Editing Language of mathematics (section)

==Features==
The main features of the mathematical language are the following.
* Use of common words with a derived meaning, generally more specific and more precise. For example, "[[or (logic)|or]]" means "one, the other or both", while, in common language, "both" is sometimes included and sometimes not. Also, a "[[line (mathematics)|line]]" is straight and has zero width.
* Use of common words with a meaning that is completely different from their common meaning. For example, a mathematical [[ring (mathematics)|ring]] is not related to any other meaning of "ring". [[Real number]]s and [[imaginary number]]s are two sorts of numbers, none being more real or more imaginary than the others.
* Use of [[neologism]]s. For example [[polynomial]], [[homomorphism]].
* Use of [[symbol (mathematics)|symbol]]s as words or phrases. For example, <math>A=B</math> and <math>\forall x</math> are respectively read as "<math>A</math> equals <math>B</math>" and {{nowrap|"for all <math>x</math>".}}
* Use of [[formula]]s as part of sentences. For example: "{{tmath|1=E=mc^2}}''represents quantitatively the [[mass–energy equivalence]].''" A formula that is not included in a sentence is generally meaningless, since the meaning of the symbols may depend on the context: in "{{tmath|1=E=mc^2\,}}", this is the context that specifies that {{mvar|E}} is the [[energy]] of a [[physical body]], {{mvar|m}} is its [[mass]], and {{mvar|c}} is the [[speed of light]].
* Use of phrases that cannot be decomposed into their components. In particular, adjectives do not always restrict the meaning of the corresponding noun, and may change the meaning completely. For example, most [[algebraic integer]]s are not [[integer]]s and integers are specific algebraic integers. So, an ''algebraic integer'' is not an ''integer'' that is ''algebraic''.
* Use of [[mathematical jargon]] that consists of phrases that are used for informal explanations or shorthands. For example, "killing" is often used in place of "replacing with zero", and this led to the use of ''[[associated prime|assassinator]]'' and ''[[annihilator (ring theory)|annihilator]]'' as technical words.