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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The definition of e x as the exponential function allows defining b x for every positive real numbers b, in terms of exponential and logarithm function. Specifically, the fact that the natural logarithm ln(x) is the inverse of the exponential function e x means that one has = ⁡ (⁡) = ⁡

  3. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    The same number, however, would be used if the last two digits were also measured precisely and found to equal 0 – seven significant figures. When a number is converted into normalized scientific notation, it is scaled down to a number between 1 and 10. All of the significant digits remain, but the placeholding zeroes are no longer required.

  4. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    The original proof is based on the Taylor series expansions of the exponential function e z (where z is a complex number) and of sin x and cos x for real numbers x . In fact, the same proof shows that Euler's formula is even valid for all complex numbers x.

  5. Exponential function - Wikipedia

    en.wikipedia.org/wiki/Exponential_function

    The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeably. It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. There are several other definitions of the exponential function, which are all equivalent ...

  6. 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 .

  7. Power of 10 - Wikipedia

    en.wikipedia.org/wiki/Power_of_10

    Scientific notation is a way of writing numbers of very large and very small sizes compactly when precision is less important. A number written in scientific notation has a significand (sometime called a mantissa) multiplied by a power of ten. Sometimes written in the form: m × 10 n. Or more compactly as: 10 n

  8. Large numbers - Wikipedia

    en.wikipedia.org/wiki/Large_numbers

    A standardized way of writing very large numbers allows them to be easily sorted in increasing order, and one can get a good idea of how much larger a number is than another one. To compare numbers in scientific notation, say 5×10 4 and 2×10 5, compare the exponents first, in this case 5 > 4, so 2×10 5 > 5×10 4.

  9. Knuth's up-arrow notation - Wikipedia

    en.wikipedia.org/wiki/Knuth's_up-arrow_notation

    In expressions such as , the notation for exponentiation is usually to write the exponent as a superscript to the base number .But many environments — such as programming languages and plain-text e-mail — do not support superscript typesetting.

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