Quadrature

Definitions

1. The process of making something square; squaring.
   countable, uncountable
2. The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
   countable, uncountable
3. The calculation of a definite integral by numerical means.
   countable, uncountable
4. The act or process of solving an indefinite integral by symbolic means.
   countable, uncountable
5. 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.
   countable, uncountable
6. The condition in which the phase angle between two alternating quantities is 90°.
   countable, uncountable
7. A painting painted on a wooden panel.
   countable, uncountable

Equivalents

7 more languages

العربيةالتربيع

Ελληνικάτετραγωνισμός

Suomikvadratuuri

日本語下矩矩西方矩西矩+ 1 more

한국어직교

Românăcvadratură

Русскийквадратура

Examples

“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', there gathering a variety of techniques of rational algebraic quadrature and arc-rectification […] .”

“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 ∫_ΓF(t)dt/(t-x), x∈Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order⟳ O(e), where N is the number⟳ of quadrature nodes and c is a constant independent of N.”

“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.”

“The integral is thus given by a variant of the Fejér quadrature with two points at the interval boundaries, namely x₁ = −1 and x_N = 1 analogous to the Lobatto quadratures of the next section.”

“When the Moon is in quadrature, it appears in the sky as a half-moon.”

“If ν_(IN) has 50% duty-cycle, then the outputs are in quadrature.”

“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.”

“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.”

CEFR level