Ben Sparks

This is related to:
What type of arguments do trig functions take? (Are they necessarily angles?)
What arguments do hyperbolic functions take?

I'm not sure I am convinced what my answers would be either... But if there are answers then the inverse functions should output those things?

True enough, although if we're allowing 'related to' we have a *lot* of other options too.
Perhaps we should simply rebrand arcsin (or inverse sin etc) as 'angsin', since we use it mainly to give an *angle* (at least at school level).

Excellent, thanks @tombutton.bsky.social

We should also celebrate that arsinh and arcosh translate to actual *areas* too (not arc lengths this time, hence the 'ar' rather than 'arc')

Not in a position to immediately make a dynamic illustration but I'm certain someone can find one soon enough!

Ha. Same search occurred here.

iPhone must have some equivalent?

This article was a simple and helpful idea (caveats: it's for Android phones, and takes a while to get to the simple idea).https://www.howtogeek.com/android-phone-already-has-a-minimal-phone-built-in/
TL;DR - create & use a 'Minimal' user profile which you can switch to when needed.

I enjoyed following your journey. Thanks!
I tried to solve it a different way but interestingly made a very similar slip when calculating 180-166 (in my head it was 16, not 14). Can now confirm there's a similar viable question using angles 165 and 164!

Was actually just wondering if you have anything from the AI/Machine Learning world brewing...
(inspired by your other jobs?).

Enjoyed the Euler Identity vid, nicely done.

This summer term we have four shows for Year 9s/10s:

A MAGICAL GAME SHOW - @sparksmaths.bsky.social
Birmingham 29th June & Cardiff 9th July

MUCH ADO ABOUT NUMBERS - @robeastaway.bsky.social
Liverpool(Prescot) 7th July & Dulwich 10th July

Details here: mathsinspiration.com/much-ado-sum...

Without feeling particularly confident or certain I would suggest a horizontal cross-section and a vertical cross section respectively. Assuming z axis plotted vertically.

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I couldn't find a video deriving the difference of cubes formula from scratch so I made one lol

We got one after some irritation with kids ringing and running off. That stopped immediately. It has also proved useful to check if/where packages get left, and a deterrent to doorstop thefts of packages. Pros and cons still, but on the whole not disappointed with it (nest battery powered version).

People who don't like negative numbers: "I'll stop at nothing to avoid them."

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It feels to me very naive to be surprised by that... but whenever doing anything creative (e.g. writing a song or just as much planning a lesson) I often have to stop over-explaining and remember that a glimpse of a story can provoke more pondering than bullet-pointed list of objectives/ideas.

I haven't read it for years. For all the chat about its pessimism (or optimism) on the human condition, for me it's a reminder that a story can help us think about more than just the story, and it doesn't have to "preach" in black and white, to make you ponder deeper things.

I can't remember exactly when I first read it but I'm guessing as a young teenager (it might have been at school, but don't remember having to do exams on it). Possibly the first seriously uncomfortable book I read, without the narrative-driven-adventure feel of whatever else I'd been consuming.

YouTube video by Numberphile The 15-Game - Numberphile

It's a classic and simple 2 player game. I don't know what other people call it, but I called it the 15 game (not the 15 puzzle, that's something else).
youtu.be/UafhPUOCM1E?...

Here's a possible example of @hughhunt.bsky.social as a guest judge on the cooking show Great British Menu a few years back. They always gave guest judges a few mins to chat about their thing... (Sorry for facebook link)
www.facebook.com/watch/?v=267...

I did the top square 6x6 + 4x1.
I find myself wondering if knowing the answer in advance (by guessing the poster meaning) changes how I'm likely to count.

#HowDidYouCount @triangleman.bsky.social

I still do this (refuse to run outlook other than in browser) but have hit a wall with various work access needing more functionality with teams (but for three different accounts and counting)

See also this horrendous sort of user interface question (which nevertheless has actually slightly improved from previous versions)

The struggle is real.

Hooray!

Worth a reminder that a digital root is equivalent to taking modulo 9. (Prove it)

Should I reply with "convince yourself, then convince a friend, then convince an enemy"?

(But it sounds good to me)

I fear I forgot to actually structure it as your SCG suggestion... But you get the idea.