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