quadrature

EnglishEdit

 
Quadrature of a sphere

EtymologyEdit

Borrowed from Latin quadrātūra.

PronunciationEdit

  • (UK) IPA(key): /ˈkwɒd.ɹəˌtjʊə(ɹ)/, /ˈkwɒd.ɹə.t͡ʃə(ɹ)/
  • (US) IPA(key): /ˈkwɑd.ɹəˌt͡ʃʊɚ/, /ˈkwɑd.ɹə.t͡ʃɚ/

NounEdit

quadrature (countable and uncountable, plural quadratures)

  1. The process of making something square; squaring.
  2. (mathematics) The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
    • 1976, D. T. Whiteside (editor), The Mathematical Papers of Isaac Newton, Volume 7: 1691-1695, Cambridge University Press, page 3,
      Craige was then on the point of publishing a short tract wherein he expounded a systematic (if far from general) 'Method of determining the quadrature of figures comprehended by straight lines and curves',[editor's translation] there gathering a variety of techniques of rational algebraic quadrature and arc-rectification [] .
  3. (mathematics, numerical analysis) The calculation of a definite integral by numerical means.
    • 1992, Bernard Bielecki, SINC Quadratures for Cauchy Principal Value Integrals, T.O. Espelid, Alan Genz, Springer, Numerical Integration: Recent Developments, Software and Applications, page 81,
      Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals  ,  , where   is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order  , where N is the number of quadrature nodes and c is a constant independent of N.
    • 2011, Narayan Kovvali, Theory and Applications of Gaussian Quadrature Methods, Morgan & Claypool, page 37,
      In this chapter, we present some example applications of the Gaussian quadrature methods discussed in the previous chapters. [] Figure 4.1 shows the accuracy of the polynomial Gaussian quadratures used to evaluate the first two integrals as a function of N.
    • 2015, Bernard Shizgal, Spectral Methods in Chemistry and Physics, Springer, page 71,
      The integral is thus given by a variant of the Fejér quadrature with two points at the interval boundaries, namely x1 = −1 and xN = 1 analogous to the Lobatto quadratures of the next section.
  4. (mathematics, mathematical analysis) The act or process of solving an indefinite integral by symbolic means.
  5. (astronomy) A situation in which the directions of two celestial bodies (or a celestial body and the Sun) form a right-angle from the perspective of the observer.
    When the Moon is in quadrature, it appears in the sky as a half-moon.
  6. (physics) The condition in which the phase angle between two alternating quantities is 90°.
    • 2008, Luis B. Oliveira, Jorge R. Fernandes, Igor M. Filanovsky, Chris J. M. Verhoeven, Manuel M. Silva, Analysis and Design of Quadrature Oscillators, Springer, page 33,
      If νIN has 50% duty-cycle, then the outputs are in quadrature.
    • 2011, M. V. Deshpande, Electrical Machines, PHI Learning, page 315,
      The total mmf in a synchronous machine may be split up into two components—one along the pole axis or direct axis and the other at right angles to this or the quadrature axis. [] In the case of salient pole construction, however, the reluctances of the magnetic circuits on which the mmfs act are different along the direct axis and the quadrature axis.
    • 2015, Mohammad Elbadry, Ramesh Harjani, Quadrature Frequency Generation for Wideband Wireless Applications, Springer, page 7,
      Quadrature LO generation is critical to the operation of direct-downconversion receivers [7]. Two common techniques for quadrature generation are divide-by-two frequency dividers, and polyphase filters.
  7. (art) A painting painted on a wooden panel.

Derived termsEdit

Related termsEdit

TranslationsEdit

See alsoEdit


FrenchEdit

EtymologyEdit

Borrowed from Latin quadrātūra. Doublet of carrure.

PronunciationEdit

  • IPA(key): /ka.dʁa.tyʁ/, /kwa.dʁa.tyʁ/
  • (file)

NounEdit

quadrature f (plural quadratures)

  1. quadrature
    quadrature du cerclequadrature of the circle

Further readingEdit


ItalianEdit

NounEdit

quadrature f

  1. plural of quadratura

LatinEdit

ParticipleEdit

quadrātūre

  1. vocative masculine singular of quadrātūrus