A fair coin has an equal chance of landing on Heads or Tails. Sample space contains all possible outcomes in a probabilistic experiment. Probability of single flip is 1/2 for Heads and Tails
Greater than (>) and less than (<) symbols indicate comparisons. Greater than or equal (≥) and less than or equal (≤) symbols represent inequalities. Symbols connect equal strokes at right angle
Large language models struggle with complex reasoning tasks requiring specific knowledge. ChatCoT integrates tool manipulation with chain-of-thought reasoning in multi-turn conversations. Framework stores knowledge about tools, tasks, and reasoning format at early turns
Derivative of constant is 0, derivative of x is 1. Derivative of x^n is nx^(n-1). Square root derivative is 1/2√x
Both are LLMs designed to generate human-like text responses. Claude focuses on safety, accuracy, and ethical considerations. ChatGPT emphasizes objective, rational, and informative responses
Tangent touches a circle at one point, forming a right angle with radius. Secant intersects a circle at two points, passing through its interior