和指数

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Sufficient and necessary condition is given for asymptotic stability and exponential stability of one dimension and multi-dimension.

分别给出一维情形和高维情形系统的渐近稳定和指数稳定的充分必要条件。

And speculative funds and index funds investment strategy of these changes are the third quarter of the bulk commodity price plunge in the main kinetic energy.

和投机基金和指数基金的投资策略，这些变化是对大宗商品的主要动能第三季度价格下跌。

The vertical concentration distribution is obtained for the mixed layer and free atmosphere for which the fitting from a linear and an exponential decay law, respectively, leading to the lapse rate of ～ 64cm〓 per 100m rise for the concentration in the mixed layer over the study region.

大气气溶胶粒子在逆温层下存在明显累积，混合层和自由大气中分别随高度线性和指数递减，辽宁地区混合层内垂直递减率约为-64cm〓/100m。

One of the integer part or the fractional part may be elided; one of the decimal point or the exponent may be elided.

整数部分和分数部分可以二者舍其一；小数点和指数也可以二者舍其一。

In particular, Stolarsky mean are generalized from two variables to n variables. Moreover,we make ωi become weight function to diversity the kinds of mean function. For the mean family, we discuss mean family with single parameter or multi-parameter .

此外还通过改变权w_i，使之成为权函数，从而使n元平均函数的形式多样化，在n元平均族中给出了单参数和多参数平均族，并讨论了具体的单参数的幂平均族和指数平均族，多参数的Dresher平均以及由此构造的另一种形式的双参数平均族。

No need to be a hacker to find and index local and remote file storages.

没有必要成为一个黑客，以寻找和指数在本地和远程档案库。

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.

继高斯之后，人们用代数数论对于m较小情形计算出m次高斯和。近年来，人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形，高斯和的值分别属于有理数域和虚二次域。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。