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2. 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 ...

3. 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 ...

4. Knuth's up-arrow notation - Wikipedia

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

   In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.

5. Outline of arithmetic - Wikipedia

   en.wikipedia.org/wiki/Outline_of_arithmetic

   Square root – Reversal of a power of 2 (exponent of 1/2) Cube root – Reversal of a power of 3 (exponent of 1/3) Properties of Operations Associative property; Distributive property; Commutative property; Factorial – Multiplication of numbers from the current number to 0

6. List of integer sequences - Wikipedia

   en.wikipedia.org/wiki/List_of_integer_sequences

   Download as PDF; Printable version; In other projects ... The number of free polyominoes with n cells. ... n! = 1⋅2⋅3⋅4⋅ ⋯ ...

7. AOL Mail

   mail.aol.com

   Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

8. 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 ...

9. Template:2/3 - Wikipedia

   en.wikipedia.org/wiki/Template:2/3

   Bake for 1 ⁄ 2 hour. without requiring the use of bulky HTML markup. Please note that these templates do not handle preceding integers (or succeeding units) and the spacing in between, use {} for that: Bake for {{frac|2|1|2}} hours. Bake for 2 + 1 ⁄ 2 hours. As with {}, these templates should not be used in science or mathematical articles.