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In chess swap problems, the whites pieces swap with the black pieces. [9] This is done with the pieces' normal legal moves during a game, but alternating turns is not required. For example, a white knight can move twice in a row. Capturing pieces is not allowed. Two such problems are shown below.
Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in The Lady's and Gentleman's Diary (pg.48). The problem states: Fifteen young ladies in a school walk out three abreast for seven days in succession: it is required to arrange them daily so that no two shall walk twice abreast. [2]
The double "is", also known as the double copula, reduplicative copula, or Is-is, [1] [2] is the usage of the word "is" twice in a row (repeated copulae) when only one is necessary. Double is appears largely in spoken English, as in this example: My point is, is that...
An example of the gambler's fallacy occurred in a game of roulette at the Monte Carlo Casino on August 18, 1913, when the ball fell in black 26 times in a row. This was an extremely unlikely occurrence: the probability of a sequence of either red or black occurring 26 times in a row is ( 18 / 37 ) 26-1 or around 1 in 66.6 million ...
The row containing this element is multiplied by its reciprocal to change this element to 1, and then multiples of the row are added to the other rows to change the other entries in the column to 0. The result is that, if the pivot element is in a row r, then the column becomes the r-th column of the identity matrix
To describe the strategy, not only the prisoners, but also the drawers, are numbered from 1 to 100; for example, row by row starting with the top left drawer. The strategy is now as follows: [3] Each prisoner first opens the drawer labeled with their own number. If this drawer contains their number, they are done and were successful.
Atlas Coffee Club is a great example of this — every month, they pick a region and ship beans, packaged in colorful bags decorated with the country’s name and an info card about the brew.
Arrangements of Conway's soldiers to reach rows 1, 2, 3 and 4. The soldiers marked "B" represent an alternative to those marked "A". Conway's Soldiers or the checker-jumping problem is a one-person mathematical game or puzzle devised and analyzed by mathematician John Horton Conway in 1961.