Curated Computational Data in the
Wolfram Knowledgebase

Society & Culture

Art & Design

Colors ■

Image Processing ■

Document Length ■

Display Formats ■

Units ■

Famous Artwork ■

Photography ■

Barcodes ■

Notable Texts ■

Packing & Covering of Objects ■

Color Systems ■

Color Mixing ■

Colors of Light ■

Cooking Measures ■

SI Units ■

US Customary Units ■

Related Colors ■

Sets of Colors ■

Color Conversions ■

Paint Colors ■

Temperatures ■

Basic Image Processing ■

Image Filtering ■

Image Effects ■

Morphological Processing ■

Feature Detection ■

Color Processing ■

Display Resolution ■

Paper Sizes ■

Photo Sizes ■

Conversions ■

Calculations ■

Comparisons ■

Prefixes ■

Photographic Optics ■

QR Codes ■

UPC ■

ISBN ■

Texts ■

Plays ■

Poems ■

Novels ■

Packing Problems ■

Covering Problems ■

Stringing Problems ■

+ VIEW ALL - MINIMIZE

Arts & Media

Movies ■

Television ■

Video Games ■

Famous Artwork ■

Notable Texts ■

Periodicals ■

Comics ■

Radio Programs ■

Fictional Characters ■

Popular Curves ■

Mythology ■

Music ■

Academy Awards ■

Pokémon ■

Digimon ■

Music Acts ■

Music Albums ■

Songs ■

Music Theory ■

Audio Waveforms ■

Musical Instruments ■

Movie Ratings ■

Box Office Performance ■

Television Programs ■

Television Networks ■

Texts ■

Plays ■

Poems ■

Novels ■

Operations on Popular Curves ■

Greek Mythology ■

Roman Mythology ■

Hindu Mythology ■

Egyptian Mythology ■

+ VIEW ALL - MINIMIZE

Dates & Times

Date & Time Computations ■

Time Zones ■

Calendars ■

Holidays ■

Historical Events ■

Geologic Time Scale ■

Islamic Prayer Times ■

Recurring Events ■

Birth & Death Dates ■

Unix Time ■

Birthstones ■

Birth Flowers ■

Wedding Anniversaries ■

Date Information ■

Time Arithmetic ■

Duration ■

Calendar Generation ■

Calendar Systems ■

Geochronology ■

Ice Ages ■

Notable Ancient Events ■

Paleoclimate ■

Paleogeography ■

Geochronology Lookup ■

+ VIEW ALL - MINIMIZE

Demographics & Social Statistics

Health-Care Statistics ■

Age & Sex Demographics ■

Business Statistics ■

Citizenship Statistics ■

Crime Statistics ■

Education Statistics ■

Income & Employment ■

Language Demographics ■

Marriage Statistics ■

Geographic Mobility ■

Race & National Origin ■

Religion ■

Military Data ■

Health-Care Expenses ■

Health Indicators ■

Literacy & Educational Attainment ■

School Enrollment & Employment ■

Education Expenditures ■

Military Conflicts ■

Gender Equality ■

Voting & Registration Rates ■

Human Development Index ■

US Citizenship ■

Income Statistics ■

Employment ■

Occupational Employment Statistics ■

Poverty Statistics ■

Marriage ■

International Migration ■

US Migration ■

Race ■

Hispanic Population ■

Islamic Prayer Times ■

Military ■

Armaments ■

Nuclear Weapons ■

Military Facilities ■

+ VIEW ALL - MINIMIZE

Economic Data

US Economy ■

World Economy ■

Salaries & Wages ■

Cost of Living ■

Patents & Research ■

Agriculture ■

Energy Data ■

Housing ■

Health-Care Expenses ■

Telecommunications Statistics ■

US Prices of Consumer Goods ■

Energy Resources ■

Energy Prices ■

Gasoline Prices ■

Nuclear Power ■

Oil Rigs ■

Workforce Data ■

Wealth Distribution ■

Unemployment Rates ■

Trade ■

Tourism ■

US States ■

US Metropolitan Areas ■

Economies by Country Group ■

Economies by Country ■

Salary Data ■

Salary Computations ■

Minimum Wage ■

Cost‐of‐Living Indices ■

Relocation Calculator ■

Research & Technology ■

Patents & Trademarks ■

Crop Production ■

Meat Production ■

Land ■

Livestock ■

Food Consumption ■

House Prices ■

Number of Homes ■

Fair Market Rent ■

Permits, Starts & Sales ■

US Health-Care Prices ■

Internet Speeds ■

+ VIEW ALL - MINIMIZE

Education

International Education ■

Universities ■

School Districts ■

US Public Schools ■

US Private Schools ■

US Libraries ■

Standardized Tests ■

Education Statistics ■

