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For example, the phrase "the least number not expressible in fewer than eleven words" sounds like it should identify a unique number, but the phrase itself contains only ten words, and so the number identified by the phrase would have an expression in fewer than eleven words after all. This is known as the Berry paradox. [10]
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
In a lowest unique bid auction, the bidder who submitted the single bid of $0.06 would win the auction, and would be eligible to purchase the product or service for $0.06, because their bid was the lowest unique bid. In a highest unique bid auction, the bidder who submitted a bid of $0.09 would win the auction.
All other four-digit numbers eventually reach 6174 if leading zeros are used to keep the number of digits at 4. For numbers with three identical digits and a fourth digit that is one higher or lower (such as 2111), it is essential to treat 3-digit numbers with a leading zero; for example: 2111 – 1112 = 0999; 9990 – 999 = 8991; 9981 – 1899 ...
1.2 Looking for an equilibrium stable solution for a lowest-unique-number game. What have I done wrong?
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
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Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.