Are vectors tensors of rank 1 or of order 1?



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Topic: Science > Physics
User: ""
Date: 30 Jan 2005 07:09:54 AM
Object: Are vectors tensors of rank 1 or of order 1?
Many say that a vector is a tensor of order 1,
others say that a vector is a tensor of rank 1.
Which of the two is correct in the English language?
HM
.

User: "Franz Heymann"

Title: Re: Are vectors tensors of rank 1 or of order 1? 30 Jan 2005 11:55:08 AM
<heinrich_neumaier@yahoo.com> wrote in message
news:1107090594.382153.39560@c13g2000cwb.googlegroups.com...



Many say that a vector is a tensor of order 1,
others say that a vector is a tensor of rank 1.
Which of the two is correct in the English language?

Rank
Franz
.

User: "Dirk Van de moortel"

Title: Re: Are vectors tensors of rank 1 or of order 1? 30 Jan 2005 08:40:33 AM
<heinrich_neumaier@yahoo.com> wrote in message news:1107090594.382153.39560@c13g2000cwb.googlegroups.com...



Many say that a vector is a tensor of order 1,
others say that a vector is a tensor of rank 1.
Which of the two is correct in the English language?

Mathworld: "An n-th rank tensor of order m is a mathematical
object in m-dimensional space which has n indices and m^n
components and obeys certain transformation rules."
http://mathworld.wolfram.com/Tensor.html
Many texts use "order" in stead of "rank" though.
Dirk Vdm
.


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