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How the “Frontier” Became the Slogan of Uncontrolled AI
Artificial intelligence (AI) has been billed as the next frontier of humanity: the newly available expanse whose exploration …
From Gödel's Lost Letter and P=NP
Integer Multiplication in NlogN Time
A win for multi-variable polynomials Composite crop from src1, src2 David Harvey and Joris van der Hoeven are computational mathematicians. They have just released...
From Gödel's Lost Letter and P=NP
The Shortest Path To The Abel Prize
While melding topology, geometry, and analysis IAS page Karen Uhlenbeck is a mathematician who has won a number of awards in the past and has just now been announced...
From Gödel's Lost Letter and P=NP
Leprechauns Go Universal
Facing nonexistential realities Neil L. is a Leprechaun. He has graced these pages before. Today, the day before St. Patrick’s Day, we ponder universal riddles...
From Gödel's Lost Letter and P=NP
Problems With a Point
Bill and Clyde’s new book Bill Gasarch and Clyde Kruskal are colleagues in Computer Science at the University of Maryland. They have just seen the publication of...
From Gödel's Lost Letter and P=NP
Making A Mapping Injective
Finding a set of nearly independent objects Wikipedia bio source Giuseppe Vitali was the mathematician who famously used the Axiom of Choice, in 1905, to give the...
From Gödel's Lost Letter and P=NP
Have Ten Years Brought Us Closer?
To solving the big questions, that is Cropped from Device Plus source Tetsuya Miyamoto is a mathematics teacher who divides his time between Tokyo and Manhattan...
From Gödel's Lost Letter and P=NP
A Strange Horizon
Data science of many things including citations Amazon India source Paul Allison is an emeritus professor of sociology at the University of Pennsylvania and the...
From Gödel's Lost Letter and P=NP
Primes And Polynomials
A result on the prime divisors of polynomial values Cropped from source Issai Schur was a mathematician who obtained his doctorate over a hundred years ago. He...
From Gödel's Lost Letter and P=NP
A Simple Fact
Can we find a simplest proof? Composite crop from src1, src2 Joseph Wedderburn and Leonard Dickson proved Wedderburn’s “Little” Theorem: that every finite ring...
From Gödel's Lost Letter and P=NP
Jean Bourgain 1954–2018 and Michael Atiyah 1929–2019
A tribute to two premier analysts From Flanders Today src1 and Ryle Trust Lecture src2 Baron Jean Bourgain and Sir Michael Atiyah passed away within the past three...
From Gödel's Lost Letter and P=NP
Predictions For 2019
The problem of predicting ‘when’ not just ‘what’ Cropped from Toronto Star source Isaac Asimov was a prolific writer of science fiction and nonfiction. Thirty-five...
From Gödel's Lost Letter and P=NP
ACM Great Results
A Puck-ish take on promised technological advances Wikimedia Commons source Knecht Ruprecht accompanies Santa Claus in Germany. He brings gifts to good children...
From Gödel's Lost Letter and P=NP
Explanations and Explorations
Comparing proofs for the Jaccard metric BetterExplained source Kalid Azad is the founder of the website Better Explained. It is devoted to explaining mathematical...
From Gödel's Lost Letter and P=NP
Explaining The Jaccard Metric
Why is it a metric? Composite of source 1, source 2 Paul Jaccard was a botanist who worked at ETH in Zurich during much of the first half of the 20th century. He...
From Gödel's Lost Letter and P=NP
A Tiebreak Win and the Problem of Draws
Carlsen impressed in fast chess, but what of classical? Cropped from AFP/Getty source (Irish Times) Magnus Carlsen retained his title of World Chess Champion on...
From Gödel's Lost Letter and P=NP
Far From a Turkey Shoot
Chess and draws and explainable AI Guardian Live source Magnus Carlsen and Fabiano Caruana have drawn the first eleven games of their world championship chess match...
From Gödel's Lost Letter and P=NP
A Thanksgiving Treat
Another proof that there are an infinite number of primes of a special form Cropped from Packard Fellow src Trevor Wooley is a professor of mathematics at the University...
From Gödel's Lost Letter and P=NP
A Mathematical Auction
A real auction that is happening soon. Crop from BestArts auction history source Samuel Baker and James Christie founded the two premier auction houses in the world...
From Gödel's Lost Letter and P=NP
A Dumb Group Theory Question
A question on finite simple groups Cropped from Schock Prize src Michael Aschbacher is a professor of mathematics at Caltech. He was a leading figure in the classification...
From Gödel's Lost Letter and P=NP