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Forum: Miscellaneous Math 2020-08-11, 02:54
Replies: 7
Views: 322
Posted By CRGreathouse
Could you give an example of what such a vector...

Could you give an example of what such a vector would look like?



Could you give an example of a similar algorithm that already does the same thing (or a comparable thing), but which uses...
Forum: Alberico Lepore 2020-08-10, 17:26
Replies: 11
Views: 541
Posted By CRGreathouse
If I ever need to factor a semiprime coprime to 6...

If I ever need to factor a semiprime coprime to 6 with at most 2 decimal digits, I'll know where to turn to -- assuming your method can handle the other eight candidates.

Here's an alternate...
Forum: Miscellaneous Math 2020-08-10, 15:22
Replies: 7
Views: 322
Posted By CRGreathouse
...so the "MILESTONE" is that, if you know the...

...so the "MILESTONE" is that, if you know the factorization, you can find it again very quickly?
Forum: Miscellaneous Math 2020-08-10, 04:21
Replies: 7
Views: 322
Posted By CRGreathouse
Fantastic! Unfortunately, Aoki, Kida, Shimoyama,...

Fantastic! Unfortunately, Aoki, Kida, Shimoyama, & Ueda already factored RSA-150, so it's not a good way to show that your method works. Could you demonstrate it with this smaller number, please?
...
Forum: PARI/GP 2020-08-06, 13:45
Replies: 272
Views: 12,019
Posted By CRGreathouse
You can do better than that: echo "Pi" | gp...

You can do better than that:

echo "Pi" | gp -q
Forum: Miscellaneous Math 2020-06-24, 02:53
Replies: 59
Views: 1,304
Posted By CRGreathouse
My current (consensus) understanding is thus: ...

My current (consensus) understanding is thus:

Let x and y be real numbers.

BillyB(x, y) = x/y for all x, y where y ≠ 0.
BillyB(x,0) = x.

Is this a correct understanding? I am avoiding your...
Forum: Miscellaneous Math 2020-06-23, 16:55
Replies: 59
Views: 1,304
Posted By CRGreathouse
It's hard for me to believe we're five pages in...

It's hard for me to believe we're five pages in and you still haven't defined your operation.

You have a function -- not division, but your new take on it -- which takes two arguments and returns...
Forum: Lounge 2020-04-12, 05:06
Replies: 991
Views: 40,046
Posted By CRGreathouse
FDR preaching against bigotry, that's rich...

FDR preaching against bigotry, that's rich (https://www.history.com/topics/world-war-ii/japanese-american-relocation).
Forum: Lounge 2020-04-11, 00:35
Replies: 991
Views: 40,046
Posted By CRGreathouse
NY is doing a better job of testing people, but...

NY is doing a better job of testing people, but CA and upstate NY locked down before NYC did (by ~6 days), and that made a big difference.
Forum: sweety439 2020-04-06, 06:23
Replies: 1
Views: 286
Posted By CRGreathouse
Extra credit: Prove that an analogous statement...

Extra credit: Prove that an analogous statement holds in every base.
Forum: Lounge 2020-04-06, 04:38
Replies: 27
Views: 584
Posted By CRGreathouse
This is hard. You want the N-95 to seal properly,...

This is hard. You want the N-95 to seal properly, like kriesel said, so putting it inside is the natural way. But putting a surgical mask outside wouldn't help and would definitely make breathing...
Forum: Lounge 2020-04-06, 04:33
Replies: 27
Views: 584
Posted By CRGreathouse
https://www.massnurses.org/health-and-safety/artic...

https://www.massnurses.org/health-and-safety/articles/chemical-exposures/p/openItem/1318[/QUOTE]

It is true that N-95s do not filter out gasses or most odors. (For that, you'd want a cartridge...
Forum: Lounge 2020-04-01, 03:20
Replies: 19
Views: 1,046
Posted By CRGreathouse
They're all nearly identical. It has a repair...

They're all nearly identical. It has a repair mechanism; it doesn't act like a typical RNA virus.
Forum: Lounge 2020-03-29, 01:57
Replies: 19
Views: 1,046
Posted By CRGreathouse
I like to think of this as a game: suppose you...

I like to think of this as a game: suppose you step into an elevator and you find yourself sharing it with the commissioner of health of New York (the current epicenter of the outbreak). You have...
Forum: Lounge 2020-03-29, 01:46
Replies: 991
Views: 40,046
Posted By CRGreathouse
The study that this is based on is flawed and...

The study that this is based on is flawed and should be withdrawn. There are very few mutations in COVID-19, its repair mechanism (similar to the one in MERS and SARS-CoV-1...
Forum: Lounge 2020-03-29, 01:40
Replies: 991
Views: 40,046
Posted By CRGreathouse
I lived just off RAF Brawdy for several years,...

I lived just off RAF Brawdy for several years, not sure if 911 worked there though. (Military brat)
Forum: Lounge 2020-03-29, 01:36
Replies: 19
Views: 1,046
Posted By CRGreathouse
This would seem to require an infeasible amount...

This would seem to require an infeasible amount of labor to implement. And what, exactly, are you doing to moved people? Are you renting a hotel room for them?
Forum: Soap Box 2020-03-23, 16:54
Replies: 18
Views: 1,643
Posted By CRGreathouse
Population growth + no stay-at-home orders?

Population growth + no stay-at-home orders?
Forum: PARI/GP 2020-03-23, 05:50
Replies: 2
Views: 1,750
Posted By CRGreathouse
The documentation is here: ...

The documentation is here:
https://cypari2.readthedocs.io/en/latest/index.html

It definitely has lots of elliptic curve material. Whether it has what you're looking for or not, I can't say.
Forum: Lounge 2020-03-23, 05:11
Replies: 991
Views: 40,046
Posted By CRGreathouse
Yes. :furious: Kick 'em all out!

Yes. :furious: Kick 'em all out!
Forum: Lounge 2020-03-23, 05:09
Replies: 991
Views: 40,046
Posted By CRGreathouse
NY has the best testing in the US. But NY also...

NY has the best testing in the US. But NY also has two of the hardest-hit places in the nation -- NYC and Westchester.
Forum: Lounge 2020-03-23, 05:01
Replies: 991
Views: 40,046
Posted By CRGreathouse
The problem with test kits was that the CDC...

The problem with test kits was that the CDC messed up the first generation and prohibited state labs (and others) from using theirs. There's no lack of reagents anywhere I know of; the problem is...
Forum: enzocreti 2020-03-23, 03:03
Replies: 6
Views: 834
Posted By CRGreathouse
Cool Ah! of course. So it suffices to show 10^1 =...

Ah! of course. So it suffices to show
10^1 = 1^3 + 2^3 + 1^2
10^2 = 3^3 + 4^3 + 3^2
10^3 = 6^3 + 7^3 + 21^2
10^4 = 4^3 + 15^3 + 81^2
10^6 = 7^3 + 26^3 + 991^2
10^11 = 234^3 + 418^3 + 316092^2...
Forum: PARI/GP 2020-03-22, 05:43
Replies: 4
Views: 436
Posted By CRGreathouse
This is not a simple question to answer for PARI...

This is not a simple question to answer for PARI in general (you get into issues of the stack and universal objects). But for what you are doing, the correct PARI code, I believe, is
...
Forum: enzocreti 2020-03-22, 04:46
Replies: 6
Views: 834
Posted By CRGreathouse
It seems rather difficult to find positive...

It seems rather difficult to find positive integers n such that there are no positive integers a, b, and c with 10^n = a^3 + b^3 + c^2. n = 5 is an example, but there are no others up to 18.

I...
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