The invariant Cantor sets of the logistic map gμ(x) = μx(1 − x) for μ > 4 are hyperbolic and form a continuous family. We show that this family can be obtained explicitly through solutions of infinitely coupled differential equations due to the hyperbolicity. The same result also applies to the tent map Ta(x) = a(1/2− |1/2− x|) for a > 2.

We are interested in iterates of the logistic map T : [0, 1] → [0, 1] defined by

A sweeping algorithm can generate hexahedral meshes by sweeping an all-quad mesh on the source surface to the target surface. For one-toone sweeping, the most difficult thing is to generate an all-quad mesh on the target surface which has the same mesh connectivity as that of the source surface. The traditional method is to use the affine transformation, like translation, rotation, scaling or c...

chronic kidney disease (ckd) is an increasing cause of morbidity and mortality worldwide. prospective data on risk factors for ckd are few. hypertension is one of the risk factors for ckd. in the past serum creatinine concentration was used as marker of kidney function but it proffers a late reflection of reduced glomerular filtration rate(gfr), which limits its ability to detect impaired kidne...

Encryption is an important issue in information security which is usually provided using a reversible mathematical model. Digital image as a most frequently used digital product needs special encryption algorithms. This paper presents a new encryption algorithm high security for digital gray images using genetic algorithm and Lattice Map function. At the first the initial value of Logistic Map ...

A Longitudinal Analysis of Moving Desires, Expectations and Actual Moving Behaviour Many theories of residential mobility contend that individuals express a sequence of moving desires, intentions and expectations prior to moving. Much research has investigated how individuals form these pre-move thoughts, with a largely separate literature examining actual mobility. Only a few studies have atte...

The presented Softmax Regression classifier is a generalization of logistic regression. It is used for multi-class classification, where classes are mutually exclusive. Implemented in a classification framework, it provides a flexible approach to customize a classification process. Traditional classification is focused with classifiers that can only be applied on the same dataset. The Softmax R...