| 31. | For a ternary quartic the catalecticant vanishes when the form is a sum of 5 4th powers.
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| 32. | The image in the quartic function article displays a formula for quartics whose leading coefficient is 1.
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| 33. | The image in the quartic function article displays a formula for quartics whose leading coefficient is 1.
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| 34. | The characteristic equation of a fourth-order linear difference equation or differential equation is a quartic equation.
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| 35. | The 56 lines of the del Pezzo surface map in pairs to the 28 bitangents of a quartic.
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| 36. | Interesting examples are provided by the Bolza surface, Klein quartic, Macbeath surface, First Hurwitz triplet.
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| 37. | The quartic equation was solved numerically by computer and has never been validated by titration or phsyiological experiments.
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| 38. | This can be simplified by starting again with the depressed quartic, which can be obtained by substituting for.
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| 39. | Bombelli had the foresight to see that imaginary numbers were crucial and necessary to solving quartic and cubic equations.
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| 40. | A quartic equation has four solutions, and only one solution for this equation matches the problem as presented.
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