查询词典 exponential function

A necessary and sufficient exponential stability theorem with respect to a constant decay degree for general nonlinear dynamical systems is presented.

首先给出了一般非线性动态系统的关于常衰减度的指数稳定性充分必要定理，接着探讨了新型指数稳定性定理在线性系统稳定性分析中的应用。

The transient is seen to be a decaying exponential, and the commonly used measure of the speed of decay is the time constant

由图可见，瞬态响应为指数衰减的，通常用时间常数来衡量其衰减速度。

According to the Weisskopf-Wiger theory, the spontaneous emission decay in the free space is following an exponential decay law with the constant decay rate.

在第二章中，主要研究了多层结构中二能级原子非马尔科夫自发衰减过程的记忆函数。

In particular , when f = 0 , we prove exponential decay of logn towards the constant steady state log n_∞= 0 in the L~1 norm for long times and give the explicit rate of decay.

特别地，当f=0时，边界条件记为： n=1，n_x=0，on aΩ我们证明了当时间t→∞时，log n在L~1空间中关于时间t按指数形式衰减到0，并且给出了显式的衰减速率。

Calculate the exponential decay curve of the Preventive replacement costs until they intersect the corrective replacement costs on a time basis.

计算预防更换成本的指数衰减曲线直到他们在时间基础上横断矫正更换成本。

Fluorescent decay temperature measurement principle was used to measure the temperature,for improving the performance of this kind of method as it has not yet reach the theoretical predict,an optimization method of enhancing the performance was brought forward,which including:(1) The trend of non-exponential variation of the actual fluorescent decay curve is the main factor leading to the result that the temperature measurement performance is not as good as describe by theoretical predict.

这一发现可用来开发高性能的荧光余辉测温装置；(2)提出截断归一化方法，通过图解和计算，得到荧光余辉非指数倾向程度的量化指标，用来优选荧光材料；(3)提出优化荧光余辉测温装置的设计概念，即物理现实、数学模型及数据处理方法要尽可能匹配，才能有效的提高装置测温性能；(4)仿真与实验验证了上述理论与方法的有效性。

The polarization retention is investigated and shows a stretched exponential time dependence decay law.

用EFM模式研究了电畴极化保持特性，其表面电势差随时间的变化遵从指数函数变化规律。

For the percolation model on lattice nested fractals, thecritical phenominon, exponential decay law are investigated in the second chapter.

第一章研究了SierpinskiGasket格点图上边渗流模型的临界现象、指数衰减律和临界值的唯一性。

The test results show that both the permeability of sandstone and that of granite with a single fracture declines with the increasing effective pressure, following the law of exponential decay. The permeability sensitivity of granite with a single fracture to effective stress is much stronger than that of sandstone, but the recovery capability of permeability of sandstone is more stronger than that of granite with a single fracture.

试验结果表明，在围压升降过程中，砂岩和单裂隙花岗岩的渗透率均随有效应力的增加呈负指数规律减小，但单裂隙花岗岩的渗透率对有效应力的敏感程度远大于砂岩，而砂岩渗透率的恢复程度则远大于单裂隙花岗岩。

In this study, for the complicated distribution of dose rate in time and space, considering the repair of the sub-death cells, the radionuclide decay law and exponential proliferation of clonogenic cells, the dose-response relationship is built based on the known linear-quadratic model, and the concept of tumor control probability is introduced into the therapy method. Furthermore, the concepts about "curable stage" and "critical time point" and the methods calculating the amount of radionuclide injected into tumor in clinical are proposed.

本课题针对这一方法中靶区复杂的剂量率时-空分布特点，以公认的"线性-二次模型"理论为基础，同时考虑亚致死性细胞修复、核素衰变规律和克隆原性细胞指数增殖，建立了适合这一治疗方法的具有时-空分布特点的剂量效应关系，并进一步将肿瘤控制概率的概念引入这一方法中，提出了"治愈期"及"临界时间点"的概念以及由此指导临床确定药物注射剂量的方法。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。