Because of the remote era and deficient knowledge, the people lived in ancient times believed that the rainbow was dragon with two heads on the basis of their imagination.

由于时代的久远和知识的匮乏，先民基于对虹的想像认为虹是双首龙，先民观念中的虹与远古龙蛇类动物图腾崇拜有着密切的关系。

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Many paradoxes result from deficient knowledge of the infinite.

人类对无限认识的不足，是许多悖论产生的重要原因；

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Indeed, the SEC did not allege that they acted with actual knowledge, only that their audits were grossly deficient.

FORBES: The Grand Illusion: PwC Settles Satyam U.S. Class Action Claims