Examples of using Empty set in English and their translations into Serbian
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Colloquial
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Ecclesiastic
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Computer
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Latin
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Cyrillic
The empty set is open.
Constructs a new, empty set.
The empty set has measure zero.
Also known as the empty set.
The empty set is finite.
Yeah, but what if the empty set is the answer.
If a set has no elements,it's called an empty set.
For any set A, the empty set is a subset of A.
This has two fixed-points for before(2),{i} and the empty set.
The only subset of the empty set is the empty set itself.
For any set A, the union of A with the empty set is A.
Of A and the empty set is empty: .
Maybe we could put an empty set like that, two brackets with nothing in it.
If a set does not contain any element, then it is called an empty set.
Initializing with the empty set is an optimistic initialization: all variables start out as dead.
For any set A,the cartesian product of A and the empty set is empty: .
Since the in-state starts as the empty set, it can only grow in further iterations.
We can extend this schema to include n=0 if we interpret that case as the axiom of empty set.
In mathematics andmore specifically set theory, the empty set is the unique set which contains no elements.
The set of natural numbers N is defined as the intersection of all sets closed under s that contain the empty set.
Axiom of infinity: There exists a set X such that the empty set is a member of X and whenever y is in X, so is S(y).
Leibniz enunciated the principal properties of what we now call conjunction, disjunction, negation, identity,set inclusion, and the empty set.
Normally, however, one uses the axioms of empty set and pairing separately, and then proves this as a theorem schema.
Considered as a subset of the real number line(or more generally any topological space), the empty set is both closed and open.
The empty set is important in Minkowski addition, because the empty set annihilates every other subset: For every subset Template: Mvar of a vector space, its sum with the empty set is empty: S+∅=∅.
Hyperarithmetical theory studies those sets that can be computed from a computable ordinal number of iterates of the Turing jump of the empty set.
The empty literal{} results in an empty dictionary rather than an empty set, which is instead created using the non-literal constructor: set(). .
In mathematical logic,the deduction theorem states that if a formula F is deducible from E then the implication E→ F is demonstrable(i.e. it is"deducible" from the empty set).
You can now replace the type arguments required to invoke the constructor of a generic class with an empty set of type parameters() as long as the compiler can infer the type arguments from the context.