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  2. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    7.5 Exponential and logarithms. 8 See also. 9 Notes. 10 References. ... Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to ...

  3. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.

  4. Ramanujan–Nagell equation - Wikipedia

    en.wikipedia.org/wiki/Ramanujan–Nagell_equation

    In mathematics, in the field of number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than a power of two. It is an example of an exponential Diophantine equation , an equation to be solved in integers where one of the variables appears as an exponent .

  5. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.

  6. Matrix exponential - Wikipedia

    en.wikipedia.org/wiki/Matrix_exponential

    It is used to solve systems of linear differential equations. In the theory of Lie groups, the matrix exponential gives the exponential map between a matrix Lie algebra and the corresponding Lie group. Let X be an n×n real or complex matrix. The exponential of X, denoted by e X or exp(X), is the n×n matrix given by the power series = =!

  7. Exponential response formula - Wikipedia

    en.wikipedia.org/wiki/Exponential_response_formula

    Complex replacement is used for solving differential equations when the non-homogeneous term is expressed in terms of a sinusoidal function or an exponential function, which can be converted into a complex exponential function differentiation and integration. Such complex exponential function is easier to manipulate than the original function.

  8. Characterizations of the exponential function - Wikipedia

    en.wikipedia.org/wiki/Characterizations_of_the...

    In mathematics, the exponential function can be characterized in many ways. This article presents some common characterizations, discusses why each makes sense, and proves that they are all equivalent. The exponential function occurs naturally in many branches of mathematics. Walter Rudin called it "the most important function in mathematics". [1]

  9. Magnus expansion - Wikipedia

    en.wikipedia.org/wiki/Magnus_expansion

    These equations may be interpreted as follows: Ω 1 (t) coincides exactly with the exponent in the scalar (n = 1) case, but this equation cannot give the whole solution. If one insists in having an exponential representation ( Lie group ), the exponent needs to be corrected.

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