28 results on '"mathematical derivation"'
Search Results
2. Derivation of the Schrödinger equation II: Boltzmann’s entropy
- Author
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Olavo L. da Silva Filho and Marcello Ferreira
- Subjects
Bohmian Mechanics ,Entropy ,Schrödinger equation ,Mathematical derivation ,Teaching of Quantum Mechanics ,Physics ,QC1-999 - Abstract
In a previous paper, we have mathematically derived the Schrödinger equation using the construct of a Characteristic Function. We have shown that this derivation has a great number of consequences and may help to understand what Quantum Mechanics is really about. In this paper, we present another axiomatic mathematical derivation based on the construct of Boltzmann’s entropy. We also show how these two derivations are mathematically connected and obtain, from this, the positive definite phase space probability distribution function. This probability distribution function is shown to be the only one that reproduces the Schrödinger equation and maximizes entropy, while minimizing the energy. Bohmian Mechanics is considered and reinterpreted from the perspective of the mathematical results of the present approach. Some examples are worked out to give teachers interested in using this material in their classrooms some concreteness.
- Published
- 2024
- Full Text
- View/download PDF
3. Derivation of the Schrödinger equation I: the characteristic function
- Author
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Olavo Leopoldino Silva Filho and Marcello Ferreira
- Subjects
Schrödinger equation ,mathematical derivation ,characteristic function ,Physics ,QC1-999 - Abstract
In this paper, we present a mathematical derivation of the Schrödinger equation departing from only two axioms. We also show that, using this formal derivation process, it is possible to directly derive the Schrödinger equation in generalized curvilinear coordinate systems. This derivation is also shown to be equivalent to Feynman’s path integral approach, but goes further, allowing us to mathematically derive the Bohr-Sommerfeld quantization rules. The use of a small parameter, both in the present derivation, where it is δr, and Feynman’s derivation, where it is ϵ = δt, is also clarified in terms of the Central Limit Theorem. Therefore, the article makes a didactic transposition of the topic of quantization, allowing it to be addressed in the context of teaching Quantum Mechanics. The epistemological importance of axiomatic approaches for the mathematical derivation and the interpretation of the symbols of the theory is also considered.
- Published
- 2024
- Full Text
- View/download PDF
4. Adapted Technique for Calibrating Voltage Dividers of AC High-Voltage Measuring Systems.
- Author
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Abdel Mageed, Hala M. and Salah Eldeen, Rehab S.
- Abstract
This paper presents an adapted technique to calibrate the AC voltage divider of AC high-voltage measuring systems up to 200 kV at the Egyptian National Institute of Standards. Two identical capacitors have been used as two similar AC high-voltage capacitive dividers. Firstly, the dividing ratios of two capacitors have been achieved by calibrating each capacitor via a traceable reference standard AC high-voltage divider up to 100 kV. Then, both capacitors have been connected in series to perform as one 200-kV AC voltage divider. They have been calibrated via the same 100-kV reference standard divider to experimentally get their actual dividing ratios up to 100 kV. In order to get their dividing ratios from 100 to 200 kV, a mathematical derivation has been determined. The concept of this derivation is when applying the doubled voltage to two identical pre-calibrated voltage dividers connected in series, their input voltage is almost equally divided across these two dividers. Finally, these calibrated two series capacitors have been used to calibrate a voltage divider of a 200-kV AC HV measuring system. The uncertainty contributions for all the results have been estimated. Enhanced uncertainties have been acquired using this proposed adapted calibration technique. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
