quadrature
Part of speech: noun
Morphological type: simple
Topics: art
arts
astronomy
mathematical-analysis
mathematics
natural-sciences
physical-sciences
physics
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Etymology: Etymology tree
Latin quadrātūrabor.
English quadrature
Borrowed from Latin quadrātūra.
Inflected forms:
form: quadratures
pos: noun
tags: plural
Senses:
gloss: The process of making something square; squaring.
pos: noun
tags: countable
uncountable
gloss: The act or process of constructing a square that has the same area as a given plane figure, or of computing that area.
pos: noun
tags: countable
uncountable
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 […] .
gloss: The calculation of a definite integral by numerical means.
pos: noun
tags: countable
uncountable
examples: 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.
For a function of one independent variable, the basic idea of a quadrature rule is to replace the definite integral by a sum of the integrand evaluated at certain points (called quadrature points ) multiplied by a number (called quadrature weights ).
gloss: The act or process of solving an indefinite integral by symbolic means.
pos: noun
tags: countable
uncountable
gloss: 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.
pos: noun
tags: countable
uncountable
examples: When the Moon is in quadrature, it appears in the sky as a half-moon.
gloss: The condition in which the phase angle between two alternating quantities is 90°.
pos: noun
tags: countable
uncountable
examples: 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.
gloss: A painting painted on a wooden panel.
pos: noun
tags: countable
uncountable
Related words: quadrate
quadratural
quadraturist
cubature
square the circle
Derived words: add in quadrature
differential quadrature
Gaussian quadrature
quadrature amplitude modulation
quadrature domain
space quadrature
Translations: