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 homogeneous systems 齐次系统(9)齐次方程组(1)
 齐次系统
 The nonlinear H ∞ control problem of homogeneous systems via output feedback is considered. 研究了齐次系统H∞ 控制的输出反馈问题 . 短句来源 Using homogeneous properties of nonlinear homogeneous systems, a kind of continuous state feedback controller has been developed to asymptotically stabilize the closed loop system and make it satisfy negative homogeneity. 利用非线性齐次系统性质,设计出一种连续状态反馈控制器使得闭环系统渐近稳定并且具有负的齐次度。 Then, a similar result of homogeneous systems with higher degree perturbed terms are also obtained. 然后考虑了具有高阶扰动项的齐次系统 ,对此系统也得到了与无扰动项时的相似结论 . 短句来源 First, using homogeneous properties of nonlinear homogeneous systems, a state feedback controller is designed to guarantee that the closed loop system is asymptotically stable and satisfies negative homogeneity. 首先,利用非线性齐次系统性质,设计出一种状态反馈控制器,使得闭环系统渐近稳定并且具有负的齐次度; 短句来源 Based on the results via state feedback and some properties related to detectability, the problem of H ∞ control of homogeneous systems via output feedback is discussed. 随后讨论了齐次系统H∞ 控制的输出反馈问题 . 短句来源 更多
 齐次方程组
 Using Morrey and Campanato's space method, we obtained local C1,μ-regularity for: C1,1 -regularity for corresponding homogeneous systems, generalized the results in [1] to λ ≥ n + 2,and obtained the formula of μ (λ). 应用Morrey空间以及Campanato空间法，得到了线性方程组N），的弱解的局部 C1，μ－正则性以及对应的齐次方程组弱解的局部C1，1－正则性，从而将文献［1］中相应结果推广到λ≥n＋2的情形，并且得出了μ（λ）的函数关系式． 短句来源
 “homogeneous systems”译为未确定词的双语例句
 Nonlinear H_∞ Control for Singular Homogeneous Systems 奇异齐次非线性系统的H_∞控制 短句来源 Nonlinear H_∞ Control of Homogeneous Systems via Output Feedback 齐次非线性系统H_∞控制的输出反馈(英文) 短句来源 Laboratory study for the two homogeneous systems of Hg (Ⅱ)/H 2S O 4 and Pt(Ⅱ) coordinative complex / H 2SO 4 shows that the CH 4 conversion >90% a t selectivity >80% and an over 70% one-pass yield of an ester of methanol is re ached. Hg(II) /H2 SO4 和Pt(Ⅱ )配位络合物/H2 SO4 这两个均相催化体系的实验室研究结果表明 ,CH4 转化率超过 90 % ,生成CH3 OH的选择性超过80 % ,硫酸甲酯的单程产率达到 70 %以上。 短句来源 Moreover,the regioselectivity of polymers produced by heterogeneous systems was also improved,the 2,1\|insertion and 1,3\|insertion decreased to 3 7‰ and 0 5‰ from the values of 4 4‰ and 1 9‰,respectively for those produced by homogeneous systems. 同时区域选择性也有所改进 ,2 ,1 插入、1 ,3 插入分别从均相体系的 4 4‰和 1 9‰降到负载体系的 3 7‰和 0 5‰ . 短句来源 H_2SO_4,HF,AlCl_3 etc. as catalysts in homogeneous systems. 特别是对那些使用液体酸诸如H2SO4、HF和AlCl3等为催化剂的液相酸工艺。 短句来源 更多

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 homogeneous systems
 As an application of the generalized result, and under more weak conditions we obtain a result of Furta [8] about local first integrals of semi-quasi-homogeneous systems. Three-dimensional (3-D) computer simulations of the coarsening have been performed for elastically homogeneous systems with tetragonal misfit strain and elastically heterogeneous systems with dilatational misfit strain. Heterogeneous systems have the potential to achieve