77,556 research outputs found
Comment on "Novel Convective Instabilities in a Magnetic Fluid"
Comment on the paper "Novel Convective Instabilities in a Magnetic Fluid" by
W. Luo, T. Du, and J. Huang, Phys. Rev. Lett., v.82, p.4134 (1999).Comment: 1 page, 1 figure, To appear in Phys. Rev. Lett. (2001
Comment on "Quantum discord through the generalized entropy in bipartite quantum states"
In [X.-W. Hou, Z.-P. Huang, S. Chen, Eur. Phys. J. D 68, 1 (2014)], Hou et
al. present, using Tsallis' entropy, possible generalizations of the quantum
discord measure, finding original results. As for the mutual informations and
discord, we show here that these two types of quantifiers can take negative
values. In the two qubits instance we further determine in which regions they
are non-negative. Additionally, we study alternative generalizations on the
basis of R\'enyi entropies.Comment: 5 pages, 4 figure
Retracted: Effect of Paris polyphylla extract on seconddegree burns in rats
This article previously published in Volume 15 Issue 10 of this journal in October 2016 has beenretracted in line with the guidelines from the Committee on Publication Ethics (COPE,http://publicationethics.org/resources/guidelines)Retracted: Ma Z, Yin W, Hu G, Zhu Z, Huang Z. Effect of Paris polyphylla extract on second-degree burns in rats. Trop J Pharm Res 2016; 15(10):2131-2135 doi: http://dx.doi.org/10.4314/tjpr.v15i10.11From the EditorOur attention was drawn to the falsification of the data published in this article which was confirmed.The corresponding author, Zhi-jian Huang, failed to respond to communication in this respect.26 January 201
Exact eigenvalue assignment of linear scalar systems with single delay using Lambert W function
Eigenvalue assignment problem of a linear scalar system with a single
discrete delay is analytically and exactly solved. The existence condition of
the desired eigenvalue is established when the current and delay states are
present in the feedback loop. Design of the feedback controller is then
followed. Furthermore, eigenvalue assignment for the input-delay system is also
obtained as well. Numerical examples illustrate the procedure of assigning the
desired eigenvalue
A first step toward higher order chain rules in abelian functor calculus
One of the fundamental tools of undergraduate calculus is the chain rule. The
notion of higher order directional derivatives was developed by Huang,
Marcantognini, and Young, along with a corresponding higher order chain rule.
When Johnson and McCarthy established abelian functor calculus, they proved a
chain rule for functors that is analogous to the directional derivative chain
rule when . In joint work with Bauer, Johnson, and Riehl, we defined an
analogue of the iterated directional derivative and provided an inductive proof
of the analogue to the chain rule of Huang et al.
This paper consists of the initial investigation of the chain rule found in
Bauer et al., which involves a concrete computation of the case when . We
describe how to obtain the second higher order directional derivative chain
rule for abelian functors. This proof is fundamentally different in spirit from
the proof given in Bauer et al. as it relies only on properties of cross
effects and the linearization of functors
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