Competency Exam Question of the Day
"When faced with daunting challenges, do a little every day."
Today's Question

What is the difference between a norm and an inner product? What intuitive quantities do each of these measure? What properties do both quantities have? Could one be considered more general than the other?

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A new question will be selected each day at midnight UTC. You can submit your answer (in markdown) by logging in and typing your answer below the prompt. Questions will be related to electrical engineering for now, but might be subject to change in the future. If you have a particularly good answer to a question, I'll give you kudos or something.

My friend Daniel wanted me to make this feature so that he could study for his doctoral competency exam in electrical engineering.