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  1. 41

    Several Different Types of Convergence for ND Random Variables under Sublinear Expectations by Ziwei Liang, Qunying Wu

    Published 2021-01-01
    “…By using the basic definition of sublinear expectation space, Markov inequality, and Cr inequality, we extend average convergence and almost sure convergence theorems for ND sequences of random variables under sublinear expectation space, and we provide a way to learn this subject.…”
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  2. 42

    Local transformations with a singular wavelet by V. M. Romanchak

    Published 2020-03-01
    “…Traditionally believed that the wavelet should have an average equal to zero. Earlier, the author considered  singular wavelets when the average value is not equal to zero. …”
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  3. 43

    Learning Quantum States and Unitaries of Bounded Gate Complexity by Haimeng Zhao, Laura Lewis, Ishaan Kannan, Yihui Quek, Hsin-Yuan Huang, Matthias C. Caro

    Published 2024-10-01
    “…We also prove that the optimal query complexity to learn a unitary generated by G gates to a small average-case error scales linearly in G. While sample-efficient learning can be achieved, we show that under reasonable cryptographic conjectures, the computational complexity for learning states and unitaries of gate complexity G must scale exponentially in G. …”
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  4. 44

    A reward self-bias leads to more optimal foraging for ourselves than others by Luis Sebastian Contreras-Huerta, M. Andrea Pisauro, Svenja Küchenhoff, Arno Gekiere, Campbell Le Heron, Patricia L. Lockwood, Matthew A. J. Apps

    Published 2024-11-01
    “…However, existing work has ignored one of the most powerful theorems from behavioural ecology of how animals seek resources in everyday life, the Marginal Value Theorem (MVT), which accounts for optimal behaviour for maximising resources intake rate. …”
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  5. 45

    A geometric neural solving method based on a diagram text information fusion analysis by Bin Ma, Pengpeng Jian, Cong Pan, Yanli Wang, Wei Ma

    Published 2024-12-01
    “…This involves combining the knowledge of mathematical theorems, generating a solution sequence, and executing to obtain the answer. …”
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  6. 46

    Multi-criteria group decision-making using ambiguous sets, Weibull distribution, and aggregation operators: A case study in optimal vendor selection for office supplies by Pritpal Singh, T.W. Liao

    Published 2025-12-01
    “…This study discusses various definitions and theorems for the AWMO. The advantages of the AWMO lie in its ability to effectively handle decision-making scenarios characterized by ambiguity. …”
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  7. 47

    Coverage optimization of wireless sensor network utilizing an improved CS with multi-strategies by Sen-Yu Yang, Chang-Feng Chen, Kai-Qing Zhou, Yun Ou

    Published 2025-08-01
    “…At 200 iterations, it achieves an average coverage increase of 2.32-22.17% for 20-node deployments and 2.75-22.21% for 30-node deployments. …”
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  8. 48

    Periodicity in distribution. I. Discrete systems by A. Ya. Dorogovtsev

    Published 2002-01-01
    “…Examples are considered, and references to applications are given in remarks to appropriate theorems.…”
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  9. 49

    Complex analysis of a finance system and generalized synchronization for n-dimension by Muhammad Fiaz

    Published 2025-03-01
    “…With the help of this study, we developed generalized theorems for synchronization of n-dimension dynamical systems for integer and fractional versions. …”
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  10. 50

    Engineering Circuit Analysis / by Hayt, William H. (William Hart), Jr., 1920-1999

