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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The limit of e 1/n is e 0 = 1 when n tends to the infinity. Since any irrational number can be expressed as the limit of a sequence of rational numbers, exponentiation of a positive real number b with an arbitrary real exponent x can be defined by continuity with the rule [ 28 ]

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  4. Euler's totient function - Wikipedia

    en.wikipedia.org/wiki/Euler's_totient_function

    In the graph at right the top line y = n1 is an upper bound valid for all n other than one, and attained if and only if n is a prime number. A simple lower bound is φ ( n ) ≥ n / 2 {\displaystyle \varphi (n)\geq {\sqrt {n/2}}} , which is rather loose: in fact, the lower limit of the graph is proportional to ⁠ n / log log n ⁠ .

  5. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value

  6. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    Visualization of powers of two from 1 to 1024 (2 0 to 2 10) as base-2 Dienes blocks. A power of two is a number of the form 2 n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

  7. A woman bypassed multiple security checkpoints to get on a ...

    www.aol.com/woman-bypassed-multiple-security...

    Investigators are trying to determine how a woman got past multiple security checkpoints this week at New York’s JFK International Airport and boarded a plane to Paris, apparently hiding in the ...

  8. Zero to the power of zero - Wikipedia

    en.wikipedia.org/wiki/Zero_to_the_power_of_zero

    Zero to the power of zero, denoted as 0 0, is a mathematical expression that can take different values depending on the context. In certain areas of mathematics, such as combinatorics and algebra, 0 0 is conventionally defined as 1 because this assignment simplifies many formulas and ensures consistency in operations involving exponents.

  9. 5-plus feet of snow and counting: More snow is coming to the ...

    www.aol.com/5-plus-feet-snow-counting-163346944.html

    December 3, 2024 at 1:05 AM. It’s still snowing in the Great Lakes after more than 5 feet fell over the holiday weekend and snarled travel, stranded motorists and buried homes. A short-lived ...