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E (mathematical constant) and Euler's formula

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between E (mathematical constant) and Euler's formula

E (mathematical constant) vs. Euler's formula

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics. 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.

Similarities between E (mathematical constant) and Euler's formula

E (mathematical constant) and Euler's formula have 13 things in common (in Unionpedia): Complex number, De Moivre's formula, Differential equation, Euler's identity, Exponential function, Imaginary unit, Leonhard Euler, Logarithm, Power series, Real number, Roger Cotes, Taylor series, Trigonometric functions.

Complex number

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

Complex number and E (mathematical constant) · Complex number and Euler's formula · 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) and integer it holds that where is the imaginary unit.

De Moivre's formula and E (mathematical constant) · De Moivre's formula and Euler's formula · See more »

Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

Differential equation and E (mathematical constant) · Differential equation 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.

E (mathematical constant) and Euler's identity · Euler's formula and Euler's identity · See more »

Exponential function

In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.

E (mathematical constant) and Exponential function · Euler's formula and Exponential function · See more »

Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

E (mathematical constant) and Imaginary unit · Euler's formula and Imaginary unit · See more »

Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

E (mathematical constant) and Leonhard Euler · Euler's formula and Leonhard Euler · See more »

Logarithm

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

E (mathematical constant) and Logarithm · Euler's formula and Logarithm · 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 and c is a constant.

E (mathematical constant) and Power series · Euler's formula and Power series · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

E (mathematical constant) and Real number · Euler's formula 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.

E (mathematical constant) and Roger Cotes · Euler's formula and Roger Cotes · 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.

E (mathematical constant) and Taylor series · Euler's formula and Taylor series · See more »

Trigonometric functions

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

E (mathematical constant) and Trigonometric functions · Euler's formula and Trigonometric functions · See more »

The list above answers the following questions

E (mathematical constant) and Euler's formula Comparison

E (mathematical constant) has 111 relations, while Euler's formula has 65. As they have in common 13, the Jaccard index is 7.39% = 13 / (111 + 65).

References

This article shows the relationship between E (mathematical constant) and Euler's formula. To access each article from which the information was extracted, please visit:

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