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Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
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The word problem is a well-known example of an undecidable problem. If A {\displaystyle A} is a finite set of generators for G {\displaystyle G} , then the word problem is the membership problem for the formal language of all words in A {\displaystyle A} and a formal set of inverses that map to the identity under the natural map from the free ...
Get ready for all of today's NYT 'Connections’ hints and answers for #588 on Sunday, January 19, 2025. Today's NYT Connections puzzle for Sunday, January 19, 2025 The New York Times
According to the winter edition of the Portrait of American Travelers report from MMGY, almost eight in 10 American adults planned to take a vacation over the next year, a 7% increase from the ...
OK, that's it for hints—I don't want to totally give it away before revealing the answer! Related: 16 Games Like Wordle To Give You Your Word Game Fix More Than Once Every 24 Hours
Note that this word problem is equivalent to the arithmetic problem of adding all numbers from 1 through 100. Alcuin's solution is to note that there are 100 pigeons in total on the first and 99th steps combined, 100 more on the second and 98th combined, and so on for all the pairs of steps, except the 50th and 100th.