Life Hack
1. Install Telegram
2. Create a private channel or group.
3. Remove everyone so it’s just you.
4. Upload files, notes, videos - anything you want to keep.
5. Anytime you lose your phone or switch devices, just log in and download everything again.
That’s basically your own unlimited cloud storage.
How can one signal speak four mathematical languages?
- Fourier exposes pure frequencies.
- Laplace tracks growth and decay.
- Wavelets zoom across scales.
- The Z-transform handles discrete sequences.
They power JPEG compression, MRI scans, robot control systems, and the noise filters in your earbuds.
Choosing the right transform does not alter reality: it reveals hidden structure.
Which transform do you use most in your field?
The word “tensor” makes advanced physics sound harder than it is. At its core, it is a generalization of familiar objects: scalars, vectors and matrices. The interesting part is what happens when you stop thinking in terms of rows and columns and start thinking in terms of indices and dimensions.
Look closely: the left-hand sides match exactly. Only the right-hand side differs, yet the solutions change from eternal equilibrium to irreversible smoothing to everlasting oscillation.
Laplace’s equation insists that the value of u at any point equals its average over every surrounding circle. The functions that survive are the harmonic ones, as rigid as possible.
A first-order time derivative turns the equation into pure diffusion. Gradients dissolve, information is lost forever, and the future cannot reconstruct the past.
A second-order time derivative restores reversibility. Disturbances propagate at finite speed, energy is conserved, and time looks the same in both directions.
These three operators together predict the electrostatic potential of a charged conductor, the temperature history of a cooling billet, and the resonant frequencies of a drumhead.
Which single change of derivative struck you as the most radical when you first met the solutions?
Hey @Trezor, just lost my life savings. Top sponsored Google result for 'Trezor wallet' is a phishing site!
The scam page (sites.google.com/view/start-tre…) is vacuuming up millions. Harvesting address is currently sitting at:
bc1qrz33mr7tx8wrpcs2pxrvv83hqwpm907s9shkz4 @zachxbt@CertiK
How I'd Secure a Life Changing Amount of Bitcoin
If I were helping a friend secure a life changing amount of Bitcoin from scratch, this is the process I'd recommend:
1. Purchase two Bitcoin only hardware wallets from two different vendors and create a collaborative custody 2 of 3 multisig vault with @unchained , where you hold two keys and Unchained securely holds the third.
2. Generate each hardware wallet 24 word seed using a minimum of 100 dice rolls. Do not rely solely on the hardware wallet's random number generator.
3. Back up each seed on titanium and store every backup in separate secure geographic locations.
4. Download and save the Bitcoin config file immediately. Print multiple paper copies and store them in separate secure geographic locations. Unchained also retains a copy, but your recovery plan should never depend on a third party. This file contains the information required to reconstruct your multisig wallet, including the xpubs and derivation paths.
5. Import the Bitcoin config file into Sparrow Wallet.
6. Compare the receive addresses shown in Sparrow Wallet with those shown in Unchained and ensure they match exactly.
7. Send a small amount of bitcoin to your new multisig wallet.
8. Confirm the UTXO appears correctly in both Sparrow Wallet and Unchained.
9. Wipe both signing devices completely.
10. Recreate the watch only wallet in Sparrow Wallet using only the Bitcoin config file.
11. Restore both signing devices from their titanium seed backups.
12. Verify each restored signing device can successfully participate in signing for the reconstructed wallet using your normal workflow, whether USB, QR codes or microSD. Confirm the receive addresses still match those shown in Unchained and that the test UTXO is visible.
13. Spend the test bitcoin to a separate wallet you control and verify the transaction is successfully broadcast and confirmed.
14. Never use that original receive address again. Generate a fresh receive address for your long term bitcoin holdings and always use a fresh receive address for every future deposit.
15. Only after successfully completing every step above should you transfer a meaningful amount of bitcoin to the new receive address.
I hope someone finds this useful. This isn't the only way to self custody bitcoin. It's simply the process I'd be comfortable recommending to friends and family.
this quant paper is f*cking insane
a former Morgan Stanley quant who went on to found his own hedge fund just gave the whole thing away.
224 pages, and it's not theory, it's the exact winning algorithmic strategies with every single line of code included.
the crazy part is this level of detail almost never leaves the walls of a fund, let alone gets released for free.
if you've been wanting to start quant trading but didn't know where to begin, this is the starting point.
bookmark now before it disappears.
Because of the current progress in AI, many people are starting to think that the Riemann hypothesis could be solved ''soon''!
In the meantime, I suggest you to read this fantastic presentation (40 pages) by the legend Alain Connes, titled 'The Riemann Hypothesis: Past, Present and a Letter Through Time', a (technical) history of the Riemann hypothesis (and more).
🔗👇
I am getting a lot of questions about a Bitcoin multi-sig setup so I thought I'd create this quick guide.
This is now the gold standard for serious self custody.
Any single device can fail or have a flaw. Multi-sig removes the single point of failure.
1) The equipment:
Mix
The Bitcoin subreddit is absolutely heartbreaking right now.
So many people have been destroyed.
I recommend having a look because it gives you a different perspective compared to X.
Really sad.
I’ve spent well over 10,000 hours studying math in my life, yet I can’t understand these proofs, at least not without weeks of digging deep into each topic. What’s more, none of my math PhD friends know much about these problems either, and they can’t verify most of them without working directly in the field (yes, math is VERY diverse).
LLMs are getting smarter than the experts themselves, and I’m not sure we have enough bright human minds to verify everything that will come out of them in the coming years.
Remember when we compared AI intelligence to PhD students? I think we’re past that.
An internal version of Astra, @OpenAI’s next major model family, solved 10 major open problems in mathematics, quantum complexity, and theoretical computer science.
We believe it will be a major step for scientific reasoning. openai.com/index/ten-adva…
Back in early 2014, Coinkite brought me on as "Chief Naysayer", what was supposed to be an advisory position. This was years before their first hardware wallet, back when it was just a website.
They even did a press release... then... Nothing. I didn't get any actual tasks from them to advise on, and IIRC didn't get any payment as I had nothing to actually bill them for. They just dropped the whole thing. It's still on my LinkedIn as I haven't actually logged into LinkedIn in a decade... I should remove that...
If they'd actually kept me on and asked me to do some audits of their codebases, there's a good chance I'd have at least spotted the terrible coding practices that @dusty_daemon outlines in this article. Maybe $80 million wouldn't have been stolen.
An audit would have probably been something like $50k worth of work. What did they spend on podcaster promotions?
Just stupid.
I'm glad to say I've been skeptical of singlesig hardware wallets for years, and don't use them myself. I did an interview in 2020 outlining why: youtu.be/vfK8OsuQ3qU
JUST IN: Dustin Dettmer (@dusty_daemon) digs into the COLDCARD firmware commit history to uncover what actually happened in the code to introduce one of the worst bugs for self-custody in recent bitcoin history
open.substack.com/pub/btcpp/p/wh…
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