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Topic: Infinitesimal quantity


  
  Continuity and Infinitesimals
The widespread use of indivisibles and infinitesimals in the analysis of continuous variation by the mathematicians of the time testifies to the affirmation of a kind of mathematical atomism which, while logically questionable, made possible the spectacular mathematical advances with which the calculus is associated.
The concept of infinitesimal had arisen with problems of a geometric character and infinitesimals were originally conceived as belonging solely to the realm of continuous magnitude as opposed to that of discrete number.
Infinitesimal quantities may be characterized as quotients b/m of a finite quantity b by an infinite quantity m.
plato.stanford.edu /entries/continuity   (16766 words)

  
 Integral -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-29)
The ∫ sign represents integration, a and b are the endpoints of the (The difference in pitch between two notes) interval, f(x) is the function we are integrating, and dx is a notation for the variable of integration.
Historically, dx represented an infinitesimal quantity, and the long s stood for "sum".
However, modern theories of integration are built from different foundations, and the traditional symbols have become no more than (A technical system of symbols used to represent special things) notation.
www.absoluteastronomy.com /encyclopedia/i/in/integral.htm   (1854 words)

  
 integral data type   (Site not responding. Last check: 2007-10-29)
Raw data are numbers, characters, images or other outputs from devices to convert physical quantities into symbols, in a very broad sense.
Such data are typically further processed by a human or input into a computer, stored and processed there, or transmitted (output) to another human or computer.
Independently of this, because geometric integrators preserve many useful quantities, when the goal is to generate a credible (as opposed to precise) simulation, geometric integrators allow one to take larger step sizes.
www.33beat.com /integral%20data%20type.html   (4895 words)

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