| 词汇 | example_english_continuum-hypothesis |
| 释义 | continuum hypothesiscollocation in Englishmeanings of continuumand hypothesisThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with continuum. continuum noun[C] uk /kənˈtɪn.ju.əm/ us /kənˈtɪn.ju.əm/ something that changes in character gradually or in very slight stages without any clear ... See more at continuum hypothesis noun[C] uk /haɪˈpɒθ.ə.sɪs/ us /haɪˈpɑː.θə.sɪs/ an idea or explanation for something that is based on known facts but has not yet ... See more at hypothesis Examples of continuum hypothesisThese 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 148 linguistic and cultural maps permit the exploration of many questions - including the continuumhypothesis itself; paradoxically, considerable data here seem to disconfirm the hypothesis. Assume the generalised continuumhypothesis. The continuumhypothesis is closely related to many statements in analysis, point set topology and measure theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is a generalization of the continuumhypothesis since the continuum has the same cardinality as the power set of the integers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This question leads to the famous continuumhypothesis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Many large cardinal axioms were studied but the continuumhypothesis remained independent from them. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This dispute may be better understood when considering specific examples, such as the continuumhypothesis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There was only one paper, on the continuumhypothesis, that she was unable to repair. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The theory he developed involves a controversial argument that the continuumhypothesis is false. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the generalized continuumhypothesis holds, then a cardinal is strongly inaccessible if and only if it is weakly inaccessible. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The conjecture is a trivial consequence of the continuumhypothesis; so this axiom is often excluded in work on the conjecture. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Consequently, assumption of the continuumhypothesis can lead to results which are not of desired accuracy. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Two famous statements in set theory are the axiom of choice and the continuumhypothesis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He used his axioms in his 1940 monograph on the relative consistency of global choice and the generalized continuumhypothesis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is not yet the falsification of the continuumhypothesis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. One idea is that the set universe ought to be rich, with many sets, which leads to the continuumhypothesis being false. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is then wrong to stipulate, a priori and for philosophical reasons, that the continuumhypothesis is true or false. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. That said, under the right circumstances, the continuumhypothesis produces extremely accurate results. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Those problems for which the continuumhypothesis does not allow solutions of desired accuracy are solved using statistical mechanics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A trivial consequence of the continuumhypothesis is that a complete theory with less than continuum many nonisomorphic countable models can have only countably many. 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. Want to learn more? Go to the definition of continuum Go to the definition of hypothesis See other collocations with continuum |
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