5. Doppler compensation method for the complementary phase-coded signal.
- Author
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Li, Wenji, Ren, Lixiang, Mao, Erke, and Fan, Huayu
- Subjects
DOPPLER effect ,RADAR resolution ,AUTOCORRELATION (Statistics) ,MIMO radar ,RADAR signal processing - Abstract
The Doppler sensitivity issue is an urgent problem to be solved for the phase-coded radar although it can give the promise of improved range resolution and resistance against various kinds of distortion. Due to the ideal autocorrelation and cross-correlation properties, the complementary sequence is utilised in high-frequency surface wave radar and MIMO radar. However, the Doppler frequency shift affects the autocorrelation property of the complementary sequence. This study aims to solve this problem. Based on the signal model and mathematical derivation, a new algorithm is proposed and the simulation results indicate the effectiveness of this method. This study also puts forward the signal processing diagram and the method to obtain the new code. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
6. Doppler compensation method for the complementary phase-coded signal
- Author
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Wenji Li, Lixiang Ren, Erke Mao, and Huayu Fan
- Subjects
doppler radar ,correlation methods ,mimo radar ,radar resolution ,phase coding ,compensation ,mathematical analysis ,doppler frequency shift ,complementary sequence ,doppler compensation method ,complementary phase-coded signal ,doppler sensitivity issue ,phase-coded radar ,improved range resolution ,cross-correlation properties ,high-frequency surface wave radar ,autocorrelation properties ,signal processing diagram model ,mathematical derivation ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
The Doppler sensitivity issue is an urgent problem to be solved for the phase-coded radar although it can give the promise of improved range resolution and resistance against various kinds of distortion. Due to the ideal autocorrelation and cross-correlation properties, the complementary sequence is utilised in high-frequency surface wave radar and MIMO radar. However, the Doppler frequency shift affects the autocorrelation property of the complementary sequence. This study aims to solve this problem. Based on the signal model and mathematical derivation, a new algorithm is proposed and the simulation results indicate the effectiveness of this method. This study also puts forward the signal processing diagram and the method to obtain the new code.
- Published
- 2019
- Full Text
- View/download PDF
7. Analysis of the equivalent fault characteristics of DC system and its impact on distance protection based on power-frequency variation
- Author
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Dongxiao Cai, Haifeng Li, and Xinchi Zhu
- Subjects
HVDC power transmission ,power transmission protection ,power transmission faults ,HVDC power convertors ,power system stability ,equivalent fault characteristics ,distance protection ,response characteristics ,high-voltage DC control system ,sending-end AC system ,fault super-imposed network ,equivalent power-frequency variation impedance ,HVDC control system ,fault conditions ,mathematical derivation ,PSCAD ,EMTDC ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
Here, the response characteristics of high-voltage DC (HVDC) control system are studied in the case that fault occurs in the sending-end AC system. Then the characteristics of DC system which is equivalent to power-frequency variation impedance in the fault super-imposed network are analysed by mathematical derivation and verified by simulations on PSCAD/EMTDC. The result shows that the equivalent power-frequency variation impedance of HVDC system is affected by the rated capacity and the parameters of HVDC control system. The power-frequency variation impedance becomes capacitive under certain fault conditions, which reduces the zone of distance protection based on power-frequency variation and even leads to the operation failure.
- Published
- 2019
- Full Text
- View/download PDF
8. Analysis of the equivalent fault characteristics of DC system and its impact on distance protection based on power-frequency variation.
