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For instance, if the one solving the math word problem has a limited understanding of the language (English, Spanish, etc.) they are more likely to not understand what the problem is even asking. In Example 1 (above), if one does not comprehend the definition of the word "spent," they will misunderstand the entire purpose of the word problem.
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]
Then the word problem in is solvable: given two words , in the generators of , write them as words in and compare them using the solution to the word problem in . It is easy to think that this demonstrates a uniform solution of the word problem for the class K {\displaystyle K} (say) of finitely generated groups that can be embedded in G ...
A workbook developed by Joshua Farley, Jon Erickson, and Herman Daly organizes the problem-solving process into (1) building the problem base, (2) analyzing the problem, (3) synthesizing the findings, and (4) communicating the results. Building the problem base includes choosing, defining, and structuring an ecological economic problem.
Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element ...
A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless A module is called torsionless if it embeds into its algebraic dual. Simple A simple module S is a module that is not {0} and whose only submodules are {0} and S. Simple modules are sometimes called irreducible. [5 ...
In India, the United Kingdom, Australia and Singapore, as well as parts of Canada, the word "unit" or "module" would be used to refer to an academic course as used in North America and the rest of Europe. In the Philippines, a course can be an individual subject (usually referred to by faculty and school officials) or the entire programme ...
Now he can take the cabbage (or the wolf) over, and finally return to fetch the goat. An animation of the solution. His actions in the solution are summarized in the following steps: Take the goat over; Return empty-handed; Take the wolf or cabbage over; Return with the goat; Take whichever wasn't taken in step 3 over; Return empty-handed; Take ...
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