Folding

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Folding

A slang term for a large amount of money, especially cash.

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The fuzzy folding of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] model is a folding [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and any [[??].sub.i] belong to the upper hypermanifolds [there exists] [[??].sub.j] down [??] such that [[mu].sub.i] = [[mu].sub.j] for every corresponding points, that is, [mu]([a.sub.i]) = [mu]([a.sub.j]) [15].

Now, we are going to discuss the fuzzy folding [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] model.

An isometric fuzzy folding of [[??].sup.4] model into itself may be defined by

Under the defined fuzzy folding and any fuzzy folding homeomorphic to this type of fuzzy folding, the fuzzy deformation retract of the fuzzy folded [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] model into the fuzzy folded geodesics is the same as the fuzzy deformation retract of [[??].sup.4] model into the fuzzy geodesics.

Now, let the fuzzy folding be defined by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where

If the fuzzy deformation retract of the fuzzy hyperboloid [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], the fuzzy retraction of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the limit of the fuzzy folding of [[??].sup.3] is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the fuzzy hyperboloid, then the relation between the fuzzy folding [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the limit of the fuzzy retractions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is discussed from the following commutative diagram.

Let the fuzzy folding is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], the limit of the fuzzy retractions of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

that is, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the corresponding relations between the two chains of fuzzy folding and the limit of fuzzy retraction are given by

Let the fuzzy retraction of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the fuzzy folding of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], then

(i) Let the fuzzy retraction of the fuzzy hyperboloid in [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] model be [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], the fuzzy retraction of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is folding of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the fuzzy [[??].sup.2].

Given the fuzzy deformation retract of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] model is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]; the limit of the fuzzy folding of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].