What are people thinking?

[Walter Von Moo Moo]

I counted three big, clunky window air conditioners running today.

What for?  It's February.  Just take out the machine and leave the window open.  You'll be frost bitten in no time and it won't cost a cent.

[The_annoying_one]

1 minute ago, Walter Von Moo Moo said:

I counted three big, clunky window air conditioners running today.

What for?  It's February.  Just take out the machine and leave the window open.  You'll be frost bitten in no time and it won't cost a cent.

It was in the 70’s today. Air conditioner weather.

[Lemming]

2 minutes ago, Walter Von Moo Moo said:

I counted three big, clunky window air conditioners running today.

What for?  It's February.  Just take out the machine and leave the window open.  You'll be frost bitten in no time and it won't cost a cent.

Zerk in peace

[Gemini]

I don't know how the weather is in New Jersey, but in Houston, Texas, it's usually air conditioner weather all year round.

[Lemming]

1 minute ago, hornedlizardman said:

I don't know how the weather is in New Jersey, but in Houston, Texas, it's usually air conditioner weather all year round.

That's right. Camden, whooooo go Camden it's shelf. Now I gotta go. Bye for now and come again.

[scoobdog]

Hey @Seight….. I found a new one.

[Walter Von Moo Moo]

13 minutes ago, The_annoying_one said:

It was in the 70’s today. Air conditioner weather.

When 70 is for air conditioners, we have raised a nation of orchids.

[The_annoying_one]

2 minutes ago, Walter Von Moo Moo said:

When 70 is for air conditioners, we have raised a nation of orchids.

I didn’t say I used an air conditioner. I said it was air conditioner weather. There’s a difference. Also, it was closer to 80 than 70.

[Walter Von Moo Moo]

11 minutes ago, hornedlizardman said:

I don't know how the weather is in New Jersey, but in Houston, Texas, it's usually air conditioner weather all year round.  i

Houston runs about 55 degrees, mid day, December to mid March.

But, I know the summer heat waves there.  98 to 105 with intense humidity.  That's air conditioner time.

[Seight]

11 minutes ago, scoobdog said:

Hey @Seight….. I found a new one.

[atomicinumatt]

So I am currently thinking about dinner and Artin L-functions, and the Artin conjecture in general, which has remained elusive to proof!

So, essentially an Artin L-function is a Dirichlet series with a linear representation p of a Galois group G in a finite dimensional complex vector space V, such that G is the Galois group of the finite extension L/K of number fields, and the Artin L-function L(p,s) is defined by an Euler product. 

There is an Euler factor for every prime ideal p in K's ring of integers! The simplest case of this to define is when p is unramified in L, where the Frobenius element Frob(p) is a conjugacy class in G. 

Therefore, the characteristic polynomial of p(Frob(p)) is defined. The Euler factor of p is defined as:

1/(poly(p(Frob(p)))) = 1/(det[I-tp(Frob(p))]), 

where ploy is the characteristic polynomial, det is the determinant. This is a rational function of t, evaluated at t = s/(N(p)), with s being a complex variable in the usual Riemann zeta function notation. 

If we are dealing with the ramified p, I is the inertia group which is a subgroup of G, where the same process is done, but to a subspace with V fixed by I. The Artin L-function L(p, s) is then the infinite product over all prime ideals p of these factors. 

Being able to prove this, and other problems and statements related to it are some of the most cutting edge problems in modern mathematics and science. 

So I guess you could say that is what is on my mind today. 

Oh wait! You were baiting people into this thread with a clickbait title haha my bad, I thought you were just asking what I was thinking about! 

Edited February 17, 2023 by atomicinumatt

[atomicinumatt]

16 minutes ago, Seight said:

Lmao I am literally watching Top Gear UK as I type this 

[Gemini]

2 hours ago, Walter Von Moo Moo said:

Houston runs about 55 degrees, mid day, December to mid March.

But, I know the summer heat waves there.  98 to 105 with intense humidity.  That's air conditioner time.

It can be cold outside and I'll still sleep with the fan on. Because that's how we roll in Houston.

[Vela]

18 hours ago, hornedlizardman said:

It can be cold outside and I'll still sleep with the fan on. Because that's how we roll in Houston.

I always have a fan running when I sleep for white noise.

[Gemini]

2 minutes ago, Vela said:

I always have a fan running when I sleep for white noise.

[Gemini]

Also, this came to mind, for some reason. (For I bet this is how he felt when we derailed this thread. lol)

Edited February 17, 2023 by hornedlizardman

[The_annoying_one]

I’m thinking of how thirsty I am, but I don’t feel like getting up.

[Gemini]

9 minutes ago, The_annoying_one said:

I’m thinking of how thirsty I am, but I don’t feel like getting up.

I'm thinking of the fact I may have to go farther than I'd like just to get a good burger.

[The_annoying_one]

13 minutes ago, hornedlizardman said:

I'm thinking of the fact I may have to go farther than I'd like just to get a good burger.

Dilemmas.

[Vela]

I'm thinking since I'm both hungry and thirsty now it's dinner time.  Later!

[Gemini]

4 minutes ago, Vela said:

I'm thinking since I'm both hungry and thirsty now it's dinner time.  Later!

Bye! Hurry back.