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Search: Posts Made By: Dr Sardonicus
Forum: Lounge 2021-04-20, 18:48
Replies: 195
Views: 32,816
Posted By Dr Sardonicus
Just for my own amusement, I measured the n-th...

Just for my own amusement, I measured the n-th gap between consecutive known Mersenne prime exponents e as (en+1 - en)/en and ranked them from largest to smallest. The gap between 127 and 521 thus...
Forum: Lounge 2021-04-20, 18:06
Replies: 1,350
Views: 112,840
Posted By Dr Sardonicus
Ted Nugent, who once dismissed COVID-19, sickened...

Ted Nugent, who once dismissed COVID-19, sickened by virus (https://apnews.com/article/donald-trump-public-health-race-and-ethnicity-health-coronavirus-pandemic-585b21bb229c0049f2dec94927cc9789)
Forum: Science & Technology 2021-04-20, 16:25
Replies: 2,888
Views: 217,750
Posted By Dr Sardonicus
The lack of a citation is really lame. The...

The lack of a citation is really lame.

The actual paper is in PHYSICS ESSAYS 33, 4 (2020)...
Forum: Lounge 2021-04-20, 11:59
Replies: 1,711
RIP
Views: 150,565
Posted By Dr Sardonicus
Walter Mondale, Carter's vice president, dies at...

Walter Mondale, Carter's vice president, dies at 93 (https://apnews.com/article/top-news-government-and-politics-walter-mondale-d2dd4186374696734c88f60221d345f5)
Forum: Miscellaneous Math 2021-04-19, 15:00
Replies: 9
Views: 309
Posted By Dr Sardonicus
No. In the words of Joe Biden, "Aw, c'mon,...

No.

In the words of Joe Biden, "Aw, c'mon, man!" What is the definition of multiplicative order mod p?

EDIT: Even better, what does the theorem in the thread title tell you if p > 2?
Forum: Lounge 2021-04-19, 12:40
Replies: 1,090
Views: 77,630
Posted By Dr Sardonicus
NASA's Mars helicopter takes flight, 1st for...

NASA's Mars helicopter takes flight, 1st for another planet (https://apnews.com/article/technology-science-planets-mars-1f39e9b9c56ad3bbe3634aeabfa4abaf)
Forum: Soap Box 2021-04-19, 12:00
Replies: 366
Views: 41,371
Posted By Dr Sardonicus
Authorities say no one was driving Tesla before...

Authorities say no one was driving Tesla before deadly crash (https://apnews.com/article/houston-3f5358a51022167735c50bf0f4d74aef)
Forum: Lounge 2021-04-18, 14:04
Replies: 1,711
RIP
Views: 150,565
Posted By Dr Sardonicus
Retired Ohio sheriff and tiny K-9 partner die the...

Retired Ohio sheriff and tiny K-9 partner die the same day (https://apnews.com/article/us-news-police-cleveland-ohio-dogs-f6f5f715231d7928e4f652a3cd46e9ec)
Forum: Miscellaneous Math 2021-04-18, 13:31
Replies: 26
Views: 533
Posted By Dr Sardonicus
Thank you for explaining what the program...

Thank you for explaining what the program actually does.

The usage of "quadratic residue" in the thread title is completely wrong. The residue a (mod n) is a quadratic residue if x^2 == a (mod n)...
Forum: Soap Box 2021-04-17, 13:10
Replies: 40
Views: 4,851
Posted By Dr Sardonicus
I have wondered, from time to time, whether...

I have wondered, from time to time, whether police training manuals have an analogous chapter on "Contact with Black Motorists" or "Contact with Non-White Subjects."
Forum: Lounge 2021-04-17, 02:24
Replies: 61
Views: 11,831
Posted By Dr Sardonicus
On Monday April 12, I saw my first large...

On Monday April 12, I saw my first large butterfly of the year, a Papilio glaucus - Eastern Tiger Swallowtail, a large yellow butterfly with black stripes on its wings.

Today (Friday April 16),...
Forum: Lounge 2021-04-16, 01:36
Replies: 4,280
Views: 320,842
Posted By Dr Sardonicus
Blindly following the laws of exponents, yes,...

Blindly following the laws of exponents, yes, repeatedly raising to the i power you get x, xi, x-1, x-i, x, ...

Unfortunately, the "laws of exponents" can go haywire when the exponents aren't real...
Forum: Soap Box 2021-04-16, 01:21
Replies: 40
Views: 4,851
Posted By Dr Sardonicus
I suspect that, in many cases, the reason for...

