We introduce the notion of intuitionistic fuzzy left k-ideals of semirings and investigate their ... more We introduce the notion of intuitionistic fuzzy left k-ideals of semirings and investigate their properties and connections with left k-ideals of the corresponding semirings. Next we give some important characterizations of intuitionistic fuzzy left k-ideals of different type and describe various methods of constructions of such intuitionistic fuzzy sets. Finally, we propose some natural classification of intuitionistic fuzzy left k-ideals.
International Journal of Phytoremediation: Vol. 4, No. 3, pp. 205–221 (2002) ... Arbuscular Mycor... more International Journal of Phytoremediation: Vol. 4, No. 3, pp. 205–221 (2002) ... Arbuscular Mycorrhizal Fungi Enhance Zinc and Nickel Uptake from Contaminated Soil by Soybean and Lentil ... Atif Jamal,1 Najma Ayub,1 Muhammad Usman,1 and Abdul G. Khan*2 1Department of ...
In Part−I, development and deployment of a general Nanoelectronic Modeling tool (NEMO 3-D) has be... more In Part−I, development and deployment of a general Nanoelectronic Modeling tool (NEMO 3-D) has been discussed. Based on the atomistic valence-force field (VFF) and the sp 3 d 5 s * nearest-neighbor tight-binding models, NEMO 3-D enables the computation of strain and electronic structure in nanostructures consisting of over 64 and 52 million atoms, corresponding to volumes of (110nm) 3 and (101nm) 3 , respectively. In this part, successful applications of NEMO 3-D are demonstrated in the atomistic calculation of single-particle electronic states of realistically-sized (1) self-assembled quantum dots (QDs) including long-range strain and piezoelectricity, (2) stacked quantum dot system as used in quantum cascade lasers, (3) SiGe quantum wells (QWs) for quantum computation, and (4) SiGe nanowires. These examples demostrate the broad NEMO 3-D capabilities and indicate the necessity of multimillion atomistic electronic structure modeling.
The authors apply a uniform Cramer-Rao (CR) bound (A.O. Hero, 1992) to study the bias-variance tr... more The authors apply a uniform Cramer-Rao (CR) bound (A.O. Hero, 1992) to study the bias-variance trade-offs in single photon emission computed tomography (SPECT) image reconstruction. The uniform CR bound is used to specify achievable and unachievable regions in the bias-variance trade-off plane. The image reconstruction algorithms considered here are: 1) space alternating generalized EM and 2) penalized weighted least-squares
We introduce the notion of intuitionistic fuzzy left k-ideals of semirings and investigate their ... more We introduce the notion of intuitionistic fuzzy left k-ideals of semirings and investigate their properties and connections with left k-ideals of the corresponding semirings. Next we give some important characterizations of intuitionistic fuzzy left k-ideals of different type and describe various methods of constructions of such intuitionistic fuzzy sets. Finally, we propose some natural classification of intuitionistic fuzzy left k-ideals.
International Journal of Phytoremediation: Vol. 4, No. 3, pp. 205–221 (2002) ... Arbuscular Mycor... more International Journal of Phytoremediation: Vol. 4, No. 3, pp. 205–221 (2002) ... Arbuscular Mycorrhizal Fungi Enhance Zinc and Nickel Uptake from Contaminated Soil by Soybean and Lentil ... Atif Jamal,1 Najma Ayub,1 Muhammad Usman,1 and Abdul G. Khan*2 1Department of ...
In Part−I, development and deployment of a general Nanoelectronic Modeling tool (NEMO 3-D) has be... more In Part−I, development and deployment of a general Nanoelectronic Modeling tool (NEMO 3-D) has been discussed. Based on the atomistic valence-force field (VFF) and the sp 3 d 5 s * nearest-neighbor tight-binding models, NEMO 3-D enables the computation of strain and electronic structure in nanostructures consisting of over 64 and 52 million atoms, corresponding to volumes of (110nm) 3 and (101nm) 3 , respectively. In this part, successful applications of NEMO 3-D are demonstrated in the atomistic calculation of single-particle electronic states of realistically-sized (1) self-assembled quantum dots (QDs) including long-range strain and piezoelectricity, (2) stacked quantum dot system as used in quantum cascade lasers, (3) SiGe quantum wells (QWs) for quantum computation, and (4) SiGe nanowires. These examples demostrate the broad NEMO 3-D capabilities and indicate the necessity of multimillion atomistic electronic structure modeling.
The authors apply a uniform Cramer-Rao (CR) bound (A.O. Hero, 1992) to study the bias-variance tr... more The authors apply a uniform Cramer-Rao (CR) bound (A.O. Hero, 1992) to study the bias-variance trade-offs in single photon emission computed tomography (SPECT) image reconstruction. The uniform CR bound is used to specify achievable and unachievable regions in the bias-variance trade-off plane. The image reconstruction algorithms considered here are: 1) space alternating generalized EM and 2) penalized weighted least-squares
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Papers by Muhammad Usman