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妙解“2007”趣题——巧用两个一元二次方程有公根的三个公式
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作者 李玉程 从丽娟 《数理化解题研究(初中版)》 2007年第2期28-29,共2页
一年一度的佳节——春节,就要来临了,为了欢度节日,特意草拟一组数学趣题欢庆新年,并飨读者!具体作法如下:先简介两个一元二次方程有公根的三个公式如下:设两个一元二次方程为a<sub>1</sub>x<sup>2</sup>+b<... 一年一度的佳节——春节,就要来临了,为了欢度节日,特意草拟一组数学趣题欢庆新年,并飨读者!具体作法如下:先简介两个一元二次方程有公根的三个公式如下:设两个一元二次方程为a<sub>1</sub>x<sup>2</sup>+b<sub>1</sub>x+c<sub>1</sub>=0和a<sub>2</sub>x +b<sub>2</sub>x+c<sub>2</sub>=0. 展开更多
关键词 一元二次方程 公根 巧用 公式 判别式 首项系数 正整数 数学 不相等 实根
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一类高次方程的解法 被引量:1
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作者 李庆芹 黄克芬 《昆明冶金高等专科学校学报》 CAS 2000年第4期39-42,共4页
在复数域上证明了多项式有公根的一个充要条件,进而推出了有公根的充要条件,并举例说明了这些结果在解某些高次方程中的应用。
关键词 多项式 公根 高次方程 求解
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拟多项式根的数目 被引量:1
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作者 黄家洲 《四川师范大学学报(自然科学版)》 CAS CSCD 1995年第4期69-74,共6页
本文讨论拟多项式根的数目.结果表明,关于多项式的布丹定理和笛卡儿符号规则,经改进后对拟多项式仍然有效。除此之外还研究了拟多项式组的公根,并得到了拟三项式的判别式。
关键词 拟多项式 判别式 公根
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结式与二元高次方程组的解 被引量:1
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作者 李武保 《延安职业技术学院学报》 1997年第2期28-31,共4页
中学代数讲过二元二次方程组的特殊解法.本文介绍二元高次方程组的一般解法.为此,先讨论两个一元多项式有公根的条件.一、结式的概念令f(x)=a<sub>0</sub>x<sup>n</sup>+a<sub>1</sub>x<sup&g... 中学代数讲过二元二次方程组的特殊解法.本文介绍二元高次方程组的一般解法.为此,先讨论两个一元多项式有公根的条件.一、结式的概念令f(x)=a<sub>0</sub>x<sup>n</sup>+a<sub>1</sub>x<sup>n-1</sup>+……+a<sub>n</sub>(n】0)g(x)=b<sub>0</sub>x<sup>m</sup>+b<sub>1</sub>x<sup>m-1</sup>+……+b<sub>m</sub>(m】0)是复数域c上两个一元多项式.在这里,我们并不假定a<sub>0</sub>≠0,b<sub>0</sub>≠0。 展开更多
关键词 二元高次方程组 结式 一元多项式 齐次线性方程组 公根 二元二次方程组 未知量 复数域 特殊解法 中学代数
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毛泽东轶事四则
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作者 高士振 《人民论坛》 1996年第12期22-23,共2页
今年9月9日、12月26日,分别是伟大领袖毛主席逝世20周年、诞辰103周年的纪念日。为了表达我们对他老人家的无限怀念之情。
关键词 毛泽东 毛主席 人民群众 李苦禅 共产党 农村妇女 红军干部 保卫部门 公根 马克思列宁主义者
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结式在方程中的应用
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作者 邱克友 《渝西学院学报(自然科学版)》 2004年第1期32-33,35,共3页
就结式在判定方程是否有重根 ,判断两个多项式是否有公根 ,在参数方程中消参这几个方面的应用 。
关键词 结式 重根 公根 多项式 判定方程 高等数学 中学 数学教学
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代数消去法
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作者 张枫森 CapterXIVELimination 《苏州教育学院学报》 1996年第1期90-96,共7页
消去法的概念可以这样来表述:如果有包含n个未知数的n+1个不互相独立的方程,那么,在一般情况下,按照这n+1个方程中的n个方程来确定n个未知数是充分的,将这样确定的n个未知数代入剩下的第n+1个方程就可得到一个不再含有这n个未知数而仅... 消去法的概念可以这样来表述:如果有包含n个未知数的n+1个不互相独立的方程,那么,在一般情况下,按照这n+1个方程中的n个方程来确定n个未知数是充分的,将这样确定的n个未知数代入剩下的第n+1个方程就可得到一个不再含有这n个未知数而仅仅包含给出的这n+1个方程的系数关系式。这种方法叫做消去法。 本文中,我们将介绍代数消去法的一些方法和技巧。下面,先来研究行列式在消去法中的应用。 展开更多
关键词 消去法 未知数 齐次线性方程组 线性齐次方程组 代数余子式 方法和技巧 公根 系数关系 行列式的阶 行列式的性质
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保健凉茶店赚钱
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作者 龙平 《农村新技术》 1996年第9期45-45,共1页
关键词 凉茶 保健 清热解毒 娱乐场所 原材料成本 生津止渴 十字街 公根 凉粉 店址
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Preliminary Findings on Yield Response of Potatoes (Solanum tuberosum) to Umostart Super Zn (11.46,0 + 2 Zn + Humates)
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作者 C. Lung' aho M. Nyongesa M. Wakahiu 《Journal of Agricultural Science and Technology(B)》 2011年第5期728-734,共7页