    Published 2012
    Table of Contents: “…Mesh Analysis: A Comparison -- 4.6.Computer-Aided Circuit Analysis -- Summary And Review -- Reading Further -- Exercises -- ch. 5 Handy Circuit Analysis Techniques -- 5.1.Linearity and Superposition -- 5.2.Source Transformations -- 5.3.Thevenin and Norton Equivalent Circuits -- 5.4.Maximum Power Transfer -- 5.5.Delta-Wye Conversion -- 5.6.Selecting an Approach: A Summary of Various Techniques -- Summary And Review -- Reading Further -- Exercises -- ch. 6 The Operational Amplifier -- 6.1.Background -- 6.2.The Ideal Op Amp: A Cordial Introduction -- 6.3.Cascaded Stages -- 6.4.Circuits for Voltage and Current Sources -- 6.5.Practical Considerations -- 6.6.Comparators and the Instrumentation Amplifier -- Summary And Review -- Reading Further -- Exercises -- ch. 7 Capacitors And Inductors -- 7.1.The Capacitor -- 7.2.The Inductor -- 7.3.Inductance and Capacitance Combinations -- 7.4.Consequences of Linearity -- 7.5.Simple Op Amp Circuits with Capacitors -- 7.6.Duality -- 7.7.Modeling Capacitors and Inductors with PSpice -- Summary And Review -- Reading Further -- Exercises -- ch. 8 Basic Rl And Rc Circuits -- 8.1.The Source-Free RL Circuit -- 8.2.Properties of the Exponential Response -- 8.3.The Source-Free RC Circuit -- 8.4.A More General Perspective -- 8.5.The Unit-Step Function -- 8.6.Driven RL Circuits -- 8.7.Natural and Forced Response -- 8.8.Driven AC Circuits -- 8.9.Predicting the Response of Sequentially Switched Circuits -- Summary And Review -- Reading Further -- Exercises -- ch. 9 The Rcl Circuit -- 9.1.The Source-Free Parallel Circuit -- 9.2.The Overdamped Parallel RLC Circuit -- 9.3.Critical Damping -- 9.4.The Underdamped Parallel RLC Circuit -- 9.5.The Source-Free Series RLC Circuit -- 9.6.The Complete Response of the RLC Circuit -- 9.7.The Lossless LC Circuit -- Summary And Review -- Reading Further -- Exercises -- ch. 10 Sinusoidal Steady-State Analysis -- 10.1.Characteristics of Sinusoids -- 10.2.Forced Response to Sinusoidal Functions -- 10.3.The Complex Forcing Function -- 10.4.The Phasor -- 10.5.Impedance and Admittance -- 10.6.Nodal and Mesh Analysis -- 10.7.Superposition, Source Transformations and Thevenin's Theorem -- 10.8.Phasor Diagrams -- Summary And Review -- Reading Further -- Exercises -- ch. 11 Ac Circuit Power Analysis -- 11.1.Instantaneous Power -- 11.2.Average Power -- 11.3.Effective Values of Current and Voltage -- 11.4.Apparent Power and Power Factor -- 11.5.Complex Power -- Summary And Review -- Reading Further -- Exercises -- ch. 12 Polyphase Circuits -- 12.1.Polyphase Systems -- 12.2.Single-Phase Three-Wire Systems -- 12.3.Three-Phase Y-Y Connection -- 12.4.The Delta (A) Connection -- 12.5.Power Measurement in Three-Phase Systems -- Summary And Review -- Reading Further -- Exercises -- ch. 13 Magnetically Coupled Circuits -- 13.1.Mutual Inductance -- 13.2.Energy Considerations -- 13.3.The Linear Transformer -- 13.4.The Ideal Transformer -- Summary And Review -- Reading Further -- Exercises -- ch. 14 Complex Frequency And The Laplace Transform -- 14.1.Complex Frequency -- 14.2.The Damped Sinusoidal Forcing Function -- 14.3.Definition of the Laplace Transform -- 14.4.Laplace Transforms of Simple Time Functions -- 14.5.Inverse Transform Techniques -- 14.6.Basic Theorems for the Laplace Transform -- 14.7.The Initial-Value and Final-Value Theorems -- Summary And Review -- Reading Further -- Exercises -- ch. 15 Circuit Analysis In The s-Domain -- 15.1.Z(s) and Y(s) -- 15.2.Nodal and Mesh Analysis in the s-Domain -- 15.3.Additional Circuit Analysis Techniques -- 15.4.Poles, Zeros, and Transfer Functions -- 15.5.Convolution -- 15.6.The Complex-Frequency Plane -- 15.7.Natural Response and the s Plane -- 15.8.A Technique for Synthesizing the Voltage Ratio H(s) = V out/V in -- Summary And Review -- Reading Further -- Exercises -- ch. 16 Frequency Response -- 16.1.Parallel Resonance -- 16.2.Bandwidth and High-Q Circuits -- 16.3.Series Resonance -- 16.4.Other Resonant Forms -- 16.5.Scaling -- 16.6.Bode Diagrams -- 16.7.Basic Filter Design -- 16.8.Advanced Filter Design -- Summary And Review -- Reading Further -- Exercises -- ch. 17 Two-Port Networks -- 17.1.One-Port Networks -- 17.2.Admittance Parameters -- 17.3.Some Equivalent Networks -- 17.4.Impedance Parameters -- 17.5.Hybrid Parameters -- 17.6.Transmission Parameters -- Summary And Review -- Reading Further -- Exercises -- ch. 18 Fourier Circuit Analysis -- 18.1.Trigonometric Form of the Fourier Series -- 18.2.The Use of Symmetry -- 18.3.Complete Response to Periodic Forcing Functions -- 18.4.Complex Form of the Fourier Series -- 18.5.Definition of the Fourier Transform -- 18.6.Some Properties of the Fourier Transform -- 18.7.Fourier Transform Pairs for Some Simple Time Functions -- 18.8.The Fourier Transform of a General Periodic Time Function -- 18.9.The System Function and Response in the Frequency Domain -- 18.10.The Physical Significance of the System Function -- Summary And Review -- Reading Further -- Exercises.…”
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  11. 51

