Definition of Quadratures. Meaning of Quadratures. Synonyms of Quadratures

Here you will find one or more explanations in English for the word Quadratures. Also in the bottom left of the page several parts of wikipedia pages related to the word Quadratures and, of course, Quadratures synonyms and on the right images related to the word Quadratures.

Definition of Quadratures

Quadrature
Quadrature Quad"ra*ture, n. [L. quadratura: cf. F. quadrature. See Quadrate, a.] 1. (Math.) The act of squaring; the finding of a square having the same area as some given curvilinear figure; as, the quadrature of a circle; the operation of finding an expression for the area of a figure bounded wholly or in part by a curved line, as by a curve, two ordinates, and the axis of abscissas. 2. A quadrate; a square. --Milton. 3. (Integral Calculus) The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable. 4. (Astron.) The position of one heavenly body in respect to another when distant from it 90[deg], or a quarter of a circle, as the moon when at an equal distance from the points of conjunction and opposition. Quadrature of the moon (Astron.), the position of the moon when one half of the disk is illuminated. Quadrature of an orbit (Astron.), a point in an orbit which is at either extremity of the latus rectum drawn through the empty focus of the orbit.

Meaning of Quadratures from wikipedia

- circle Optical phase space quadratures, operators which represent the real and imaginary parts of the complex amplitude Quadrature (astronomy), the position...
- case in numerical analysis; see numerical quadrature. Also, reduction to quadratures and solving by quadratures means expressing solutions of differential...
- Gaussian Quadratures and Christoffel Functions. SIAM. ISBN 978-1-611976-34-2. Gil, Amparo; Segura, Javier; Temme, Nico M. (2007), "§5.3: Gauss quadrature", Numerical...
- some figures (for example the Lune of Hippocrates) a quadrature can be performed. The quadratures of a sphere surface and a parabola segment done by Archimedes...
- the Newton–Cotes quadrature rules or simply Newton–Cotes rules, are a group of formulas for numerical integration (also called quadrature) based on evaluating...
- MR 0166397. Steen, N. M.; Byrne, G. D.; Gelbard, E. M. (1969). "Gaussian quadratures for the integrals ∫ 0 ∞ e − x 2 f ( x ) d x {\displaystyle \textstyle...
- system, a plot of the quadratures against each other, possibly as functions of time, is called a phase diagram. If the quadratures are functions of time...
- sometimes used as a metaphor for trying to do the impossible. The term quadrature of the circle is sometimes used as a synonym for squaring the circle....
- Quadrature of the Parabola (Gr****: Τετραγωνισμὸς παραβολῆς) is a treatise on geometry, written by Archimedes in the 3rd century BC and addressed to his...
- into, or synthesized from, two amplitude-modulated sinusoids that are in quadrature phase, i.e., with a phase offset of one-quarter cycle (90 degrees or π/2...