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Computer simulations and visualizations of knots and other objects have long helped mathematicians to look for patterns and develop their intuition, says Jeffrey Weeks, a mathematician based in Canton, New York, who has pioneered some of those techniques since the 1980s. But, he adds, “Getting the computer to seek out patterns takes the research process to a qualitatively different level.”

The authors say the approach, described in a paper in the 2 December issue of Nature1, could benefit other areas of maths that involve large data sets.

Amazon Scholars Michael I. Jordan and Michael Kearns, and Amazon vice president and distinguished scientist Bernhard Schölkopf discuss the future of AI ahead of NeurIPS 2021. Watch the recorded event where these industry luminaries cover a range of topics including the history of ML in the past decade, its social impacts, the role of causal reasoning in ML, and whether or not autonomous, general-purpose intelligence should really be the aim of AI.

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Astronomers from the University of Texas have spotted a gigantic black hole at the heart of our galaxy’s many dwarf satellite galaxies — meaning that, in intergalactic terms, it’s just a stone’s throw away from our own Solar System.

The newly discovered black hole, dubbed Leo I, is roughly the same size as the suspected black hole at the center of the Milky Way.

It also appears to be a bit of an oddball. By measuring the gravitational pull it has on the stars surrounding it, the researchers found that it’s absolutely massive compared to the size of its host galaxy.

Due to last years success, I am back with an updated list of my 5 most promising anti-aging compounds.

There are more than 200 different geroprotective compounds. Some of these are already available as supplements, some are in clinical trials and some have FDA approval. Which are my top 5 that I think i most promising in terms of their anti-aging effects (so focusing more on healthspan than lifespan). And note the use of “promising” — there is still much work to be done to better investigate the long-term safety, dose and timings of different supplements which you should always bear in mind.

Anyway, I made this video more for a bit of fun and to make a longer summary video to pull ideas together from multiple previous videos with some new info too! So hope you like it! And disclaimer — this is not recommendation or health advise — i am not a medical doctor!!

Do my top 5 match yours?

Virtual environments have also shown promise for activists resisting digital authoritarianism. On Minecraft, Reporters Without Borders has sponsored an Uncensored Library where users could see content by dissident writers that had been censored in countries like Saudi Arabia, Russia and Vietnam. It’s possible that the metaverse may bring new promise for freedom and transparency across borders.

But the metaverse’s consequences may be even more radical.

If it becomes as all-encompassing as some predict, the metaverse may foster virtual communities, networks and economies that transcend borders and national identities. Individuals might one day identify primarily with metaverse-based decentralized autonomous organizations with their own quasi-foreign policies. Such a transition could mandate the reconceptualization of geopolitical affairs from the ground up.