Almost:

Lengths are usually reals, and in this case the diagram suggests we can assume that A is the origin wlog (and the sides are badly drawn vectors without a direction)

Next we convert the vectors into lengths using the abs function (root of conjugate multiplication). This gives us lengths of 1 for both.

Finally, we can just use a Euclidean metric to get our other length √2.

Squaring isn’t multiplication by complex conjugate, that’s just mapping a vector to a scalar (the complex | x | function).

I dunno about science, but truth is proof. That just infers that science is various forms of proof, and I’m ok with that as it lets our notion of proof evolve as we do ^_

I was thinking more a binomial proportion test with the available data ;)

Also, yep, “assuming” was a key part of the statement!

Assuming X~B(20,0.5), that gives us a p-value of…

0.00000095367431640625

Time to reject H0!

You just captured the daily life of a UK academic after the catastrophically low recruitment numbers this year.

"My dear, monogamy is an entirely relative concept with no fixed frame of reference!’

I need a pasta of this for when I get asked to man the open day stall on a weekend…

I absolutely don’t use notepad++ as my main IDE… Honest.

I feel personally attacked by this!

“Oh so that’s where my remaining mental health and self esteem are!”

“Humans engaging in tongue combat to determine fitness of mate. Note the closed eyes, scientists believe this is because of how bloody this ritual could become; humans closed their eyes to keep the blood out.”

And they wonder why…

Damn, just saw this after posting the same link XD

“Ok class, remember that after geology we’re going to be doing astronomy”

https://www.youtube.com/watch?v=-dtmRmOHK78

Really neat post, I’d not heard of a few of these (never knew libre office draw could edit pdfs!).

Couple of extra ones:

Note taking and pdf annotation: Xournal++ is amazing, it’s also great to use on larger whiteboard screens. Plug and play support for scribe tablets on both windows and Linux.

Emulation (up to ps1): Mednafen is lightweight and comes with a gui. It also supports recording, though not netplay.

Ebook management/reading: Calibre - allows easy importing and exporting of ebooks to devices, also has a great built in search letting you find DRM free versions of a book.

Heh, I did this once - mostly because 10+ PowerPoint animations really chug the university issue laptops, and I was presenting somewhere new (software is not your friend).

It was really 15 slides with about 20 animation steps on each - the students didn’t seem to hate seeing a set of fully worked maths problems with colour coding linking parts of the question to the resultant equation.

He’s looking up, and seeing the giant rain of sheep labelled “teaching load” and “marking AI generated essays” incoming.

Question sheets in Word - “Hello, and welcome to indent roulette”

Question sheets in LaTeX - “\item{} goes brr”

Resits… So many resits…

Students who I’ve never seen before asking how to pass my course.

Exactly - if you don’t want to date a trans person don’t. If someone conceals it, that’s not an issue with them being trans, that’s an issue with them being dishonest. It’s ok to dislike dishonest people.