induction hypothesis
collocation in Englishmeaningsofinductionandhypothesis
These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withinduction.
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 atinduction
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 athypothesis
(Definition ofinductionandhypothesisfrom theCambridge English Dictionary© Cambridge University Press)
Examplesofinduction hypothesis
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.
It is easy to prove most cases by applying theinductionhypothesison the premises of each rule.
From theCambridge English Corpus
In the second case, the maininductionhypothesisgives !
From theCambridge English Corpus
For the rest of the rules, we use theinductionhypothesis.
From theCambridge English Corpus
For the first case we use theinductionhypothesis.
From theCambridge English Corpus
So by theinductionhypothesisthere is an injection : r y that satisfies properties (1)-(4).
From theCambridge English Corpus
Together with theinductionhypothesis, this completes the induction.
From theCambridge English Corpus
The fact that theinductionhypothesisholds for simple groups is a consequence of the following two facts.
From theCambridge English Corpus
If the first reduction step takes place inside s then the claim immediately follows from theinductionhypothesis.
From theCambridge English Corpus
The cases of inner reductions follow immediately from theinductionhypothesis.
From theCambridge English Corpus
In the first case, we simply use theinductionhypothesis, and the degree weakening rule to conclude.
From theCambridge English Corpus
This restricts us to proofs which involve a singleinductionhypothesis.
From theCambridge English Corpus
Since each of the rules has a single premise, each case follows from a single use of theinductionhypothesis.
From theCambridge English Corpus
By theinductionhypothesison the premise one of 1-4 holds.
From theCambridge English Corpus
The result is derived by structural induction, making use of the fixed pointinductionhypothesis.
From theCambridge English Corpus
If the conjecture is too specific, theinductionhypothesismay be too weak to support the conclusion.
From theCambridge English Corpus
Byinductionhypothesis, both e1 and e2 are total and so is e.
From theCambridge English Corpus
The proof can be done by a straightforward use of theinductionhypothesis.
From theCambridge English Corpus
The first inequality follows by theinductionhypothesis.
From theCambridge English Corpus
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 ofinduction
Go to the definition ofhypothesis
See other collocations withinduction