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How to break math formula inside table?

0

There are some mathematical formulas in the table that don't automatic line break, resulting in poor display and Overfull warning. So, how to fix it?

Here is the latex minimal working example:

documentclass{article}



% support for `multirow` command

usepackage{multirow}



begin{document}



Let $ (X_{1}, X_{2}, ldots, X_{n_{1}}) $ denote a random sample of size $ n_{1} $ from a distribution that is $ X sim N(mu_{1}, sigma_{1}^{2}) $, $ (Y_{1}, Y_{2}, ldots, Y_{n_{2}}) $ denote a random sample of size $ n_{2} $ from a distribution that is $ Y sim N(mu_{2}, sigma_{2}^{2}) $, respectively. $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ is the corresponding sample mean and sample variance, and

[

S_{ omega}^{2} = frac{(n_{1} - 1) S_{1}^{2} + (n_{2} - 1) S_{2}^{2}}{n_{1} + n_{2} - 2}

]



Note that two random samples are independent, and $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ are unknown parameters.



The following table lists the interval estimator of $ mu_{1} - mu_{2} $ and $ sigma_{1}^{2} / sigma_{2}^{2} $ with $ 1 - alpha $ confidence interval.



begin{table}[ht]

caption{Interval estimator for difference of means and ratio of variance in two normal populations}

centering



begin{tabular}{c|c|c}

hline

multicolumn{2}{c|}{unknown parameter} & $ 1 - alpha $ confidence interval tabularnewline

hline

multirow{2}*{$ mu_{1} - mu_{2} $} & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ known & $ left( overline{X} - overline{Y} - U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}}, overline{X} - overline{Y} + U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}} right) $ tabularnewline

cline{2-3}

 & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ unknown, but $ sigma_{1}^{2} = sigma_{2}^{2} $ & $ left( overline{X} - overline{Y} - T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}}, overline{X} - overline{Y} + T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}} right) $ tabularnewline

hline

multicolumn{2}{c|}{$ sigma_{1}^{2} / sigma_{2}^{2} $} & $ left( frac{S_{1}^{2} / S_{2}^{2}}{F_{alpha / 2} (n_{1} - 1, n_{2} - 1)}, frac{S_{1}^{2} / S_{2}^{2}}{F_{1- alpha / 2} (n_{1} - 1, n_{2} - 1)} right) $ tabularnewline

hline

end{tabular}

end{table}



end{document}

tables math-mode multirow multicolumn

share

asked 3 mins ago

BillBill

1

New contributor

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

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  You should set the width of columns in the table, and use some environment for line break in math mode.
  
  – JouleV
  36 secs ago
  

  
  
  
  

add a comment | 

0

There are some mathematical formulas in the table that don't automatic line break, resulting in poor display and Overfull warning. So, how to fix it?

Here is the latex minimal working example:

documentclass{article}



% support for `multirow` command

usepackage{multirow}



begin{document}



Let $ (X_{1}, X_{2}, ldots, X_{n_{1}}) $ denote a random sample of size $ n_{1} $ from a distribution that is $ X sim N(mu_{1}, sigma_{1}^{2}) $, $ (Y_{1}, Y_{2}, ldots, Y_{n_{2}}) $ denote a random sample of size $ n_{2} $ from a distribution that is $ Y sim N(mu_{2}, sigma_{2}^{2}) $, respectively. $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ is the corresponding sample mean and sample variance, and

[

S_{ omega}^{2} = frac{(n_{1} - 1) S_{1}^{2} + (n_{2} - 1) S_{2}^{2}}{n_{1} + n_{2} - 2}

]



Note that two random samples are independent, and $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ are unknown parameters.



The following table lists the interval estimator of $ mu_{1} - mu_{2} $ and $ sigma_{1}^{2} / sigma_{2}^{2} $ with $ 1 - alpha $ confidence interval.



begin{table}[ht]

caption{Interval estimator for difference of means and ratio of variance in two normal populations}

centering



begin{tabular}{c|c|c}

hline

multicolumn{2}{c|}{unknown parameter} & $ 1 - alpha $ confidence interval tabularnewline

hline

multirow{2}*{$ mu_{1} - mu_{2} $} & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ known & $ left( overline{X} - overline{Y} - U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}}, overline{X} - overline{Y} + U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}} right) $ tabularnewline

cline{2-3}

 & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ unknown, but $ sigma_{1}^{2} = sigma_{2}^{2} $ & $ left( overline{X} - overline{Y} - T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}}, overline{X} - overline{Y} + T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}} right) $ tabularnewline

hline

multicolumn{2}{c|}{$ sigma_{1}^{2} / sigma_{2}^{2} $} & $ left( frac{S_{1}^{2} / S_{2}^{2}}{F_{alpha / 2} (n_{1} - 1, n_{2} - 1)}, frac{S_{1}^{2} / S_{2}^{2}}{F_{1- alpha / 2} (n_{1} - 1, n_{2} - 1)} right) $ tabularnewline

hline

end{tabular}

end{table}



end{document}

tables math-mode multirow multicolumn

share

asked 3 mins ago

BillBill

1

New contributor

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

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  You should set the width of columns in the table, and use some environment for line break in math mode.
  
  – JouleV
  36 secs ago
  

  
  
  
  

add a comment | 

There are some mathematical formulas in the table that don't automatic line break, resulting in poor display and Overfull warning. So, how to fix it?

