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The Least Absolute Value Linear Fitting of D-u Line
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Xiu-Fang CHEN1, Gao-Bo CHEN2, Zi-Zheng GONG1
Chinese Journal of High Pressure Physics | 2005, 19(3) : 264 - 268
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Chinese Journal of High Pressure Physics | 2005, 19(3): 264-268
• Research Note •
The Least Absolute Value Linear Fitting of D-u Line
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Xiu-Fang CHEN1, Gao-Bo CHEN2, Zi-Zheng GONG1
Affiliations
  • 1.Institute of Physics, Southwest Jiaotong University, Chengdu 610031, China
  • 2.Department of Math and Physics, Wuhan Polytechnic University, Wuhan 430023, China
Published: 2005-09-05
Outline
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The Linear relationship between shock wave velocity D and particle velocity u is very important to obtain high pressure equation of state and dynamic properties of materials under shock loading. In this paper, the least absolute value method is adopted to fit the D-u line of several kinds of materials, and comparing with the generally accepted least square method. Results show that for the experimental data which scatter small (e.g., non-porous samples), the two methods obtain almost the same results; but for the experimental data which scatter large (e.g., porous samples), the two methods obtain different results. Anyway, the least absolute value method has small average absolute error than the least square method. The reason of the different result between the two methods was addressed.

D-u lline  /  fitting  /  the least absolute value  /  the least square method
陈修芳, 陈高波, 龚自正. D-u关系的最小绝对值线性拟合法. 高压物理学报, 2005 , 19 (3) : 264 -268 .
Xiu-Fang CHEN, Gao-Bo CHEN, Zi-Zheng GONG. The Least Absolute Value Linear Fitting of D-u Line[J]. Chinese Journal of High Pressure Physics, 2005 , 19 (3) : 264 -268 .
Year 2005 volume 19 Issue 3
28
4
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Article Info
  • Receive Date:2004-07-24
  • Online Date:2026-10-31
  • Published:2005-09-05
Article Data
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History
  • Received:2004-07-24
  • Revised:2004-11-01
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Affiliations
    1.Institute of Physics, Southwest Jiaotong University, Chengdu 610031, China
    2.Department of Math and Physics, Wuhan Polytechnic University, Wuhan 430023, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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