What is the best way to write this equation to have a better look?
2
What is the best way to write the following equation:
begin{flalign}
begin{aligned}
&qquadqquadfrac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=\
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
Following is an image to how it looks like in the way I wrote the code above
I tried also to use multiline but did not get a nice look either.
I change the code using footnotesize, the new code is
{footnotesize
begin{flalign} label{18}
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}&=sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&qquad-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&qquad-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
}
It looks now as:
equations
asked Dec 18 at 13:25
N. I. ElZayat
515
|
show 2 more comments
2
What is the best way to write the following equation:
begin{flalign}
begin{aligned}
&qquadqquadfrac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=\
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
Following is an image to how it looks like in the way I wrote the code above
I tried also to use multiline but did not get a nice look either.
I change the code using footnotesize, the new code is
{footnotesize
begin{flalign} label{18}
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}&=sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&qquad-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&qquad-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
}
It looks now as:
equations
asked Dec 18 at 13:25
N. I. ElZayat
515
1
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
1
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
1
Do you use the default layout (with a very large outer margin) or do you customise your layout (say withgeometry)?
– Bernard
Dec 18 at 13:54
2
The combination offootnotesizeandtfracmakes reading the material quite a chore -- unless a free magnifying glass is handed out...
– Mico
Dec 18 at 15:06
|
show 2 more comments
2
2
2
What is the best way to write the following equation:
begin{flalign}
begin{aligned}
&qquadqquadfrac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=\
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
Following is an image to how it looks like in the way I wrote the code above
I tried also to use multiline but did not get a nice look either.
I change the code using footnotesize, the new code is
{footnotesize
begin{flalign} label{18}
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}&=sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&qquad-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&qquad-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
}
It looks now as:
equations
asked Dec 18 at 13:25
N. I. ElZayat
515
What is the best way to write the following equation:
begin{flalign}
begin{aligned}
&qquadqquadfrac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=\
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
Following is an image to how it looks like in the way I wrote the code above
I tried also to use multiline but did not get a nice look either.
I change the code using footnotesize, the new code is
{footnotesize
begin{flalign} label{18}
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}&=sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]\
&qquad-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&qquad-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
&&
end{flalign}
}
It looks now as:
equations
equations
asked Dec 18 at 13:25
N. I. ElZayat
515
asked Dec 18 at 13:25
N. I. ElZayat
515
edited Dec 18 at 14:05
asked Dec 18 at 13:25
N. I. ElZayat
515
asked Dec 18 at 13:25
N. I. ElZayat
515
asked Dec 18 at 13:25
N. I. ElZayat
515
515
1
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
1
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
1
Do you use the default layout (with a very large outer margin) or do you customise your layout (say withgeometry)?
– Bernard
Dec 18 at 13:54
2
The combination offootnotesizeandtfracmakes reading the material quite a chore -- unless a free magnifying glass is handed out...
– Mico
Dec 18 at 15:06
|
show 2 more comments
1
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
1
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
1
Do you use the default layout (with a very large outer margin) or do you customise your layout (say withgeometry)?
– Bernard
Dec 18 at 13:54
2
The combination offootnotesizeandtfracmakes reading the material quite a chore -- unless a free magnifying glass is handed out...
– Mico
Dec 18 at 15:06
1
1
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
1
1
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
1
1
Do you use the default layout (with a very large outer margin) or do you customise your layout (say with
geometry)?– Bernard
Dec 18 at 13:54
Do you use the default layout (with a very large outer margin) or do you customise your layout (say with
geometry)?– Bernard
Dec 18 at 13:54
2
2
The combination of
footnotesize and tfrac makes reading the material quite a chore -- unless a free magnifying glass is handed out...– Mico
Dec 18 at 15:06
The combination of
footnotesize and tfrac makes reading the material quite a chore -- unless a free magnifying glass is handed out...– Mico
Dec 18 at 15:06
|
show 2 more comments
4 Answers
4
active
oldest
votes
7
Do six lines. I changed the position of some of the brackets from before to after the summation sign and reduced the size.
