AI Fundamentals

Array broadcasting simplifies arithmetic operations on arrays of different shapes by automatically expanding their dimensions.

Bitwise operations are mathematical operations that directly manipulate bits of binary numbers.

The characteristic equation identifies the eigenvalues of a matrix in linear algebra.

Control Flow refers to the order in which individual statements, instructions, or function calls are executed in a program.

Data representation refers to the methods used to format and organize data for processing in computer systems.

A derivative function represents the rate of change of a function at any given point.

A diagonal matrix is a square matrix with non-zero elements only on its main diagonal.

A discrete variable is a type of quantitative variable that can take on a finite or countable number of values.

An evaluation metric measures the performance of an AI model using specific criteria.

First-Order Logic is a formal system used in mathematics, philosophy, and computer science for representing and reasoning about propositions.

Floating Point Arithmetic is a method for representing real numbers in computing, allowing for a wide range of values.

Formal logic is a system of reasoning based on structured principles and symbols to evaluate arguments and statements.

A gradient vector indicates the direction and rate of change of a function at a specific point in multi-dimensional space.

An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, serving as the multiplicative identity in matrix operations.

Independent and Identically Distributed (IID) refers to a set of random variables that are both independent and share the same probability distribution.

An inflection point in AI refers to a moment when significant change occurs in technology, performance, or trends.

Introductory AI refers to foundational concepts and techniques in artificial intelligence for beginners.

Knowledge Boundary refers to the limits of what is known or understood in a particular domain or subject area.

Lazy evaluation is a programming technique that delays computation until its result is needed, optimizing resource use.

A learning objective outlines the specific skills or knowledge students are expected to gain from a lesson or course.

Left-to-Right Parsing is a method of analyzing and interpreting strings of symbols in a sequential manner.

Lie algebras are mathematical structures used in algebra and physics to study symmetries and transformations.

Linear Algebra is a branch of mathematics focusing on vector spaces and linear mappings between these spaces.

Linear independence refers to a condition in vector spaces where no vector can be expressed as a linear combination of others.

Matrix addition is the operation of adding corresponding elements of two matrices to form a new matrix.

The modulo operation finds the remainder of division between two integers.

A normalization factor is a value used to adjust data for comparison or analysis.

The null space is a set of vectors that, when multiplied by a matrix, yield the zero vector.