[QUOTE=retina;512761]I thought we were discussing the O(n[sup]2[/sup]) portion.[/QUOTE]We were, in the context of the overall algorithm. In that context, the small number multiplication runs in constant, i.e., O(1) time.

(My added emphasis)
[QUOTE=retina;512772]I mean the BB codes.

2[sup]2[sup]4096[/sup][/sup]

[b]That used to work okay, but now it is broken.[/b]
[/QUOTE]
Hmm. If you can locate a post that was done when it "used to work okay," it might be worth seeing how it displays now. I suspect the nested superscripts now display "broken."

Also, the more recent the post where the nested superscripts worked when it was posted, the better the time of the breakage can be pegged. Perhaps it happened with the recent kerflooey. Perhaps before.

[QUOTE=xilman;512783]We were, in the context of the overall algorithm. In that context, the small number multiplication runs in constant, i.e., O(1) time.[/QUOTE]I have misunderstood the paper. I thought it was suggesting that if I have a number smaller than 2^4096 bits then I should just use the O(n^2) algorithm. Which would of course would affect everything we use today. Anyhow, in this new context, which I have now realised, then I see that it won't matter. Everyone else is correct, I am wrong. :redface: :tu:

[QUOTE=Dr Sardonicus;512820](My added emphasis)

Hmm. If you can locate a post that was done when it "used to work okay," it might be worth seeing how it displays now. I suspect the nested superscripts now display "broken."

Also, the more recent the post where the nested superscripts worked when it was posted, the better the time of the breakage can be pegged. Perhaps it happened with the recent kerflooey. Perhaps before.[/QUOTE]It is hard to search this forum since it only allows for 100 results. The best I can find is these:

[url]https://mersenneforum.org/showpost.php?p=370609&postcount=30[/url]
[url]https://mersenneforum.org/showpost.php?p=370610&postcount=31[/url]
[url]https://mersenneforum.org/showpost.php?p=370618&postcount=36[/url]

They all used to display fine. Now, as you suspected, they display broken.

[url=https://www.theguardian.com/commentisfree/2019/apr/05/whale-legs-earths-past-fossil-peregocetus-pacificus]The whale with legs shows how little we know about Earth’s fantastical past[/url] | The Guardian

And for a fascinating (alleged) example of much more recent evolution, check out

[url=https://phys.org/news/2019-04-evolutionary-crucial-role-industrialization.html]Evolutionary changes played a crucial role in industrialization, study finds[/url] | PhysOrg

and repeat after me the nut of the matter, the succinct summation of the core of Darwinian evolutionary theory which, properly understood, appears almost as a "how could it be otherwise?" truism:

[i]Heritable traits conferring reproductive advantage spread throughout populations over time.[/i]

The [url=https://phys.org/news/2015-11-demands-rethink-darwin-theory-fecundity.html]New research demands rethink on Darwin's theory of 'fecundity selection'[/url] link in the "Explore further" section beneath the article does not negate the "reproductive advantage" part of the above encapsulation, rather it shows that one must look beyond simple current-generational fecundity and instead consider fecundity across multiple generations. If X has fewer children than Y but more grandchildren, that sort of thing.

[url]https://www.cnn.com/2019/04/10/world/black-hole-photo-scn/index.html[/url]

[QUOTE=Xyzzy;513337][url]https://www.cnn.com/2019/04/10/world/black-hole-photo-scn/index.html[/url][/QUOTE]

For anyone interested (and who can stomach youtube), here's a very good explanation of why we expected the image to be like that (posted before the photo was revealed)
[url]https://www.youtube.com/watch?v=zUyH3XhpLTo[/url]

[URL="https://www.popularmechanics.com/technology/gadgets/a26985627/france-beach-garfield-novelty-telephone/?src=socialflowTW&utm_campaign=socialflowTWPOP&utm_medium=social-media&utm_source=twitter"]A 35-Year-Old Garfield Novelty Telephone Mystery Has Been Solved[/URL]

[URL="https://www.newyorker.com/magazine/2019/04/08/the-day-the-dinosaurs-died"]The Day the Dinosaurs Died[/URL]

[URL="https://www.nature.com/articles/d41586-019-00895-3"]Why the sexes don’t feel pain the same way[/URL]

[URL="http://www.openculture.com/2019/03/behold-an-anatomically-correct-replica-of-the-human-brain-knitted-by-a-psychiatrist.html"]Behold an Anatomically Correct Replica of the Human Brain, Knitted by a Psychiatrist[/URL]

