bit of a dated post but something I am curious about. I watched Terence Howard's first appearance on Joe Rogan and found it mostly funny but something he pointed out did pique my interest.

the root of his issues with basic math seem to stem from a fundamental misunderstanding (or dislike?) of 2 things in particular:

1. that any number multiplied by a fraction results in a smaller number (basically he struggles a lot with logic of fractional math) and
2. the fact that for x where 0<x<2 , that x² < x*2 when he is apparently under the notion that x² should always be bigger than x*2 and to him, the fact that that isn't the case for 0<x<2 is evidence of some big mystery or conspiracy

but it did make me wonder if there's a certain name or property given to the numbers where 0<x<2 to note the fact the fact that for those numbers, x² < x*2?

Curious if there are movements within the governance or research pertaining to the field that act to promote or suppress certain ideas? Was watching the “Infinity explained in 5 different levels” and thought… maybe there are trends for or against interpretations and/or abstractions that get a rise in people…

So, I just listened to a This American Life podcast called Ghost in the Machine. In one of the stories, a man decides to calculate, every week, the Average Family Location of his family. By that, he means: once you add everyone's coordinates for every coordinate in which they've been in that period, what city/location represents the average point between them all?

I decided to do the same for my family, which will be much easier because there are no touring musicians among us. The one complication is that a good chunk of the family is on other continents, and I wouldn't want us to "meet" in the middle of the ocean. So some approximation might be warranted.

I'd be happy if someone could provide me the math, I'm fairly confident I would be able to do it with a calculator or maybe put into some crude Python. I don't think I need to make a weekly report, since we're not that mobile. Maybe twice a year, or once every two months.

Thanks!

Edit: I don't know much math

Edit2: holy shit this is not simple at all! Now I feel kinda bad for throwing this problem at you guys. I really thought it would be quick and easy!

So, my 5-year-old nephew is obsessed with huge numbers, especially named numbers such as googol, duodecillion, and centillion. The other day I spent some time reciting these numbers to him, and trying (and failing) to describe them. What I need are some cool facts about these numbers, such as "there are 1 quadrillion cat hairs in the world", or "there are not enough stars in the universe to fill one googol".

Besides math, his main interests are super-heroes and, apparently, cars.

I'm not a math or physics guy, so hopefully you guys can help me cheat :P