### Some articles on *approximations, approximation*:

Local-density Approximation

... Local-density

... Local-density

**approximations**(LDA) are a class of**approximations**to the exchange-correlation (XC) energy functional in density functional theory (DFT) that depend solely ... Many approaches can yield local**approximations**to the XC energy ... However, overwhelmingly successful local**approximations**are those that have been derived from the homogeneous electron gas (HEG) model ...Richardson Extrapolation - General Formula

... Let A(h) be an

... Let A(h) be an

**approximation**of A that depends on a positive step size h with an error formula of the form where the ai are unknown constants and the ki are known ... can be solved for A to give By this process, we have achieved a better**approximation**of A by subtracting the largest term in the error which was O(hk0) ... process can be repeated to remove more error terms to get even better**approximations**...Square Root Of 5 - Diophantine

... Hurwitz's theorem in Diophantine

**Approximations**... Hurwitz's theorem in Diophantine

**approximations**states that every irrational number x can be approximated by infinitely many rational numbers m/n in lowest terms in such a ...Super-logarithm -

... The quadratic

**Approximations**- Quadratic Approximation... The quadratic

**approximation**to the super-logarithm is which is a piecewise-defined function with a quadratic "critical piece" ... The first author to publish this**approximation**was Andrew Robbins in this paper ...Main Site Subjects

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