可积函数

When the second surface integral is calculated and the integral surface has some coordinate plane symmetry, computation can be simplified according to the integral odevity.

在计算第二型曲面积分时，当积分曲面关于某个坐标面对称时，则可根据被积函数的奇偶性进行化简。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

And we also study the absolute integrability and continuity of fuzzy-number-valued functions in the plane under consideration of different derivate bases.

最后讨论了在不同导数基意义下的模糊数值函数的绝对可积性和连续性问题，完善了非绝对模糊积分理论。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

It is well-known that for f with compact support in [66] Stein proved that: M G ∈~L~1 for any measurable set E of finite measure if and only if f ∈ L ln~+ L.

当f有紧支集时，关于它的极大函数的可积性Stein在[66]有个著名的结果：对任意有限测度集E，M∈L~1当且仅当f∈Lln~+L。

The results show that the stock market returns and volatilities in China have long memory and persistence although they are not as strong as that of American stock market; The memory of Shanghai stock is stronger than that of Shenzhen stock; The autocorrelation function of a fractional integration model can fit the sample autocorrelation much well.

结果表明：中国股市收益率与波动性具有长记忆性，尽管收益率的长记忆性不如美国股市强；上海股市的记忆性明显强于深圳股市；分数可积模型较指数衰减自相关函数能更好地拟合样本的自相关系数

Chapter 4 studies some composition operators between Nevanlinna type classes. Some criteria for C〓 to improve some integrability are given.

第四章研究了不同Nevanlinna型空间之间的复合算子，给出了C〓改善函数某种可积性的一些判据。

By introducing the generatingfunction method,the integrability of FDIHS is proved,which is thesimplest way we know so far.

通过引入母函数方法，较简洁地证明了系统的可积性，包括守恒积分族的对合性与独立性，其中关于对合性的证明是迄今为止最为简洁的证明。

According to our teaching practice,effective applications of some relative calculus background knowledge in teaching are given,such as introduction of real number ,Newton-Leibniz s formula,principle of integrability,meaning of infinite series.

结合教学实践，讨论了实数的引入，Newton-Leibniz公式，无穷级数，函数的可积性准则这几个相关的微积分背景知识在教学中的有效运用。

While in quantum mechanics the state of a system is described by a wave function, which is a non-zero square modulus integrable complex value function defined on the configuration space of the system.

整个世界的运动是决定论的。而在量子力学中每个体系的状态由一个非零的定义在位形空间上模平方可积的复值函数所描写。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。