From the ChatGPT subreddit: Gemini offers to pay me for a developer to fix its mess
Who exactly pays for it? Google? Or does Google send one of their interns to fix the code? Maybe Gemini does have its own bank account. Wow, I really haven't been keeping up with these advances in agentic AI.
The general idea among computer scientists is that analog TMs are not more powerful than digital TMs. The supposed advantage of an analog machine is that it can store real numbers that vary continuously while digital machines can only store discrete values, and a real number would require an infinite number of discrete values to simulate. However, each real number "stored" by an analog machine can only be measured up to a certain precision, due to noise, quantum effects, or just the fact that nothing is infinitely precise in real life. So, in any reasonable model of analog machines, a digital machine can simulate an analog value just fine by using enough precision.
There aren't many formal proofs that digital and analog are equivalent, since any such proof would depend on exactly how you model an analog machine. Here is one example.
Quantum computers are in fact (believed to be) more powerful than classical digital TMs in terms of efficiency, but the reasons for why they are more powerful are not easy to explain without a fair bit of math. This causes techbros to get some interesting ideas on what they think quantum computers are capable of. I've seen enough nonsense about quantum machine learning for a lifetime. Also, there is the issue of when practical quantum computers will be built.