I suspect that, in many cases, the reason for such mistakes is given in a youtube video (https://www.youtube.com/watch?v=syGz4h0MyPQ), which I previously linked to in another context...
Forum: Soap Box 2021-04-15, 15:34
Replies: 40
Views: 4,851
Posted By Dr Sardonicus
In fairness to the police, the Skittles reference...

In fairness to the police, the Skittles reference seems to be to Trayvon Martin, whose killer, George Zimmerman, was not a police officer. Zimmerman was charged with second-degree murder but...
Forum: Science & Technology 2021-04-15, 15:02
Replies: 53
Views: 11,058
Posted By Dr Sardonicus
Ugh. That almost looks like enough to warrant...

Ugh. That almost looks like enough to warrant starting with a shovel. A grain scoop works pretty well for shoveling snow off a flat roof. Of course, snow you can just throw over the edge. I'm not...
Forum: Math 2021-04-15, 14:55
Replies: 10
Views: 4,892
Posted By Dr Sardonicus
Perhaps Baker's Theorem on linear forms in...

Perhaps Baker's Theorem on linear forms in logarithms gives some kind of bound on how well c can be approximated. Alas, I am not familiar enough with the result.
Forum: Lounge 2021-04-15, 14:08
Replies: 1,711
RIP
Views: 150,565
Posted By Dr Sardonicus
I have more sympathy than some for Madoff's...

I have more sympathy than some for Madoff's victims. Most people aren't investment experts - that's why they rely on advisors. Assuming his victims had checked on Madoff's reputation and record...
Forum: Lounge 2021-04-15, 13:13
Replies: 4,280
Views: 320,842
Posted By Dr Sardonicus
Good one! There are two different sequences...

Good one! There are two different sequences here. The first one repeats five four terms cyclically, the second is the one that converges to the value indicated: ? z=I;for(i=1,20,print(i" "z);z=z^I)...
Forum: Lounge 2021-04-14, 13:57
Replies: 1,711
RIP
Views: 150,565
Posted By Dr Sardonicus
Bernie Madoff...

Bernie Madoff (https://apnews.com/article/bernie-madoff-dead-9d9bd8065708384e0bf0c840bd1ae711)
Forum: Math 2021-04-14, 12:50
Replies: 10
Views: 4,892
Posted By Dr Sardonicus
Since c = log(2)/log(10) is irrational, the...

Since c = log(2)/log(10) is irrational, the simple continued fraction (SCF) for c does not terminate. If pn/qn is a convergent fraction,

|c - pn/qn| < 1/qnqn+1 < 1/qn^2.

So this degree of...
Forum: Lounge 2021-04-13, 15:55
Replies: 1,350
Views: 112,840
Posted By Dr Sardonicus
Given the rush to get shots in arms, having some...

Given the rush to get shots in arms, having some inadequately trained vaccinators seems reasonably likely.

Platelets are a major factor in forming blood clots, so it made me wonder how someone...
Forum: Science & Technology 2021-04-13, 15:26
Replies: 53
Views: 11,058
Posted By Dr Sardonicus
IIRC, you collect rainwater. I'm guessing that...

IIRC, you collect rainwater. I'm guessing that having dust on the roofs would be bad for that. Of course, the weight of a lot of dust and ash would collapse the roof.

But geez, using up water to...
Forum: Math 2021-04-13, 15:15
Replies: 10
Views: 4,892
Posted By Dr Sardonicus
Think: When do two consecutive integers have...

Think: When do two consecutive integers have different numbers of decimal digits?

One thing you do have to be careful about is that the value of log(2)/log(10) is sufficienty accurate. With an...
Forum: Number Theory Discussion Group 2021-04-13, 14:06
Replies: 7
Views: 117
Posted By Dr Sardonicus
Check. It's in the paper I linked to.Yes, but I...

Check. It's in the paper I linked to.Yes, but I was being even more "flexible" than they were. :big grin:

As a non-trivial example where normal and average orders both exist but are different:
...
Forum: Lounge 2021-04-13, 13:17
Replies: 1,350
Views: 112,840
Posted By Dr Sardonicus
The Latest: US suggests 'pause' J&J shots over...

The Latest: US suggests 'pause' J&J shots over clot reports (https://apnews.com/article/world-news-europe-england-coronavirus-pandemic-united-nations-28008ef665003ebf11c981ed330c5370)I don't know how...
Showing results 1 to 25 of 1000

 
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