Philip Alawonde

Enthusiast of mathematics

[Philip Alawonde @Allawonder]

@H0H0v Obviously the solution cannot be R, and for the same reason neither can it be empty. It cannot contain an unbounded interval since LHS tends to 0 as |x| tends to ∞. By checking the endpoints of the last two intervals we can eliminate one of the remaining possibilities.

[Philip Alawonde @Allawonder]

@npparikh I think this depends on what "understand fields are" means. Given that the usual fields used are R and C, and most people are familiar with the former (if not the latter), pretty any such person can understand linear algebra (over, say, R) without doing a formal study of R.

[Philip Alawonde @Allawonder]

@microfusio91945 ±2√2 and 8/(2±√2) respectively.

[Philip Alawonde @Allawonder]

@thatdudeakshay Apply the law of the mean on any finite interval. You then see thar f is contractible, and so has a fixed point.

[Philip Alawonde @Allawonder]

@XYHan_ Duh. He obviously meant professional (or "pure") mathematician. The others he mentioned are primarily users of mathematics rather than studiers of it, and there is nothing hidden about all that, if you're not reading any connotations into it.

[Philip Alawonde @Allawonder]

@Curi_Christian Bold of you to assume that "love" as used there is a passion (according to CT).

[Philip Alawonde @Allawonder]

@lcamtuf LOL!

[Philip Alawonde @Allawonder]

@AnalysisFact PS. Without these the approximation is hardly useful (or meaningful for that matter!)

[Philip Alawonde @Allawonder]

@AnalysisFact Error estimates?

[Philip Alawonde @Allawonder]

@MTomasson @miniapeur PS. Yes, I understood it was meant to be a joke, but shouldn't jokes have a good foundation too?

[Philip Alawonde @Allawonder]

@MTomasson @miniapeur Note that it is not just about notation (I did not mean you should call the derivative something else, but to not introduce it at all, by focusing instead on the differential -- this is conceptual, not merely notational).

[Philip Alawonde @Allawonder]

If the author is just discovering this, then it is even more curious that this Society's publishers appear to also be discovering this for the first time, which raises several curious qiestions, SMH!

[Philip Alawonde @Allawonder]

This sounds ridiculous (epsecially if frame 2 in the attached image is really what the claim is based upon), like the author is only now just discovering the well-known fact since the 19th century that complex numbers are just pairs of reals with some extra flavour...SMH!

[American Physical Society @APSphysics]

Complex numbers have long seemed essential to #QuantumMechanics — but a paper in @PhysRevLett argues they may not be. By reformulating quantum theory using only real numbers, the authors show it can make the same experimentally-testable predictions: https://t.co/RXjoNDr6ti

[Philip Alawonde @Allawonder]

@miniapeur @MTomasson Again doable, since you can instead emphasise the differential without mentioning the derivative at all. Again it might look like much ado for nothing if by calculus you mean for functions from R to R.

[Philip Alawonde @Allawonder]

@miniapeur Doable, but would probably be tedious to deal with by contemporary standards. Many of the older books on this subject (or at least as much of it as was understood then) did not use matrices.

[Philip Alawonde @Allawonder]

@mathemetica "...of a *differentiable* function..."

[Philip Alawonde @Allawonder]

@Math_files Why does this sound like a post from pre-2014?

[Philip Alawonde @Allawonder]

@SridharSaatvik Continue on in your mathematical explorations long enough and you would revise the above statement.

[Philip Alawonde @Allawonder]

:)

[Philip Alawonde @Allawonder]

@thessalyblue Make your favourite library your second home.