Get it on Google Play
New! Download Unionpedia on your Android™ device!
Faster access than browser!
New! Save your concepts! » Create account

E (mathematical constant)

+ Save concept Saved concepts

The number is an important mathematical constant that is the base of the natural logarithm. [1]

102 relations: Antiderivative, Apple II, Asymptotic analysis, Austin, Texas, Base (exponentiation), Bernoulli trial, Binomial distribution, Binomial theorem, Calculus, Cambridge, Massachusetts, Charles Hermite, Christiaan Huygens, Christian Goldbach, Complex number, Compound interest, Computer scientist, Continued fraction, Cyberculture, Daniel Shanks, De Moivre's formula, Decimal, Derangement, Derivative, Desktop computer, Donald Knuth, Encyclopedic Dictionary of Mathematics, ENIAC, Euler's formula, Euler's identity, Euler–Mascheroni constant, Expected value, Exponential function, Factorial, Gaussian integral, GNU Free Documentation License, Google, Google Labs, Gottfried Wilhelm Leibniz, Gresham College, Imaginary unit, Infinite product, Inflection point, Initial public offering, Integer, Integral, Inverse function, Irrational number, Jacob Bernoulli, John Napier, John von Neumann, ..., John Wrench, Joseph Fourier, Leonhard Euler, Limit of a function, Limit of a sequence, Lindemann–Weierstrass theorem, Liouville number, Logarithm, Mathematical constant, Mathematician, MathWorld, Maxima and minima, Mechanica, Metafont, Natural logarithm, Normal distribution, Normal number, Oxford English Dictionary, Pi, Pierre Raymond de Montmort, Polynomial, Power series, Prime Obsession, Principal branch, Probability, Probability density function, Probability theory, Proof that e is irrational, Radix, Real number, Roger Cotes, Seattle, Series (mathematics), Silicon Valley, Springer Science+Business Media, Steiner's problem, Steve Wozniak, Stirling's approximation, Switzerland, Taylor series, Tetration, TeX, The Art of Computer Programming, Transcendental number, Trigonometric functions, Uniform distribution (continuous), United States dollar, William Oughtred, William Shanks, Wolfram Research, 0 (number), 1 (number). Expand index (52 more) »


In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.

New!!: E (mathematical constant) and Antiderivative · See more »

Apple II

The Apple II (styled as apple.

New!!: E (mathematical constant) and Apple II · See more »

Asymptotic analysis

In mathematical analysis, asymptotic analysis is a method of describing limiting behavior.

New!!: E (mathematical constant) and Asymptotic analysis · See more »

Austin, Texas

Austin is the capital of the US state of Texas and the seat of Travis County.

New!!: E (mathematical constant) and Austin, Texas · See more »

Base (exponentiation)

In exponentiation, the base is the number b in an expression of the form bn.

New!!: E (mathematical constant) and Base (exponentiation) · See more »

Bernoulli trial

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted.

New!!: E (mathematical constant) and Bernoulli trial · See more »

Binomial distribution

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. A success/failure experiment is also called a Bernoulli experiment or Bernoulli trial; when n.

New!!: E (mathematical constant) and Binomial distribution · See more »

Binomial theorem

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.

New!!: E (mathematical constant) and Binomial theorem · See more »


Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations.

New!!: E (mathematical constant) and Calculus · See more »

Cambridge, Massachusetts

Cambridge is a city in Middlesex County, Massachusetts, United States, in the Boston metropolitan area, situated directly north of the city of Boston proper, across the Charles River.

New!!: E (mathematical constant) and Cambridge, Massachusetts · See more »

Charles Hermite

Charles Hermite (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

New!!: E (mathematical constant) and Charles Hermite · See more »

Christiaan Huygens

Christiaan Huygens, FRS (Hugenius) (14 April 1629 – 8 July 1695) was a prominent Dutch mathematician and scientist.

New!!: E (mathematical constant) and Christiaan Huygens · See more »

Christian Goldbach

Christian Goldbach (March 18, 1690 – November 20, 1764) was a German mathematician who also studied law.

