Both comprehension and understanding can be used to talk about someone's ability to understand something. Your understanding might be that your mother will always drive you to school if you miss the bus. Comprehension usually used with of.
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Or about how something works: Understanding is a relation between the knower and an object of understanding. Knowledge about a subject, situation, etc.
Understanding a concept means you get it.
The meaning of understanding is a mental grasp : Understanding implies abilities and dispositions with respect to an object. How to use understanding in a sentence. He noted bond's apparent lack of.
