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 ?
410 is determined to be the value for which the estimated log-normal distribution and the estimated exponential distribution are approximatively at equal distance from the mixture d(p) according to Renyi's divergence.
According to Kerlinger (1986), a representative sample has approximatively the same characteristics that the population relevant to the research question.
Laros (35) enlarged the drill channel around the screw head with a curette and injected approximatively 15 cc of PPMA before inserting the screw (however he did not include any results in his report).
However, whilst the number of actinomycetes was approximatively the same in the 2 soils (30.
The total time to complete this experiment was approximatively 15 minutes.
Based on Menta's eFPGA Core[TM] programmable logic architecture and on CEA-LETI and CROCUS magnetic technology, this first member of a family of MRAM-based FPGAs,is manufactured in CMOS 130 nm with magnetic junction in 120 nm and provides capacity of 1,444 LUT4, equivalent to approximatively 20K logic gates.
The operatining pressure for this system is approximatively 60 bar.
The main goal of the approach proposed in [4] is clearly different from that of our approach; in fact, the approach of [4] has been conceived to determine if data stored in an XML document approximatively conform to a DTD; by contrast, our approach aims to detect semantic similarities between two XML Schemas.
macrocarpum extract, which has not the same effect on pituitary cell LH as the tested extracts, forms only one complex of approximatively 92 kDa.