Title: On Logical Extension of Algebraic Division
Abstract: Basic arithmetic is the cornerstone of mathematics and computer sciences. In arithmetic, ‘division by zero’ is an undefined operation and any attempt at extending logic for algebraic division to incorporate division by zero has resulted in paradoxes and fallacies. However, there is no proven theorem or mathematical logic that suggests that, defining logic for division by zero would result in break-down of theory. Basing on this motivation, in this paper, we attempt at logically defining a solution for ‘division by zero’ problem.
URL: http://arxiv.org/abs/1101.2798
Abstract: Basic arithmetic is the cornerstone of mathematics and computer sciences. In arithmetic, ‘division by zero’ is an undefined operation and any attempt at extending logic for algebraic division to incorporate division by zero has resulted in paradoxes and fallacies. However, there is no proven theorem or mathematical logic that suggests that, defining logic for division by zero would result in break-down of theory. Basing on this motivation, in this paper, we attempt at logically defining a solution for ‘division by zero’ problem.
URL: http://arxiv.org/abs/1101.2798
Title: An Alternate Graphical Representation of Periodic table of Chemical Elements
Abstract: Periodic table of chemical elements symbolizes an elegant graphical representation of symmetry at atomic level and provides an overview on arrangement of electrons. It started merely as tabular representation of chemical elements, later got strengthened with quantum mechanical description of atomic structure and recent studies have revealed that periodic table can be formulated using SO(4,2)* SU(2) group. IUPAC, the governing body in Chemistry, doesn’t approve any periodic table as a standard periodic table. The only specific recommendation provided by IUPAC is that the periodic table should follow the 1 to 18 group numbering. In this technical paper, we describe a new graphical representation of periodic table, referred as ‘Circular form of Periodic table’. The advantages of circular form of periodic table over other representations are discussed along with a brief discussion on history of periodic tables.
URL: http://arxiv.org/abs/0910.0273
Title: Frequency Analysis of Decoupling Capacitors for Three Voltage Supplies in SoC
Abstract: Reduction in power consumption has become a major criterion of design in modern ICs. One such scheme to reduce power consumption by an IC is the use of multiple power supplies for critical and non-critical paths. To maintain the impedance of a power distribution system below a specified level, multiple decoupling capacitors are placed at different levels of power grid hierarchy. This paper describes about three-voltage supply power distribution systems. The noise at one power supply can propagate to the other power supply, causing power and signal integrity problems in the overall system. Effects such as anti-resonance and remedies for these effects are studied. Impedance of the three-voltage supply power distribution system is calculated in terms of RLC-model of decoupling capacitors. Further the obtained impedance depends on the frequency; hence brief frequency analysis of impedance is done.
URL: http://arxiv.org/abs/0710.3789
Title: Architecture for Pseudo Acausal Evolvable Embedded Systems
Abstract: Advances in semiconductor technology are contributing to the increasing complexity in the design of embedded systems. Architectures with novel techniques such as evolvable nature and autonomous behavior have engrossed lot of attention. This paper demonstrates conceptually evolvable embedded systems can be characterized basing on acausal nature. It is noted that in acausal systems, future input needs to be known, here we make a mechanism such that the system predicts the future inputs and exhibits pseudo acausal nature. An embedded system that uses theoretical framework of acausality is proposed. Our method aims at a novel architecture that features the hardware evolability and autonomous behavior alongside pseudo acausality. Various aspects of this architecture are discussed in detail along with the limitations.
URL: http://arxiv.org/abs/0704.0985
Title: Occurrence of Virtual Entanglement in Nano-CMOS logic
Abstract: Using the theoretical framework of quantum mechanics we predict the possibility of occurrence of virtual entanglement in CMOS logic at nano-dimensions. Quantum mechanical properties such as superposition and entanglement are applied to CMOS logic and analysis is done using Dirac notation. The behavior of the n-type and p-type transistor during the computation phase is described. The parameter considered for analysis is state of the transistor and we obtain its behavior due to superposition and entanglement with other spatially separated transistors
URL: IEEE Xplore http://dx.doi.org/10.1109/TENCON.2006.344154
Title:Novel technique for volatile optical memory using solitons
Abstract: Recent advances in optics have shown that solitons have a great potential for upgrading the future optical systems which demand fast and reliable data transfer. Along side different architectures have evolved to realize an optical computer. Due to difference in processing speeds of optical and electronic devices and usage of opto-electronic converters the efficiency of the optical computers is affected. In this paper we bring a novel technique for volatile optical memory using solitons which would be part of realizing an optical computer. Also the principle of read and write operations in the soliton based volatile memory systems is shown.
