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quadrature Definition

quad·ra·ture (kwädrə c̸hər)

noun

  1. the act of squaring
  2. the construction of a square equal in area to a given surface the quadrature of a circle
  3. Astron. a configuration of a superior planet or the moon in which the angle between it and the sun, as seen from the earth, is 90°

Etymology: LL quadratura < L quadratus: see quadrate

quadrature Usage Examples

Preposition: of

  • circle: He is described as the first to treat theology on mathematical principles and he also wrote on the quadrature of the circle.
  • parabola: In the Quadrature of the parabola Archimedes finds the area of a segment of a parabola cut off by any chord.

Converse of object

  • use: Projection steps in the EP iteration that cannot be done analytically are done using Gaussian quadrature.

Adjective modifier

  • Gaussian: Gaussian quadrature is used to obtain a 2-D expression covering all points on the tooth face.
  • numerical: Solution method: Recurrence relations, power series expansion, numerical quadrature.
  • adaptive: Solution method: The program solves the Cauchy principal value integrals numerically using adaptive Gaussian quadrature.

Modifies a noun

  • encoder: An ideal quadrature encoder should provide square-wave signals that are 90 degrees out of phase with each other.
  • rule: The total charge on a surface is obtained by integration, using Simpson's quadrature rule.
  • point: Running time: The execution time depends strongly on the number of quadrature points used.
  • grid: Near the convergence criterion the full quadrature grid as input will be applied.
  • routine: Unusual features: The adaptive quadrature routine requires full recursivity qualities from the Fortran compiler.
  • modulation: This modulation technique is called quadrature amplitude modulation ( QAM ).

Noun used with modifier

  • phase: The currents are arranged to be in phase quadrature.