1·The idea of The Matrix is explicitly built upon Cartesian— Descartes' worries about an evil demon.
《黑客帝国》的创意完全基于笛卡尔的哲学——笛卡尔对于恶灵的忧虑。
2·They are related to the orthonormal Cartesian vectors.
它们与标准正交笛卡尔向量相关。
3·In fact, in Cartesian ontology there are only three kinds of substance: mind, matter and God.
其实在笛卡尔的本体论中，世界上只有三种实体：心灵、物质和上帝。
4·There're also some major problems for Cartesian dualism, one of them a famous problem uh, how can two such distinct substances interact at all.
对于笛卡尔的二元论来说还有几个主要问题，其中一个非常著名，是关于两个不同物质是如何互动的。
5·Each data point or cell of a cube is the Cartesian product of members of its dimensions.
一个立方体的每个数据点或单元是它的维成员的笛卡尔乘积。