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[27] [28] Word equations, as presented here, are simply equations in free monoids. Equations in free semigroups are closely related to these; in fact, they are just word equations with the additional requirement that the solution morphism is nonerasing. One can also consider equations in free groups, although the theory of such objects differs ...
Language equations with concatenation and Boolean operations were first studied by Parikh, Chandra, Halpern and Meyer [9] who proved that the satisfiability problem for a given equation is undecidable, and that if a system of language equations has a unique solution, then that solution is recursive.
The term is used as means of asking students to write down equations using simple mathematical symbols (numerals, the four main basic mathematical operators, equality symbol). [5] Sometimes boxes or shapes are used to indicate unknown values.
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.
Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables. They also cover equations named after people, societies, mathematicians, journals, and meta-lists.
Students are introduced to the idea that an equals sign, rather than just being the answer to a question as in basic arithmetic, means that two sides are equivalent and can be manipulated together. They may also learn how numbers, variables, and words can be used in the same ways. [3]
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