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generalized algorithm of mathematical modeling of chemical kinetics in quasi-equilibrium and quasi-steady-state approximations

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THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING 2006年第6期40卷 617-625页

作者： Gorskii, V. G. Zeinalov, M. Z. Gadzhibalaeva, Z. M. State Res Inst Organ Chem & Technol Moscow 111024 Russia Dagestan State Univ Makhachkala 367025 Russia

A generalized algorithm for mathematical models of chemical kinetics in quasi-equilibrium and quasi-steady-state approximations is proposed.

关键词： quasi-steady states reaction kinetics generalized algorithm mathematical modeling

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Detection of signals with random initial phase by employment of generalized algorithm

Detection of signals with random initial phase by employment...

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Conference on Signal and Data Processing of Small Targets 1997

作者： Tuzlukov, VP Institute of Engineering Cybernetics Belarusian Academy of Sciences Minsk 220012 Surganova 6 Belarus

ISBN: (纸本)0819425850

Questions of detector synthesis based on the generalized signal processing algorithm for signals with random initial phase are considered. Variance and variance estimation of total noise component at the generalized detector output under the finite time interval [0, T] are determined. Comparative analysis of detection characteristics of the optimal and generalized detectors is carried out. Investigation avenues to stabilization of detection characteristics under employment of the generalised detector independent of signal random parameters based on phase tracking system have been proposed.

关键词： generalized algorithm detector signal noise variance detection parameter probability

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Multicentre two-electron Coulomb and exchange integrals over Slater functions evaluated using a generalized algorithm based on nonlinear transformations

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JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 2004年第10期37卷 3393-3410页

作者： Berlu, L Safouhi, H Univ Alberta Fac St Jean Edmonton AB T6C 4G9 Canada

When calculating molecular electronic energies, the contributions involving the Coulomb operator for bielectronic terms are required rapidly and to high chemically significant accuracy. The atomic orbital basis functions chosen in the present work are Slater-type functions (STFs). These functions can be expressed as finite linear combinations of B functions which are suitable to apply the Fourier-transform method. The difficulties of the numerical evaluation of the analytic expressions of the integrals of interest arise mainly from the presence of two- or three-dimensional integral representations. In this work, we present a generalized algorithm for a precise and fast numerical evaluation of molecular integrals over STFs. Numerical results obtained with C2H2, C2H4 and CH4 molecules show the efficiency of the approach presented in this work. Comparisons with the existing codes are also listed.

关键词： 3-center nuclear attraction Richardson extrapolation process Oscillatory infinite integrals Exponential-type orbitals Reduced bessel-functions Numerical evaluation B-functions One-electron Improving convergence Extremely efficient numerical calculation slater generalized algorithm Integral equations

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A generalized algorithm for duration and convexity of option embedded bonds

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APPLIED ECONOMICS LETTERS 2019年第10期26卷 835-842页

作者： Homaifar, Ghassem A. Michello, Frank A. Middle Tennessee State Univ Finance Murfreesboro TN 37130 USA

This article derives a generalized algorithm for duration and convexity of option embedded bonds that provides a convenient way of estimating the dollar value of 1 basis point change in yield known as DV01, an important metric in the bond market. As delta approaches 1, duration of callable bonds approaches zero once the bond is called. However, when the delta is zero, the short call is worthless and duration of callable will be equal to that of a straight bond. On the other hand, the convexity of a callable bond follows the same behaviour when the delta is 1 as shown in Dunetz and Mahoney (1988) as well as in Mehran and Homaifar's (1993) derivations. However, in the case when delta is zero, the convexity of a callable bond approaches zero as well, which is in stark contrast to the non-zero convexity derived in Dunetz and Mahoney's paper. Our generalized algorithm shows that duration and convexity nearly symmetrically underestimate (overestimate) the actual price change by 11/10 basis points for +/- 100 basis points change in yield. Furthermore, our algorithm reduces to that of MH for convertible bonds assuming the convertible bond is not callable.

关键词： Duration convexity DV01 convertible Callable generalized algorithm option embedded bonds

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A generalized Transformer-Based Pulse Detection algorithm

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ACS SENSORS 2022年第9期7卷 2710-2720页

作者： Dematties, Dario Wen, Chenyu Zhang, Shi-Li Uppsala Univ Dept Elect Engn SE-75103 Uppsala Sweden Northwestern Univ Northwestern Argonne Inst Sci & Engn Evanston IL 60208 USA Math & Comp Sci Div Argonne Natl Lab Lemont IL 60439 USA Wageningen Univ Lab Biophys NanoDynamicsLab NL-6708 WE Wageningen Netherlands Delft Univ Technol Kavli Inst Nanosci Dept Bionanosci NL-2629 HZ Delft Netherlands

Pulse-like signals are ubiquitous in the field of single molecule analysis, e.g., electrical or optical pulses caused by analyte translocations in nanopores. The primary challenge in processing pulse-like signals is to capture the pulses in noisy backgrounds, but current methods are subjectively based on a user-defined threshold for pulse recognition. Here, we propose a generalized machine-learning based method, named pulse detection transformer (PETR), for pulse detection. PETR determines the start and end time points of individual pulses, thereby singling out pulse segments in a time-sequential trace. It is objective without needing to specify any threshold. It provides a generalized interface for downstream algorithms for specific application scenarios. PETR is validated using both simulated and experimental nanopore translocation data. It returns a competitive performance in detecting pulses through assessing them with several standard metrics. Finally, the generalization nature of the PETR output is demonstrated using two representative algorithms for feature extraction.

