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  2. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    This algorithm calculates the value of x n after expanding the exponent in base 2 k. It was first proposed by Brauer in 1939. In the algorithm below we make use of the following function f (0) = ( k , 0) and f ( m ) = ( s , u ), where m = u ·2 s with u odd.

  3. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    A quadratic equation is one which includes a term with an exponent of 2, for example, , [40] and no term with higher exponent. The name derives from the Latin quadrus , meaning square. [ 41 ] In general, a quadratic equation can be expressed in the form a x 2 + b x + c = 0 {\displaystyle ax^{2}+bx+c=0} , [ 42 ] where a is not zero (if it were ...

  4. Puzzle solutions for Sunday, Dec. 1, 2024

    www.aol.com/news/puzzle-solutions-sunday-dec-1...

    Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers. Puzzle solutions for Sunday, Dec. 1, 2024 Skip to main content

  5. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power ⁠ (+) ⁠ expands into a polynomial with terms of the form ⁠ ⁠, where the exponents ⁠ ⁠ and ⁠ ⁠ are nonnegative integers satisfying ⁠ + = ⁠ and the coefficient ⁠ ⁠ of each term is a specific positive integer ...

  6. Pascal's pyramid - Wikipedia

    en.wikipedia.org/wiki/Pascal's_pyramid

    For the other two variables, one exponent increases by 1 and one exponent decreases by 1. The exponents of A are 3 and 2 (the larger being in the left term). The exponents of C are 0 and 1 (the larger being in the right term). The coefficients and larger exponents are related: 4 × 3 = 12 × 1; 4 / 12 = 1 / 3; These equations yield the ratio ...

  7. 15 Celebrities Whose Cheating Scandals Rocked 2024 - AOL

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    Stewart had a short and sweet answer: “Very easy, you have to be circumspect.” Image credits: Bored Panda #5 Megan Fox Allegedly Found “Upsetting” Messages On Mgk’s Phone

  8. What are angel numbers? A guide to the numeric sequences and ...

    www.aol.com/angel-numbers-guide-numeric...

    Head to our Just Curious section to see what else we can answer. This article originally appeared on USA TODAY: Angel numbers: A beginner's guide to what they mean and more. Show comments.

  9. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    [5] [6] (Iverson used square brackets for a different purpose, the Iverson bracket notation.) Both notations are now used in mathematics, although Iverson's notation will be followed in this article. In some sources, boldface or double brackets x are used for floor, and reversed brackets x or ]x[for ceiling. [7] [8]

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