New!!: E (mathematical constant) and Christian Goldbach · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers and is the imaginary unit, that satisfies the equation.

New!!: E (mathematical constant) and Complex number · See more »

Compound interest

Compound interest is interest added to the principal of a deposit or loan so that the added interest also earns interest from then on.

New!!: E (mathematical constant) and Compound interest · See more »

Computer scientist

A computer scientist is a scientist who has acquired knowledge of computer science, the study of the theoretical foundations of information and computation and their application.

New!!: E (mathematical constant) and Computer scientist · See more »

Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

New!!: E (mathematical constant) and Continued fraction · See more »


Cyberculture or computer culture is the culture that has emerged, or is emerging, from the use of computer networks for communication, entertainment, and business.

New!!: E (mathematical constant) and Cyberculture · See more »

Daniel Shanks

Daniel Shanks (January 17, 1917 – September 6, 1996) was an American mathematician who worked primarily in numerical analysis and number theory.

New!!: E (mathematical constant) and Daniel Shanks · See more »

De Moivre's formula

In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and integer n it holds that where i is the imaginary unit (i2.

New!!: E (mathematical constant) and De Moivre's formula · See more »


The decimal numeral system (also called base 10 or occasionally denary) has ten as its base.

New!!: E (mathematical constant) and Decimal · See more »


In combinatorial mathematics, a derangement is a permutation of the elements of a set, such that no element appears in its original position.

New!!: E (mathematical constant) and Derangement · See more »


The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable).

New!!: E (mathematical constant) and Derivative · See more »

Desktop computer

A desktop computer is a personal computer in a form intended for regular use at a single location desk/table due to its size and power requirements, as opposed to a laptop whose rechargeable battery and compact dimensions allow it to be regularly carried and used in different locations.

New!!: E (mathematical constant) and Desktop computer · See more »

Donald Knuth

Donald Ervin Knuth (born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.

New!!: E (mathematical constant) and Donald Knuth · See more »

Encyclopedic Dictionary of Mathematics

The Encyclopedic Dictionary of Mathematics is a translation of the Japanese.

New!!: E (mathematical constant) and Encyclopedic Dictionary of Mathematics · See more »


ENIAC (or; Electronic Numerical Integrator And Computer) was the first electronic general-purpose computer.

New!!: E (mathematical constant) and ENIAC · See more »

Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

New!!: E (mathematical constant) and Euler's formula · See more »

Euler's identity

In mathematics, Euler's identity (also known as Euler's equation) is the equality where Euler's identity is named after the Swiss mathematician Leonhard Euler.

New!!: E (mathematical constant) and Euler's identity · See more »

Euler–Mascheroni constant

The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma (\gamma).

New!!: E (mathematical constant) and Euler–Mascheroni constant · See more »

Expected value

In probability theory, the expected value of a random variable is intuitively the long-run average value of repetitions of the experiment it represents.

New!!: E (mathematical constant) and Expected value · See more »

Exponential function

In mathematics, an exponential function is a function of the form The input variable x occurs as an exponent – hence the name.

New!!: E (mathematical constant) and Exponential function · See more »


In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.

New!!: E (mathematical constant) and Factorial · See more »

Gaussian integral

The Gaussian integral, also known as the Euler–Poisson integral is the integral of the Gaussian function e−x2 over the entire real line.

New!!: E (mathematical constant) and Gaussian integral · See more »

GNU Free Documentation License

The GNU Free Documentation License (GNU FDL or simply GFDL) is a copyleft license for free documentation, designed by the Free Software Foundation (FSF) for the GNU Project.

New!!: E (mathematical constant) and GNU Free Documentation License · See more »


Google Inc. is an American multinational technology company specializing in Internet-related services and products.

New!!: E (mathematical constant) and Google · See more »

Google Labs

Google Labs was a page created by Google to demonstrate and test new projects.

