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  2. Affine cipher - Wikipedia

    en.wikipedia.org/wiki/Affine_cipher

    The possible values that a could be are 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, and 25. The value for b can be arbitrary as long as a does not equal 1 since this is the shift of the cipher. Thus, the encryption function for this example will be y = E(x) = (5x + 8) mod 26. The first step in encrypting the message is to write the numeric values of ...

  3. Proofs of Fermat's little theorem - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_Fermat's_little...

    Some of the proofs of Fermat's little theorem given below depend on two simplifications.. The first is that we may assume that a is in the range 0 ≤ a ≤ p − 1.This is a simple consequence of the laws of modular arithmetic; we are simply saying that we may first reduce a modulo p.

  4. Microsoft campus - Wikipedia

    en.wikipedia.org/wiki/Microsoft_campus

    Building 92, home to the Microsoft Visitor Center One of the two treehouses built by Pete Nelson, near Building 31. In September 2015, The Seattle Times reported that Microsoft had hired architecture firm Skidmore, Owings & Merrill to begin a multibillion-dollar redesign of the Redmond campus, using an additional 1.4 million square feet (130,000 m 2) permitted by an agreement with the City of ...

  5. Nicotine - Wikipedia

    en.wikipedia.org/wiki/Nicotine

    Anabasine is a structural isomer of nicotine, as both compounds have the molecular formula C 10 H 14 N 2. Nicotine that is found in natural tobacco is primarily (99%) the S-enantiomer. [ 167 ] Conversely, the most common chemistry synthetic methods for generating nicotine yields a product that is approximately equal proportions of the S- and R ...

  6. Dodecagonal number - Wikipedia

    en.wikipedia.org/wiki/Dodecagonal_number

    Download as PDF; Printable version; ... The dodecagonal number for n is given by the formula ... is the sum of the first n natural numbers congruent to 1 mod 10.

  7. Pisano period - Wikipedia

    en.wikipedia.org/wiki/Pisano_period

    Download as PDF; Printable version; ... then Binet's formula is instead defined over the quadratic extension field ... k 2 + 4 is congruent to 1 mod 2 ...

  8. Formula One tyres - Wikipedia

    en.wikipedia.org/wiki/Formula_One_tyres

    As Formula One wheel rim diameter size will switch from 13 to 18 in (330 to 457 mm), the tyre diameter of 2022-spec Pirelli Formula One tyres will also be altered, from 670 to 720 mm (26.4 to 28.3 in), while the tread width of 2022-spec Pirelli Formula One tyres are expected to be unchanged.

  9. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    Download as PDF; Printable version ... but no simple general formula for finding ... the multiplicative inverse of a modulo n is an integer x satisfying ax ≡ 1 (mod n).