| 1. | Some studies have reflected discriminant validity, while others have not.
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| 2. | The discriminant can even be defined for polynomials over any commutative ring.
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| 3. | One popular example is Fisher's linear discriminant analysis.
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| 4. | In particular the modular discriminant of Weierstrass can be defined as
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| 5. | The following table shows some orders of small discriminant of quadratic fields.
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| 6. | The most commonly used example of this is the kernel Fisher discriminant.
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| 7. | In 1877, Alexander von Brill determined the sign of the discriminant.
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| 8. | In the same year, Minkowski published his bound on the discriminant.
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| 9. | Also note that the discriminant can be precisely 0 for real roots.
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| 10. | Kovacs reported in 1992 that further research on discriminant validity was needed.
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