| 41. | Let be the value of the variable of interest at a certain location.
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| 42. | Let be a polynomial with coefficients in a commutative ring and its discriminant.
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| 43. | For a rigorous proof, let be a primitive th root of unity.
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| 44. | Let be a tangent vector to the manifold at.
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| 45. | Let be a ratio given in its lowest terms.
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| 46. | Let be a subbundle of the tangent bundle of.
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| 47. | As an example let be an open interval and consider
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| 48. | Let be an arbitrary graph with no perfect matching.
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| 49. | Let be four integer numbers independently and uniformly chosen at random between and.
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| 50. | Let be the-path from with respect to.
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