## Definitions

• WordNet 3.6
• n quadratic a polynomial of the second degree
• n quadratic an equation in which the highest power of an unknown quantity is a square
• ***
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.
• ***
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.
• ***
Chambers's Twentieth Century Dictionary
• ***

## Etymology

Webster's Revised Unabridged Dictionary
Chambers's Twentieth Century Dictionary

## 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
"The Guarded Heights" by Wadsworth Camp
***

### In poetry:

Dinanzi a tutti,--accanto alla bandiera,
Marciava un uffiziale--dal torace spazioso,
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.
***

### 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
***