- Author
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Cai, Dongxiao, Li, Haifeng, and Zhu, Xinchi
- Subjects
HIGH-voltage direct current transmission ,ELECTRIC faults ,ELECTRIC impedance ,SIMULATION methods & models ,ELECTRIC immittance - Abstract
Here, the response characteristics of high-voltage DC (HVDC) control system are studied in the case that fault occurs in the sending-end AC system. Then the characteristics of DC system which is equivalent to power-frequency variation impedance in the fault super-imposed network are analysed by mathematical derivation and verified by simulations on PSCAD/EMTDC. The result shows that the equivalent power-frequency variation impedance of HVDC system is affected by the rated capacity and the parameters of HVDC control system. The power-frequency variation impedance becomes capacitive under certain fault conditions, which reduces the zone of distance protection based on power-frequency variation and even leads to the operation failure. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
9. Doppler compensation method for the complementary phase‐coded signal
- Author
-
Lixiang Ren, Huayu Fan, Erke Mao, and Wenji Li
- Subjects
autocorrelation properties ,mathematical derivation ,Computer science ,doppler radar ,radar resolution ,Doppler radar ,Energy Engineering and Power Technology ,02 engineering and technology ,Signal ,mathematical analysis ,phase-coded radar ,law.invention ,compensation ,symbols.namesake ,0203 mechanical engineering ,law ,signal processing diagram model ,Distortion ,doppler sensitivity issue ,Radar ,high-frequency surface wave radar ,cross-correlation properties ,correlation methods ,doppler frequency shift ,020301 aerospace & aeronautics ,Signal processing ,phase coding ,Autocorrelation ,doppler compensation method ,General Engineering ,complementary phase-coded signal ,Complementary sequences ,lcsh:TA1-2040 ,symbols ,mimo radar ,improved range resolution ,lcsh:Engineering (General). Civil engineering (General) ,Doppler effect ,Algorithm ,complementary sequence ,Software - Abstract
The Doppler sensitivity issue is an urgent problem to be solved for the phase-coded radar although it can give the promise of improved range resolution and resistance against various kinds of distortion. Due to the ideal autocorrelation and cross-correlation properties, the complementary sequence is utilised in high-frequency surface wave radar and MIMO radar. However, the Doppler frequency shift affects the autocorrelation property of the complementary sequence. This study aims to solve this problem. Based on the signal model and mathematical derivation, a new algorithm is proposed and the simulation results indicate the effectiveness of this method. This study also puts forward the signal processing diagram and the method to obtain the new code.
- Published
- 2019
10. Analysis of the equivalent fault characteristics of DC system and its impact on distance protection based on power‐frequency variation
- Author
-
Dongxiao Cai, Haifeng Li, and Xinchi Zhu
- Subjects
power transmission protection ,mathematical derivation ,Power frequency ,HVDC control system ,Energy Engineering and Power Technology ,equivalent power-frequency variation impedance ,Fault (power engineering) ,HVDC power convertors ,sending-end AC system ,power system stability ,Control theory ,equivalent fault characteristics ,EMTDC ,high-voltage DC control system ,fault super-imposed network ,PSCAD ,Response characteristics ,General Engineering ,response characteristics ,HVDC power transmission ,fault conditions ,power transmission faults ,Variation (linguistics) ,lcsh:TA1-2040 ,lcsh:Engineering (General). Civil engineering (General) ,distance protection ,Software ,Geology - Abstract
Here, the response characteristics of high-voltage DC (HVDC) control system are studied in the case that fault occurs in the sending-end AC system. Then the characteristics of DC system which is equivalent to power-frequency variation impedance in the fault super-imposed network are analysed by mathematical derivation and verified by simulations on PSCAD/EMTDC. The result shows that the equivalent power-frequency variation impedance of HVDC system is affected by the rated capacity and the parameters of HVDC control system. The power-frequency variation impedance becomes capacitive under certain fault conditions, which reduces the zone of distance protection based on power-frequency variation and even leads to the operation failure.
- Published
- 2018
11. Polarization-Independent Receivers for Low-Cost Coherent OOK Systems.
- Author
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Ciaramella, Ernesto
- Abstract
We demonstrate analytically a novel scheme to obtain polarization-independent operation in low-cost coherent OOK receivers, suitable for access networks. We move from a well-known phase-diversity receiver, exploiting a 3 × 3 coupler, three photodiodes, and basic analogue processing. If that receiver is modified to inject the local oscillator (or the signal) into two inputs with proper polarization states, we show, by both mathematical derivation and numerical simulations, that the resulting electrical signal can be polarization-independent; this is attained only if the frequency-detuning between the signal carrier and the local oscillator is high enough, so that intrinsic second order distortions can be spectrally isolated and suppressed by the low-pass filtering of the receiver. [ABSTRACT FROM PUBLISHER]
