利用极值理论，讨论斜抛物体运动轨迹的极值条件。
We study the extremum conditions of the locus of motion of oblique projectile by using the extremum theory.
文中证明，特征线法的应力关系式与本文的屈服条件、屈服函数的极值条件是相同的。
When the material does not display a yield point, a quantity known as the proof stress is used when making design calculations.
对屈服条件与屈服函数的极值条件进行了讨论，在不需要流动法则的情况下建立了速度方程。
The extreme conditions of yield condition and yield function are discussed; and a velocity equation is established under the condition that no flow rule has been required.
有一个极值问题，也有关于拉格朗日乘数法的，链式法则也会有的,约束条件下偏导数当然不会漏掉。
Expect one about a min/max problem, something about Lagrange multipliers, something about the chain rule and something about constrained partial derivatives.
摘要李文学用拉格朗日函数提出求条件极值的充分条件，但他的证明却是错误的。
Wenxue li put forward a sufficient condition of conditional extreme value with Lagrange function but his proof is wrong.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
利用这些波长作为每层膜的监控波长，满足光电极值法的监控条件，由此提出了一种监控非规整膜系的新方法。
A new method for monitoring non-normalized coating system is proposed by using these wavelengths as monitor wavelengths for each to fulfil the monitoring condition for extremum method.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
文章还指出了该可诊条件为合理使用定位故障的极值法提供了理论基础。
In addition, it is shown that this condition provides a theoretical basis for reasonably application of extreme methods to locate faults.
同时，还导出了最大推力喷管这个泛函极值问题解存在的条件。
The condition of the existence of solution of functional extreme value problem applied to maximum thrust nozzle is also presented.
第一章包括六个领域和薄弱和强大的极值充分条件的理论。
First six chapters include theory of fields and sufficient conditions for weak and strong extrema.
国际集装箱班轮运输航线规划策略，从本质意义上说是一种条件极值问题。
The international container service layout strategy is essentially a kind of conditional extremum issue.
首先确定了自由度组合到指尖空间位置的映射，建立了求解上述问题的最小二乘模型、泛函条件极值模型，并给出了数值解法。
The nonlinear least square method and functional condition extremum model are introduced to describe the problems and numerical solution of them is proposed.
得到了方程（ ）严格振动的充分条件，环长以及环上极值位置。
Some sufficient conditions for the strict oscillation, the cycle length and the position of the extreme in a semicycle of the equation are obtained.
实例计算表明：在任一温度、压力和组成条件下，无论多组分系统是汽液共存还是仅为单相，该算法均能快速得到相应极值解。
Computation experience shows that this method can judge quickly whether the multi-composition system at a given pressure and temperature is in tow-phase or single-phase condition.
同时还指出了条件极值和无条件极值在概念上及求法上的一些区别。
Meanwhile, the differences between the conditional extremum and unconditional extremum in concept and evaluation are pointed.
通过对两类特殊三元函数极值问题的探讨，得到了由其系数来判别它们能否取得极值的充分条件。
Via the discussion about the extremum question of two kinds of special ternary function, Obtain the sufficient condition of judging if they can get the extremum by their coefficients.
本文对一般的二阶线性椭圆型方程，在满足内部锥条件时，证明了其强极值原理。
In this paper, the strong extremal principles have been proved for second or der linear elliptic equations on the domain which satisfies an interior cone condition.
利用函数行列式求得多元函数在附加条件下的可能极值点。
Striving for the possible extreme value points of poly function with addition condition by using the function processions.
李文学用拉格朗日函数提出求条件极值的充分条件，但他的证明却是错误的。
Wenxue Li put forward a sufficient condition of conditional extreme value with Lagrange function, but his proof is wrong.
在满足有关条件下，得到了计算电容电压稳态波形极值的两个公式。
Two formula calculating the extremum values of the steady-state waveform of the capacitance voltage are obtained in certain conditions.
本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ，定义了二元齐次多项式的正定性 ，并基于定义给出了二元函数极值的一个充分条件。
This paper is mainly devoted to provide a supplementary analysis of extreme value problem of bivariate functions, in which a new sufficient condition and its concise proof when critical case is given.
理想形变假设认为变形是在整体塑性功取得相对极值的条件下得到的，给出了理想形变的数学公式和有限元表达。
The mathematics formula and FE expression of ideal forming obtained when the global plastic work has its relative extreme value is provided.
数值结果表明横波波速的极值方向与岩石远场应力的方向相一致，指出了简化模型的适用条件。
The numerical results show that the extremum direction of shear waves coincides with the direction of far-field principal stress. Furthermore, we verify the validity condition of the simplified model.
许多经济系统中的优化问题，可化为用单值非线性算子或多值算子形成约束条件的条件极值问题。
All know that most of the optimization of economic system can be converted into conditional extreme value problem which takes nonlinear operator or multi operator as constraints.
利用这些概念，得到了总极值的最优性条件。
With these concepts, integral optimality conditions for global optimization are obtained.
复杂地形，特别是山地条件下地震勘探中的大静校正问题是一个非线性的、具有多参数多极值的全局优化难题。
For the areas of complex topography, especially mountain area, static is a non-linear hybrid optimization problem with the presence of multi-parameters and multi-extremes.
复杂地形，特别是山地条件下地震勘探中的大静校正问题是一个非线性的、具有多参数多极值的全局优化难题。
For the areas of complex topography, especially mountain area, static is a non-linear hybrid optimization problem with the presence of multi-parameters and multi-extremes.
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