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...

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...

)\neq 0} . 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...

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

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

to teach dimensional analysis or approximation of extreme scientific calculations. Fermi problems are usually back-of-the-envelope calculations. The estimation...

In numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exact solution...

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

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:...

mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate...

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 of the function. The first-order Taylor polynomial is the linear approximation of the function, and the second-order Taylor polynomial is often referred...

nearest order of magnitude for 3.7×108 is 9. An order-of-magnitude estimate is sometimes also called a zeroth order approximation. An order of magnitude...

of change of concentration is independent of the concentrations Zeroth-order approximation, an approximation of a function by a constant Zeroth-order...

pure exponential. Find a one pole approximation to the true frequency response. This is a first-order Padé approximation. There are many extensions to Elmore...

Zeroth-order may refer to: Zeroth-order approximation, a rough approximation Zeroth-order logic, is first-order logic without variables or quantifiers...

(BO) approximation is the best-known mathematical approximation in molecular dynamics. Specifically, it is the assumption that the wave functions of atomic...

dynamics, the Boussinesq approximation (pronounced [businɛsk], named for Joseph Valentin Boussinesq) is used in the field of buoyancy-driven flow (also...

Padé approximant is the "best" approximation of a function near a specific point by a rational function of given order. Under this technique, the approximant's...

rule of 72 is only an approximation that is accurate for interest rates from 6% to 10%. For every three percentage points away from 8%, the value of 72...

constructing a second-order product approximation of a joint probability distribution, first described in a paper by Chow & Liu (1968). The goals of such a decomposition...

values are given by the first-order (linear) approximation of their characteristic curve near the bias point. Many of the electrical components used...

The GW approximation (GWA) is an approximation made in order to calculate the self-energy of a many-body system of electrons. The approximation is that...

linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest...

Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning...

which gives an approximation to the bandwidths of the filters in human hearing, using the unrealistic but convenient simplification of modeling the filters...

intuitive ideas of approximation and convergence in a very general way and is closely related to topology. The primary motivation for the study of domains, which...

envelope approximation (SVEA, sometimes also called slowly varying asymmetric approximation or SVAA) is the assumption that the envelope of a forward-travelling...