| 词汇 | example_english_modular-arithmetic |
| 释义 | modular arithmeticcollocation in Englishmeanings of modularand arithmeticThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with arithmetic. modular adjective uk /ˈmɒdʒ.ə.lər/ us /ˈmɑː.dʒə.lɚ/ consisting of separate parts that, when combined, form a ... See more at modular arithmetic noun[U] uk /əˈrɪθ.mə.tɪk/ us /əˈrɪθ.mə.tɪk/ the part of mathematics that involves the adding and multiplying, etc. ... See more at arithmetic Examples of modular arithmeticThese 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. He further advanced modulararithmetic, greatly simplifying manipulations in number theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, in modulararithmetic, consider the equivalence relation on the integers defined by if is a multiple of a given integer, called the "modulus". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These can be of quite general use, for example in modulararithmetic or powering of matrices. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Considerations related to modulararithmetic have led to the notion of valuation ring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A great convenience of modulararithmetic is that it is easy to multiply, though quite difficult to add. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Another advantage of this convention is in the use of modulararithmetic as implemented in modern computers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Modulararithmetic is often used to calculate checksums that are used within identifiers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Note how the elements are non-negative because of the modulararithmetic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is a simple consequence of the laws of modulararithmetic; we are simply saying that we may first reduce "a" modulo "p". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is used in polynomial factorization, a problem for which all known efficient algorithms use modulararithmetic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is even more efficient to use modulararithmetic, which reduces the problem to a similar one over a finite field. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The corresponding addition and multiplication of equivalence classes is known as modulararithmetic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It then uses modulararithmetic to transform the integer that each plaintext letter corresponds to into another integer that correspond to a ciphertext letter. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. When working with modulararithmetic, each equivalence class is usually represented by its common residue, for example which can be found using long division. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The product cipher combines a sequence of simple transformations such as substitution, permutation, and modulararithmetic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These values may be modeled mathematically as the five numbers 0, 1, 2, 3, or 4 in modulararithmetic modulo 5. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A familiar use of modulararithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Instead of rewriting the current symbol, it can perform a modulararithmetic incrementation on it. 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 modular Go to the definition of arithmetic See other collocations with arithmetic |
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