Index

Symbols

1D Pipe Flow

1D resistivity forward modelling 1D steady state heat conduction

A

Acceleration Activity coefficients Advection Algebraic multiplicity Algorithmic complexity Ampere's law

Angular momentum theorem Array Arrhenius Equation Assert (Python) Attenuation Auxiliary condition AVL Tree

B

Basis Batch crystallization Batch melting Bernoulli’s equation Big O notation Bijection

Binary search tree (BST) Bisection method Body waves Break statement (Python) Brittle Yield Strength BTCS scheme

C

Canonical form (2nd order PDE) Cartopy Cartopy: plotting shapefiles Cauchy's theorem Cauchy-Riemann conditions Central difference Circular Motion Class (Python) Climate model (1D) CO2-H2O System Codomain Coefficient of determination Colour wheel graph Common Mid-point Gather Common Pb method Commutative (Abelian) group

Complex algebra Complex Analysis Complex conjugate Complex differentiation Complex function Complex integration Complex number Complex plane Composition (functions) Concordia diagram Continue statement (Python) Convolution Coordinate systems Couette flow Coulomb's law Curl of a vector field Curve fitting

D

D field D'Alembert's formula Data structures De Moivre's formula Delta function Depth-first search (DFS) Determinant Dictionary (Python) Differential equation

Digital image Digital number (DN) Dimensional Analysis Dispersion Distribution coefficient Divergence of a vector field Divide and Conquer algorithm Domain Drag coefficient Dynamic programming

E

Eccentricity Edge detection Effective viscosity Eigenvalue Eigenvalues Eigenvector Elastic potential energy Electric field Electric potential

Elliptic PDE Energy Energy balance model Equilibrium isotope fractionation Equipartition of Energy Euler Pole Euler’s fixed point theorem Explicit form (DE) Explicit scheme Exponential function

F

False colour composite Faraday's law Field (mathematics) File handling (Python) Finding roots of equations numerically For (Python) Force Forward difference Forward Euler scheme Fourier series, [1]

Fourier series: coefficients Fourier transform Fourier transform method Fourier transforms Fractal Fractional crystallization Fractional melting Fractionation factor Frobenius method FTCS scheme Function (Python)

G

Gauss's law Gauss-Jordan elimination, [1] Gauss-Seidel's method Gaussian elimination, [1] Gaussian function Geometric multiplicity Geometric spreading Ghosting Gibbs Phenomenon Gibbs phenomenon

Gradient of a scalar field Graph Graph Algorithms Graph of a function Graph traversal Gravitational potential energy, [1] Gravity, [1] Gravity corrections Gravity force Greedy algorithms Group

H

H field Handling errors (Python) Hash Table Heap Heat (diffusion)

Heat flow, [1] Hess' law Heun's method Holomorphic function Hyperbolic function Hyperbolic PDE

I

If (Python) Image (functions) Image filtering Image point operations Image transformations Impedance Implicit form (DE) Implicit scheme Importing modules (Python) Injection Inner product Interpolation

Interpolation and curve fitting Intrinsic attenuation Invariants Inverse (functions) Inverse hyperbolic function (area) Inverse of a matrix Inverse trigonometric function (arcus) Isobar Isochron Isostasy, [1] Isotope isotope fractionation Iterative methods to solve a matrix

J

Jacobi's method

K

Kepler's laws

Keplerian orbits Kinetic energy

L

Lambda (Python) Laminar flow Laplace operator Laplace's equation Laplacian for scalar/vector fields Latent heat Latitude Linear combination Linear Differential Equation Linear regression Linear system Linear transformation

Linked list List (Python) List comprehension (Python) Lithospheric Strength Logarithmic function Logic symbols Longitude Longitudinal waves Lorentz force Love waves LU decomposition Lu-Hf decay

M

Magnetic dipole moment Magnetic flux Magnetic surveys Magnetisation Major element Matplotlib (Python) Matrices Matrix norm Matrix norms Matrix operations Matrix-matrix multiplication Matrix-vector multiplication Maxwell's equations

Method of characteristics Milankovitch cycles Minimum spanning tree (MST) Minor element Mixed layer Model age Modelling Modulus Moment of inertia Motion in 1D Motion in 2D Moving average filter Multivariable calculus

N

Navier Stoke Equation Nested list (Python) Newton's law of universal gravitation Non Linear Viscosity 2D Stokes Norm

Nuclide Null space Numerical 2nd derivative Numerical differentiation Numerical integration NumPy arrays

O

Obliquity Odd and even functions

ODEs Orthorectification Outer product

P

Pandas: assigning Pandas: basics Pandas: combining Pandas: date-time stamps Pandas: filtering Pandas: grouping Pandas: merging Pandas: plotting Pandas: reading and writing files Pandas: selecting Pandas: sorting Pandas: summary statistics Parabolic PDE Partial differentiation Pass statement (Python) Permutations Péclet number Picard's method Plate models Plate Recycling

Plate tectonics Plots: 3D Plots: Animations Plots: histogram Plots: image Plotting Earthquake Focus Point operations Poiseuille flow Poisson's equation Polar form of complex numbers Polarisation Polynomial function Position Potential energy Pourbaix diagram Power series method Prandtl number Precession Pressure Printing (Python) Pseudo colour display

Q

Quality factor

Queue Quiver plot

R

Radioactive dating Range (Linear Algebra) Rank Rate Law Ray Rayleigh equation Rayleigh number Rayleigh waves Rb-Sr decay Re-Os decay Reaction Quotient

Recursion Reflection Refraction Restriction (functions) Reynolds number Ridge Push Root (functions) Root bracketing Root-mean-square error Rotational Motion Roundoff errors Runge-Kutta method

S

Scalar field Scattering Secant method of root finding Self-similar solution Separation of variables Sequence Series Series solution of ODEs Set (Python) Sets (Mathematics) Sharpening filters Similar matrix Simple Harmonic Motion Sm-Nd decay Smoothing filter Snell's law SOR algorithm Spanning set Sparse matrices Spatial aliasing

Specific heat SPH Algorithm for Energy Equation Stability Diagram Stack Statistics: basics Stokes’ Law Strain Stream functions Stream lines Streamline plot Stress Stress tensor String formating (Python) Superposition (Waves) Surface waves Surjection SymPy: curl SymPy: differentiation SymPy: divergence SymPy: gradient

T

Taylor series Temperature Temporal aliasing Tensor index Tensor operation The four-field formalism Thermal conduction Thermal convection Thermal diffusion Thermal expansion Tidal frequencies

Tides Timestepping an ODE Trace Trace element Transmission Transverse waves Trigonometric function Tristimulus colour theory True colour composite Tuple (Python) Turbulent flow

U

U-Th-Pb decay

V

Variable (Python) Vector Vector calculus, [1] Vector differentiation Vector field

Vector function Vector norms Vector space Velocity Version control Git Viscosity

W

Water waves Wave equation, [1] Wavefront Well-posedness

While (Python) Work Work-energy theorem Wronskian