解析式

The fuzzy algebraic sum integrator and the fuzzy algebraic product integrator are considered, and the analytic expressions of the false alarm rate for them are derived.

研究了模糊代数积、模糊代数和两种积累准则，推导出这两种方法虚警概率的数学解析式。

Based on force diagram an analytical expression between some factors and splaying angle of the bar is brought forward, pointing out that splaying angle of the bar should be 2 3 degrees, and slitting angle should be 30 degrees approximately, outboard slant angle on the slitting groove should be 45 50 degrees and bite angle should be 7 8 degrees.

为稳定小规格带肋钢筋的三线切分轧制，对涉及棒材张开角的切分孔孔型诸角度进行了分析，通过对轧件受力状态的讨论，提出了诸因素与棒材张开角之间的解析式，指出满足三线切分稳定轧制时的棒材张开角应为 2°～ 3°，相应的孔型切分角为 30°左右，孔型外侧壁倾角应在 4 5°～ 5 0°之间，咬入角可控制在 7°～ 8°之间等。

The pulse width broadening of the femtosecond laser after angular dispersion wasdescribed,the pulse width expression at arbitrary propagation distance was provided,the pulse width broadening of the femtosecond laser by AOD was precisely predicted,thegeneral theory on pulse width broadening of plane wave,spherical wave and Gaussianbeam was deduced and the physical mechanism of pulse width broadening based on eachabove light beam model was revealed.

本文对随机扫描双光子显微镜中飞秒激光传输特性进行了系统深入的研究，完整解决了这一理论问题，发现了空间与时间色散通过角色散耦合的规律，为空间与时间色散同时补偿的方案提供了理论依据，基于此原理的单个角色散器件同时补偿空间和时间色散的方案高效解决了声光偏转器的色散补偿这一核心难题，为建立随机扫描双光子显微成像装置并应用于神经学研究奠定了基础：阐明了飞秒激光经角色散后的光斑展宽规律，获得任意传输距离处的光斑解析式，精确预测了声光偏转器对飞秒激光的光斑展宽，并揭示了光斑展宽的物理机制。

By adopting the asymptotic expansion method, the higher order partial differential equation was transformed into the system of ordinary differential equations.

采用渐近展开法，将该控制方程——高阶偏微分方程转化为常微分方程组，求解该方程组获得应力函数，进而得到功能梯度材料中裂纹尖端应力高阶渐近场的解析式。

Due to the introduction of IP curves, the method detects the symmetry and axis of objects by using the expressions of function instead of using the optimization method. Consequently, the computational cost of the method is low.

由于是基于隐含多项式曲线进行对称性检测，因而并不需要复杂的优化算法，仅用明确的解析式即可验证对称性并检测出相应的对称轴。

Finite-time thermodynamics was applied to analyze the characteristic of the cycle dimensionless power output the efficiency and the optimal intercooling pressure ratio of an irreversible closed intercooling regenerated Brayton cycle coupled to constant-temperature heat source.

用有限时间热力学方法首次研究了恒温热源条件下不可逆闭式中冷回热燃气轮机循环的功率、效率以及中间压比特性，导出了无因次功率及效率的解析式。

On the basis of kinematic analysis of beam pumping unit,the general dynamics equation in the form of virtual power was applied to analyze the contribution of every part including balancing weight of a beam pumping unit to crank axle torque in consideration of inertia effects. The exact analytical expression for computing crank axle torque was obtained.

根据抽油机各处在任一瞬时所受的主动力和虚加的惯性力在任一虚速度上所作的元功率之和等于零的原理，考虑惯性的影响，应用虚功率形式的动力学普遍方程，对游梁式抽油机各部件对曲柄输出轴扭矩的贡献进行了分析，得到了曲柄输出轴扭矩的精确解析式。

Considering the complex function relationships among flux leakage factors, interval mathematics was used to optimize design for permanent magnet retarder.

以优化设计和减少漏磁为目标，运用磁路分析法建立永磁式缓速器的漏磁场模型，得到设计参数的解析式。

Meanwhile, the analytical expression of coil impedance increment is also obtained.

在此基础上，导出了球和空芯圆柱线圈共轴电磁系统的电磁场解析解和线圈的阻抗增量解析式。

With an analytic method, transport capacity of concentrated flow in eroding rills onloess slope was derived from the funct...

将由解析方法计算求得的水流输沙能力与由试验数据直接估算出来的结果进行了对比，验证了该解析式的合理性。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失