Mathematics for Enzyme Reaction Kinetics and Reactor Performance (eBook, ePUB)
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Mathematics for Enzyme Reaction Kinetics and Reactor Performance (eBook, ePUB)
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Mathematics for Enzyme Reaction Kinetics and Reactor Performance is the first set in a unique 11 volume-collection on Enzyme Reactor Engineering. This two volume-set relates specifically to the wide mathematical background required for systematic and rational simulation of both reaction kinetics and reactor performance; and to fully understand and capitalize on the modelling concepts developed. It accordingly reviews basic and useful concepts of Algebra (first volume), and Calculus and Statistics (second volume). A brief overview of such native algebraic entities as scalars, vectors, matrices…mehr
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- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 1072
- Erscheinungstermin: 29. April 2020
- Englisch
- ISBN-13: 9781119490333
- Artikelnr.: 59371954
- Verlag: John Wiley & Sons
- Seitenzahl: 1072
- Erscheinungstermin: 29. April 2020
- Englisch
- ISBN-13: 9781119490333
- Artikelnr.: 59371954
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
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700 16.3 Spherical Coordinates 705 16.3.1 Definition and Representation 705 16.3.2 Redefinition of Nabla Operator,
715 16.4 Curvature of Three-dimensional Surfaces 729 16.5 Three-dimensional Integration 737 17 Numerical Approaches to Integration 741 17.1 Calculation of Definite Integrals 741 17.1.1 Zeroth Order Interpolation 743 17.1.2 First- and Second-Order Interpolation 750 17.1.2.1 Trapezoidal Rule 751 17.1.2.2 Simpson's Rule 754 17.1.2.3 Higher Order Interpolation 768 17.1.3 Composite Methods 771 17.1.4 Infinite and Multidimensional Integrals 775 17.2 Integration of Differential Equations 777 17.2.1 Single-step Methods 779 17.2.2 Multistep Methods 782 17.2.3 Multistage Methods 790 17.2.3.1 First Order 790 17.2.3.2 Second Order 790 17.2.3.3 General Order 793 17.2.4 Integral Versus Differential Equation 801 Part 3 Basic Concepts of Statistics 807 18 Continuous Probability Functions 809 18.1 Basic Statistical Descriptors 810 18.2 Normal Distribution 815 18.2.1 Derivation 816 18.2.2 Justification 821 18.2.3 Operational Features 826 18.2.4 Moment-generating Function 829 18.2.4.1 Single Variable 829 18.2.4.2 Multiple Variables 835 18.2.5 Standard Probability Density Function 842 18.2.6 Central Limit Theorem 845 18.2.7 Standard Probability Cumulative Function 855 18.3 Other Relevant Distributions 858 18.3.1 Lognormal Distribution 858 18.3.1.1 Probability Density Function 858 18.3.1.2 Mean and Variance 859 18.3.1.3 Probability Cumulative Function 862 18.3.1.4 Mode and Median 863 18.3.2 Chi-square Distribution 865 18.3.2.1 Probability Density Function 865 18.3.2.2 Mean and Variance 869 18.3.2.3 Asymptotic Behavior 870 18.3.2.4 Probability Cumulative Function 872 18.3.2.5 Mode and Median 873 18.3.2.6 Other Features 874 18.3.3 Student's t-distribution 876 18.3.3.1 Probability Density Function 876 18.3.3.2 Mean and Variance 879 18.3.3.3 Asymptotic Behavior 883 18.3.3.4 Probability Cumulative Function 886 18.3.3.5 Mode and Median 887 18.3.4 Fisher's F-distribution 888 18.3.4.1 Probability Density Function 888 18.3.4.2 Mean and Variance 893 18.3.4.3 Asymptotic Behavior 896 18.3.4.4 Probability Cumulative Function 899 18.3.4.5 Mode and Median 902 18.3.4.6 Other Features 903 19 Statistical Hypothesis Testing 915 20 Linear Regression 923 20.1 Parameter Fitting 924 20.2 Residual Characterization 927 20.3 Parameter Inference 931 20.3.1 Multivariate Models 931 20.3.2 Univariate Models 934 20.4 Unbiased Estimation 937 20.4.1 Multivariate Models 937 20.4.2 Univariate Models 940 20.5 Prediction Inference 949 20.6 Multivariate Correction 951 Further Reading 963
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.u) 693 16.2 Cylindrical Coordinates 695 16.2.1 Definition and Representation 695 16.2.2 Redefinition of Nabla Operator,
700 16.3 Spherical Coordinates 705 16.3.1 Definition and Representation 705 16.3.2 Redefinition of Nabla Operator,
715 16.4 Curvature of Three-dimensional Surfaces 729 16.5 Three-dimensional Integration 737 17 Numerical Approaches to Integration 741 17.1 Calculation of Definite Integrals 741 17.1.1 Zeroth Order Interpolation 743 17.1.2 First- and Second-Order Interpolation 750 17.1.2.1 Trapezoidal Rule 751 17.1.2.2 Simpson's Rule 754 17.1.2.3 Higher Order Interpolation 768 17.1.3 Composite Methods 771 17.1.4 Infinite and Multidimensional Integrals 775 17.2 Integration of Differential Equations 777 17.2.1 Single-step Methods 779 17.2.2 Multistep Methods 782 17.2.3 Multistage Methods 790 17.2.3.1 First Order 790 17.2.3.2 Second Order 790 17.2.3.3 General Order 793 17.2.4 Integral Versus Differential Equation 801 Part 3 Basic Concepts of Statistics 807 18 Continuous Probability Functions 809 18.1 Basic Statistical Descriptors 810 18.2 Normal Distribution 815 18.2.1 Derivation 816 18.2.2 Justification 821 18.2.3 Operational Features 826 18.2.4 Moment-generating Function 829 18.2.4.1 Single Variable 829 18.2.4.2 Multiple Variables 835 18.2.5 Standard Probability Density Function 842 18.2.6 Central Limit Theorem 845 18.2.7 Standard Probability Cumulative Function 855 18.3 Other Relevant Distributions 858 18.3.1 Lognormal Distribution 858 18.3.1.1 Probability Density Function 858 18.3.1.2 Mean and Variance 859 18.3.1.3 Probability Cumulative Function 862 18.3.1.4 Mode and Median 863 18.3.2 Chi-square Distribution 865 18.3.2.1 Probability Density Function 865 18.3.2.2 Mean and Variance 869 18.3.2.3 Asymptotic Behavior 870 18.3.2.4 Probability Cumulative Function 872 18.3.2.5 Mode and Median 873 18.3.2.6 Other Features 874 18.3.3 Student's t-distribution 876 18.3.3.1 Probability Density Function 876 18.3.3.2 Mean and Variance 879 18.3.3.3 Asymptotic Behavior 883 18.3.3.4 Probability Cumulative Function 886 18.3.3.5 Mode and Median 887 18.3.4 Fisher's F-distribution 888 18.3.4.1 Probability Density Function 888 18.3.4.2 Mean and Variance 893 18.3.4.3 Asymptotic Behavior 896 18.3.4.4 Probability Cumulative Function 899 18.3.4.5 Mode and Median 902 18.3.4.6 Other Features 903 19 Statistical Hypothesis Testing 915 20 Linear Regression 923 20.1 Parameter Fitting 924 20.2 Residual Characterization 927 20.3 Parameter Inference 931 20.3.1 Multivariate Models 931 20.3.2 Univariate Models 934 20.4 Unbiased Estimation 937 20.4.1 Multivariate Models 937 20.4.2 Univariate Models 940 20.5 Prediction Inference 949 20.6 Multivariate Correction 951 Further Reading 963