| 41. | You can continue manipulating the equation until you obtain a quartic equation and then attempt to find its roots.
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| 42. | :Unfortunately I don't know an easy way, as their always seem to occur quartic equations.
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| 43. | It vanishes when the ternary quartic can be written as a sum of five 4th powers of linear forms.
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| 44. | Quartic Casimir operators allow one to square the stress energy tensor, giving rise to the Yang-Mills action.
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| 45. | A quartic which obtains these 16 nodes is called a Kummer Quartic, and we will concentrate on them below.
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| 46. | A quartic which obtains these 16 nodes is called a Kummer Quartic, and we will concentrate on them below.
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| 47. | But we also know that a quartic with more than three double points must factor ( it cannot be conics.
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| 48. | A derivation of the quartic is given below, along with the desired width in terms of the quartic solution.
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| 49. | A derivation of the quartic is given below, along with the desired width in terms of the quartic solution.
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| 50. | :However, when you solve that equation you'll still end up having to solve the same quartic.
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