Talk:Subbase
... A good explanation of this is at nullary intersection. So, the worst you can possibly ... correcting them. There are authors who like nullary intersections, there are authors who do not ... example of authors who "don't like nullary intersections"? To my understanding, they may emphasise the case of the nullary intersection for clarity, but I don't ... say it's incorrect to use the nullary intersection. In any case, I think ...
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Universe (mathematics)
... Similarly, we have a notion of the nullary intersection, that is the intersection of zero ... not null sets). Without a universe, the nullary intersection would be the set of absolutely ... universe in mind, we can treat the nullary intersection as the set of everything under ... the Boolean lattice; and U, as the nullary intersection, serves as the top element (or nullary meet) in the Boolean lattice. Then ...
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Empty product
... product In mathematics, an empty product, or nullary product, is the result of multiplying no ... in computer programming; these are discussed below. Nullary arithmetic product Frequent examples Two often-seen ... view is simple and will always work.) Nullary intersection For similar reasons, the intersection of ... X is conventionally equal to X. See nullary intersection for more information. Nullary categorical product In any category, the ...
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Biproduct
... condition applies, and we have for the nullary biproduct an object O such that the ... objects is simply their direct sum. The nullary biproduct is the trivial group. Biproducts exist ... is not even preadditive. Properties If a nullary biproduct exists and all binary biproducts A ... of the term "biproduct". In particular, a nullary biproduct is always a zero object. Conversely ...
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Preadditive category
... n = 0 simplifies drastically; B is a nullary biproduct iff the identity morphism of B ... the trivial ring. Note that because a nullary biproduct will be both terminal (a nullary product) and coterminal (a nullary coproduct), it will in fact be a ...
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Universal algebra
... A. Thus, a 0-ary operation (or nullary operation) can be represented simply an element ... solution is not difficult; we add a nullary operation e and a unary operation ~, in ... which should be the value of the nullary operator e. However, this is not a ... For example, if e is a constant (nullary operation), then h(e A ) = e B ...
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Arity
... with the -ary ending; for example: A nullary function takes no arguments. A unary function ... function f : S n → S. Examples Nullary Sometimes, it is useful to consider a ... of arity 0, and hence call it nullary (or sometimes anary). Unary Examples of unary ... conditional operator , taking three parameters. Other names nullary or anary means zero parameters. unary means ...
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Characterizations of the category of topological spaces
... math> cl(\varnothing) = \varnothing \! (Preservation of nullary unions) Morphisms: all closure-preserving functions, i ... math> int(X) = X \! (Preservation of nullary intersections) Morphisms: all interior-preserving functions, i ...
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Thunk
... In functional programming, a thunk is a nullary function—one that takes no arguments. Thunks are ... constantly function: (constantly 5) evaluates to a nullary function that, when called, always yields the ...
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Subbase
... U. (Note that if we use the nullary intersection convention, then there is no need ... be no confusion regarding the use of nullary intersections in the definition. However, with this ...
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