If LLMs Have No Memory, How Do They Remember Anything?

A technical but approachable guide to how large language models handle memory - from the math behind statelessness to the engineering behind systems that make AI feel like it actually knows you. An LLM is just a math function. A stateless one. Let’s start with the uncomfortable truth. At its core, a large language model - at inference time - is nothing than a parameterized mathematical function. It takes an input, runs it through billions of learned parameters, and produces an output.