| 1. | There are also formulas for the cubic and quartic equations.
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| 2. | The derivative of a quintic function is a quartic function.
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| 3. | All non-singular plane quartics arise in this way.
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| 4. | We now have a Quartic that satisfies the coefficient condition.
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| 5. | For a different parametrization and resulting quartic, see Lawrence.
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| 6. | Explicitly, the four points are for the four roots of the quartic.
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| 7. | Those of degree four are called quartic plane curves.
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| 8. | This potential is explored in detail in the article on the quartic interaction.
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| 9. | So lets calculate the formula that discribe the Quartics the fit this form.
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| 10. | We need to substitute an image that displays a formula for all quartics.
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