Note that it should be bigl for a left delimiter and bigr for a right one (with the obvious variations for Big, bigg and Bigg).
documentclass{article}
usepackage{amsmath,bm}
begin{document}
begin{flalign}
begin{aligned}
frac{partial^2 ell}{partial bm{phi},partialbm{phi}'}={}&
begin{aligned}[t]
sum_{i=1}^{N-N^*}
biggl(,sum_{j=2}^{d_i-1}Bigl[
& -frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& +frac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}
{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
tilde{mathbf{Y}}_{d_i} tilde{mathbf{Y}}'_{d_i}Bigr]
\
-sum_{j=2}^{d_i-1}Bigl[
& frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_j
\
& +frac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
tilde{mathbf{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) tilde{mathbf{Y}}'_{d_i} Bigr]biggr)
end{aligned}
\
&begin{aligned}[t]
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}Bigl[
& frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& + frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_jBigr]
end{aligned}
end{aligned}
&&
end{flalign}
end{document}
I changed all mathbf{tilde{Y}} to tilde{mathbf{Y}} that's conceptually sounder. You may also want to use widetilde, but I don't recommend so.
answered Dec 18 at 14:08
egreg
709k8618823164
2
I'd be tempted to replace all instances ofmathbf{tilde{Y}}withwidetilde{mathbf{Y}}.
– Mico
Dec 18 at 14:14
3
@Mico It should betilde{mathbf{Y}}, much likely.
– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
add a comment |
3
Reduce the text size or make it spread into several lines.
begin{flalign}
{footnotesize
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}\&
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]
-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}}
end{flalign}
answered Dec 18 at 14:04
Litun John
1,21341320
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
And you remembered to check the log before you posted this? Hint:footnotesizeis not allowed in math mode.
– daleif
Dec 18 at 14:08
3
No error is not the same as not being correct. You getLaTeX Font Warning: Command footnotesize invalid in math modeif you look in the log. Never use text font resizing commands in math mode.
– daleif
Dec 18 at 14:16
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
|
show 2 more comments
3
I've made the code a bit more legible and changed Bigg( to Biggl( etc. Also, I'm using the multline environment from amsmath which is suitable here.
documentclass{article}
usepackage{amsmath}
usepackage{bm}
usepackage[margin=1in]{geometry}
newcommand{bP}{bm{P}}
newcommand{tY}{mathbf{tilde Y}}
begin{document}
begin{multline}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
sum_{i=1}^{N-N^*} Biggl(biggl[sum_{j=2}^{d_i-1} -;frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{id_i}'(1-bP_{id_i})'(1-bP_{id_i})}{(1-bP_{id_i})'(1-bP_{id_i})+bP_{id_i}'bP_{id_i}}
tY_{d_i} tY'_{d_i}biggr]\
-biggl[sum_{j=2}^{d_i-1} frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_j+frac{(1-bP_{id_i})}{bP'_{id_i}}
tY_{d_i} bP_{id_i}(1-bP_{id_i}) tY'_{d_i} biggr]Biggr)\
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}biggl[frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_jbiggr]
end{multline}
end{document}
answered Dec 18 at 14:18
JPi
9,57721450
add a comment |
2
I propose this, with package geometry. If you have the default layout with large margins, you can nest the equation contents in a medsize environment from nccmath (~ 80% of previous size):
documentclass{article}
usepackage{geometry}
usepackage{showframe}
renewcommand{ShowFrameLinethickness}{0.3pt}
usepackage{amsmath, bm, nccmath}
usepackage{diffcoeff}
begin{document}
begin{equation}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Bigg( & bigg[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & bigg]\
%&
- bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &bigg]Bigg)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
end{equation}
bigskip
begin{equation}
begin{medsize}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Biggl( & Biggl[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & Biggr]\
%&
- Biggl[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &Biggr]Biggr)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & biggl[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbiggr]
end{aligned}
end{medsize}
end{equation}
end{document}
answered Dec 18 at 15:14
Bernard
166k769193
add a comment |
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7
Do six lines. I changed the position of some of the brackets from before to after the summation sign and reduced the size.
