About: Discrete calculus     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon
http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FDiscrete_calculus&invfp=IFP_OFF&sas=SAME_AS_OFF

Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. The word calculus is a Latin word, meaning originally "small pebble"; as such pebbles were used for calculation, the meaning of the word has evolved and today usually means a method of computation. Meanwhile, calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the study of continuous change.

AttributesValues
rdfs:label
  • Differenzenrechnung (de)
  • Discrete calculus (en)
  • 和分差分学 (ja)
rdfs:comment
  • Die Differenzenrechnung ist ein Teilgebiet der Mathematik, das die diskrete Entsprechung zur Analysis (Differenzial- und Integralrechnung) bildet. Während sich die Analysis mit Funktionen beschäftigt, die auf kontinuierlichen Räumen definiert sind (um einen Grenzwertbegriff etablieren zu können), im Besonderen mit Funktionen auf den reellen Zahlen, interessiert man sich in der Differenzenrechnung für Funktionen auf den ganzen Zahlen ℤ. Die Differenzenrechnung kann zur Berechnung von Reihen angewandt werden. (de)
  • 数学の一部門としての差分法(さぶんほう、英: difference calculus, calculus of finite difference)あるいは和分差分学(わぶんさぶんがく、英: discrete calculus)は、(微分法および積分法を柱とする)微分積分学の離散版にあたる。微分積分学が(極限の概念を定式化し得る)連続的な空間上の函数(特に実数直線上で定義された函数)に興味が持たれるのに対して、和分差分学では離散的な空間、特に整数全体の成す集合 ℤ 上で定義された函数(すなわち数列)に注目する。差分法は級数の計算にも応用される。 (ja)
  • Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. The word calculus is a Latin word, meaning originally "small pebble"; as such pebbles were used for calculation, the meaning of the word has evolved and today usually means a method of computation. Meanwhile, calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the study of continuous change. (en)
foaf:depiction
  • http://commons.wikimedia.org/wiki/Special:FilePath/Simplicial_homology_-_exactness_of_boundary_maps.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Chain_map.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Riemann_sum_convergence.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Stokes_patch.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Wiki_slope_in_2d.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Simplicial_complex_example.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Constant_velocity.png
dcterms:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
Faceted Search & Find service v1.17_git139 as of Feb 29 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 56 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software