There is a four dimensional set of which the Mandelbrot set and Julia sets are both slices.

You would also have to double the debt of everyone in debt. Students might be quite annoyed, but not nearly as much as Alex Jones.

Fewer turns but one more Bend.

Well the ADA only requires 'reasonable' accommodations. So I guess the logic of this case would be that if the substitution only costs a little bit more than the original ingredient then they should offer it at the same price. But this would still allow for business to charge extra when making the substitution would be 'unreasonably' expensive.

I don't know how it is in other countries, but here in the UK we still have light sockets rated for the older incandescent bulbs that needed around 60W. But LEDs are much more efficient. Sometimes you see LED bulbs with absurd things like '5W = 60W' written on them, meaning that it actually uses 5W, but it's as bright as an old 60W bulb. You basically don't need to worry about the safety limit of the socket, since the LEDs are way under it. Of course since the socket is rated for 60W you could plug in a 60W LED, which would be as bright as an 720W incandescent bulb.

Which I suspect is what this person did to their poor fridge.

No, I don't think Frodo ever does tell him to jump.

More relevant is that Gollum swore an oath by the Ring not to harm Frodo, and Frodo warns him thay the Ring will hold him to his word cruelly. Then when Gollum does betray Frodo, Bam! Straight in the lava.

As time went on, people began to notice that Frodo also showed signs of good 'preservation': outwardly he retained the appearance of a robust and energetic hobbit just out of his tweens. 'Some folk have all the luck,' they said; but it was not until Frodo approached the usually more sober age of fifty that they began to think it queer.

They just took away all his good lines. Imagine movie Frodo laying down the law to Gollum:

In the last need, Sméagol, I should put on the Precious; and the Precious mastered you long ago. If I, wearing it, were to command you, you would obey, even if it were to leap from a precipice or to cast yourself into the fire. And such would be my command. So have a care, Sméagol!

I think if they had gone with the wise and courageous Frodo from the books then Elijah Wood would have been better at delivering this sort of line than Martin Freeman.

The UK quite often sees words switch around in how posh they are. This is because most people want to sound posher than they really are, while the actual posh people have nothing to prove and want to seem down-to-earth. See U and non-U English.