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In mathematical writing, the term strict refers to the property of excluding equality and equivalence [1] and often occurs in the context of inequality and monotonic functions. [2] It is often attached to a technical term to indicate that the exclusive meaning of the term is to be understood.
Although such behaviour is typically meant to make the language easier, it can lead to surprising and difficult to predict consequences that many programmers are unaware of. For example, Javascript's loose equality rules can cause equality to be intransitive (ie. a == b and b == c, but a != c), or make certain values be equal to their own negation.
Functions having more than one parameter can be strict or non-strict in each parameter independently, as well as jointly strict in several parameters simultaneously. As an example, the if-then-else expression of many programming languages, called ?: in languages inspired by C, may be thought of as a function of three parameters.
A strict programming language is a programming language that only allows strict functions (functions whose parameters must be evaluated completely before they may be called) to be defined by the user. A non-strict programming language allows the user to define non-strict functions, and hence may allow lazy evaluation.
To investigate the left distributivity of set subtraction over unions or intersections, consider how the sets involved in (both of) De Morgan's laws are all related: () = = () always holds (the equalities on the left and right are De Morgan's laws) but equality is not guaranteed in general (that is, the containment might be strict). Equality ...
In simple cases this is identical to usual function calls; for example, addition x + y is generally equivalent to a function call add(x, y) and less-than comparison x < y to lt(x, y), meaning that the arguments are evaluated in their usual way, then some function is evaluated and the result is returned as a value. However, the semantics can be ...
Eight members of the OPEC+ alliance of oil exporting countries decided Thursday to put off increasing oil production as they face weaker than expected demand and competing production from non ...
If the inequality is strict (a < b, a > b) and the function is strictly monotonic, then the inequality remains strict. If only one of these conditions is strict, then the resultant inequality is non-strict. In fact, the rules for additive and multiplicative inverses are both examples of applying a strictly monotonically decreasing function.