- Published
- 2014
- Full Text
- View/download PDF
12. Dual active bridge synchronous chopper control strategy in electronic power transformer.
- Author
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Zhang, Rui, Wang, Dan, Mao, Chengxiong, Lu, Jiming, Yang, Jiawei, Yi, Yang, Chen, Xun, and Zhang, Junfeng
- Abstract
The electronic power transformer (EPT) is a novel transmission and transformation device, which consists of a series connection of two voltage‐source H‐bridge converters and a DC–DC converter with high‐frequency isolation transformer. When applied to microgrids, EPT will not only deliver energy to loads from the utility grid but also inject some amount of excess power into the utility grid. Hence, the capability of bidirectional power flow is important for EPT, which depends on the DC‐link stage. The traditional synchronous chopper control for a dual active bridge (DAB) converter has some limitations in the application of bidirectional power flow area. This study proposes a novel synchronous chopper control strategy for the DAB converter to implement bi‐direction power flow, details the basic principle and steady‐state operation and presents the mathematical derivations. A three‐phase three‐stage circuit configuration of 10 kV/400 V bi‐direction EPT system based on the novel control DAB converter is designed, and corresponding control schemes for the system are discussed. The performance of this EPT system is validated by the MATLAB/Simulink‐based simulations and the laboratory prototype experiments. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
13. Mathematical derivation of a refined four-stream radiative transfer model in row planted crops
- Author
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XU Ma
- Subjects
Radiative transfer equation ,Mathematical derivation ,Row model - Abstract
In the paper i.e., a refined four-stream radiative transfer model for row planted crops, the equations of the results are shown, namely the DRF-related equations. In order to further illustrate our research work, this material provides detailed mathematical physical ideas about the derivation and solution for the modified the four-stream (MFS) radiative transfer equations. The material includes: A) Nomenclature table; B) Derivation of horizontal radiative transfer equation for row crops; C) Area fractions of each component in row crops; D) Solving of the DRFs on the boundary of the canopy closure; E) Solving of the DRF of between-row based on integral raditive transfer equation.
- Published
- 2020
- Full Text
- View/download PDF
14. On the thermoacoustic vibration frequency of a Rijke combustor--mathematical derivation and experimental verification.
- Author
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Zhou Hao, You Hong-yan, Li Guo-neng, and Cen Ke-fa
- Subjects
FREQUENCIES of oscillating systems ,STEEL alloys ,STAINLESS steel ,PRESSURE transducers ,CORROSION resistant materials ,ALLOYS - Abstract
The mathematical derivation and experimental study on thermoacoustic vibration frequency of a Rijke combustor were carried out by adopting the method of Separation of Variables and HP E1432A High-Speed Data Acquisition System. The acoustic vibration frequency formula was derived by Newton's Second Law, Mass Conservation Law and State Equation, and the analytical solution is obtained accordingly. Stainless steel tubes which were closed in one end and open in the other were used in the experimental setup, the porous flame holder made of dense cordierite was installed inside the square place from the bottom of the combustor, over which the premixed methane/air mixture were ignited to form a flat flame, acting as a heat source. Pressure signals along the tube were measured with pressure sensors and HP E1432A, and their corresponding spectrums were obtained by Fast Fourier Transform. The results showed that the analytical solutions of thermoacoustic vibration frequency agree well with the experimental data. [ABSTRACT FROM AUTHOR]
- Published
- 2007
15. An analytical solution to the economic dispatch problem.
- Author
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Madrigal, M. and Quintana, V.H.
