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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.
If separating words using spaces is also permitted, the total number of known possible meanings rises to 58. [38] Czech has the syllabic consonants [r] and [l], which can stand in for vowels. A well-known example of a sentence that does not contain a vowel is Strč prst skrz krk, meaning "stick your finger through the neck."
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]
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.
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 ...
Polysemy (/ p ə ˈ l ɪ s ɪ m i / or / ˈ p ɒ l ɪ ˌ s iː m i /; [1] [2] from Ancient Greek πολύ-(polý-) 'many' and σῆμα (sêma) 'sign') is the capacity for a sign (e.g. a symbol, a morpheme, a word, or a phrase) to have multiple related meanings. For example, a word can have several word senses. [3] Polysemy is distinct from ...
The higher the number of synonyms a word has, the higher the degree of ambiguity. [1] Like other kinds of ambiguity, semantic ambiguities are often clarified by context or by prosody. One's comprehension of a sentence in which a semantically ambiguous word is used is strongly influenced by the general structure of the sentence. [2]
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 ...
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