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2. Word problem (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics)

   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]

3. Partitive case - Wikipedia

   en.wikipedia.org/wiki/Partitive_case

   The partitive case (abbreviated PTV, PRTV, or more ambiguously PART) is a grammatical case which denotes "partialness", "without result", or "without specific identity". It is also used in contexts where a subgroup is selected from a larger group, or with numbers.

4. Partitive - Wikipedia

   en.wikipedia.org/wiki/Partitive

   In linguistics, the partitive is a word, phrase, or case that indicates partialness. Nominal partitives are syntactic constructions, such as "some of the children", and may be classified semantically as either set partitives or entity partitives based on the quantifier and the type of embedded noun used.

5. Word problem for groups - Wikipedia

   en.wikipedia.org/wiki/Word_problem_for_groups

   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 ...

6. 17-animal inheritance puzzle - Wikipedia

   en.wikipedia.org/wiki/17-animal_inheritance_puzzle

   17 indivisible camels. The 17-animal inheritance puzzle is a mathematical puzzle involving unequal but fair allocation of indivisible goods, usually stated in terms of inheritance of a number of large animals (17 camels, 17 horses, 17 elephants, etc.) which must be divided in some stated proportion among a number of beneficiaries.

7. Word problem (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics...

   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.

8. Proportion (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Proportion_(mathematics)

   A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means. Proportion can be written as =, where ratios are expressed as fractions.

9. List of undecidable problems - Wikipedia

   en.wikipedia.org/wiki/List_of_undecidable_problems

   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.