- Abstract
This letter treats the basic problem of economic operation of power systems and presents a mathematical derivation that proves that the classic economic dispatch (ED) problem, with quadratic-convex cost functions, can be solved analytically, i.e., without any approximations or need for numerical iterative optimization algorithms. Duality theory is employed to determine both the exact primal and exact dual solutions. All this requires, at most, are 2n function evaluations. It is stated, therefore, that the use of an ED model as an optimization-based electricity auction does not cause any conflict of interest [ABSTRACT FROM PUBLISHER]
- Published
- 2000
- Full Text
- View/download PDF
16. SIR performance evaluation of MB‐OFDM UWB system with residual timing offset.
- Author
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Islam, S.M.R., Ullah, S., Lloret, J., Ullah, N., and Kwak, K.S.
- Abstract
Signal‐to‐interference ratio (SIR) performance of a multiband orthogonal frequency division multiplexing ultra‐wideband system with residual timing offset is investigated. To do so, an exact mathematical derivation of the SIR of this system is derived. It becomes obvious that, unlike a cyclic prefixing based system, a zero padding based system is sensitive to residual timing offset. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
17. Comparison of three interval arithmetic‐based algorithms for antenna array pattern upper bound estimation.
- Author
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He, Guolong, Gao, Xin, Zhou, Hui, and Zhu, Hongquan
- Abstract
This Letter reveals the underlying relations of three state‐of‐the‐art interval arithmetic (IA)‐based algorithms for antenna array pattern upper bound estimation with excitation amplitude errors. Theoretical analysis proves that the matrix IA algorithm has better performance than both the rIA and circular IA algorithms. Mathematical derivations are presented in detail, and representative numerical examples are given for validating this conclusion. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
18. The Operational Basis and Mathematical Derivation of the Gibbs Differential Equation, Which is the Fundamental Equation of Chemical Thermodynamics
- Author
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Tunell, G., Saxena, Surendra K., editor, Newton, R. C., editor, Navrotsky, A., editor, and Wood, B. J., editor
- Published
- 1981
- Full Text
- View/download PDF
19. Scaling and universality in urban economic diversification
- Author
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Youn, Hyejin, Bettencourt, Luis M. A., Lobo, José, Strumsky, Deborah, Samaniego, Horacio, West, Geoffrey B., Youn, Hyejin, Bettencourt, Luis M. A., Lobo, José, Strumsky, Deborah, Samaniego, Horacio, and West, Geoffrey B.
- Abstract
Understanding cities is central to addressing major global challenges from climate change to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is only recently accessible to comprehensive analyses with the availability of large datasets. Here, we study abundances of business categories across US metropolitan statistical areas, and provide a framework for measuring the intrinsic diversity of economic activities that transcends scales of the classification scheme. A universal structure common to all cities is revealed, manifesting self-similarity in internal economic structure as well as aggregated metrics (GDP, patents, crime).We present a simple mathematical derivation of the universality, and provide a model, together with its economic implications of open-ended diversity created by urbanization, for understanding the observed empirical distribution. Given the universal distribution, scaling analyses for individual business categories enable us to determine their relative abundances as a function of city size. These results shed light on the processes of economic differentiation with scale, suggesting a general structure for the growth of national economies as integrated urban systems.
- Published
- 2016
- Full Text
- View/download PDF
20. SIR performance evaluation of MB-OFDM UWB system with residual timing offset
- Author
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Jaime Lloret, Neamat Ullah, S. M. R. Islam, Kyung Sup Kwak, Sana Ullah, and Repositório Científico do Instituto Politécnico do Porto
- Subjects
Engineering ,Offset (computer science) ,Cyclic prefixing based system ,Orthogonal frequency-division multiplexing ,OFDM modulation ,Residual ,Mathematical analysis ,MB-OFDM UWB system ,ELECTRIC interference ,ELECTRONICS ,MULTIPLEXING (Telecommunication) ,Electronic engineering ,Ultra wideband communication ,Electrical and Electronic Engineering ,Computer Science::Information Theory ,INTERFERENCE (Telecommunication) ,Signal-to-interference ratio performance ,business.industry ,Zero padding ,Electrical engineering ,Multiband orthogonal frequency division multiplexing ultrawideband system ,INGENIERIA TELEMATICA ,Zero padding based system ,SIR performance evaluation ,BROADBAND communication systems ,Mathematical derivation ,DATA transmission systems ,Residual timing offset ,Radiofrequency interference ,business - Abstract
Signal-to-interference ratio (SIR) performance of a multiband orthogonal frequency division multiplexing ultra-wideband system with residual timing offset is investigated. To do so, an exact mathematical derivation of the SIR of this system is derived. It becomes obvious that, unlike a cyclic prefixing based system, a zero padding based system is sensitive to residual timing offset., This work was supported by the National Research Foundation of Korea (NRF) grant, funded by the Korean government (MSIP) no. 2010-0018116.
