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In this article, I don't quite understand the following sentence:
Instead of bothering to sort out that little difficulty, let's see why it is in fact enough to let B be the set of all bilinear functions to R, otherwise known as bilinear forms.
I looked up into the dictionary, but none of the entries can resolve my confusion:
What does "otherwise" mean in this context?
Here, I believe that otherwise is indicating that there is another way to say "bilinear functions". Another way to put the sentence is the following one:
Instead of bothering to sort out that little difficulty, let's see why it is in fact enough to let B be the set of bilinear functions to R, also called bilinear forms.
"Otherwise known as" here is synonymous with "also known as" or "technically known as". The term is being defined in reverse; they are introducing the concept of B as a set of "bilinear functions to R", and then naming this concept. If they had restructured this to use the official name first and then tell you what a bilinear form was, you might not get that far; you'd become confused and flip back to see if you missed something, or think it was over your head and give up.
