Notation for a sequence of points
up vote
1
down vote
favorite
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
asked Nov 27 at 9:13
winston
481218
add a comment |
up vote
1
down vote
favorite
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
asked Nov 27 at 9:13
winston
481218
2
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 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 at 9:20
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
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
asked Nov 27 at 9:13
winston
481218
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
sequences-and-series
asked Nov 27 at 9:13
winston
481218
asked Nov 27 at 9:13
winston
481218
asked Nov 27 at 9:13
winston
481218
asked Nov 27 at 9:13
winston
481218
asked Nov 27 at 9:13
winston
481218
481218
2
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 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 at 9:20
add a comment |
2
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 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 at 9:20
2
2
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 at 9:14
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 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 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 at 9:20
add a comment |
1 Answer
1
active
oldest
votes
up vote
2
down vote
accepted
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 $mathbb{R}^3$.
answered Nov 27 at 9:23
lhf
162k9166385
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
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 $mathbb{R}^3$.
answered Nov 27 at 9:23
lhf
162k9166385
add a comment |
up vote
2
down vote
accepted
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 $mathbb{R}^3$.
answered Nov 27 at 9:23
lhf
162k9166385
add a comment |
up vote
2
down vote
accepted
up vote
2
down vote
accepted
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 $mathbb{R}^3$.
answered Nov 27 at 9:23
lhf
162k9166385
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 $mathbb{R}^3$.
answered Nov 27 at 9:23
lhf
162k9166385
answered Nov 27 at 9:23
lhf
162k9166385
answered Nov 27 at 9:23
lhf
162k9166385
answered Nov 27 at 9:23
lhf
162k9166385
162k9166385
add a comment |
add a comment |
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2
${p_n} subset mathbb R^{3}$.
– Kavi Rama Murthy
Nov 27 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 at 9:20