User:Chrisomega123/Books/Mathematics




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Matrix group

Generating set of a group

Abel–Ruffini theorem

Topological space

Differentiable manifold

Matrix multiplication

Irreducible representation

System of linear equations

Matrix (mathematics)

Calculus

Functional analysis

Differential equation

Singular-value decomposition

Linear span

Cardinality

Dimension (vector space)

Dimension theorem for vector spaces

Kernel (linear algebra)

Eigenvalues and eigenvectors

Algebraically closed field

Complex conjugate

Definite quadratic form

Inner product space

Dirichlet conditions

Partial differential equation

Quantum mechanics

Wave function

Potential energy

Hamiltonian (quantum mechanics)

Homogeneous coordinates

Mathematical analysis

Lp space

System of polynomial equations

Algebraic geometry

Simplex algorithm

Linear programming

Transformation matrix

Church–Rosser theorem

Beta normal form

Reduction strategy (lambda calculus)

Turing completeness

Turing machine

Simply typed lambda calculus

Functional programming

Programming language theory

Foundations of mathematics

Operational definition

Recursive definition

Free variables and bound variables

First-class citizen

Operator associativity

Haskell (programming language)

Truth value

Lambda calculus definition

Regular expression

Name resolution (programming languages)

Variable shadowing

Scope (computer science)

Extensionality

Confluence (abstract rewriting)

Normalization property (abstract rewriting)

Theoretical computer science

Rewriting

Normal form (abstract rewriting)

Typed lambda calculus

Calculus of constructions

Termination analysis

Interpreter (computing)

Total functional programming

Statistical population

Statistical model

Survey methodology

Design of experiments

Census

Sample (statistics)

Experiment

Observational study

Descriptive statistics

Index (statistics)

Standard deviation

Mean

Statistical inference

Central tendency

Statistical dispersion

Probability theory

Statistical hypothesis testing

Alternative hypothesis

Null hypothesis

Type I and type II errors

Missing data

Bias (statistics)

Censoring (statistics)

Mathematical statistics

Stochastic calculus

Binomial distribution

Hypergeometric distribution

Normal distribution

Multivariate normal distribution

Multivariate random variable

Univariate distribution

Joint probability distribution

Random variable

Probability measure

Discrete time and continuous time

Stochastic process

Probability density function

Probability mass function

Categorical distribution

Probability

Measure (mathematics)

Experiment (probability theory)

Sample space

Bernoulli distribution

Negative binomial distribution

Geometric distribution

Discrete uniform distribution

Uniform distribution (continuous)

Poisson distribution

Exponential distribution

Gamma distribution

Chi-squared distribution

Chi-squared test

Variance

Student's t-distribution

Student's t-test

Beta distribution

Inductive reasoning

Dependent and independent variables

Conditional expectation

Quantile

Location parameter

Average

Ordinary least squares

Parametric statistics

Function (mathematics)

Nonparametric regression

Necessity and sufficiency

Correlation does not imply causation

Data collection

Effect size

Statistical classification

List of fields of application of statistics

Overdetermined system

Regression analysis

Degrees of freedom (statistics)

Invertible matrix

Statistical assumption

Covariance matrix

Uncorrelated random variables

Errors-in-variables models

Least squares

Homoscedasticity

Diagonal matrix

Efficiency (statistics)

Consistent estimator

Bias of an estimator

Modifiable areal unit problem

Simple linear regression

Errors and residuals

Linear least squares (mathematics)

Regression diagnostic

Goodness of fit

Statistical significance

Coefficient of determination

Central limit theorem

F-test

Limited dependent variable

Multivariate probit model

Linear probability model

Multinomial logistic regression

Ordinal data

Ordered logit

Censored regression model

Ordered probit

Heckman correction

Polychoric correlation

Bayesian linear regression

Least absolute deviations

Quantile regression

Curve fitting

Estimation theory

Fraction of variance unexplained

Function approximation

Generalized linear model

Kriging

Local regression

Multivariate adaptive regression splines

Pearson correlation coefficient

Quasi-variance

Prediction interval

Regression validation

Linear trend estimation

Statistical mechanics

Classical definition of probability

Cumulative distribution function

Bertrand paradox (probability)

Sigma-algebra

Convergence of random variables

Heavy-tailed distribution

Fat-tailed distribution

Notation in probability and statistics

Subjective logic

Independence (probability theory)

Probability interpretations

Probability axioms

List of probabilistic proofs of non-probabilistic theorems

Low-level programming language

Programming idiom

Library (computing)

Syntactic sugar

Fixed-point combinator

SKI combinator calculus

Formalism (philosophy of mathematics)

Proof theory

Categorical logic

Imperative programming

Cartesian closed category

Church–Turing thesis

Gödel numbering

Gödel's incompleteness theorems

Procedural programming

Pascal (programming language)

Subroutine

Eager evaluation

Automated theorem proving

Computational complexity theory

Explicit substitution

Closure (mathematics)

Complement (set theory)

Union (set theory)

Intersection (set theory)

Field of sets

Lebesgue integration

Sufficient statistic

Conditional probability distribution

Interval (mathematics)

Partition of a set

Real line

Ordinal number

Transfinite induction

Quantum gate

Quantum Fourier transform

Bloch sphere

Pauli matrices

Functional completeness

Billiard-ball computer

Complete Boolean algebra

Ultrafilter

Stone's representation theorem for Boolean algebras

Zero-dimensional space

Duality (mathematics)