Note that it should be bigl for a left delimiter and bigr for a right one (with the obvious variations for Big, bigg and Bigg).
documentclass{article}
usepackage{amsmath,bm}
begin{document}
begin{flalign}
begin{aligned}
frac{partial^2 ell}{partial bm{phi},partialbm{phi}'}={}&
begin{aligned}[t]
sum_{i=1}^{N-N^*}
biggl(,sum_{j=2}^{d_i-1}Bigl[
& -frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& +frac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}
{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
tilde{mathbf{Y}}_{d_i} tilde{mathbf{Y}}'_{d_i}Bigr]
\
-sum_{j=2}^{d_i-1}Bigl[
& frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_j
\
& +frac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
tilde{mathbf{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) tilde{mathbf{Y}}'_{d_i} Bigr]biggr)
end{aligned}
\
&begin{aligned}[t]
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}Bigl[
& frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& + frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_jBigr]
end{aligned}
end{aligned}
&&
end{flalign}
end{document}
I changed all mathbf{tilde{Y}} to tilde{mathbf{Y}} that's conceptually sounder. You may also want to use widetilde, but I don't recommend so.
answered Dec 18 at 14:08
egreg
709k8618823164
2
I'd be tempted to replace all instances ofmathbf{tilde{Y}}withwidetilde{mathbf{Y}}.
– Mico
Dec 18 at 14:14
3
@Mico It should betilde{mathbf{Y}}, much likely.
– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
add a comment |
7
Do six lines. I changed the position of some of the brackets from before to after the summation sign and reduced the size.
Note that it should be bigl for a left delimiter and bigr for a right one (with the obvious variations for Big, bigg and Bigg).
documentclass{article}
usepackage{amsmath,bm}
begin{document}
begin{flalign}
begin{aligned}
frac{partial^2 ell}{partial bm{phi},partialbm{phi}'}={}&
begin{aligned}[t]
sum_{i=1}^{N-N^*}
biggl(,sum_{j=2}^{d_i-1}Bigl[
& -frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& +frac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}
{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
tilde{mathbf{Y}}_{d_i} tilde{mathbf{Y}}'_{d_i}Bigr]
\
-sum_{j=2}^{d_i-1}Bigl[
& frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_j
\
& +frac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
tilde{mathbf{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) tilde{mathbf{Y}}'_{d_i} Bigr]biggr)
end{aligned}
\
&begin{aligned}[t]
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}Bigl[
& frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& + frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_jBigr]
end{aligned}
end{aligned}
&&
end{flalign}
end{document}
I changed all mathbf{tilde{Y}} to tilde{mathbf{Y}} that's conceptually sounder. You may also want to use widetilde, but I don't recommend so.
answered Dec 18 at 14:08
egreg
709k8618823164
2
I'd be tempted to replace all instances ofmathbf{tilde{Y}}withwidetilde{mathbf{Y}}.
– Mico
Dec 18 at 14:14
3
@Mico It should betilde{mathbf{Y}}, much likely.
– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
add a comment |
7
7
7
Do six lines. I changed the position of some of the brackets from before to after the summation sign and reduced the size.
Note that it should be bigl for a left delimiter and bigr for a right one (with the obvious variations for Big, bigg and Bigg).
documentclass{article}
usepackage{amsmath,bm}
begin{document}
begin{flalign}
begin{aligned}
frac{partial^2 ell}{partial bm{phi},partialbm{phi}'}={}&
begin{aligned}[t]
sum_{i=1}^{N-N^*}
biggl(,sum_{j=2}^{d_i-1}Bigl[
& -frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& +frac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}
{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
tilde{mathbf{Y}}_{d_i} tilde{mathbf{Y}}'_{d_i}Bigr]
\
-sum_{j=2}^{d_i-1}Bigl[
& frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_j
\
& +frac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
tilde{mathbf{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) tilde{mathbf{Y}}'_{d_i} Bigr]biggr)
end{aligned}
\
&begin{aligned}[t]
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}Bigl[
& frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& + frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_jBigr]
end{aligned}
end{aligned}
&&
end{flalign}
end{document}
I changed all mathbf{tilde{Y}} to tilde{mathbf{Y}} that's conceptually sounder. You may also want to use widetilde, but I don't recommend so.
answered Dec 18 at 14:08
egreg
709k8618823164
Do six lines. I changed the position of some of the brackets from before to after the summation sign and reduced the size.
