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complexifyin

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There are 12 letters in COMPLEXIFYIN ( C3E1F4I1L1M3N1O1P3X8Y4 )

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Complexifyin might refer to
Besides complexity intended as a difficulty to compute a function (see computational complexity), in modern computer science and in statistics another Complexity index of a function stands for denoting its information content, in turn affecting the difficulty of learning the function from examples.
* Complexity indices in this sense characterize the entire class of functions to which the one we are interested in belongs. Focusing on Boolean functions, the detail of a class
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* C
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* {\displaystyle {\mathsf {C}}}
* of Boolean functions c essentially denotes how deeply the class is articulated.
* To identify this index we must first define a sentry function of
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* {\displaystyle {\mathsf {C}}}
* .
* Let us focus for a moment on a single function c, call it a concept defined on a set
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* {\displaystyle {\mathcal {X}}}
* of elements that we may figure as points in a Euclidean space. In this framework, the above function associates to c a set of points that, since are defined to be external to the concept, prevent it from expanding into another function of
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* {\displaystyle {\mathsf {C}}}
* . We may dually define these points in terms of sentinelling a given concept c from being fully enclosed (invaded) by another concept within the class. Therefore, we call these points either sentinels or sentry points; they are assigned by the sentry function
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* {\displaystyle {\boldsymbol {S}}}
* to each concept of
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* {\displaystyle {\mathsf {C}}}
* in such a way that:* the sentry points are external to the concept c to be sentineled and internal to at least one other including it,
* each concept
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* c
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* {\displaystyle c'}
* including c has at least one of the sentry points of c either in the gap between c and
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* {\displaystyle c'}
* , or outside
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* {\displaystyle c'}
* and distinct from the sentry points of
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* , and
* they constitute a minimal set with these properties.The technical definition coming from (Apolloni 2006) is rooted in the inclusion of an augmented concept
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* {\displaystyle c^{+}}
* made up of c plus its sentry points by another
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