- Published
- 2015
21. SIR performance evaluation of MB-OFDM UWB system with residual timing offset
- Author
-
Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions, Universitat Politècnica de València. Instituto de Investigación para la Gestión Integral de Zonas Costeras - Institut d'Investigació per a la Gestió Integral de Zones Costaneres, National Research Foundation of Korea, Islam, S. M. R., Ullah, S., Lloret, Jaime, Ullah, N., Kwak, K. S., Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions, Universitat Politècnica de València. Instituto de Investigación para la Gestión Integral de Zonas Costeras - Institut d'Investigació per a la Gestió Integral de Zones Costaneres, National Research Foundation of Korea, Islam, S. M. R., Ullah, S., Lloret, Jaime, Ullah, N., and Kwak, K. S.
- Abstract
Signal-to-interference ratio (SIR) performance of a multiband orthogonal frequency division multiplexing ultra-wideband system with residual timing offset is investigated. To do so, an exact mathematical derivation of the SIR of this system is derived. It becomes obvious that, unlike a cyclic prefixing based system, a zero padding based system is sensitive to residual timing offset.
- Published
- 2015
22. Non-data-aided SNR estimation for QPSK modulation in AWGN channel
- Author
-
Amr Mohamed, Ahmed Badawy, Tara Salman, Tamer Khattab, and Tarek Elfouly
- Subjects
Pilot signal ,Signal Processing (eess.SP) ,Mean squared error ,Computer science ,Computer Networks and Communications ,Errors ,Signal receivers ,Communications system ,Signal-to-Noise Ration Estimation ,Signal ,symbols.namesake ,Mean Square Error ,Signal-to-noise ration estimations ,FOS: Electrical engineering, electronic engineering, information engineering ,Ratio estimations ,Signal to noise ratio estimation ,Electrical Engineering and Systems Science - Signal Processing ,Fourth moment ,Computer Science::Information Theory ,Mobile computing ,Signal to noise ratio ,Quadrature phase shift keying ,Mean square error ,Estimation methods ,Non data aided estimations (NDA) ,Normalized mean square error ,Original algorithms ,Signal-to-Variation Ratio Estimation ,Hardware and Architecture ,Software ,Additive white Gaussian noise ,Mathematical derivation ,symbols ,Algorithm ,Estimation ,Communication channel ,Phase-shift keying - Abstract
Signal-to-noise ratio (SNR) estimation is an important parameter that is required in any receiver or communication systems. It can be computed either by a pilot signal data-aided approach in which the transmitted signal would be known to the receiver, or without any knowledge of the transmitted signal, which is a non-data-aided (NDA) estimation approach. In this paper, a NDA SNR estimation algorithm for QPSK signal is proposed. The proposed algorithm modifies the existing Signal- to-Variation Ratio (SVR) SNR estimation algorithm in the aim to reduce its bias and mean square error in case of negative SNR values at low number of samples of it. We first present the existing SVR algorithm and then show the mathematical derivation of the new NDA algorithm. In addition, we compare our algorithm to two baselines estimation methods, namely the M2M4 and SVR algorithms, using different test cases. Those test cases include low SNR values, extremely high SNR values and low number of samples. Results showed that our algorithm had a better performance compared to second and fourth moment estimation (M2M4) and original SVR algorithms in terms of normalized mean square error (NMSE) and bias estimation while keeping almost the same complexity as the original algorithms, 2014 IEEE 10th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob)
- Published
- 2014
23. Derivation and new analysis of a hydrodynamic model of speed skate ice friction
- Author
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Lozowski, E.P. and Szilder, K.