Literacy & Educational Attainment ■

School Enrollment & Employment ■

Education Expenditures ■

School District Demographics ■

SAT Scores ■

ACT Scores ■

+ VIEW ALL - MINIMIZE

Food & Nutrition

Nutrition ■

Branded Foods ■

Food Comparisons & Combinations ■

Food Preparation ■

Dietary References & Standards ■

Brand‐Name Foods ■

Brand Comparisons ■

Food Comparisons ■

Food Combinations ■

Meal Planning ■

Thawing & Cooking Times ■

General Nutrition Recommendations ■

Diet Calculations ■

+ VIEW ALL - MINIMIZE

Games & Puzzles

Games of Chance ■

Board Games ■

Video Games ■

Word Puzzles ■

Dice ■

Card Games ■

Roulette ■

Gambling ■

Lotteries ■

Anagrams ■

Crosswords ■

Scrabble ■

Rhyming Words ■

Letter Combinations ■

Cryptograms ■

Acronyms ■

+ VIEW ALL - MINIMIZE

History

Historical Numbers ■

Historical Periods ■

Historical US Money ■

Genealogy ■

Historical Events ■

Historical Countries ■

Military Conflicts ■

World Leaders ■

Inventions ■

Roman Numerals ■

Greek Numerals ■

Mayan Numerals ■

Babylonian Numerals ■

Genealogical Relationships ■

Familial Relationships ■

Historical Maps ■

Wars of the World ■

Battle Statistics ■

Current World Leaders ■

Past World Leaders ■

+ VIEW ALL - MINIMIZE

Institutions & Organizations

Companies ■

Foundations ■

US Private Schools ■

US Public Schools ■

School Districts ■

Hospitals ■

US Libraries ■

Prisons ■

Universities ■

Officers ■

School District Demographics ■

+ VIEW ALL - MINIMIZE

Money & Finance

Stock Data ■

Futures Contracts ■

Mortgages & Loans ■

Currency ■

Tips & Gratuities ■

Salaries & Wages ■

Income Tax ■

Sales Tax ■

Historical US Money ■

Present Value ■

Bonds ■

Derivatives Valuation ■

Advertising Revenue ■

Stocks ■

Indices ■

Mutual Funds ■

Mortgages ■

Auto Loans ■

Credit Cards ■

Interest Rates ■

Conversions ■

Calculations ■

Physical Characteristics ■

Salary Data ■

Salary Computations ■

Minimum Wage ■

+ VIEW ALL - MINIMIZE

People

Names ■

Dates & Times ■

Genealogy ■

Arts & Media ■

Awards ■

World Leaders ■

Sports ■

Date & Time Computations ■

Time Zones ■

Calendars ■

Holidays ■

Historical Events ■

Geologic Time Scale ■

Movies ■

Television ■

Video Games ■

Famous Artwork ■

Notable Texts ■

Periodicals ■

Comics ■

Radio Programs ■

Fictional Characters ■

Popular Curves ■

Mythology ■

Music ■

Nobel Prize ■

Academy Awards ■

National Football League ■

Major League Baseball ■

National Basketball Association ■

Olympic Games ■

Stadiums ■

Sport Object Characteristics ■

Places ■

Given Names ■

Surnames ■

Islamic Prayer Times ■

Recurring Events ■

Birth & Death Dates ■

Unix Time ■

Birthstones ■

Birth Flowers ■

Wedding Anniversaries ■

Genealogical Relationships ■

Familial Relationships ■

Current World Leaders ■

Past World Leaders ■

+ VIEW ALL - MINIMIZE

Points of Interest

Airports ■

Parks ■

US Mines ■

Nuclear Power ■

Rail Transport ■

Oil Rigs ■

Amusement Parks & Rides ■

Historic Sites ■

Museums ■

Buildings ■

Bridges ■

Castles ■

Dams ■

Tunnels ■

Oil Fields ■

Reserve Lands ■

Military Facilities ■

Cemeteries ■

Nuclear Power Stations ■

Nuclear Reactors ■

Railroad Stations ■

Amusement Parks ■

Amusement Park Rides ■

+ VIEW ALL - MINIMIZE

Political Geography

Countries ■

Administrative Divisions ■

Cities ■

Metropolitan & Urban Areas ■

US Congressional Districts ■

School Districts ■

US Neighborhoods ■

ZIP Codes ■

US District Courts ■

US States ■

US Counties ■

Notable Streets ■

Groups of Countries ■

Country Rankings ■

US Demographics ■

US Metro & Urban Areas ■

School District Demographics ■

+ VIEW ALL - MINIMIZE

Sports

National Football League ■

Major League Baseball ■

National Basketball Association ■

Olympic Games ■

Stadiums ■

Sport Object Characteristics ■

Sabermetric Formulas ■

Teams ■

Players ■

Games ■

Olympic Medals ■

Sports Equipment ■

