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In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解,这里使用常数变易法,在先求得二阶常系数线性齐次微分方程一个特解的情况下,将二阶常系数线性非齐次微分方程转化为可降阶的微分方程,从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式,并且将通解公式进行了推广,实例证明该方法是可行的。

The second order mathematical models of inverted pendulum system are expatiated in this paper based on the theory of LQOC(Linear Quadratic Optimal Control), LQY(Linear-Quadratic Yield) controller and LQR(Linear-Quadratic Regulator) are designed to make the inverted pendulum system closed loop stable.

针对倒立摆的稳定控制问题,阐述了二阶倒立摆的数学模型,采用线性二次最优控制理论,设计了倒立摆控制系统的线性二次型调节器和线性二次型输出器,使倒立摆系统闭环稳定。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法,对系数矩阵为对称正定矩阵情形,证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

In this thesis, 1, 5-diaryl-3-pyrazilidinones, 1, 5-diaryl-3-hydroxypyrazoles and 3-(2, 3, 4, 6-tetraacetyl-β-D-glucopyranos-1-yl)-1, 5-diaryl-1H-pyrazoles are designed and synthesized.1, 5-diaryl-3-pyrzolidinones were obtained by condensation of 3-arylpropenates and phenylhydrazine or fluorophenylhydrazine under the catalysis of sodium methylate and the yields were about 55-80%.

在本文中,设计合成了1,5-二芳基-3-吡唑烷酮化合物、1,5-二芳基-3-吡唑烷酮化合物和3-(2,3,4,6-四乙酰基-β-D-吡喃葡萄糖-1-基)-1,5-二芳基吡唑化合物。以3-芳基-2-丙烯酸酯为原料,与芳基肼在醇钠的催化作用下,反应可以生成1,5-二芳基-3-吡唑烷酮,产率在55%以上。

Complex V shows a one-dimensional 'Z' chain which are linked into two-dimensional lamellar structures by weak π-π stackings. Complex VI shows one-dimensional chiral helical chains which are linked into molecular zipper. Both complexes show strong blue photoluminescent under R.T. Complexes VII and VIII are monometallic complexes of Fe.

由对苯二甲酸形成的化合物Ⅴ是由一维的'Z'型链组成的,链链之间通过π-π弱相互作用形成了二维结构;而由间苯二甲酸形成的化合物Ⅵ是由一维的手性螺旋链组成的,链链之间通过π-π相互作用形成拉链状的二维结构,Ⅴ和Ⅵ在室温下具有强荧光。

Methods Estradiol-randomly methylated β-cyclodextrin (E2-RAMEB) solution, and 70% ethanol solution of estradiol and estradiol nasal spray in 3 different doses 0.16、0.48、1.60 mgkg^(-1 were nasally administrated to rats, respectively. Non-compartment statistical moment method was used in pharmacokinetics study.

对大鼠鼻腔给予雌二醇-随机甲基化β-环糊精包合物的生理盐水溶液、雌二醇乙醇溶液和3种剂量的雌二醇鼻腔喷雾剂,用非隔室模型统计矩法进行了药物动力学研究,并与静脉注射雌二醇相比较计算绝对生物利用度。

The 1,5-Bis(4-aminophenylazo) anthraquinone, 1,5-bis(4-hydroxyphenyl azo) anthraquinone and 1,5-bis(3-methyl-4-hydroxyphe nylazo) anthraquinone were synthesized by diazotizing 1,5-biaminoanthraquinone with nitrosyl sulfuric acid and coupling with aniline, phenol and o-cresol.

合成以1,5-二氨基蒽醌为原料,经亚硝酰硫酸重氮化,分别和苯胺、苯酚及邻甲酚偶合,得到双(4-氨基苯)-1,5-二偶氮蒽醌,双(4-羟基苯)-1,5-二偶氮蒽醌和双(3-甲基-4-羟基苯)-1,5-二偶氮蒽醌,反应产率达47%~62%。

Each of them exhibited sensitive reduction responses of nitryls. It was found that the reduction peak of nitryl of the position 4-nitrate group of 2,4-dinitrophenol showed great difference from that of the position 5-nitrate group of 2,5-dinitrophenol. The difference between the two reduction potentials was as large as 180 mV.

在pH=5.0、0.1mol/LNaAc-HAc缓冲体系中,2,4-二硝基苯酚和2,5-二硝基苯酚在碳纳米管修饰电极上出现灵敏的硝基还原峰,其中2,4-二硝基苯酚分子中四位硝基的还原峰和2,5-二硝基苯酚分子中五位硝基的还原峰显示出明显差异,二者峰电位差达180mV。

The results showed that the grain yield of winter wheat with two-irrigation was higher than that with one-irrigation with the same nitrogen application rate and method. Compared to one-irrigation,the grain number per spike in two-irrigation was higher,the 1000-grain weight was lower, the water wastage was higher, but the WUE was lower. The yield was not affected significantly by nitrogen rates and the methods. Within the nitrogen rate of 157.5-295.5kg/hm2, the lower NUPE and Nitrogen Productivity declined with nitrogen rate increasing. NHI was not lower than the others at the lowest nitrogen rate of 157.5kg/hm2. The accumulation of NO3--N in soil was significantly and positively correlated with the nitrogen application rate. NO3--N in one-irrigation was distributed mainly in the top layer (0-80cm), but it was inverse in two-irrigation.

结果表明,施氮量和施氮方式相同时春浇二水冬小麦的产量高于春浇一水,二水穗粒数较一水高,千粒重则低于一水,一水耗水量较少,水分利用效率明显高于二水;同一水分下不同施肥量及施肥方式对产量的影响差异不显著,同一施肥方式下在157.5-295.5kg/hm2范围内,施肥量越大,氮素生理效率和氮肥生产力越低,施氮157.5kg/hm2时,氮收获指数均处在最高或较高水平;土壤硝态氮残留量与施氮量呈显著正相关,成熟期一水条件下土壤中硝态氮主要集中在上层(0~80cm),二水条件下则主要分布在中下层。

Based on the important results obtained from the present research on second degree price discrimination, this dissertation makes a systemic and more practical mathematics study on the side of the manufacturer angels, including further and more deeply research on monopoly manufacturer how to actualize second price discrimination under nonlinear demand function, Nash equilibrium of second degree price discrimination under the condition of competition with different demand functions, monopoly manufacturer how to actualize second

结果表明,其纳什均衡结果存在依赖于两厂商产品的市场占有率,并且两厂商需求区间的分段数越多,其纳什均衡存在的必要条件要求他们的实力越接近;第四章针对实际情况将确定性需求条件下厂商处于完全垄断状态下的二度价格歧视理论研究推广到不确定性需求条件下的二度价格歧视理论研究,更进一步地研究了垄断厂商在线性随机需求条件下的二度价格歧视模型,用计算机模拟了此模型的可行性,分析模拟结果得出了一系列重要结论,最后给出了更具一般性的不确定需求条件下的二度价格歧视模型,并严格证明了此模型的可行性;第五章对全文进行总结。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。