- Subjects
mathematical derivation ,friction ,mutatis-mutandis ,ice ,recreational facilities ,fluid dynamics ,theoretical study ,hydrodynamic friction ,thermohydrodynamics ,lubrication equation ,models ,thermodynamics ,physical variables ,sensitivity analysis ,hydrodynamics ,tribology ,hydrodynamic model ,measurement method ,theory ,numerical model ,physics - Abstract
This paper presents the mathematical derivation of a new model of speed skate ice friction. The model acronym is FAST, which stands for friction algorithm using speed skate thermohydrodynamics. Mutatis mutandis, it is applicable to other ice friction problems in the hydrodynamic friction regime. This paper updates and corrects an earlier publication of the model that omitted the full derivation of the lubrication equation (Penny et al., 2007). It also updates the ice hardness equation based on new measurements, and it presents a more thorough exploration of the model results and its sensitivity to the variation of physical variables. © by The International Society of Offshore and Polar Engineers.
- Published
- 2013
24. Bias circuit design for POSFET based tactile sensing devices
- Author
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Maurizio Valle and Arun Kumar Sinha
- Subjects
Engineering ,Circuit arrangement ,Circuit design ,Bias circuits, Bias resistance, Circuit arrangement, Floating gates, Mathematical derivation, Mathematical formulation, MOS, Oxide semiconductor, PMOS devices, POSFET, Simulation result, Tactile sensing, Weak inversions ,Electric network analysis, Field effect semiconductor devices, Field effect transistors, Microelectronics, Sensors ,Integrated circuit manufacture ,Hardware_PERFORMANCEANDRELIABILITY ,Floating gates ,Field effect transistors ,PMOS logic ,POSFET ,Microelectronics ,Mathematical formulation ,MOSFET ,Hardware_INTEGRATEDCIRCUITS ,Electronic engineering ,Tactile sensing ,Bias circuits ,Sensors ,business.industry ,Field effect semiconductor devices ,Bandwidth (signal processing) ,Electrical engineering ,Biasing ,MOS ,Weak inversions ,Piezoelectricity ,Bias resistance ,Mathematical derivation ,Oxide semiconductor ,Simulation result ,Field-effect transistor ,business ,Electric network analysis ,Tactile sensor ,PMOS devices ,Hardware_LOGICDESIGN - Abstract
This paper presents the bias circuit design for realizing the high value resistance at the floating gate of Piezoelectric Oxide Semiconductor Field Effect Transistor (POSFET). The application of POSFET has been reported in papers for tactile sensing. High value resistance has been achieved through well to drain connected PMOS device working in weak inversion. The mathematical formulations of the devices were based on the concept of EKV equations. Mathematical derivation and analysis was made to calculate the value of resistance, and then bias voltage and bias current for the proposed circuit. Simulation results show that the proposed circuit arrangement is able to realize the high value resistance.
- Published
- 2011
25. FAST 2.0 derivation and new analysis of a hydrodynamic model of speed skate ice friction
- Author
-
Lozowski, E.P. and Szilder, K.
