point of accumulation
- noun
- Specialized
- For this sequence, the only point of accumulation is zero.
Examples
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Mathematicians use the term point of accumulation to describe a function's limiting behavior.
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As x increases without bound, the point of accumulation of the function becomes evident.
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The point of accumulation is crucial in calculus.
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Can you explain the point of accumulation in this function?
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As x increases without bound, the point of accumulation of the function becomes evident.
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Mathematicians use the term point of accumulation to describe a function's limiting behavior.
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For this sequence, the only point of accumulation is zero.
Synonyms
The value a function or sequence gets close to as input changes
A value that a function gets closer to as the input goes to a point or 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.