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A SIMPLE PROOF OF THE INEQUALITY FFD (L)≤11/9 OPT(L)+1, ■L FOR THE FFD BIN-PACKING ALGORITHM

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Acta Mathematicae Applicatae Sinica 1991年第4期7卷 321-331页

作者：越民义 Institute of Applied Mathematics Academia Sinica Beijing Forschungsinstitut fur Diskrete Mathematik Bonnhe first fit decreasing (FFD) heuristic algorithm is one of the most famous and moststudied methods for an approximative solution of the bin-packing problem. For a list L letOPT(L) denote the minimal number of bins into which L can be packed and let FFD(L)denote the number of bins used by FFD. Johnson showed that for every list L FFD(L)≤11/9OPT(L)+4. His proof required more than 100 pages. Later Baker gave a much shorterand simpler proof for FFD(L)≤11/9OPT(L)+3. His proof required 22 pages. In this paperwe give a proof for FFD(L)≤11/9 OPT(L)+1. The proof is much simpler than the previousones.

The first fit decreasing (FFD) heuristic algorithm is one of the most famous and moststudied methods for an approximative solution of the bin-packing problem. For a list L, letOPT(L) denote the minimal number of bins into which L can be packed, and let FFD(L)denote the number of bins used by FFD. Johnson showed that for every list L, FFD(L)≤11/9OPT(L)+4. His proof required more than 100 pages. Later, Baker gave a much shorterand simpler proof for FFD(L)≤11/9OPT(L)+3. His proof required 22 pages. In this paper,we give a proof for FFD(L)≤11/9 OPT(L)+1. The proof is much simpler than the previousones.

关键词： A SIMPLE PROOF OF THE INEQUALITY FFD L FOR THE FFD BIN-PACKING ALGORITHM BIN OPT

RESIDUAL MINIMAL SUSY IN ENGLERT'S SOLUTION OF d-11 SUGRA

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Chinese Science Bulletin 1986年第1期31卷 21-25页

作者：高洪波 The Yangtze Business Enterprise Co. Chengdu Branchleven-dimensional supergravity (SUGRA)has (maximal) N=8 SUSY. During last few years the study of d=11 SUGRA has made much headway and given rise much information. The Englert's solution has provided a mechanism of spontaneously compactifying d=11 SUGRA within this framework 11-dimensional

Eleven-dimensional supergravity (SUGRA)has (maximal) N=8 SUSY. During last few years, the study of d=11 SUGRA has made much headway, and given rise much information. The Englert’s solution has provided a mechanism of... 详细信息

关键词： spontaneously Eleven invariant maximal parallelism algebra manifold dimensionality manifest affine

GC-11钢裂纹扩展速率(da/dN)试验

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材料工程 1977年第3期 38-52+37页

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GC-11钢的焊接

材料工程 1977年第2期 14-20页

前言GC-11钢是一种低碳低合金高强度贝氏体型钢,可代替航空工厂常用的30CrMnSiA钢。GC-11钢由于碳的含量低,焊接时不易产生裂纹,一般可以不预热进行焊接;冷冲压成型良好;热处理工艺简单,经正火及回火处理后能得到与30CrMnSiA 钢相当的... 详细信息

前言GC-11钢是一种低碳低合金高强度贝氏体型钢,可代替航空工厂常用的30CrMnSiA钢。GC-11钢由于碳的含量低,焊接时不易产生裂纹,一般可以不预热进行焊接;冷冲压成型良好;热处理工艺简单,经正火及回火处理后能得到与30CrMnSiA 钢相当的机械性能。这种钢的焊接方法与30CrMnSiA 钢一样,可采用电弧焊、CO;焊（组丝 CO;气体保护电弧焊）、氢原子焊、氩弧焊等焊接工艺。在焊接

关键词：电弧焊焊条焊接方法热处理制度弧焊熔焊焊丝焊棒焊接材料冲击韧性冲击韧度接头强度不预热试板补焊

上海第11牧场2004年第2季度DHI报告分析

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乳业科学与技术 2004年第4期27卷 176-177页

作者：陈昌质上海第11牧场

DHI是一套完整的牛奶记录体系.它是奶牛育种工作的基础,是评估公牛遗传素质最重要的数据来源,是提高奶牛群管理水平和生奶质量水平的有效工具,并为乳业科学研究提供准确的数据.现结合本场2004年4、5、6三个月的DHI报告,针对一些主要指... 详细信息

DHI是一套完整的牛奶记录体系.它是奶牛育种工作的基础,是评估公牛遗传素质最重要的数据来源,是提高奶牛群管理水平和生奶质量水平的有效工具,并为乳业科学研究提供准确的数据.现结合本场2004年4、5、6三个月的DHI报告,针对一些主要指标进行简单分析如下.

关键词： DHI 奶牛牧场群管育种工作公牛量水乳业主要指标上海

Roundtable Meeting on ICD-11 Mental and Behavioural Disorders in China

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上海精神医学 2017年第6期29卷 327-327页

The Meeting on ICD -11 Mental and Behavioural Disorders in China, adopts the outcome document entitled “The mental health working plan for the development and promotion of ICD-11 Mental and Behavioural Disorders diag... 详细信息

关键词： The Meeting on ICD Mental and Behavioural

为托“神舟”遨太空——航天11所研制载人航天用火箭发动机纪实

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国防科技工业 2002年第8期 50-52页

作者：吴忠民杨军航天六院11所

Extreme CPA Laser Pulses for Igniting Nuclear Fusion of Hydrogen with Boron-11 by Non-thermal Pressures for Avoiding Ultrahigh Temperatures

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Journal of Energy and Power Engineering 2020年第5期14卷 156-177页

作者： Heinrich Hora Department of Theoretical Physics University of New South WalesSydney 2052Australia HB11 Energy Holding Pty/Ltd Freshwater 2096Australia

Ten million times more compact energy than from burning carbon can be obtained from nuclear fusion reactions corresponding to equilibrium temperature reactions in the range above 100 million *** the energy gain in stars,one has to gain nuclear energy from slamming very light nuclei where however the extremely high temperatures above 100 million degrees are needed for the sufficient pressures at thermal equilibrium ignition.A radically new option works with non-thermal pressures of picosecond laser pulses at ultrahigh optical powers by nonlinear forces of *** nuclear fusion of hydrogen with the isotope 11 of boron produces primarily harmless helium and has no problems with dangerous radioactive waste and excludes any catastrophic melt-down as fission reactors,it has the potential to be of low costs and can supply the Earth for more than 10,000 years with electricity.

关键词： Laser boron fusion non-thermal ignition plasma block acceleration CPA pulses

中华人民共和国国家标准（6B／T21709．11—2009）针灸技术操作规范第11部分：电针

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中国针灸 2010年第5期30卷 416-419页

1范围GB／T21709本部分规定了电针的术语和定义、操作步骤与要求、注意事项及禁忌。本部分适用于电针技术操作。

关键词：技术操作规范中华人民共和国电针国家标准针灸