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infinitesimal

infinitesimal

1 9.5
A tiny quantity in math that is smaller than any ordinary number but not zero
  • noun
  • /ˌɪnfɪnɪˈtɛsɪməl/
  • Specialized
: infinitesimal
  • And there are no infinitesimals in the real numbers.

Examples

  • They added the concept of the infinitesimal and that is truly remarkable.

  • We thought of the action as a sum over little infinitesimal cells.

  • OK, this is an infinitesimal transformation.

  • And one of the early assumptions in the book is that curves are made of infinitesimal straight segments.

  • X is not infinitesimal, it's the length of the rod separating the hot and cold ends.

  • So this epsilon is the infinitesimal transformation parameter.

  • The force which I write as DF, meaning an infinitesimal force on an infinitesimal segment is DL cross B.

  • It is called Infinitesimal Calculus, and it is by Lamb, Cambridge University Press.

  • Because what infinitesimals DPL and DPT?

  • In calculus, we often work with infinitesimal quantities that allow us to make precise calculations involving limits.

Compounds

1 9.9

The part of math that studies how numbers or quantities change using limits, derivatives, and integrals

How Small

infinitesimal
  • Specialized
1 9.5
little bit
∞ 1.0
quantity
202 1.6

Surface Forms

infinitesimal singular

Etymology

Infinitesimal as a noun comes from the same parts in- ('not') and finite ('limited') and the idea of a very small part like decimal. So in math an infinitesimal is thought of as a tiny amount that comes very close to zero but is not exactly zero.