Примеры использования Empty set на Английском языке и их переводы на Русский язык
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LIMIT 0 quickly returns an empty set.
Thus, the empty set is abstract because it cannot act on other objects.
An empty box represents the empty set.
Why SELECT from 2 tables returns empty set while there is a row in table t1?
We can use the axiom of extensionality to show that there is only one empty set.
If the new access right element has empty set of access rights, the element is removed.
In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or a line.
The empty set contains zero groups of two, and no object is left over from this grouping, so zero is even.
Direct derivability is a relation between a sentence and a finite,possibly empty set of sentences.
The Hosoya index is always at least one, because the empty set of edges is counted as a matching for this purpose.
A subset U that creates at least|U|odd components can always be found in the empty set.
For a vector space V, the empty set, the space V, and any linear subspace of V are convex cones.
Zero is the count of no objects; in more formal terms,it is the number of objects in the empty set.
Since both the body and the empty set are incident with all other elements, the first row and column as well as the last row and column are trivial and can conveniently be omitted.
The category Set(sets with functions as morphisms) does not have a zero object, butit does have an initial object, the empty set∅.
It follows from this definition that every set is disjoint from the empty set, and that the empty set is the only set that is disjoint from itself.
In the first stage of construction,there are no previously existing numbers so the only representation must use the empty set:{|.
The whole polytope is the unique maximum element of the lattice, and the empty set, considered to be a(-1)-dimensional face(a null polytope) of every polytope, is the unique minimum element of the lattice.
Without this axiom, the theory could be modeled by the one-dimensional real line, a single point,or even the empty set.
Construction Rule A form{ L| R} is numeric if the intersection of L andR is the empty set and each element of R is greater than every element of L, according to the order relation≤ given by the comparison rule below.
Two sets A and B are disjoint if and only if their intersection A∩ B{\displaystyle A\cap B}is the empty set.
For every set X there is exactly one function from the empty set to X(there are no values of this function to specify), which is always injective, but never surjective unless X is(also) empty. .
The elements of an abstract polyhedron are its body(the maximal element), its faces, edges, vertices andthe null polytope or empty set.
Note that this definition also includes as faces the empty set and the whole polytope P. If P itself has dimension d, the faces of P with dimension d- 1 are called facets of P and the faces with dimension d- 2 are called ridges.
A box containing only an empty box represents the set containing only the empty set, and so forth.
The faces of P may be partially ordered by inclusion, forming a face lattice that has as its topelement P itself and as its bottom element the empty set.
The power set 2 X{\displaystyle 2^{X}\,\!} is the set of all subsets of X, including the empty set∅{\displaystyle\emptyset.
A trivial theorem may be a result that can be derived in an obvious and straightforward way from other known results, orwhich applies only to a specific set of particular objects such as the empty set.
If T is an unrooted binary tree, it defines a hierarchical clustering of its leaves: for each edge(u, v) in T there is a cluster consisting of the leaves that are closer to u than to v, andthese sets together with the empty set and the set of all leaves form a maximal non-crossing family.
This relation is understood in a comprehensive sense such that the primitive sentences of the formal system are taken as directly derivable from the empty set of sentences.