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170213s2017 sz ob 000 0 eng d |
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|z 9783319452487
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|a 10.1007/978-3-319-45249-4
|2 doi
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|a N$T
|b eng
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|a 515/.83
|2 23
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1 |
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|a Gil'mutdinov, Anis Kharisovich,
|e author,
|e editor.
|9 42569
|
| 245 |
1 |
0 |
|a Fractal elements and their applications /
|c Anis Kharisovich Gil'mutdinov, Pyotr Arkhipovich Ushakov, Reyad El-Khazali ; ed. by A. Kh. Gil'mutdinov.
|
| 260 |
|
|
|b Springer,
|c 2017.
|
| 300 |
|
|
|a xviii, 252 str. :
|b graf. prikazi ;
|c 24 cm
|
| 490 |
1 |
|
|a Analog circuits and signal processing
|
| 504 |
|
|
|a Includes bibliographical references.
|
| 505 |
0 |
|
|a Foreword; Contents; Abbreviations; Chapter 1: Modeling of Fractal Elements and Processes; 1.1 Concept of Fractals, Self-Similarity, and Scaling; 1.2 Dimension Types; 1.3 Regular Fractals; 1.4 Irregular Random Fractals; 1.5 Multifractals; 1.6 Fractal Signals; 1.7 Physical Meaning of Hurst Parameter; 1.8 Relation Between Fractality and Spectrum Response; 1.9 Examples of Signal Analysis; Chapter 2: Fractal Calculus Fundamentals; 2.1 Preliminaries; 2.2 Properties of Fractional-Order Integrals and Derivatives; 2.2.1 Riemann-Liouville Fractional-Order Integral and Derivative.
|
| 505 |
8 |
|
|a 2.2.2 Grunwald-Letnikov Fractional-Order Derivative and Integral2.2.3 Properties of Fractional-Order Derivatives; 2.3 Laplace Transform of Fractional-Order Operators; 2.3.1 Fundamentals of Laplace Transform; 2.3.2 Laplace Transform of Fractional-Order Integrals; 2.3.3 Laplace Transform of Fractional-Order Derivatives; 2.4 Fourier Transform of Fractional-Order Operators; 2.4.1 Fundamentals of Fourier Transform; 2.4.2 Fourier Transform of Fractional-Order Integrals; 2.4.3 Fourier Transform of Fractional-Order Derivatives; 2.5 Dynamics of Fractional-Order Transfer Functions.
|
| 505 |
8 |
|
|a 2.5.1 Fractional-Order Transfer Functions2.5.2 Mittag-Leffler Function; 2.5.3 Solving Fractional-Order Differential Equation (FoDEQ) Using Laplace Transform; 2.6 Fractional-Order Electrical and Electronic Systems; 2.6.1 Semi-infinite Transmission Line; 2.6.2 Electrochemistry; 2.6.3 Rough Surface Impedance; Chapter 3: Fractal Elements; 3.1 Fractal Impedances and Fractal Element; 3.2 Implementation of Fractal Impedances Using Electrochemical Converters; 3.2.1 Liquid Electrolyte Electrochemical Signal Converters; 3.2.2 Solid Electrolyte Electrochemical Signal Converters.
|
| 505 |
8 |
|
|a 3.2.3 Fractal Element Fractor3.3 Implementation of Fractal Impedances (Immittances) Using RC Circuits with Lumped Parameters; 3.3.1 Preliminaries; 3.3.2 Properties of Input RC-Transfer Functions; 3.3.3 Circuit Realization Using Foster Forms; 3.3.4 Circuit Realization Using Cauer Forms; 3.3.5 Rational Approximation of Fractal-Order Impedances; 3.3.5.1 The Oustaloup Method of Rational Approximation; 3.3.5.2 Shareff Method of Rational Approximation; 3.3.5.3 El-Khazali Approximation of Fractional-Order Integro-Differential Operators; 3.3.6 Realization of Fractional-Order Inductors (FoIs).
|
| 505 |
8 |
|
|a 3.3.7 Realization of Fractional-Order Capacitors (FoC)3.4 Realization of Fractal Impedances Using RC Circuits with Distributed Parameters; 3.5 Fabrication of Fractal Impedances Using Nanostructured Materials; 3.6 Comparison of Fractal Element Characteristics Using Different Fabrication Technology; Chapter 4: Design and Implementation of Thin RC-EDP Films; 4.1 Classification of Static Heterogeneous Characteristics of RC-EDP Films; 4.2 RC-EDP Film Design of Multilayer Structure; 4.3 Design Development of RC-EDP Films by Changing Layers Geometry.
|
| 650 |
|
0 |
|a Engineering.
|9 42570
|
| 650 |
|
0 |
|a Fractional calculus.
|9 42571
|
| 650 |
|
0 |
|a Fractals.
|9 42572
|
| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|9 42573
|
| 650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
|9 42574
|
| 650 |
|
7 |
|a Fractals.
|2 fast
|9 42572
|
| 650 |
|
7 |
|a Fractional calculus.
|2 fast
|9 42571
|
| 650 |
|
7 |
|a Technology & Engineering
|x Electronics
|x Circuits
|x General.
|2 bisacsh
|9 42575
|
| 650 |
|
7 |
|a Technology & Engineering
|x Electronics
|x General.
|2 bisacsh
|9 42576
|
| 650 |
|
7 |
|a Circuits & components.
|2 bicssc
|9 42577
|
| 650 |
|
7 |
|a Imaging systems & technology.
|2 bicssc
|9 41192
|
| 650 |
|
7 |
|a Electronics engineering.
|2 bicssc
|9 42578
|
| 650 |
|
0 |
|a Systems engineering.
|9 38462
|
| 650 |
|
0 |
|a Electronics.
|9 42579
|
| 700 |
1 |
|
|a Ushakov, Pyotr Arkhipovich,
|e author.
|9 42580
|
| 700 |
1 |
|
|a El-Khazali, Reyad,
|e author.
|9 42581
|
| 942 |
|
|
|2 udc
|c K
|