Sports Locations ■

Sport Object Properties ■

+ VIEW ALL - MINIMIZE

Words & Linguistics

Word Properties ■

Word Puzzles ■

Languages ■

Document Length ■

Notable Texts ■

Morse Code ■

Soundex ■

Number Names ■

Character Encodings ■

Word Translation ■

Transliterations ■

Emoticons ■

Words ■

Dictionary Lookup ■

Thesaurus ■

Etymology ■

Word Frequency ■

Notable Word Uses ■

Acronyms ■

Anagrams ■

Crosswords ■

Scrabble ■

Rhyming Words ■

Letter Combinations ■

Cryptograms ■

Texts ■

Plays ■

Poems ■

Novels ■

Word Problems ■

Unicode ■

ASCII ■

Named Characters ■

+ VIEW ALL - MINIMIZE

Science & Technology

Chemistry

Chemical Elements ■

Chemical Compounds ■

Ions ■

Chemical Quantities ■

Chemical Solutions ■

Chemical Reactions ■

Chemical Thermodynamics ■

Functional Groups ■

Cheminformatics ■

Bonds & Orbitals ■

Organic Compounds ■

Inorganic Compounds ■

Chemical Formulas ■

Biomolecules ■

Chemical Structures ■

pH Indicators ■

Chemical Protecting Groups ■

Chemical Bonds ■

Orbital Hybridization ■

Elements ■

Element Properties ■

Classes of Elements ■

Compounds ■

Classes of Ions ■

Quantities ■

Unit Conversions ■

Solution Properties ■

Titration ■

Dilution ■

Solubility ■

Saltwater ■

Equation Balancing ■

Reaction Stoichiometry ■

Reaction Lookup ■

Estimated Properties ■

Goff–Gratch Equations ■

Chemical Substructures ■

Resonance Structures ■

Potential Structures ■

Topological Indices ■

+ VIEW ALL - MINIMIZE

Computational Sciences

Cellular Automata ■

Substitution Systems ■

Turing Machines ■

Computational Complexity ■

Algebraic Codes ■

Fractals ■

Image Processing ■

Hashing ■

Shape-Replacement Fractals ■

Mandelbrot & Julia Sets ■

Elementary Cellular Automata ■

General 1D Cellular Automata ■

Totalistic Cellular Automata ■

Initial Conditions ■

Visualization ■

Complexity Classes ■

Line-Replacement Fractals ■

Nowhere-Differentiable Functions ■

Space-Filling Curves ■

Fractals in 3D ■

Other Fractals ■

Basic Image Processing ■

Image Filtering ■

Image Effects ■

Morphological Processing ■

Feature Detection ■

Color Processing ■

+ VIEW ALL - MINIMIZE

Earth Sciences

Geology ■

Geodesy & Navigation ■

Oceanography ■

Atmospheric Sciences ■

Climate ■

Geological Structure of Earth ■

Earthquakes ■

Volcanoes ■

Minerals ■

Impact Craters on Earth ■

Geologic Time Scale ■

Geodetic Data ■

Geogravity ■

Geomagnetism ■

Seawater Characteristics ■

Tides ■

Atmospheric Layers ■

Clouds ■

Carbon Footprints ■

Latitude & Longitude ■

Distances ■

Bearings ■

Ocean Features ■

Standard Atmosphere ■

Atmospheric Composition ■

Barometric Pressure ■

Raindrops ■

+ VIEW ALL - MINIMIZE

Engineering

Aerospace Engineering ■

Energy Data ■

Electrical Engineering ■

Control Systems ■

Mechanical Engineering ■

Civil Engineering ■

Fluid Mechanics ■

Sound & Acoustics ■

Steam Tables ■

Measurement Devices ■

Aircraft ■

Rockets ■

Satellites ■

Space Probes ■

Aeronautics ■

Energy Resources ■

Energy Prices ■

Gasoline Prices ■

Nuclear Power ■

Oil Rigs ■

Electric Circuits ■

Electric Machines & Power Systems ■

Waveguides ■

Refrigeration ■

Fluid Mechanics Dimensionless Quantities ■

Audio Waveforms ■

Pressure ■

Buoyancy ■

Fluid Flow ■

Barometric Pressure ■

Doppler Shift ■

Subjective Acoustics ■

Sound Absorption ■

Helmholtz Resonator Frequency ■

Threshold Hearing Distance in Moist Air ■

Steam ■

Saturated Steam ■

Phase Boundaries ■

Kinds of Measuring Devices ■

+ VIEW ALL - MINIMIZE

Health & Medicine

Physical Exercise ■

Human Anatomy ■

Diseases ■

Medical Codes ■

Mortality Data ■

Medical Tests ■

Medical Computations ■

Vision ■

Drugs & Prescriptions ■

Health-Care Statistics ■

Hospitals ■

Diving ■

Pilates Exercises ■

Yoga Poses & Sequences ■

Weight Loss ■

Brain Anatomy ■

Teeth ■

Human Body Measurements ■

Symptoms ■

ICD-9 Codes ■

ICD-10 Codes ■