Field trials to determine the yield response of potatoes to Umostart Super Zn (USZ) fertilizer (11.46.0 + 2 Zn + Humates) were carried out in 2004 using the cultivar Tigoni. During the long rains season, the tre... Field trials to determine the yield response of potatoes to Umostart Super Zn (USZ) fertilizer (11.46.0 + 2 Zn + Humates) were carried out in 2004 using the cultivar Tigoni. During the long rains season, the treatments included USZ at 15 kg ha^-1 at planting; 30 kg ha^-1 split into 15 kg ha^-1 at planting and 15 kg ha^-1 during final earthing-up; 30 kg ha^-1 at planting; and 45 kg ha^-1 at planting. Treatments during the short rains included USZ at 30 kg ha^-1 split into 15 kg ha^-1 at planting and 15 kg ha^-1 during final earthing-up; 30 kg ha^-1 at planting; 40 kg ha^-1 at planting; 50 kg ha^-1 at planting; 50 kg ha^-1 split into 25 kg ha^-1 at planting and 25 kg ha^-1 during final earthing-up; and 60 kg ha^-1 at planting. USZ was contrasted with Diammonium phosphate (DAP) fertilizer (18:46:0) at 300 kg ha^-1 and 500 kg ha^-1 applied at planting and a control in which no fertilizer was applied. The DAP 300 kg ha^-1 treatment was however, not included during the long rains season. The highest tuber yields among the USZ treatments were obtained in plots treated with 45 kg ha^-1 (27.11 t ha^-1) during the long rains and 60 kg ha^-1 (55.17 t ha^-1) during the short rains season. Application of USZ resulted in a yield increase of at least 3.90 and 19.06 t ha^-1 during the long and short rains seasons respectively. 展开更多
关键词 Fertilizers POTATO Solanum tuberosum tuber yield Umostart Super Zn
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Unit Root Analysis of Traffic Time Series in Toll Highways
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作者 Antonio Sanchez Solino Antonio L. Lara Galera 《Journal of Civil Engineering and Architecture》 2012年第12期1641-1647,共7页
Concession contracts in highways often include some kind of clauses (for example, a minimum traffic guarantee) that allow for better management of the business risks. The value of these clauses may be important and ... Concession contracts in highways often include some kind of clauses (for example, a minimum traffic guarantee) that allow for better management of the business risks. The value of these clauses may be important and should be added to the total value of the concession. However, in these cases, traditional valuation techniques, like the NPV (net present value) of the project, are insufficient. An alternative methodology for the valuation of highway concession is one based on the real options approach. This methodology is generally built on the assumption of the evolution of traffic volume as a GBM (geometric Brownian motion), which is the hypothesis analyzed in this paper. First, a description of the methodology used for the analysis of the existence of unit roots (i.e., the hypothesis of non-stationarity) is provided. The Dickey-Fuller approach has been used, which is the most common test for this kind of analysis. Then this methodology is applied to perform a statistical analysis of traffic series in Spanish toll highways. For this purpose, data on the AADT (annual average daily traffic) on a set of highways have been used. The period of analysis is around thirty years in most cases. The main outcome of the research is that the hypothesis that traffic volume follows a GBM process in Spanish toll highways cannot be rejected. This result is robust, and therefore it can be used as a starting point for the application of the real options theory to assess toll highway concessions. 展开更多
关键词 Real options unit root analysis INVESTMENT highway concession traffic.
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ON A PROBLEM RELATED TO GOLOMB'S CONJECTURES 被引量:3
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作者 ZHANG Wenpeng(Research Center for Basic Science, Xi’an Jiaotong University, Xi’an 710049, China) 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第1期13-18,共6页
The main purpose of this paper is to study a problem related to Golomb's conjectures,and give an interesting asymptotic formula.
