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A list of Citizendium articles, and planned articles, about Taylor series.

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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]: $\textstyle (x + y)^n = \sum_{k=0}^n {n \choose k} x^k y^{n-k}$ for any natural number n. [e]
Complex analysis [r]: Field of mathematics that studies those aspects of analysis unique to functions on the complex plane. [e]
Complex number [r]: Numbers of the form a+bi, where a and b are real numbers and i denotes a number satisfying $i^2=-1$ . [e]
Derivative [r]: The speed with which the value of a function changes as its argument changes. [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 $f$ from $A \subseteq \mathbb{C}$ to $B\subseteq\mathbb{C}$ is called holomorphic in domain $A$ if for every open domain $E\subseteq A$ there exist derivative $f'(z) ~\forall~ z\in E$ . [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. [e]