两个FOR循环将生成笛卡儿积，将从该积返回产品名称和单个功能。
The two FOR loops generate a Cartesian product from which the product name and the individual feature are returned.
本文利用线性空间笛卡儿积的思想，给出了关于上述结论的简洁的、严密的逻辑证明。
Given a simple rigorous proof for the theorem by structuring Cartesian product of linear Spaces.
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.
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