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Donald Knuth used a computer to study word ladders of five-letter words. He felt that three and four were too easy and six was too hard. [3] Knuth used a collection of 5,757 common English five-letter words, excluding proper nouns. He wrote a program which showed the steps connecting any two words, or noted that no connection was possible. [3]
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.
The Congress, whenever two thirds of both Houses shall deem it necessary, shall propose Amendments to this Constitution, or, on the Application of the Legislatures of two thirds of the several States, shall call a Convention for proposing Amendments, which, in either Case, shall be valid to all Intents and Purposes, as Part of this Constitution, when ratified by the Legislatures of three ...
The United States Constitution (Article 1, Section 5) [1] gives the House of Representatives the power to expel any member by a two-thirds vote. Expulsion of a Representative is rare: only six members of the House have been expelled in its history. Three of those six were expelled in 1861 for joining the Confederate States of America. [2]
This system results in "two thirds" for 2 ⁄ 3 and "fifteen thirty-seconds" for 15 ⁄ 32. This system is normally used for denominators less than 100 and for many powers of 10 . Examples include "six ten-thousandths" for 6 ⁄ 10,000 and "three hundredths" for 0.03.
A national convention, called by Congress for this purpose, on the application of the legislatures of two-thirds of the states (34 since 1959). [2] [3] This option has never been used. To become part of the Constitution, an amendment must be ratified by three-fourths of the states (38 since 1959) by either (as determined by Congress):
The lowest word count in a published weekday-size 15x15 puzzle is the June 29, 2013 The New York Times crossword by Joe Krozel, with just 50 words. [57] The fewest shaded squares in a 15x15 American crossword is 17 (leaving 208 white spaces), set by the July 27, 2012 Times crossword by Joe Krozel. [58]
In Notes from Underground (1864), by Feodor Dostoevsky, the anonymous protagonist accepts the falsehood of "two plus two equals five", and considers the implications (ontological and epistemological) of rejecting the truth of "two times two makes four", and proposed that the intellectualism of free will—Man's inherent capability to choose or ...