IMO, as the CEO of Tesla, Musk should have never bought X imo from a business standpoint, even if he fully believes in full speech, because it simply traps him (most of the world has no where near as strong free speech laws as the US).
In India for example, if he doesn't kowtow to the authoritarian trending Indian government in power, he risks sinking any chance of Tesla expanding its marketshare in a democracy critical to Tesla's future.
man this is awesome. Thank you! I took my last calculus course in undergrad over 10 years ago and honestly forgot a lot of math including calculus. I am currently back in school doing my masters and struggling at the moment after forgetting this and a lot of other undergrad math topics.
Just out of curiosity, does anyone know of similar sites for linear algebra, discrete mathematics, statistics, etc?
Gilbert Strang's "Intro to Linear Algebra"[1] is widely recommended and I enjoyed it as a supplement to Friedberg, Insel, and Spence's much more formal "Linear Algebra"[2].
I learned right from FIS without any "warmup" from Strang-level material and it was rough to say the least. I came away with a good final grade and a very poor understanding of most of what I was doing, I was just grinding through proofs with little practical intuition. Good reference book, but very difficult to learn from, especially with a professor who seemed to love abstract math and didn't place high value on geometric intuition.
In general, proof-oriented undergrad classes for Linear Algebra would be either the second class they take, or it's a math major going a pathway specifically for math people. Similar to Sheldon Axler's famous book.
Maybe we are looking at a case of alien artificial intelligence, e.g. the classic hollywood scenario where an alien society was eventually replaced by sentient AI(e.g. kaylons, cylons, etc).
Trump makes the same argument, which is funny because he fired the last Director (Comey) his hand-picked successor, Christopher Wray, is still the Director of the FBI after all this time (also funny how he bashes the federal reserve, despite firing the last Chair (Janet Yellen) and his hand picked successor, Jerome Powell, still in charge of the Fed as of 2024).
Apple could easily corner the US smartphone market and a big part of the LLM hardware market in a few years.
US smartphone market? It's growing every year even with huge margins, lowering the price would accelerate this pace.
LLM hardware market? Like really, what is the incremental cost for 8gb to 16gb to 32gb to 64gb to 128gb for their macbooks? The could probably shave a few grand off the 128gb and still make a decent profit. Now you have 128gb unified memory macbook going for almost the same price as a rtx 4090 with a computer (and with only 24gb vram). That means a huge shift in hobbyist developers who will turn all their focus to ML with macbooks (e.g. MXL vs Nvidia/cuda). and if they do this with new macbooks, suddenly the market for older slower macbooks collapses, leading to much higher demand and even more hobbyists albeit with slower Cpus/less ram.
It sucks but apple laptop cpus and mobile cpus dominate anything else out there. I wish there were more competition. And their margins are massive.
> It sucks but apple laptop cpus and mobile cpus dominate anything else out there. I wish there were more competition. And their margins are massive.
Ryzen 7940HS and 7945HX are fairly close to the M3 16 core, if they had actually been able to build them on the same node, and if AMD were willing to shell out for the same die size, it's likely that they could have achieved or exceeded the uplift.
> if they had actually been able to build them on the same node, and if AMD were willing to shell out for the same die size, it's likely that they could have achieved or exceeded the uplift.
I mean yeah, probably, but they haven't been able to despite apple coming out of nowhere to dominate the laptop cpu market in performance only a few years ago with their first release m1. If AMD were to shell out more, and be able to build them on the same node, that would probably entail significant R&D costs and costs for die size and possibly raise the price to the m3 max or m3 ultra (whenever that's released).
>Ryzen 7940HS and 7945HX are fairly close to the M3 16 core,
https://nanoreview.net/en/cpu-compare/apple-m3-vs-amd-ryzen-...
fair, i didn't know about these cpus, and it seems they absolutely destroy the base m3 in multicore performance. However, it looks like even the base m3 still far exceeds the 7945HX in igpu performance, power efficiency (probably because 3nm vs 5nm) and slightly beats the 7945HX in single core performance. And the Ryzen 9 is the best AMD has to offer right now, the M3 is the base model (apple still has the pro, the max and the soon to be released ultra). The price of 7945HX laptops also already seems a lot higher than base m3 macbooks (and again I think any ram upcharge is basically pure profit for Apple).
Now i haven't even mentioned AI cores. Even M1 series from years ago still seem far ahead of most laptop cpus today it seems for hobbyists running LLMS. I'm not sure if that's something the 7945HX competes vs Apple with?
Yeah, 7945HX laptops are going to use a dedicated GPU like the 7900M or 4090 because the integrated graphics on there is mostly... vestigial. 2 CU basically means 2 cores (from the last generation) in Apple terms. Rumours are AMD might shove a (laptop) 4070-ish GPU with 40 CU into the next refresh (if I had to guess the numbering, 9950HS) but I don't think they would see a point in going higher than that (if they even try that much), because the higher GPU performance segments are going to be served by their dedicated GPUs paired with the HX CPUs that have 2 CU.
AMD doesn't really have the volume to outbid Apple on the leading nodes, so what they do get is going to keep going to server/HPC. That stuff is more money for them anyway. Adding more cores, both CPU and GPU and shrinking to TSMC's latest node, it isn't easy but it's technically simple enough that they could do it in a few months if they thought there was enough of a market for it. There just isn't, unfortunately.
The chart is likely way off and extremely optimistic. Based on a few key metrics, the 2022 UN report data has pretty much been debunked, and China's population will roughly halve by 2060, much faster than 2100 (what the UN predicted).
"The UN's projection, for instance, was based on the assumption that China's fertility rate would remain at above 1.7 children per woman. China had 12 million newborns last year, 25% lower than the UN's..."
That's a big assumption to even believe the official birth rate, but it's much lower than the UN's number.
In 2022 the official number plummeted even more: "released data indicating that last year’s fertility rate fell to 1.09 from 1.15 in 2021, below Japan’s rate for the same time period and only slightly higher than South Korea’s, which was estimated to be 0.8."
At this rate I wouldn't be surprised if China's population halves before 2060. I wonder how long it will take before the CCP, vowing control over any thing else, starts to implement a draconian multiple child policy (the exact opposite of a one child policy).
I think part of the reason is Tesla's have crazy fast acceleration and are also probably by far the largest market penetration of cars with that level of acceleration. People migrating from most conventional cars aren't used to driving sports cars. Also anecdotally given the acceleration, a few of my friends that drive teslas sometimes seem to ignore yellow lights.
In India for example, if he doesn't kowtow to the authoritarian trending Indian government in power, he risks sinking any chance of Tesla expanding its marketshare in a democracy critical to Tesla's future.
The same goes for Tesla in Turkey. https://www.politico.eu/article/turkey-erdogan-asks-us-elon-... . If X starts standing up for speech there, this could sink their future plans in another valuable market.
I think the fact that he backtracked on Brazil ( https://www.bloomberg.com/news/articles/2024-04-16/musk-s-x-... ) might also show that he also worries about Tesla's future in Brazil.