Hey neighbor!
A quick follow up on this math one to find the PIN. Why run this as a PIN transaction? Just swipe and purchase since it clearly shows that it is a Visa.
This has bothered me the entire time.
Iâd forgotten about all that.
For the record, my comment about @Tall_Paul1 simply meant this. The integral is (by UK standards) undergraduate level and there is (to my mind) a non-trivial step that @Tall_Paul1 sailed through in his first written solution without even feeling the need to give the details. I thought that was pretty impressive, especially for someone who (Iâm assuming) doesnât work out integrals every day and probably hasnât done one in a decade or more.
My beef with @ryan1 was that he appeared to trivialise @Tall_Paul1âs achievement. Though (as is often the case) it may have been that we were talking at cross-purposes. Indeed, I do joke to my own students that weâve all spent the last three hundred years copying Isaac Newtonâs homework. But if math were simply a matter of recall, then weâd all be good at it and I wouldnât endlessly hear from strangers enquiring after my profession âI hated math at schoolâ.
Anyway, letâs change the subject to something less controversial (?!?!) than math.
Harrogate. Itâs nicer than where you live. Sorry.
Are you sure?

Are you saying you donât see the beauty in that?
(SeriouslyâŚthat is an image from Detroit, not actually where I liveâŚand an older one at that.)
It reminds me of Mariupol. Except it has the excuse of being bombed by the Russians.
True, until this year with my daughter taking calculus, so dusted it off a bit. Otherwise, just occasional partial derivative stuff when Iâve had to find a way to calculate measurement uncertainty for some lab instrumentation.
Well, I was impressed. And that was my point.
It is a case of tone being lost in textâŚbut it sounded like you were accusing @Tall_Paul1 of âcheatingâ somehowâŚmeaning, either he was a genius, or he cheated to get the answer. That was why I was questioning what you meant to begin with!
Iâve frequently dusted off my math skills for things up through pre-calcâŚbut once my kids hit Calculus, they were on their own again!
I remember someâŚbut just enough to be dangerous, so I figure they can consult with their classmates or professor if they need help! (AlthoughâŚthey never actually ended up asking me for help, so it was no matter.)
You mean it was a Malamute + Pointer?
Brilliant 
Exactly! 
Do you know any search engines that use Google?

Saving that one!!