Lindenbaum–Tarski algebra

Alexandrov topology

Specialization (pre)order

Structure (mathematical logic)

Supersymmetric theory of stochastic dynamics

Kolmogorov automorphism

Open set

Orbit (dynamics)

Logistic map

Sharkovskii's theorem

Poincaré–Bendixson theorem

Linear system

Nonlinear system

State-space representation

Rössler attractor

Non-Euclidean geometry

Plane (geometry)

Kuramoto model

Oscillation

Josephson effect

Millennium Bridge, London

Neuron

Christiaan Huygens

Cryptography

Cryptographic primitive

Confusion and diffusion

Symmetric-key algorithm

Anosov diffeomorphism

Bifurcation theory

Catastrophe theory

Chaos theory in organizational development

Kolmogorov–Arnold–Moser theorem

Synchronization of chaos

Directed acyclic graph

Tree structure

Infinitary logic

Enumerative combinatorics

Twelvefold way

Complex analysis

Asymptotic analysis

Partition (number theory)

Generating function

Symbolic method (combinatorics)

Orthogonal polynomials

Analysis

Partially ordered set

Graph theory

Graph (discrete mathematics)

Algebraic graph theory

P-adic analysis

Function field of an algebraic variety

Diophantine approximation

Transcendental number

Dynamical system (definition)

Derivative

Integral transform

Harmonic analysis

Finite topological space

Metric space

Discrete space

Discrete transform

Computational geometry

Tessellation

Combinatorial topology

Topological graph theory

Topological combinatorics

Computational topology

Queueing theory

Mathematical optimization

Scheduling (computing)

Markov chain

Process optimization

Martingale (probability theory)

Control theory

Bertrand's ballot theorem

Discrete exterior calculus

Finite difference

Probability distribution

Discrete Fourier transform

Shapley–Folkman lemma

Localization of a ring

Tangent space

Zariski tangent space

Time-scale calculus

Hybrid system

Outline of discrete mathematics

Arithmetic

Differential calculus

Integral

Fundamental theorem of calculus

Convergent series

Series (mathematics)

Infinitesimal

Propositional calculus

Ricci calculus

Calculus of variations

Method of exhaustion

Taylor series

Smooth infinitesimal analysis

Non-standard analysis

(ε, δ)-definition of limit

Cartesian coordinate system

Long s

Constant of integration

Non-standard calculus

Law of excluded middle

Constructive analysis

Differentiation rules

List of derivatives and integrals in alternative calculi

Power rule

Differential geometry

Integral equation

Multiplicative calculus

Multivariable calculus

Vertex (graph theory)

Catalan number

Fibonacci number

Analytic number theory

Tutte polynomial

Block design

Steiner system

Kirkman's schoolgirl problem

Geometry

Two-dimensional space

Real projective space

Lattice (order)

Boolean algebra (structure)

Matroid

Extremal combinatorics

Family of sets

Complete bipartite graph

Markov chain mixing time

Probabilistic number theory

Additive number theory

Algebraic combinatorics

Chomsky hierarchy

Formal grammar

Combinatorics on words

Polyhedral combinatorics

Convex polytope

Permutohedron

Cauchy's theorem (geometry)

Decision tree

Necklace problem

Discrete Morse theory

Arithmetic combinatorics

Ergodic theory

Infinitary combinatorics

Set theory

Geometric probability

Combinatorial optimization

Operations research

Forward error correction

Information theory

Kissing number problem

Combinatorics and dynamical systems

Graph dynamical system

Combinatorics and physics

Statistical physics

Ising model

Potts model

Chromatic polynomial

Combinatorial group theory

Combinatorial game theory

Combinatorial data analysis

Riemann zeta function

Diophantine geometry

Elementary arithmetic

Floating-point arithmetic

Pythagorean triple

Proof by exhaustion

Babylonian astronomy

Babylonian mathematics

Irrational number

Figurate number

Chinese remainder theorem

Quadratic reciprocity

Fermat's little theorem

Prime number theorem

Abelian and tauberian theorems

Complex plane

Argument (complex analysis)

Riemann hypothesis

Goldbach's conjecture

Twin prime

Waring's problem

Hardy–Littlewood circle method

Dedekind zeta function

Landau prime ideal theorem

Transcendental number theory

Glossary of arithmetic and diophantine geometry

Faltings's theorem

Cramér's conjecture

Heuristic

Arithmetic progression

Finite group

Model theory

Computational number theory

Greatest common divisor

RSA (cryptosystem)

Hilbert's tenth problem

Recursively enumerable set

Algebraic function field

P-adic number

Ordinary differential equation

Electric generator

Thermosiphon

Pitchfork bifurcation

Hopf bifurcation

Correlation dimension

Neighbourhood (mathematics)

Configuration space (physics)

Surface (topology)

Line (geometry)

Fixed point (mathematics)

Geometric primitive

Complex quadratic polynomial

Stability theory

Contact mechanics

Deformation (mechanics)

Sphere

Critical point (mathematics)

Isolated point

Van der Pol oscillator

Commensurability (mathematics)

Quasiperiodicity

Spectral density

Differentiable function

Homeomorphism

Multiscroll attractor

Lorenz system

Square matrix

Matrix difference equation

Newton's method

Boundary value problem

Navier–Stokes equations

Parabolic partial differential equation

Hidden oscillation