Matt Macauley

Close-up of brown, yellow, and purple figs from my trees.

Four types of figs from my trees: Celeste, Brown Turkey, LSU Gold, and Chicago Hardy (the purple ones).

And the extra point!

Containers of fresh figs that I picked from my trees this evening. Nearly 11 pounds.

I picked nearly 11 pounds of figs from my trees this evening.

Colbert 2028

I think "gang" has a slightly better ring to it.

Is that Eindhoven?

I own several because I use them for certain classes. It's also fun to watch my two cats and 2-year-old son react to them...

#158 The Case of the Missing Hit Podcast Episode · Reply All · 03/05/2020 · 56m

Speaking of trying to find a missing song, this was an incredibly fun podcast episode, one of my favorites:

podcasts.apple.com/us/podcast/1...

Yep. Funny thing is that it was my wife’s suggestion, but completely unrelated (doesn’t follow baseball, not from WA). She was probably surprised how quickly I agreed. 😂

I can see the back and forth of both of y’all’s (yinz? 😬) replies, but directly above each one both says “Blocked Post”. Did the OP (I don’t even remember who that was) really block us all for comparing the pitful records of our baseball teams?! 🙄

My son was born in October 2022. The same week the King returned to throw out the first pitch after a 21 year playoff drought. I bet you can guess what we named him…

Tweet by a right wing nut job about a note that he absolutely did not get from an airplane stewardess. There are so many of these. This is one I remembered and easily found via Google.

What the heck is the deal with right-wingers making up stories about flight attendants passing them a secret fan notes? I’ve seen a bunch of these. Narcissistic? Cry for help? All of the above? It’s truly pathetic.

🤣🤣🤣

In all fairness, I still get joy from the 1995 Mariners, which was (gasp) 30 years ago...

A ton? They’ve won 4 playoff series in their 48-year history.

The Mariners have only been to the playoffs 5 times, and just once in the last 24 years. Only team to never reach the WS. The Pirates have made the playoffs 6 times since their 1979 WS win.

I'm so used to using the ideal (2,x) for examples, that I wrote that on autopilot. 😂

Oh yes, sorry!

(2) ⊊ (2,2x) ⊊ (2,2x,2x²) ⊊ (2,2x,2x²,2x³) ⊊ ... 2Z[x].

ChatGPT says it might be "Next Color Planet" by Hoshimachi Suisei.

Then again, this is the same program that recently told me that S₃ has a unique normal subgroup of order 2...

But when a hurricane hits the RNC two election cycles in a row...

I agree with the former, but not the latter. Hilbert's basis theorem fails precisely because RX ⊊ (X):

(2) ⊊ (2,x) ⊊ (2,x,x²) ⊊ (2,x,x²,x³) ⊊ ... 2Z[x].

The RX def would give (2) = (2,x) = (2,x,x²) = (2,x,x²,x³) = ...

Here’s Your Cheat Sheet for Vaccine Recommendations Backed by Science These graphics will guide you through science-based vaccine guidelines for children and adults

Vaccination schedules on the CDC website have already started changing under RFK Jr. So we published a guide to the evidence-based vaccine recommendations in place *before* all 17 members of the advisory panel were abruptly dismissed by the new admin. www.scientificamerican.com/article/see-... 🧪

I somehow missed this gem!

FWIW, I'm a strong believer that ideals are subrings (and also subgroups!).

That part is correct. It's the definition of the ideal (2,x): all polynomials of that form.

If you take f(x)=1 and g(x)=0, then you get 2.

If you take f(x)=0 and g(x)=1, then you get x.

So, unlike what it's claiming later, 2 and x are certainly in the ideal (2,x)!

Ooh, that's a good one. Same reason why groups need not have a maximal subgroup...

#3. Hilbert's basis theorem: if R is Noetherian, then so is R[x]:

Ex.: R=2Z, but (2) ⊊ (2,x) ⊊ (2,x,x²) ⊊ ... 2Z[x].

[An understanding of #1 is needed to see why these are ⊊ ]

I'm sure there are many others, but I don't know them off-hand. Can you think of one? The simpler the better.

2/2

Question for #MathSky: what are some fundamental results in ring theory that fail w/o the assumption of unity? Here are 3 examples:

#1. {r₁x₁+⋯ +rₙxₙ : xᵢ∈X} = ∩ ideals that contain X

Ex: X={2} in the ring R=2Z[x], b/c 2∉LHS but 2∈RHS

#2. maximal ideal => prime ideal

Ex: I=4Z in R=2Z

1/2

Google AI saying that (2,x) is not a prime ideal, because 2x ∈ (2,x) but 2 ∉ (2,x) and x ∉ (2,x)

I will definitely be using this example the next time I teach abstract algebra to warn students of using AI. The claim that

2x ∈ (2,x) but 2 ∉ (2,x) and x ∉ (2,x).

is gold! What are your favorite examples of things like this?

I’m celebrating the 4th of July this year by working all day in the office and drinking tea with a cricket match in the background.
‘Merica! 🇺🇸🇺🇸🇺🇸

NEW: NSF will be kicked out of their building. Announcement will be made tomorrow by HUD Sec. and Governor of VA. HUD will take over the NSF building over the next two years.

NSF staffer: "There is no planning for NSF, no identified future location, appropriation for a new building or a move."

Possible but doubtful. Also, his son Jack is a registered Democrat.