6:11 AM
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$\textbf{Proposal}:\;$ Create the tag Dot-product There is a tag for cross-product, but not one for dot-product. There is a tag for inner-product-space, but that is more abstract than the usual dot product for $\mathbb R^n$.
6:32 AM
Posts where the tag dot-product was added/removed (including the editors): data.stackexchange.com/math/query/1105163/… data.stackexchange.com/math/query/1038474/…
The above queries returned only one post where the tag was added (and then removed) back in 2013: math.stackexchange.com/posts/331604/revisions
Are there really enough (unique) good questions about the dot product to justify a tag for it? — Alexander Gruber ♦ 5 hours ago
There are some identities which deal with bot cross-product and dot product: math.stackexchange.com/…
@AlexanderGruber I have added a few random examples in the tagging chatroom. Maybe somebody is able to find more of them - and looking at some of those question might help in deciding whether a separate tag for dot product would be suitable. — Martin Sleziak 10 secs ago
7:15 AM
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used. It is often called "the" inner product (or rarely projection product) of Euclidean space, even though it is not the only inner product that can be defined on Euclidean space (see Inner product space for more).
Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences...
6 hours later…
12:55 PM
As a the dot product is a special case of an inner product, I am disinclined to have a dot-product tag.
However, I am more than happy to add language to the inner-product-space tag description which discusses the dot product, then making the dot-product tag a synonym.
1:18 PM
I just made some edits to the inner-product-space tag, in anticipation of creating a dot-product synonym. I am going to hold off on the synonym until there is more feedback. I would also appreciate feedback on the tag wiki edits.
4 hours later…
5:08 PM
@MartinSleziak The tag topology was removed there: math.stackexchange.com/posts/3971935/revisions But two other questions with this tag appeard in the meantime.
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I'm struggling with a problem about determining if an Uncountable Fort Space is Tychonoff or not, at this moment I have proven that my space is regular Hausdorff but I can't find a Urysohn Function for the space in question. Any hint or tip is welcome :)
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Q: Suppose that X is a compact Hausdorff space. Show that if A ⊆ X is compact, then A is closed in X.
Suppose that X is a compact Hausdorff space. Show that if A ⊆ X is compact, then A is closed in X.
I have edited the tags on those two questions: math.stackexchange.com/posts/3973471/revisions math.stackexchange.com/posts/3973320/revisions
1 hour later…
6:41 PM
specific-question When I looked at the above question, I noticed that this one did not have compactness tag: How to prove that a compact set in a Hausdorff topological space is closed? I have added also separation-axioms, although in that case I was less sure whether it is needed there. (But the Hausdorff condition is important here, so probably yes.)
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