Groups
Category
Level
Conditional probability measures the chance of event A happening when we already know event B happened.
Kolmogorov’s axioms define probability as a measure on events: non-negativity, normalization, and countable additivity.
The Jacobian matrix collects all first-order partial derivatives of a vector-valued function, describing how small input changes linearly affect each output component.
Partial derivatives measure how a multivariable function changes when you wiggle just one input while keeping the others fixed.
Derivatives measure how fast a function changes, and rules like the product, quotient, and chain rule let us differentiate complex expressions efficiently.