Mathematics for Enzyme Reaction Kinetics and Reactor Performance. F. Xavier Malcata

15.2 Partial Differential Equations 16 Vector Calculus 16.1 Rectangular Coordinates 16.2 Cylindrical Coordinates 16.3 Spherical Coordinates 16.4 Curvature of Three‐dimensional Surfaces 16.5 Three‐dimensional Integration 17 Numerical Approaches to Integration 17.1 Calculation of Definite Integrals 17.2 Integration of Differential Equations 3 Basic Concepts of Statistics 18 Continuous Probability Functions 18.1 Basic Statistical Descriptors 18.2 Normal Distribution 18.3 Other Relevant Distributions 19 Statistical Hypothesis Testing 20 Linear Regression 20.1 Parameter Fitting 20.2 Residual Characterization 20.3 Parameter Inference 20.4 Unbiased Estimation 20.5 Prediction Inference 20.6 Multivariate Correction

      8  Further Reading

      9  Index

      10  End User License Agreement

      List of Tables

      1 Chapter 2Table 2.1 Pascal’s triangle encompassing coefficients of power of binomial,

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      2 Chapter 7Table 7.1 Nature of roots of set ofm linear equations in n unknowns, as a fun...

      3 Chapter 10Table 10.1 List of derivatives obtained via definition.Table 10.2 List of derivatives obtained via theorem of sum of functions.Table 10.3 List of derivatives obtained via the theorem on product of functio...Table 10.4 List of derivatives obtained via the theorem of quotient of functi...Table 10.5 List of derivatives obtained via theorem of inverse function.Table 10.6 List of derivatives obtained via theorem of composite function.

      4 Chapter 11Table 11.1 List of elementary indefinite integrals.Table 11.2 List of indefinite integrals obtained by rule of decomposition.Table 11.3 List of indefinite integrals obtained by rule of integration by pa...Table 11.4 List of indefinite integrals obtained by rule of integration by ch...

      5 Chapter 12Table 12.1 Actual values, and Stirling’s approximants of factorials of the fi...

      6 Chapter 14Table 14.1 List of Laplace’s transforms of functions obtained via definitionTable 14.2 List of Laplace’s transforms of functions obtained via associated ...Table 14.3 List of Laplace’s inverse transforms of functions obtained via def...

      7 Chapter 15Table 15.1 Nature of critical points, and qualitative features of eigenvalues...Table 15.2 Combination of values ofi = 0, 1, 2, … and j = 0, 1, …...

      8 Chapter 17Table 17.1 List of (integer) coefficientsH_n,j and

H,_n,j, each associated to...Table 17.2 Characteristic coefficients,a_{s – j} (j = 1, 2, …...Table 17.3 Characteristic coefficients,a_{s − j} ( j = 1, 2, …, sTable 17.4 List of order of accuracy,p, and associated minimum number of stages,...

      9 Chapter 18Table 18.1 Critical, unilateral and bilateral, quantiles of (standard normal)Table 18.2 Critical, unilateral and bilateral, quantiles of chi‐square‐statis...Table 18.3 Critical, unilateral and bilateral, quantiles oft-statistic, t_crt,...Table 18.4 Critical, unilateral and bilateral, quantiles ofF‐statistic, F_crt,...

      10 Chapter 19Table 19.1 Description of types of statistical errors and (given) critical va...Table 19.2 Most common statistical tests, and associated features in terms of...

      List of Illustrations

      1 Chapter 2Figure 2.1 Variation of absolute value, |x|, as a function of a real number,...Figure 2.2 Variation of (natural) (a) exponential, e^x, and (b) logarithm, ln...Figure 2.3 Variation of arithmetic mean (arm), logarithmic mean (lom), geome...Figure 2.4 Variation of value of n‐term arithmetic series, S_n, normalized by...Figure 2.5 Variation of value of n‐term geometric series, S_n, normalized by ...Figure 2.6 Variation of value of n‐term arithmetic–geometric series, S_n, nor...Figure 2.7 Graphical algorithm of (long) Euclidean division of polynomials o...Figure 2.8 Graphical algorithm of (long) Ruffini’s division of polynomials –...Figure 2.9 Geometric demonstration of Newton’s binomial formula at two dimen...Figure 2.10 (a) Trigonometric circle, described by vector u of unit length c...Figure 2.11 Illustration of Pythagoras’ theorem as (a) graphical statement, ...Figure 2.12 Graphical representation of generic triangle [ABC] – with indica...Figure 2.13 Variation, with their argument x, of major inverse trigonometric...Figure 2.14 Variation, with their argument x, of major hyperbolic functions,...Figure 2.15 Variation, with their argument x, of inverse hyperbolic function...

      2 Chapter 3Figure 3.1 Graphical representation of (a) addition of two vectors, u and v,...