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Napierian logarithm

Napierian logarithm

9.9
The number that tells how many times e must be multiplied to get another number
  • noun
  • /ˌneɪpiˈɛrɪən ˈlɔɡəˌrɪðəm/
  • Specialized
translation icon : logaritmo neperiano
  • To find the Napierian logarithm of a number, you can use a scientific calculator set to natural log mode.

Examples

  • When solving exponential equations, the Napierian logarithm can simplify the calculation.

  • The Napierian logarithm of a number is used frequently in advanced calculus.

  • She explained how to convert a common logarithm into a Napierian logarithm using a mathematical formula.

  • The Napierian logarithm is essential in calculus.

  • Do you understand the concept of Napierian logarithms?

  • In advanced mathematics, the Napierian logarithm is crucial for solving differential equations.

  • Many scientific calculations rely on the Napierian logarithm to represent exponential growth.

Synonyms

natural logarithm
vsNapierian logarithm
  • Specialized
1 5.0

A logarithm that uses the number e, about 2.718, as its base

has identical meaning but is an alternate historical name

Surface Forms

Morphology

Napierian + logarithm

The element 'logarithm' makes it clear this is a type of logarithm, so learners would infer it names a particular kind; however 'Napierian' is a proper-name adjective that does not transparently indicate the crucial property (the base e) to a B1 learner without technical/math background. Because part of the meaning (a specific kind of logarithm) is clear but the defining detail (base e / natural logarithm) is not derivable from the constituents, the item is only partially transparent.

Etymology

Napierian logarithm is named after John Napier, a Scottish mathematician who invented logarithms to turn hard multiplication into easier addition, so people used his name for this kind of log. That's why today Napierian logarithm usually means the 'natural logarithm' or the logarithm with 'base e', which is used a lot in higher math.