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2. Van der Corput's method - Wikipedia

   en.wikipedia.org/wiki/Van_der_Corput's_method

   The method of exponent pairs gives a class of estimates for functions with a particular smoothness property. Fix parameters N , R , T , s ,δ. We consider functions f defined on an interval [ N ,2 N ] which are R times continuously differentiable , satisfying

3. Legendre's formula - Wikipedia

   en.wikipedia.org/wiki/Legendre's_formula

   As one special case, it can be used to prove that if n is a positive integer then 4 divides () if and only if n is not a power of 2. It follows from Legendre's formula that the p -adic exponential function has radius of convergence p − 1 / ( p − 1 ) {\displaystyle p^{-1/(p-1)}} .

4. Knuth's up-arrow notation - Wikipedia

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

   The sequence starts with a unary operation (the successor function with n = 0), and continues with the binary operations of addition (n = 1), multiplication (n = 2), exponentiation (n = 3), tetration (n = 4), pentation (n = 5), etc. Various notations have been used to represent hyperoperations.

5. Proof of Fermat's Last Theorem for specific exponents

   en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

   Since u 2 + 3v 2 is odd, so is s. A crucial lemma shows that if s is odd and if it satisfies an equation s 3 = u 2 + 3v 2, then it can be written in terms of two integers e and f. s = e 2 + 3f 2. so that u = e(e 2 − 9f 2) v = 3f(e 2 − f 2) u and v are coprime, so e and f must be coprime, too. Since u is even and v odd, e is even and f is ...

6. Exponentiation - Wikipedia

   en.wikipedia.org/wiki/Exponentiation

   The binary number system expresses any number as a sum of powers of 2, and denotes it as a sequence of 0 and 1, separated by a binary point, where 1 indicates a power of 2 that appears in the sum; the exponent is determined by the place of this 1: the nonnegative exponents are the rank of the 1 on the left of the point (starting from 0), and ...

7. These 89 Appetizers Might Just Be The Best Part Of ... - AOL

   www.aol.com/89-appetizers-might-just-best...

   Speaking of dip, feel free to go easy and put out some bread, veggies, and crackers with a simple homemade option, like our cranberry whipped feta dip, our caramelized onion dip, our muhammara, or ...

8. Today's Wordle Hint, Answer for #1260 on Saturday, November ...

   www.aol.com/todays-wordle-hint-answer-1260...

   SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times. Today's Wordle Answer for #1260 on Saturday, November 30, 2024.

9. Exponentiation by squaring - Wikipedia

   en.wikipedia.org/wiki/Exponentiation_by_squaring

   x 1 = x; x 2 = x 2 for i = k - 2 to 0 do if n i = 0 then x 2 = x 1 * x 2; x 1 = x 1 2 else x 1 = x 1 * x 2; x 2 = x 2 2 return x 1. The algorithm performs a fixed sequence of operations (up to log n): a multiplication and squaring takes place for each bit in the exponent, regardless of the bit's specific value. A similar algorithm for ...