With variable substitution, several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained.
借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。
A mathematics model which deals with 54 variables and 43 constraint conditions is proposed to optimize the product structure by using linear programming theory.
本文运用线性规划理论，建立了一个包括54个变量(产品)，43个约束条件产品结构优化数学模型。
The results show that there is perfect Linear correlation relation between gravity value and elevation under the conditions of areal small scale and perfect isostatic compensation.
通过分析，认为在区域性小比例尺及均衡补偿基本完善的条件下，重力值与高程有极好的线性相关关系；
The general inference and demonstration of the equilibrium problem of particle system are carried on, the full and necessary conditions are given while the constraint is ideal, linear and scleronomic.
本文就质点系平衡问题进行了一般性的推证，给出了当约束是理想、线性定常约束时的质点系平衡的充要条件。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
The running conditions of each part and whole of the system are introduced. Then shaking table test employing LQR classical linear optimal control algorithms is performed.
在详细介绍了系统的各部分与整体运行情况后，采用LQR经典线性最优控制算法对结构进行了振动台试验研究。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
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。
This paper points out the disagreement of boundary conditions that generate force discontinuity in the linear spring damping contact model by analyzing the contact modulation of the clearance joint.
分析了含间隙运动副副元素的碰撞分离过程，指出线性弹簧阻尼模型不能满足接触边界条件并产生力突变；
On the basis of linear model of market share in incomplete market, this paper presents hypothesis conditions for security market total wealth once more.
在不完全市场中市场份额的线性模型基础上，重新提出了证券市场总财富的假设条件。
To observe linear DNA with atomic force microscope (AFM) and investigate the imaging conditions.
用原子力显微镜(afm)观察线性DNA并探讨其成像条件。
The analytical conditions for determination of mercury in rice by atom fluorescence spectrometry are optimized from the concentration of natrium borohydride and acid, linear range and recovery rate.
通过对硼氢化钠浓度、酸介质浓度、线性范围和回收率的探讨，优化了原子荧光光谱法测定大米中汞含量的测定条件。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Firstly, according to eigenvalue criterion, the robust stability necessary and sufficient conditions of single-multiplication interval linear systems are given.
首先根据特征值判据，给出单乘性区间线性系统鲁棒稳定性的充分必要条件。
We consider an optimal control problem linear systems affected by external persistent disturbances with known dynamic characteristics but unknown initial conditions.
研究具有已知动态特性但未知初始条件的持续外界扰动作用下线性系统的前馈-反馈最优控制问题。
Meanwhile, interference and recovery experiments were also studied and experimental conditions were optimum. The results show that this method have a wide linear range and lower detection limit.
同时进行了干扰试验和回收实验，并且对测定的条件进行了实验和论证，方法线性范围宽、检测下限低。
It could be controlled under some conditions. Controlled beam becomes mode which is unchanged propagation in linear media.
在一定条件下它是可控的。受控成模后在线性介质中传播保持其模不变。
Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.
利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。
The non linear regression and non linear optimization methods for operating conditions were introduced.
介绍非线性回归和操作条件的非线性优化方法。
The optimum measuring conditions and the concentration in which a fine linear range presented were introduced.
介绍了锂最佳测定条件及呈良好线性范围的浓度。
Maximum and minimum pumpage and optimum operation of water supply area in Baodian mine area in different periods and in different conditions are studied by grey linear programming.
用灰色线性规划研究鲍店矿区水源地当前和未来不同时期不同情况下的最大开采量、至少开采量及其相应的最优运行方案。
The goal of this section is to state conditions under which a linear transformation can be diagonalized.
目标，本节是国家在何种条件下可以转化为线性被。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
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。
The bismuth dissolving rate answers to linear law under the experimental conditions.
在实验条件下，铋的溶解速率遵循直线规律。
Under these conditions, the EEG can be considered as a linear random process .
在这些情况下，EEG可以认为是线性随机序列。
Under some conditions, a linear relationship between OUR and density of live cells at least in exponential growth period will be displayed.
在一定条件下，OUR与对数生长期的细胞密度呈良好的线性相关关系；
There is a regression constant in the linear regression model. But it is not significant in some conditions.
利用线性回归建模时，一般都采用有常数项的模型，而不去考虑它对回归的作用是否显著。
According to the equation of chromatographic dynamics, we can get the second central moment and the third central moment of elution curve of HPLC under linear nonideal conditions.
从液相色谱过程动力学方程出发，运用电子计算机证明了在线性非理想条件下高效液相色谱体系中不同保留值组分在柱末端峰形的分布基本一致的结论。
Under definite conditions, comparing two linear models with linear equality constraints, some simple necessary and sufficient conditions is obtained.
在一定条件下，比较带有线性等式约束的两个线性模型，得到了几个简洁的充要条件。
Under definite conditions, comparing two linear models with linear equality constraints, some simple necessary and sufficient conditions is obtained.
在一定条件下，比较带有线性等式约束的两个线性模型，得到了几个简洁的充要条件。
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