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Justify of equation to better explanation

How to justify text that contains inline-style equations?Better spacing for justified text by increasing hyphenationHow to justify only the first column of this user-defined tabular environment **while using ragged2e**? [UPDATED]How to justify the text in LaTex reports?Justifying table text to match text margins?Is there an automatic way to justify a text vertically?

.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;

2

I am trying to create pure inequality like this

But I have:

documentclassarticle

usepackageamsmath

begindocument
[
intf_i leq 
||f_1||_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1
]

[
= ||f_1||_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
]

enddocument

justification

share|improve this question

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

add a comment
 | 

2

I am trying to create pure inequality like this

But I have:

documentclassarticle

usepackageamsmath

begindocument
[
intf_i leq 
||f_1||_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1
]

[
= ||f_1||_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
]

enddocument

justification

share|improve this question

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

add a comment
 | 

I am trying to create pure inequality like this

But I have:

documentclassarticle

usepackageamsmath

begindocument
[
intf_i leq 
||f_1||_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1
]

[
= ||f_1||_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
]

enddocument

justification

share|improve this question

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

documentclassarticle

usepackageamsmath

begindocument
[
intf_i leq 
||f_1||_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1
]

[
= ||f_1||_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
]

enddocument

share|improve this question

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

share|improve this question

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

asked 9 hours ago

Martin Inf1n1tyMartin Inf1n1ty

2566 bronze badges

2 Answers
2

active

oldest

votes

4

Some suggestions:

• use an align environment to contain both rows of the display-math material




• use a notag instruction in the first row to suppress the typesetting of an equation number




• use biggl and biggr for all large parentheses and brackets




• load the mathtools package -- a superset of the amsmath package -- and define macros called abs and norm. This'll make reading the input code much easier




• optional: place brackets around the exponent of absf_i to help readers figure out what's going on

documentclassarticle
usepackagemathtools % for 'DeclarePairedDelimiter' macro
DeclarePairedDelimiterabslvertrvert
DeclarePairedDelimiternormlVertrVert

begindocument
beginalign
int prod_i=1^m+1 absf_i,dmu
&leq normf_1_p_1
biggl[, 
prod_i=2^m+1
 biggl(
 int|f_i|^[p_1/(p_1-1) p_i(p_1-1)/p_1],dmu
 biggr)^!p_1/p_i(p_1-1)
,biggr]^(p_1-1)/p_1notag\
&= normf_1_p_1
prod_i=2^m+1
 biggl(
 int|f_i|^p_i ,dmu
 biggr)^!1/p_i
endalign
enddocument

share|improve this answer

edited 7 hours ago

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Many thanks @mico !
  
  – Martin Inf1n1ty
  8 hours ago
  
  

  
  
  
  

add a comment
 | 

3

With the help of split and a slightly smaller margin using the geometry package you can achieve the following output:

documentclassarticle
usepackagegeometry
usepackageamsmath

begindocument
beginequation
beginsplit
intf_i &leq 
|f_1|_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1\
&= |f_1|_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
 endsplit
endequation

enddocument

share|improve this answer

edited 9 hours ago

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  Also, consider using | | for the norm.
  
  – Sigur
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: Thanks for reminding me. I have incorporated that into my answer.
  
  – leandriis
  9 hours ago
  

  
  
  
  

add a comment
 | 

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4

Some suggestions:

• use an align environment to contain both rows of the display-math material




• use a notag instruction in the first row to suppress the typesetting of an equation number




• use biggl and biggr for all large parentheses and brackets




• load the mathtools package -- a superset of the amsmath package -- and define macros called abs and norm. This'll make reading the input code much easier




• optional: place brackets around the exponent of absf_i to help readers figure out what's going on

documentclassarticle
usepackagemathtools % for 'DeclarePairedDelimiter' macro
DeclarePairedDelimiterabslvertrvert
DeclarePairedDelimiternormlVertrVert

begindocument
beginalign
int prod_i=1^m+1 absf_i,dmu
&leq normf_1_p_1
biggl[, 
prod_i=2^m+1
 biggl(
 int|f_i|^[p_1/(p_1-1) p_i(p_1-1)/p_1],dmu
 biggr)^!p_1/p_i(p_1-1)
,biggr]^(p_1-1)/p_1notag\
&= normf_1_p_1
prod_i=2^m+1
 biggl(
 int|f_i|^p_i ,dmu
 biggr)^!1/p_i
endalign
enddocument

share|improve this answer

edited 7 hours ago

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Many thanks @mico !
  
