Taylor polynomial
Taylor polynomial noun: a truncated Taylor series; the sum of the first n terms of a Taylor series.
Noun
Taylor polynomial (plural Taylor polynomials)
- A truncated Taylor series; the sum of the first n terms of a Taylor series.
- For example, if Mⁿ#61;#92;mathbb#123;R#125;ⁿ and Nᵏ#61;#92;mathbb#123;R#125;, a singularity means the vanishing of the gradient, or equivalently, the linear terms of the Taylor's polynomial of some degree greater than 1. If one has a singularity, one may look at the second-order terms in the...1980, Donald W. Kahn, Introduction to Global Analysis, Academic Press, page 314
- The polynomial approximation above for exp(x) is an example of a Taylor polynomial of degree 2 and in fact the polynomial approximations to sin(x) and cos(x) that we wrote down in Chapter 3 are also Taylor polynomials.1989, J. Berry, John Stephen Berry, A. Norcliffe, S. Humble, Introductory Mathematics Through Science Applications, Cambridge University Press, page 211
Forms of Taylor polynomial
| plural | Taylor polynomials |
|---|---|
| alternative form | Taylor's polynomial |
Questions about Taylor polynomial
- What does Taylor polynomial mean?
- Taylor polynomial means a truncated Taylor series; the sum of the first n terms of a Taylor series.
- What part of speech is Taylor polynomial?
- Taylor polynomial is a noun.
- What is the plural of Taylor polynomial?
- The plural of Taylor polynomial is Taylor polynomials.
Words near Taylor polynomial in the dictionary
Source and license
Adapted from Wiktionary: Taylor polynomial (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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