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Mathematicians Crack a Simple but Stubborn Class of Equations [Pell Equations]
Quanta Magazine ^
| August 10, 2022
| Jordana Cepelewicz
Posted on 08/10/2022 3:30:05 PM PDT by BenLurkin
click here to read article
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1
posted on
08/10/2022 3:30:05 PM PDT
by
BenLurkin
To: SunkenCiv
2
posted on
08/10/2022 3:30:23 PM PDT
by
BenLurkin
(The above is not a statement of fact. It is either opinion, or satire, or both.)
To: BenLurkin
Can this provide a solution for BiXiden Inflation?
3
posted on
08/10/2022 3:32:43 PM PDT
by
Paladin2
To: BenLurkin
I don’t know how many nights I stayed awake trying to figure that out. Good to know it’s finally been solved.
4
posted on
08/10/2022 3:35:29 PM PDT
by
Hot Tabasco
(Don't walk thru the watermelon patch)
To: Hot Tabasco
Interesting, but they just had to use the BS "counting number" as well as the perfectly acceptable "integer".
It's a wonder kids today can do any math at all.
5
posted on
08/10/2022 3:38:13 PM PDT
by
BikerJoe
To: BenLurkin
I could have solved those Pell Equations, but I never got a Grant.
6
posted on
08/10/2022 3:45:10 PM PDT
by
ClearCase_guy
(We are already in a revolutionary period, and the Rule of Law means nothing. It's "whatever".)
To: BenLurkin
No wonder I sucked in algebra!😎
7
posted on
08/10/2022 3:45:18 PM PDT
by
Bonemaker
(invictus maneo)
To: BikerJoe
8
posted on
08/10/2022 3:56:17 PM PDT
by
ViLaLuz
(2 Chronicles 7:14)
To: ViLaLuz
“Integer” sounds racist.
OK, now I'm triggered :-)
9
posted on
08/10/2022 4:02:01 PM PDT
by
BikerJoe
To: ViLaLuz
I hope that the math team included a black, a hispanic, an indigenous person, a gay, a lesbian and a trans person.
Otherwise the results cannot be considered “knowledge” but must instead be treated as heretical thought and banned!
10
posted on
08/10/2022 4:06:37 PM PDT
by
cgbg
(A kleptocracy--if they can keep it. Think of it as the Cantillon Effect in action.)
To: BenLurkin
which can be written as x2 – dy2 = 1.
how about x=2, d=3, y=1?
I must be missing something.
11
posted on
08/10/2022 4:10:38 PM PDT
by
Scrambler Bob
(My /s is more true than your /science (or you might mean /seance))
To: BenLurkin
For instance, say you want to approximate 2–√, an irrational number, as a ratio of integers. It turns out that solving the Pell equation x2 – 2y2 = 1 can help you do that: 2–√ (or, more generally, d−−√) can be approximated well by rewriting the solution as a fraction of the form x/y.I can't tell you how many bar bets I've won because I knew that.
To: BenLurkin
wow and before calculators and computers
As obama said -— you think youre smart????, theres a lot of smart people-—
Lavish with —
Derisive inflection, smirk and clown smile -—
Hats off to mathimagicians
13
posted on
08/10/2022 4:39:35 PM PDT
by
Recompennation
(Don’t blame me my vote didn’t count so mee )
To: BikerJoe
Ohhh...yeah that’s mad dumb
To: BenLurkin
15
posted on
08/10/2022 4:48:45 PM PDT
by
SamAdams76
(3,703,267 users on Truth Social)
To: BenLurkin
..............what?
This article makes my Alabama educated head hurt.
16
posted on
08/10/2022 4:49:41 PM PDT
by
military cop
(I carry a .45....cause they don't make a .46....)
To: SamAdams76
17
posted on
08/10/2022 4:53:10 PM PDT
by
algore
To: BenLurkin; StayAt HomeMother; Ernest_at_the_Beach; 1ofmanyfree; 21twelve; 24Karet; ...
Thanks BenLurkin. If they can be solved, and the Mell equations can be solved, a lot of things will fall into place pell mell. Yeah, my heart wasn't in that one.
18
posted on
08/10/2022 4:55:21 PM PDT
by
SunkenCiv
(Imagine an imaginary menagerie manager imagining managing an imaginary menagerie.)
To: Paladin2
Can this provide a solution for BiXiden Inflation?Yes. The solution is a total tax intake that can be shown to be no less than 25 digits. Inflation is solved by blowing up every economy in the universe.
To: Scrambler Bob
Solved it. Write it down and send it in and wait for your Field’s Medal.
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