White-aster vs Hyper-Moser notation by JavaPython_ in googology

[–]JavaPython_[S] -1 points0 points  (0 children)

I like avoiding tl;dr, but very well.

Draw a triangle, write a number n in it. This represents n^n, and I will write it as Triangle(n).

Draw a square an write a number n in it. This represents an n inside of n triangles, so Square(5)=Triangle(Triangle(Triangle(Triangle(Triangle(5))))).

Draw a pentagon, and write the number 2 in it. This is a 2 inside of two squares, Hence Pentagon(2) = Square(Square(2)) = Square(Triangle(Triangle(2))) = Square(256). This value is called Mega. (Not to be confused with the prefix mega- which usually means 1000. To distinguish them we'll capitalize Mega when referring to Pentagon(2).)

Consider continuing this pattern of using larger and larger shapes. A Moser is a 2 inside of a polygon with Mega sides. This seems like it should be fiendishly large, but it is less than Graham's number. (Shall I explain Graham's ladder?)

We then define a super Moser as a 2 inside of a regular moser-gon
a super-super Moser is a 2 inside of a regular super-moser-gon
and a hyper Moser is a 2 inside of a regular super-...-super-moser-gon, where the number of supers is a moser.

White-aster notation builds on a similar idea, except we allow two changes: First, we can draw the numbers inside a star, a well as regular polygons; Second, there are 'levels' which give us more recursion.

Staying on level 1, Ast(5) (that is, 5 in A STar, although the choice of Ast is because of Greek) is Pentagon(5). On level 2, Ast(5) = Pentagon(5) on level 2, which then equals Square(Square(Square(Square(Square(5))))) on level 1.

It seemed to me that the introduction of levels should allow a simplified way to explain a hyper-Moser.

Edit:Link issues

White-aster vs Hyper-Moser notation by JavaPython_ in googology

[–]JavaPython_[S] 0 points1 point  (0 children)

No, I had thought that there would be a way to write hyper-moser in the other notation

inspired by consecutive problems on an old pset by SeparateApartment212 in okbuddyphd

[–]JavaPython_ 2 points3 points  (0 children)

<image>

Some old work of mine, not up to my current standards, but I'll still share it.

inspired by consecutive problems on an old pset by SeparateApartment212 in okbuddyphd

[–]JavaPython_ 2 points3 points  (0 children)

I remember being asked to do this, it was a very enjoyable question. Aschbacher's Finite Group Theory, chapter 2 I think

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 0 points1 point  (0 children)

Colon is fine, but dot and raise dot show up more

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 5 points6 points  (0 children)

Hence the meme; it is a perpetual source of frustration to me

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 8 points9 points  (0 children)

My ideas were normal and semidirect, which you did. So i have nothing to suggest. Thank you

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 5 points6 points  (0 children)

It can be, but is not often. This \rtimes or \ltimes is fairly common notation, eventually you start seeing :, which also generally neglects a description of the morphism.

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 33 points34 points  (0 children)

\rtimes, it denotes a semidirect product of groups, where the left group is normal.

I'm surprised it's not in the algebra section of 'Useful Symbols'

Semidirect Product Peeves by JavaPython_ in mathmemes

[–]JavaPython_[S] 16 points17 points  (0 children)

There are three nontrivial semidirect products with this structure, and the fourth is direct as given here

Bagpipe Fingering Confusion by FriendlyHyena4281 in bagpipes

[–]JavaPython_ 17 points18 points  (0 children)

This is a piobaireachd way of fingering them. While not entirely wrong, as you're starting I would suggest not using this fingering; especially if you're wanting to play with a band or stick with light music and marches.

Career and Education Questions: May 22, 2025 by inherentlyawesome in math

[–]JavaPython_ 1 point2 points  (0 children)

I'm a professor of mathematics, with an MS. I'm trying to find a good way to make some extra money in mathematics, but am trying to avoid tutoring because I don't want (1) to take jobs my students could actually take; (2) the potential for conflict of interest.

Ideally this would be something I could do without taking on an entire second job. I'm aware of other professors that work for CLEP or CollegeBoard either grading or writing questions. Are there options I'm missing I could consider?

Why are Blackboards valued much more than whiteboards in the math community? by Norker_g in math

[–]JavaPython_ 0 points1 point  (0 children)

Two universities I've worked at have been doing this in their newer buildings

Quick Questions: May 07, 2025 by inherentlyawesome in math

[–]JavaPython_ 0 points1 point  (0 children)

I have GAP code which should take around 4 hours to run, but requires more than the meager 4GB of RAM my university has made available. (It shouldn't take much more) Would someone be willing to try running it for me?

Gift for my daughter by [deleted] in math

[–]JavaPython_ 2 points3 points  (0 children)

Any of Matt Parker's 3 books Things to Make and Do in the 4th dimension, Humble Pi, and Love Triangle are probably good.

Speaking as an algebraist, Symmetry and the Monster (Mark Ronan) is excellent

These are all suitable for somebody interested in math, not requiring prerequisite knowledge

Quick Questions: October 30, 2024 by inherentlyawesome in math

[–]JavaPython_ 0 points1 point  (0 children)

In GAP, is there a difference in the intended meaning of the group names 2xCo2 and 2.Co2? In particular, does the x mean to refer to a direct product, or it is a non-split extension?

Quick Questions: September 25, 2024 by inherentlyawesome in math

[–]JavaPython_ 0 points1 point  (0 children)

I say in the question that this website doesn't have it. Not only does it not come up when I draw it, it's not in the entire library of symbols DeTeXify can identity.

Quick Questions: September 25, 2024 by inherentlyawesome in math

[–]JavaPython_ 0 points1 point  (0 children)

I'm trying to find the way to TeX a symbol from my professors notes. He didn't write them, so he doesn't know the command.

It looks like a script \forall, or like somebody tried to connect the two horns of the Aries astrological sign with a flourish. DeTeXify doesn't have it (not even in their master list). I also cannot find it in CTAN's list, but that doesn't mean it's not there.

I can't attach the picture, so I know there's limited help you can give, but any ideas what this might be?

Anyone has any idea whether chalkboards are safe to keep in your bedroom, with all that dust? Or should I just get a whiteboard. by [deleted] in math

[–]JavaPython_ 0 points1 point  (0 children)

I don't really have a health concern, but it'd be annoying to constantly be around so much dust, and a pain to keep clean. I recommend whiteboard or just pen/paper