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Extraneous and missing solutions. In mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it. [1] A missing solution is a valid one which is lost during the solution process. Both situations frequently result from performing operations that are not ...
Plot. Betty receives an invitation to a party from her elderly relative, Grampy. As she strolls along singing "I'm On My Way to Grampy's", she is joined by two moving men, a fireman and a traffic cop—all who irresponsibly drop everything (including a piano, a burning house and a traffic jam) to go to Grampy's party.
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if. φ. where the Greek letter phi ( or ) denotes the golden ratio.
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Grampy is an ever-cheerful and energetic senior citizen with a bald, dome-shaped head, white beard, and black nose (depicted with a red nose in color productions). One author speculates that the character's design may suggest he is Ko-Ko the Clown in retirement. [1] His primary activities include singing, dancing and building Rube Goldberg ...
In mathematics, the greedy algorithm for Egyptian fractions is a greedy algorithm, first described by Fibonacci, for transforming rational numbers into Egyptian fractions. An Egyptian fraction is a representation of an irreducible fraction as a sum of distinct unit fractions, such as 5 6 = 1 2 + 1 3. As the name indicates, these representations ...
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator ( b) cannot be zero. Examples include 1 2, − 8 5, −8 5, and 8 −5.
Clearing denominators. In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions .