# 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 ?
A ballpark figure is better, but make sure that the details of what work will be done for that amount of money is in writing.
Use \$90 per cubic yard as a ballpark figure, but this will vary by region.
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.
Any help in the realm of a ballpark figure to shoot for in terms of calories would be GREATLY appreciated
In fact, the study maintains that the "right spend" in general is significantly above the 8% ballpark figure recommended in a previous TSSG study.
You could chart how a Schwarzenegger movie performed in South Korea, tally up video revenues from Sardinia and Malta, then add in TV sales and other revenue streams, and you had a ballpark figure.
We looked at what other vine-ripened growers were charging, and we wanted to be around the same ballpark figure.
Most associations have conducted salary surveys of their members; this data can be useful in arriving at a ballpark figure.
The major one is cost In a residential building, a ballpark figure for an average 2,000-pound-capacity elevator is in the \$45,000 range.
By that description, you can probably get a ballpark figure of my income.
But 140 yen to the dollar is a ballpark figure, he said.

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