Let $A$ be a Noetherian ring, $I$ be an ideal of $A$ and $sigma$ be a semi-prime operation, different from the identity map on the set of all ideals of $A$. Results of Essan proved that the sets of associated prime ideals of $sigma(I^n)$, which denoted by $Ass(A/sigma(I^n))$, stabilize to $A_{sigma}(I)$. We give some properties of the sets $S^{sigma}_{n}(I)=Ass(A/sigma(I^n))setminus A_{sigma}(I...

the effects of substituents on the symmetry and the nature of halogen bonds in [n∙∙∙x∙∙∙n]+-type systems are presented for the yc5h4n∙∙∙x∙∙∙nc5h5 (y = no2, cn, h, ch3, och3, oh, nh2, x = cl, br, i) complexes. some structural parameters, energy data and electronic properties were explored with the density functional theory (dft) calculations. in addition, electrostatic potentials were used in es...

In the last few years appeared pedagogical propositional natural deduction systems. In these systems, one must satisfy the pedagogical constraint : the user must give an example of any introduced notion. In formal terms, for instance in the propositional case, the main modification is that we replace the usual rule (hyp) by the rule (p-hyp) F ∈ Γ (hyp) Γ ⊢ F F ∈ Γ ⊢ σ · Γ (p-hyp) Γ ⊢ F where σ ...

This thesis consists of four chapters. The first two chapters pertain to the design of stable quantization methods for analog to digital conversion, while the third and fourth chapters concern problems related to compressive sensing. In the first chapter, we study the β-encoder and golden ratio encoder, and show that these quantization schemes are robust with respect to uncertainty in the multi...