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Mathematics, Volume 4, Issue 2

June 2016 - 22 articles

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Articles (22)

  • Article
  • Open Access
6 Citations
4,953 Views
13 Pages

In our previous work (Journal of Nonlinear Science and Applications 9: 1202–1215, 2016), we studied the well-posedness and general decay rate for a transmission problem in a bounded domain with a viscoelastic term and a delay term. In this paper, we...

  • Feature Paper
  • Article
  • Open Access
8 Citations
6,173 Views
12 Pages

We derive entropic uncertainty relations for successive generalized measurements by using general descriptions of quantum measurement within two distinctive operational scenarios. In the first scenario, by merging two successive measurements into one...

  • Feature Paper
  • Article
  • Open Access
13 Citations
6,768 Views
21 Pages

Measurement Uncertainty for Finite Quantum Observables

  • René Schwonnek,
  • David Reeb and
  • Reinhard F. Werner

Measurement uncertainty relations are lower bounds on the errors of any approximate joint measurement of two or more quantum observables. The aim of this paper is to provide methods to compute optimal bounds of this type. The basic method is semidefi...

  • Feature Paper
  • Article
  • Open Access
19 Citations
6,438 Views
14 Pages

An unexpected connection exists between compatibility criteria for quantum states and Symmetric Informationally Complete quantum measurements (SIC-POVMs). Beginning with Caves, Fuchs and Schack’s "Conditions for compatibility of quantum state assignm...

  • Article
  • Open Access
5 Citations
4,318 Views
14 Pages

Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics

  • Andronikos Paliathanasis,
  • Richard M. Morris and
  • Peter G. L. Leach

We analyse two classes of ( 1 + 2 ) evolution equations which are of special interest in Financial Mathematics, namely the Two-dimensional Black-Scholes Equation and the equation for the Two-factor Commodities Problem. Our approach is that of...

  • Article
  • Open Access
16 Citations
5,488 Views
11 Pages

This study deals with the control of chaotic dynamics of tumor cells, healthy host cells, and effector immune cells in a chaotic Three Dimensional Cancer Model (TDCM) by State Space Exact Linearization (SSEL) technique based on Lie algebra. A non-lin...

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Mathematics - ISSN 2227-7390