Life Expectancy ■

Health-Care Expenses ■

Health Indicators ■

Blood Alcohol Content ■

Nuclear Medicine ■

Public Health ■

Activities ■

Exercise Computations ■

Heart Rate ■

Anatomical Structures ■

Death Rates ■

Causes of Death ■

Tests ■

Test Results ■

Pregnancy ■

Blood Chemistry ■

General Clinical Medicine ■

Nephrology ■

Emergency Medicine ■

Cardiopulmonary Medicine ■

Endocrinology ■

Ophthalmology ■

Pediatrics ■

Apgar Scores ■

Visual Acuity ■

Corrective Lenses ■

Vision Deficiency Simulation ■

Dog Vision ■

Drug Data ■

Sig Codes ■

+ VIEW ALL - MINIMIZE

Life Sciences

Human Anatomy ■

Neuroscience ■

Genomics ■

Molecular Biology ■

Animals & Plants ■

Brain Anatomy ■

Teeth ■

Human Body Measurements ■

Neurons ■

Anatomical Functions ■

Cognitive Tasks ■

Human Genome ■

Mouse Genome ■

Fruit Fly Genome ■

Biomolecules ■

Metabolic Pathways ■

Animals ■

Plants ■

Dinosaurs ■

Famous Organisms ■

Anatomical Structures ■

Comparative Genomics ■

Oligonucleotides ■

+ VIEW ALL - MINIMIZE

Materials

Alloys ■

Bulk Materials ■

Material Hardness ■

Minerals ■

Plastics ■

Woods ■

Materials Chemistry ■

Crystallography ■

Famous Gems ■

Dimensional Lumber ■

Stockpiles ■

+ VIEW ALL - MINIMIZE

Physical Geography

Cartography ■

Geodesy & Navigation ■

Land Features ■

Water Features ■

Continents ■

Maps & Projections ■

Elevation Data ■

Geocoding ■

Geodetic Data ■

Geogravity ■

Geomagnetism ■

Mountains ■

Volcanoes ■

Islands ■

Glaciers ■

Deserts ■

Impact Craters on Earth ■

Oceanography ■

Undersea Features ■

Lakes ■

Rivers ■

Waterfalls ■

Latitude & Longitude ■

Distances ■

Bearings ■

Beaches ■

Caves ■

Forests ■

Bays ■

Harbors ■

Marine Sounds ■

+ VIEW ALL - MINIMIZE

Physics

Mechanics ■

Oscillations & Waves ■

Statistical Physics ■

Thermodynamics ■

Electricity & Magnetism ■

Optics ■

Relativity ■

Nuclear Physics ■

Quantum Physics ■

Particle Physics ■

Astrophysics ■

Physical Constants ■

Physical Principles ■

Fluid Mechanics ■

Dynamics ■

Kinematics ■

Pendulum Motion ■

Sound & Acoustics ■

Waveguides ■

Gas Laws ■

Thermodynamic Processes ■

Thermodynamic Cycles ■

Chemical Thermodynamics ■

Material Thermodynamics ■

Electrostatics ■

Magnetostatics ■

Electromagnetism ■

Electric Circuits ■

Electric Machines & Power Systems ■

Electromagnetic Radiation ■

Electromagnetic Measurements ■

Electromagnetic Physical Constants ■

Reflection ■

Refraction ■

Diffraction ■

Lasers ■

Electromagnetic Radiation Absorption ■

Electromagnetic Radiation Emission ■

Photography ■

Ionizing Radiation ■

Isotopes ■

Nuclear Power ■

Quantum Effects ■

Quantum Systems ■

Subatomic Particles ■

Particle Interactions ■

Particle Accelerators ■

Fluid Mechanics Dimensionless Quantities ■

Elastomechanics ■

Mechanical Systems ■

Classical Mechanics ■

Simple Harmonic Motion ■

Motion of a Top ■

Random Walks ■

Kinetic Theory ■

Sackur–Tetrode Equation ■

Rutherford Scattering ■

Special Relativity ■

General Relativity ■

Cerenkov Radiation ■

Radiometric Dating ■

Nuclear Weapons ■

Many-Body Theory ■

Luminosity ■

Cosmology ■

Black Holes ■

Asteroid Impacts ■

Cosmic Rays ■

Constants ■

Calculations with Constants ■

Classical Results ■

Interesting Modern Results ■

Famous Paradoxes ■

Pressure ■

Buoyancy ■

Fluid Flow ■

Barometric Pressure ■

+ VIEW ALL - MINIMIZE

Space & Astronomy

Astronomical Events ■

Space Technology ■

Astrophysics ■

Celestial Mechanics ■

Solar System ■

Exoplanets ■

Galaxies ■

Star Clusters ■

Nebulae ■

Astronomical Radio Sources ■

Stars ■

Star Charts ■

Celestial Navigation ■

Eclipses ■

Meteor Showers ■

Sunrise & Sunset ■

Solstices & Equinoxes ■

Lunar Phases ■

Observatories & Telescopes ■

Crewed Space Missions ■

Rockets ■

Satellites ■

Space Probes ■

Planets ■

Natural Satellites ■

Minor Planets ■

Comets ■

Space Weather ■

Variable Stars ■