- Subjects
mathematical derivation ,ice problems ,ice friction ,new model ,friction ,mutatis-mutandis ,recreational facilities ,ice ,hydrodynamic friction ,thermohydrodynamics ,lubrication equation ,physical variables ,sensitivity analysis ,hydrodynamics ,tribology ,model results ,hydrodynamic model ,theory - Abstract
This paper presents the mathematical derivation of a new model of speed skate ice friction. The model acronym is FAST, which stands for Friction Algorithm using Speed Skate Thermohydrodynamics. Mutatis mutandis, it is applicable to other ice friction problems in the hydrodynamic friction regime. The paper updates and corrects an earlier publication of the model (FAST 1.0) that omitted the full derivation of the lubrication equation. It also presents a more thorough exploration of the model results and its sensitivity to the variation of physical variables. Copyright © 2011 by the International Society of Offshore and Polar Engineers (ISOPE)., 21st International Offshore and Polar Engineering Conference, ISOPE-2011, 19 June 2011 through 24 June 2011, Maui, HI, Series: Proceedings of the International Offshore and Polar Engineering Conference
- Published
- 2011
26. A new way to present the important but difficult topic of statistical mechanics to engineers
- Author
-
Pelegri, M, Kardomateas, G, Dartnall, John, Reizes, John, Pelegri, M, Kardomateas, G, Dartnall, John, and Reizes, John
- Abstract
As a subject in an engineering course, Engineering Thermodynamics has earned a reputation for being difficult to understand. Quite often students practice many problems until they can do the assigned tasks, but they still feel mystified by concepts such as entropy. Even though we may use them competently, energy, enthalpy and temperature are not necessarily well understood at a concept level. Statistical Mechanics provides an excellent way of understanding the concepts more fundamentally but the traditional mathematical derivations in Statistical Mechanics require considerable time and effort before a learner gains the comfort of familiarity. Various approaches using spread-sheets to construct combinatorial illustrative examples have been published. An approach based on molecular dynamic simulation is presented in this paper, in which comparisons between actual outcomes of simulations based solely on Newtonian mechanics are compared with the probability based models. Accordingly, this approach allows explanations which meet the objective of demystifying some of the concepts that have hitherto been the bane of undergraduate thermodynamics. Copyright © 2013 by ASME.
- Published
- 2013
27. Fractional diffusion limit for collisional kinetic equations
- Author
-
Antoine Mellet, Stéphane Mischler, Clément Mouhot, Apollo - University of Cambridge Repository, Department of Mathematics, University of Maryland, CEntre de REcherches en MAthématiques de la DEcision (CEREMADE), Centre National de la Recherche Scientifique (CNRS)-Université Paris Dauphine-PSL, and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)
- Subjects
mathematical derivation ,Diffusion equation ,Distribution (number theory) ,Scale (ratio) ,Mean free path ,diffusion limit ,01 natural sciences ,symbols.namesake ,Mathematics - Analysis of PDEs ,Mathematics (miscellaneous) ,anomalous heat transport ,Fractional diffusion ,FOS: Mathematics ,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] ,Limit (mathematics) ,Statistical physics ,fractional heat equation ,0101 mathematics ,Diffusion (business) ,math.AP ,Physics ,anomalous diffusion limit ,Mechanical Engineering ,fractional diffusion ,010102 general mathematics ,linear BGK equation ,010101 applied mathematics ,anomalous diffusive time scale ,relaxation equation ,76P05, 26A33 ,Boltzmann constant ,symbols ,linear Boltzmann equation ,Analysis ,Analysis of PDEs (math.AP) - Abstract
To appear in Archive for Rational Mechanics and Analysis; International audience; This paper is devoted to diffusion limits of linear Boltzmann equations. When the equilibrium distribution function is Maxwellian distribution, it is well known that for an appropriate time scale, the small mean free path limit gives rise to a diffusion equation. In this paper, we consider situations in which the equilibrium distribution function is a heavy-tailed distribution with infinite variance. We then show that for an appropriate time scale, the small mean free path limit gives rise to a fractional diffusion equation.
- Published
- 2008
- Full Text
- View/download PDF
28. Thermal Studies on Transition Metal Complexes Containing Pie-Donor Ligands
- Author
-
Lahiri, Snidha
- Subjects
Chromium ,Mathematical Derivation ,Derivatograms ,Thermal stabilities ,Thermal Treatment ,Culthalpy ,Metal Complex ,Chelate Ring ,Paramoters - Published
- 1980
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