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Alternatively, replace the 3n + 1 with n ′ / H(n ′) where n ′ = 3n + 1 and H(n ′) is the highest power of 2 that divides n ′ (with no remainder). The resulting function f maps from odd numbers to odd numbers. Now suppose that for some odd number n, applying this operation k times yields the number 1 (that is, f k (n) = 1).
In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players. [1]
1 ⁄ 3: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 2 ⁄ 3: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 1 ⁄ 5: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 3 ⁄ 5: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0 ...
Axiom of Maria is a precept in alchemy: "One becomes two, two becomes three, and out of the third comes the one as the fourth." [1] It is attributed to 3rd century alchemist Maria Prophetissa, also called Mary the Jewess, [2] sister of Moses, or the Copt. [3] A more detailed quote was provided by the seventh-century alchemistic author called Christianos, who cited that what Maria uttered was ...
In English writing, quotation marks or inverted commas, also known informally as quotes, talking marks, [1] [2] speech marks, [3] quote marks, quotemarks or speechmarks, are punctuation marks placed on either side of a word or phrase in order to identify it as a quotation, direct speech or a literal title or name.
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Soon after, an apparent quote from a 1998 issue of People Magazine went viral on the Internet: Credit: The Other 98% In the quote, Trump calls voters the "dumbest group of voters in the country."
[17] Moreover, the slogan "two plus two equals five", is the title of the collection of absurdist short stories Deux et deux font cinq (Two and Two Make Five, 1895), by Alphonse Allais; [1] and the title of the imagist art manifesto 2 x 2 = 5 (1920), by the poet Vadim Shershenevich. [2]