Note that it should be bigl for a left delimiter and bigr for a right one (with the obvious variations for Big, bigg and Bigg).
documentclass{article}
usepackage{amsmath,bm}
begin{document}
begin{flalign}
begin{aligned}
frac{partial^2 ell}{partial bm{phi},partialbm{phi}'}={}&
begin{aligned}[t]
sum_{i=1}^{N-N^*}
biggl(,sum_{j=2}^{d_i-1}Bigl[
& -frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& +frac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}
{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
tilde{mathbf{Y}}_{d_i} tilde{mathbf{Y}}'_{d_i}Bigr]
\
-sum_{j=2}^{d_i-1}Bigl[
& frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_j
\
& +frac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
tilde{mathbf{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) tilde{mathbf{Y}}'_{d_i} Bigr]biggr)
end{aligned}
\
&begin{aligned}[t]
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}Bigl[
& frac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}
{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}
tilde{mathbf{Y}}_j tilde{mathbf{Y}}'_j
\
& + frac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
tilde{mathbf{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) tilde{mathbf{Y}}'_jBigr]
end{aligned}
end{aligned}
&&
end{flalign}
end{document}
I changed all mathbf{tilde{Y}} to tilde{mathbf{Y}} that's conceptually sounder. You may also want to use widetilde, but I don't recommend so.
answered Dec 18 at 14:08
egreg
709k8618823164
edited Dec 18 at 14:18
answered Dec 18 at 14:08
egreg
709k8618823164
answered Dec 18 at 14:08
egreg
709k8618823164
answered Dec 18 at 14:08
egreg
709k8618823164
709k8618823164
2
I'd be tempted to replace all instances ofmathbf{tilde{Y}}withwidetilde{mathbf{Y}}.
– Mico
Dec 18 at 14:14
3
@Mico It should betilde{mathbf{Y}}, much likely.
– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
add a comment |
2
I'd be tempted to replace all instances ofmathbf{tilde{Y}}withwidetilde{mathbf{Y}}.
– Mico
Dec 18 at 14:14
3
@Mico It should betilde{mathbf{Y}}, much likely.
– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
2
2
I'd be tempted to replace all instances of
mathbf{tilde{Y}} with widetilde{mathbf{Y}}.– Mico
Dec 18 at 14:14
I'd be tempted to replace all instances of
mathbf{tilde{Y}} with widetilde{mathbf{Y}}.– Mico
Dec 18 at 14:14
3
3
@Mico It should be
tilde{mathbf{Y}}, much likely.– egreg
Dec 18 at 14:16
@Mico It should be
tilde{mathbf{Y}}, much likely.– egreg
Dec 18 at 14:16
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
Nice touch to supply the missing inner brackets, by the way.
– Mico
Dec 18 at 14:18
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
@egreg it is really looks very nice
– N. I. ElZayat
Dec 18 at 14:32
add a comment |
3
Reduce the text size or make it spread into several lines.
begin{flalign}
{footnotesize
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}\&
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]
-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}}
end{flalign}
answered Dec 18 at 14:04
Litun John
1,21341320
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
And you remembered to check the log before you posted this? Hint:footnotesizeis not allowed in math mode.
– daleif
Dec 18 at 14:08
3
No error is not the same as not being correct. You getLaTeX Font Warning: Command footnotesize invalid in math modeif you look in the log. Never use text font resizing commands in math mode.
– daleif
Dec 18 at 14:16
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
|
show 2 more comments
3
Reduce the text size or make it spread into several lines.
begin{flalign}
{footnotesize
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}\&
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]
-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}}
end{flalign}
answered Dec 18 at 14:04
Litun John
1,21341320
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
And you remembered to check the log before you posted this? Hint:footnotesizeis not allowed in math mode.
– daleif
Dec 18 at 14:08
3
No error is not the same as not being correct. You getLaTeX Font Warning: Command footnotesize invalid in math modeif you look in the log. Never use text font resizing commands in math mode.
– daleif
Dec 18 at 14:16
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
|
show 2 more comments
3
3
3
Reduce the text size or make it spread into several lines.
begin{flalign}
{footnotesize
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}\&
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]
-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}}
end{flalign}
answered Dec 18 at 14:04
Litun John
1,21341320
Reduce the text size or make it spread into several lines.
begin{flalign}
{footnotesize
begin{aligned}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
&sum_{i=1}^{N-N^*} Bigg(bigg[sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}\&
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i}bigg]
-bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} bigg]Bigg)\
&-sum_{i=1}^{N^*} sum_{j=2}^{n_i}bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}}
end{flalign}
answered Dec 18 at 14:04
Litun John
1,21341320
answered Dec 18 at 14:04
Litun John
1,21341320
answered Dec 18 at 14:04
Litun John
1,21341320
answered Dec 18 at 14:04
Litun John
1,21341320
1,21341320
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
And you remembered to check the log before you posted this? Hint:footnotesizeis not allowed in math mode.
