STUDY OF THE LINEAR DEPENDENCE OF SCALAR-VALUED FUNCTIONS USING THE WRONSKIAN DETERMINANT

I. N. Sergeev

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STUDY OF THE LINEAR DEPENDENCE OF SCALAR-VALUED FUNCTIONS USING THE WRONSKIAN DETERMINANT

机译：用Wronskian行列式研究标量函数的线性相关性

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摘要

A sufficient condition for the linear dependence of functions formulated only in terms of the Wronskian determinant is suggested, which is rather close to a necessary one.

机译：提出了仅根据Wronskian行列式公式表示的函数线性依赖的充分条件，该条件非常接近必要条件。

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《Journal of Mathematical Sciences》 |2010年第6期|945-947|共3页
作者
I. N. Sergeev;
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Moscow State University, Mechanical-Mathematics Faculty, Moscow, Russia;

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专利

1. Relations between the Gramian, the Wronskian, and a third determinant connected with the problem of linear dependence [J] . Curtiss D. R. Bulletin of the American Mathematical Society . 1911,第9期

机译：Gramian，Wronskian和第三个行列式之间的关系与线性相关性问题有关
2. Linear dependence of quotients of analytic functions of several variables with the least subcollection of generalized Wronskians [J] . Walker RA Linear Algebra and its Applications . 2005,第0期

机译：具有广义Wronskians的最小子集的几个变量的解析函数的商的线性相关性
3. On Wronskian Determinant Formulas of the General Hypergeometric Functions [J] . Hironobu KIMURA Tokyo journal of mathematics . 2011,第2期

机译：一般超几何函数的Wronskian行列式公式
4. Zhang dynamics solving scalar-valued time-varying linear inequalities using different activation functions [C] . Zhang Yunong, Li Fen 2011 IEEE 5th International Conference on Cybernetics and Intelligent Systems . 2011

机译：Zhang用不同的激活函数动力学求解标量值时变线性不等式
5. Precision measurements of the magnetic field dependence of the penetration depth in YBCO: An experimental study of the nonlinear Meissner effect. [D] . Bidinosti, Christopher Paul. 2001

机译：YBCO中穿透深度的磁场依赖性的精确测量：非线性Meissner效应的实验研究。
6. LINEAR AND ALGEBRAIC DEPENDENCE OF FUNCTIONS ON COMPACT COMPLEX SPACES WITH SINGULARITIES [O] . S. Bochner 1959

机译：具有奇异性的紧复杂空间上函数的线性和代数依赖
7. Relations between the Gramian, the Wronskian, and a third determinant connected with the problem of linear dependence [O] . D. R. Curtiss 1911

机译：克拉姆人，法兰克的关系与三个决定因素与线性依赖问题相关联
8. LOCAL LINEAR DEPENDENCE AND THE VANISHING OF THE WRONSKIAN [R] . Gary H. Meisters 1960

机译：地方线性依赖与沃桑克人的消亡

STUDY OF THE LINEAR DEPENDENCE OF SCALAR-VALUED FUNCTIONS USING THE WRONSKIAN DETERMINANT

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