597 reputation
412
bio website orderofthehammer.com
location Sheffield, United Kingdom
age 28
visits member for 2 years, 6 months
seen Aug 7 at 14:13

Jul
2
awarded  Curious
Jun
30
accepted Is it true that “there is no such thing as the square root of minus one”?
Jun
25
asked Is it true that “there is no such thing as the square root of minus one”?
Apr
16
comment “Here's a cool problem”: a collection of short questions with clever solutions
@Steven, that is one way to do it. You might also consider this diagram: junk.orderofthehammer.com/j2014/floor-tiling-puzzle-hint.png
Mar
28
comment A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$
Yes, I understood. Are you assuming that $b$ is an integer in your first step (comparison with $g$)? I suppose (writing $b = c/d$) it is possible to find $\lfloor c\sqrt{2}\rfloor$ and then divide by $d$ and correct for any error introduced.
Mar
28
accepted A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$
Mar
27
answered Finding a coefficient of $x^6$ in the expansion $(x-1)^5 (x+1)^5$
Mar
26
comment A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$
This is some great advice, thank you. Having the method related to the Pell numbers is interesting. I will leave off accepting for a little longer but will probably accept this answer.
Mar
26
answered Is there a solution to this Seating Plan problem?
Mar
26
answered “Here's a cool problem”: a collection of short questions with clever solutions
Mar
26
comment A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$
Bill, I had not. I see that one might potentially approach the problem by applying one of the square root algorithms on that page (maybe the "Babylonian method") to calculate a series of approximate square roots of $2b^2$, which when it has converged on the square root to within an integer gives a candidate for $\lfloor b\sqrt{2}\rfloor$ which should not be far off the correct answer.
Mar
26
asked A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$
Jan
29
awarded  Yearling
Jan
3
asked Is there anything interesting about this figure constructed from a set of points and their barycentre?
Dec
3
awarded  Taxonomist
Nov
28
comment Formality and mathematics
"Rigor is used for checking the correctness of the finished product, not for creating it in the first place." This is good.
Nov
28
asked What can I use as the generic term for “a function that is composed with another”?
Nov
6
awarded  Popular Question
Oct
1
comment What are the arguments of a string concatenation called?
You could call them the "preconcatenand" and "postconcatenand" (possibly hyphenating). This is inspired by matrix multiplication (which is also in general non-commutative), wherein we talk about "pre-multiplying" and "post-multiplying" by a matrix.
Sep
26
accepted What do we call the state of being proper?