URL: IEEE Xplore http://dx.doi.org/10.1109/WOCN.2006.1666671
Abstract: Periodic table of chemical elements symbolizes an elegant graphical representation of symmetry at atomic level and provides an overview on arrangement of electrons. It started merely as tabular representation of chemical elements, later got strengthened with quantum mechanical description of atomic structure and recent studies have revealed that periodic table can be formulated using SO(4,2)* SU(2) group. IUPAC, the governing body in Chemistry, doesn’t approve any periodic table as a standard periodic table. The only specific recommendation provided by IUPAC is that the periodic table should follow the 1 to 18 group numbering. In this technical paper, we describe a new graphical representation of periodic table, referred as ‘Circular form of Periodic table’. The advantages of circular form of periodic table over other representations are discussed along with a brief discussion on history of periodic tables.
URL: http://arxiv.org/abs/0910.0273
Title: Frequency Analysis of Decoupling Capacitors for Three Voltage Supplies in SoC
Abstract: Reduction in power consumption has become a major criterion of design in modern ICs. One such scheme to reduce power consumption by an IC is the use of multiple power supplies for critical and non-critical paths. To maintain the impedance of a power distribution system below a specified level, multiple decoupling capacitors are placed at different levels of power grid hierarchy. This paper describes about three-voltage supply power distribution systems. The noise at one power supply can propagate to the other power supply, causing power and signal integrity problems in the overall system. Effects such as anti-resonance and remedies for these effects are studied. Impedance of the three-voltage supply power distribution system is calculated in terms of RLC-model of decoupling capacitors. Further the obtained impedance depends on the frequency; hence brief frequency analysis of impedance is done.
URL: http://arxiv.org/abs/0710.3789
Title: Architecture for Pseudo Acausal Evolvable Embedded Systems
Abstract: Advances in semiconductor technology are contributing to the increasing complexity in the design of embedded systems. Architectures with novel techniques such as evolvable nature and autonomous behavior have engrossed lot of attention. This paper demonstrates conceptually evolvable embedded systems can be characterized basing on acausal nature. It is noted that in acausal systems, future input needs to be known, here we make a mechanism such that the system predicts the future inputs and exhibits pseudo acausal nature. An embedded system that uses theoretical framework of acausality is proposed. Our method aims at a novel architecture that features the hardware evolability and autonomous behavior alongside pseudo acausality. Various aspects of this architecture are discussed in detail along with the limitations.
URL: http://arxiv.org/abs/0704.0985
Title: Occurrence of Virtual Entanglement in Nano-CMOS logic
Abstract: Using the theoretical framework of quantum mechanics we predict the possibility of occurrence of virtual entanglement in CMOS logic at nano-dimensions. Quantum mechanical properties such as superposition and entanglement are applied to CMOS logic and analysis is done using Dirac notation. The behavior of the n-type and p-type transistor during the computation phase is described. The parameter considered for analysis is state of the transistor and we obtain its behavior due to superposition and entanglement with other spatially separated transistors
URL: IEEE Xplore http://dx.doi.org/10.1109/TENCON.2006.344154
Title:Novel technique for volatile optical memory using solitons
Abstract: Recent advances in optics have shown that solitons have a great potential for upgrading the future optical systems which demand fast and reliable data transfer. Along side different architectures have evolved to realize an optical computer. Due to difference in processing speeds of optical and electronic devices and usage of opto-electronic converters the efficiency of the optical computers is affected. In this paper we bring a novel technique for volatile optical memory using solitons which would be part of realizing an optical computer. Also the principle of read and write operations in the soliton based volatile memory systems is shown.
URL: IEEE Xplore http://dx.doi.org/10.1109/WOCN.2006.1666671
