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]: $\textstyle (x+y)^{n}=\sum _{k=0}^{n}{n \choose k}x^{k}y^{n-k}$ for any natural number n. ^[e]
• Complex analysis [r]: Field of mathematics, 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 $i^{2}=-1$. ^[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 $f$ 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]