One Image & Daily Life#
Dividing 1 by 998,001, you will sequentially get all three-digit numbers from 000 to 999, except for 998 https://x.com/InterestingSTEM/status/1926331058703724706
Because 998,001 is 999², or (10³ - 1)². For numbers of the form 1/(10^n - 1)², the decimal expansion will generate all n-digit numbers except for (10^n - 2). Here, n=3, so 998 is skipped, which is due to the algebraic structure of the fraction. This is a well-known mathematical peculiarity that can be confirmed in sources like Numberphile and Math Stack Exchange. Similar patterns also appear in other numbers, such as 1/9801 corresponding to two-digit numbers. — Grok
One Sentence & Chuunibyou#
She didn't understand. It's my fault for choosing the wrong person to talk to. - "Your Puzzle is Answered by Me"
Inspiration & Slacking Off#
A Sci-Fi Short Story#
It is the machine world that created humanity, placing it in a simulated environment called "Earth" for experimentation. Human civilization rapidly developed and eventually announced the release of AGI, while the machines observed everything in secret.
Fermi Paradox#
The Fermi Paradox: Where are all the aliens?
The Fermi Paradox is the widely observed phenomenon that, while the conditions for intelligent life to arise in the universe do not seem rare, we have not observed any signs of life.
Knowledge & Read Later#
Introduction to Boltzmann Machines Visualization#
Deep Learning is Applied Topology#
Deep Learning is Applied Topology
From a topological perspective, deep learning, like color space or image space, suggests that the reasoning space may objectively exist, and the AI training process is essentially exploring and navigating within this pre-existing topological space.