查询词典 principle of the minimum

We introduce the basic concepts needed to analyze the estimation error in VC theory by showing the connection between Empirical Risk Minimization consistency and uniform convergence and illustrate necessary and sufficient conditions for the consistency of the ERM principle, that is for the convergence of the minimum of the empirical risk to the minimum of the expected risk.

为了整合最小化经验风险和最小化期望风险理论，我们将藉由最小化经验风险(Empirical Risk Minimization， ERM)及统一收敛性举例说明原理的必要与充份条件，以分析VC计算理论的误差估算所需的基本概念。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

Governing equations and boundary conditions can be derived from the principle of minimum potential energy and Hamilton's principle.

例如 ，航空结构上常用的蜂窝夹层板横向剪切模量与其它方向的弹性模量相比很小，横向剪切弯形不能忽略，相反它是一个重要的影响因素。

This system is based on the principle of National Treatment, the principle of Independent Protection and the principle of Minimum Protection.

该体制是以国民待遇、独立保护、最低限度保护等原则为基础的。

From the minimum potential energy principle, the shape discrimination is transformed into the solution of minimum characteristic value.

将轧后板带离散为若干纵向条元，用三次样条插值函数和正弦函数构造挠度模式，根据最小势能原理，将板形判别——失稳判别——归结为最小特征值的求解。

According to the requirement of a minimum-fuel-consumption, a method of coplanar hit orbit optimization design for SGKW was studied. The dimensionless planar motion model of SGKW was founded, and the optimal control problem of minimum-fuel-consumption coplanar hit orbit was derived into two-point-boundary-value problem according to Pontryagin maximum principle.

针对燃料最省要求，研究了SGKW共面打击轨道优化设计方法，建立了SGKW的无量纲化平面运动模型，利用庞特里亚金极大值原理将燃料最省共面打击轨道的最优控制问题转化为两点边值问题。

The new criterion of minimum principle of absolute harness for flotation reagents put forth The new criterion of minimum principle of absolute hardness for flotation reagents has been studied.

进行了银矿物的浮选研究天然的Ag〓S、Ag及合成的银浸染闪锌矿、AgCl、Ag〓SO〓、Ag〓O的单矿物浮选实验表明，这些矿物在pH≤5.5都具有很好的可浮性。

Introduced in this paper is a new method by which parameters are selected on the principle of the maximum turbine efficiency to derive a formula for the calculation of the optimal velocity ratio, and on the principle of the minimum leaving velocity loss and preventing diffusion flow to derive respectively the formulas for calculation of rational veloity ratio.

本文以涡轮效率最大的原则选参数，导出了计算最佳速比的公式；也以离速损失最小和防止扩压流动的原则选参数，分别导出了计算合理速比的公式。

The principle of the minimum potential energy Because the virtual displacement is very small, the value and the direction of the external forces can be regarded as invariable during the virtual displacement, and only its acting points are changed.

三 极小势能原理由于虚位移是微小的，因此在虚位移的过程中，外力的大小和方向可以当做保持不便，只是作用点有了改变。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。