基本解释：上函数
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According to the character of expected information, the article proposed a new ID3 algorithm of decision trees to reduce the complexity of computing expected information by the convex function.根据ID3算法中信息增益计算原理的特点,利用上凸函数的性质提出一种新的改进的ID3算法,减少了信息增益的计算量,进而提高ID3算法中信息增益的计算效率。
According to the character of expected information and the quality of convex function,we propose a new algorithm to raise the efficiency of calculating expected information in the process of inducing the decision trees.针对决策树分类方法的计算效率进行深入研究,根据信息增益计算的特点,引入了上凸函数的概念,用于提高决策树分类过程中信息增益的计算效率。
Aiming at some questions about area minimum,this paper introduces some ways with the key to the equation "f(x)-f(b)+(x-a)f (x)=0" and the concept of the convex function on interval.针对一类面积最小值问题,利用方程(fx)-(fb)+(x-a)f′(x)=0的解以及函数在[a,b]区间内的上凸函数的概念,给出了这类问题的求解方法。
Local Search Algorithms and Performance Guarantees for Minimizing Supermodular Function Subject to a Cardidity Constraint;求解基约束下上模函数最小值的局部搜索算法及其性能保证
Thus the value of the function at any grid point is the average of its values at the immediately neighboring points.因此，任一结点上的函数值就等于其直接邻点上函数值的平均。
One-to-one onto function is also called bijection.一对一到上函数称为双映射。
ordinary upper derivative of a set function集函数的寻常上导数
Theorem 2 If is continuous on the closed interval ,then = is an antiderivative of on .如果函数在区间上连续,则函数=就是在上的一个原函数.
To plot(a function)on a graph.将（一个函数）绘制在图上
On the Continual Function of Lipschitz in the Interval;在区间上Lipschitz连续的函数
Application of Generalization Principle in Proving Constant Functions;归结原则在证明函数为常量函数上的应用
The Continuation Problem of Continuous Function and Uniformly Continuous Function in Sets;集上的连续函数及一致连续函数的延拓问题
Difference of Integrations of Broad Meaning between One Function and Plural Function;一元函数与多元函数在广义积分上的差异
Relationship between Generalized Partially Bent Functions and Generalized Bent Functions over Finite Fields有限域上广义部分Bent函数与广义Bent函数的关系
Ulam Stability of Quadratic Functional Equation in the Space of Distributions二次函数方程在广义函数空间上的Ulam型稳定性
Applications of Stability of Quadratic Functional Equation in Generalized Function广义函数在函数方程稳定性问题上的应用
The Mean Value of Arithmetic Function on Special Sequencs关于一些特殊数列上数论函数的均值
General Form of Bounded Linear Functionals on Kthe Function Space;Kthe函数空间上有界线性泛函的一般形式
Cannot use the '%ls' function on a remote data source.无法使用远程数据源上的 ''%1!'' 函数。
On Henstock Integral of Fuzzy-Number-Valued Function in the Plane;平面上模糊数值函数的Henstock积分
The Prime Number Theorem for Automorphic L-functions for GL(m);关于GL（m）上自守L-函数的素数定理
Attribute cannot be used on a class that has constructor and/or destructor属性不能在具有构造函数和/或析构函数的类上使用