– daleif
Dec 18 at 14:08
3
No error is not the same as not being correct. You getLaTeX Font Warning: Command footnotesize invalid in math modeif you look in the log. Never use text font resizing commands in math mode.
– daleif
Dec 18 at 14:16
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
|
show 2 more comments
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
And you remembered to check the log before you posted this? Hint:footnotesizeis not allowed in math mode.
– daleif
Dec 18 at 14:08
3
No error is not the same as not being correct. You getLaTeX Font Warning: Command footnotesize invalid in math modeif you look in the log. Never use text font resizing commands in math mode.
– daleif
Dec 18 at 14:16
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
1
1
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
I just notice your answer, this is exactly what comes to my mind before I saw you answer
– N. I. ElZayat
Dec 18 at 14:06
1
1
And you remembered to check the log before you posted this? Hint:
footnotesize is not allowed in math mode.– daleif
Dec 18 at 14:08
And you remembered to check the log before you posted this? Hint:
footnotesize is not allowed in math mode.– daleif
Dec 18 at 14:08
3
3
No error is not the same as not being correct. You get
LaTeX Font Warning: Command footnotesize invalid in math mode if you look in the log. Never use text font resizing commands in math mode.– daleif
Dec 18 at 14:16
No error is not the same as not being correct. You get
LaTeX Font Warning: Command footnotesize invalid in math mode if you look in the log. Never use text font resizing commands in math mode.– daleif
Dec 18 at 14:16
2
2
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
It is still a bad practise that should be avoided in a good document design.
– daleif
Dec 18 at 14:47
2
2
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
Shrinking the font to make something fit is a bad idea regardless.
– JPi
Dec 18 at 17:04
|
show 2 more comments
3
I've made the code a bit more legible and changed Bigg( to Biggl( etc. Also, I'm using the multline environment from amsmath which is suitable here.
documentclass{article}
usepackage{amsmath}
usepackage{bm}
usepackage[margin=1in]{geometry}
newcommand{bP}{bm{P}}
newcommand{tY}{mathbf{tilde Y}}
begin{document}
begin{multline}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
sum_{i=1}^{N-N^*} Biggl(biggl[sum_{j=2}^{d_i-1} -;frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{id_i}'(1-bP_{id_i})'(1-bP_{id_i})}{(1-bP_{id_i})'(1-bP_{id_i})+bP_{id_i}'bP_{id_i}}
tY_{d_i} tY'_{d_i}biggr]\
-biggl[sum_{j=2}^{d_i-1} frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_j+frac{(1-bP_{id_i})}{bP'_{id_i}}
tY_{d_i} bP_{id_i}(1-bP_{id_i}) tY'_{d_i} biggr]Biggr)\
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}biggl[frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_jbiggr]
end{multline}
end{document}
answered Dec 18 at 14:18
JPi
9,57721450
add a comment |
3
I've made the code a bit more legible and changed Bigg( to Biggl( etc. Also, I'm using the multline environment from amsmath which is suitable here.
documentclass{article}
usepackage{amsmath}
usepackage{bm}
usepackage[margin=1in]{geometry}
newcommand{bP}{bm{P}}
newcommand{tY}{mathbf{tilde Y}}
begin{document}
begin{multline}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
sum_{i=1}^{N-N^*} Biggl(biggl[sum_{j=2}^{d_i-1} -;frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{id_i}'(1-bP_{id_i})'(1-bP_{id_i})}{(1-bP_{id_i})'(1-bP_{id_i})+bP_{id_i}'bP_{id_i}}
tY_{d_i} tY'_{d_i}biggr]\
-biggl[sum_{j=2}^{d_i-1} frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_j+frac{(1-bP_{id_i})}{bP'_{id_i}}
tY_{d_i} bP_{id_i}(1-bP_{id_i}) tY'_{d_i} biggr]Biggr)\
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}biggl[frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_jbiggr]
end{multline}
end{document}
answered Dec 18 at 14:18
JPi
9,57721450
add a comment |
3
3
3
I've made the code a bit more legible and changed Bigg( to Biggl( etc. Also, I'm using the multline environment from amsmath which is suitable here.
