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等比型方程sum from i=0 to k(a_iy_(n-i)=δ_n)的特解解法
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作者 李柳辰 《科技信息》 2006年第S1期160-160,共1页
给出求k阶线性齐次等比型递归方程的特解的一种解法及当k=1,2,3时的特解。
关键词 等比型线性递归方程 公比 重根 特解
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“等差乘等比型”数列求和有公式吗?
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作者 胡嘉苇 蒋家卫 《高考》 2019年第22期27-27,共1页
等差数列与等比数列作为特殊数列的典型代表,是高中数列版块的左膀右臂。'差比数列'的求和所涉及的方法称为错位相减法。本文尝试从特殊到一般探索该类型数列求和的一般公式,并揭示其应用。
关键词 等差乘等比型 数列求和 课堂生成
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数列模型在分期付款中的应用
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作者 姚祥尹 《中学数学教学》 2000年第4期14-14,共1页
关键词 数列模 分期付款 中学数学 等差 比较 等比型
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常数列在等比数列求和中的应用与推广
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作者 赵圣涛 《数理化解题研究》 2018年第22期3-4,共2页
数列中的错位相减法是解决等差乘等比型数列求和的常规方法,也是高考的热点,但在应用过程中,学生的出错率却一直居高不下.本文应用"构造常数列"的思想,对等比数列前n项和公式进行了推导,继而将该思想推广到等差乘等比型数列前n项和问... 数列中的错位相减法是解决等差乘等比型数列求和的常规方法,也是高考的热点,但在应用过程中,学生的出错率却一直居高不下.本文应用"构造常数列"的思想,对等比数列前n项和公式进行了推导,继而将该思想推广到等差乘等比型数列前n项和问题的求解中,为该类问题的求解提供了一个新思路. 展开更多
关键词 常数列 等比数列 等差乘等比型 待定系数法
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灵活应用递推模型 增强数学运算技能
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作者 李盛 林美琳 汪耀生 《上海中学数学》 2021年第1期35-37,共3页
笔者以"等比型"数列递推模型的直接应用与先猜后证、变通应用为例,说明灵活应用递推模型可以提高解题效率,有利于增强学生的数学运算能力.
关键词 递推模 数学运算技能 等比型数列
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Shales in the Qiongzhusi and Wufeng–Longmaxi Formations:a rock-physics model and analysis of the effective pore aspect ratio 被引量:4
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作者 杨志强 何涛 邹长春 《Applied Geophysics》 SCIE CSCD 2017年第3期325-336,459,共13页
The shales of the Qiongzhusi Formation and Wufeng-Longmaxi Formations at Sichuan Basin and surrounding areas are presently the most important stratigraphic horizons for shale gas exploration and development in China. ... The shales of the Qiongzhusi Formation and Wufeng-Longmaxi Formations at Sichuan Basin and surrounding areas are presently the most important stratigraphic horizons for shale gas exploration and development in China. However, the regional characteristics of the seismic elastic properties need to be better determined. The ultrasonic velocities of shale samples were measured under dry conditions and the relations between elastic properties and petrology were systemically analyzed. The results suggest that 1) the effective porosity is positively correlated with clay content but negatively correlated with brittle minerals, 2) the dry shale matrix consists of clays, quartz, feldspars, and carbonates, and 3) organic matter and pyrite are in the pore spaces, weakly coupled with the shale matrix. Thus, by assuming that all connected pores are only present in the clay minerals and using the Gassmann substitution method to calculate the elastic effect of organic matter and pyrite in the pores, a relatively simple rock-physics model was constructed by combining the self-consistent approximation (SCA), the differential effective medium (DEM), and Gassmann's equation. In addition, the effective pore aspect ratio was adopted from the sample averages or estimated from the carbonate content. The proposed model was used to predict the P-wave velocities and generally matched the ultrasonic measurements very well. 展开更多
关键词 Qiongzhusi Wufeng-Longmaxi SHALE pore aspect ratio Gassman equation
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Prediction method of reservoir pore types based on pore shape substitution 被引量:1
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作者 Zhang Jia-Jia Chen Kang +3 位作者 Zhang Guang-Zhi Di Gui-Dong Xu Lei-Lei Gu Yi-Peng 《Applied Geophysics》 SCIE CSCD 2021年第1期31-44,128,129,共16页
Carbonate,tight sandstone,and shale reservoirs have many pore types,and the relationship between the porosity and elastic parameters is extremely discrete due to the complex pore shape.This paper presents a method for... Carbonate,tight sandstone,and shale reservoirs have many pore types,and the relationship between the porosity and elastic parameters is extremely discrete due to the complex pore shape.This paper presents a method for predicting reservoir pore types based on pore shape substitution.The pore shape substitution allows for accurately characterizing the changes in the elastic properties of the rock with the changes in pore shape,assuming there are no changes in terms of minerals,porosity,or fl uids.By employing a multiple-porosity variable critical porosity model,the eff ective pore aspect ratio could be inverted from the velocities of the rock.To perform pore shape substitution,we could replace the eff ective pore aspect ratio with another pore aspect ratio or increase/decrease the volume content of diff erent pore shapes.The reservoir pore types could be evaluated by comparing the differences in the reservoir velocities before and after the substitution of the pore shape.The test results pertaining to the theoretical model and the well logging data indicated that the pore shape substitution method could be applied to characterize pore types in terms of separating the eff ects of the pore shapes from the eff ects of the minerals,porosity,or fl uids on the velocities. 展开更多
关键词 pore shape pore shape substitution multiple-porosity variable critical porosity model eff ective pore aspect ratio pore type
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Analysis of strain variation in cross shear zone of plate during snake hot rolling 被引量:1
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作者 张涛 吴运新 +2 位作者 龚海 石文泽 蒋方敏 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第2期296-302,共7页
In order to study the distribution of equivalent and shear strain of aluminum alloy plate during snake hot rolling, several coupled thermo-mechanical finite element models(FEM) are established. Effects of speed ratio ... In order to study the distribution of equivalent and shear strain of aluminum alloy plate during snake hot rolling, several coupled thermo-mechanical finite element models(FEM) are established. Effects of speed ratio and offset distance on strain distribution of the plate are analyzed. The length of cross shear zone is defined to have a better understanding of the deformation characteristic in cross shear zone, which is the essential difference from symmetrical rolling in deformation zone. The results show that the equivalent strain and shear strain of lower part both increase with the increase of speed ratio, while the upper part decreases; the equivalent strain through the whole thickness decreases with ascending offset distance, while the shear strain of lower part increases. The length of cross shear zone quickly increases with ascending speed ratio and slightly decreases with ascending offset distance. The "positive" and "negative" cross shear zones are formed with the increase of speed ratio and offset distance, respectively. The value of the sensitivity coefficient of speed ratio is an order of magnitude bigger than the offset distance. However, the shear strain at center point increases with the ascending speed ratio and offset distance for different mechanism. As speed ratio increases, the asymmetry of the distribution of equivalent is becoming larger and the shear strain is generated in the same direction in cross shear zone. The FEM results agree well with experimental results. 展开更多
关键词 aluminum alloy plate snake hot rolling speed ratio offset distance cross shear zone
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