On 9/12/12 12:23 PM, William Stein wrote:
To me (who prob. implemented this) the asterisk in v*v means "dot product". If you look at the code, you'll see it starts:if have_same_parent(left, right): return (<Vector>left)._dot_product_(<Vector>right) There is a completely different method called "inner_product": sage: v.inner_product(v) This definition of dot product in Wikipedia makes it crystal clear that many people would not count the Hermitian inner product as the dot product: "In mathematics, the dot product, or scalar product (or sometimes inner product in the context of Euclidean space), is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors) and returns a single number obtained by multiplying corresponding entries and then summing those products. "
Fair enough. That's convincing to me. I wish there was a nice notation in Sage for v.inner_product(w) that wasn't so cumbersome and wordy, then!
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