How do I fix the parentheses and division bar spacing in this quotient of partial derivatives?

With this code:

$frac{left(ffrac{partial left[frac{P}{T}right]}{partialV}right)_T

}{left(ffrac{partial

V}{partial T}right)_V}$

And where:

newcommand{ffrac}[2]{ensuremath{frac{displaystyle #1}{displaystyle#2}}}

I get this:

enter image description here

There are three problems:

1) The parentheses around the outermost numerator don't match the contents.

2) The variables are too close to the division bars.

3) I'd prefer the subscripts be closer to the parentheses.

How do I clean these up, in that order of priority?

I'm using the ffrac code (from Fractions with large elements) to increase the display size; but reverting to the standard frac command doesn't change any of the problems I've described.

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

add a comment |

With this code:

$frac{left(ffrac{partial left[frac{P}{T}right]}{partialV}right)_T

}{left(ffrac{partial

V}{partial T}right)_V}$

And where:

newcommand{ffrac}[2]{ensuremath{frac{displaystyle #1}{displaystyle#2}}}

I get this:

enter image description here

There are three problems:

1) The parentheses around the outermost numerator don't match the contents.

2) The variables are too close to the division bars.

3) I'd prefer the subscripts be closer to the parentheses.

How do I clean these up, in that order of priority?

I'm using the ffrac code (from Fractions with large elements) to increase the display size; but reverting to the standard frac command doesn't change any of the problems I've described.

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

add a comment |

With this code:

$frac{left(ffrac{partial left[frac{P}{T}right]}{partialV}right)_T

}{left(ffrac{partial

V}{partial T}right)_V}$

And where:

newcommand{ffrac}[2]{ensuremath{frac{displaystyle #1}{displaystyle#2}}}

I get this:

enter image description here

There are three problems:

1) The parentheses around the outermost numerator don't match the contents.

2) The variables are too close to the division bars.

3) I'd prefer the subscripts be closer to the parentheses.

How do I clean these up, in that order of priority?

I'm using the ffrac code (from Fractions with large elements) to increase the display size; but reverting to the standard frac command doesn't change any of the problems I've described.

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

With this code:

$frac{left(ffrac{partial left[frac{P}{T}right]}{partialV}right)_T

}{left(ffrac{partial

V}{partial T}right)_V}$

And where:

newcommand{ffrac}[2]{ensuremath{frac{displaystyle #1}{displaystyle#2}}}

I get this:

enter image description here

There are three problems:

1) The parentheses around the outermost numerator don't match the contents.

2) The variables are too close to the division bars.

3) I'd prefer the subscripts be closer to the parentheses.

How do I clean these up, in that order of priority?

I'm using the ffrac code (from Fractions with large elements) to increase the display size; but reverting to the standard frac command doesn't change any of the problems I've described.

math-operators fractions

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

edited 20 hours ago

asked 20 hours ago

theorist

1114

New contributor

asked 20 hours ago

theorist

1114

asked 20 hours ago

theorist

1114

New contributor

theorist is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment |

2 Answers
2

active

oldest

votes

I suggest using the esdiff package, which simplifies typing of partial derivatives, and replacing the parentheses in the numerator with a pmatrix environment.

I added a variant to have the column vector in medium size (~80% of displaystyle). The medsize environment is defined in the nccmath package:

 documentclass{article}

usepackage{amsmath}

usepackage{esdiff, nccmath}

usepackage{booktabs} 



begin{document}







  {aboverulesep=-1.5ptbelowrulesep=0.5pt$displaystyle frac{begin{pmatrix}diffp{begin{bmatrix}

      P\cmidrule(lr){1-1} T

    end{bmatrix}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}

    qquad{cmidrulekern = 0.4em

   frac{begin{pmatrix}diffp{begin{medsize}begin{bmatrix}

      P\cmidrule(lr){1-1}T

    end{bmatrix}end{medsize}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}} $}%



    end{document}

enter image description here

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

add a comment |

The best approach uses, I believe, only a single frac expression and inline-fraction notation for both partial derivative terms as well as for the P/T term.

enter image description here

documentclass{article}

begin{document}

$frac{(partial(P/T)/partial V)^{}_T}{%

       (partial V/partial T)^{}_V}$

end{document}

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

add a comment |

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

I suggest using the esdiff package, which simplifies typing of partial derivatives, and replacing the parentheses in the numerator with a pmatrix environment.

I added a variant to have the column vector in medium size (~80% of displaystyle). The medsize environment is defined in the nccmath package:

 documentclass{article}

usepackage{amsmath}

usepackage{esdiff, nccmath}

usepackage{booktabs} 



begin{document}







  {aboverulesep=-1.5ptbelowrulesep=0.5pt$displaystyle frac{begin{pmatrix}diffp{begin{bmatrix}

      P\cmidrule(lr){1-1} T

    end{bmatrix}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}

    qquad{cmidrulekern = 0.4em

   frac{begin{pmatrix}diffp{begin{medsize}begin{bmatrix}

      P\cmidrule(lr){1-1}T

    end{bmatrix}end{medsize}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}} $}%



    end{document}

enter image description here

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

add a comment |

I suggest using the esdiff package, which simplifies typing of partial derivatives, and replacing the parentheses in the numerator with a pmatrix environment.

