5,685 research outputs found
The Effect of Rekattidiri Ovitrap Towards Aedes Aegypti Larval Density
Dengue Hemorrhagic Fever (DHF) is a health problem in Indonesia. The entire region of Indonesia at risk of contracting dengue disease. The study aims to prove the effect of modifications ovitrap rekattidiri on the density of larvae (HI: House Index, CI: Container Index and BI: Breteu Index) as well as comparing the differences between the mean larvae trapped between ovitrap Rekattidiri with standard ovitrap. Using a quasi experimental design, time series experimental design with Control group. Population subjects were Aedes aegypti at the endemic sites in Pontianak, West Borneo. The results showed larval density index in the intervention area decreased each ie HI from 26% to 3%, CI of 6.95% to 2.19 %, and BI from 29% to 13%. The number of larvae trapped in ovitrap rekattidiri ie 70% (12,770 larvae) more than the standard ovitrap in the control and intervention, namely: 17% (3,057 larvae) and 13% (2,334 larvae). It is concluded that there are significant modifications Rekattidiri ovitrap against larval density index (HI p-value: 0.025, CI p-value: 0.052, BI value of p: 0.04) and there are differences between the mean larvae trapped in ovitrap Rekattidiri and standard ovitrap with p value: 0.001
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions
For an arbitrary open, nonempty, bounded set ,
, and sufficiently smooth coefficients , we consider
the closed, strictly positive, higher-order differential operator in defined on , associated with
the higher-order differential expression and its Krein--von Neumann extension
in . Denoting by , , the eigenvalue counting function
corresponding to the strictly positive eigenvalues of , we derive the bound where (with ) is connected to the eigenfunction expansion of the self-adjoint
operator in defined on
, corresponding to . Here denotes the (Euclidean) volume of the unit ball in
.
Our method of proof relies on variational considerations exploiting the
fundamental link between the Krein--von Neumann extension and an underlying
abstract buckling problem, and on the distorted Fourier transform defined in
terms of the eigenfunction transform of in
.
We also consider the analogous bound for the eigenvalue counting function for
the Friedrichs extension in of
.
No assumptions on the boundary of are made.Comment: 39 pages. arXiv admin note: substantial text overlap with
arXiv:1403.373
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