[URL="https://www.outsideonline.com/2392203/josh-morgerman-hurricane-chaser"]Inside the Mind of a Hurricane Chaser[/URL]

[URL="https://www.quantamagazine.org/the-sum-product-problem-shows-how-addition-and-multiplication-constrain-each-other-20190206/"]How a Strange Grid Reveals Hidden Connections Between Simple Numbers[/URL]

[URL="https://www.quantamagazine.org/goals-and-rewards-redraw-the-brains-map-of-the-world-20190328"]Goals and Rewards Redraw the Brain’s Map of the World[/URL]

[URL="https://www.technologyreview.com/s/613179/genome-engineers-made-more-than-13000-crispr-edits-in-a-single-cell/"]Genome engineers made more than 13,000 CRISPR edits in a single cell[/URL]

Agribusiness is probably sweating bullets over the multiple herbicide-resistant variety of pigweed known as Palmer Amaranth, (Amaranthus palmeri), AKA [url=https://www.agriculture.com/crops/pesticides/palmer-amaranth-that-resists-24-d-and-dicamba-confirmed-in-kansas]The Weed that Will Not Die[/url]. I suppose that those determined to dismiss NPR as purveyors of "fake news" will say it's a hoax, since NPR reported the story [url=https://www.npr.org/sections/thesalt/2019/04/11/710229186/as-weeds-outsmart-the-latest-weedkillers-farmers-are-running-out-of-options]here[/url].

There may be a bright side: If spraying dicamba and 2,4-D doesn't do any good against this plant, farmers won't have to buy the latest-and-greatest genetically engineered crops designed to resist these herbicides, just to protect their crops from spray drifting from neighboring fields.

[QUOTE=Dr Sardonicus;513596]Agribusiness is probably sweating bullets over the multiple herbicide-resistant variety of pigweed known as Palmer Amaranth, (Amaranthus palmeri), AKA [url=https://www.agriculture.com/crops/pesticides/palmer-amaranth-that-resists-24-d-and-dicamba-confirmed-in-kansas]The Weed that Will Not Die[/url]. I suppose that those determined to dismiss NPR as purveyors of "fake news" will say it's a hoax[/QUOTE]

"fake news" as in, "only the stories our corporate/MIC masters want you to hear, some of which may be actual news-from-our-masters'-perspective, others are what is generally referred to as 'narrative'." Lies always go down best when sweetened with truth - it's part of the art of propaganda, which I am surprised you, with your extensive reading and researching, seem quite unfamiliar with. The trick lies in learning how to separate the truth from the 'narratives'.

Now, to your specific example - back when I used to occasionally tune in to the Sunday morning talking heads, I noted agribusiness - specifically ADM - was the major sponsor of the show I watched most regularly. You observation that "agribusiness is probably sweating bullets" tells you why you're hearing about it on NPR. Agribusiness created the problem of herbicide resistance, but they have no compunction whatsoever about "bringing the problem to the attention of the masses", surely with an eye towards government monies to help them "address this scourge".

[QUOTE=ewmayer;513627]Now, to your specific example - back when I used to occasionally tune in to the Sunday morning talking heads, I noted agribusiness - specifically ADM - was the major sponsor of the show I watched most regularly.[/quote]Was that David Brinkley's show? God, what a sad story. He finally became nothing but a shill for ADM, "Supermarket to the World."

I am old enough to remember "The Huntley-Brinkley Report." My parents watched it every weekday they could. It was my introduction to classical music -- the closing credits were accompanied by some very dramatic orchestral music. It was many years before I learned it was the second movement ([i]Molto vivace[/i]) to Beethoven's Ninth Symphony.

Another thing agribusiness is probably sweating bullets over is a recent verdict in a [url=https://www.reuters.com/article/us-bayer-glyphosate-lawsuit/bayer-shares-slide-after-latest-roundup-cancer-ruling-idUSKCN1R02O3]lawsuit against Bayer[/url], which ate Monsanto last year. Bayer is having severe indigestion. There are thousands more such lawsuits in the pipeline.

Juries are finding that glyphosate (the active ingredient in Roundup) causes an increased risk of cancer -- and Monsanto knew about the risk, and kept it to themselves. Reminds me of the lawsuit against Johns Manville, back in the day. Nowadays I'm seeing lawyer ads about it, keyword mesothelioma.

Luckily for corporations, they (unlike "natural persons"), can use the bankruptcy laws for protection against being sued into financial ruin.