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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Raising 0 to a negative exponent is undefined but, in some circumstances, it may be interpreted as infinity (). [ 24 ] This definition of exponentiation with negative exponents is the only one that allows extending the identity b m + n = b m ⋅ b n {\displaystyle b^{m+n}=b^{m}\cdot b^{n}} to negative exponents (consider the case m = − n ...

  3. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    The method is based on the observation that, for any integer >, one has: = {() /, /,. If the exponent n is zero then the answer is 1. If the exponent is negative then we can reuse the previous formula by rewriting the value using a positive exponent.

  4. Series expansion - Wikipedia

    en.wikipedia.org/wiki/Series_expansion

    A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.

  5. List of mnemonics - Wikipedia

    en.wikipedia.org/wiki/List_of_mnemonics

    For helping students in remembering the rules in adding and multiplying two signed numbers, Balbuena and Buayan (2015) made the letter strategies LAUS (like signs, add; unlike signs, subtract) and LPUN (like signs, positive; unlike signs, negative), respectively. [34] Order of Operations PEMDAS Please - Parenthesis Excuse - Exponents My ...

  6. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series.

  7. Knuth's up-arrow notation - Wikipedia

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

    In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.

  8. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).

  9. Talk:Negative number - Wikipedia

    en.wikipedia.org/wiki/Talk:Negative_number

    For example, if we say "negative negative ten", that describes positive ten, but students naturally get confused being told that the "negative" of a negative is positive. On the other hand, if we say "the opposite of an opposite is the number we started with", most people find that easy to understand.

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