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projection. A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, R 2 → R , ( x , y ) ↦ x {\displaystyle \mathbb {R} ^ {2}\to \mathbb {R} , (x,y)\mapsto x} is a projection and its restriction to a graph of a function, say, is also a projection.
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
Language of mathematics. The language of mathematics or mathematical language is an extension of the natural language (for example English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proofs, logical deductions, etc.) with concision, precision and unambiguity.
English grammar is the set of structural rules of the English language.This includes the structure of words, phrases, clauses, sentences, and whole texts.. This article describes a generalized, present-day Standard English – forms of speech and writing used in public discourse, including broadcasting, education, entertainment, government, and news, over a range of registers, from formal to ...
First-order logic —also called predicate logic, predicate calculus, quantificational logic —is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables.
In terms of phrase structure rules, phrasal categories can occur to the left of the arrow while lexical categories cannot, e.g. NP → D N. Traditionally, a phrasal category should consist of two or more words, although conventions vary in this area. X-bar theory, for instance, often sees individual words corresponding to phrasal categories ...
Sentence diagram. A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which ...
References on English usage strongly criticize the phrase as "ugly" [2] and "Janus-faced". [4] William Strunk, Jr., and E.B. White, in their classic The Elements of Style–recognized by Time one of the 100 best and most influential non-fiction books written in English since 1923, [6] say and/or is "A device, or shortcut, that damages a sentence and often leads to confusion or ambiguity". [3]
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