quadratic

Definitions

  • WordNet 3.6
    • adj quadratic of or relating to the second power "quadratic equation"
    • adj quadratic of or relating to or resembling a square "quadratic shapes"
    • n quadratic a polynomial of the second degree
    • n quadratic an equation in which the highest power of an unknown quantity is a square
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Webster's Revised Unabridged Dictionary
    • Quadratic Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.
    • Quadratic (Alg) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
    • Quadratic (Crystallog) Tetragonal.
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Century Dictionary and Cyclopedia
    • quadratic In algebra, involving the square and no higher power of the unknown quantity or variable of the second degree; of two dimensions.
    • quadratic In crystallography, tetragonal or dimetric: applied to the system that includes the square prism and related forms. See crystallography.
    • n quadratic In algebra, an equation in which the highest power of the unknown quantity is the second, the general form being Such an equation has two solutions, real, equal, or imaginary, expressed by the formula
    • n quadratic plural That branch of algebra which treats of quadratic equations.
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Chambers's Twentieth Century Dictionary
    • adj Quadratic pertaining to, containing, or denoting a square
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Etymology

Webster's Revised Unabridged Dictionary
Cf. F. quadratique,
Chambers's Twentieth Century Dictionary
O. Fr. quadrat—L. quadratus, pa.p. of quadrāre, to square—quatuor, four.

Usage

In literature:

This quadrator has since published a little slip and entered it at Stationers' Hall.
"Myths and Marvels of Astronomy" by Richard A. Proctor
They then solve by a Quadratic.
"A Tangled Tale" by Lewis Carroll
Lamont is not unhappy: he keeps his mind active by solving stiff quadratic equations and fiddling with Cartesian co-ordinates.
"Literary Tours in The Highlands and Islands of Scotland" by Daniel Turner Holmes
The value of such a fraction is the positive root of a quadratic equation whose coefficients are real and of which one root is negative.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2" by Various
The dorsal side of the quadrate is grooved between two anterolaterally directed ridges.
"A New Order of Fishlike Amphibia From the Pennsylvanian of Kansas" by Theodore H. Eaton
The muscle also has an origin from the otic process of the quadrate, partly fleshy and partly by a slight aponeurosis.
"Jaw Musculature of the Mourning and White-winged Doves" by Robert L. Merz
To make a square quadrate of any righte lyne appoincted.
"The Path-Way to Knowledg" by Robert Record
The upper posterior cheek-teeth are large and quadrate.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 4" by Various
The quadrate is distinct and closely applied to the posteroventral margin of the complex.
"A New Genus of Pennsylvania Fish (Crossoperygii, Coelacanthiformes) from Kansas" by Joan Echols
Can he solve a quadratic equation in his head?
"The Guarded Heights" by Wadsworth Camp
Therefore v^3 and z^3 are the roots of the quadratic t^2 + rt - q^2/27 = 0.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7" by Various
That quadratic problem counted thirty credits.
"Marjorie Dean, High School Junior" by Pauline Lester
Solve the pure quadratic (7)/(3S^2) - (11)/(9S^2) = 5/6.
"A Review of Algebra" by Romeyn Henry Rivenburg
The free surfaces of the upper teeth are quadrate, except the first and last, which are nearly triangular.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 6" by Various
Clip-quadrat studies confirmed this observation and showed the bluegrass understory to be especially heavy.
"A Population Study of the Prairie Vole (Microtus ochrogaster) in Northeastern Kansas" by Edwin P. Martin
Seeds quadrate or oblong with truncate ends, mealy-pubescent or glabrate; hilum linear.
"The Manual of the Botany of the Northern United States" by Asa Gray
The tympanic ring has been held to be the equivalent of the quadrate.
"The Cambridge Natural History, Vol X., Mammalia" by Frank Evers Beddard
The quadrate is elongated, with a very large pneumatic foramen.
"Trees. A Woodland Notebook" by Herbert Maxwell
The quadrate is elongated, with a very large pneumatic foramen.
"Extinct Birds" by Walter Rothschild
That from below the base of the Tazza descended in a vertical line to the base, which stood upon a quadrate plinth.
"Thoughts on Art and Autobiographical Memoirs of Giovanni Duprè" by Giovanni Duprè
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In poetry:

Dinanzi a tutti,--accanto alla bandiera,
Marciava un uffiziale--dal torace spazioso,
Dalle spalle quadrate.--Marciava silenzioso,
Colla fronte dimessa;--parea sopra pensieri.
"Fuoco" by Ferdinando Fontana

