countably subadditive function

From this,it is proved that when all the ratios of a subaddtive function defined on the interval(0,+∞) to the value of its variable form a bounded function,the subaddtive function must have supremum and infimum functions,which are homogeneously linear functions.

从这一结果出发证明了,当定义在(0,+∞)上的次可加函数与其自变量之比为有界函数时,次可加函数必存在上下确界函数,并证明了其上下确界函数均为齐次线性函数。

Some properties of a type of concave function that is found to be subaddtive function are also obtained.

利用凸函数定义,给出了一类凸函数的性质,得出了该类函数是超可加函数的结论,以及一类凹函数的性质和该类函数是次可加函数的结论。

countably subadditive function

可数次可加性的函数

The Local Topological Pressure Variational Principle for Sub-additive Potentials

次可加函数列的局部拓扑压变分原理

The Minimax Admissibility of the Estimable Function and the Linear Prediction under Quadratic Loss Fuction;

二次损失下可估函数与线性预测的Minimax可容许性

assessment of additive utility function

可加效用函数的评估

Refinable Function Vectors with Hermite Interpolating Property

具有Hermite插值性质的可加细函数向量

Piecewise Function,Integrability and Existence of Primitive Function

分段函数、函数的可积性与原函数存在性

As aspecial case, the viability of epigraph of a sub-differentiable function is discussed.

最后讨论了次可微函数上图的生存性问题。

infinitely continuously derivable functio

无限次连续可微函数

Additive Evaluation Function in Systems Evaluation and Its Discrimination;

系统评价中的可加性评价函数及其判别

Spreading of Euler Formula on Indifferential Homogeneous Functions;

欧拉公式在不可微齐次函数中的推广

Strong Laws of Large Numbers for Functionals of Countable Nonhomogeneous Markov Chains

可列非齐次马氏链泛函的强大数定律

Every function whose derivative is linear is a quadratic function.

任意一个导数为线性函数的函数都是二次函数。

The Minimax Adimissibility of the Linear Estimator in the Gauss-markov Model under the Quadratic Function;

二次损失下一般Gauss-Markov模型中可估函数的Minimax可容许性

The Decomposition of Function Matrix with Measurable Functions as It s Elements;

元素为可测函数的函数矩阵的分解性质

Some Problems Concerning Function Inlegrability and Primitive Function Existence;

关于函数可积性与原函数存在性问题

Research on Some Problems of Non-Additive Set Functions;

关于非可加集函数的若干问题的研究

The Period Function for Quadratic Integrable Systems with Quartic Orbits

具有四次轨道的二次可积系统的周期函数

If the function is linearly homogeneous it is possible to derive several propositions of interest.

若函数是线性齐次的，可以推导出一些令人感兴趣的命题。