Pulsars ■

Supernovae ■

Luminosity ■

Cosmology ■

Black Holes ■

Asteroid Impacts ■

Cosmic Rays ■

Sun ■

Globular Clusters ■

Open Clusters ■

Emission Nebulae ■

Planetary Nebulae ■

Bright H II Regions ■

Stellar Classification ■

Constellations ■

+ VIEW ALL - MINIMIZE

Technological World

Communications ■

Satellites ■

Space Probes ■

Photography ■

Barcodes ■

Structures ■

Nuclear Power ■

Nuclear Explosions ■

Carbon Footprints ■

Inventions ■

Web & Computer Systems ■

Automobiles ■

Broadcast Stations ■

Frequency Allocations ■

Telecommunications Statistics ■

Morse Code ■

Buildings ■

Castles ■

Bridges ■

Tunnels ■

Dams ■

Oil Rigs ■

US Mines ■

Amusement Parks & Rides ■

Internet ■

Notable Computers ■

Data Transfer ■

Software Products ■

Programming Languages ■

Wolfram Language ■

Computer Files ■

Character Encodings ■

Computer Keyboards ■

String Processing ■

Hashing ■

Display Formats ■

Passwords ■

Base Conversions ■

Visible Satellites ■

Probes ■

Photographic Optics ■

Photo Sizes ■

QR Codes ■

UPC ■

ISBN ■

Theaters ■

Canals ■

Nuclear Power Stations ■

Nuclear Reactors ■

Global Warming Potentials ■

RAID ■

CAPTCHA ■

CIDR ■

Emoticons ■

Automobile Models ■

Automobile Trims ■

+ VIEW ALL - MINIMIZE

Transportation

Road Transport ■

Air Transport ■

Rail Transport ■

Water Transport ■

Space Transport ■

Automobiles ■

Gasoline Prices ■

Tire Sizes ■

US Highways ■

Notable Streets ■

Bridges ■

Tunnels ■

Airports ■

Airlines ■

Flight Data ■

Aircraft ■

Crewed Space Missions ■

Satellites ■

Space Probes ■

Rockets ■

Warp Factor ■

Vehicles in Use ■

Vehicle Production ■

Stopping Distance ■

Roads ■

Road Transport Statistics ■

Traffic ■

Road Accidents ■

Air Transport Statistics ■

Railroad Stations ■

Cruise Ships ■

Aircraft Carriers ■

Shipwrecks ■

+ VIEW ALL - MINIMIZE

Units & Measures

Units ■

Measurement Devices ■

Industrial Measures & Standards ■

Fashion Sizes ■

Packing & Covering of Objects ■

Physical Quantities ■

Cooking Measures ■

SI Units ■

US Customary Units ■

Wire Gauges ■

Steel Sheets ■

Threaded Fasteners ■

Drill Bits ■

Pipes ■

Hypodermic Needles ■

Sieves & Meshes ■

Rope ■

Paint ■

Bulk Materials ■

Batteries ■

Resistors ■

Freight Containers ■

Dimensional Lumber ■

Knitting Needle Sizes ■

Tire Sizes ■

Gas Marks ■

Ring Sizes ■

Shoe Sizes ■

Dimensionless Quantities ■

Dimensional Analysis ■

Conversions ■

Calculations ■

Comparisons ■

Prefixes ■

Kinds of Measuring Devices ■

Packing Problems ■

Covering Problems ■

Stringing Problems ■

+ VIEW ALL - MINIMIZE

Weather & Meteorology

Weather ■

Climate ■

Atmospheric Thermodynamics ■

Degree Days ■

Tropical Storms ■

US Tornadoes ■

Clouds ■

Current Weather ■

Historical Weather ■

Weather Forecast ■

Sunburn & UV Index ■

Weather Exposure ■

Psychrometrics ■

Dry Air ■

Saturation Vapor Pressure ■

Heating & Cooling Degree Days ■

Classification of Clouds ■

Cloud Base Height ■

Cloud Cover ■

+ VIEW ALL - MINIMIZE

Mathematics

Algebra

Equation Solving ■

Polynomials ■

Rational Functions ■

Simplification ■

Matrices ■

Quaternions ■

Finite Groups ■

Finite Fields ■

Domain & Range ■

Numerical Root Finding ■

Matrix Decompositions ■

Geometric Transformations ■

Permutations ■

Equations ■

Systems of Equations ■

Factorization ■

Expansion ■

Completing the Square ■

Solving Polynomial Equations ■

Polynomial Interpolation ■

Partial Fractions ■

Boolean Simplification ■

Matrix Properties ■

Matrix Arithmetic ■

Trace ■

Determinant ■

Inverse ■

Row Reduction ■

Eigenvalues & Eigenvectors ■

Other Matrix Operations ■

Diagonalization ■

Types of Matrices ■

+ VIEW ALL - MINIMIZE

Applied Mathematics

Optimization ■

Numerical Analysis ■

Dynamical Systems ■

Fractals ■

Packing & Covering of Objects ■

Numerical Root Finding ■

Numerical Integration ■

Numerical Differential Equation Solving ■

