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- Almost_periodic_function abstract "In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann. Almost periodicity is a property of dynamical systems that appear to retrace their paths through phase space, but not exactly. An example would be a planetary system, with planets in orbits moving with periods that are not commensurable (i.e., with a period vector that is not proportional to a vector of integers). A theorem of Kronecker from diophantine approximation can be used to show that any particular configuration that occurs once, will recur to within any specified accuracy: if we wait long enough we can observe the planets all return to within a second of arc to the positions they once were in.".
- Almost_periodic_function wikiPageID "405512".
- Almost_periodic_function wikiPageRevisionID "590712753".
- Almost_periodic_function first "E.A.".
- Almost_periodic_function hasPhotoCollection Almost_periodic_function.
- Almost_periodic_function id "7214".
- Almost_periodic_function id "A/a011970".
- Almost_periodic_function id "b/b015820".
- Almost_periodic_function id "b/b016770".
- Almost_periodic_function id "s/s087720".
- Almost_periodic_function id "w/w097680".
- Almost_periodic_function last "Bredikhina".
- Almost_periodic_function title "Almost periodic function".
- Almost_periodic_function title "Besicovitch almost periodic functions".
- Almost_periodic_function title "Bohr almost periodic functions".
- Almost_periodic_function title "Stepanov almost periodic functions".
- Almost_periodic_function title "Weyl almost periodic functions".
- Almost_periodic_function subject Category:Audio_engineering.
- Almost_periodic_function subject Category:Complex_analysis.
- Almost_periodic_function subject Category:Digital_signal_processing.
- Almost_periodic_function subject Category:Fourier_analysis.
- Almost_periodic_function subject Category:Real_analysis.
- Almost_periodic_function subject Category:Topological_groups.
- Almost_periodic_function subject Category:Types_of_functions.
- Almost_periodic_function type Abstraction100002137.
- Almost_periodic_function type Group100031264.
- Almost_periodic_function type TopologicalGroups.
- Almost_periodic_function comment "In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann.".
- Almost_periodic_function label "Almost periodic function".
- Almost_periodic_function label "Fastperiodische Funktion".
- Almost_periodic_function label "Fonction presque périodique".
- Almost_periodic_function label "概周期函数".
- Almost_periodic_function sameAs Fastperiodische_Funktion.
- Almost_periodic_function sameAs Fonction_presque_périodique.
- Almost_periodic_function sameAs Fungsi_hampir_berkala.
- Almost_periodic_function sameAs m.024cnr.
- Almost_periodic_function sameAs Q1066983.
- Almost_periodic_function sameAs Q1066983.
- Almost_periodic_function sameAs Almost_periodic_function.
- Almost_periodic_function wasDerivedFrom Almost_periodic_function?oldid=590712753.
- Almost_periodic_function isPrimaryTopicOf Almost_periodic_function.