Independent Events
Two events are independent when knowing one occurs does not change the probability of the other.
Definition · Example · CSE Use →A–Z Math Terms & Definitions
Free mathematical definitions, examples and Computer Science applications for school, college and BSc in CSE students.
All TermsAlgebra 16Algorithm Math & Complexity 10Arithmetic 1Calculus 16Discrete Mathematics 15Functions 15Geometry 2Geometry & Trigonometry 5Graph Theory & Trees 15Graphics & Machine Learning Math 5Linear Algebra 15Logic & Boolean Algebra 20Number Theory 15Numerical Methods 10Probability 15Set Theory 15Statistics 15Trigonometry 1
Inequality
An inequality compares two values or expressions using symbols such as <, >, ≤ or ≥.
Definition · Example · CSE Use →Integer
Integers include negative whole numbers, zero and positive whole numbers.
Definition · Example · CSE Use →Integral
A mathematical tool used to accumulate quantities, such as area under a curve.
Definition · Example · CSE Use →Interpolation
Interpolation estimates values between known data points.
Definition · Example · CSE Use →Intersection
The intersection of two sets contains elements common to both sets.
Definition · Example · CSE Use →Inverse Function
An inverse function reverses the effect of a bijective function.
Definition · Example · CSE Use →Inverse Matrix
The inverse of a square matrix A is a matrix A⁻¹ such that their product is the identity matrix.
Definition · Example · CSE Use →Irrational Number
An irrational number cannot be represented as a ratio of two integers.
Definition · Example · CSE Use →Least Common Multiple
The least common multiple is the smallest positive integer divisible by each of the given integers.
Definition · Example · CSE Use →Limit
A limit describes the value a function approaches as its input approaches a particular point.
Definition · Example · CSE Use →Linear Equation
A linear equation is an equation whose variables have highest power 1.
Definition · Example · CSE Use →Linear Independence
Vectors are linearly independent when no non-trivial linear combination of them equals the zero vector.
Definition · Example · CSE Use →Linear Regression
Linear regression models a response as a linear function of one or more predictors.
Definition · Example · CSE Use →Logarithm
A logarithm is the exponent to which a base must be raised to obtain a given number.
Definition · Example · CSE Use →Logarithmic Function
A logarithmic function is the inverse of an exponential function.
Definition · Example · CSE Use →Logarithmic Growth
Logarithmic growth increases very slowly as input size grows.
Definition · Example · CSE Use →Logical Equivalence
Two logical expressions are logically equivalent when they have identical truth values for all inputs.
Definition · Example · CSE Use →Mathematical Induction
Mathematical induction proves a statement for all integers by establishing a base case and an inductive step.
Definition · Example · CSE Use →Matrix
A matrix is a rectangular array of numbers arranged in rows and columns.
Definition · Example · CSE Use →Matrix Multiplication
Matrix multiplication combines rows of the first matrix with columns of the second.
Definition · Example · CSE Use →Mean
The arithmetic average found by adding values and dividing by the number of values.
Definition · Example · CSE Use →Median
The median is the middle value after data are sorted, or the average of the two middle values for an even count.
Definition · Example · CSE Use →Minimum Spanning Tree
A minimum spanning tree is a spanning tree with the smallest total edge weight.
Definition · Example · CSE Use →Mode
The mode is the value that occurs most frequently in a dataset.
Definition · Example · CSE Use →Modular Arithmetic
Modular arithmetic works with remainders after division by a modulus.
Definition · Example · CSE Use →Monomial
A monomial is a polynomial with exactly one term.
Definition · Example · CSE Use →NAND
NAND is the negation of AND and is false only when all inputs are true.
Definition · Example · CSE Use →Natural Number
Natural numbers are non-negative or positive counting numbers, depending on convention.
Definition · Example · CSE Use →Negation
Negation reverses the truth value of a proposition.
Definition · Example · CSE Use →Newton-Raphson Method
Newton-Raphson finds roots using tangent-line updates from a current estimate.
Definition · Example · CSE Use →NOR
NOR is the negation of OR and is true only when all inputs are false.
Definition · Example · CSE Use →Normal Distribution
The normal distribution is a symmetric bell-shaped continuous probability distribution defined by its mean and variance.
Definition · Example · CSE Use →Numerical Analysis
Numerical analysis studies algorithms for approximating mathematical quantities and solving problems on computers.
Definition · Example · CSE Use →Numerical Integration
Numerical integration approximates definite integrals using weighted sums of function values.
Definition · Example · CSE Use →One-to-One Function
A one-to-one or injective function never maps two different inputs to the same output.
Definition · Example · CSE Use →Onto Function
An onto or surjective function reaches every element of its codomain.
Definition · Example · CSE Use →Optimization
Optimization is the process of finding input values that minimize or maximize an objective function.
Definition · Example · CSE Use →Partial Derivative
A partial derivative differentiates a multivariable function with respect to one variable while holding the others constant.
Definition · Example · CSE Use →Partial Order
A partial order is a reflexive, antisymmetric and transitive relation.
Definition · Example · CSE Use →Path
A path is a sequence of adjacent vertices with no repeated vertex in the simplest definition.
Definition · Example · CSE Use →Percentile
A percentile indicates the value below which a given percentage of observations fall.
Definition · Example · CSE Use →Permutation
A permutation is an arrangement of objects in which order matters.
Definition · Example · CSE Use →Piecewise Function
A piecewise function uses different formulas for different parts of its domain.
Definition · Example · CSE Use →Pigeonhole Principle
The pigeonhole principle says that placing more objects than containers forces at least one container to hold multiple objects.
Definition · Example · CSE Use →Polynomial
A polynomial is an expression formed from variables and coefficients using non-negative integer powers and addition or subtraction.
Definition · Example · CSE Use →Polynomial Growth
Polynomial growth has the form nᵏ for a fixed constant k.
Definition · Example · CSE Use →Population
A population is the complete collection of individuals, measurements or outcomes of interest.
Definition · Example · CSE Use →