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A specification of a mathematical concept is a set of statements that are all true of the concept and that suffice for many common uses, but which do not characterize the concept. These are the main points about specifications:
Specification for sets. A set is a single math object distinct from but completely determined by what its elements are. This specification tells you the operative properties of a set rather than giving a definition in terms of previously known objects. An embarrassing difficulty. The specification just given is not a mathematical definition.
A correspondence from a set to a set is a subset of a Cartesian product ; in other words, it is a binary relation but with the specification of the ambient sets , used in the definition. D [ edit ]
2 maj 2024 · Use this glossary of over 150 math definitions for common and important terms frequently encountered in arithmetic, geometry, and statistics.
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...
Find 2,576 synonyms for specification and other similar words that you can use instead based on 20 separate contexts from our thesaurus.
Given an implication of the form $P \rightarrow Q$, the statement $\neg Q \rightarrow \neg P$ is known as its contrapositive, and is logically equivalent to the implication itself. For example: The contrapositive of “if $f (x)\ge 2$, then $f (x)^2\ge 4$” is “if $f (x)^2< 4$, then $f (x)< 2$.”.
