quadrature
/ˈkwɑ.dɹəˌt͡ʃʊɚ/
Word Rarity
Very rare
Frequency: Zipf frequency 2.35 in modern English
20
Scrabble Score
10
Letters
3
Syllables
7
Unique Chars
Meaning
noun
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
noun
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
noun
The condition in which the phase angle between two alternating quantities is 90°.
Countable; Uncountable
Example Sentences
- "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."
- "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 )."
- "When the Moon is in quadrature, it appears in the sky as a half-moon."
Etymology
Etymology tree Proto-Indo-European *kʷetwṓr Proto-Italic *kʷettwōr Latin quattuor ▲ Latin quadrōbf.? Latin quadrus Latin quadrō Proto-Indo-European *-tew-? Proto-Indo-European *-r-eh₂? Latin -tūra Latin quadrātūrabor. English quadrature Borrowed from Latin quadrātūra.
Regional Pronunciation
- American English: /ˈkwɑ.dɹəˌt͡ʃʊɚ/
- British English: /ˈkwɒd.ɹəˌtjʊə(ɹ)/
Usage
Inflected Forms
Phrases
add in quadrature
differential quadrature
Gaussian quadrature
quadrature amplitude modulation
quadrature domain
space quadrature
square the circle