In mathematical writing, the adjective strict is used to modify technical terms which have multiple meanings. It indicates that the exclusive meaning of the term is to be understood. (More formally, one could say that this is the meaning which implies the other meanings.) The opposite is non-strict. This is often implicit but can be put explicitly for clarity. In some contexts the word "proper" is used as a mathematical synonym for "strict".
This term is commonly used in the context of inequalities — the phrase "strictly less than" means "less than and not equal to" (likewise "strictly greater than" means "greater than and not equal to"). More generally a strict partial order, strict total order and strict weak order exclude equality and equivalence
A related use occurs when comparing numbers to zero — "strictly positive" and "strictly negative" mean "positive and not equal to zero" and "negative and not equal to zero", respectively. Also, in the context of functions, the adverb "strictly" is used to modify the terms "monotonic", "increasing", and "decreasing".
The term strict refers to relational operators in mathematics.
Strict may also refer to:
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