documentclass{article}
usepackage{amsmath}
usepackage{bm}
usepackage[margin=1in]{geometry}
newcommand{bP}{bm{P}}
newcommand{tY}{mathbf{tilde Y}}
begin{document}
begin{multline}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
sum_{i=1}^{N-N^*} Biggl(biggl[sum_{j=2}^{d_i-1} -;frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{id_i}'(1-bP_{id_i})'(1-bP_{id_i})}{(1-bP_{id_i})'(1-bP_{id_i})+bP_{id_i}'bP_{id_i}}
tY_{d_i} tY'_{d_i}biggr]\
-biggl[sum_{j=2}^{d_i-1} frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_j+frac{(1-bP_{id_i})}{bP'_{id_i}}
tY_{d_i} bP_{id_i}(1-bP_{id_i}) tY'_{d_i} biggr]Biggr)\
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}biggl[frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_jbiggr]
end{multline}
end{document}
answered Dec 18 at 14:18
JPi
9,57721450
I've made the code a bit more legible and changed Bigg( to Biggl( etc. Also, I'm using the multline environment from amsmath which is suitable here.
documentclass{article}
usepackage{amsmath}
usepackage{bm}
usepackage[margin=1in]{geometry}
newcommand{bP}{bm{P}}
newcommand{tY}{mathbf{tilde Y}}
begin{document}
begin{multline}
frac{partial^2 ell}{partial bm{phi}partialbm{phi}'}=
sum_{i=1}^{N-N^*} Biggl(biggl[sum_{j=2}^{d_i-1} -;frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{id_i}'(1-bP_{id_i})'(1-bP_{id_i})}{(1-bP_{id_i})'(1-bP_{id_i})+bP_{id_i}'bP_{id_i}}
tY_{d_i} tY'_{d_i}biggr]\
-biggl[sum_{j=2}^{d_i-1} frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_j+frac{(1-bP_{id_i})}{bP'_{id_i}}
tY_{d_i} bP_{id_i}(1-bP_{id_i}) tY'_{d_i} biggr]Biggr)\
-sum_{i=1}^{N^*} sum_{j=2}^{n_i}biggl[frac{bP_{ij}'bP_{ij} (1-bP_{ij})'}{(1-bP_{ij})'(1-bP_{ij})+bP_{ij}'bP_{ij}}tY_j tY'_j + frac{bP_{ij}}{(1-bP_{ij})'}
tY_j bP_{ij}(1-bP_{ij}) tY'_jbiggr]
end{multline}
end{document}
answered Dec 18 at 14:18
JPi
9,57721450
answered Dec 18 at 14:18
JPi
9,57721450
answered Dec 18 at 14:18
JPi
9,57721450
answered Dec 18 at 14:18
JPi
9,57721450
9,57721450
add a comment |
add a comment |
2
I propose this, with package geometry. If you have the default layout with large margins, you can nest the equation contents in a medsize environment from nccmath (~ 80% of previous size):
documentclass{article}
usepackage{geometry}
usepackage{showframe}
renewcommand{ShowFrameLinethickness}{0.3pt}
usepackage{amsmath, bm, nccmath}
usepackage{diffcoeff}
begin{document}
begin{equation}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Bigg( & bigg[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & bigg]\
%&
- bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &bigg]Bigg)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
end{equation}
bigskip
begin{equation}
begin{medsize}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Biggl( & Biggl[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & Biggr]\
%&
- Biggl[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &Biggr]Biggr)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & biggl[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbiggr]
end{aligned}
end{medsize}
end{equation}
end{document}
answered Dec 18 at 15:14
Bernard
166k769193
add a comment |
2
I propose this, with package geometry. If you have the default layout with large margins, you can nest the equation contents in a medsize environment from nccmath (~ 80% of previous size):
documentclass{article}
usepackage{geometry}
usepackage{showframe}
renewcommand{ShowFrameLinethickness}{0.3pt}
usepackage{amsmath, bm, nccmath}
usepackage{diffcoeff}
begin{document}
begin{equation}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Bigg( & bigg[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & bigg]\
%&
- bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &bigg]Bigg)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
end{equation}
bigskip
begin{equation}
begin{medsize}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Biggl( & Biggl[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & Biggr]\
%&