I added a variant to have the column vector in medium size (~80% of displaystyle). The medsize environment is defined in the nccmath package:

 documentclass{article}

usepackage{amsmath}

usepackage{esdiff, nccmath}

usepackage{booktabs} 



begin{document}







  {aboverulesep=-1.5ptbelowrulesep=0.5pt$displaystyle frac{begin{pmatrix}diffp{begin{bmatrix}

      P\cmidrule(lr){1-1} T

    end{bmatrix}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}

    qquad{cmidrulekern = 0.4em

   frac{begin{pmatrix}diffp{begin{medsize}begin{bmatrix}

      P\cmidrule(lr){1-1}T

    end{bmatrix}end{medsize}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}} $}%



    end{document}

enter image description here

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

add a comment |

I suggest using the esdiff package, which simplifies typing of partial derivatives, and replacing the parentheses in the numerator with a pmatrix environment.

I added a variant to have the column vector in medium size (~80% of displaystyle). The medsize environment is defined in the nccmath package:

 documentclass{article}

usepackage{amsmath}

usepackage{esdiff, nccmath}

usepackage{booktabs} 



begin{document}







  {aboverulesep=-1.5ptbelowrulesep=0.5pt$displaystyle frac{begin{pmatrix}diffp{begin{bmatrix}

      P\cmidrule(lr){1-1} T

    end{bmatrix}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}

    qquad{cmidrulekern = 0.4em

   frac{begin{pmatrix}diffp{begin{medsize}begin{bmatrix}

      P\cmidrule(lr){1-1}T

    end{bmatrix}end{medsize}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}} $}%



    end{document}

enter image description here

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

I suggest using the esdiff package, which simplifies typing of partial derivatives, and replacing the parentheses in the numerator with a pmatrix environment.

I added a variant to have the column vector in medium size (~80% of displaystyle). The medsize environment is defined in the nccmath package:

 documentclass{article}

usepackage{amsmath}

usepackage{esdiff, nccmath}

usepackage{booktabs} 



begin{document}







  {aboverulesep=-1.5ptbelowrulesep=0.5pt$displaystyle frac{begin{pmatrix}diffp{begin{bmatrix}

      P\cmidrule(lr){1-1} T

    end{bmatrix}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}

    qquad{cmidrulekern = 0.4em

   frac{begin{pmatrix}diffp{begin{medsize}begin{bmatrix}

      P\cmidrule(lr){1-1}T

    end{bmatrix}end{medsize}}{V}end{pmatrix}_{!!! T}}{ diffp*{V}{T}{V}}} $}%



    end{document}

enter image description here

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

edited 5 hours ago

answered 19 hours ago

Bernard

167k770195

answered 19 hours ago

Bernard

167k770195

answered 19 hours ago

Bernard

167k770195

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

add a comment |

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

Thanks @Bernard. The problem with the matrix form is that it lacks a division bar between the P and the T.

– theorist
6 hours ago

@theorist. I hadn't noticed this division bar. Please see if my updated answer is what you want (uses booktabs).

– Bernard
5 hours ago

Thanks again @Berard. That does answer my question about how to fix the appearance, so pending the requisite waiting period for other answers I'll accept it. My one concern, however, is usability. I thought if I saw how it was done for this form, I could then easily apply to others, e.g., where I had ratios in both the numerator and denominator of the top term, or where I had, say, partial (1/T) in the denominator of the bottom term. But with this more complicated syntax, it might be too time consuming to typeset lot of different partials. [Continued....]

– theorist
4 hours ago

....Feel free to suggest that I post this as a separate question, but would there be a way to create a command, say diffp2*, that would provide your typesetting, such that if you wanted the bottom term, you'd enter diffp2*{V}{T}{V} (same construction as diffp*), and if you wanted the top term you'd enter diffp2*{P,T}{V}{T} (the {P,T} indicating a vertical fraction enclosed in square brackets)? Or if you wanted 1/T instead of P/T, you enter diffp2*{1,T}{V}{T}. Then, to construct the whole example from my OP, you'd simply enter frac{diffp2*{P,T}{V}{T}}{diffp2*{V}{T}{V}}.

– theorist
4 hours ago

add a comment |

The best approach uses, I believe, only a single frac expression and inline-fraction notation for both partial derivative terms as well as for the P/T term.

enter image description here

documentclass{article}

begin{document}

$frac{(partial(P/T)/partial V)^{}_T}{%

       (partial V/partial T)^{}_V}$

end{document}

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

add a comment |

The best approach uses, I believe, only a single frac expression and inline-fraction notation for both partial derivative terms as well as for the P/T term.

enter image description here

documentclass{article}

begin{document}

$frac{(partial(P/T)/partial V)^{}_T}{%

       (partial V/partial T)^{}_V}$

end{document}

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

add a comment |

The best approach uses, I believe, only a single frac expression and inline-fraction notation for both partial derivative terms as well as for the P/T term.

enter image description here

documentclass{article}

begin{document}

$frac{(partial(P/T)/partial V)^{}_T}{%

       (partial V/partial T)^{}_V}$

end{document}

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

The best approach uses, I believe, only a single frac expression and inline-fraction notation for both partial derivative terms as well as for the P/T term.

enter image description here

documentclass{article}

begin{document}

$frac{(partial(P/T)/partial V)^{}_T}{%

       (partial V/partial T)^{}_V}$

end{document}

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

edited 15 hours ago

answered 19 hours ago

Mico

275k30373761

answered 19 hours ago

Mico

275k30373761

answered 19 hours ago

Mico

275k30373761

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

add a comment |

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

Thanks @Mico. I do like the simple syntax, though my students are more used to seeing the formatting I showed in my OP, which may more easily allow one to keep track of all the variables when the expressions become more complicated. But it's nice to have another option. One problem I see is that the variables (other than the subscripts) and partial symbols should be vertically centered relative to the parentheses and solidi, but here they're instead top-justified.

– theorist
5 hours ago

add a comment |

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