关键词 Primitive roots golomb's conjecture asymptotic formula.
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Distribution of Primitive λ-Roots of Composite Moduli II
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作者 Zhiyong ZHENG Todd COCHRANE 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第5期549-552,共4页
We improve estimates for the distribution of primitive λ-roots of a composite modulus q yielding an asymptotic formula for the number of primitive A-roots in any interval I of length |I| 〉〉 q^1/2+ε Similar resu... We improve estimates for the distribution of primitive λ-roots of a composite modulus q yielding an asymptotic formula for the number of primitive A-roots in any interval I of length |I| 〉〉 q^1/2+ε Similar results are obtained for the distribution of ordered pairs (x, x^-1) with x a primitive λ-root, and for the number of primitive A-roots satisfying inequalities such as |x - x^-1|≤ B. 展开更多
关键词 λ-Roots Primitive roots
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Sino-US Relations: A Hegemonic Stability Perspective
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作者 Antonio C. Hsiang 《Fudan Journal of the Humanities and Social Sciences》 2012年第2期60-81,共22页
The financial crisis, beginning from 2008, has brought into sharp relief just how dependent the US has become on foreign creditors, chiefly among them China. It has also sharpened the perception of the relative declin... The financial crisis, beginning from 2008, has brought into sharp relief just how dependent the US has become on foreign creditors, chiefly among them China. It has also sharpened the perception of the relative decline of a US- centric West and the relative rise of a China-centric Aria. The changing relationship between the US and China does demand a new tone. The article will be based on the Hegemonic Stability Theory. According to Charles Kindleberger, one of the scholars most closely associated with the theory, the United States should have acted as a lender of last resort in the early 1930s, continuing to keep its financial markets open to investment and its market open to foreign goods, rather than heading down the path of protectionism. With the inability to complete the Doha round of trade negotiations, the rising influence of the Group of 20, and the centrality of China in the climate change negotiations in Copenhagen, it has been proven that " the provision of basic global public goods now demands co-operation between the established powers and emerging countries. " However, today's China may be in a position comparable to that of the US in the 1930s and cannot hope to stabilize the world on its own' Thus, the article will also investigate the competition between China and the US for sharing fairer burdens to provide public goods. Based on Hegemonic Stability Theory, the world politics will not be stable in the near future because, on the one hand, the US has not enough capability to lead and to enforce the rules of the system, on the other hand, China has no will to establish a hegemonic regime. 展开更多
关键词 Sino-US Relations hegemonic stability theory financial crisis public goods sof power.
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Cr Stable Isotope Fractionation in Arbuscular Mycorrhizal Dandelion and Cr Uptake by Extraradical Mycelium 被引量:2
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作者 REN Bai-Hui WU Song-Lin +2 位作者 CHEN Bao-Dong WU Zhao-Xiang ZHANG Xin 《Pedosphere》 SCIE CAS CSCD 2015年第2期186-191,共6页
As common soil fungi that form symbioses with most terrestrial plants,arbuscular mycorrhizal(AM) fungi play an important role in plant adaptation to chromium(Cr) contamination.However,little information is available o... As common soil fungi that form symbioses with most terrestrial plants,arbuscular mycorrhizal(AM) fungi play an important role in plant adaptation to chromium(Cr) contamination.However,little information is available on the underlying mechanisms of AM symbiosis on plant Cr resistance.In this study,dandelion(Taraxacum platypecidum Diels.) was grown with and without inoculation of the AM fungus Rhizophagus irregularis and Cr uptake by extraradical mycelium(ERM) was investigated by a compartmented cultivation system using a Cr stable isotope tracer.The results indicated that AM symbiosis increased plant dry weights and P concentrations but decreased shoot Cr concentrations.Using the Cr stable isotope tracer technology,the work provided possible evidences of Cr uptake and transport by ERM,and confirmed the enhancement of root Cr stabilization by AM symbiosis.This study also indicated an enrichment of lighter Cr isotopes in shoots during Cr translocation from roots to shoots in mycorrhizal plants. 展开更多
