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2. List of representations of e - Wikipedia

   en.wikipedia.org/wiki/List_of_representations_of_e

   The mathematical constant e can be represented in a variety of ways as a real number.Since e is an irrational number (see proof that e is irrational), it cannot be represented as the quotient of two integers, but it can be represented as a continued fraction.

3. e (mathematical constant) - Wikipedia

   en.wikipedia.org/wiki/E_(mathematical_constant)

   The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .

4. List of mathematical constants - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_constants

   For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.

5. Euler numbers - Wikipedia

   en.wikipedia.org/wiki/Euler_numbers

   The Euler numbers appear in the Taylor series expansions of the secant and hyperbolic secant functions. The latter is the function in the definition. The latter is the function in the definition. They also occur in combinatorics , specifically when counting the number of alternating permutations of a set with an even number of elements.

6. Euler's constant - Wikipedia

   en.wikipedia.org/wiki/Euler's_constant

   Using the same approach, in 2013, M. Ram Murty and A. Zaytseva showed that the generalized Euler constants have the same property, [3] [44] [45] where the generalized Euler constant are defined as = (= ⁡ = ()), where ⁠ ⁠ is a fixed list of prime numbers, () = if at least one of the primes in ⁠ ⁠ is a prime factor of ⁠ ⁠, and ...

7. Proof that e is irrational - Wikipedia

   en.wikipedia.org/wiki/Proof_that_e_is_irrational

   The number e was introduced by Jacob Bernoulli in 1683. More than half a century later, Euler , who had been a student of Jacob's younger brother Johann , proved that e is irrational ; that is, that it cannot be expressed as the quotient of two integers.

8. Contributions of Leonhard Euler to mathematics - Wikipedia

   en.wikipedia.org/wiki/Contributions_of_Leonhard...

   Euler introduced much of the mathematical notation in use today, such as the notation f(x) to describe a function and the modern notation for the trigonometric functions. He was the first to use the letter e for the base of the natural logarithm, now also known as Euler's number.

9. List of topics named after Leonhard Euler - Wikipedia

   en.wikipedia.org/wiki/List_of_topics_named_after...

   Euler numbers, integers occurring in the coefficients of the Taylor series of 1/cosh t; Eulerian numbers count certain types of permutations. Euler number (physics), the cavitation number in fluid dynamics. Euler number (algebraic topology) – now, Euler characteristic, classically the number of vertices minus edges plus faces of a polyhedron.