quadrature
Language: English
Part of speech: noun
Pronunciation: ipa: /ˈkwɒd.ɹəˌtjʊə(ɹ)/
ipa: /ˈkwɒd.ɹə.t͡ʃə(ɹ)/
ipa: /ˈkwɑd.ɹəˌt͡ʃʊɚ/
ipa: /ˈkwɑd.ɹə.t͡ʃɚ/
Forms: form: quadratures
Etymology: Borrowed from Latin quadrātūra.
Senses: glosses: The process of making something square; squaring.
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 […] .
topics: mathematics
sciences
glosses: The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
examples: text: 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.
text: 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.
ref: 2011, Narayan Kovvali, Theory and Applications of Gaussian Quadrature Methods, Morgan & Claypool, page 37:
text: 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.
ref: 2015, Bernard Shizgal, Spectral Methods in Chemistry and Physics, Springer, page 71:
topics: mathematics
sciences
qualifier: numerical analysis
glosses: The calculation of a definite integral by numerical means.
topics: mathematical-analysis
mathematics
sciences
glosses: The act or process of solving an indefinite integral by symbolic means.
examples: text: When the Moon is in quadrature, it appears in the sky as a half-moon.
topics: astronomy
natural-sciences
glosses: 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.
examples: text: If ν_(IN) has 50% duty-cycle, then the outputs are in quadrature.
ref: 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:
text: 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.
ref: 2011, M. V. Deshpande, Electrical Machines, PHI Learning, page 315:
text: 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.
ref: 2015, Mohammad Elbadry, Ramesh Harjani, Quadrature Frequency Generation for Wideband Wireless Applications, Springer, page 7:
topics: natural-sciences
physical-sciences
physics
glosses: The condition in which the phase angle between two alternating quantities is 90°.
topics: art
arts
glosses: A painting painted on a wooden panel.
Derived terms: add in quadrature
differential quadrature
Gaussian quadrature
quadrature amplitude modulation
quadrature domain
space quadrature
Related terms: quadrate
quadratural
quadraturist
cubature
square the circle