递增函数

The reliable of FCT was calculated respectively by using narrowcasting formula and approximation calculus formula.

利用独立的失效概率为q的Bernoulli试验序列、概率公式和递增凸函数的性质推导出了钻井油气层测试器的可靠度的近似计算公式。

When the production function was general, using theory of control and theory of stability, this paper discussed the production effect of government expenditure and fiscal policy, and got the expression of economic growth rate and structure stability of the economic variables when the production function was constant return to scale or increasing return to scale or decreasing return to scale, and pointed out how the interrelated parameters affected economic growth rate.

摘 要：在生产函数为一般形式时，利用控制论及定性理论的基本方法，讨论政府支出的生产效应和此时的财政政策。得出了当生产函数为规模收益不变、递增和递减时，经济增长率的大小及此时相关经济变量的定性结构，并指出了各种情况下相关参数如何对经济增长率产生影响。

It was shown that when the production function was constant return to scale, the model became a A-K model; when the production function was increasing return to scale, the equilibrium point was unstable; when the production function was decreasing return to scale, the equilibrium point was a saddle.

结果发现：生产函数为规模收益不变时，模型简化为A-K模型；生产函数为规模收益递增时，均衡点为不稳定结点；生产函数为规模收益递减时，均衡点为鞍点稳定。关键词：数理经济学；经济增长；政府支出；生产效应

In the proof,sufficient conditions are proved mainly by properties of K function and continuity of Lyapunov function:in necessary proof,we separately structure Lyapunov functions which satisfy the conditions of the theorems, such that the results establish.

在定理的证明中充分性主要利用K类函数严格单调递增和Lyapunov函数的连续性；必要性的证明中，分别构造Lyapunov函数，满足定理的条件，使得定理的结论成立。

Chapter six presents such new concepts as margin utility contribution force, profit-risk exchange rate, state-expectation-variance utility function, long-term expectation-variance utility curve and optimal portfolio expansion curve. The state-expectation-variance analytical method is developed from the expectation-variance analytical method. The changing rate of profit-risk exchange rate to state variable is used to define and distinguish the decreasing, constant and increasing relative risk aversion. A decomposition formula about the margin contribution force of holding wealth to state-expectation-variance utility function is displayed. The decomposition formula demonstrates that the contribution force of investors' holding wealth to their utility is composed of the pure contribution force of holding wealth and the investment contribution force bronght about through investment portfolio.

第六章提出了边际效用贡献力、收益—风险替换率、状态—期望—方差效用函数、长期期望—方差效用曲线、最优证券组合扩展线等新概念；把期望—方差分析方法发展成状态—期望—方差分析方法；用收益—风险替换率对状态变量ω的变化率来定义和区分递减、定常、递增相对风险厌恶；获得了持有财富对状态—期望—方差效用函数的边际贡献力的分解式，该分解公式表明投资者的持有财富对他的效用的贡献力由持有财富本身的纯贡献力和持有财富通过投资证券组合所产生的投资贡献力所组成。

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

The first adjustment was to replace logarithm function by S function for modeling the inner hair cells in cochlea,and the other was distributing frequency bins on frequency axis with the width of frequency bin proportionably increasing.

利用S函数取代对数函数对耳蜗内毛细胞进行模拟，将频率箱按照频率范围等比递增的方式在频率轴上进行分布；同时，利用Gammatone滤波器组进行耳蜗基底膜的建模。

The first adjustment was to replace logarithmfunction by S function for modeling the inner hair cells in cochlea,and the other was distributing frequency bins on frequency axis with the width of frequency bin proportionably increasing.Furthermore,the basilar membrane was modeled by Gammatone filterbank.

利用S函数取代对数函数对耳蜗内毛细胞进行模拟，将频率箱按照频率范围等比递增的方式在频率轴上进行分布；同时，利用Gammatone滤波器组进行耳蜗基底膜的建模。

And lower bounds for ideal class numbers ofseveral series of real quadratic function fields are provided.

并且讨论了二次函数域的理想类数随判别式的次数的递增变化的规律，从而说明了解决二次函数域Gauss猜想的困难之所在。

In "Eighth Five-Year Plan" and the "Ninth Five-Year Plan" period, satisfaction degrees increased gradually, the growth of Xinjiang's agricultural economy transitted from extensive type to intensive one.

通过建立新疆农业经济增长满意度指标体系，引入递增满意函数、梯形满意函数及其阈值，计算出新疆各地州1991，1996，2001年相应指标的满意度。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。