exponential series
- noun
- Specialized
:
serie exponencial
- The function eˣ can be represented as an exponential series for all real numbers x.
Examples
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Mathematicians use the exponential series to define and analyze the exponential function.
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The exponential series converges for all real numbers.
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In calculus, the exponential series is a key example of an infinite power series.
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Can you explain the exponential series to me?
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In calculus, the exponential series is a key example of an infinite power series.
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Mathematicians use the exponential series to define and analyze the exponential function.
-
The function eˣ can be represented as an exponential series for all real numbers x.
Synonyms
20
8.6
A total made by adding numbers one after another
An endless sum of terms with powers like x, x squared, x cubed
Antonyms
How Many
- Specialized
- Specialized
- Specialized
20
8.6
- Specialized
Surface Forms
Morphology
The noun phrase is compositionally built: 'exponential' modifies 'series', so a learner who knows 'exponential' (relating to exponents or rapid increase) and 'series' (a sum of terms) can infer it is a series involving exponentials or exhibiting exponential behavior. This follows a standard modifier+noun pattern and is therefore immediately derivable from the constituents rather than idiomatic.
Etymology
Exponential series names the list of terms you get when you write out the exponential function: exponential points to the powers x, x², x³... and series means a list added together. That's why exponential series means the infinite list of terms that 'builds' the exponential function.