# Approximation

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## approximation

[ə¦präk·sə¦mā·shən]
(mathematics)
A result that is not exact but is near enough to the correct result for some specified purpose.
A procedure for obtaining such a result.

## Approximation

replacement of certain mathematical objects by others which are in one sense or another close to the initial objects. Approximation makes it possible to study the numerical characteristics and qualitative properties of the object, reducing the problem to a study of simpler or more convenient objects—for example, objects whose characteristics are easily computed or whose properties are already known. The theory of numbers studies Diophantine approximations—in particular, approximations of irrational numbers by rational numbers. Approximations of curves, surfaces, spaces, and mappings are investigated in geometry and topology. Some branches of mathematics are wholly devoted to approximations, as, for example, the approximation and interpolation of functions and numerical methods of analysis. The role of approximation in mathematics is continually growing. Presently, approximation can be viewed as one of the basic concepts of mathematics.

S. B. STECHKIN

References in periodicals archive ?
Instead, it is supposed to be a ballpark figure to help entrepreneurs make better plans.
How has this contractor billed for the work to be done: hourly, one ballpark figure that covers all the work, or in an itemized list?
Over the next seven years we are about to part with what will start as a ballpark figure of pounds 300million, but no doubt will end up nearly double.
To arrive at any sort of reliable ballpark figure, you'll need to know three things: how much you realistically expect to spend annually after retirement, how much principal you'll need to generate that annual income, and how far your present savings are from that figure.
The official said a ballpark figure for the assistance was not discussed Monday.
The plc accounts, which have to go before the AGM, show the club's debt remains at the pounds 20million ballpark figure transferred to Romanov's bank.
If I were to give you a ballpark figure, I'd say for example we do up to 25 new reviews in the New York market on a monthly basis.
A ballpark figure is around GBP600, according to according to Reallymoving.
Monthly price updates are automatically available on the web throughout 2005, for free; an accompanying CD-ROM features "National Estimator", a program that will aid the reader since it has all the book's cost estimates plus an easy-to-use Windows program that allows one to quickly and efficiently add up totals for a final ballpark figure.
Orbitz Deal Detector lets you plug in a target price for a flight and will alert you via e-mail when that price, or a ballpark figure, is available.
Most upstairs flatware manufacturers have responded by raising set prices slightly, from about \$100 to a ballpark figure of \$150 for a 45-piece set, while emphasizing the quality and value of those sets.
This is the ballpark figure companies are using to encourage retailers to help consumers make the connection.

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