| 词汇 | example_english_induction-hypothesis |
| 释义 | induction hypothesiscollocation in Englishmeanings of inductionand hypothesisThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with induction. induction noun uk /ɪnˈdʌk.ʃən/ us /ɪnˈdʌk.ʃən/ an occasion when someone is formally introduced into a new job or organization, especially through a ... See more at induction 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 induction 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. It is easy to prove most cases by applying the inductionhypothesis on the premises of each rule. In the second case, the main inductionhypothesis gives ! For the rest of the rules, we use the inductionhypothesis. For the first case we use the inductionhypothesis. So by the inductionhypothesis there is an injection : r y that satisfies properties (1)-(4). Together with the inductionhypothesis, this completes the induction. The fact that the inductionhypothesis holds for simple groups is a consequence of the following two facts. If the first reduction step takes place inside s then the claim immediately follows from the inductionhypothesis. The cases of inner reductions follow immediately from the inductionhypothesis. In the first case, we simply use the inductionhypothesis, and the degree weakening rule to conclude. This restricts us to proofs which involve a single inductionhypothesis. Since each of the rules has a single premise, each case follows from a single use of the inductionhypothesis. By the inductionhypothesis on the premise one of 1-4 holds. The result is derived by structural induction, making use of the fixed point inductionhypothesis. If the conjecture is too specific, the inductionhypothesis may be too weak to support the conclusion. By inductionhypothesis, both e1 and e2 are total and so is e. The proof can be done by a straightforward use of the inductionhypothesis. The first inequality follows by the inductionhypothesis. 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 induction Go to the definition of hypothesis See other collocations with induction |
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