Math News and Discussions

Xyls
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This is a new proof in 2022. Quite interesting.
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caltrek
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It's Official: Scientists Confirm a New Expanded Scale of Measurement
by Daniel Lawler
November 21, 2022

Introduction:
(Science Alert) Say hello to ronnagrams and quettameters: International scientists gathered in France voted on Friday for new metric prefixes to express the world's largest and smallest measurements, prompted by an ever-growing amount of data.

It marks the first time in more than three decades that new prefixes have been added to the International System of Units (SI), the agreed global standard for the metric system.

Joining the ranks of well-known prefixes like kilo and milli are ronna and quetta for the largest numbers – and ronto and quecto for the smallest.

The change was voted on by scientists and government representatives from across the world attending the 27th General Conference on Weights and Measures, which governs the SI and meets roughly every four years at Versailles Palace, west of Paris.

The UK's National Physical Laboratory, which led the push for the new prefixes, confirmed that the resolution had passed in a statement.
Read more here: https://www.sciencealert.com/its-offic ... asurement
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wjfox
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^ I was about to post this, heh.

Oh well. I guess we know what future supercomputer scales might be called.


Xyls
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Mr. Yitang Zhang may have done it again...

This was the adjunct professor who was working side jobs at subway who helped with a breakthrough on Twin Primes back in 2013. Might also now be helping solve a conjecture which is similar to Riemann Hypothesis:

https://www.scientificamerican.com/arti ... akthrough/

Mathematician Who Solved Prime Number Riddle Claims New Breakthrough
A mathematician who went from obscurity to luminary status in 2013 for cracking a century-old question about prime numbers now claims to have solved another. The problem is similar to—but distinct from—the Riemann hypothesis, which is considered one of the most important problems in mathematics.

Number theorist Yitang Zhang, who is based at the University of California, Santa Barbara, posted his proposed solution—a 111-page preprint—on the arXiv preprint server on 4 November. It has not yet been validated by his peers. But if it checks out, it will go some way towards taming the randomness of prime numbers, whole numbers that cannot be divided evenly by any number except themselves or 1.
----

As a note though Terrence Tao, says it's hard to verify this at the moment because the paper has technical issues like typos and stuff that wasn't proofread super carefully. So not clear on the accuracy of this at this point.
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wjfox
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Xyls
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ChatGPT Is Getting Dumber at Math. What Does It Mean For AI’s Future?

https://www.wsj.com/video/series/tech-n ... BE3C19AFD0

But remember glorified chatbot ChatGPT shows we are on the brink of superhuman intelligence.
Nanotechandmorefuture
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Xyls wrote: Sun Sep 17, 2023 1:31 am ChatGPT Is Getting Dumber at Math. What Does It Mean For AI’s Future?

https://www.wsj.com/video/series/tech-n ... BE3C19AFD0

But remember glorified chatbot ChatGPT shows we are on the brink of superhuman intelligence.
This only started happening after Sam Altman went to Europe. Since he is in the tech sector it is different. Probably got some passive aggressiveness from the Europeans there in Europe and their employees which go by Judaism started doing this. Yes they could have been forced to as well. It does not make sense for it to be so subpar when it had a great thing going on.
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caltrek
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Pythagorean Theorem Found On Clay Tablet 1,000 Years Older Than Pythagoras
James Felton
October 2, 2023

Introduction:
(IFL Science) Study math for long enough and you will likely have cursed Pythagoras's name, or said "praise be to Pythagoras" if you're a bit of a fan of triangles.

But while Pythagoras was an important historical figure in the development of mathematics, he did not figure out the equation most associated with him (a2 + b2 = c2). In fact, there is an ancient Babylonian tablet (by the catchy name of IM 67118) which uses the Pythagorean theorem to solve the length of a diagonal inside a rectangle. The tablet, likely used for teaching, dates from 1770 BCE – centuries before Pythagoras was born in around 570 BCE.

Another tablet from around 1800–1600 BCE has a square with labeled triangles inside. Translating the markings from base 60 – the counting system used by ancient Babylonians – showed that these ancient mathematicians were aware of the Pythagorean theorem (not called that, of course) as well as other advanced mathematical concepts.

"The conclusion is inescapable. The Babylonians knew the relation between the length of the diagonal of a square and its side: d=square root of 2," mathematician Bruce Ratner writes in a paper on the topic. "This was probably the first number known to be irrational. However, this in turn means that they were familiar with the Pythagorean Theorem – or, at the very least, with its special case for the diagonal of a square (d2 = a2 + a2 = 2a2) – more than a thousand years before the great sage for whom it was named."

So why did this get attributed to Pythagoras? No original writing from Pythagoras survives. What we know of him was passed on by others, in particular the Pythagoreans – members of a school he set up in what is now modern-day southern Italy. The school, named the Semicircle of Pythagoras, was secretive, but knowledge learned there or discovered was passed on, and often attributed to the man himself.
Read more here: https://www.iflscience.com/pythagorean ... -70934
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TanishaTanTan
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Xyls wrote: Mon Jan 03, 2022 4:52 am An interesting video explaining the MIP*=RE proof from last year:



This also proved the Connes embedding problem wrong.

https://en.wikipedia.org/wiki/Connes_embedding_problem
The video gave me a lot of emotions. I would like to see videos like this every day. I never had any problems with mathematics at university. But in everything else I was weak. I even found where you can pay for research papers, I used https://edubirdie.com/pay-for-research-papers for this. I didn't have much of a choice. I could have been expelled from university for poor performance.
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caltrek
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The Decimal Point Is Way Older Than We Thought
February 23, 2024

Introduction:
(IFL Science) Some inventions are so ubiquitous that it’s easy to forget someone had to come up with them in the first place. Take the decimal point, for example. There was a time when, if we wanted to write a number between zero and one, pretty much our only option was to use a fraction. At some point, however, that all changed – and it seems that point might have been about a century and a half earlier than we previously thought.

“The earliest known appearance of the decimal point was in the interpolation column of a sine table in Christopher Clavius's Astrolabium (1593),” writes Glen Van Brummelen, a Professor of Mathematical Sciences at Trinity Western University and historian of mathematics and astronomy, in a new paper investigating the history of the minute symbol.

“But this is a curious place to introduce such a significant new idea,” he argues, "and the fact that Clavius never took advantage of it in his own later writings has remained unexplained.”

Well, as it turns out, there’s a simple solution to these conundrums: Clavius wasn’t the one who came up with the decimal point at all. “We trace Clavius's use of decimal fractional numeration and the decimal point back to the work of Giovanni Bianchini (1440s),” van Brummelen explains, “whose decimal system was a distinguishing feature of his calculations in spherical astronomy and metrology.”

So who was this mysterious Bianchini, who gave us so fundamental a part of our interpretation of the world? Well, don’t worry if you don’t recall him from your math textbooks: he wasn’t actually much of a mathematician at all, but a Venetian merchant and administrator for the locally powerful d’Este family
Read more here: https://www.iflscience.com/this-very-i ... t-73083
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