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Search: Posts Made By: Dr Sardonicus
Forum: Lounge 2021-04-18, 14:04
Replies: 1,710
RIP
Views: 150,084
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: 13
Views: 259
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: 4,813
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: 11,747
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: 4,277
Views: 320,068
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: 4,813
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: 4,813
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: 52
Views: 10,920
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: 4,845
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: 1,710
RIP
Views: 150,084
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: 4,277
Views: 320,068
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: 1,710
RIP
Views: 150,084
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: 4,845
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: 1,348
Views: 112,123
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: 52
Views: 10,920
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: 4,845
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: 110
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: 1,348
Views: 112,123
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...
Forum: Lounge 2021-04-13, 12:44
Replies: 1,348
Views: 112,123
Posted By Dr Sardonicus
Right on the head. Link to news story provided...

Right on the head. Link to news story provided in this post (https://www.mersenneforum.org/showpost.php?p=575527&postcount=1338)
Forum: Number Theory Discussion Group 2021-04-13, 12:15
Replies: 7
Views: 110
Posted By Dr Sardonicus
The "normal order" and "average order" are not...

The "normal order" and "average order" are not necessarily the same. Number of distinct prime factors, sum of prime-power exponents, and the divisor function (number of positive integer divisors)...
Forum: Science & Technology 2021-04-12, 13:16
Replies: 52
Views: 10,920
Posted By Dr Sardonicus
'Huge' explosion rocks St. Vincent as volcano...

'Huge' explosion rocks St. Vincent as volcano keeps erupting (https://apnews.com/article/caribbean-coronavirus-pandemic-explosions-evacuations-2c26166fa05e0ec6840669972ea1aaf0)
Forum: Science & Technology 2021-04-11, 17:57
Replies: 52
Views: 10,920
Posted By Dr Sardonicus
More volcanic eruptions on Caribbean island of...

More volcanic eruptions on Caribbean island of St. Vincent (https://apnews.com/article/caribbean-kingstown-volcanic-eruptions-79e3ee67522c30056ddeb5689c78ab82)
Forum: Homework Help 2021-04-11, 15:59
Replies: 20
Views: 862
Posted By Dr Sardonicus
There's a trick to find the remainder mod 8...

There's a trick to find the remainder mod 8 that's so foolproof, it even works for me: just take the remainder mod 8 of the last 3 digits. In this case, the OP's number ends in 529, and 529 = 8*66...
Forum: Lounge 2021-04-11, 14:58
Replies: 1,710
RIP
Views: 150,084
Posted By Dr Sardonicus
Ramsey Clark...

Ramsey Clark (https://apnews.com/article/politics-new-york-ron-kuby-slobodan-milosevic-lyndon-johnson-b7cd1d599e1d7ad7cc0a7152cabfc82c)
Forum: Soap Box 2021-04-11, 13:17
Replies: 40
Views: 4,813
Posted By Dr Sardonicus
From the "You'll have to read this to believe it,...

From the "You'll have to read this to believe it, but you still won't believe it" department, is the following April 8, 2021 article in The Virginian-Pilot about a December 2020 traffic stop for DWB:...
Showing results 1 to 25 of 1000

 
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