definite kernels meaning in Chinese

定核

For the given sample points , and matrix formed by covariance function with sample points as parameters , when the number of sample points approaches infinite , it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
对给定的样本点，由样本点为变量的协方差函数构成的矩阵，当样本点个数趋于无穷大时，证明此矩阵谱逼近于积分方程正定核的谱逼近定理。
We proof the covariance function of covariance stationary processes is equivalent with mercer kernel function . that is , the covariance function of covariance stationary processes is a mercer kernel function ; in reverse , for a given mercer kernel function , there exists a covariance stationary processes , and the covariance function corresponded to this covariance stationary processes is the given symmetry positive - definite kernel function . it means that the covariance function is equivalent to symmetry positive - definite kernel function
首先建立了协方差平稳过程的协方差函数与积分方程中对称正定mercer核函数的等价关系，即协方差平稳过程的协方差函数是对称正定mercer核函数，反过来，对给定的对称正定核函数，证明了存在协方差平稳过程，使得此协方差平稳过程对应的协方差函数恰好为给定的对称正定核函数，这说明协方差函数和对称正定核函数是等价的。