1. Powers, Roots, and Logarithms
The most basic operations in mathematics, after addition and multiplication, are powers and roots. An exponent tells you how many times to multiply a base by itself: \(a^n\) means...
Read full chapter →The essential AI Math Beginner cheat sheet: 7 concise chapters you can read in minutes, distilled from the full deck. When you're ready, drill the flashcards or test yourself under exam conditions.
The most basic operations in mathematics, after addition and multiplication, are powers and roots. An exponent tells you how many times to multiply a base by itself: \(a^n\) means...
Read full chapter →Algebra is the language of unknowns. A variable, usually a letter like \(x\) or \(\theta\), stands in for a number we may or may not know, and an expression combines variables with...
Read full chapter →A function is a rule that assigns exactly one output to each input, written \(y = f(x)\) and read \(f\) of \(x\). The domain is the set of valid inputs and the range is the set of...
Read full chapter →A sequence is an ordered list of numbers indexed by the positive integers, \(a_1, a_2, a_3, \ldots\), with a general term \(a_n\) given by some formula. The simplest families are a...
Read full chapter →Calculus is built on the idea of a limit. The notation \(\lim_{x \to a} f(x) = L\) means that as \(x\) gets arbitrarily close to \(a\), the values \(f(x)\) get arbitrarily close to...
Read full chapter →Multivariable calculus extends differentiation to functions of many variables. The partial derivative \(\partial f/\partial x_i\) measures how \(f\) changes when only \(x_i\) moves...
Read full chapter →Probability theory formalizes uncertainty. A sample space \(\Omega\) contains all possible outcomes, and events are subsets of \(\Omega\). For a uniform sample space, the probabili...
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