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- Series_expansion abstract "In mathematics, a series expansion is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication and division).The resulting so-called series often can be limited to a finite number of terms, thus yielding an approximation of the function. The fewer terms of the sequence are used, the simpler this approximation will be. Often, the resulting inaccuracy (i.e., the partial sum of the omitted terms) can be described by an equation involving Big O notation (see also asymptotic expansion).There are several kinds of series expansions, such as: Taylor series: A power series based on a function’s derivatives at a single point. Maclaurin series: A special case of a Taylor series, centred at zero. Laurent series: An extension of the Taylor series, allowing negative exponent values. Dirichlet series: Used in number theory. Fourier series: Describes periodical functions as a series of sine and cosine functions. In acoustics, e.g., the fundamental tone and the overtones together form an example of a Fourier series. Newtonian series Legendre polynomials: Used in physics to describe an arbitrary electrical field as a superposition of a dipole field, a quadrupole field, an octupole field, etc. Zernike polynomials: Used in optics to calculate aberrations of optical systems. Each term in the series describes a particular type of aberration.For more details, refer to the articles mentioned.".
- Series_expansion wikiPageID "1575813".
- Series_expansion wikiPageRevisionID "591566423".
- Series_expansion hasPhotoCollection Series_expansion.
- Series_expansion subject Category:Algebra.
- Series_expansion subject Category:Mathematical_analysis.
- Series_expansion subject Category:Mathematical_series.
- Series_expansion subject Category:Polynomials.
- Series_expansion type Abstraction100002137.
- Series_expansion type Function113783816.
- Series_expansion type MathematicalRelation113783581.
- Series_expansion type Polynomial105861855.
- Series_expansion type Polynomials.
- Series_expansion type Relation100031921.
- Series_expansion comment "In mathematics, a series expansion is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication and division).The resulting so-called series often can be limited to a finite number of terms, thus yielding an approximation of the function. The fewer terms of the sequence are used, the simpler this approximation will be.".
- Series_expansion label "Reeksontwikkeling".
- Series_expansion label "Reihenentwicklung".
- Series_expansion label "Series expansion".
- Series_expansion sameAs Reihenentwicklung.
- Series_expansion sameAs Reeksontwikkeling.
- Series_expansion sameAs m.0gtwsj7.
- Series_expansion sameAs Q358733.
- Series_expansion sameAs Q358733.
- Series_expansion sameAs Series_expansion.
- Series_expansion wasDerivedFrom Series_expansion?oldid=591566423.
- Series_expansion isPrimaryTopicOf Series_expansion.