Control Systems ■

Shape-Replacement Fractals ■

Mandelbrot & Julia Sets ■

Game Theory ■

Global Optimization ■

Constrained Optimization ■

Local Extrema ■

Discrete-Time Dynamical Systems ■

Continuous-Time Dynamical Systems ■

Line-Replacement Fractals ■

Nowhere-Differentiable Functions ■

Space-Filling Curves ■

Fractals in 3D ■

Other Fractals ■

Packing Problems ■

Covering Problems ■

Stringing Problems ■

+ VIEW ALL - MINIMIZE

Calculus & Analysis

Integrals ■

Derivatives ■

Limits ■

Sequences ■

Sums ■

Products ■

Series Expansions ■

Applications of Calculus ■

Vector Analysis ■

Integral Transforms ■

Domain & Range ■

Continuity ■

Numerical Integration ■

Integer Sequences ■

Asymptotes ■

Tangents & Normals ■

Cusps & Corners ■

Stationary Points ■

Inflection Points ■

Optimization ■

Area between Curves ■

Arc Length ■

Surfaces & Solids of Revolution ■

Curvature ■

Saddle Points ■

Indefinite Integrals ■

Definite Integrals ■

Multiple Integrals ■

Integral Representations ■

Higher Derivatives ■

Implicit Differentiation ■

Partial Derivatives ■

Directional Derivatives ■

Derivatives of Abstract Functions ■

One-sided Limits ■

Limit Representations ■

Sequence Recognition ■

Finite Sums ■

Infinite Sums ■

Finite Products ■

Infinite Products ■

Product Representations ■

Taylor Series ■

Laurent Series ■

Puiseux Series ■

Gradient ■

Divergence ■

Curl ■

Laplacian ■

Jacobian ■

Hessian ■

Vector Analysis Identities ■

Fourier Transforms ■

Laplace Transforms ■

Mellin Transforms ■

Z-Transforms ■

Discontinuities ■

Differential Equations ■

Numerical Differential Equation Solving ■

Ordinary Differential Equations ■

+ VIEW ALL - MINIMIZE

Discrete Mathematics

Combinatorics ■

Graph Theory ■

Point Lattices ■

Sequences ■

Recurrences ■

Permutations ■

Regular k-ary Trees ■

Integer Sequences ■

Ackermann Function ■

Factorials & Combinations ■

Integer Partitions ■

Integer Compositions ■

Enumeration Problems ■

Combinatorial Functions ■

Latin Squares ■

Named Graphs ■

Adjacency Rules ■

Random Graphs ■

Lattices ■

Sequence Recognition ■

Solving Recurrences ■

Finding Recurrences ■

Open Conjectures ■

Solved Problems ■

+ VIEW ALL - MINIMIZE

Elementary Math

Arithmetic ■

Fractions ■

Percentages ■

Place Value ■

Mathematical Word Problems ■

Addition & Subtraction ■

Multiplication & Division ■

Powers & Roots ■

Multiple Operations ■

Pie Charts ■

Mixed & Improper Fractions ■

Percent Increase & Decrease ■

Word Problems ■

+ VIEW ALL - MINIMIZE

Geometry

Plane Geometry ■

Solid Geometry ■

Coordinate Geometry ■

Geometric Transformations ■

Curves & Surfaces ■

Packing & Covering Problems ■

Tilings ■

Moiré Patterns ■

Polyforms ■

Topology ■

Polygons ■

Planar Laminae ■

Polyhedra ■

Conic Sections ■

Intercepts ■

Popular Curves ■

Geometric Packing in 2D ■

Packing & Covering of Objects ■

Real Intervals ■

Knot Theory ■

High-Dimensional Geometry ■

Plane Figures ■

Angles ■

Golden Ratio Formula ■

Geometric Solids ■

Lines ■

Planes ■

Quadrants ■

Rotations ■

Reflections ■

Shears ■

Plane Curves ■

Space Curves ■

Surfaces ■

Periodic Tilings ■

Nonperiodic Tilings ■

Homotopy Groups of Spheres ■

+ VIEW ALL - MINIMIZE

Linear Algebra

Vectors ■

Matrices ■

Matrix Decompositions ■

Geometric Transformations ■

Linear Independence ■

Vector Spaces ■

Vector Algebra ■

Matrix Properties ■

Matrix Arithmetic ■

Trace ■

Determinant ■

Inverse ■

Row Reduction ■

Eigenvalues & Eigenvectors ■

Other Matrix Operations ■

Diagonalization ■

Types of Matrices ■

+ VIEW ALL - MINIMIZE

Logic & Set Theory

Boolean Algebra ■

Set Theory ■

Transfinite Numbers ■

Truth Tables ■

Logic Circuits ■

Normal Forms ■

General Boolean Functions ■

Cardinals ■

+ VIEW ALL - MINIMIZE

Mathematical Functions

Domain & Range ■

Injectivity & Surjectivity ■

Continuity ■

