# 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...
- but since the ruler does not use decimals, you round it to 5 cm.) or approximations are used instead of the real data (e.g., 3.14 instead of π). In 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...
- phenomenon. The expression order of approximation is expected to indicate progressively more refined approximations of a function in a specified interval...
- basis of the paraxial approximation), cartography, astronomy, computer science, and so on. The accuracy of the approximations can be seen below in Figure...
- Taylor polynomials) of the series can be used as approximations of the function. These approximations are good if sufficiently many terms are included...
- {\displaystyle n^{n}} and double exponential functions) in n. Most approximations for n! are based on approximating its natural logarithm ln ⁡ n ! = ∑...
- Diophantine approximations and transcendental number theory are very close areas that share many theorems and methods. Diophantine approximations also have...
- If f {\displaystyle f} is concave up, the approximation will be an underestimate. Linear approximations for vector functions of a vector variable are...