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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    If exponentiation is considered as a multivalued function then the possible values of (−1 ⋅ −1) 1/2 are {1, −1}. The identity holds, but saying {1} = {(−1 ⋅ −1) 1/2 } is incorrect. The identity ( e x ) y = e xy holds for real numbers x and y , but assuming its truth for complex numbers leads to the following paradox , discovered ...

  3. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n 4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.

  4. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

  5. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...

  6. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Power(x, −n) = Power(x −1, n), Power(x, −n) = (Power(x, n)) −1. The approach also works in non-commutative semigroups and is often used to compute powers of matrices. More generally, the approach works with positive integer exponents in every magma for which the binary operation is power associative.

  7. Kindergartener injured in Northern California school shooting ...

    www.aol.com/kindergartener-injured-northern...

    PALERMO — One of the two kindergarteners injured in a Northern California school shooting in early December may not regain the use of his legs, the family told CBS Sacramento on Thursday.

  8. Russia tells its citizens: avoid travel to the West - AOL

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    MOSCOW (Reuters) -Russia said on Wednesday that relations with Washington were so confrontational that Russian citizens should not visit the United States, Canada and some EU countries in coming ...

  9. 1,200 readers told us what they regret about investing for ...

    www.aol.com/news/1-200-baby-boomers-told...

    Gary Lee Hayes, 70, wished he'd been more regimented with his savings and investments.The California resident briefly served in the Navy, got a degree in public administration, and worked in ...

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