What does e in math mean Meaning and Definition

What does e in math mean

What does e in math mean

Pronunciation

/iː/

Part of Speech

Noun

Definition

In mathematics, e is a fundamental constant approximately equal to 2.71828, known as the base of the natural logarithm. It is used to define the natural logarithm and is a fundamental constant in many mathematical formulas.

Examples

  • The value of e is approximately 2.71828.
  • e is used in many mathematical formulas, such as the formula for the Binomial theorem.

Synonyms

  • Natural logarithm
  • Base of the natural logarithm

Etymology

The constant e was first introduced by Leonhard Euler in the 18th century, and its value was later calculated to a high degree of accuracy by mathematicians such as Leonhard Euler and Joseph-Louis Lagrange.

Usage Notes

In mathematics, e is used to represent the base of the natural logarithm, and is used in many mathematical formulas, such as the formula for the Binomial theorem. It is also used in many mathematical functions, such as the exponential function.

Cultural References

e has appeared in popular culture in various forms, such as in the title of the book “Pi” by Darren Aronofsky, which tells the story of a mathematician who becomes obsessed with the value of e.

Idiomatic Expressions or Phrases

Related Words or Phrases

  • Natural logarithm
  • Base of the natural logarithm
  • Exponential function

Collocations

e is often paired with words such as logarithm, exponential, and natural.

Frequency of Use

e is a widely used constant in mathematics and appears in many mathematical formulas, making it a common term in mathematical and scientific contexts.

Common Misspellings

e is often misspelled as “ee” or “eet”, but it is officially spelled as a single letter “e”.

Related Words