I’ve just written a sonnet.:D Ode to Ariel Who is Ariel? What is she? Why has she Trapped me with her charms? Won’t she set me free? Who is...
Feeling bored, I decided to come up with a quatrain in iambic pentameter. The heart, blood circulation’s pumping source, Drives blood along its...
Note: p and q must be distinct for the formula to work. If p = q then \phi(n)=\phi(p^2)=p(p-1). For example, \phi(9)=6 and 9=3^2;\ 6=3(3-1). So if p...
What hell?
This is what I’ve found: If p is an odd prime and \gcd(p,5)=1 then: \displaystyle\left(\frac5p\right)\ =\ \left\{\ 1\ \text{if}\...
“Si Dieu existe, c’est son problème.” (“If God exists, that’s his problem.”) —1960s Parisian graffiti
As I said before we are NOT finding how many solutions X^2\equiv15\,\pmod p there are. We only want to find odd primes p such that there is at least...
Nope. 0^2\equiv15\,\pmod3 and 0^2\equiv15\,\pmod5. Nope. We want to know for which odd primes p there exist integers X such that X^2\equiv15\,\pmod...
Now reading King Solomon’s Mines by H. Rider Haggard.
An ammonite, perhaps?
There once was a man named Jhough Who lived in a place called Whough. When folks scratching their head Asked how they were said, He said:...
All but means “almost”. The search is all but over. = The search is almost over.
It seems that there is a cut-off date before which posts will not be searched by the search engine. I was doing a search on some topics the other...
Would that give you Thai-arrhea? :rolleyes:
Poem on radioactivity: As alpha rays are thrown out from their source, The parent atoms undergo a change; These helium nuclei need little force...
\lim_{x\to0^-}\frac{-1}{x}=+\infty whereas \lim_{x\to0^+}\frac{-1}{x}=-\infty So \frac{-1}{x} goes in different directions depending on which side of...
And \frac{-1}0 does not exist. It is NOT -\infty; it simply does not exist.
That equation is equivalent to 6=5 which is false regardless of the value of P.
The United Kingdom still does.
Yes. :cool:
Separate names with a comma.