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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.
An antonym is one of a pair of words with opposite meanings. Each word in the pair is the antithesis of the other. A word may have more than one antonym. There are three categories of antonyms identified by the nature of the relationship between the opposed meanings.
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]
Moreover, writing in mathematics classes helps students problem solve and improve mathematical reasoning. When students know how to use mathematical reasoning, they are less anxious about solving problems. Children learn best when math is taught in a way that is relevant to their everyday lives. Children enjoy experimenting.
A contronym is a word with two opposite meanings. For example, the word original can mean "authentic, traditional", or "novel, never done before". This feature is also called enantiosemy , [ 1 ] [ 2 ] enantionymy ( enantio- means "opposite"), antilogy or autoantonymy .
A malapropism (/ ˈ m æ l ə p r ɒ p ɪ z əm /; also called a malaprop, acyrologia or Dogberryism) is the incorrect use of a word in place of a word with a similar sound, either unintentionally or for comedic effect, resulting in a nonsensical, often humorous utterance.
The word theory in "the theory of evolution" does not imply scientific doubt regarding its validity; the concepts of theory and hypothesis have specific meanings in a scientific context. While theory in colloquial usage may denote a hunch or conjecture, a scientific theory is a set of principles that explains an observable phenomenon in natural ...
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 ...