导函数

In this paper,the existence of commmon Borel point of algebroidal function and its derivatives in the unit disc is proved.

证明了单位圆内代数体函数及其导函数至少存在一个公共Borel点，结果和Valiron在1928年提出的关于亚纯函数及其导数是否存在公共Borel方向这一问题是相关的。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

On the basis of method of derivative on the left and the right of separable function,the derivability of separable function on demarcation point was simply distinguished,and derivative continuity on demarcation point discussed.

运用研究分段函数的导函数的左、右极限的方法，简便地判明分段函数在分界点处的可导性；同时讨论了分界点处导数的连续

The course contents include: basic concept of Mathematics, functions, linear functions, limits, differentiation, applications of the derivative, antidifferentiation, indefinite integral

课程内容包括数学概念的复习，函数，斜率，极限，导函数，不定积分，定积分，对数函数与指数函数的微分与积分等单元的介绍与应用。"，"

In chapter three, we study the uniqueness of meromorphic function and its derivative, and obtain the following result: There exists a set S with 6(4) elements such that any nonconstant meromorphic function f and its derivative f' satisfying E=E must be identical.

在第三章中，我们讨论了涉及导函数的唯一性问题，得到了下述结果：存在一个集合 S含有 6(4)元素，对于任意一个非常数亚纯函数f 及其导函数 f'，若 E=E，则f=f'。

The subjects include :(1) Limits and continuity,(2) The derivative,(3) The applications of derivative,(4) Partial derivative,(5) Infinite series,(6) Integration,(7) The technique of integral,(8) The applications of integration,(9) Multiple integrals.

主要课程包含有：(1)极限与连续，(2)导函数，(3)导函数的应用，(4)偏导函数，(5)无穷级数，(6)积分，(7)积分的技巧，(8)积分的应用，(9)重积分。

In addition, for any f ∈ H〓 or H〓, the Sobolev space, the approximations of f , f′ and f are disscussed by means of the obtained sampling theorem.

另外，也给出Sobolev空间H〓和H〓中的函数、一阶导函数及二阶导函数的逼近表示。

In mathematics the smoothing of a function is often measured with the continuity, or nth deriv-ation, of the function, and the more precise measurement is the Lipschitz exponent of afunction.

函数在某点的光滑程度可用其在这点的连续性和各阶导数描述，但更细致的描述是用函数在这点的Lipschitz指数来刻划的，而函数在一个区间上的光滑性则可以用函数的一致连续和导函数来考察，更精确的是用一致Lipschitz指数来考虑。

By using the definition of equidiffrential,a sufficient condition of commutating order in connection with the limit and derivation of a sequence of diffrential function is obtained.

利用等度可导的概念代替较强的函数列的导函数是一致收敛的条件，得到了极限运算与求导运算可以交换的一个充分条件。

By using the concept of iterated order,we investigate the Borel direction of the derived functions of meromorphic functions with iterated order.

利用亚纯函数的迭代级的概念，研究了迭代级亚纯函数导函数的Borel方向。

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。