  – Martin Inf1n1ty
  8 hours ago
  
  

  
  
  
  

add a comment
 | 

4

Some suggestions:

• use an align environment to contain both rows of the display-math material




• use a notag instruction in the first row to suppress the typesetting of an equation number




• use biggl and biggr for all large parentheses and brackets




• load the mathtools package -- a superset of the amsmath package -- and define macros called abs and norm. This'll make reading the input code much easier




• optional: place brackets around the exponent of absf_i to help readers figure out what's going on

documentclassarticle
usepackagemathtools % for 'DeclarePairedDelimiter' macro
DeclarePairedDelimiterabslvertrvert
DeclarePairedDelimiternormlVertrVert

begindocument
beginalign
int prod_i=1^m+1 absf_i,dmu
&leq normf_1_p_1
biggl[, 
prod_i=2^m+1
 biggl(
 int|f_i|^[p_1/(p_1-1) p_i(p_1-1)/p_1],dmu
 biggr)^!p_1/p_i(p_1-1)
,biggr]^(p_1-1)/p_1notag\
&= normf_1_p_1
prod_i=2^m+1
 biggl(
 int|f_i|^p_i ,dmu
 biggr)^!1/p_i
endalign
enddocument

share|improve this answer

edited 7 hours ago

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Many thanks @mico !
  
  – Martin Inf1n1ty
  8 hours ago
  
  

  
  
  
  

add a comment
 | 

Some suggestions:

• use an align environment to contain both rows of the display-math material




• use a notag instruction in the first row to suppress the typesetting of an equation number




• use biggl and biggr for all large parentheses and brackets




• load the mathtools package -- a superset of the amsmath package -- and define macros called abs and norm. This'll make reading the input code much easier




• optional: place brackets around the exponent of absf_i to help readers figure out what's going on

documentclassarticle
usepackagemathtools % for 'DeclarePairedDelimiter' macro
DeclarePairedDelimiterabslvertrvert
DeclarePairedDelimiternormlVertrVert

begindocument
beginalign
int prod_i=1^m+1 absf_i,dmu
&leq normf_1_p_1
biggl[, 
prod_i=2^m+1
 biggl(
 int|f_i|^[p_1/(p_1-1) p_i(p_1-1)/p_1],dmu
 biggr)^!p_1/p_i(p_1-1)
,biggr]^(p_1-1)/p_1notag\
&= normf_1_p_1
prod_i=2^m+1
 biggl(
 int|f_i|^p_i ,dmu
 biggr)^!1/p_i
endalign
enddocument

share|improve this answer

edited 7 hours ago

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

documentclassarticle
usepackagemathtools % for 'DeclarePairedDelimiter' macro
DeclarePairedDelimiterabslvertrvert
DeclarePairedDelimiternormlVertrVert

begindocument
beginalign
int prod_i=1^m+1 absf_i,dmu
&leq normf_1_p_1
biggl[, 
prod_i=2^m+1
 biggl(
 int|f_i|^[p_1/(p_1-1) p_i(p_1-1)/p_1],dmu
 biggr)^!p_1/p_i(p_1-1)
,biggr]^(p_1-1)/p_1notag\
&= normf_1_p_1
prod_i=2^m+1
 biggl(
 int|f_i|^p_i ,dmu
 biggr)^!1/p_i
endalign
enddocument

share|improve this answer

edited 7 hours ago

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

answered 8 hours ago

MicoMico

307k3333 gold badges424424 silver badges836836 bronze badges

3

With the help of split and a slightly smaller margin using the geometry package you can achieve the following output:

documentclassarticle
usepackagegeometry
usepackageamsmath

begindocument
beginequation
beginsplit
intf_i &leq 
|f_1|_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1\
&= |f_1|_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
 endsplit
endequation

enddocument

share|improve this answer

edited 9 hours ago

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  Also, consider using | | for the norm.
  
  – Sigur
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: Thanks for reminding me. I have incorporated that into my answer.
  
  – leandriis
  9 hours ago
  

  
  
  
  

add a comment
 | 

3

With the help of split and a slightly smaller margin using the geometry package you can achieve the following output:

documentclassarticle
usepackagegeometry
usepackageamsmath

begindocument
beginequation
beginsplit
intf_i &leq 
|f_1|_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1\
&= |f_1|_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
 endsplit
endequation

enddocument

share|improve this answer

edited 9 hours ago

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  
  Also, consider using | | for the norm.
  
  – Sigur
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @Sigur: Thanks for reminding me. I have incorporated that into my answer.
  
  – leandriis
  9 hours ago
  

  
  
  
  

add a comment
 | 

With the help of split and a slightly smaller margin using the geometry package you can achieve the following output:

documentclassarticle
usepackagegeometry
usepackageamsmath

begindocument
beginequation
beginsplit
intf_i &leq 
|f_1|_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1\
&= |f_1|_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
 endsplit
endequation

enddocument

share|improve this answer

edited 9 hours ago

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

documentclassarticle
usepackagegeometry
usepackageamsmath

begindocument
beginequation
beginsplit
intf_i &leq 
|f_1|_p_1
left[ 
prod_i=2^m+1
 left(
 int|f_i|^p_1/(p_1-1) p_i(p_1-1)/p_1dmu
 right)^p_1/p_i(p_1-1)
right]^(p_1-1)/p_1\
&= |f_1|_p_1
prod_i=2^m+1
 left(
 int|f_i|^p_i dmu
 right)^frac1p_i
 endsplit
endequation

enddocument

share|improve this answer

edited 9 hours ago

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges

answered 9 hours ago

leandriisleandriis

21.6k11 gold badge1212 silver badges4141 bronze badges