APPROXIMATION Meaning and
Definition
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Approximation is a concept in mathematics and various disciplines that refers to an estimation or rough calculation of a value that is close to, but not exactly equal to, the precise value. It is used when an exact answer is either impractical, impossible to attain, or unnecessary.
In mathematics, approximation involves finding an approximation function or algorithm that can provide an estimate of a value or solution. This may involve various techniques such as rounding, truncating, or simplifying mathematical expressions. Approximation is frequently employed in the context of numerical analysis, where it is used to simplify complex calculations and make them more computationally efficient.
In everyday language, approximation is also used to describe a non-exact or close guess that is based on available information or observations. For example, if someone asks for an estimate of the distance between two cities, a rough approximation might be given based on the average driving time or a scaled approximation on a map.
Approximation is a valuable tool for making informed decisions, particularly in situations where precise information is lacking or difficult to obtain. However, it is important to recognize that approximations inherently introduce some error or deviation from the exact value, and the accuracy of an approximation should be carefully considered in relation to the intended purpose and level of precision required.
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A near approach; an advancing near.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
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Etymology of APPROXIMATION
The word "approximation" originated from the Latin word "approximatio", which is the noun form of the verb "approximare", meaning "to approach" or "to come near". The Latin term is derived from the prefix "ad-" meaning "to" or "toward", and "proximus" meaning "nearest" or "next". The noun form "approximatio" originally meant "a coming near" or "approach", but its sense gradually shifted over time to refer more specifically to the act or result of getting close to an accurate value or estimate. The word was later adopted into English and has retained a similar meaning.
Similar spelling words for APPROXIMATION
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