| 41. | The same occurs with quotient spaces : they are commonly constructed as sets of equivalence classes.
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| 42. | The axioms for integers typically define them as equivalence classes of ordered pairs of natural numbers.
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| 43. | Communication is an equivalence relation, and communicating classes are the equivalence classes of this relation.
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| 44. | This means that we can consider homotopic equivalence class of paths to have different weighting factors.
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| 45. | The cardinal number of a set is the equivalence class of all sets equinumerous to it.
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| 46. | The 144 & times; 8 solutions can be categorized into the following two equivalence classes:
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| 47. | The codimension of a face gives the number of equivalence classes in the corresponding weak ordering.
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| 48. | As a result, the degree is well-defined on linear equivalence classes of divisors.
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| 49. | The equivalence classes of hyperarithmetical equivalence are known as "'hyperdegrees " '.
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| 50. | Interpolation does not depend only upon the isomorphic ( nor isometric ) equivalence classes of and.
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