我亲眼目睹有人发布有关微积分和三角法的恒等式难题，并迅速得到别人的解答。
I've seen people post Calculus and Trigonometry equations and get them solved fairly quickly!
在组合模型的权重系数求解中，首先对目标函数和等式约束使用拉格朗日乘子法来求解权重系数。
To calculate the weight coefficients of the combination model firstly the Lagrangian multiplier method is applied to object function and equality constrains.
平差参数间存在等式约束的情形下，一般采用广义逆法。
If adjustment parameters are in equality constraint, generalized inversion method will be adopted.
同时为了将不等式约束优化问题转化为单目标优化问题，对惩罚函数法进行了改进。
At the mean time, the penalty function was improved by transmuting the inequality constrained optimization problem into single target optimization one.
我们讨论了次正定矩阵的判别法，给出了次正定矩阵的行列式的一个不等式。
The necessary and sufficient conditions of metapositive definite matrices are discussed and an inequality for the determinants of metapositive definiter matrices is given.
在此基础上研究了利用等式约束与不等式约束的惩罚函数法对平面多杆机构进行尺度最优综合的有关问题。
Some problems of optimum synthesis of planar multi-bar linkages are studied by the penalty function method with equality and inequality constraints.
运用ABS算法讨论了等式约束优化问题中的拉格朗日乘子法所形成的线性方程组的求解问题；
The solution of indefinite equations arising from quadratic programming with equality constraints are discussed by ABS algorithms.
利用数学归纳法证明了一个关于正值函数的不等式，并举例说明了其应用。
This paper proves an inequality based on a positive function with mathematical induction and demonstrates its application with examples.
该文对于一类变分不等式提出了一种新的交替方向法。
This paper presents a new alternating direction method for a class of variational inequalities.
然后利用拉格朗日乘数法与隐函数定理，求出了使其中一不等式局部反向的临界值。
Furthermore, utilizing the Lagrange method of multipliers and the implicit theorem to work out the critical value which makes one of those inequality locally inverted.
它们有相同的收敛区间，应用代入法求出它们的级数和，从而获得孪生组合恒等式。
Because they have same convergence region, sum of series and combinational twin identifies was obtained using the method of substitution.
在支出法恒等式中进口是负值，利用支出法恒等式测算其各组成部分对GDP的贡献，得到的结果是净出口仅对GDP作出很小的贡献，或者进口对GDP是负贡献。
When using expenditure approach identity to measure the contributions of its components to GDP, the result is that net export only contributes a little to GDP, or import contributes negative to GDP.
本文在使用多余力作为状态变量的分解原理的基础上，应用动态规划与力法结合的方法，对于桁架结构，建立了动态规划的递推函数等式。
Based on the decomposition principle using redundant forces as state variables, this paper applies the method combining the dynamic programming with the force method to the truss structure.
数学归纳法可以用来证明与正整数有关的恒等式、不等式、整除性问题和几何问题等。
Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.
采用事件树分析法进行风险分析并建立了数学模型，包括火灾模型、有效释放率模型、热强度极限值、危险区域等式四部分。
Accident tree analysis is applied to risk analysis and a mathematical model is established, including fire model, effective release rate model, heat intensity threshold and hazard area equation.
本文对不等式约束非线性规划提出一种光滑逼近- BFGS法。
In this paper, a smooth approximation-BFGS method for solving inequality constrained nonlinear programming is presented.
解答分式不等式，选用数轴标根法比代数方法有更高的正确率。
In solving rational inequalities, using the number line yields a higher correctness rate than using algebraic manipulations.
本文所考虑的是二阶非定常系统稳定性的积分不等式判别法。
In this paper we shall discuss the criteria of stability for second-order linear nonautonomous, systems using the integral inequality.
本文介绍了夹具设计中的最短尺寸链计算法，可以解决“计算不等式”法中无法解决的疑难问题，有利于提高目前夹具的设计与制造水平。
Here's shown a method to raise existing level in fixture designing and manufacturing. It is able to calculate the shortest dimensional chain and to solve very difficult inequality.
运用范数不等式，使用数学归纳法，证明了几个范数等式。
Several norm equalities are proved by norm inequality and mathematics induction.
论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。
In this paper, the wide-diameter of generalized hypercube is proved in two ways whose difference is to use mathematical induction and constructing method to prove the inequation (1).
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
解答二次不等式，选用代数方法比数轴标根法有更高的正确率；
While most of the students use algebraic manipulations, some adopted the method of using the number line, and still some few solve by sketching the graphs.
解答二次不等式，选用代数方法比数轴标根法有更高的正确率；
While most of the students use algebraic manipulations, some adopted the method of using the number line, and still some few solve by sketching the graphs.
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