New!!: E (mathematical constant) and Google Labs · See more »

Gottfried Wilhelm Leibniz

Gottfried Wilhelm von Leibniz (also Godefroi Guillaume Leibnitz,; or; July 1, 1646 – November 14, 1716) was a German polymath and philosopher, and to this day he occupies a prominent place in the history of mathematics and the history of philosophy.

New!!: E (mathematical constant) and Gottfried Wilhelm Leibniz · See more »

Gresham College

Gresham College is an institution of higher learning located at Barnard's Inn Hall off Holborn in central London, England.

New!!: E (mathematical constant) and Gresham College · See more »

Imaginary unit

The term imaginary unit or unit imaginary number refers to a solution to the equation.

New!!: E (mathematical constant) and Imaginary unit · See more »

Infinite product

In mathematics, for a sequence of complex numbers a1, a2, a3,...

New!!: E (mathematical constant) and Infinite product · See more »

Inflection point

In differential calculus, an inflection point, point of inflection, flex, or inflection (inflexion) is a point on a curve at which the curve changes from being concave (concave downward) to convex (concave upward), or vice versa.

New!!: E (mathematical constant) and Inflection point · See more »

Initial public offering

Initial public offering (IPO) or stock market launch is a type of public offering in which shares of stock in a company usually are sold to institutional investors that in turn, sell to the general public, on a securities exchange, for the first time.

New!!: E (mathematical constant) and Initial public offering · See more »


An integer (from the Latin ''integer'' meaning "whole")Integer 's first, literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

New!!: E (mathematical constant) and Integer · See more »


The integral is an important concept in mathematics.

New!!: E (mathematical constant) and Integral · See more »

Inverse function

In mathematics, an inverse function is a function that "reverses" another function.

New!!: E (mathematical constant) and Inverse function · See more »

Irrational number

In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers.

New!!: E (mathematical constant) and Irrational number · See more »

Jacob Bernoulli

Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family.

New!!: E (mathematical constant) and Jacob Bernoulli · See more »

John Napier

John Napier of Merchiston (1550 – 4 April 1617; also signed as Neper, Nepair; nicknamed Marvellous Merchiston) was a Scottish landowner known as a mathematician, physicist, and astronomer.

New!!: E (mathematical constant) and John Napier · See more »

John von Neumann

John von Neumann (Hungarian: Neumann János,; December 28, 1903 – February 8, 1957) was a Hungarian-American pure and applied mathematician, physicist, inventor, polymath, and polyglot.

New!!: E (mathematical constant) and John von Neumann · See more »

John Wrench

John William Wrench, Jr. (October 13, 1911 – February 27, 2009) was an American mathematician who worked primarily in numerical analysis.

New!!: E (mathematical constant) and John Wrench · See more »

Joseph Fourier

Jean-Baptiste Joseph Fourier (21 March 1768 – 16 May 1830) was a French mathematician and physicist born in Auxerre and best known for initiating the investigation of Fourier series and their applications to problems of heat transfer and vibrations.

New!!: E (mathematical constant) and Joseph Fourier · See more »

Leonhard Euler

Leonhard Euler (17071783) was a pioneering Swiss mathematician and physicist.

New!!: E (mathematical constant) and Leonhard Euler · See more »

Limit of a function

Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1.

New!!: E (mathematical constant) and Limit of a function · See more »

Limit of a sequence

As the positive integer n becomes larger and larger, the value n sin(1/n) becomes arbitrarily close to 1.

New!!: E (mathematical constant) and Limit of a sequence · See more »

Lindemann–Weierstrass theorem

In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers.

New!!: E (mathematical constant) and Lindemann–Weierstrass theorem · See more »

Liouville number

In number theory, a Liouville number is an irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that A Liouville number can thus be approximated "quite closely" by a sequence of rational numbers.

New!!: E (mathematical constant) and Liouville number · See more »


In mathematics, the logarithm is the inverse operation to exponentiation.

