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Jun
24
comment Translate a German paper by Hilbert
@amWhy It's five light pages. There's no harm in throwing out a request.
Jun
24
comment Axioms of Euclid
@ArghyaChakraborty The difficulty is that Euclid's axioms are formulated in common english and are therefore vague. The whole problem just isn't precise enough to be given a precise mathematical treatment.
Jun
24
revised Express the area of a circle as a function of $x$
edited tags
Jun
23
comment History of $p$-adic numbers
Thanks! I don't understand that last reference - is "Charlemagne and his Heritage" the name of a book which includes a paper called "The genesis of Hensel's p-adic Numbers"?
Jun
23
asked History of $p$-adic numbers
Jun
22
comment Daily exercises to speed up my mental calculations?
@afedder Only a little bit. You need maybe half your times tables, and being able to recognize $10-n$ at a glance for any $1\leq n\leq 9$.
Jun
22
comment Daily exercises to speed up my mental calculations?
The key to fast mental calculation is numerical fluency, not just practice and having memorized tables and algorithms. I'm competent at mental multiplication because I can visualize grouping objects, and moving along the number line in my head as I do so, not because I know my times tables. So for example, your point (3) is irrelevant. If you are "forgetting" how to do something, that implies you've memorized it without intuitively understanding it, meaning it was useless to you to begin with.
Jun
22
revised Is the set discrete?
edited tags
Jun
21
comment What is that curve that appears when I use $\ln$ on Pascal's triangle?
Roughly speaking, you're looking at the level curves of $\ln({y\choose x})$.
Jun
21
comment Motivation Behind Tschirnhaus Transformation and Cardano's Formula
@Damien What do you mean by the "motivation" for the change of variable $t = y - a/3$? Do you mean (1) why do we want to eliminate the quadratic term, or (2) how do we know that that substitution will do that?
Jun
21
revised An unsolvable Number Theory Question
deleted 67 characters in body
Jun
20
accepted Where am I going wrong in this Gram-Schmidt calculation?
Jun
20
comment Where am I going wrong in this Gram-Schmidt calculation?
Once to normalize $a_1$, and once again to cancel out the factor of $||a_1||$ from the scalar product?
Jun
20
answered Is this polynomial irreducible in $\mathbb{Q}$?
Jun
20
revised Where am I going wrong in this Gram-Schmidt calculation?
added 12 characters in body
Jun
20
asked Where am I going wrong in this Gram-Schmidt calculation?
Jun
20
comment $\infty + \infty = \infty$?
Excuse me, but $\infty + \infty = \pi$. At least under my notation. But how are you defining the symbol $\infty$?
Jun
20
reviewed Approve suggested edit on Derivative of rational function help.
Jun
20
comment Completion of a metric space vs. field extension
For point (2), note that $\mathbb R$ is not an algebraic extension of $\mathbb Q$.
Jun
20
comment Completion of a metric space vs. field extension
Of course not, because the metric need not have anything to do with the field. As far as the metric is concerned, $F$ is just a set. Things might get interesting if the field operations are required to be continuous for the metric.