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divergence

divergence

1 9.2
A number series that does not get closer to a fixed value
  • noun
  • /dɪˈvɜrdʒəns/
  • Specialized
translation icon : divergencia
  • In calculus, the divergence of a series means it does not settle at a specific value.

OK, you need to add the counter terms cancel the divergences.

Examples

  • The divergence of the sequence indicates that its terms grow larger without bound.

  • Mathematically, if the divergence of a function is not finite, it suggests unbounded growth.

  • The influence of posture on the strength and utilization ratio is shown by the divergence of the last two methods.

    Academic text (1997)
  • Its divergence at Formula omitted is canceled numerically on the second last line.

    Academic text (2018)
  • In September, there was another failure swing, aka negative divergence, between price action and $SPX indicating a potential top.

    Blog text (22)
  • In turn, this can mean divergence into deterministic chaos, decay to a standstill, or pieces of both.

    Blog text (26)
  • In effect, the altered magnetic field produced better resolution with wider angular divergence from the source, which improved both throughput and resolution.

    Academic text (2006)
  • As it happens, it is sometimes in the moments where both philosophies seem to meet most intimately that divergences become apparent.

    Academic text (2017)
  • Do closely related populations or species demonstrate ecophysiological divergence, and do their differences reflect patterns of environmental variation as expected on functional grounds?

    Academic text (2000)
  • The general structure of quartic, quadratic, and logarithmic divergences is displayed.

    Academic text (2018)

Synonyms

divergency
vsdivergence
  • Specialized
9.9

A list of numbers that does not get closer to one value

is the more common term form used in mathematics today
nonconvergence
vsdivergence
  • Specialized
9.9

A list of numbers or a function that does not settle at a single value as the input grows

is limited to infinite sequences or series rather than including functions

Antonyms

convergence
  • Specialized
3 8.0

A sequence or series that gets closer to a single value as you add terms

Surface Forms

divergence singular
divergences plural

Morphology

divergence = diverge (semi-transparent) = diverge + ence

Formally a nominalization of 'diverge', but the specialized mathematical sense ('does not approach a finite limit') requires domain knowledge and is not fully predictable by general learners.

Etymology

Divergence comes from Latin parts di- 'apart' and vergere 'to turn', so it literally means 'turning apart'. In math, imagine a sequence that keeps 'turning away' from a single number and never comes together, which is why such behaviour is called divergence.