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convergence

convergence

3 8.0
A sequence or series that gets closer to a single value as you add terms
  • noun
  • /kənˈvɜrdʒəns/
  • Specialized
translation icon : convergencia
  • You could arrive at convergence, but it could be that the numbers converge to the wrong conclusion.
  • convergence rate
  • convergence criterion
  • degree of convergence

And so for each level there will be convergence to the same fixed point.

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Examples

  • So let's investigate the convergence of this sequence.

  • Refugee flows and settlement sites lie at the convergence of a series of global processes.

    Academic text (2005)
  • So the point is the convergence then is extremely fast.

  • And here once again quite good convergence for the moments as well.

  • OK, so now you have to know what convergence of sequences means.

  • So the first thing that we need to do when we're talking about intervals of convergence is the following.

  • Despite these differences, there is a striking convergence of corresponding equations of state at high pressure.

    Academic text (1998)
  • Several historic phenomena began to converge in the 1980s, and that convergence continues and intensifies in 2013.

    Academic text (2013)
  • In calculus, the convergence of a series means that as more terms are added, the sum approaches a specific value.

  • The convergence of terms in this mathematical sequence allows us to find its limit by examining its behavior as n increases.

Synonyms

convergency
vsconvergence
  • Specialized
9.9

A property of a list of numbers whose values get closer to a fixed number

focuses on reaching a specific value as more terms are added

Antonyms

divergence
  • Specialized
1 9.2

A number series that does not get closer to a fixed value

Surface Forms

convergence singular
convergences plural

Morphology

convergence = converge (semi-transparent) = converge + ence

The suffixation is regular, but the mathematical sense refers to a technical property rather than just any act of converging.

Etymology

Convergence comes from Latin parts con- ('together') and vergere ('to turn'), giving the image of things 'turning toward' the same point. So in math, convergence describes a sequence or series whose values 'come together' toward one fixed number.