# Taylor series/Related Articles

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- André-Marie Ampère [r]: (Lyons 20 January, 1775 – Marseilles 10 June, 1836) French physicist and mathematician best known for his work in electricity and magnetism.
^{[e]} - Approximation theory [r]: Field of mathematics that studies how to approximate functions by simpler functions and how good this approximation is.
^{[e]} - Artin L-function [r]: A type of Dirichlet series associated to a linear representation ρ of a Galois group G.
^{[e]} - Binomial theorem [r]: for any natural number
*n*.^{[e]} - Complex analysis [r]: Field of mathematics, precisely of mathematical analysis, that studies those properties which characterize functions of complex variables.
^{[e]} - Complex number [r]: Numbers of the form
*a+bi*, where*a*and*b*are real numbers and*i*denotes a number satisfying .^{[e]} - Derivative [r]: The rate of change of a function with respect to its argument.
^{[e]} - Energy (science) [r]: A measurable physical quantity of a system which can be expressed in joules (the metric unit for a quantity of energy) or other measurement units such as ergs, calories, watt-hours or Btu.
^{[e]} - Entire function [r]: is a function that is holomorphic in the whole complex plane.
^{[e]} - GF method [r]: Method to compute the normal coordinates of a vibrating molecule.
^{[e]} - Harmonic oscillator (classical) [r]: A system which, when displaced from its equilibrium position, experiences a restoring force, proportional to the displacement.
^{[e]} - Holomorphic function [r]: Function from to is called
**holomorphic**in domain if for every open domain there exist derivative .^{[e]} - Jacobian [r]: Determinant of the matrix whose ith row lists all the first-order partial derivatives of the function ƒi(x1, x2, …, xn).
^{[e]} - Lambert W function [r]: Used to solve equations in which the unknown appears both outside and inside an exponential function or a logarithm.
^{[e]} - Multipole expansion of electric field [r]: an expansion in terms of powers of 1/
*R*of an electric potential outside a charge distribution;*R*is the distance of a point outside to a point inside the charge distribution.^{[e]} - Newton's method [r]: Technique to approximate the roots of an equation by the methods of the calculus.
^{[e]} - Normal distribution [r]: a symmetrical bell-shaped probability distribution representing the frequency of random variations of a quantity from its mean.
^{[e]} - Polarizability [r]: The ease by which a charge-distribution polarizes; describes the amount of charge separation caused by an electric field.
^{[e]} - Polygamma function [r]: The (m + 1)th derivative of the logarithm of the gamma function.
^{[e]} - Power series [r]: An infinite series whose terms involve successive powers of a variable, typically with real or complex coefficients.
^{[e]} - Proof that holomorphic functions are analytic [r]:
*Add brief definition or description* - Tetration [r]: Holomorphic function characterized in that at integer values of its argument it can be interpreted as iterated exponent.
^{[e]} - Trigonometric function [r]: Function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant.
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