方程又称为条件等式，因为其中的未知量通常只允许取某些特定的值。
Equipment is called an equation of condition in that it is true only for certain values of unknown quantities in it.
这是基于经验数据而得出的特定表达式，一般而言，该等式在特定条件下方成立。
It's a specific statement based on empirical data, and its truth is generally confined to a certain set of conditions.
过滤条件可以指定为列名，其后跟等式、不等式或布尔运算符，然后是过滤值。
Filter criteria are specified as the column name, followed by an equality, inequality, or Boolean operator, followed by the filter value.
给出了线性矩阵不等式形式的稳定滑动模面存在的充分条件。
The sufficient condition for the existence of stable sliding surface was derived in terms of LMIs.
转化后的问题要求其乘子是非负的，故其KKT条件与一般的等式约束优化问题不同。
Therefore, its KKT conditions are different from those of the general equality constrained optimization problem.
最后通过线性参变控制，获得了用有限维数线性矩阵不等式描述的充分条件。
A sufficient condition is obtained using finite dimension linear matrix inequalities (LMI) describing by linear (parameter-variety) control.
将会话密钥s分解成S1与S2之和。在大整数分解困难问题的条件下，构造特殊等式来解密s1(方案1)。
The session key s is divided into the sum of S1 and S2. Under the condition of a large integer factoring problem, S1 is decrypted by constructing a special equation (scheme 1).
研究了带线性等式约束下增长曲线模型中条件可预测变量的最优预测。
The problem of conditional optimal prediction for conditional linear predictable variable in the general growth curve model is investigated.
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.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
提出了一种等式到达条件下的离散变结构组合控制策略，设计了基于该控制策略的负载频率控制器。
A discrete variable structure composite control strategy which use an equality form of the reaching condition is proposed and applied to design the load_frequency controller.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
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。
Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.
在适当的条件下，通过建立一个先验不等式，证明了其唯一非负解是平凡的。
By establishing a prior inequality, we prove that, under suitable conditions, the unique non-negative solutions of the problems are trivial.
最后，给出一个新的粗糙度定义，并证明在这种定义下，下近似具有与上近似一样的不等式及其充分条件。
At last, a new definition of the rough degree is defined, and lower approximation has the same inequality and the same sufficient condition as upper approximation with the new definition.
研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.
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.
在分析无条件全局指数稳定性时，我们将时滞微分不等式引入到稳定性的研究中。
Global exponential stability theorems are given by using a method based on delay differential inequality.
在一定的条件下给出了两个含参数的积分不等式，其误差估计是最佳的。
Two integral inequalities with a parameter whose estimation of errors is best were given under certain conditions.
讨论了一类非线性等式与不等式组的相容性，给出了其相容的充要条件。
The compatibility of a class of nonlinear equality and inequality systems is discussed. The necessary and sufficient conditions of the compatibility are given.
基于线性矩阵不等式(LMI)方法，给出了该系统可分散控制的充分条件及相应控制器的设计方法。
Based on the LMI approach, give a sufficient condition for decentralized stabilization and a method for the design of corresponding controllers.
同时利用序补问题与隐变分不等式的关系给出了隐变分不等式解的存在性的新条件。
Then, using the relation between the order complementarity problem and implicit varational problems, the author gave some new results on implicit varational problems.
本文针对离散区间2 - D系统的二次稳定性问题，给出了线性矩阵不等式形式的判定条件。
This paper presents a condition in terms of linear matrix inequalities (LMIs) for the quadratic stability of discrete-time interval 2-d systems.
用矩阵不等式给出了模糊反馈增益和模糊观测器增益的存在的充分条件，并将这些条件转化为线性矩阵不等式（LMI）的可解性。
Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities(LMI).
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
以周期非线性光学介质中隙孤子存在的条件为依据，数学计算分析得到两组参量关系不等式。
Based on the conditions of the gap soliton in periodical nonlinear optical medium, two inequalities for relation of parameters are obtained.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
应用推荐