The Experts below are selected from a list of 252 Experts worldwide ranked by ideXlab platform
W. Luo - One of the best experts on this subject based on the ideXlab platform.
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A comment on "Transient analysis of energy equation of dynamic Systems"
IEEE Transactions on Education, 2005Co-Authors: W. LuoAbstract:In a previously published paper, Vibet presented a very useful equation that involves the product of the impulse Function and the Unit Step Function. In this short paper, a new and very simple proof of this equation with clear interpretation is given. In addition, a proof of the corresponding generalized equation is also provided. Students commonly report that the method proposed in this paper improves their understanding of the theorem and helps them achieve a better insight of the problem.
Molina Franck - One of the best experts on this subject based on the ideXlab platform.
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Biochemical Threshold Function Implementation with Zero-Order Ultrasensitivity
IEEE, 2019Co-Authors: Huang Wei-chih, Jiang Jie-hong, Fages François, Molina FranckAbstract:International audienceEngineering biochemical reactions is a key task in synthetic biology to enable biomedical and other applications. The biochemical threshold Function is a crucial component in the biosensor circuits to be deployed in living cells or synthetic vesicles for disease diagnosis. In this work, based on the zero-order ultrasensitivity, we propose an economic biochemical implementation of threshold Functions with reconfigurable threshold values. We show that the so-constructed threshold Function module well approximates the Unit Step Function and allows robust composition with other Function modules for complex computation tasks
A.s. Inan - One of the best experts on this subject based on the ideXlab platform.
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calculating the per Unit length circuit parameters of a coaxial transmission line using singularity Functions
IEEE Antennas and Propagation Society International Symposium, 2004Co-Authors: A.s. Inan, Peter M. OsterbergAbstract:We apply a new analytical technique involving singularity Functions to calculate the per-Unit-length capacitance and inductance of a coaxial transmission line. With this technique, the force on each conductor of the coaxial line can be directly calculated by incorporating the sifting integral of the Unit Step Function which is equal to 1/2. The per-Unit-length parameters are extracted from the total stored energy in the coaxial line by varying the radius of one of the conductors and integrating the force expression on the conductor surface over the appropriate range of this radius.
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Calculating electromagnetic force and energy using singularity Functions
IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313), 2002Co-Authors: A.s. Inan, Peter M. OsterbergAbstract:The purpose of this article is to provide physical insight into a new analytical approach to calculate electromagnetic force and energy using singularity Functions, specifically the Unit impulse Function and its integral, the Unit Step Function. The electromagnetic force acting on a charged conductor is expressed in terms of a special singularity integral which is the sifting integral of the Unit Step Function. The well-known parallel-plate capacitor problem in electrostatics is considered as an example to demonstrate the validity and use of this special integral. The authors believe that this technique can easily be extended to problems involving high-frequency microwave systems such as waveguides and resonant cavities.
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Special singularity integral identity and its applications in electrical circuits
Electronics Letters, 1999Co-Authors: Peter M. Osterberg, A.s. InanAbstract:A new special singularity integral identity involving the product of the impulse symbol and the Unit Step Function is proposed. A proof of this integral identity is provided followed by its application in the solution of a simple well-known ideal example problem in electrical circuits.
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A special "missing" singularity integral and its applications in electromagnetic education
IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC URSI National Radio Science Meeting (Cat. N, 1Co-Authors: A.s. Inan, P.m. OstrbergAbstract:A special singularity integral equation involving the product of the Unit impulse Function and the Unit Step Function is presented. Two separate proofs of this integral identity are provided. The importance and application of this integral identity in electromagnetics education is demonstrated by a well-known simple example. It is the authors' belief that this integral and its useful application are completely "missing" in the electromagnetic educational literature.
P. A. Gulhane - One of the best experts on this subject based on the ideXlab platform.
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Properties of Heaviside’s Unit Step Function Based on Laplace – Stieltjes Transform
Scientific Reviews and Chemical Communications, 2017Co-Authors: N. M. Sharma, P. A. GulhaneAbstract:Laplace-Stieltjes transform is one of the flourishing field of active research due to its wide range of applications. Purpose of this paper is to prove some properties of Unit Step Function with the help of Laplace - Stieltjes transform. It seldom matters what value is used for U (0), since U is mostly used as a distribution. Some common choices are the Function is used in the mathematics of control theory and signal processing to represent a signal that switches on at a specified time and stays switched on indefinitely. It is also used in structural mechanics together with the Dirac Delta Function to describe different types of structural loads.
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properties of heaviside s Unit Step Function based on laplace stieltjes transform
Scientific Reviews and Chemical Communications, 2012Co-Authors: N. M. Sharma, P. A. GulhaneAbstract:Laplace-Stieltjes transform is one of the flourishing field of active research due to its wide range of applications. Purpose of this paper is to prove some properties of Unit Step Function with the help of Laplace - Stieltjes transform. It seldom matters what value is used for U (0), since U is mostly used as a distribution. Some common choices are the Function is used in the mathematics of control theory and signal processing to represent a signal that switches on at a specified time and stays switched on indefinitely. It is also used in structural mechanics together with the Dirac Delta Function to describe different types of structural loads.
Peter M. Osterberg - One of the best experts on this subject based on the ideXlab platform.
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calculating the per Unit length circuit parameters of a coaxial transmission line using singularity Functions
IEEE Antennas and Propagation Society International Symposium, 2004Co-Authors: A.s. Inan, Peter M. OsterbergAbstract:We apply a new analytical technique involving singularity Functions to calculate the per-Unit-length capacitance and inductance of a coaxial transmission line. With this technique, the force on each conductor of the coaxial line can be directly calculated by incorporating the sifting integral of the Unit Step Function which is equal to 1/2. The per-Unit-length parameters are extracted from the total stored energy in the coaxial line by varying the radius of one of the conductors and integrating the force expression on the conductor surface over the appropriate range of this radius.
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Calculating electromagnetic force and energy using singularity Functions
IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313), 2002Co-Authors: A.s. Inan, Peter M. OsterbergAbstract:The purpose of this article is to provide physical insight into a new analytical approach to calculate electromagnetic force and energy using singularity Functions, specifically the Unit impulse Function and its integral, the Unit Step Function. The electromagnetic force acting on a charged conductor is expressed in terms of a special singularity integral which is the sifting integral of the Unit Step Function. The well-known parallel-plate capacitor problem in electrostatics is considered as an example to demonstrate the validity and use of this special integral. The authors believe that this technique can easily be extended to problems involving high-frequency microwave systems such as waveguides and resonant cavities.
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Special singularity integral identity and its applications in electrical circuits
Electronics Letters, 1999Co-Authors: Peter M. Osterberg, A.s. InanAbstract:A new special singularity integral identity involving the product of the impulse symbol and the Unit Step Function is proposed. A proof of this integral identity is provided followed by its application in the solution of a simple well-known ideal example problem in electrical circuits.
