A sufficient condition about extreme value of multivariate functions was given, and according elementary transformation of matrix, established a convenient judgement method for extreme value of multivariate functions, finally an example was given.
给出了 n元函数极值的一个充分条件 ,并结合矩阵的初等变换建立了 n元函数极值的一种快速判别法 ,最后给出了一个例
Hesse Matrix of Sufficient Condition for Extrema of n-variable implicit function;
判定n元隐函数取极值的充分条件Hesse矩阵
With the help of the solid quadratic type theory and the broad converse of matrix,the author offers the full and essential conditions of the maximum and the minimum in the quadratic functions with n unknowns and supplies the solutions to the maximum and the minimum.
利用实二次型理论和矩阵的广义逆给出了n元二次函数存在最大或最小值的充分必要条件 ,以及最值点和最值的计算方法 。
It defines n-ple derivative,n-ary absolutely continuous function,generalized n-ple primitive function and Newton n-ple integral.
定义了n重导数 ,n元绝对连续函数 ,广义n重原函数及牛顿n重积分 。
Hesse Matrix of Sufficient Condition for Extrema of n-variable implicit function;
判定n元隐函数取极值的充分条件Hesse矩阵
Solving Derivation Problem of Power Exponential Function of N Variables from the Point of View of the Function of Many Variables;
从多元函数的角度解决n元幂指函数的求导
The Calculation for the Cost Function of Channel Capacity of N Strong Symmetric Channel
N元强对称信道的信道容量代价函数计算
ON THE FUNCTIONAL EQUATION ψ(n~(x+y))=n~xψ(n~y)+n~yψ(n~x);
关于函数方程ψ(n~(x+y))=n~xψ(n~y)+n~yψ(n~x)
implicit differentiation
隐函数微分，隐微分法
On the arithmetic functional equation φ(n)=s(n~7)
关于数论函数方程φ(n)=s(n~7)
Sufficient Demonstration about Extremum of n－ variate multinomial Function;
n元多项式函数极值存在充分条件的一种简易证明
an average of n numbers computed by adding some function of the numbers and dividing by some function of n.
n数目的平均数值:将这些数目的一个函数和除以n的一个函数。
Two variable operator-valued functions in Mikusinski operators
Mikusinski二元算符函数
Construction of Generalized Multivariate Interpolating Refinable Function Vectors and Wavelets Applications in Grayscale Image Hiding Techniques;
多元插值型可加细函数的构造与小波在图像隐藏技术中的应用
existence theorem of implicit function
隐函数的存在性定理
The McShane and Henstock Integrals of Fuzzy-Number-Valued Functions in n Dimensions;
n维模糊数值函数的McShane积分和Henstock积分
On the Function of Sequence of Functions{x~n}in the Analytical Mathematics;
函数列{x~n}在分析数学中的作用
On an Open Problem of the Arithmatic Function δ(n);
关于数论函数δ(n)的一个公开问题
Mean Value of the Square Root Sequence and Arithmetical Function U(n)
平方根序列和数论函数U（n）的均值
Mermorphic functions concerning their n-th derivative sharing two values with weight
亚纯函数及其n阶导数权分担两个值
The Quadratic And Cubic Means for Numbers and Functions of the Base n
n进制中数字和函数的二次、三次均值
The(m,n,ρ) Order of Algebroid Functions without Singular Direction
无奇异方向的(m,n,ρ)级代数体函数