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linear form

linear form noun: a linear functional.

Noun

linear form (plural linear forms)

  1. A linear functional.
    • In #92;mathbb#123;R#125;ⁿ, if vectors are represented as column vectors, then linear forms are represented as row vectors, and their action on vectors is given by the matrix product, with the row vector on the left and the column vector on the right.
    • 1961 [Prentice-Hall], Richard A. Silverman (translator), Georgi E. Shilov, An Introduction to the Theory of Linear Spaces, 1974, Dover, page 66,
      A more general linear form in the same space is the expression
      f(x)=∑ₖ₊₁ⁿc_kζₖ
      with arbitrary fixed coefficients c_1,c_2…,c_n.

linear form meaning in Tamil

linear form in Tamil

நேரியல் வடிவம்

Examples of linear form in a sentence

  • In the theory of distributions, functions are replaced by linear forms on an auxiliary vector space, whose members are called test functions.1998, F. G. Friedlander, M. Joshi, Introduction to the Theory of Distributions, 2nd edition, Cambridge University Press, page 2:
  • In order to better understand the effect of reducing a K-vector subspace V#92;subseteqP#95;d modulo a generic linear form, we generalize Proposition 5.5.18 as follows.2005, Martin Kreuzer, Lorenzo Robbiano, Computational Commutative Algebra 2, Springer, page 264:

Synonyms of linear form

Forms of linear form

plurallinear forms

Words formed from linear form

Questions about linear form

What does linear form mean?
Linear form means a linear functional.
What is linear form in Tamil?
Linear form in Tamil is நேரியல் வடிவம். See Linear form meaning in Tamil.
How do you use linear form in a sentence?
In the theory of distributions, functions are replaced by linear forms on an auxiliary vector space, whose members are called test functions.
What part of speech is linear form?
Linear form is a noun.
What is the plural of linear form?
The plural of linear form is linear forms.

Words near linear form in the dictionary

  1. linear elasticity
  2. linear equation
  3. linear equations
  4. linear feet
  5. linear foot
  6. linear form
  7. linear forms
  8. linear function
  9. linear functional
  10. linear functionals
  11. linear functions

Source and license

Adapted from Wiktionary: linear form (page history and authors); linear form (Tamil Wiktionary) (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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Cite this entry: “linear form.” Word.ws, https://word.ws/linear_form. Based on Wiktionary, CC BY-SA 4.0.