Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface; and the modified reliability formula is derived.
首次选取泰勒级数的部分二次项，用一个距原点最近点处拟合的超低维曲面近似极限状态面。
Therefore an algorithm is developed to (approximate) the limit state equation accurately around the true design point through iterative modifications for the design point solution.
由此提出一种算法，通过逐步修正求解得到的设计点以实现在设计点附近较高精度地逼近结构真实极限状态方程。
By the intuitive idea of approximate an infinite dimensional manifold by finite dimensional manifolds, concepts of projected subsystems and project limit controllability are proposed.
根据用有限维流形逼近无穷维流形的思想，提出了投影子系统和投影极限能控性的概念。
The approximate formula for limit load is found when the fraction angle is less than the half conical one.
在摩擦角小于半锥角的情况下，给出了极限承载能力的近似计算公式。
This is a kind of approximate calculation, which belongs to low research of level, and this accurate analysis needs bent axle actual condition of work limit more to calculate.
这是一种近似的计算，还属于较低层次的研究，因为更详细且精确的分析计算需要有曲轴实际工作条件的更多限制。
Then approximate analytic formula of system frequency are obtained. Meanwhile, approximate analytic formulation of limit velocity is obtained.
而后求出了系统固有频率的近似解析公式，同时也得到了极限流速的近似解析公式。
Advances an improving rigid nonlinearity hardening approximate model of the constitutive relations using the traditional theory of plastic limit analysis.
应用传统的极限分析理论，对可简化为刚塑性的材料本构关系提出了一种改进的“刚性-非线性强化”近似模型。
An approximate formula for calculating the ultimate load on a foundation was derived by using the generalized limit equilibrium method.
应用广义极限平衡法获得了地基极限荷载的近似计算公式。
This paper presents an approximate analytic method which determines the characteristics of aircraft lateral-directional limit cycle oscillation induced by aerodynamic hysteresis.
本文给出近似解析公式，确定空气动力迟滞引起的飞机横航向极限环振荡特性。
Methods Based on central limit theorem and continuity correction principal , the formula of once approximate method and its continuity correction formula were derived.
方法根据中心极限定理和连续性校正原理，给出一次近似法和校正一次近似法计算总体率可信区间的公式。
The approximate formula is: the initial bounding rectangle is inflated by pen width, and this result is multiplied by the miter limit, plus some additional margin to allow for end caps.
大概的公式为：初始周框会根据画笔宽度膨胀，而这个结果是乘以斜接限制，加上某些要考虑端点的额外边界。
We propose a concept of conversion factor of binomial distribution. By using this factor, the approximate classical limit of parameter for the last stage is obtained.
我们提出了二项分布折合因子的概念，利用它获得了最末阶段参数的经典近似限。
Because of the finite sample size, the precise limit and derivative does not exist. However, the approximate derivative will provide insight into the game balance.
因为样本大小有限，精确极限和导数不存在，最近似的导数可以洞悉游戏平衡性。
This paper gives the one-side approximate lower limit of complex system availability by using fitting method, it can be used in reference to evaluate the shortest life of satellite system.
文章用拟合方法给出了复杂系统的有效度单边近似下限解，可用来计算卫星系统的有效度单边近似下限，并为评估卫星系统的最短寿命提供数据参考。
The study results are irrelevant to the initial status of the network and quite approximate to the lower limit of the optimum solutions.
算法的学习结果与网络的初始状态无关，并且十分接近于全局最优解的下限。
The upper limit values of blurred area coverage of focal spot caused by the fluctuation of accelerating gap voltage are also calculated using a approximate method.
同时通过近似计算给出了由于加速间隙电压波动引起束聚焦焦斑模糊范围增大的上限值。
Following a detailed mathematical derivation a new approximate algorithm for the fatigue fracture of metals is given namely a complicate integral having a changing upper limit.
在详细的数学推导之后，给出了金属疲劳断裂几率即一个变上限复杂积分的近似解析函数表达式，并与计算机的数值曲线进行了比较。
In this paper we employ a simpk approximate simulated system to explain that self-oscillation of oil membrane is in close relationship with limit cycles.
本文采用一个简单近似模拟系统说明油膜自激振动与极限环是密切相关的。
Based on the traditional plastic limit analysis, an improved rigid-nonlinear Hardening approximate model is established.
应用传统的极限分析理论，提出一种改进的刚性-非线性强化近似模型。
In this paper, it analyzes the qualitative stage, and USES quantitative model to count the exact point of each stage, not to limit the approximate diagram.
本文既对定性阶段进行分析，还利用定量模型推导出各阶段的精确点，而不仅仅局限于示意图的大概描述。
Using the hierarchical exponent test data, an information theory method for calculating approximate confidence limit of system reliability was presented.
研究了一种求解具有多层指数型数据混联系统可靠性近似限的信息论方法。
Performances of approaching and approximate error were given for the new smooth function, as well as the study of convergence and the approximation limit of optimum for the new model.
还给出了新光滑函数的逼近性能和精度分析以及新模型的收敛性证明和最优解的逼近上限。
Performances of approaching and approximate error were given for the new smooth function, as well as the study of convergence and the approximation limit of optimum for the new model.
还给出了新光滑函数的逼近性能和精度分析以及新模型的收敛性证明和最优解的逼近上限。
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