Orthogonal moments are used to represent digital images with minimum
redundancy. Orthogonal moments with fractional-orders show better capabilities in
digital image analysis than integer-order moments. In this work, the authors present
new fractional-order shifted Gegenbauer polynomials. These new polynomials are
used to defined a novel set of orthogonal fractional-order shifted Gegenbauer moments
(FrSGMs). The proposed method is applied in gray-scale image analysis and
recognition. The invariances to rotation, scaling and translation (RST), are achieved
using invariant fractional-order geometric moments. Experiments are conducted to
evaluate the proposed FrSGMs and compare with the classical orthogonal integerorder
Gegenbauer moments (GMs) and the existing orthogonal fractional-order
moments. The new FrSGMs outperformed GMs and the existing orthogonal
fractional-order moments in terms of image recognition and reconstruction, RST
invariance, and robustness to noise.

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An analytical solution of the dynamical evolution of an intrinsic noise model of a V-type three-level atom confined in a cavity having one-mode coherent field via multi-photon transitions is obtained. We investigate the effect of the physical parameters of the qutrit-cavity unitary interaction, the intrinsic noise and the photon multiplicity, on important quantum effects such as: the atomic inversion, the quantum coherence, the entanglement and the total correlation. These physical parameters control the phenomenon of the collapses and revivals, and the regularity of the oscillatory behavior of the atomic-inversion. When the intrinsic noise is considered, the dynamics of the entropy, the negativity and the mutual information are different, while the entropy grows, the entanglement negativity and the mutual information degrades to their stationary values. It is found that the quantum coherence, the entanglement, the total correlation and their stationary values are very sensitive to any change in the physical parameters.

An analytical solution of the dynamical evolution of an intrinsic noise model of a V-type three-level atom confined in a cavity having one-mode coherent field via multi-photon transitions is obtained. We investigate the effect of the physical parameters of the qutrit-cavity unitary interaction, the intrinsic noise and the photon multiplicity, on important quantum effects such as: the atomic inversion, the quantum coherence, the entanglement and the total correlation. These physical parameters control the phenomenon of the collapses and revivals, and the regularity of the oscillatory behavior of the atomic-inversion. When the intrinsic noise is considered, the dynamics of the entropy, the negativity and the mutual information are different, while the entropy grows, the entanglement negativity and the mutual information degrades to their stationary values. It is found that the quantum coherence, the entanglement, the total correlation and their stationary values are very sensitive to any change in the physical parameters.

An analytical solution of the dynamical evolution of an intrinsic noise model of a V-type three-level atom confined in a cavity having one-mode coherent field via multi-photon transitions is obtained. We investigate the effect of the physical parameters of the qutrit-cavity unitary interaction, the intrinsic noise and the photon multiplicity, on important quantum effects such as: the atomic inversion, the quantum coherence, the entanglement and the total correlation. These physical parameters control the phenomenon of the collapses and revivals, and the regularity of the oscillatory behavior of the atomic-inversion. When the intrinsic noise is considered, the dynamics of the entropy, the negativity and the mutual information are different, while the entropy grows, the entanglement negativity and the mutual information degrades to their stationary values. It is found that the quantum coherence, the entanglement, the total correlation and their stationary values are very sensitive to any change in the physical parameters.

An analytical solution of the dynamical evolution of two qubits confined in a transmission line cavity is obtained in dispersive limit under intrinsic noise. The dynamics of non-classical correlations are investigated by using different measures based on the skew information quantifiers [including local quantum uncertainty and uncertainty-induced non-locality], the Bell function and logarithmic negativity for experimentally chosen parameters. It is found that the generation of the non-classical correlations and its robustness depend crucially on the transverse exchange interaction, the dissipation rate, the mean photon number, and the frequency shift. The phenomena of sudden disappearance and sudden appearance of entanglement are observed. The stationary correlations appear due to the intrinsic decoherence, which depends on the parameters of the chosen initial states.

An analytical solution of the dynamical evolution of two qubits confined in a transmission line cavity is obtained in dispersive limit under intrinsic noise. The dynamics of non-classical correlations are investigated by using different measures based on the skew information quantifiers [including local quantum uncertainty and uncertainty-induced non-locality], the Bell function and logarithmic negativity for experimentally chosen parameters. It is found that the generation of the non-classical correlations and its robustness depend crucially on the transverse exchange interaction, the dissipation rate, the mean photon number, and the frequency shift. The phenomena of sudden disappearance and sudden appearance of entanglement are observed. The stationary correlations appear due to the intrinsic decoherence, which depends on the parameters of the chosen initial states.

