Specific "scientific" data structures, and their processing

Programming physicists use, as all programmers, arrays, lists, tuples, records, etc., and this requires some change in their thought patterns while converting their formulae into some code, since the "data structures" operated upon, while elaborating some theory and its consequences, are rather: power series and Pad\'e approximants, differential forms and other instances of differential algebras, functionals (for the variational calculus), trajectories (solutions of differential equations), Young diagrams and Feynman graphs, etc. Such data is often used in a [semi-]numerical setting, not necessarily "symbolic", appropriate for the computer algebra packages. Modules adapted to such data may be "just libraries", but often they become specific, embedded sub-languages, typically mapped into object-oriented frameworks, with overloaded mathematical operations. Here we present a functional approach to this philosophy. We show how the usage of Haskell datatypes and - fundamental for our tutorial - the application of lazy evaluation makes it possible to operate upon such data (in particular: the "infinite" sequences) in a natural and comfortable manner.Comment: In Proceedings DSL 2011, arXiv:1109.032

The Theory of Sound

Title from publisher's bibliographic system (viewed on 25 Nov 2014)

The theory of sound

The Nobel Laureate's classic sums up all research in the field prior to 1877, then presents Rayleigh's own original contributions.Volume One covers harmonic vibrations, systems with one degree of freedom, vibrating systems in general, transverse vibrations of strings, longitudinal and torsional vibrations of bars, vibrations of membranes and plates, curved shells and plates, and electrical vibrations

Scientific papers,

"Contents of volumes I-VI classified according to subject": v. 6, p. [671]-709 ("So much of the classification as relates to vols. I-IV. is almost identical with the corresponding classification on pp. 569-597 of vol. IV."Papers contributed to various scientific serials, with the name and date of the publication in which each first appeared.v. 1. 1869-1881.--v. 2. 1881-1887.--v. 3. 1887-1892.--v. 4. 1892-1901.--v. 5 1902-1910.--v. 6. 1911-1919.Mode of access: Internet

Mathematical and physical papers,

Smith's prize examination papers, 1850-1882: v. 5, p. 309-368.Mathematical tripos problems, 1846-1848: v. 5, p. 296-309.Obituary notice of Sir George Gabriel Stokes, by Lord Rayleigh: v. 5, p. [ix]-xxv.Vols. 4-5 edited by J. Larmor.Vols. 4-5: by the late Sir George Gabriel Stokes, bart. ... Reprinted from the original journals and transactions, with brief historical notes and references.Mode of access: Internet