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 Showing results 1 to 25 of 1000 Search took 0.27 seconds. Search: Posts Made By: Dr Sardonicus
 Forum: Miscellaneous Math 2021-04-19, 15:00 Replies: 9 Views: 300 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: 1,089 Views: 77,490 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: 41,288 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: 1,710 Views: 150,396 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: 487 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: 4,839 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: 11,814 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: 320,625 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: 4,839 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: 4,839 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: 11,014 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: 4,881 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 Views: 150,396 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: 320,625 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: Math 2021-04-14, 12:50 Replies: 10 Views: 4,881 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: 112,639 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: 11,014 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: 4,881 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...
 2021-04-13, 14:06 Replies: 7 Views: 114 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: 112,639 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: 112,639 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)
 2021-04-13, 12:15 Replies: 7 Views: 114 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: 53 Views: 11,014 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: 53 Views: 11,014 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)
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