An analytical solution of the dynamical evolution of two qubits confined in a transmission line cavity is obtained in dispersive limit under intrinsic noise. The dynamics of non-classical correlations are investigated by using different measures based on the skew information quantifiers [including local quantum uncertainty and uncertainty-induced non-locality], the Bell function and logarithmic negativity for experimentally chosen parameters. It is found that the generation of the non-classical correlations and its robustness depend crucially on the transverse exchange interaction, the dissipation rate, the mean photon number, and the frequency shift. The phenomena of sudden disappearance and sudden appearance of entanglement are observed. The stationary correlations appear due to the intrinsic decoherence, which depends on the parameters of the chosen initial states.

Abstract—We describe a simple method to synthesize novel 4-cyano-1-morpholin-4-yl-6,7-dihydro-5Hcyclopenta[c]pyridine-3-thione by the reaction of 3-amino-1-thioxo-1,5,6,7-tetrahydrocyclopenta[c]thiopyran-4-carbonitrile with morpholine through Dimroth rearrangement. The 1-amino-5-morpholin-4-yl-7,8-dihydro-6H-cyclopenta[d]thieno[2,3-b]pyridine-2-carboxamide, which was synthesized by two methods,was used as a versatile precursor for synthesis of new thienopyrimidines fused to cyclopenta[d]pyridine ring system. Consequently,reaction of the amino-carboxamide with diethylmalonate, triethyl orthoformate,
and cycloalkanones afforded the corresponding fused pyrimidine heterocycles. On the other hand, chloroacetylation of the amino-carboxamide using chloroacetyl chloride in dioxane produced the chloroacetyl amino derivative that in turn underwent cyclocondensation upon reaction with acetic anhydride to give the chloromethyl
pyrimidinone. The latter compound was subjected to react with various nitrogen nucleophiles by nucleophilic substitution reactions to yield the akyl (aryl)amino methyl pyrimidinones. Subsequently, treatment of the phenyl aminomethyl derivative with formaldehyde under Mannich conditions produced the imidazopyridothienopyrimidine
ring system. Similarly, reaction of the phenyl aminomethyl pyrimidonone with chloroacetyl chloride afforded a new heterocyclic system namely, cyclopentapyrido thienopyrimidopyrazine. On the other hand, reaction of the amino-carboxamide with carbon disulfide in pyridine led to the formation of oxopyrimidine thione,
which was alkylated by the reaction with different α-halo carbonyl compounds. The newly synthesized compounds were fully characterized on the basis of elemental and spectral analyses. Alternatively, some of these compounds revealed promising antibacterial and antifungal activities through the in vitro screening.

Abstract—We describe a simple method to synthesize novel 4-cyano-1-morpholin-4-yl-6,7-dihydro-5Hcyclopenta[c]pyridine-3-thione by the reaction of 3-amino-1-thioxo-1,5,6,7-tetrahydrocyclopenta[c]thiopyran-4-carbonitrile with morpholine through Dimroth rearrangement. The 1-amino-5-morpholin-4-yl-7,8-dihydro-6H-cyclopenta[d]thieno[2,3-b]pyridine-2-carboxamide, which was synthesized by two methods,was used as a versatile precursor for synthesis of new thienopyrimidines fused to cyclopenta[d]pyridine ring system. Consequently,reaction of the amino-carboxamide with diethylmalonate, triethyl orthoformate,
and cycloalkanones afforded the corresponding fused pyrimidine heterocycles. On the other hand, chloroacetylation of the amino-carboxamide using chloroacetyl chloride in dioxane produced the chloroacetyl amino derivative that in turn underwent cyclocondensation upon reaction with acetic anhydride to give the chloromethyl
pyrimidinone. The latter compound was subjected to react with various nitrogen nucleophiles by nucleophilic substitution reactions to yield the akyl (aryl)amino methyl pyrimidinones. Subsequently, treatment of the phenyl aminomethyl derivative with formaldehyde under Mannich conditions produced the imidazopyridothienopyrimidine
ring system. Similarly, reaction of the phenyl aminomethyl pyrimidonone with chloroacetyl chloride afforded a new heterocyclic system namely, cyclopentapyrido thienopyrimidopyrazine. On the other hand, reaction of the amino-carboxamide with carbon disulfide in pyridine led to the formation of oxopyrimidine thione,
which was alkylated by the reaction with different α-halo carbonyl compounds. The newly synthesized compounds were fully characterized on the basis of elemental and spectral analyses. Alternatively, some of these compounds revealed promising antibacterial and antifungal activities through the in vitro screening.