10671080 Key Project of Chinese Ministry of Education Grant No 105119 NCET Grant No 06672 Scientific Research Plan Item of Hunan Provincial Department of Education Grant No 10C1091 Innovation Program and Independent Research Project Funded by CCNU

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Other Papers In This Journal:
  1. Exponential polynomials as solutions of certain nonlinear difference equations
  2. The bipolar quantum drift-diffusion model
  3. Free completely J ( ℓ ) -simple Semigroups
  4. An implicit degree ore-condition for pancyclicity of graphs
  5. A variation of a conjecture due to Erdös and Sós
  6. P-distances, q-distances and a generalized Ekeland’s variational principle in uniform spaces
  7. An oscillating operator related to wave equations in the block spaces
  8. Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space
  9. f -Colorings of some graphs of f -class 1
  10. On the Finite Convergence of Newton-type Methods for P 0 Affine Variational Inequalities
  11. Maximal integral over observable measures
  12. The semiclassical limit in the quantum drift-diffusion model
  13. Sharp estimates of p -adic hardy and Hardy-Littlewood-Pólya operators
  14. A class of normal weighted composition operators on the Fock space of ℂ n
  15. Lipschitz algebras and peripherally-multiplicative maps
  16. Isometric immersions into warped product spaces
  17. Orthogonality and quintic functional equations
  18. Global well-posedness for gKdV-3 in Sobolev spaces of negative index
  19. Self-dual weak Hopf algebras
  20. Spacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domains
  21. Behavioral portfolio selection with loss control
  22. Ergodicity of Quasi-birth and Death Processes (I)
  23. The global attractor of a non-local PDE model with delay for population dynamics in ℝ n
  24. Immersed Hypersurfaces in the Unit Sphere S m +1 with Constant Blaschke Eigenvalues
  25. Liouville type theorems for a system of integral equations on upper half space
  26. Resolvability in circulant graphs
  27. Integrated Groups and Smooth Distribution Groups
  28. Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball
  29. Strong labelings of linear forests
  30. On an entropy of ℤ + k -actions
  31. On universally left-stability of ɛ -isometry
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