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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]
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.
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 ...
Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics. A prominent example is Fermat's Last Theorem . This conjecture was stated in 1637 by Pierre de Fermat, but it was proved only in 1994 by Andrew Wiles , who used tools including scheme theory from algebraic geometry , category ...
The key to the solution is realizing that one can bring things back (emphasized above). This is often unclear from the wording of the story, but never forbidden. Knowing this will make the problem easy to solve even by small children. The focus of the puzzle is not just task scheduling, but creative thinking, similarly to the Nine dots puzzle.
Equivalent to a high C in the old grading system. This is generally considered to be the preferred minimum grade to enter Level 3 courses. 4: Equivalent to a low C in the old grading system. This is generally considered the absolute minimum grade to enter Level 3 courses. 3: D: The English 3 is equivalent to a D to a high E in the old grading ...
The word Bangāl became the most common name for the region during the Islamic period. [ 24 ] 16th-century historian Abu'l-Fazl ibn Mubarak mentions in his Ain-i-Akbari that the addition of the suffix "al" came from the fact that the ancient rajahs of the land raised mounds of earth in lowlands at the foot of the hills which were called "al ...
A computer program is a sequence or set [a] of instructions in a programming language for a computer to execute.It is one component of software, which also includes documentation and other intangible components.