LaTeX Equations Formatting

Why doesn’t ChatGPT use $$ and $$$$ delimiters?

User: Can you show me the sigmoid function? Use LaTeX.

ChatGPT: Certainly! The sigmoid function is commonly used in machine learning for binary classification tasks. It is defined as follows:

[
\sigma(x) = \frac{1}{1 + e^{-x}}
]

This function takes a real-valued input (x) and maps it to a value between 0 and 1.

Claude: Certainly, I can show you the sigmoid function using LaTeX notation. The sigmoid function, also known as the logistic function, is commonly used in machine learning and statistics. Here’s the equation:

\sigma(x) = \frac{1}{1 + e^{-x}}

This function has an S-shaped curve and maps any input value to an output between 0 and 1. It’s particularly useful in logistic regression and neural networks.