导出方程

Based on theoretical calculation of electronegativity of groups offlotation-reagent and method of infra-red adsorption spectroscopy, the collection andadsorption of α-nitroso-β-naphthol in hematite flotation have been studied. The chemicaladsorption seems to be predominant owing to formation of pentacyclic nitrosyl chelate com-pound by atoms of nitrosyl bond in α-nitroso-β-naphthol together with Fe~(3+) on hematitesurface.

研究了α-亚硝基β-萘酚对赤铁矿的捕收性能及吸附规律，导出了吸附方程和吸附速率方程用药剂基团电负性理论计算以及红外吸收光谱法论述了其作用机理α-亚硝基β—萘酚主要是以N O键合原子与赤铁矿表面的Fe形成N O五元环螯合物而化学吸附。

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

Applying convection equation describing local precipitation anomaly system and real-time meteorological observatory data, the nonlinear oscillation equation describing Kunming precipitation anomaly system was derived and retrieved.

从描述局地降水距平率系统的对流方程和实际气象观测资料出发，导出并反演了描述昆明局地降水距平率系统的非线性振荡方程。

Based on the fundamental solution of two perfectly bonded elastic halfspaces, the boundary integral equation method is used to reduce the problem to a hypersingular integral equation in which the unknown function is the crack opening displacem...

首先根据双材料空间的弹性力学基本解，使用边界积分方程方法，在有限部积分的意义下导出了以裂纹面位移间断为未知函数的超奇异积分方程，并为其建立了数值法。

The formula was established about calculating design parameters and technological parameters of ideal strip and bent strip in the period of forming. The thesis presented how to calculate the deformed area length and contact are radius of contact deforming between two elastic bodies on condition of the friction. The calculating formula of pinch force about plate-strip pinch mill was given and the results were analyzed that friction coefficient and radius of pinch rolls are very important for determining pinch force. Moreover, the rule of deforming and stress distribution of different 〓 ratio were gained on condition that the deforming was considered to be non-uniform distribution in the gap. The differential equations were got that calculate the displacements of large deflection of elastic cantilever rectangle plate with fixed end and the formula of the Finite Strip Method was conducted to study the regularity of mid-plane displacements, deformation and stresses for elastic-plastic large deflection bend of cantilever parallelogram plate with fixed or slidable end by integrating Prandtl-Reuss equation.

建立了一套完整的设计参数计算公式和在成型过程中理想带钢或具有月牙弯带钢的工艺参数的调整公式；在考虑摩擦力的条件下，对两弹性体接触变形过程中的接触变形区长度和接触弧半径用位移解法进行了研究，推导了板带递送机的递送力计算公式，从而得知在递送机设计过程中，应选择适当摩擦系数和辊身直径；另外，还从辊缝内带钢实际变形出发，分析了对于不同的〓值，带钢的变形规律及应力分布状况；建立了固定端悬臂矩形板弹性大挠度弯曲变形的控制方程，并且在对Prandtl-Reuss方程的积分处理的基础上，导出了固定端和滑动端悬臂平行四边形薄板的弹塑性大挠度的中面伸展位移、变形和应力的有限条元法公式，编写了Fortran语言计算程序，在各种参数条件下，对螺旋焊管成型过程变形规律进行了全面的分析研究，从而为螺旋焊管的生产和进一步的改进提供了理论依据。

To apply the method of Chapter Ⅱ to ring dynamics, we develop the streamline formalism to a canonical form in Chapter Ⅲ. The perturbation equations which describe the perturbed motion of streamlines are derived, with the general form of a near-conservative system.

为将上述映射方法应用到环动力学的研究，在第三章"流线表示法的正则描述"，我们研究该表示法的正则形式，导出描述流线运动的受振运动方程，该方程具有近保守系统的一般形式。

The unified discrete iterative map model of peak current and valley current controlled buck, boost, and buck-boost converters is established, and the unified piecewise smooth iterative map and their corresponding characteristics equations are also derived.

本文建立了峰值电流和谷值电流控制Buck，Boost，及Buck-Boost变换器的统一离散迭代映射模型，并导出了统一的分段光滑迭代映射方程及特征值方程，通过数值仿真得到了占空比变化时的正、逆分岔图和Lyapunov指数谱。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

Furthermore,a set of general flow correction formulas is derived from the newgeneral flow equation,It is evident that the conventional flow equation for rotameter is...

进而，由其导出一组普遍流量修正实用公式，讨论表明，习用流量方程只是新的普遍流量方程的特例。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。