Here is the latex minimal working example:

documentclass{article}



% support for `multirow` command

usepackage{multirow}



begin{document}



Let $ (X_{1}, X_{2}, ldots, X_{n_{1}}) $ denote a random sample of size $ n_{1} $ from a distribution that is $ X sim N(mu_{1}, sigma_{1}^{2}) $, $ (Y_{1}, Y_{2}, ldots, Y_{n_{2}}) $ denote a random sample of size $ n_{2} $ from a distribution that is $ Y sim N(mu_{2}, sigma_{2}^{2}) $, respectively. $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ is the corresponding sample mean and sample variance, and

[

S_{ omega}^{2} = frac{(n_{1} - 1) S_{1}^{2} + (n_{2} - 1) S_{2}^{2}}{n_{1} + n_{2} - 2}

]



Note that two random samples are independent, and $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ are unknown parameters.



The following table lists the interval estimator of $ mu_{1} - mu_{2} $ and $ sigma_{1}^{2} / sigma_{2}^{2} $ with $ 1 - alpha $ confidence interval.



begin{table}[ht]

caption{Interval estimator for difference of means and ratio of variance in two normal populations}

centering



begin{tabular}{c|c|c}

hline

multicolumn{2}{c|}{unknown parameter} & $ 1 - alpha $ confidence interval tabularnewline

hline

multirow{2}*{$ mu_{1} - mu_{2} $} & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ known & $ left( overline{X} - overline{Y} - U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}}, overline{X} - overline{Y} + U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}} right) $ tabularnewline

cline{2-3}

 & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ unknown, but $ sigma_{1}^{2} = sigma_{2}^{2} $ & $ left( overline{X} - overline{Y} - T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}}, overline{X} - overline{Y} + T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}} right) $ tabularnewline

hline

multicolumn{2}{c|}{$ sigma_{1}^{2} / sigma_{2}^{2} $} & $ left( frac{S_{1}^{2} / S_{2}^{2}}{F_{alpha / 2} (n_{1} - 1, n_{2} - 1)}, frac{S_{1}^{2} / S_{2}^{2}}{F_{1- alpha / 2} (n_{1} - 1, n_{2} - 1)} right) $ tabularnewline

hline

end{tabular}

end{table}



end{document}

tables math-mode multirow multicolumn

share

asked 3 mins ago

BillBill

1

New contributor

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

documentclass{article}



% support for `multirow` command

usepackage{multirow}



begin{document}



Let $ (X_{1}, X_{2}, ldots, X_{n_{1}}) $ denote a random sample of size $ n_{1} $ from a distribution that is $ X sim N(mu_{1}, sigma_{1}^{2}) $, $ (Y_{1}, Y_{2}, ldots, Y_{n_{2}}) $ denote a random sample of size $ n_{2} $ from a distribution that is $ Y sim N(mu_{2}, sigma_{2}^{2}) $, respectively. $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ is the corresponding sample mean and sample variance, and

[

S_{ omega}^{2} = frac{(n_{1} - 1) S_{1}^{2} + (n_{2} - 1) S_{2}^{2}}{n_{1} + n_{2} - 2}

]



Note that two random samples are independent, and $ overline{X} $, $ S_{1}^{2} $, $ overline{Y} $, $ S_{2}^{2} $ are unknown parameters.



The following table lists the interval estimator of $ mu_{1} - mu_{2} $ and $ sigma_{1}^{2} / sigma_{2}^{2} $ with $ 1 - alpha $ confidence interval.



begin{table}[ht]

caption{Interval estimator for difference of means and ratio of variance in two normal populations}

centering



begin{tabular}{c|c|c}

hline

multicolumn{2}{c|}{unknown parameter} & $ 1 - alpha $ confidence interval tabularnewline

hline

multirow{2}*{$ mu_{1} - mu_{2} $} & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ known & $ left( overline{X} - overline{Y} - U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}}, overline{X} - overline{Y} + U_{frac{alpha}{2}} sqrt{frac{sigma_{1}^{2}}{n_{1}} + frac{sigma_{2}^{2}}{n_{2}}} right) $ tabularnewline

cline{2-3}

 & $ sigma_{1}^{2} $, $ sigma_{2}^{2} $ unknown, but $ sigma_{1}^{2} = sigma_{2}^{2} $ & $ left( overline{X} - overline{Y} - T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}}, overline{X} - overline{Y} + T_{frac{alpha}{2}} (n_{1} + n_{2} - 2) S_{omega} sqrt{frac{1}{n_{1}} + frac{1}{n_{2}}} right) $ tabularnewline

hline

multicolumn{2}{c|}{$ sigma_{1}^{2} / sigma_{2}^{2} $} & $ left( frac{S_{1}^{2} / S_{2}^{2}}{F_{alpha / 2} (n_{1} - 1, n_{2} - 1)}, frac{S_{1}^{2} / S_{2}^{2}}{F_{1- alpha / 2} (n_{1} - 1, n_{2} - 1)} right) $ tabularnewline

hline

end{tabular}

end{table}



end{document}

share

asked 3 mins ago

BillBill

1

New contributor

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

share

asked 3 mins ago

BillBill

1

New contributor

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

asked 3 mins ago

BillBill

1

New contributor

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

asked 3 mins ago

BillBill

1