| 词汇 | example_english_mathematical-induction |
| 释义 | mathematical inductioncollocation in Englishmeanings of mathematicaland inductionThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with induction. mathematical adjective uk /ˌmæθ.əmˈæt.ɪ.kəl/ us /ˌmæθˈmæt̬.ɪ.kəl/ relating ... See more at mathematical 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 Examples of mathematical inductionThese 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 original proof was done by mathematicalinduction. Powerful proof principles, such as equational reasoning with program terms and mathematicalinduction, are available. He is also hailed as the first to recognize, analyze, and name mathematicalinduction. The proof of the claim uses mathematicalinduction. Proof by mathematicalinduction plays a crucial role in reasoning about recursively defined functions. The prover applies a variety of symbolic manipulation techniques, including rewriting and mathematicalinduction. We use mathematicalinduction to prove (a). Both proofs used mathematicalinduction. For example, it does not prove ordinary mathematicalinduction for all formulae, while first-order arithmetic does (it has this as an axiom schema). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The non-finitistic constructions show up in the interpretation of mathematicalinduction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Therefore, by mathematicalinduction, repeating this process will eventually lead to a flat folding. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This can be easily proved with mathematicalinduction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For the following proof we apply mathematicalinduction and only well-known rules of arithmetic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Continuing in this fashion, an infinite simple path can be constructed by mathematicalinduction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The proof is by mathematicalinduction on the exponent "n". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Despite its name, mathematicalinduction is not a form of inductive reasoning. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematicalinduction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Mathematicalinduction, as formalized in the second-order axiom above, works because "k" is used to represent an "arbitrary" natural number. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Structural recursion is a recursion method bearing the same relationship to structural induction as ordinary recursion bears to ordinary mathematicalinduction. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, the second-order sentence expresses the principle of mathematicalinduction. 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 mathematical Go to the definition of induction See other collocations with induction |
反思网英语在线翻译词典收录了377474条英语词汇在线翻译词条，基本涵盖了全部常用英语词汇的中英文双语翻译及用法，是英语学习的有利工具。