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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    In number theory, the most salient property of factorials is the divisibility of ! by all positive integers up to , described more precisely for prime factors by Legendre's formula. It follows that arbitrarily large prime numbers can be found as the prime factors of the numbers n ! ± 1 {\displaystyle n!\pm 1} , leading to a proof of Euclid's ...

  3. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    The factorial number system is sometimes defined with the 0! place omitted because it is always zero (sequence A007623 in the OEIS). In this article, a factorial number representation will be flagged by a subscript "!". In addition, some examples will have digits delimited by a colon. For example, 3:4:1:0:1:0! stands for

  4. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    In mathematics, the falling factorial (sometimes called the descending factorial, [1] falling sequential product, or lower factorial) is defined as the polynomial ...

  5. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    2.4 Modified-factorial denominators. 2.5 Binomial coefficients. 2.6 Harmonic numbers. 3 Binomial coefficients. 4 Trigonometric functions. 5 Rational functions. 6 ...

  6. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    This gives the digits of π in base b up to N digits past the radix point.) Formulae yielding ... is the rising factorial) [10] = + (+) (+) = ...

  7. Savings interest rates today: Why earn pennies when you ... - AOL

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    The best high-yield savings accounts are currently offering annual percentage yields (APYs) of up to 5.00% — over 10 times the national average for traditional savings accounts. By keeping your ...

  8. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [1] That is, n ! ! = ∏ k = 0 ⌈ n 2 ⌉ − 1 ( n − 2 k ) = n ( n − 2 ) ( n − 4 ) ⋯ . {\displaystyle n!!=\prod _{k=0}^{\left\lceil {\frac {n}{2}}\right\rceil -1}(n-2k ...

  9. Mortgage and refinance rates for Dec. 9, 2024: Average rates ...

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    The jobs report also showed upward revisions for previous months, with September payrolls revised up by 32,000 to 255,000 and October revised up by 24,000. The unemployment rate edged up ...

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