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A theorem, result, or condition is further called stronger than another one if a proof of the second can be easily obtained from the first but not conversely. An example is the sequence of theorems: Fermat's little theorem , Euler's theorem , Lagrange's theorem , each of which is stronger than the last; another is that a sharp upper bound (see ...
The statement " is non-negative for arbitrarily large ." is a shorthand for: "For every real number , () is non-negative for some value of greater than .". In the common parlance, the term "arbitrarily long" is often used in the context of sequence of numbers.
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The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser , in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall .
However, according to Claudia Zaslavsky's book Tic Tac Toe: And Other Three-In-A Row Games from Ancient Egypt to the Modern Computer, Tic-tac-toe could be traced back to ancient Egypt. [6] [7] Another closely related ancient game is three men's morris, which is also played on a simple grid and requires three pieces in a row to finish. [8]
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Omarion Hampton posted career highs of 35 carries for 244 yards with a key late touchdown that helped North Carolina beat Wake Forest 31-24 on Saturday night, pushing the Tar Heels to bowl ...