enhanced performance as well as cost-effectiveness over homogeneous systems when the application domain is known since they can match the problem structure more closely. To allow direct comparisons with algorithms from the applied mathematics and computer vision communities, we consider both inhomogeneous and homogeneous systems. First, those derived from supported carbonylate clusters-nanocatalysts and second, those produced from the heterogenization of known chiral homogeneous systems. 更多
 The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions... The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium and stability with the help of Lagrange's multipliers. The conditions of stability are expressed in several alternative forms. Next the equilibrium properties of a binary system arc considered, and some types of phase diagram are explained by means of equations. The theory is extended to the general heterogeneous equilibrium of a system consisting of any number of independent components. A system of equations for the change of temperature, pressure, and composition are obtained and are solved by means of determinants. Next Planck's theory of a binary solution is extended to a solution consisting of several solnte components, with the same conclusion regarding the lowering of freezing point as for a binary solution. Finally Planck's theory on the number of coexisting phases for aone-component system is extended to a system consisting of k components with the result that a state with, σ coexisting phases is more stable than one with σ-1 phases: where σ is an integer not greater than k + 2. 本文首述如何应用一半渗透之壁使一物体所包含各种分子之数改变,因之决定此物体之熵与其各种分子数之关系,由此关系极易推出一物体在改变其形态时,如汽化凝结等,所应适合之平衡条件。且若形态不变,而发生内部化学作用时,其平衡条件亦易推得。 次述如何由熵之增加原理推出能量最小之法则,然後应用此法则,辅以拉革兰氏之不定乘子,以求得一物体之普遍平衡与稳定之条件。其稳定之条件且以各种不同之形式表示之。 继讨论二元物体在平衡时之性质,随之以多元物体之性质,求得一组方程式以决定当此物体之性质改变时,其温度压力及各种分子之数如何改变。曾特别注意及溶液之性质,对於融点之降低与沸点之升高有一普遍之证明。 最後推广卜朗克氏关於并存形态之理论於多元物体,得与卜氏相似之结论。 The stereospecific polymerization of butadiene catalysed by homogeneous systems formed by combination of trialkyl aluminium with β-diketone chelates of rare earth elements has been studied. It has been shown that combinations of the following rare earth chelates with triethyl aluminium could induce cis-1,4 stereospecific polymerization of butadiene: NdB3 (B=benzoylacetonate), NdB, NdBTA(BTA=benzoyltrifluoroacetonate), NdTTA(TTA = thenoyltrifluoroacetonate), PrB3, PrB, PrBTA, PrTTA, YB3, YBTA, and LaBTA.... The stereospecific polymerization of butadiene catalysed by homogeneous systems formed by combination of trialkyl aluminium with β-diketone chelates of rare earth elements has been studied. It has been shown that combinations of the following rare earth chelates with triethyl aluminium could induce cis-1,4 stereospecific polymerization of butadiene: NdB3 (B=benzoylacetonate), NdB, NdBTA(BTA=benzoyltrifluoroacetonate), NdTTA(TTA = thenoyltrifluoroacetonate), PrB3, PrB, PrBTA, PrTTA, YB3, YBTA, and