Software Diagnostics Institute

Various mathematical analogies and metaphors inspired memory and log analysis patterns and some concepts of software diagnostics and software data analysis. We list them in alphabetical order:

• Adjoints, see also
• Braid groups
• Braids, see also
• Cartesian Product
• Categories
• Coalgebras, functors, 2-categories
• Continuous and discontinuous functions
• Cover
• Critical points, Morse theory
• Curves
• Derivatives, partial derivatives, see also
• Direct sums and products of sets, see also
• Divergence
• Dual categories
• Dynamical systems
• Equivalence Relation
• Fiber bundles, see also
• Fibrations
• Fixed points
• Fourier series
• Galois connections
• Graphs
• Homotopy
• Injections, surjections, bijections
• Intervals
• Jaccard index
• Lattices
• Manifolds, gluing
• Maps, see also
• Minimal surface
• Moduli space
• Motives, see also
• Motivic integration
• Operads
• Orbifolds
• Order duality
• Phase
• Piecewise linear functions
• Poincaré map, Poincaré section
• Posets
• Powerset
• Presheaves
• Projective spaces
• Quotient groups
• Quotient space
• Riemann surfaces, multivalued functions
• Rough sets
• Scalar field
• Sheaves
• Significant digits
• Step functions
• Surfaces
• Tensors
• Topology
• Ultrametric spaces, p-adic numbers
• Variadic functions

The links to their definitions and examples can be found in the corresponding references. We give the original references to Memory Dump Analysis Anthology where possible, but most of them can also be found in Pattern-Oriented Software Diagnostics Reference books.