Periodic Functions ■

Special Functions ■

Number Theoretic Functions ■

Representation Formulas ■

Bessel & Related Functions ■

Elliptic Functions ■

Gamma & Related Functions ■

Zeta Functions ■

Even & Odd Functions ■

Injectivity ■

Surjectivity ■

Bijectivity ■

Discontinuities ■

Period Computations ■

Root Mean Square ■

Beta Functions ■

Error Functions ■

Legendre Polynomials ■

Spheroidal Functions ■

Functions ■

Integral Representations ■

Series Representations ■

Product Representations ■

Limit Representations ■

Plotting & Graphics ■

Number Lines ■

Functions ■

3D Plots ■

Equations ■

Inequalities ■

Polar Plots ■

Parametric Plots ■

+ VIEW ALL - MINIMIZE

Numbers

Integers ■

Rational Numbers ■

Irrational Numbers ■

Algebraic Numbers ■

Transcendental Numbers ■

Complex Numbers ■

Arbitrary Precision ■

Mathematical Constants ■

Number Recognition ■

Base Conversions ■

Historical Numbers ■

Number Names ■

Repeating Decimals ■

Integer Arithmetic ■

Identification of Rationals ■

Identification of Irrationals ■

Identification of Algebraics ■

Algebraic Integers ■

Minimal Polynomials ■

Identification of Transcendentals ■

Notable Transcendentals ■

Large Integer Arithmetic ■

High-Precision Decimals ■

Constants ■

Decimal Approximations ■

Complex Analysis ■

Complex Numbers ■

Complex Functions ■

Poles ■

Residues ■

Riemann Surfaces ■

Calculations with Constants ■

Representations of Constants ■

Computations ■

Roman Numerals ■

Greek Numerals ■

Mayan Numerals ■

Babylonian Numerals ■

Word Problems ■

+ VIEW ALL - MINIMIZE

Number Theory

Prime Numbers ■

Divisors ■

Special Numbers ■

Continued Fractions ■

Numbers ■

Functions ■

Definitions of Terms ■

Theorems ■

Algorithms ■

Literature ■

Interactive Visualizations ■

Diophantine Equations ■

Digit Sums ■

Prime Factorization ■

Classes of Primes ■

Common Divisors & Multiples ■

Figurate Numbers ■

Perfect Numbers ■

Sets of Integers ■

Pascal's Triangle ■

Numbers ■

Functions ■

Definitions of Terms ■

Theorems ■

Algorithms ■

Literature ■

Interactive Visualizations ■

+ VIEW ALL - MINIMIZE

Probability

Games of Chance ■

Bernoulli Trials ■

Probability Distributions ■

Dice ■

Card Games ■

Roulette ■

Gambling ■

Lotteries ■

Birthday Probabilities ■

Probability Formulas ■

Coin Tosses ■

Continuous Distributions ■

Discrete Distributions ■

+ VIEW ALL - MINIMIZE

Statistics

Descriptive Statistics ■

Statistical Inference ■

Regression Analysis ■

Random Variables ■

Summary Statistics ■

Measures of Central Tendency ■

Measures of Dispersion ■

Other Descriptive Statistics ■

Sample Size Determination ■

Confidence Intervals ■

Hypothesis Testing ■

Regression ■

Expected Value ■

Probability Computations ■

+ VIEW ALL - MINIMIZE

Trigonometry

Trigonometric Calculations ■

Trigonometric Functions ■

Trigonometric Identities ■

Trigonometric Equations ■

Trigonometric Theorems ■

Spherical Trigonometry ■

+ VIEW ALL - MINIMIZE

Everyday Life

Dates & Times

Date & Time Computations ■

Time Zones ■

Calendars ■

Holidays ■

Historical Events ■

Geologic Time Scale ■

Islamic Prayer Times ■

Recurring Events ■

Birth & Death Dates ■

Unix Time ■

Birthstones ■

Birth Flowers ■

Wedding Anniversaries ■

Date Information ■

Time Arithmetic ■

Duration ■

Calendar Generation ■

Calendar Systems ■

Geochronology ■

Ice Ages ■

Notable Ancient Events ■

Paleoclimate ■

Paleogeography ■

Geochronology Lookup ■

+ VIEW ALL - MINIMIZE

Entertainment

Music ■

Movies ■

Games & Puzzles ■

Science Fiction ■

Tips & Gratuities ■

Famous Artwork ■

Music Acts ■

Music Albums ■

Songs ■

Music Theory ■

Audio Waveforms ■

Musical Instruments ■

Academy Awards ■

Games of Chance ■

Board Games ■

Video Games ■

Word Puzzles ■

Movie Ratings ■

Box Office Performance ■

Scientific Imagination ■

Factual Fiction ■

+ VIEW ALL - MINIMIZE

Hobbies

