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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 proof is difficult to follow but marks a turning point in the word problem for groups. [3]: 342 1955 (): Pyotr Novikov gives the first published proof that the word problem for groups is unsolvable, using Turing's cancellation semigroup result. [17] [3]: 354 The proof contains a "Principal Lemma" equivalent to Britton's Lemma.
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
B. 3 + 3 + 8 = 14. In case 'A', there is no 'eldest child': two children are aged six (although one could be a few minutes or around 9 to 12 months older and they still both be 6). Therefore, when told that one child is the eldest, the census-taker concludes that the correct solution is 'B'. [3]
From June 2009 to December 2012, if you bought shares in companies when Alfred F. Kelly, Jr. joined the board, and sold them when he left, you would have a 12.1 percent return on your investment, compared to a 59.3 percent return from the S&P 500.
How to Have More Energy: 7 Tips. This article was reviewed by Craig Primack, MD, FACP, FAAP, FOMA. Life can get incredibly busy, and keeping up often hinges on having enough energy.
USA TODAY Sports. NFL Week 16 winners, losers: Vikings have path to NFC's No. 1 seed. Weather. Weather. Fox Weather. Winter storms with rain, snow could snarl holiday trips for millions during ...
DJT also reported revenue of $1.01 million, a slight year-over-year drop compared to the $1.07 million it reported in the third quarter of 2023. Over the past nine months ending Sept. 30, revenue ...
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