Approximation definition of Approximation in the Free Online Encyclopedia.

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

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No references found	And without considering the multiplicity and complexity of the conditions any one of which taken separately may seem to be the cause, he snatches at the first approximation to a cause that seems to him intelligible and says: "This is the cause War and Peace by Tolstoy, Leo View in context In the daylight, indeed, she felt her terrors about his soul to have been somewhat exaggerated; whether well founded or not she had no uneasiness now, reasoning that if Providence would not ratify such an act of approximation she, for one, did not value the kind of heaven lost by the irregularity--either for herself or for her child. Tess of the d'Urbervilles - A Pure Woman by Hardy, Thomas View in context This is a nearer approximation than he has yet made to a complete definition, and, regarded as a piece of proverbial or popular morality, is not far from the truth. Meno by Plato View in context	approach sequence approach signal approach surface base line approach vector approach visibility approach-approach conflict approach-avoidance conflict approach-zone district approachway approval drawing approved approved equal approved flame safety lamp approved ground Approved Scanning Vendor approving authority approx approximate approximate absolute temperature approximate altitude Approximate Calculations approximate contour Approximate Integration approximate reasoning Approximate Solution of Differential Equations Approximation approximation algorithm Approximation and Interpolation of Functions Approximation Formula Approximation of Functions of a Complex Variable approximation property Apps apps on tap appulse appurtenance appurtenant structure AppWare APPX APR APRA Apraksin, Fedor Apraksin, Fedor Matveevich Apraksin, Feodor Matveyevich Apraksin, Petr Apraksin, Petr Matveevich Apraksin, Stepan Apraksin, Stepan Fedorovich Apraxia Aprelevka Aprelsk après-ski	approximately approximately approximately approximately approximately approximately Approximately Coupled-Pair Quadruply Approximately Coupled-Pair Triple and Quadruple Excitations Approximately equal Approximately equal Approximately equal Approximately equal Approximately equal to Approximately equal to Approximately equal to Approximately equal to Approximately Finite Dimensional Approximately Projected Unrestricted Hartree-Fock Approximately Projected Unrestricted Moeller-Plesset Nth-Order Approximately Synchronized Code Division Multiple Access approximates approximates approximates approximates approximates approximating approximating approximating approximating approximating Approximation Approximation algorithm Approximation algorithms Approximation and Interpolation of Functions Approximation error Approximation Formula Approximation of functions Approximation of Functions of a Complex Variable Approximation of functions, linear methods Approximation problem Approximation property Approximation ratio approximation suture approximation suture approximation suture approximation suture (3) approximation suture (3) approximation suture (3) Approximation Theory Network Approximation to the identity Approximations Approximations Approximations Approximations Approximations approximative approximative approximative approximative approximative approximatively

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And without considering the multiplicity and complexity of the conditions any one of which taken separately may seem to be the cause, he snatches at the first approximation to a cause that seems to him intelligible and says: "This is the cause

War and Peace by Tolstoy, Leo View in context

In the daylight, indeed, she felt her terrors about his soul to have been somewhat exaggerated; whether well founded or not she had no uneasiness now, reasoning that if Providence would not ratify such an act of approximation she, for one, did not value the kind of heaven lost by the irregularity--either for herself or for her child.

Tess of the d'Urbervilles - A Pure Woman by Hardy, Thomas View in context

This is a nearer approximation than he has yet made to a complete definition, and, regarded as a piece of proverbial or popular morality, is not far from the truth.

Meno by Plato View in context

approach sequence

approach signal

approach surface base line

approach vector

approach visibility

approach-approach conflict

approach-avoidance conflict

approach-zone district

approachway

approval drawing

approved