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If you consider the photon (particle), a single photon does not go through both slits at once. It takes the path of least action. It's only when the experiment is repeated that the wave-like behavior emerges. The wave function is simply a probability approximation of the least action required for any set of start and end position.

So the question in the title doesn't make much sense.


Honestly I just do any arbitrary uint64, it's good enough for a majority of usecases.

Sometimes I like to have fun and encode a 1337-code easter egg in the hexadecimal representation


Fully agree! 3blue1brown is who have single-handedly thought me a majority of what I've needed to know about it.

I actually started building my own neural network framework last week in C++! It's a great way to delve into the details of how they work. It currently supports only dense MLP's, but does so quite well, and work is underway for convolutional layers and pooling layers on a separate branch.

https://github.com/perkele1989/prkl-ann


This week I started working on an educational C++ framework for building and training neural networks. It's gone quite well, and while I only have dense MLP's for now (convolutional/pooling layers still in the works), the fundamental architecture of the framework has become quite fleshed out and works really well for what it does.

It supports multiple activation functions and evaluation modes/classifications, with softmax etc. It also features adaptive learning rate, automatic overfitting prevention, and early exit when training stops converging (based on either training loss, or evaluated success rate at each epoch).

I've managed to build a model for the MNIST digits dataset, achieving a 98.55% success rate (on the eval set), but it can obviously be used to build any arbitrary dense MLP.

If you're curious and like me want to learn more about how NN's actually work, I suggest you check it out! :)


this is not progress. this is regression. who is going to maintain and further develop the software if not actual programmers? in the end the LLM's stop getting new information to be trained on, and it cant truly innovate (since its not an AGI)


Been a long time coming. They should've dismantled much earlier, no matter how good the intentions, it probably cost them, their clients, and their employees much more in the long-run to keep fighting the inevitable.

Sad day.


Good stuff! Single-file C application with zero dependencies, and well written at that, is impressive in itself. The fact that the website is super-polished too kind of threw me off guard. I kept looking for a "Pricing" tab but couldn't find one lol.

A perfect 5/7!


thank you!


> “Just mass firings … it’s not good for a business to run that way,”

Doesn't make much sense to compare government agencies with businesses. They have wildly different goals.


yes, but firing half the people running a country is a huge loss of knowledge as well. The know how and worldwide soft power we built up over a century is being destroyed within 2 months.


Disgruntled former employees with financial problems are also prime targets for foreign spies.


so youre saying they should be kept employed otherwise they might commit treason? if thats really your reasoning, thats just more reason to fire them


Anyone can commit treason given the circumstances and foreign agents know this. You should fire everyone just in case.


government agencies aren't the ones building the knowledge, know how and world wide soft power of a country. it's the people and their businesses. a government is meant to govern the administrative tasks of everything imposed by the social contract of a country, nothing more. and given that the US is built on a foundation of liberty.

how much more are american taxpayers expected to foot the bill for? a lot of them work two or three jobs and still cant make ends meet.


Giving a state's power to private companies led us to where we are: reconnaissence capabilities left to the good graces of Musk. A company will never put a country before its shareholders.

The low wage comes from the companies paying little, not from the very low US income tax. In other countries people pay 50% income tax and earn way more nevertheless.


I literally earn 4x more from my US clients than from my EU clients, living in EU. Economics is much too complex to be reduced down to "companies are paying too little". It all comes down to inflation and what influences inflation, like international trade policy, policies on things like farming and domestic trade, but also policies that trade financial wellbeing for attempting to prevent climate change.

Mass-slaughter of chickens due to an unjustified fear of bird flu is one of very many small examples that lead to higher living costs.


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