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point of accumulation

point of accumulation

9.9
A value that a function or sequence gets closer to as the input increases
  • noun
  • Specialized
translation icon : punto de acumulación
  • For this sequence, the only point of accumulation is zero.

Examples

  • Mathematicians use the term point of accumulation to describe a function's limiting behavior.

  • As x increases without bound, the point of accumulation of the function becomes evident.

  • The point of accumulation is crucial in calculus.

  • Can you explain the point of accumulation in this function?

  • As x increases without bound, the point of accumulation of the function becomes evident.

  • Mathematicians use the term point of accumulation to describe a function's limiting behavior.

  • For this sequence, the only point of accumulation is zero.

Synonyms

limit
vspoint of accumulation
  • Specialized
43 7.4

The value a function or sequence gets close to as input changes

restricts to approaching specifically as the variable tends to infinity
limit point
vspoint of accumulation
  • Specialized
9.8

A value that a function gets closer to as the input goes to a point or to infinity

focuses only on approaching as the variable goes to infinity

Surface Forms

Morphology

point + of + accumulation

The phrase is compositionally built from 'point' (a specific position) + 'accumulation' (a build-up), so it literally means 'a point where things accumulate', which corresponds to the mathematical notion of an accumulation/limit point. This noun-of-noun construction is a common, cross-linguistic pattern, so a B1 learner who knows the constituent words would grasp the basic meaning (though full technical nuances require mathematical background).

Etymology

Point of accumulation gives a simple picture: imagine many dots on a line slowly gathering near one place, the point where the accumulation happens. So, it means the value that a list of numbers or a function 'gets closer to' as its input grows.