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词汇 example_english_vacuously
释义

Examples of vacuously


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.
The initial state of this automaton is the empty set of states, which is vacuously conflict-free and a downset, and hence a configuration.
The vowel coalescence shown in (3d) may vacuously be assumed to have occurred in (3b, c) as well.
For 2) we obtain that q - and q -> since n the conditions are vacuously satisfied.
The cases for reductions to wrong are vacuously true; we treat only one of them, as an example.
We show that any relator that has membership is strong, and that much of the tedious conditions involved in reasoning about strength are vacuously satisfied.
Furthermore, because its input-output correspondence relation is undefined, o vacuously satisfies all faithfulness constraints.
First observe that if n 5, then the statement is vacuously true.
We find this fact quite remarkable, as it shows that all conditions regarding strong functors in the literature are vacuously satisfied.
If she has no such belief about what she would do, then both counter factuals are vacuously true.
At antiproper intersection-types the first claim is vacuously true; the second claim is a consequence of the induction hypothesis since each conjunct of is antiproper.
This condition guards against languages with no functions, and hence that would vacuously satisfy the second and third conditions.
Indeed, if d f(d), then the claim holds vacuously.
A predicate at stratum 0 is extensional, and the statement is vacuously true.
As such, it vacuously satisfies all constraints on foot structure.
But, more importantly, it is not tr ue that dispositional counter factuals with impossible antecedents are vacuously true if "vacuously true" means tr ue in a technical, unmeaningful sense.
Logical consistency demands, of course, that all such sentences be treated in the same way, so it makes most sense to characterize this silly sentence as true, though vacuously so.
There is no use gaping vacuously on the problems of the air or on the military problems with which they confront us.
From the
Hansard archive

Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
Some authors do not consider the empty set 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.
Outside of mathematics, statements which can be characterized informally as vacuously true can be misleading.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
If is empty, then the theorem is vacuously true and the base case for induction is verified.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
This holds vacuously, given either (1) or (2).
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
This operation vacuously satisfies the closure and associativity axioms of a semigroup.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
Manifolds that do not intersect are vacuously transverse.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
This requirement that the non-vacuously applicable rules must apply is the appearance checking aspect of such a grammar.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
A semigroup with no element is an inverse semigroup, since the necessary condition is vacuously satisfied.
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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