there are 10 kind of people : those that know ternary, those that do not, and those that expected the joke to be about binary.
there’s 3 kinds of people, those who can count and those who can’t.
there are 10 kind of people : those that know ternary, those that do not, and those that expected the joke to be about binary.
there’s 3 kinds of people, those who can count and those who can’t.
There are two hard problems in software engineering: cache invalidation, naming things, and off-by-one errors.
This is the bit that is wrong, of course.
The correct answer is closer to 0.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
or 0.3’
It’s a recurring error that many people make.
Interesting to me that I’m sure I was taught to use the above method for indicating a recurring digit (like an apostrophe), but today it is apparently a dot or line above the last digit.
When and where were you taught? I’ve seen probably 80 year old textbooks using the line, so it’s not really recent.
One word: Rechenschiebergenauigkeit
.
I learned the line in high-school in the early 90s, so it’s been around a while.
UK some 50-60 years ago. But I may have misremembered, too. But I never knew about dots or lines and I was taught about recurring numbers. (Maybe it was an informal hangover from when typewriters could not do the dot or line thing above a digit?)
I learned the line over in the 1960s: you are OLD, man!
I don’t think you’re misremembering, I’ve seen it before.
The big problem with it is the ambiguity, so I’m surprised it was taught even that recently.
I went to a very traditional/old-fashioned school (we did Latin FFS!). And at least one maths teacher was as old then as I am now!
(And thanks for confirming I am not losing all my marbles!)
So have the textbooks in Saskatchewan high schools, it seems…
I mean we’ve had a conservative government here for almost 2 decades, of course the schools are underfunded and in crisis!
How do you fit that over the last digit?
Really, really big font?
I see what you did there.
I believe an overline is easier to write and typeset, but some think an overdot is more typographically pleasant. (Or more aesthetically old-fashioned which some think is basically the same thing.)
The trouble with either in the modern world is that while they’re both trivial in manuscript, they’re both a bit of a faff in typescript, and they’re a complete bastard in modern typesetting systems unless that system is specialised. Unicode does not have a DIGIT THREE WITH LINE ABOVE or DIGIT THREE WITH DOT ABOVE, the best they can do is COMBINING LINE ABOVE ̅
or COMBINING DOT ABOVE ̇
, but it’s up to the font to know what to do with it, and most fonts don’t think digits can have diacritics, so they don’t handle them well: 3̅ 3̇
→ 3̅ 3̇, compared to Q̅ Q̇
→ Q̅ Q̇
CSS is better, in that you can specify text-decoration: overline
, but good luck putting that in the Discord comment box. Or you could just use (La)TeX like God Knuth intended.
A while back I ran into hyperreal numbers:
I’m not sure I understand it particularly, but if I interpret them correctly, then
3 1/3 - 3.333. . . . is a hyperreal number.
I’m not sure the player has completely thought through all the possible things the DM could do in response.
How many seconds are there in six weeks?
You might be surprised that the answer is 10!