New!!: E (mathematical constant) and Logarithm · See more »

Mathematical constant

A mathematical constant is a special number, usually a real number, that is "significantly interesting in some way".

New!!: E (mathematical constant) and Mathematical constant · See more »


A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

New!!: E (mathematical constant) and Mathematician · See more »


MathWorld is an online mathematics reference work, created and largely written by Eric W. Weisstein.

New!!: E (mathematical constant) and MathWorld · See more »

Maxima and minima

In mathematical analysis, the maxima and minima (the plural of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).

New!!: E (mathematical constant) and Maxima and minima · See more »


Mechanica (Mechanica sive motus scientia analytice exposita; 1736) is a two-volume work published by mathematician Leonhard Euler, which describes analytically the mathematics governing movement.

New!!: E (mathematical constant) and Mechanica · See more »


Metafont is a description language used to define vector fonts.

New!!: E (mathematical constant) and Metafont · See more »

Natural logarithm

The natural logarithm of a number is its logarithm to the base e, where ''e'' is an irrational and transcendental constant approximately equal to.

New!!: E (mathematical constant) and Natural logarithm · See more »

Normal distribution

In probability theory, the normal (or Gaussian) distribution is a very common continuous probability distribution.

New!!: E (mathematical constant) and Normal distribution · See more »

Normal number

In mathematics, a normal number is a real number whose infinite sequence of digits in every base b is distributed uniformly in the sense that each of the b digit values has the same natural density 1/b, also all possible b2 pairs of digits are equally likely with density b−2, all b3 triplets of digits equally likely with density b−3, etc.

New!!: E (mathematical constant) and Normal number · See more »

Oxford English Dictionary

The Oxford English Dictionary (OED), published by the Oxford University Press, is a descriptive (as opposed to prescriptive) dictionary of the English language.

New!!: E (mathematical constant) and Oxford English Dictionary · See more »


The number is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159.

New!!: E (mathematical constant) and Pi · See more »

Pierre Raymond de Montmort

Pierre Rémond de Montmort, a French mathematician, was born in Paris on 27 October 1678, and died there on 7 October 1719.

New!!: E (mathematical constant) and Pierre Raymond de Montmort · See more »


In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

New!!: E (mathematical constant) and Polynomial · See more »

Power series

In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term, c is a constant, and x varies around c (for this reason one sometimes speaks of the series as being centered at c).

New!!: E (mathematical constant) and Power series · See more »

Prime Obsession

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) is a historical book on mathematics by John Derbyshire, detailing the history of the Riemann hypothesis, named for Bernhard Riemann, and some of its applications.

New!!: E (mathematical constant) and Prime Obsession · See more »

Principal branch

In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function.

New!!: E (mathematical constant) and Principal branch · See more »


Probability is the measure of the likeliness that an event will occur.

New!!: E (mathematical constant) and Probability · See more »

Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function that describes the relative likelihood for this random variable to take on a given value.

New!!: E (mathematical constant) and Probability density function · See more »

Probability theory

Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena.

New!!: E (mathematical constant) and Probability theory · See more »

Proof that e is irrational

The number ''e'' was introduced by Jacob Bernoulli in 1683.

New!!: E (mathematical constant) and Proof that e is irrational · See more »


In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

New!!: E (mathematical constant) and Radix · See more »

Real number

In mathematics, a real number is a value that represents a quantity along a continuous line.

New!!: E (mathematical constant) and Real number · See more »

Roger Cotes

Roger Cotes FRS (10 July 1682 – 5 June 1716) was an English mathematician, known for working closely with Isaac Newton by proofreading the second edition of his famous book, the Principia, before publication.

New!!: E (mathematical constant) and Roger Cotes · See more »


Seattle is a coastal seaport city and the seat of King County.

New!!: E (mathematical constant) and Seattle · See more »

Series (mathematics)

A series is, informally speaking, the sum of the terms of a sequence.

New!!: E (mathematical constant) and Series (mathematics) · See more »

Silicon Valley

Silicon Valley is a nickname for the southern portion of the San Francisco Bay Area, which is located in the part of the U.S. state of California known as Northern California.

