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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.
Usage. Misconception: Paragraphs must be at least three sentences long. Richard Nordquist writes, "no rule exists regarding the number of sentences that make up a paragraph", noting that professional writers use "paragraphs as short as a single word". [29] According to the Oxford Guide to Plain English:
In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well. A deep result of computational theory is that answering this question is in many ...
Semantics is the study of linguistic meaning. It examines what meaning is, how words get their meaning, and how the meaning of a complex expression depends on its parts. Part of this process involves the distinction between sense and reference. Sense is given by the ideas and concepts associated with an expression while reference is the object ...
Truth or verity is the property of being in accord with fact or reality. [ 1] In everyday language, it is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences. [ 2]
The English word "translation" derives from the Latin word translatio, [6] which comes from trans, "across" + ferre, "to carry" or "to bring" (-latio in turn coming from latus, the past participle of ferre). Thus translatio is "a carrying across" or "a bringing across"—in this case, of a text from one language to another. [7]
Algebra. Elementary algebra studies which values solve equations formed using arithmetical operations. Abstract algebra studies algebraic structures, like the ring of integers given by the set of integers together with operations of addition ( ) and multiplication ( ). Algebra is the branch of mathematics that studies algebraic structures and ...
Rewriting. In mathematics, computer science, and logic, rewriting covers a wide range of methods of replacing subterms of a formula with other terms. Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines, [1] [2] or reduction systems ). In their most basic form, they consist of a set of objects, plus ...
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