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?
Visualizing $L_2$ or an infinite dimensional Hilbert space
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visualization
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1I 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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0imagine n dimensions and let n = infinity – 2012-09-03
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0I'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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0@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