Talk:Concatenation (mathematics)

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[edit] Definition

How is concatenation of two vectors defined? If I concatenate a and b, do I stick a's tip into b's tail, and then measure the result from a's tail to b's tip, or what? JIP | Talk 19:46, 18 February 2008 (UTC)

That's vector addition. I suspect this operation is intended to be list concatenation, since vectors can be regarded as lists. In other words, if (v₁, …, v_k) and (v_k+1, …,v_ℓ) are vectors, then their concatenation ought to be the vector (v₁, …,v_ℓ), formed by writing the entries of the first vector followed by the entries of the second vector. I could see this stub being merged into augmented matrix. Michael Slone (talk) 03:37, 19 February 2008 (UTC)

I never studied advanced vector mathematics. The article about vectors tells me it's some kind of collection of factors (a₁, ..., a_n). Am I to understand this is a generalisation of an n-dimension geometrical vector? If so, then if a is an n-dimensional vector, and b is an m-dimesional vector, wouldn't a|b be an (n+m)-dimensional vector? JIP | Talk 20:42, 23 February 2008 (UTC)