# Definition of Approximations. Meaning of Approximations. Synonyms of Approximations

Here you will find one or more explanations in English for the word Approximations. Also in the bottom left of the page several parts of wikipedia pages related to the word Approximations and, of course, Approximations synonyms and on the right images related to the word Approximations.

## Definition of Approximations

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.

## Meaning of Approximations from wikipedia

- calculations easier. Approximations might also be used if incomplete information prevents use of exact representations. The type of approximation used depends...
- generate successive best rational approximations. These approximations are the best possible rational approximations of π relative to the size of their...
- the approximations can be seen below in Figure 1 and Figure 2. As the measure of the angle approaches zero, the difference between the approximation and...
- Diophantine approximations and transcendental number theory are very close areas that share many theorems and methods. Diophantine approximations also have...
- {\displaystyle n^{n}} and double exponential functions) in n. Most approximations for n! are based on approximating its natural logarithm ln ⁡ n ! = ∑...
- computing values of the gamma function, we must settle for numerical approximations. The derivatives of the gamma function are described in terms of the...
- second-order approximation is also called "paraxial". The approximations above for sine and tangent do not change for the "second-order" paraxial approximation (the...
- a4 = −1.453152027, a5 = 1.061405429 All of these approximations are valid for x ≥ 0. To use these approximations for negative x, use the fact that erf(x) is...
- Taylor polynomials) of the series can be used as approximations of the function. These approximations are good if sufficiently many terms are included...
- phenomenon. The expression order of approximation is expected to indicate progressively more refined approximations of a function in a specified interval...