关键词 arbuscular mycorrhizal fungi Cr contamination Cr translocation HYPHAE mycorrhizal plant
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Some Useful Wild Macrofungi from Liuxihe National Forest Park,Guangzhou,China 被引量:3
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作者 CHENYinglong KANGLihua DELLBernie 《Chinese Forestry Science and Technology》 2004年第4期35-42,共8页
Forty species of Basidiomycota from 21 genera in 15 families, collected from Liuxihe National Forest Park, Guangzhou, China, have values for use by local people. More than half of the species collected are edible, and... Forty species of Basidiomycota from 21 genera in 15 families, collected from Liuxihe National Forest Park, Guangzhou, China, have values for use by local people. More than half of the species collected are edible, and some (Lactarius deliciosus, Boletus spp.) are gathered for commercial consumption in South China. Ten species have medicinal properties, and include Dictyophora, Ganoderma, Pisolithus and Scleroderma. Over 60% species (26 taxa) are ectomycorrhizal involving 12 edible fungi. The most abundant families were the Amanitaceae, Boletaceae and Sclerodermataceae, which form important ectomycorrhizal associations with coniferous and mixed broad-leafed trees in the Park. Prospective uses of these macrofungi are discussed. 展开更多
关键词 wild macrofungi edible fungus medicinal fungus ectomycorrhizal fungus BOLETUS SCLERODERMA China
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Enhancement of Superoxide Dismutase and Catalase Activities and Salt Tolerance of Euhalophyte Suaeda salsa L. by Mycorrhizal Fungus Glomus mosseae 被引量:3
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作者 LI Tao LIU Run-Jin +1 位作者 HE Xin-Hua WANG Bao-Shan 《Pedosphere》 SCIE CAS CSCD 2012年第2期217-224,共8页
Arbuscular mycorrhizal (AM)-mediated plant physiological activities could contribute to plant salt tolerance. However, the biochemical mechanism by which AM fungi enhance salt tolerance of halophytie plants is uncle... Arbuscular mycorrhizal (AM)-mediated plant physiological activities could contribute to plant salt tolerance. However, the biochemical mechanism by which AM fungi enhance salt tolerance of halophytie plants is unclear. A pot experiment was conducted to determine whether salt tolerance of the C3 halophyte Suaeda salsa was enhanced by the AM fungus Glomus rnosseae. When 60-day-old S. salsa seedlings were subjected to 400 mmol L-1 NaC1 stress for 35 days, plant height, number of leaves and branches, shoot and root biomass, and root length of G. mosseae-colonized seedlings were significantly greater than those of the nonmycorrizal seedlings. Leaf superoxide dismutase (SOD) activity at all sampling times (weekly for 35 days after salt stress was initiated) and leaf catalase (CAT) activity at 2 and 3 weeks after salt stress was initiated were also significantly enhanced in G. mosseae-colonized S. salsa seedlings, while the content of leaf malondialdehyde (MDA), a product of membrane lipid peroxidation, was significantly reduced, indicating an alleviation of oxidative damage. The corresponding leaf isoenzymes of SOD (Fe-SOD, Cu/Zn-SOD1, and Cu/Zn-SOD2) and CAT (CAT1 and CAT2) were also significantly increased in the mycorrhizal seedlings after 14 days of 400 mmol L-1 NaC1 stress. Our results suggested that G. rnosseae increased salt tolerance by increasing SOD and CAT activities and forming SOD and CAT isoforms in S. salsa seedlings. 展开更多
关键词 antioxidant enzymes ISOENZYME MALONDIALDEHYDE NaC1 tolerance oxidative stress
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農民喜获丰收,積極售粮还貸
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作者 李朝兴 《中国金融》 1955年第21期25-25,共1页
安徽太和县今年秋季作物丰收,加之‘三定’改策貫徹到戶,秋季公粮普遍减少,各地農民无不欢欣鼓舞地以高度的爱国主义精神响应政府的各項号召。關集區陶桥鄉刘窩村,九十二戶中欠貸款的贫中农四十八戶,欠貸款四一二元。經过一次会議動員,... 安徽太和县今年秋季作物丰收,加之‘三定’改策貫徹到戶,秋季公粮普遍减少,各地農民无不欢欣鼓舞地以高度的爱国主义精神响应政府的各項号召。關集區陶桥鄉刘窩村,九十二戶中欠貸款的贫中农四十八戶,欠貸款四一二元。經过一次会議動員,十月五日一天就集体售粮六、一一六斤。 展开更多
关键词 秋季 政府贷款 丰收 三七 作物 集体 安徽 响应 爱国主义精神 公根
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山西广大农村开遍了统计评比的花朵
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作者 山西省统计局通讯组 《统计工作》 1958年第18期18-20,共3页
队队建立跃进台,社社高竿插红旗,乡乡图表人前挂,光荣榜上逞英豪;生动活泼花样好,推动生产翻浪潮,领导欢迎又支持,群众反映办法妙.
关键词 评比 大农村 山西 花朵 统计工作 形象化 复播 统计员 工具改革 公根
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