关键词： spike recognition machine learning artificial neural network transformer nanopore sensing generalized algorithm

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THE STUDY AND APPLICATION OF A generalized DIGITAL-SIMULATION algorithm FOR POWER CONVERTERS - INDUCTION MACHINES SYSTEM

THE STUDY AND APPLICATION OF A GENERALIZED DIGITAL-SIMULATIO...

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TENCON 93 - 1993 IEEE Region 10 Conference on Computer, Communication, Control and Power Engineering

作者： LIN, ZB GAO, JD ZHENG, FS TSING HUA UNIV BEIJINGPEOPLES R CHINA

ISBN: (纸本)780003285X

A generalized digital simulation algorithm is presented for a power converter-induction machine circuit and its control system. With this new method, not only multimachines and multiconverters can be simulated, but also power circuits and control circuits can be evaluated simultaneously. Simulation software is developed on a personal computer. The simulation results of induction machines fed from CSI or VSI both in steady state and transient processes show good agreement with experimental results.

关键词： asynchronous machines power convertors invertors machine control machine theory electric machine analysis computing digital simulation circuit analysis computing microcomputer applications software packages control system analysis computing induction machines power converters digital simulation generalized algorithm control system multimachines multiconverters power circuits control circuits personal computer software CSI VSI steady state process transient process SPEEM

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A generalized reaching law for discrete time sliding mode control

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AUTOMATICA 2015年 52卷 83-86页

作者： Chakrabarty, Sohom Bandyopadhyay, Bijnan Indian Inst Technol IDP Syst & Control Bombay Maharashtra India

The paper presents a generalized algorithm for the reaching and boundedness of the sliding variable in case of discrete time sliding mode control systems. The algorithm is general as it not only comprises functions in the sliding variable, but also functions in other variables, which are known. With the help of the proposed generalized reaching law, an important problem of a reaching law with uncertainty bounded by known functions is studied. The convergence of the sliding variable to an ultimate bounding function in presence of such an uncertainty is shown by the band approach method. This is achieved by appropriately selecting the functions in the proposed generalized reaching law. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Discrete control Sliding mode control generalized algorithm Discrete reaching law Band approach

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A generalized reaching law with different convergence rates

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AUTOMATICA 2016年 63卷 34-37页

作者： Chakrabarty, Sohom Bandyopadhyay, Bijnan Indian Inst Technol IDP Syst & Control Bombay Maharashtra India

Traditionally, the convergence rate of the sliding variable given by a discrete reaching law has been fixed in nature. This paper presents a generalized algorithm for discrete time sliding mode control systems which offers a flexible convergence rate for the sliding variable. For analysis, we use the recently developed band approach method which gives us the values of the parameters in the algorithm for the desired convergence to take place, once the ultimate band is chosen appropriately. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Discrete sliding mode control generalized algorithm Discrete reaching law Band approach Varying convergence rate

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Efficiently and Effectively Mining Time-Constrained Sequential Patterns of Smartphone Application Usage

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MOBILE INFORMATION SYSTEMS 2017年第Pt.1期2017卷 3689309.1-3689309.18页

作者： Hsu, Kuo-Wei Natl Chengchi Univ Dept Comp Sci 64Sec 2Zhi Nan Rd Taipei 11605 Taiwan

Today, we have the freedom to install and use all kinds of applications on smartphones, thanks to the development of mobile communication and computing technologies. Undoubtedly, the system and application developers are eager to know how we use the applications on our smartphones in our daily life and so are the researchers. In this paper, we present our work on developing a pattern mining algorithm and applying it to smartphone application usage log collected from tens of smartphone users for several years. Our goal is to mine the sequential patterns each of which presents a series of application uses and satisfies a constraint on the maximum time interval between two application uses. However, we cannot mine such patterns by general algorithms and will miss some patterns by using the widely used implementation of the advanced algorithm specifically designed for time-constrained sequential pattern mining. We not only present an algorithm that can efficiently and effectively mine the patterns in which we are interested but also discuss and visualize the mined patterns. Our work could potentially support the related studies.

关键词： Sequential mining patterns application developer algorithms Smartphone mining mobile communication generalized algorithm

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A general algorithm for plastic flow simulation by finite element limit analysis

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INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 1999年第8期36卷 1193-1207页

作者： Huh, H Lee, CH Yang, WH Korea Adv Inst Sci & Technol Dept Mech Engn Taejon 305701 South Korea Univ Michigan Dept Mech Engn & Appl Mech Ann Arbor MI 48109 USA

Limit analysis has been rendered versatile in many structural and metal forming problems. In metal forming analysis, the slip-line method and the upper bound method have filled the role of limit analysis. As a breakthrough of the previous work, a computational approach to limit solutions is considered as the most challenging area. In the present work, a general algorithm for limit solutions of plastic flow is developed with the use of finite element limit analysis. The algorithm deals with a generalized Holder inequality, a duality theorem, and combined smoothing and successive approximation in addition to a general procedure for finite element analysis. The algorithm is robust such that from any initial trial solution, the first iteration falls into a convex set which contains the exact solution(s) of the problem. The idea of the algorithm for limit solutions is extended from rigid/perfectly plastic materials to work-hardening materials by the nature of the limit formulation, which is also robust with numerically stable convergence and highly efficient computing time. (C) 1998 Elsevier Science Ltd. All rights reserved.

关键词： Metal working Forming Plastic flow Strain hardening Mathematical models Finite element method Simulation Forming plastic flow duality theorem Metal working upper bounding method Finite element method simulating generalized algorithm Limit analysis work hardening

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