Parenthesis in function notation?
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In my cosmology textbook the author sometimes refers to the scale factor as $Rleft(tright)$ and sometimes just as plain $R$. For example:$$ds^{2}=c^{2}dt^{2}-R^{2}left(tright)left[frac{dr^{2}}{1-kr^{2}}+r^{2}dtheta^{2}+r^{2}sin^{2}theta dphi^{2}right],$$$$Hleft(tright)=frac{1}{R}frac{dR}{dt}.$$
I can't see any any rhyme or reason to his usage. Now, it's not important, I know what he means, but is there a rule or convention governing when you should or shouldn't use parentheses in function notation?
functions notation
asked Jan 7 at 8:49
Peter4075Peter4075
429521
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add a comment |
$begingroup$
In my cosmology textbook the author sometimes refers to the scale factor as $Rleft(tright)$ and sometimes just as plain $R$. For example:$$ds^{2}=c^{2}dt^{2}-R^{2}left(tright)left[frac{dr^{2}}{1-kr^{2}}+r^{2}dtheta^{2}+r^{2}sin^{2}theta dphi^{2}right],$$$$Hleft(tright)=frac{1}{R}frac{dR}{dt}.$$
I can't see any any rhyme or reason to his usage. Now, it's not important, I know what he means, but is there a rule or convention governing when you should or shouldn't use parentheses in function notation?
functions notation
asked Jan 7 at 8:49
Peter4075Peter4075
429521
$endgroup$
2
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
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– Paul
Jan 7 at 9:41
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@Paul - thanks for that.
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– Peter4075
Jan 8 at 6:28
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@Paul Could you please convert your helpful comment into an answer?
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– Robert Howard
Mar 4 at 19:13
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Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32
add a comment |
$begingroup$
In my cosmology textbook the author sometimes refers to the scale factor as $Rleft(tright)$ and sometimes just as plain $R$. For example:$$ds^{2}=c^{2}dt^{2}-R^{2}left(tright)left[frac{dr^{2}}{1-kr^{2}}+r^{2}dtheta^{2}+r^{2}sin^{2}theta dphi^{2}right],$$$$Hleft(tright)=frac{1}{R}frac{dR}{dt}.$$
I can't see any any rhyme or reason to his usage. Now, it's not important, I know what he means, but is there a rule or convention governing when you should or shouldn't use parentheses in function notation?
functions notation
asked Jan 7 at 8:49
Peter4075Peter4075
429521
$endgroup$
In my cosmology textbook the author sometimes refers to the scale factor as $Rleft(tright)$ and sometimes just as plain $R$. For example:$$ds^{2}=c^{2}dt^{2}-R^{2}left(tright)left[frac{dr^{2}}{1-kr^{2}}+r^{2}dtheta^{2}+r^{2}sin^{2}theta dphi^{2}right],$$$$Hleft(tright)=frac{1}{R}frac{dR}{dt}.$$
I can't see any any rhyme or reason to his usage. Now, it's not important, I know what he means, but is there a rule or convention governing when you should or shouldn't use parentheses in function notation?
functions notation
functions notation
asked Jan 7 at 8:49
Peter4075Peter4075
429521
asked Jan 7 at 8:49
Peter4075Peter4075
429521
asked Jan 7 at 8:49
Peter4075Peter4075
429521
asked Jan 7 at 8:49
Peter4075Peter4075
429521
asked Jan 7 at 8:49
Peter4075Peter4075
429521
429521
2
$begingroup$
No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
$endgroup$
– Paul
Jan 7 at 9:41
$begingroup$
@Paul - thanks for that.
$endgroup$
– Peter4075
Jan 8 at 6:28
$begingroup$
@Paul Could you please convert your helpful comment into an answer?
$endgroup$
– Robert Howard
Mar 4 at 19:13
$begingroup$
Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32
add a comment |
2
$begingroup$
No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
$endgroup$
– Paul
Jan 7 at 9:41
$begingroup$
@Paul - thanks for that.
$endgroup$
– Peter4075
Jan 8 at 6:28
$begingroup$
@Paul Could you please convert your helpful comment into an answer?
$endgroup$
– Robert Howard
Mar 4 at 19:13
$begingroup$
Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32
2
2
$begingroup$
No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
$endgroup$
– Paul
Jan 7 at 9:41
$begingroup$
No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
$endgroup$
– Paul
Jan 7 at 9:41
$begingroup$
@Paul - thanks for that.
$endgroup$
– Peter4075
Jan 8 at 6:28
$begingroup$
@Paul - thanks for that.
$endgroup$
– Peter4075
Jan 8 at 6:28
$begingroup$
@Paul Could you please convert your helpful comment into an answer?
$endgroup$
– Robert Howard
Mar 4 at 19:13
$begingroup$
@Paul Could you please convert your helpful comment into an answer?
$endgroup$
– Robert Howard
Mar 4 at 19:13
$begingroup$
Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32
$begingroup$
Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32
add a comment |
1 Answer
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
answered Mar 4 at 19:31
PaulPaul
93576
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
answered Mar 4 at 19:31
PaulPaul
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
answered Mar 4 at 19:31
PaulPaul
93576
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add a comment |
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
answered Mar 4 at 19:31
PaulPaul
93576
$endgroup$
No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
answered Mar 4 at 19:31
PaulPaul
93576
answered Mar 4 at 19:31
PaulPaul
93576
answered Mar 4 at 19:31
PaulPaul
93576
answered Mar 4 at 19:31
PaulPaul
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No there isn't. It is all about readability and, perhaps, reminding yourself occasionally that R depends on t. In the second equation such a reminder is superfluous as a derivative is being taken.
$endgroup$
– Paul
Jan 7 at 9:41
$begingroup$
@Paul - thanks for that.
$endgroup$
– Peter4075
Jan 8 at 6:28
$begingroup$
@Paul Could you please convert your helpful comment into an answer?
$endgroup$
– Robert Howard
Mar 4 at 19:13
$begingroup$
Done to close it off.
$endgroup$
– Paul
Mar 4 at 19:32