New!!: E (mathematical constant) and Silicon Valley · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer is a global publishing company that publishes books, e-books and peer-reviewed journals in science, technical and medical (STM) publishing.

New!!: E (mathematical constant) and Springer Science+Business Media · See more »

Steiner's problem

Steiner's problem is the problem of finding the maximum of the function | url.

New!!: E (mathematical constant) and Steiner's problem · See more »

Steve Wozniak

Stephen (or Stephan) Gary "Steve" Wozniak (born August 11, 1950), known as "Woz", is an American pioneer of the personal computer revolution of the 1970s (along with Apple Computer co-founder, Steve Jobs).

New!!: E (mathematical constant) and Steve Wozniak · See more »

Stirling's approximation

In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials.

New!!: E (mathematical constant) and Stirling's approximation · See more »


Switzerland (Schweiz;Swiss Standard German spelling and pronunciation. The Swiss German name is sometimes spelled as Schwyz or Schwiiz. Schwyz is also the standard German (and international) name of one of the Swiss cantons. Suisse; Svizzera; Svizra or),The latter is the common Sursilvan pronunciation.

New!!: E (mathematical constant) and Switzerland · See more »

Taylor series

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

New!!: E (mathematical constant) and Taylor series · See more »


In mathematics, tetration (or hyper-4) is the next hyperoperator after exponentiation, and is defined as iterated exponentiation.

New!!: E (mathematical constant) and Tetration · See more »


TeX ((with the final consonant sounding like Ancient Greek's or English's) but often pronounced in English) is a typesetting system designed and mostly written by Donald Knuth and released in 1978.

New!!: E (mathematical constant) and TeX · See more »

The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

New!!: E (mathematical constant) and The Art of Computer Programming · See more »

Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients.

New!!: E (mathematical constant) and Transcendental number · See more »

Trigonometric functions

In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle.

New!!: E (mathematical constant) and Trigonometric functions · See more »

Uniform distribution (continuous)

In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable.

New!!: E (mathematical constant) and Uniform distribution (continuous) · See more »

United States dollar

The United States dollar (sign: $; code: USD; also abbreviated US$ and referred to as the dollar, U.S. dollar, US dollar or American dollar) is the official currency of the United States and its overseas territories.

New!!: E (mathematical constant) and United States dollar · See more »

William Oughtred

William Oughtred (5 March 1574 – 30 June 1660) was an English mathematician and Anglican minister.

New!!: E (mathematical constant) and William Oughtred · See more »

William Shanks

William Shanks (25 January 1812 – June 1882) was a British amateur mathematician.

New!!: E (mathematical constant) and William Shanks · See more »

Wolfram Research

Wolfram Research is a private company that makes computation software.

New!!: E (mathematical constant) and Wolfram Research · See more »

0 (number)

0 (zero; BrE: or AmE) is both a number and the numerical digit used to represent that number in numerals.

New!!: E (mathematical constant) and 0 (number) · See more »

1 (number)

1 (one; or, also called "unit", "unity", and "(multiplicative) identity", is a number, a numeral, and the name of the glyph representing that number. It represents a single entity, the unit of counting or measurement. For example, a line segment of "unit length" is a line segment of length 1.

New!!: E (mathematical constant) and 1 (number) · See more »

Redirects here:

2.71, 2.71828, 2.71828..., 7427466391, 7427466391 (number), Base of natural logarithm, Base of natural logarithms, Base of natural logaritms, Base of the natural logarithm, E (constant), E (math), E (mathematics), E (number), E - base of natural logarithm, E approximations, E constant, Euler's Number, Euler's number, Eulers number, Euler’s number, Exp(1), Exponential constant, Mathematical constant e, Napier constant, Napier's constant, Natural log base, Number e, ℮ (mathematical constant), .


[1] https://en.wikipedia.org/wiki/E_(mathematical_constant)

Hey! We are on Facebook now! »