Читать книгу Mathematics for Enzyme Reaction Kinetics and Reactor Performance - F. Xavier Malcata - Страница 4

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,...Figure 3.2 Graphical representation of (a) vectors u, v, and w, and of sum, Figure 3.3 Graphical representation of (a) vectors u and v, (b) u and symmet...Figure 3.4 Graphical representation of (a) vectors u, v, and w, and of sum,

3 Chapter 6Figure 6.1 Graphical representation of vectors u and v, (a) with coordinates...

4 Chapter 7Figure 7.1 Graphical solution of quadratic equation ax² + bx + c =...Figure 7.2 Variation, with its argument x, of Lambert’s W function within th...Figure 7.3 Evolution in root searching for equation f {x} = 0 via bisection ...Figure 7.4 Evolution in root searching for equation f {x} = 0 via linear int...Figure 7.5 Evolution in root searching for equation f {x} = 0 via Newton and...Figure 7.6 Evolution in root searching for equation f {x} = 0 via secant met...Figure 7.7 Evolution in root searching for equation f {x} = 0 via direct ite...

5 Chapter 9Figure 9.1 Graphical representation of neighborhood, centered at a and with ...Figure 9.2 (a) Bounding, by inner triangle [0BC] and outer triangle [0CD], o...Figure 9.3 Graphical representation of function f {x}, (a) continuous within...Figure 9.4 Graphical representation of function f {x}, (a) continuous within...Figure 9.5 Graphical representation of function f {x}, continuous within int...

6 Chapter 10Figure 10.1 Graphical representation of continuous function, with ordinate fFigure 10.2 Graphical representation of continuous function, with ordinate Figure 10.3 Graphical representation of function f {x}, continuous within in...Figure 10.4 Graphical representation of function f {x}, continuous within in...Figure 10.5 Graphical representation of (a) functions f {x} and g{x}, both c...

7 Chapter 11Figure 11.1 Graphical representation of functions g{x} and h{x} on the x0y p...Figure 11.2 Graphical representation of continuous function, f {x}, within i...Figure 11.3 Graphical representation of continuous function f {x} on the x0yFigure 11.4 Graphical representation of functions g₁{x} and g₂{x} (____) on ...

8 Chapter 12Figure 12.1 Graphical representation of function f {x} on the x0y plane, suc...Figure 12.2 Variation of sine function, f {x} (___), and Taylor’s polynomial...Figure 12.3 Variation of inverse Lambert’s W function, W ⁻¹{y}, for po...Figure 12.4 Variation of gamma function, Γ(___), with its continuous ar...

9 Chapter 13Figure 13.1 Graphical representation of straight line containing points A an...Figure 13.2 Graphical representation of (a) a triangle, [ABC], and (b) a rec...Figure 13.3 Graphical representation of (a) a triangle, [ABC], and (b) a rec...Figure 13.4 Representation of circle and ellipse as contours of sectional su...Figure 13.5 Graphical representation of (a) a circumference of radius R, cen...Figure 13.6 Length, Δs, of plane curve, y ≡ y{x}, corresponding to change ΔxFigure 13.7 Curvature of plane curve, y ≡ y{x}, with tangent thereto at absc...Figure 13.8 Graphical representation of functions g₁{x} and g₂{x} on the x0yFigure 13.9 Graphical representation, (a) sidewise and (b) frontwise, of pla...Figure 13.10 Graphical representation, (a) sidewise and (b) frontwise, of pl...

10 Chapter 14Figure 14.1 Representation of integration area () of double integral on (a)...Figure 14.2 Graphical representation (a,b,c) of a generic convex function, f

11 Chapter 15Figure 15.1 Phase portraits, as ‐vs.‐, of selected sets of two nonlinear f...Figure 15.2 Phase portraits, as ‐vs.‐, of selected sets of two linear firs...Figure 15.3 Variation of Bessel’s functions of the first kind, of order zero...

12 Chapter 16Figure 16.1 Graphical representation of a general point P, via rectangular c...Figure 16.2 Graphical representation of a general point P, via cylindrical c...Figure 16.3 Graphical representation of a general point P, via spherical coo...Figure 16.4 Arc differential, ds, along a (normal) section (PR) of a space c...

13 Chapter 17Figure 17.1 Graphical description of antique method of quadrature, via squar...Figure 17.2 Graphical representation of rectangular quadrature () of functi...Figure 17.3 Graphical representation of (a) trapezoidal rule and (b) Simpson...Figure 17.4 Solution of differential equation as y ≡ y{x}, within given rang...

14 Chapter 18Figure 18.1 Graphical representation of logarithm of x/y and x/y minus unity...Figure 18.2 Graphical representation of standard normal probability density ...Figure 18.3 Graphical representation of (a) standard normal probability cumu...Figure 18.4 Graphical representation of lognormal (a, b) probability density...Figure 18.5 Graphical representation of chi‐square (a) probability density f...Figure 18.6 Graphical representation of Student’s t (a) probability density ...Figure 18.7 Graphical representation of Fisher’s F (a, b) probability densit...

15 Chapter 19Figure 19.1 Graphical representation of probability density function of (a–c...