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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. [e]
- Colin MacLaurin [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]
- Holomorphic function [r]: Function from to is called holomorphic in domain if for every open domain there exist derivative . [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]