LaBTA. These homogeneous systems appear to possess much higher catalytic activity than those of the heterogeneous systems formed by combination of triethyl aluminium with halides of lanthanons studied earlier. Up to a certain extent of catalyst concentration, the catalytic activities of these systems increase with increasing ratio of Al/chelate or chelate/ butadiene (molar ratio). The polymerization has an induction period and it is found that the rate of polymerization is of first order with respect to the monomer concentration and approximately of first order to the chelate concentration. With the NdB3-Al(C2H5)3 system, the activation energy of polymerization has been determined to be 13.0±0.5 kcal/mole. Both polymerization rate and microstructure of polybutadiene depend upon the nature of the rare earth metal in the chelates rather than that of the ligands in various chelates, and the praseodymium and neodymium chelate systems gave higher catalytic activity. It is interesting to note that polybutadienes obtained with these homogeneous systems always have a 1,2-structure content less than 1%, with little or even no gel formation. The intrinsic viscosities of the polymers obtained varying from 4-5 to 1, depend on the Al/chelate and chelate/butadiene ratios. Variation in alkyl groups on the aluminium component results in a marked difference in catalytic activity. The Al(i-C4H9)3 system exhibits low activity and Al(C2H5)2Cl system is inactive. 本工作研究了β-二酮类希土螯合物与三烷基铝组成的均相体系对丁二烯定向聚合的催化活性及一些聚合规律。实验结果表明下列希土螯合物与三乙基铝组合时都具有使丁二烯进行顺式-1,4定向聚合的催化活性:NdB_3;NdB;NdBTA;NdTTA;PrB_3;PrB;PrBTA;PrTTA;YB_3;YBTA 以及 LaBTA 等。这些均相催化体系的活性远比非均相希土氯化物体系的高。在一定的催化剂浓度范围内,催化活性随着Al/希土及希土/丁(克分子比)的增高而增大。聚合反应速率对单体浓度呈一级关系,对希土螯合物浓度也近似呈 一级关系,并呈现一诱导期。丁二烯在 NdB_3-Al(C_2H_5)_3体系中聚合的总活化能为 13±0.5千卡/克分子。研究不同希土元素的这些螯合物表明同一元素的不同螯合物体系的聚合反应速率和聚合物链结构都没有显著的差别。但不同希土元素的同一整合物体系的聚合活性相差较大,含有镨和钕螯合物体系的活性比其他体系大。由这些均相催化体系所得聚丁二烯的1,2链节含量不超过1％,都不含或含很少量凝胶,聚合物的[η]随着Al/希土(克分子比)以及希土/丁(克分子比)的增大而降低,[η]可以从 4—5降至 1以下。A...本工作研究了β-二酮类希土螯合物与三烷基铝组成的均相体系对丁二烯定向聚合的催化活性及一些聚合规律。实验结果表明下列希土螯合物与三乙基铝组合时都具有使丁二烯进行顺式-1,4定向聚合的催化活性:NdB_3;NdB;NdBTA;NdTTA;PrB_3;PrB;PrBTA;PrTTA;YB_3;YBTA 以及 LaBTA 等。这些均相催化体系的活性远比非均相希土氯化物体系的高。在一定的催化剂浓度范围内,催化活性随着Al/希土及希土/丁(克分子比)的增高而增大。聚合反应速率对单体浓度呈一级关系,对希土螯合物浓度也近似呈 一级关系,并呈现一诱导期。丁二烯在 NdB_3-Al(C_2H_5)_3体系中聚合的总活化能为 13±0.5千卡/克分子。研究不同希土元素的这些螯合物表明同一元素的不同螯合物体系的聚合反应速率和聚合物链结构都没有显著的差别。但不同希土元素的同一整合物体系的聚合活性相差较大,含有镨和钕螯合物体系的活性比其他体系大。由这些均相催化体系所得聚丁二烯的1,2链节含量不超过1％,都不含或含很少量凝胶,聚合物的[η]随着Al/希土(克分子比)以及希土/丁(克分子比)的增大而降低,[η]可以从 4—5降至 1以下。Al(i-C_4H_9)_3也能与这些螯合物组成活性催化体系,但活性很低。Al(C_2H_5)_2Cl则不能与这些螯合物构成活性催化体系。 The latitude data obtained with the Danjon Astrolabe (OPL No 14) at the Shanghai Observatory during 1960-1979 are reduced to homogeneous system. After using the Vondra-k's method, the latitude values at every 0.05 year are derived. 本文将上海天文台丹容等高仪纬度资料纺一归算到均匀系统内。然后用J.Vondrak平滑法和Spline内插法将1960～1979年纬度资料平滑内插到每0.05年的纬度值。 << 更多相关文摘
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