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2. Exponential function - Wikipedia

   en.wikipedia.org/wiki/Exponential_function

   Given a Lie group G and its associated Lie algebra, the exponential map is a map ↦ G satisfying similar properties. In fact, since R is the Lie algebra of the Lie group of all positive real numbers under multiplication, the ordinary exponential function for real arguments is a special case of the Lie algebra situation.

3. Falling and rising factorials - Wikipedia

   en.wikipedia.org/wiki/Falling_and_rising_factorials

   Download QR code ; Print/export ... we can expand generalized exponent laws and ... These coefficients satisfy a number of analogous properties to those for the ...

4. Double exponential function - Wikipedia

   en.wikipedia.org/wiki/Double_exponential_function

   They show that such sequences can be formed by rounding to the nearest integer the values of a double exponential function with middle exponent 2. [1] Ionaşcu and Stănică describe some more general sufficient conditions for a sequence to be the floor of a double exponential sequence plus a constant. [2]

5. Exponentiation - Wikipedia

   en.wikipedia.org/wiki/Exponentiation

   In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.

6. List of Mersenne primes and perfect numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_Mersenne_primes...

   The following is a list of all 52 currently known (as of January 2025) Mersenne primes and corresponding perfect numbers, along with their exponents p. The largest 18 of these have been discovered by the distributed computing project Great Internet Mersenne Prime Search , or GIMPS; their discoverers are listed as "GIMPS / name ", where the name ...

7. Euler's formula - Wikipedia

   en.wikipedia.org/wiki/Euler's_formula

   In electrical engineering, signal processing, and similar fields, signals that vary periodically over time are often described as a combination of sinusoidal functions (see Fourier analysis), and these are more conveniently expressed as the sum of exponential functions with imaginary exponents, using Euler's formula.