讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
在优化过程中采用了偏差平方积分(ise)的优化指标。
During the optimization process, the index with the integral of the squared error (ISE) was adopted.
大系统的模型最优简化的积分平方误差法，至今仅仅对输入函数为脉冲、幂函数和正弦函数时有效。
For optimal model - reduction of large scale systems, up to now, the integral-square - error method has been developed for systems with impulse, power or sine function inputs only.
通过引入参数周期自适应律，设计出的自适应控制策略，使跟踪误差平方在一个周期上的积分范数渐近收敛于零。
A periodic mixed adaptive law and an adaptive repetitive learning control one are constructed to ensure the asymptotic convergence of the tracking error in the sense of square error norm.
提出一种满足平方误差积分(ise)最小的闭环反馈稳定PID调节器遗传优化设计方法。
A genetic optimization method of closed loop feedback stabilizing PID regulator with minimal ISE is proposed.
对连续的平方可积强鞅的混合积分的四个基本性质推广到对连续的正交增量鞅的混合积分的情形。
The four basic properties of mixed integrals for the continuous square integrable strong martingales are applied further to continuous martingales with orthogonal increments.
研究了二参数正交增量鞅的平方变差和混合积分，证明了平方变差的存在定理。
The quadratic variation and mixed integrals of the martingales with orthogonal increments are studied. The theorem for the existence of quadratic variation is proved.
在这个意义上，是最小平方误差的积分的第一学习确定的最佳的学习增益，从而选择学习增益的目的是明确的。
The optimum of the learning gains is determined in the sense that the integral of square error of the first learning is minimal, thus the aim of choosing learning gains is clear.
结果表明，按平方误差积分准则对溢流阀进行优化，不仅能够提高溢流阀的稳定性，同时还能够改善其响应快速性。
The analyzing result shows that the optimization of structure parameters of relief valve can increase the operating steady of valve and improve its speed of response.
结果表明，按平方误差积分准则对溢流阀进行优化，不仅能够提高溢流阀的稳定性，同时还能够改善其响应快速性。
The analyzing result shows that the optimization of structure parameters of relief valve can increase the operating steady of valve and improve its speed of response.
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