Notation for a sequence of points












1














I want to say a sequence of points in $mathbb{R}^3$. Which of the following ways of writing is correct?
begin{equation}
{p_n in mathbb{R}^3}_{n=1}^{infty}
end{equation}

or
begin{equation}
{p_n }_{n=1}^{infty} in mathbb{R}^3
end{equation}










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  • 2




    ${p_n} subset mathbb R^{3}$.
    – Kavi Rama Murthy
    Nov 27 '18 at 9:14










  • "Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
    – lhf
    Nov 27 '18 at 9:20


















1














I want to say a sequence of points in $mathbb{R}^3$. Which of the following ways of writing is correct?
begin{equation}
{p_n in mathbb{R}^3}_{n=1}^{infty}
end{equation}

or
begin{equation}
{p_n }_{n=1}^{infty} in mathbb{R}^3
end{equation}










share|cite|improve this question


















  • 2




    ${p_n} subset mathbb R^{3}$.
    – Kavi Rama Murthy
    Nov 27 '18 at 9:14










  • "Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
    – lhf
    Nov 27 '18 at 9:20
















1












1








1







I want to say a sequence of points in $mathbb{R}^3$. Which of the following ways of writing is correct?
begin{equation}
{p_n in mathbb{R}^3}_{n=1}^{infty}
end{equation}

or
begin{equation}
{p_n }_{n=1}^{infty} in mathbb{R}^3
end{equation}










share|cite|improve this question













I want to say a sequence of points in $mathbb{R}^3$. Which of the following ways of writing is correct?
begin{equation}
{p_n in mathbb{R}^3}_{n=1}^{infty}
end{equation}

or
begin{equation}
{p_n }_{n=1}^{infty} in mathbb{R}^3
end{equation}







sequences-and-series






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asked Nov 27 '18 at 9:13









winston

507218




507218








  • 2




    ${p_n} subset mathbb R^{3}$.
    – Kavi Rama Murthy
    Nov 27 '18 at 9:14










  • "Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
    – lhf
    Nov 27 '18 at 9:20
















  • 2




    ${p_n} subset mathbb R^{3}$.
    – Kavi Rama Murthy
    Nov 27 '18 at 9:14










  • "Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
    – lhf
    Nov 27 '18 at 9:20










2




2




${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 '18 at 9:14




${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 '18 at 9:14












"Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
– lhf
Nov 27 '18 at 9:20






"Let $(p_n)$ be a sequence of points in $mathbb{R}^3$" is quite clear. Why use symbols when words are better?
– lhf
Nov 27 '18 at 9:20












1 Answer
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oldest

votes


















2














Pedantically, a sequence $(p_n)$ of points in $mathbb{R}^3$ is a function $p: mathbb N to mathbb{R}^3$, but almost no one writes a sequence like this.



A notation like ${p_n }_{n=1}^{infty}$ suggests the set that is the image of the sequence, not the sequence itself.



Why use symbols when words are better? The sentence below is quite clear.




Let $(p_n)$ be a sequence of points in $mathbb{R}^3$.







share|cite|improve this answer





















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    1 Answer
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    1 Answer
    1






    active

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    active

    oldest

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    active

    oldest

    votes









    2














    Pedantically, a sequence $(p_n)$ of points in $mathbb{R}^3$ is a function $p: mathbb N to mathbb{R}^3$, but almost no one writes a sequence like this.



    A notation like ${p_n }_{n=1}^{infty}$ suggests the set that is the image of the sequence, not the sequence itself.



    Why use symbols when words are better? The sentence below is quite clear.




    Let $(p_n)$ be a sequence of points in $mathbb{R}^3$.







    share|cite|improve this answer


























      2














      Pedantically, a sequence $(p_n)$ of points in $mathbb{R}^3$ is a function $p: mathbb N to mathbb{R}^3$, but almost no one writes a sequence like this.



      A notation like ${p_n }_{n=1}^{infty}$ suggests the set that is the image of the sequence, not the sequence itself.



      Why use symbols when words are better? The sentence below is quite clear.




      Let $(p_n)$ be a sequence of points in $mathbb{R}^3$.







      share|cite|improve this answer
























        2












        2








        2






        Pedantically, a sequence $(p_n)$ of points in $mathbb{R}^3$ is a function $p: mathbb N to mathbb{R}^3$, but almost no one writes a sequence like this.



        A notation like ${p_n }_{n=1}^{infty}$ suggests the set that is the image of the sequence, not the sequence itself.



        Why use symbols when words are better? The sentence below is quite clear.




        Let $(p_n)$ be a sequence of points in $mathbb{R}^3$.







        share|cite|improve this answer












        Pedantically, a sequence $(p_n)$ of points in $mathbb{R}^3$ is a function $p: mathbb N to mathbb{R}^3$, but almost no one writes a sequence like this.



        A notation like ${p_n }_{n=1}^{infty}$ suggests the set that is the image of the sequence, not the sequence itself.



        Why use symbols when words are better? The sentence below is quite clear.




        Let $(p_n)$ be a sequence of points in $mathbb{R}^3$.








        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 27 '18 at 9:23









        lhf

        163k10167386




        163k10167386






























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