Why This Number is Everywhere (ft. ChatGPT's Brain)

Описание: You’ve barely noticed it, but a single irrational number governs the growth of your money, the shape of a nautilus shell, the decay of atoms, and the intelligence of AI. This is the story of the mathematical constant e.

In this video, we unravel the mystery of 2.71828..., starting with Jacob Bernoulli's compound interest problem and its shocking limit. We then explore how Number e appears in the most unexpected places: probability, nature, and physics. Finally, we discover how e is the hidden engine behind modern Artificial Intelligence and Large Language Models like ChatGPT, acting as the core of the neural networks that power them.

Timestamps:
0:00 - Introduction to Number e
1:20 - Deterministic Nature of e
1:40 - Bernoulli's Historical Form
2:06 - Compound Interest Problem
4:57 - Richfinity?
7:04 - Limiting Behavior of Number e
8:12 - Probabilistic Nature of Number e
10:04 - Roll Length Game
11:32 - Average Roll Length and Number e
14:00 - Heart of LLM and AI (Activation Func.)
15:12 - Extro

#mathematics #numbere #ai #chatgpt #explained #math #science #neuralnetworks #machinelearning #interestingfacts #learnmath #calculus

Subscribe for more deep dives into the hidden math that shapes our world!