Examples

E8.1 The least well-determined physical constants
E8.2 A quantum particle in a gravitational field
E8.3 Drum vibrations with Bessel functions
E8.4 DNA diffraction pattern
E8.5 The gamma function
E8.6 A pendulum making 90-degree swings
E8.7 The circumference of an ellipse
E8.8 Quantum mechanical tunnelling probability for the ground state of the harmonic oscillator
E8.9 The Voigt profile
E8.10 The Euler spiral
E8.11 An application of the exponential integral
E8.12 Visualizing the spherical harmonics
E8.13 Finding the volume of a torus
E8.14 The volume of the unit sphere
E8.15 The mass and centre of mass of a tetrahedron
E8.16 Stokes drag
E8.17 scipy.interpolate.interp1d
E8.18 scipy.interpolate.interp2d
E8.19 Two-dimensional interpolation with scipy.interpolate.RectBivariateSpline
E8.20 Two-dimensional interpolation with scipy.interpolate.griddata
E8.21 A simple model of an airship envelope
E8.22 Non-linear fitting to an ellipse
E8.23 Weighted and non-weighted least-squares fitting
E8.24 Solving the Euler-Lotka equation