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Approximation

Approximation Ap*prox`i*ma"tion n. [Cf. F. approximation, LL. approximatio.] 1. The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating. The largest capacity and the most noble dispositions are but an approximation to the proper standard and true symmetry of human nature. --I. Taylor. 2. An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc. 3. (Math.) (a) A continual approach or coming nearer to a result; as, to solve an equation by approximation. (b) A value that is nearly but not exactly correct.

Approximation Ap*prox`i*ma"tion n. [Cf. F. approximation, LL. approximatio.] 1. The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating. The largest capacity and the most noble dispositions are but an approximation to the proper standard and true symmetry of human nature. --I. Taylor. 2. An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc. 3. (Math.) (a) A continual approach or coming nearer to a result; as, to solve an equation by approximation. (b) A value that is nearly but not exactly correct.

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

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

- expansion used in the approximation. The expressions: a zeroth-order approximation, a first-order approximation, a second-order approximation, and so forth are...

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

- In the mathematical theory of artificial neural networks, universal approximation theorems are results that establish the density of an algorithmically...

- The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that ( 1 + x ) α ≈ 1 + α x . {\displaystyle...

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

- Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation of...

- The small-angle approximations can be used to approximate the values of the main trigonometric functions, provided that the angle in question is small...

- The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because:...

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

- expansion used in the approximation. The expressions: a zeroth-order approximation, a first-order approximation, a second-order approximation, and so forth are...

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

- In the mathematical theory of artificial neural networks, universal approximation theorems are results that establish the density of an algorithmically...

- The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that ( 1 + x ) α ≈ 1 + α x . {\displaystyle...

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

- Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation of...

- The small-angle approximations can be used to approximate the values of the main trigonometric functions, provided that the angle in question is small...

- The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because:...

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