Name of a vector of 1s?Let's consider an N dimensional vector where each coordinate takes the value 1. For example, for N = 5 we have: ( 1 , 1 , 1 , 1 , 1 )Does this type of vector have a name in the literature? Perhaps "unary?". Also, are there any conventions on how to refer to it in terms of notation? (e.g. 1 T ?)

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Name of a vector of 1s?Let&#039;s consider an N dimensional vector where each coordinate takes the value 1. For example, for   N  =  5  we have:   (  1  ,  1  ,  1  ,  1  ,  1  )Does this type of vector have a name in the literature? Perhaps &quot;unary?&quot;. Also, are there any conventions on how to refer to it in terms of notation? (e.g.             1        T  ?)

Kellen Blackburn · Accepted Answer

It&#039;s not quite common enough to have a standard notation, but a reasonably well-accepted notation would be something like             1        n    =  (  1  ,  1  ,  …  ,  1  )  ∈            R        n  , and if you needed a column vector then you&#039;d write             1        n    ⊺  . It may sometimes be called the 1-vector of size n or a size n vector of 1s.As such, it&#039;s the kind of thing that when you use it you would probably be best off defining it explicitly so that it&#039;s clear what you&#039;re doing with it.

Daniella Reyes · Accepted Answer

I&#039;m not aware of any conventional terminology. However, vector of ones is pretty compact and seems to get the job done. Similarly, I&#039;m not aware of any special notation. Were I using it, I&#039;d just define some notation. For example, let   a  ∈            R        d   denote the vector of ones (ie,   a  =  (  1  ,  …  ,  1  )).Of course, depending on the context, there could be special notation. That could represent the identity in something like the multiplicative group             Z        ×    ×            Z        ×   . Then the standard notation for an identity element would be used.

Let's consider an N dimensional vector where each coordinate takes the value 1. For example, for N=5 we have: (1,1,1,1,1). Does this type of vector have a name in the literature? Perhaps "unary?". Also, are there any conventions on how to refer to it in terms of notation? (e.g. 1^T?)

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