| 1. | Most instances of geometric algebras of interest have a nondegenerate quadratic form.
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| 2. | See the section Conic section and quadratic form, above.
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| 3. | In this case the symplectic form reduces to a simple quadratic form.
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| 4. | Substituting into the quadratic form gives an unconstrained minimization problem:
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| 5. | Quadratic forms and Clifford algebras in characteristic 2 form an exceptional case.
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| 6. | Since the quadratic form is a scalar, so is its expectation.
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| 7. | The matrix of the quadratic form in ( x, y ).
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| 8. | This became known as the Milnor's conjecture on quadratic forms.
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| 9. | A form of degree 2 is a quadratic form.
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| 10. | The Markov spectrum deals directly with the phenomena associated to those quadratic forms.
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