In news:

The quadratic formula, parabolas, the Fibonacci sequence.
The formulas are based on quadratic polynomials for the construction of derivative continuous surfaces rather than on the cubic polynomials generally used.
I learned about the complex plane at about the same time I learned of the quadratic formula.
Zoltan Cendes, Steven Wong, "C1 Quadratic Interpolation over Arbitrary Point Sets," IEEE Computer Graphics and Applications, vol 7, no 11, pp.
The training of support vector machines (SVM) involves a quadratic programming problem, which is often optimized by a complicated numerical solver.
Phosphorus -31 MRI of hard and soft solids using quadratic echo line-narrowing PNAS: Early Edition.
I kind of remember how to do quadratic equations.
Thermo Fisher Scientific recently re-launched the RIIDEye, a handheld radiation isotope identifier that uses patented Quadratic Compression Conversion technology to provide real-time gamma source identification More.
Thermo Fisher Scientific recently re-launched the RIIDEye, a handheld radiation isotope identifier that uses patented Quadratic Compression Conversion technology to provide real-time gamma source identification.
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In science:

Here we explain how the augmented LF allows us modeling diffraction. A lens, focal length f and aperture size A, can be decomposed of a pure phase mask of quadratic phase variation (i.e., quadratic change in optical path length as a function of x) and an amplitude mask of a rectangular aperture as shown in Fig. 12(a).
Augmenting Light Field to model Wave Optics effects
This is a classical optimization problem with a quadratic ob jective that possesses several difficulties: First, we are trying to maximize a non-negative definite quadratic function - thus our problem is inherently non-convex1 , even for small portions of S .
On blind searches for noise dominated signals: a loosely coherent approach
Since for odd residue characteristic (O∗F , O∗F)F = 1 (see Lemma 3.3 for this well known fact), we conclude, using (2.12), that ι2n restricted to P (F) ∩ S p2n (OF ) is a quadratic character and hence has the form p 7→ χ(det p), where χ is a quadratic character of O∗F .
The Langlands-Shahidi Method for the metaplectic group and applications
Thus, there is Remark: Since F∗ ≃ O∗F × Z it follows that F∗/F∗ 2 ≃ O∗F/O∗F an isomorphism between the group of quadratic characters of F∗ and the group of quadratic F , η(π)(cid:1).
The Langlands-Shahidi Method for the metaplectic group and applications
Every quadratic character of GLn (F) is of the form g 7→ χ(cid:0)det(g)(cid:1), where χ is a quadratic character of F∗ .
The Langlands-Shahidi Method for the metaplectic group and applications
Knebusch ( [[K1,K2]]) has developed the notion of excellent quadratic forms which has been useful in the study of regular quadratic forms.
Excellence of G_2 and F_4
We prove that the diagonal cohomology ring is quadratic, and any quadratic ring can be realized as the diagonal cohomology, in Section 6.
Mixed Artin-Tate motives with finite coefficients
To verify uniqueness in (4), notice that in the assumptions of (4) the coalgebra C is quadratic by [34, Proposition 1], so it is uniquely determined by its quadratic dual algebra A.
Mixed Artin-Tate motives with finite coefficients
Besides, one can easily see that the algebra A is quadratic dual to the quadratic part of the graded coalgebra grF C (cf. [34, Proposition 2]).
Mixed Artin-Tate motives with finite coefficients
The quadratic coring C constructed in this way is called quadratic dual to the quadratic big ring A.
Mixed Artin-Tate motives with finite coefficients
The nonpositively graded coring over S ⊗k A0 quadratic dual to S ⊗k A is naturally isomorphic to S ⊗k C , where C is the coring quadratic dual to A.
Mixed Artin-Tate motives with finite coefficients
Recall the definition of a quadratic big ring from Subsection 6.1 and the definitions of a quadratic coring and the quadratic duality from the first proof in Subsection 6.2.
Mixed Artin-Tate motives with finite coefficients
Suppose a quadratic big ring A and a quadratic coring C are quadratic dual to each other.
Mixed Artin-Tate motives with finite coefficients
According to Corollary, quadratic dual quadratic big ring and quadratic coring are Koszul simultaneously.
Mixed Artin-Tate motives with finite coefficients
In this section we recall a procedure that we use to transform Markov processes with linear regressions and quadratic conditional variances into the quadratic harnesses.
Quadratic harnesses from generalized beta integrals
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