导出

To the question of fatigue invalidating of strain gages in dynamic test(normally the zero drift value being bigger than the permissible value),the equations for calculating the fatigue life of the strain gages are derived on the basis of the fracture mechanics theory.

针对应变片在长时间的动态测试中疲劳失效(一般是测量误差超过允许值)问题，本文从疲劳断裂力学的基本理论出发，导出了应变片疲劳寿命的计算公式；实验表明，实验曲线与理论曲线吻合，这证明我们推导的公式的正确性，为应变片的疲劳寿命的预测、许可载荷的确定、失效判据的确立提供了理论基础。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

The method for constructing LDPCC code includes encoder and decoder. Operational steps include as following: determining parameters of checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout polynomial matrix HT of LDPCC code; exporting generated matrix G of LDPCC code.

一种LDPCC码的构造方法，包括编、译码器，运行的步骤包括：初始化的步骤；确定一个置换单位矩阵LDPC分组码的校验阵HQT的参数的步骤；构造置换单位矩阵LDPC码校验阵HQT的步骤；构造LDPCC码的校验多项式矩阵HT的步骤；导出LDPCC码的生成矩阵G的步骤。

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 stability of the helical equilibrium is analyzed with phase plane method, and an analytical criterion of stability is revealed.

用相平面法分析螺旋线平衡的稳定性，导出解析形式的稳定性条件。

The amplitude-frequency characteristic is given and the stability of the piston motion is analyzed by the phase plane method.

建立活塞组件动力学模型，导出了活塞振动方程，研究了活塞的幅频特性并运用相平面法分析了活塞运动的稳定性。

The paper presents a method of experimental mechanics which is combined traditional electronic measurement with photoelasticity using in online analysis of strength.

本文将电测方法与光弹性方法结合在一起，导出了应用读数应变εd就可以获取准静态情况下结构的载荷P、危险截面位置和最大应力峰值σ_(X_0Y_0Z_0)的理论计算方法，从而为结构的在线强度评价提供一种实验分析方法。

It presents a novel hypothesis that the limit angle of the opposite phyllotaxis in plants is a πω2 by the theory of analogy at first time.

采用差分方程理论和互生植物叶序分数序列的极限ω2 导出植物对生叶序序列和叶序分数。

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。

The model′s rationality is briefly discussed,from this the mathematical formula for model′s parameters are derived such as pitch circle diameter,secondary current,effective depth of hearth,electrode diameter and operation tesistance etc.

文章简要地论述了此熔炼模型的合理性，并由此导出了极心圆直径、二次电流、炉膛有效深度、电极直径、操作电阻等模型参数的数学表达式。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。