    Increasing exposure of cotton growing areas to compound drought and heat events in a warming climate by Shengli Liu, Wei Zhang, Tongtong Shi, Tong Li, Hui Li, Guanyin Zhou, Zhanbiao Wang, Xiongfeng Ma

    Published 2025-03-01
    “…To address this gap, we analyzed changes in mean temperature and soil moisture within global cotton-growing areas during their respective growing seasons, estimated the probability of CDHEs across multiple spatial scales via copula theorems, and examined the relationship between cotton yield anomalies and CDHEs in major cotton countries. …”
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  12. 52

    Assessment of air purifiers for improving the air quality index using circular intuitionistic fuzzy Heronian means by Fengyu Guo, Raiha Imran, Shi Yin, Kifayat Ullah, Maria Akram, Dragan Pamucar, Mustafa Elashiry

    Published 2025-04-01
    “…So, considering this, the Heronian mean (HM) operator and its special cases such as averaging and geometric operators have been used in this paper. …”
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  13. 53

    Reduction of Energy Consumption in Mobile Cloud Computing by ‎Classification of Demands and Executing in Different Data Centers by H. Yeganeh, A. Salahi, M. A Pourmina

    Published 2018-06-01
    “…We derived a penalty function for cost and then by using Lyapunov optimization theorem; we designed an algorithm to minimize the average cost of energy consumption based on the online information in MCC. …”
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  14. 54

    Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces by Miodrag Mateljević

    Published 2014-01-01
    “…We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n-dimensional space. …”
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  15. 55

    Theoretical Results on the pth Moment of <i>ϕ</i>-Hilfer Stochastic Fractional Differential Equations with a Pantograph Term by Abdelhamid Mohammed Djaouti, Muhammad Imran Liaqat

    Published 2025-02-01
    “…Additionally, we prove the smoothness theorem for the solution and present the averaging principle result. …”
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  16. 56

    A Review on Risk and Reliability Analysis in Photovoltaic Power Generation by Ahmad Zaki Abdul Karim, Mohamad Shaiful Osman, Mohd. Khairil Rahmat

    Published 2025-07-01
    “…Currently, reliability assessment techniques such as mean time between failures (MTBF), system average interruption frequency index (SAIFI), and system average interruption duration index (SAIDI) are commonly used to predict PVPS performance. …”
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  17. 57

    The effect of different mission profiles and ambient temperature on the lifetime of boost converter IGBT with a robust controller in a hybrid electric vehicle by Majid Salim, Omid Safarzadeh

    Published 2024-12-01
    “…Stability of converter is achieved during simulation by identifying simple proportional integral controller coefficients with Kharitonov's theorem. A prototype 230 W boost converter is designed and utilized to validate average model and switch loss calculation relationships. …”
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  18. 58

    Mathematical Model of COVID-19 with Imperfect Vaccine and Virus Mutation by Ceren Gürbüz Can, Sebaheddin Şevgin

    Published 2025-06-01
    “…Using the Castillo-Chavez and Song Bifurcation Theorem, we demonstrate the existence of a backward bifurcation that occurs when the vaccine is not effective enough, leading to the simultaneous existence of both disease-free and endemic equilibrium points, even when the basic reproduction number is below 1. …”
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  19. 59

    Asset management using genetic algorithm: Evidence from Tehran Stock Exchange by Abbas Sarijaloo, Aliakbar Moradbakloo

    Published 2014-02-01
    “…This paper presents an empirical investigation to study the effect of market management using Markowitz theorem. The study uses the information of 50 best performers on Tehran Stock Exchange over the period 2006-2009 and, using Markowitz theorem, the efficient asset allocation are determined and the result are analyzed. …”
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  20. 60

    Nonlinear Gossip Algorithms for Wireless Sensor Networks by Chao Shi, Yuanshi Zheng, Hongbing Qiu, Junyi Wang

    Published 2014-01-01
    “…By using Lyapunov theory, Lagrange mean value theorem, and stochastic Lasalle’s invariance principle, we prove that the nonlinear single gossip algorithms can converge to the average of initial states with probability one. …”
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