quantitative disciplines, order of approximation refers to formal or informal expressions for how accurate an approximation is. In formal expressions...

An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus...

geometric optics, the paraxial approximation is a small-angle approximation used in Gaussian optics and ray tracing of light through an optical system...

continuous. To begin, we use the mean value theorem (i.e.: the first order approximation of a Taylor series using Taylor's theorem): g ( X n ) = g ( θ ) + g...

letter O was chosen by Bachmann to stand for Ordnung, meaning the order of approximation. In computer science, big O notation is used to classify algorithms...

particular in quantum mechanics, the Born approximation consists of taking the incident field in place of the total field as the driving field at each...

series for each of the trigonometric functions. Depending on the order of the approximation, cos ⁡ θ {\displaystyle \textstyle \cos \theta } is approximated...

pair of approximations to the system (a pair, because S0 can take two signs); the first-order WKB-approximation will be a linear combination of the two:...

In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are...

method Interval finite element Lyapunov stability Method of dominant balance Order of approximation Perturbation theory (quantum mechanics) Structural stability...