| 11. | For all x \ in X, where I _ C is the indicator function of C.
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| 12. | The hinge loss provides a relatively tight, convex upper bound on the 0 1 indicator function.
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| 13. | In many cases, such as order theory, the inverse of the indicator function may be defined.
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| 14. | It may be described as the " indicator function of 1 " within the set of positive integers.
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| 15. | Denote the number of subsets to which belongs, where we use the indicator functions of the sets.
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| 16. | As a counterexample, take " f " to be the indicator function of some equidistributed sequence.
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| 17. | Also, projections ( i . e . self-adjoint idempotents ) correspond to indicator functions of clopen sets.
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| 18. | Thus the indicator function of " B " does not agree with any column in at least one entry.
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| 19. | Except on a set of probability zero, where 1 _ A is the indicator function of " A ".
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| 20. | So, for example, when a theory defines the concept of a characteristic function or the indicator function of a relation.
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