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a few complex multiplication tables

Major Section: 
Reference
Type of Math Object: 
Data Structure

Mathematics Subject Classification

11B25 no label found

Comments

I have a feeling I've gotten disoriented with these complex multiplication tables, specifically, in the ones in which the operand rows and columns have different numbers. And my analogy to rooms with tables hanging on the walls and lying on the floor, and stuck to the ceiling, might be more confusing than helpful. Let me know, and with a correction where there's actually a mistake.

> I have a feeling I've gotten disoriented with these complex multiplication tables, specifically, in the ones in which the operand rows and columns have different numbers.

The computations look correct to me.

> And my analogy to rooms with tables hanging on the walls and lying on the floor, and stuck to the ceiling, might be more confusing than helpful.

I think I understand what you are trying to do with the analogy, but I am not sure if the analogy is appropriate. You are working in C^2 which, as a real vector space, is four-dimensional. Attempting to use a three dimensional analogy may be misleading. On the other hand, the mental picture that I get from this description is quite entertaining. :-)

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