Deepmind is saying people are learning from the algorithms AlphaEvolve is generating. They say the programs tend to be short.

So maybe we will understand the algorithms

And PBT is so close to language level invariants/preconditions/post-conditions that I dream of

A lean proof is a sequence of instructions that starts with a list of facts, and combines them into new facts until a target fact is produced. Each instruction in the sequence is one of a few allowed tactics provided by lean that always produce correct facts from correct facts.

IF (1) you agree with the starting facts, (2) you are sure the target fact is what you're actually trying to prove and (3) the lean compiler says "yep, this is a valid sequence of instructions" THEN you can be sure the target fact is true.

You can be sure the final fact is true, even if you don't understand all the steps, because it's written in lean, and lean only allows steps that are free from omissions or errors

A programmer translates a natural-language spec into a machine-readable spec, feeds it to an AI-assisted compiler, and out pops an implementation that's more optimized than any human could ever hope to write, along with a lean proof of its correctness.

Most textbooks sold are bought by students because they were required for a course. Students are not choosing a textbook by cover because they're not choosing a textbook at all. Professors choosing which textbook to assign are doing so based on the content, because that's what they'll be teaching. Professors also get a lot of free sample copies, and are probably choosing between those instead of purchasing their own set of candidates based on the cover.

I don't know if it was written that way to show trust in the reader's intelligence, show disregard for reaching a wide audience, show a demonstration of skill, or was artifact of someone just thinking at that level.

Say you buy a house with a loan, and sell it after x years. The total cost of ownership is interest paid to the bank + buy price - sell price. If you bought a house at $600k expecting to sell it in a few years at $700k, but it'll actually sell for $500k, your TCO went up by $200k. The sudden switch to depreciation made the same house much more expensive to own. Prices have to slowly go from rising to steady and then to falling, otherwisw everyone is suddenly living way beyond their means.

Comments URL: https://news.ycombinator.com/item?id=48254507

Points: 7

# Comments: 1

However, scrollbars, context menus, modal windows, and date pickers are rendered within the extents of the web page, and get replaced all the time.

It is my opinion that these controls don't need to be styled to match the website, because they're not part of the website. They're part of the browser. Non-diegetic. Outside the fourth wall.

It was too complex for me to create when I started, so I learned as I went.

In personal projects, I only use LLMs for when I don't care and I don't want to learn. For example, all the WebGL APIs. I am perfectly fine not knowing how to allocate, initialize, and bind a shaderbufferindexobjectstoragehandlepointerarray. But I'll do the fun parts, the interface design and algorithms, by myself.

https://www.shadertoy.com/view/sXsGDl

> Whatever your conception of the modern university, whether grand or grim, understanding the current landscape of campus-wide AI use, much less its intensification, should destroy it.

You can use it design 3D objects with mathematics and bring them into the real world with 3D printing.

You can use it to create 3D models that are impossible to create with CAD, CSG, sculpting, or mesh-based tools.

You can build on a decade of community SDF development on Shadertoy because sdf2stl uses the same language.

A few days ago I may have become the first person to 3D print the equation x^4+y^4+z^4-x^2-y^-z^2+.4=0 (Goursat's surface) https://www.printables.com/model/1713835-goursats-surface

Please try it out and tell me what you think.

https://sdf2stl.saej.in

I once wrote about inherent, irreducible complexity and how we try to deal with it. The draft has sections on how complexity can be hidden, spread out, localized, passed off, or recreated from scratch. Unfortunately, people are now using LLMs to pile complexity on the simplest of tasks, and my essay isn't really worth finishing.