词汇 | scalar-multiplication |
释义 | BETA scalar multiplicationcollocation in Englishmeanings of scalarand multiplicationThese words are often used together. Click on the links below to explore the meanings. scalar noun[ C ] uk /ˈskeɪ.lər/ us /ˈskeɪ.lɚ/ something that has size but no direction, such as a quantity, distance, speed, ... See more at scalar multiplication noun uk /ˌmʌl.tɪ.plɪˈkeɪ.ʃən/ us /ˌmʌl.tə.pləˈkeɪ.ʃən/ mathematics specialized the process of adding a number to itself a particular number of times, or a calculation in which this ... See more at multiplication Examples of scalar multiplicationscalar multiplication A positive scalarmultiplication is a sign preserving transformation. A positive scalarmultiplication is a signpreserving transformation. The law (4) is obvious, as is (5), while (6) and (7) follow from our above definition of scalarmultiplication. Moreover, the scalarmultiplication it is not longer necessary to see it as another operation. A linear space is closed under addition and scalarmultiplication. They are located in a conical section, where a conical section of a space is a set that is closed under addition and scalarmultiplication with positive scalars. Trace zero varieties feature a better scalarmultiplication performance than elliptic curves. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The sum of two such elements and is and scalarmultiplication is given by. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This shows that complex multiplication is compatible with the scalarmultiplication by the real numbers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A scalar beside a vector (either or both of which may be in parentheses) implies scalarmultiplication. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The cross symbol generally denotes a vector multiplication, while the dot denotes a scalarmultiplication. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The vector space operations of addition and scalarmultiplication are actually uniformly continuous. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The left scalarmultiplication of a matrix with a scalar gives another matrix of the same size as. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A geometric interpretation of scalarmultiplication is that it stretches, or contracts, vectors by a constant factor. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These two operations known as vector addition and scalarmultiplication satisfy a number of properties that serve to define vector spaces abstractly. 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. |
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