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  • Taylor approximation formula — We know that when the yield on a bond changes, the bond s price will also change. What investors need to know is by how much. In finance, we often approximate a complex function by other simpler functions. The Taylor approximation formula does… …   Wikipedia

  • Stirling's approximation — In mathematics, Stirling s approximation (or Stirling s formula) is an approximation for large factorials. It is named in honour of James Stirling.The formula is written as:n! approx sqrt{2pi n}, left(frac{n}{e} ight)^{n}.Roughly, this means that …   Wikipedia

  • Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic.   Part of a series of articles on The mathematical constant e …   Wikipedia

  • Lanczos approximation — In mathematics, the Lanczos approximation is a method for computing the Gamma function numerically, published by Cornelius Lanczos in 1964. It is a practical alternative to the more popular Stirling s approximation for calculating the Gamma… …   Wikipedia

  • Orders of approximation — In science, engineering, and other quantitative disciplines, orders of approximation refer to formal or informal terms for how precise an approximation is, and to indicate progressively more refined approximations: in increasing order of… …   Wikipedia

  • Born-Oppenheimer approximation — In quantum chemistry, the computation of the energy and wavefunction of an average size molecule is a formidable task that is alleviated by the Born Oppenheimer (BO) approximation. For instance the benzene molecule consists of 12 nuclei and 42… …   Wikipedia

  • Spouge's approximation — In mathematics, Spouge s approximation is a formula for the gamma function due to John L. Spouge. The formula is a modification of Stirling s approximation, and has the form:Gamma(z+1) = (z+a)^{z+1/2} e^{ (z+a)} left [ c 0 + sum {k=1}^{a 1}… …   Wikipedia

  • Simple rational approximation — (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a specific rational function whose poles and zeros are simple, which means that there is no multiplicity in poles and zeros.… …   Wikipedia

  • Small-angle approximation — is a useful simplification of the laws of trigonometry which is only approximately true for finite angles, but correct in the limit as the angle approaches zero. It involves linearization of the trigonometric functions (truncation of their Taylor …   Wikipedia

  • Semi-empirical mass formula — In nuclear physics, the semi empirical mass formula (SEMF), sometimes also called Weizsäcker s formula, is a formula used to approximate the mass and various other properties of an atomic nucleus. As the name suggests, it is partially based on… …   Wikipedia

  • Boltzmann's entropy formula — In statistical thermodynamics, Boltzmann s equation is a probability equation relating the entropy S of an ideal gas to the quantity W , which is the number of microstates corresponding to a given macrostate::S = k log W ! (1)where k is Boltzmann …   Wikipedia

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