Where Is Mathematics Going? Large Language Models And Lean Proof Assistant

If you’re a hacker you may well have a passing interest in math, and if you have an interest in math you might like to hear about the direction of mathematical research. In a talk on this topic [Kevin Buzzard], professor of pure mathematics at Imperial College London, asks the question: Where is Mathematics Going?

It starts by explaining that in 2017 he had a mid-life crisis, of sorts, becoming disillusioned with the way mathematics research was being done, and he started looking to computer science for solutions.

He credits Euclid, as many do, with writing down some axioms and starting mathematics, over 2,000 years ago. From axioms came deductions, and deductions became mathematical facts, and math proceeded in this fashion. This continues to be the way mathematical research is done in mathematical departments around the world. The consequence of this is that mathematics is now incomprehensibly large. Similarly the mathematical proofs themselves are exceedingly large, he gives an example of one proof that is 10,000 pages long and still hasn’t been completely written down after having been announced more than 20 years ago.

The conclusion from this is that mathematics has become so complex that traditional methods of documenting it struggle to cope. He says that a tertiary education in mathematics aims to “get students to the 1940s”, whereas a tertiary education in computer science will expose students to the state of the art.

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ASIC physical layout

The Entire Process Of Building An Open Source Analog ASIC

Our hacker [Pat Deegan] of Psychogenic Technologies shows us the entire process of designing an analog ASIC. An ASIC is of course an Application-Specific Integrated Circuit, which is basically just custom hardware. That’s right, “just” custom hardware.

Services such as those from Tiny Tapeout make it possible to get your hardware designs built. And tools such as those found in Tiny Tapeout Analog Design VM with Skywater 130 PDK make it possible to get your hardware designs… designed.

In the video [Pat] takes you through using xschem (for schematic capture) and magic (for physical layout) to design a custom ADC. We learn that when it comes to hardware you have the choice of many different types of FETs, and not much else. Capacitors are expensive and to be avoided. Inductors are verboten. Getting specific values for things (such as resistors) is pretty much impossible so you generally just have to hope that things come out in relative proportions.

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Honoring The Legacy Of Robert Murray-Smith

We at Hackaday are deeply saddened to learn of the passing of Robert Murray-Smith. The prolific experimenter had spent over a decade on YouTube, creating more than 2,500 videos where he gleefully demonstrated his seemingly endless collection of homemade contraptions. At least eighteen of which ended up on the pages of Hackaday since we first crossed paths with him back in 2013.

Like many of you, we were also shocked to find that Robert made the decision to end his own life. As cliché as it might sound, he simply didn’t seem like the type. His demeanor was always boisterous in his videos, exhibiting an almost child-like joy as he showed off his latest creation with a laugh and smile.

But as explained by his brother Dave in the brief announcement video posted yesterday, his outward appearance was a well-rehearsed mask that covered a deepening depression. Regular viewers of Robert’s videos knew he lost his wife, as he shared a memorial video for her in April of 2024. What he was less open about with his viewers was his own health, which it turns out had been rapidly declining for the last few months.

We now know that simply getting up and walking around had become painful for Robert, a fact obscured by the fact that most of his videos saw him seated at his workbench or in the back garden. That he was able to continue making so many videos at all speaks not only to his passion for technology and engineering, but the great love he had for the community that he’d built.

From the video we also learned that Robert found it very difficult to discuss his declining mental and physical health with friends and family. For men of his generation, the “strong and silent type” was often the ideal. Given all that he was going through, nobody could fault him for experiencing a sense of hopelessness, and yet his brother explains that Robert would never admit to the difficulties he was facing. Whenever pushed to talk about his feelings, he’d respond with that phrase which we’ve all heard (and maybe used once or twice) — “I’m fine.”

Because of this, Robert’s family has partnered with the suicide prevention charity CALM (Campaign Against Living Miserably) to try and raise awareness about men’s mental health. They ask that anyone who wishes to honor Robert make a donation to CALM, in the hopes that they can help others who may find themselves in a similar situation.

It’s no great secret that many in the hacker and maker communities face their own daily struggles. Whether it’s from being neurodivergent, or the inability to fit in with mainstream society. Several of the staff here at Hackaday are from marginalized groups, and even among those who aren’t, let’s just say we have it on good authority that most of them didn’t get to sit with the “cool kids” back in high school. We also know that, just like Robert, many in the community find it difficult to communicate with others about how this impacts their mental health.

The lasting legacy of Robert Murray-Smith will of course be his incredible body of work, which will continue to inspire millions of viewers. But we can also honor him by making sure that we’re looking out for the well-being of friends, family, and even ourselves. There are resources available, and there’s no shame in asking for help when you need it.

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FLOSS Weekly Episode 850: One ROM To Rule Them All

This week Jonathan and Aaron chat with Piers Finlayson about One ROM! Why does the retro-computing world need a solution for replacement ROMs? How difficult was it to squeeze a MCU and layout into the original ROM footprint? And what’s next for the project? Listen to find out!

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Ask Hackaday: Why Is TTL 5 Volts?

The familiar five volts standard from back in the TTL days always struck me as odd. Back when I was just a poor kid trying to cobble together my first circuits from the Forrest Mims Engineer’s Notebook, TTL was always a problem. That narrow 4.75 V to 5.25 V spec for Vcc was hard to hit, thanks to being too poor to buy or build a dedicated 5 V power supply. Yes, I could have wired up four 1.5 V dry cells and used a series diode to drop it down into range, but that was awkward and went through batteries pretty fast once you got past more than a few chips.

As a hobbyist, the five volt TTL standard always seemed a little capricious, but I strongly suspected there had to be a solid reason behind it. To get some insights into the engineering rationale, I did what anyone living in the future would do: I asked ChatGPT. My question was simple: “How did five volts become the standard voltage for TTL logic chips?” And while overall the answers were plausible, like every other time I use the chatbot, they left me wanting more.

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A Minicomputer Tape Drive Receives Some Love

Taking on a refrigerator-sized minicomputer  is not for the faint-hearted, but [Usagi Electric] has done it with a DEC PDP-11/44. He’s not doing it in half measures either, for his machine is tricked out with an impressive array of upgrades. Among them however is no storage, and with two co-processors there’s a meager 3U of rack space left. The plan is to fit a period 8″ hard drive in the space alongside a TU50 tape dive, and it’s this final component that’s the subject of his latest video.

DEC never did anything by halves, and a DECTape II cartridge is more than a simple container for tape reels. Instead it has a capstan of its own that engages with one in the drive, and an internal drive belt that moves the reels. All the rubber parts in both tapes and drive are thoroughly perished, and it’s impressive that he manages to find inexpensive modern polymer alternatives. The original drive is probably intended for a VAX system, thus it has the interesting feature of a second drive mechanism out of sight to hold a tape containing microcode.

Having reconditioned the drive, it goes in behind a custom front panel, and though there’s no useful data to test it with on the tapes he has, it appears all working. You can see it all in the video below the break, and if you’re interested further we’ve covered this machine in the past.

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Reshaping Eyeballs With Electricity, No Lasers Or Cutting Required

Glasses are perhaps the most non-invasive method of vision correction, followed by contact lenses. Each have their drawbacks though, and some seek more permanent solutions in the form of laser eye surgeries like LASIK, aiming to reshape their corneas for better visual clarity. However, these methods often involve cutting into the eye itself, and it hardly gets any more invasive than that.

A new surgical method could have benefits in this regard, allowing correction in a single procedure that requires no lasers and no surgical cutting of the eye itself. The idea is to use electricity to help reshape the eye back towards greater optical performance.

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