- Biggl[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &Biggr]Biggr)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & biggl[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbiggr]
end{aligned}
end{medsize}
end{equation}
end{document}
answered Dec 18 at 15:14
Bernard
166k769193
add a comment |
2
2
2
I propose this, with package geometry. If you have the default layout with large margins, you can nest the equation contents in a medsize environment from nccmath (~ 80% of previous size):
documentclass{article}
usepackage{geometry}
usepackage{showframe}
renewcommand{ShowFrameLinethickness}{0.3pt}
usepackage{amsmath, bm, nccmath}
usepackage{diffcoeff}
begin{document}
begin{equation}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Bigg( & bigg[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & bigg]\
%&
- bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &bigg]Bigg)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
end{equation}
bigskip
begin{equation}
begin{medsize}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Biggl( & Biggl[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & Biggr]\
%&
- Biggl[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &Biggr]Biggr)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & biggl[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbiggr]
end{aligned}
end{medsize}
end{equation}
end{document}
answered Dec 18 at 15:14
Bernard
166k769193
I propose this, with package geometry. If you have the default layout with large margins, you can nest the equation contents in a medsize environment from nccmath (~ 80% of previous size):
documentclass{article}
usepackage{geometry}
usepackage{showframe}
renewcommand{ShowFrameLinethickness}{0.3pt}
usepackage{amsmath, bm, nccmath}
usepackage{diffcoeff}
begin{document}
begin{equation}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Bigg( & bigg[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & bigg]\
%&
- bigg[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &bigg]Bigg)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & bigg[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbigg]
end{aligned}
end{equation}
bigskip
begin{equation}
begin{medsize}
begin{aligned}diffp[1,1]{ell}{bm{phi},bm{phi}'} =
sum_{i=1}^{N-N^*} Biggl( & Biggl[begin{aligned}[t]sum_{j=2}^{d_i-1} -;tfrac{bm{P}_{ij}'
bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{id_i}'(1-bm{P}_{id_i})'(1-bm{P}_{id_i})}{(1-bm{P}_{id_i})'(1-bm{P}_{id_i})+bm{P}_{id_i}'bm{P}_{id_i}}
mathbf{tilde{Y}}_{d_i} mathbf{tilde{Y}}'_{d_i} & Biggr]\
%&
- Biggl[sum_{j=2}^{d_i-1} tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_j+tfrac{(1-bm{P}_{id_i})}{bm{P}'_{id_i}}
mathbf{tilde{Y}}_{d_i} bm{P}_{id_i}(1-bm{P}_{id_i}) mathbf{tilde{Y}}'_{d_i} &Biggr]Biggr)
end{aligned}\
% &
-sum_{i=1}^{N^*} sum_{j=2}^{n_i} & biggl[tfrac{bm{P}_{ij}'bm{P}_{ij} (1-bm{P}_{ij})'}{(1-bm{P}_{ij})'(1-bm{P}_{ij})+bm{P}_{ij}'bm{P}_{ij}}mathbf{tilde{Y}}_j mathbf{tilde{Y}}'_j + tfrac{bm{P}_{ij}}{(1-bm{P}_{ij})'}
mathbf{tilde{Y}}_j bm{P}_{ij}(1-bm{P}_{ij}) mathbf{tilde{Y}}'_jbiggr]
end{aligned}
end{medsize}
end{equation}
end{document}
answered Dec 18 at 15:14
Bernard
166k769193
answered Dec 18 at 15:14
Bernard
166k769193
answered Dec 18 at 15:14
Bernard
166k769193
answered Dec 18 at 15:14
Bernard
166k769193
166k769193
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1
Please do not post code snippets - create minimal working examples (MWEs) instead.
– epR8GaYuh
Dec 18 at 13:29
I post it as it is because the equation is splitted in many line. I can't compile the above code here to show how it is very messy
– N. I. ElZayat
Dec 18 at 13:33
1
Please state, in words, what you would like to achieve. Please also state what the main font size is and how wide the text block is.
– Mico
Dec 18 at 13:37
1
Do you use the default layout (with a very large outer margin) or do you customise your layout (say with
geometry)?– Bernard
Dec 18 at 13:54
2
The combination of
footnotesizeandtfracmakes reading the material quite a chore -- unless a free magnifying glass is handed out...– Mico
Dec 18 at 15:06