| 词汇 | example_english_empty-set |
| 释义 | Examples of empty setThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Should + be used to distribute a function over an emptyset of solutions, the result, too, should be empty. If the assignment would cause a conflict with an already-assigned variable, the cache entry contains a conflict set; otherwise, it contains the emptyset. The idea is to iteratively compute, starting with the emptyset, the intersection of the extensions which are compatible with the information obtained so far. Computation of this set begins with the emptyset; predicate statements are added to the set as proofs for their inclusion are found. We emphasise that an empty slice is a valid slice, having no conclusions, and the emptyset of slices is a valid net. It also lacks a lower bound, because the emptyset is not a decomposition. Each sensible graph model interprets all the closed unsolvable terms by the emptyset. The emptyset is not large because an orbit is by definition not empty. Ignoring representation details for the moment, assume there is some representation of the emptyset. Though it may be reasonable to interpret the completely undefined set as empty, it seems less intuitive that the emptyset should be considered undefined. Accordingly, it would be unwise for a political theorist to dismiss the category of "unintentional restrictions of freedom" as an emptyset. They each simply correspond to a different kind of set (emptyset, singleton set, or set of cardinality 2 or more). More precisely, when an address becomes unreachable, the set of values associated with it is reset to the emptyset. Possibly some of the tuples in this form may be discarded because one or more of their parts may be the emptyset. For a countably based space, choose a countable base containing the emptyset and the whole set. Now consider the case when the procedure false returns the emptyset. The role of is to reduce the solid to an emptyset in such cases. The rightmost set comprehension is just the emptyset, and therefore the function override has no effect. Thus, the most precise type for nil is list(0) where the type 0 denotes the emptyset of terms. One searchable labeling is given by annotating each node with its earliest conflict set if it has one, and with the emptyset otherwise. A set is decidable if it contains an element, or if the assumption of an element would yield an element of the emptyset. At last, and are the common symbols of the subset relation and the emptyset. Moreover, the information about a2 that was linked to the emptyset has gone as well. The tensor is the disjoint union and the dualising object is the emptyset. The 0 formula is evaluated by testing whether the subject is the empty tree, and returning either the trivial singleton 16 or the emptyset. Then since dec-ptrs is not called, dom(p) must be the emptyset. This instance represents a generalized set, where true represents the set that everything is a member of and false is the emptyset. However, we would like to identify with the greatest element all sequences that contain as an element the emptyset. It is easy to see that it has the emptyset as its only answer set. Of course, to do this we need to take not just a graph and a hypergraph, but also a set of vertices (and, to be strictly correct, the emptyset). The set of arcs is initialized to the emptyset (lines 4) and the stack is initialized to a stack that contains a fake node user/0 (line 5). As new facts are asserted or removed it derives (a possibly emptyset of) additional inferences or retracts (a possibly empty set of) previously inferred facts. Note also that we do not follow the common convention of excluding the emptyset (though there is no constructive problem in doing so if that is what is required). For a decidable positivity predicate the property of positivity becomes trivial, as it follows directly from monotonicity that non-positive elements are covered by the emptyset. Finally, a parameterised emptyset, such as constraints. Note that + can be an emptyset. So is the 'real', bilaterally emptyset. For example, 1 is the least element of the positive integers and the emptyset is the least set under the subset order. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The elements of an abstract polyhedron are its body (the maximal element), its faces, edges, vertices and the "null polytope" or emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The symbol for the null or emptyset is either or. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The emptyset is the initial object of this category, and is the terminal object. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is called the "emptyset" (denoted by or). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, the set of all three-sided squares has zero members and thus is the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Similarly, is the th jump of the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note the difference between the statements such a set does not exist and it is an emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The alphabet is a set, so as one would expect, the emptyset is a subset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note that the emptyset is a face of every simplex. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A space is indiscrete if the only open sets are the emptyset and itself. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since the emptyset has measure 0, one can believe that every bounded function is essentially bounded. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The closure of the emptyset is empty. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Moreover, the emptyset is a compact set by the fact that every finite set is compact. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As a result, the emptyset is the unique initial object of the category of sets and functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Any set can be given the cofinite topology in which the open sets are the emptyset and the sets whose complement is finite. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Zero is the count of "no objects"; in more formal terms, it is the number of objects in the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From this definition it follows that the set of faces of a polytope includes the polytope itself and the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Some authors do not consider the emptyset to be irreducible (even though it vacuously satisfies the above conditions). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Because a set is determined completely by its elements, there can be only one emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. By definition, this is the least element among all elements that are greater than each member of the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This implies that any nonempty, finite accessible set system necessarily contains the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In some conventions, the emptyset is defined to be a (1) -simplex. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the emptyset is not a pointed set, for it has no element that can be chosen as base point. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the rank of the emptyset is zero, and every ordinal has a rank equal to itself. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The trivial group should not be confused with the emptyset (which has no elements, and lacking an identity element, can not be a group). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, the set containing only the emptyset is a nonempty pure set. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A player who can not move because the choice is from the emptyset has lost. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Some authors include the emptyset in this definition. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The camera zooms out to reveal that the room is an otherwise emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In every topological space the emptyset and the one-point sets are connected; in a totally disconnected space these are the "only" connected subsets. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This has two fixed-points for "before" (2), i and the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Solving the data flow equations starts with initializing all in-states and out-states to the emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. By intersecting this number of winning coalitions, one can sometimes obtain an emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. But by intersecting less than this number, one can never obtain an emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, there are other formulations of that axiom that do not presuppose the existence of an emptyset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Furthermore, one sometimes considers set theories in which there are no infinite sets, and then the axiom of emptyset may still be required. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The emptyset, required by set theory, has a rank of 1 and is sometimes said to correspond to the null polytope, or "nullitope". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Direct derivability is a relation between a sentence and a finite, possibly emptyset of sentences. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The emptyset contains zero groups of two, and no object is left over from this grouping, so zero is even. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Given this game 0 there are now two possible sets of options, the emptyset and the set whose only element is zero. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the emptyset and the whole space are closed. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Although the emptyset has no members, it can be a member of other sets. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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