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I need to explain abstract objects in an infinite dimensional Hilbert space. What is the best way to visualize it for an engineering audience? Does anybody have a good example?

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    I honestly do not see what is it you expect! :-) Just make pictures on the blackboard and say «and pretend this is happening in an infinite dimensional Hilbert space».2012-09-03
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    imagine n dimensions and let n = infinity2012-09-03
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    I'm unsure that one *should* try to visualize $L_2$. You can have intuition for something without a (very very approximate) visual representation.2012-09-03
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    @AlexBecker Good point. I know it's going to be an approximation. But I wanted to carry as much intuition as possible.2012-09-06

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