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 ?
We also use the fact that the neutron energy E of interest is approximately equal to [E.
Each warrant will entitle the holder thereof to purchase one unit of YEARS Financial Trust at an exercise price that will be approximately equal to the net asset value per unit at the time of filing the final prospectus.
It is anticipated that one warrant will be issued for each unit of the Fund and that each warrant will entitle the holder thereof to purchase one unit of YEARS Financial at an exercise price that will be approximately equal to, but may be less than, the net asset value per unit at the time of issuing the warrants.