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seen Mar 26 at 6:59

Mar
6
awarded  Tumbleweed
Mar
1
revised How to handle “positive difference or zero”?
added 209 characters in body; edited tags
Mar
1
revised How to handle “positive difference or zero”?
my bad, MathJaX for math.se not TeX The World for Chromium
Feb
27
asked How to handle “positive difference or zero”?
Feb
22
awarded  Yearling
Nov
16
awarded  Benefactor
Nov
9
comment Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
We might think it's equally sensible to define the special case $0^0$ as $0$, but the mathematical convention for that is indeed $0^0 = 1$ in accord with the explanation above.
Nov
9
revised Is there a rational way to conceptualize an irrational number?
I had reversed the footnotes (links)? Fixed.
Nov
9
comment What are the most overpowered theorems in mathematics?
"The Axiom of Choice is obviously true; the Well Ordering Principle is obviously false; and who can tell about Zorn's lemma?" — Jerry Bona. I like how that joke sums up intuitions (rather than logic) regarding the Axiom of Choice and Zorn's Lemma.
Nov
9
awarded  Promoter
Nov
9
comment We know the dimension of the Koch snowflake's perimeter, but does it have a measure?
It has a positive and finite Hausdorff measure, am I right? I haven't carefully read and thought through what Hausdorff measure is all about.
Nov
9
comment How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
Horrible, yes. But logically, what's wrong with questioning the mathematical model that pairs integers with pigs? They can indeed literally disintegrate.
Oct
28
comment We know the dimension of the Koch snowflake's perimeter, but does it have a measure?
Relevant I think? So, it is quite difficult indeed? dx.doi.org/10.1016/j.amc.2007.01.046
Oct
28
revised We know the dimension of the Koch snowflake's perimeter, but does it have a measure?
Oops I meant the third vertex - clearly a triangle's sides, let alone its interior, contain infinitely many points.
Oct
28
asked We know the dimension of the Koch snowflake's perimeter, but does it have a measure?
Oct
28
revised How is a system of axioms different from a system of beliefs?
Mention that although counting isn't as factual as it may seem, counting isn't broken either.
Oct
28
answered How is a system of axioms different from a system of beliefs?
Aug
5
comment Find the smallest $n$ such that the digits in $2^n$ have every digit from $1$ to $9$
Is there a standard definition of "brute force"? Maybe we can claim that there's something clever about doubling decimal digits rather than multiplying them by any other constant. Doubling 1024 obviously produces another number with four distinct digits because 0,1,2,and 4 are all in the lower half of the decimal digits.
Aug
1
comment Is it fair to say that Kepler's equation involves squaring the circle?
There is much pleasure to be had with such things. If your interest takes you in this direction and you haven't yet looked at these particular points, you may also wish to study 1. the conditions under which it is impossible to square the circle and 2. the interesting proof that it is impossible. Beyond that, from the book Mathematical Cranks I learned that there are some who venture into solving the classic impossibilities and later display serious mental illness. That's not a diagnosis and I'm not a doctor. But if I spent tons of time on this hobby, I hope I'd discuss it with a therapist.
May
22
awarded  Quorum