7,076 research outputs found
New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions
In this paper, by using some new and innovative techniques, some perturbed iterative
algorithms for solving generalized set-valued variational inclusions are suggested and
analyzed. Since the generalized set-valued variational inclusions include many variational
inclusions , variational inequalities and set-valued operator equation studied by others in
recent years, the results obtained in this paper continue to hold for them and represent a
significant refinement and improvement of the previously known results in this area
Breaking a novel colour image encryption algorithm based on chaos
Recently, a colour image encryption algorithm based on chaos was proposed by
cascading two position permutation operations and one substitution operation,
which are all determined by some pseudo-random number sequences generated by
iterating the Logistic map. This paper evaluates the security level of the
encryption algorithm and finds that the position permutation-only part and the
substitution part can be separately broken with only and 2 chosen plain-images, respectively, where is the size of the
plain-image. Concise theoretical analyses are provided to support the
chosen-plaintext attack, which are verified by experimental results also.Comment: 5 pages, 1 figur
Vector and Spinor Decomposition of SU(2) Gauge Potential, their quivalence and Knot Structure in SU(2) Chern-Simons Theory
In this paper, spinor and vector decomposition of SU(2) gauge potential are
presented and their equivalence is constructed using a simply proposal. We also
obtain the action of Faddeev nonlinear O(3) sigma model from the SU(2) massive
gauge field theory which is proposed according to the gauge invariant
principle. At last, the knot structure in SU(2) Chern-Simons filed theory is
discussed in terms of the --mapping topological current theory. The
topological charge of the knot is characterized by the Hopf indices and the
Brouwer degrees of -mapping.Comment: 10 pages, ni figur
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