引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
边界型求积公式正是仅仅利用被积函数在区域边界上的数值构造的公式。
The boundary type cubature is quite the type of formulae that only use numerical values on the boundary of the domain.
确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。
There are two difficult points in convolution integral: how to determine the limit of the integral, and the integrands on the convolution integral.
该方法利用半球谐基函数对入射光线正交化，利用两个半球上的笛卡儿积来定义物体表面的双向反射率分布函数。
This method USES the hemispherical harmonics basis to represent incoming radiance and USES the Cartesian product of two hemispheres to define the BRDFs.
在此基础上，提出了更好的满足这些性能的小指数点积核函数，并将应用到主分量分析中。
Base on these, we propose a kernel function include fractional inner-product model which is better fulfill these properties, and apply it to kernel principle component analysis.
在此基础上，提出了更好的满足这些性能的小指数点积核函数，并将应用到主分量分析中。
Base on these, we propose a kernel function include fractional inner-product model which is better fulfill these properties, and apply it to kernel principle component analysis.
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