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Exponentiation and Linear differential equation

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

Difference between Exponentiation and Linear differential equation

Exponentiation vs. Linear differential equation

Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent. In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where,..., and are arbitrary differentiable functions that do not need to be linear, and are the successive derivatives of an unknown function of the variable.

Similarities between Exponentiation and Linear differential equation

Exponentiation and Linear differential equation have 21 things in common (in Unionpedia): Algebraic function, Complex number, Derivative, Euler's formula, Exponential function, Hyperbolic function, Leonhard Euler, Limit (mathematics), Linear algebra, Linear map, Mathematics, Matrix exponential, Multiplicative inverse, Polynomial, Real number, Recurrence relation, Ring (mathematics), Sine, Square matrix, Trigonometric functions, Vector space.

Algebraic function

In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.

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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.

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Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

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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.

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Exponential function

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

Exponential function and Exponentiation · Exponential function and Linear differential equation · See more »

Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.

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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.

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Limit (mathematics)

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.

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Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

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Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Matrix exponential

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.

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Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

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Polynomial

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

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Real number

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

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Recurrence relation

In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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Sine

In mathematics, the sine is a trigonometric function of an angle.

Exponentiation and Sine · Linear differential equation and Sine · See more »

Square matrix

In mathematics, a square matrix is a matrix with the same number of rows and columns.

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Trigonometric functions

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

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

Exponentiation and Linear differential equation Comparison

Exponentiation has 266 relations, while Linear differential equation has 86. As they have in common 21, the Jaccard index is 5.97% = 21 / (266 + 86).

References

This article shows the relationship between Exponentiation and Linear differential equation. To access each article from which the information was extracted, please visit:

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