Games & Puzzles ■

Photography ■

Word Puzzles ■

Genealogy ■

Sports ■

Rope ■

Threaded Fasteners ■

Woods ■

Knitting Needle Sizes ■

Games of Chance ■

Board Games ■

Video Games ■

National Football League ■

Major League Baseball ■

National Basketball Association ■

Olympic Games ■

Stadiums ■

Sport Object Characteristics ■

Dimensional Lumber ■

Photographic Optics ■

Photo Sizes ■

Anagrams ■

Crosswords ■

Scrabble ■

Rhyming Words ■

Letter Combinations ■

Cryptograms ■

Acronyms ■

Genealogical Relationships ■

Familial Relationships ■

Screws & Bolts ■

Threading Formula ■

Sizes ■

Conversions ■

+ VIEW ALL - MINIMIZE

Household Math

Measurements & Conversions ■

Tire Sizes ■

Simple Math ■

Simple Fractions ■

Simple Percentages ■

Word Problems ■

Linear Equations ■

Simple Geometry ■

Kitchen Conversions ■

Packing Problems ■

Measurements & Materials ■

Car & Light Truck Tires ■

Bicycle Tires ■

Motorcycle Tires ■

+ VIEW ALL - MINIMIZE

Household Science

Everyday Astronomy ■

Everyday Chemistry ■

Everyday Physics ■

Plants ■

Animals ■

Weather ■

Astronomical Phenomena ■

Backyard Astronomy ■

Astronomical Trivia ■

Race to Space ■

Elements ■

Chemical Compounds ■

Motion & Simple Machines ■

Electric Circuits ■

Optics ■

Famous Physics Problems ■

Sound ■

+ VIEW ALL - MINIMIZE

Personal Finance

Mortgages & Loans ■

Stock Data ■

Currency ■

Cost of Living ■

Gasoline Prices ■

Historical US Money ■

US Prices of Consumer Goods ■

Mortgages ■

Auto Loans ■

Credit Cards ■

Interest Rates ■

Stocks ■

Indices ■

Mutual Funds ■

Conversions ■

Calculations ■

Physical Characteristics ■

Cost‐of‐Living Indices ■

Relocation Calculator ■

Fuel Usage ■

+ VIEW ALL - MINIMIZE

Personal Health

Physical Exercise ■

Food & Nutrition ■

Child Growth & Development ■

Diving ■

Pilates Exercises ■

Yoga Poses & Sequences ■

Weight Loss ■

Nutrition ■

Branded Foods ■

Food Comparisons & Combinations ■

Food Preparation ■

Dietary References & Standards ■

Teeth ■

Activities ■

Exercise Computations ■

Heart Rate ■

Pregnancy ■

Growth Charts ■

Body Measurements ■

+ VIEW ALL - MINIMIZE

Surprises

Jokes ■

Popular Curves ■

Warp Factor ■

Food & Nutrition ■

Animals ■

Image Processing ■

Nutrition ■

Branded Foods ■

Food Comparisons & Combinations ■

Food Preparation ■

Dietary References & Standards ■

Dog Breeds ■

Cat Breeds ■

Conversations ■

Handwritten Style ■

Aphorisms ■

Famous Lines ■

Tongue Twisters ■

Nursery Rhymes ■

Operations on Popular Curves ■

Basic Image Processing ■

Image Filtering ■

Image Effects ■

Morphological Processing ■

Feature Detection ■

Color Processing ■

+ VIEW ALL - MINIMIZE

Today's World

World Economy ■

US Economy ■

World Leaders ■

Earthquakes ■

Weather ■

Current Weather ■

Historical Weather ■

Weather Forecast ■

Sunburn & UV Index ■

Weather Exposure ■

Economies by Country Group ■

Economies by Country ■

US States ■

US Metropolitan Areas ■

Current World Leaders ■

Past World Leaders ■

Earthquake Data ■

Earthquake Magnitudes ■

Earthquake Intensity ■

Earthquake Characteristics ■

Seismic Travel Times ■

Earthquake Visualizations ■

+ VIEW ALL - MINIMIZE

Travel

Weather ■

Cost of Living ■

Gasoline Prices ■

Points of Interest ■

Flight Data ■

Current Weather ■

Historical Weather ■

Weather Forecast ■

Sunburn & UV Index ■

Weather Exposure ■

US Prices of Consumer Goods ■

Airports ■

Parks ■

US Mines ■

Nuclear Power ■

Rail Transport ■

Oil Rigs ■

Amusement Parks & Rides ■

Historic Sites ■

Museums ■

Buildings ■

Bridges ■

Castles ■

Dams ■

Tunnels ■

Travel Distances ■

Cost‐of‐Living Indices ■

Relocation Calculator ■

Fuel Usage ■

Oil Fields ■

Reserve Lands ■

Military Facilities ■

Cemeteries ■

Flights ■

+ VIEW ALL - MINIMIZE

Curated Computational Data in the Wolfram Knowledgebase

Curated Computational Data in the
Wolfram Knowledgebase