To date, there have been no reports of paroxysmal sympathetic hyperactivity syndrome (PSHS) associated with cerebral fat embolization. We describe the case of a young male who developed acute brain injury and acute hypoxemic respiratory failure secondary to significant fat embolization following a traumatic femur injury. Our patient demonstrated episodes of significant hypertension, tachycardia...

Heterogeneous DNA sequences can be partitioned into homogeneous domains that are comprised of the four nucleotides A, C, G, and T and the stop codons. Recursively, we apply a new entropic segmentation method on DNA sequences using Jensen-Shannon and Jensen-Rényi divergences in order to find the borders between coding and noncoding DNA regions. We have chosen 12and 18-symbol alphabets that captu...

* Correspondence: baak@hanyang. ac.kr Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea Full list of author information is available at the end of the article Abstract Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic se...

Given an arithmetic function a : N −→ R, one can associate a naturally defined, doubly infinite family of Jensen polynomials. Recent work of Griffin, Ono, Rolen, and Zagier shows that for certain families of functions a : N −→ R, the associated Jensen polynomials are eventually hyperbolic (i.e., eventually all of their roots are real). This work proves Chen, Jia, and Wang’s conjecture that the ...

Entropy-based divergence measures have shown promising results in many areas of engineering and image processing. In this study, we use the Jensen-Shannon and Jensen-Rényi divergence measures for DNA segmentation. Based on these information theoretic measures and protein shape coded in DNA, we propose a new approach to the problem of finding the borders between coding and noncoding DNA regions....

The main objective of this paper is to establish some new variants the Jensen–Mercer inequality via harmonically strongly convex function. We also propose fractional analogues Hermite–Hadamard–Jensen–Mercer-like inequalities using AB integrals. In order obtain our results, we derive integral identities. To demonstrate significance present interesting applications special means and error bounds ...

In this paper, we investigate the Hyers-Ulam stability of additive functional equations of two forms: of “Jensen” and “Jensen type” in the framework of multi-normed spaces. We therefore provide a link between multi-normed spaces and functional equations. More precisely, we establish the Hyers-Ulam stability of functional equations of these types for mappings from Abelian groups into multi-norme...

Jensen-Shannon divergence (JD) is a symmetrized and smoothed version of the most important divergence measure of information theory, Kullback divergence. As opposed to Kullback divergence it determines in a very direct way a metric; indeed, it is the square of a metric. We consider a family of divergence measures (JDα for α > 0), the Jensen divergences of order α, which generalize JD as JD1 = J...