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Factoid Details

‘A polynomial can be cubic.’

[⟨det polynomial.n⟩ cubic.a]

Learned by Reading

In Wikipedia:

A generic invariant renormalizable superpotential is a (complex) [Formula 32] invariant cubic polynomial in the superfields which has an R – charge of 2.
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In the ICWSM 2009 Weblog Corpus:

That is, until, I came face – to – face with calculus and the realization that the function of’ ‘x’’ in regards to the derivative of any cubic polynomial does not and will not ever equal “COWABUNGA!
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In Wikipedia:

If one takes “L” to be the splitting field of “X ’n” “a” over Q’ “, where” a “is not a cube in the rational numbers, then” L “contains a subfield” K “with three cube roots of 1; that is because if and are roots of the cubic polynomial, we shall have (/) 3 = 1 and the cubic is a separable polynomial.
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In the British National Corpus:

Remark With regard to irreducibility, 1.11.6 is chiefly of use in showing certain cubic polynomials in Q[x] irreducible, because if a cubic polynomial is reducible at least one of the facts must have degree 1.
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In Wikipedia:

The sign map has kernel [Formula 17] which yields the short exact sequence [Formula 18] In Galois theory, the map [Formula 19] corresponds to the resolving quadratic for a cubic polynomial, as discovered by Gerolamo Cardano, while the [Formula 20] kernel corresponds to the use of the discrete Fourier transform of order 3 in the solution, in the form of Lagrange resolvents.
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In Wikipedia:

Definition of the terms. defines a non – singular cubic curve with integer coefficients “a”, “b”, “c”, and let “D” be the discriminant of the cubic polynomial on the right side: Statement of the theorem.
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In Wikipedia:

In the same way, the symmetric group of order four S4 has a Klein four – group as normal subgroup, with quotient a symmetric group of order three S3, which allows one to solve a quartic in terms of a cubic resolving polynomial.
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In Wikipedia:

For a cubic polynomial the expressions are Signal distortion and noise reduction.
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In Wikipedia:

The geometric problem of angle trisection can be related to algebra specifically, the roots of a cubic polynomial since by the triple – angle formula, [Formula 1] Denote the rational numbers [Formula 2].
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In Wikipedia:

Operator of order 3. with smooth coefficients and look for a factorization Similar to the case of the operator [Formula 51] the conditions of factorization are described by the following system: with [Formula 62] and again [Formula 63] i. e. [Formula 28] and three – step procedure yields: At the first step’ “, the roots of a” cubic polynomial “have to be found.
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In Wikipedia:

If “f (x)” is a cubic or quartic polynomial, then the resulting curve is an elliptic curve.
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In Wikipedia:

By fitting a cubic polynomial to the points and their derivatives (gotten through the differential equation), one can predict a point [Formula 5] by extrapolating to a future time [Formula 6].
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In Wikipedia:

It will be isomorphic to a field of the form where “f” is an irreducible cubic polynomial with coefficients in Q ’”.
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In the ICWSM 2009 Weblog Corpus:

This is almost certainly because I’ve used a cubic polynomial to fit to the data to detrend it.
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In the ICWSM 2009 Weblog Corpus:

Statistical analysis runs the gamut from linear, logarithmic, exponential and power to quadratic polynomial, cubic polynomial, and quartic polynomial regressions.
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In Wikipedia:

Another example is an implicit function given by “x” – “C” (“y”) = 0 where “C” is a cubic polynomial having a “hump” in its graph.
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In Wikipedia:

Still better might be a cubic polynomial “a” + “b” (“x” – “x” 0) + “c” (“x” – “x” 0) + “d” (“x” – “x” 0), and this idea can be extended to arbitrarily high degree polynomials.
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In Wikipedia:

The graph of the cubic polynomial on the real line If this set is plotted on a Cartesian plane, the result is a curve (see figure).
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In Wikipedia:

The graph of the cubic polynomial on the real line If this set is plotted on a Cartesian plane, the result is a curve (see figure).
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And 12 more sentences.

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Queried on 2013-05-22.