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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power.

  3. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

  4. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    Fourth power. In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n4 as n “ tesseracted ”, “ hypercubed ...

  5. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    Since taking the square root is the same as raising to the power ⁠ 1 / 2 ⁠, the following is also an algebraic expression: 1 − x 2 1 + x 2 {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} An algebraic equation is an equation involving polynomials , for which algebraic expressions may be solutions .

  6. Zipf's law - Wikipedia

    en.wikipedia.org/wiki/Zipf's_law

    In many texts in human languages, word frequencies approximately follow a Zipf distribution with exponent s close to 1: that is, the most common word occurs about n times the nth most common one. The actual rank-frequency plot of a natural language text deviates in some extent from the ideal Zipf distribution, especially at the two ends of the ...

  7. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    n ! {\displaystyle n!} In mathematics, the factorial of a non-negative integer , denoted by , is the product of all positive integers less than or equal to . The factorial of also equals the product of with the next smaller factorial: For example, The value of 0! is 1, according to the convention for an empty product.

  8. Octonion - Wikipedia

    en.wikipedia.org/wiki/Octonion

    A common choice is to use the definition invariant under the 7 cycle (1234567) with e 1 e 2 = e 4 by using the triangular multiplication diagram, or Fano plane below that also shows the sorted list of 1 2 4 based 7-cycle triads and its associated multiplication matrices in both e n and format.

  9. Floating-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Floating-point_arithmetic

    t. e. In computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. Numbers of this form are called floating-point numbers. [1]: 3 [2]: 10 For example, 12.345 is a floating-point number in base ten ...

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