# Spherical Coordinates of Jankel Adler (1895-1949) on Payphone

Jankel Adler (1895-1949), 2002, oil on canvas, 32×41 cm

- Cylinder and spherical coordinates.

- Introducing spherical coordinates.

- The acceleration in spherical coordinates.

- The gravitational field of a spherically symmetric mass.

- Spherical coordinates and cylinder coordinates.

- Volume integration in spherical coordinates.

- Reaction and transmission by a stack of layers.

- Cylinder coordinates.

- The divergence in cylinder coordinates.

- Is life possible in a 5-dimensional world.

- The first source of vorticity rigid rotation.

- The second source of vorticity shear.

- The magnetic field induced by a straight current.

- A representation theorem for acoustic waves.

- Statement of Stokes law.

- Stokes theorem from the theorem of Gauss.

- The magnetic field of a current in a straight wire.

- Viscosity and the Navier Stokes equation.

- The adjective terms in the equation of motion.

- Is there convection in the Earths mantle.

- Making an equation dimensionless.

- Projections and the completeness relation.

- A projection on vectors that are not orthogonal.

- The Green's function as impulse response.

- The Green's function for a general problem.

- Radiogenic heating and the earths temperature.

- Nonlinear systems and Greens functions.

- Dipoles, quadrupoles and general relativity.

- The quadrupole field of the Earth.

- Computing a function of a matrix.

- The normal modes of a vibrating system.

- Normal modes and orthogonality relations.

- Bessel functions are decaying cosines.

- Legendre functions are decaying cosines.

- Normal modes and the Green's function.

- Guided waves in a low velocity channel.

- The Green's function of the gravitational potential.

- Upward continuation in a flat geometry.

- Application to some integrals.

- Linear filters and linear algebra.

- The theorem of Cauchy Riemann.

- Fluid flow and analytic functions.

- The real Fourier series on a infinite interval.

- The complex Fourier series on an infinite interval.

- The Fourier transform on an infinite interval.

- The Fourier transform and the delta function.

- Changing the sign and scale factor.

- The convolution and correlation of two signals.

- Linear filters and the convolution theorem.

- The deriverberation filter.

bibliographies

# Spherical Coordinates of Jankel Adler (1895-1949) on Payphone