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  2. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    A power of two is a number of the form 2 n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. In the fast-growing hierarchy, 2 n is exactly equal to (). In the Hardy hierarchy, 2 n is exactly equal to ().

  3. 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] = ⏟.

  4. Googol - Wikipedia

    en.wikipedia.org/wiki/Googol

    A googol is the large number 10 100 or ten to the power of one ... He also noted the similarity of the second calculation to that of ... it would still only equal 10 ...

  5. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    The multiplication of two odd numbers is always odd, but the multiplication of an even number with any number is always even. An odd number raised to a power is always odd and an even number raised to power is always even, so for example x n has the same parity as x. Consider any primitive solution (x, y, z) to the equation x n + y n = z n.

  6. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. The exponential of a variable ⁠ x {\displaystyle x} ⁠ is denoted ⁠ exp ⁡ x {\displaystyle \exp x} ⁠ or ⁠ e x {\displaystyle e^{x}} ⁠ , with the two notations used interchangeably.

  7. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 3 2, which is the number 9.

  8. Euler's totient function - Wikipedia

    en.wikipedia.org/wiki/Euler's_totient_function

    A perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and add together the resulting sequence of numbers; if the sum equals n, then n is a perfect totient number.

  9. Equality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Equality_(mathematics)

    The equals sign, used to represent equality symbolically in an equation. In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] [2] Equality between A and B is written A = B, and pronounced "A equals B".