How to negate a rubber length?
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Mathematically, if you negate the points from the interval [2,5] pointwise, you'd get the interval [-5,-2]. Having said that, I'd expect that if you negate 3pt plus2pt minus1pt, you'd get -3pt minus2pt plus1pt. How to actually compute these rubber lengths? As a start, running pdflatex on
documentclassarticle
newlengthmyLength
begindocument
setlengthmyLength3pt plus2pt minus1pt
setlengthmyLength-myLength
themyLength
enddocument
spits out
-3.0pt plus -2.0pt minus -1.0pt
which is similar for a human reader but overly complicated and might be not what we want.
lengths
asked Dec 13 at 23:01
user49915
48816
add a comment |
Mathematically, if you negate the points from the interval [2,5] pointwise, you'd get the interval [-5,-2]. Having said that, I'd expect that if you negate 3pt plus2pt minus1pt, you'd get -3pt minus2pt plus1pt. How to actually compute these rubber lengths? As a start, running pdflatex on
documentclassarticle
newlengthmyLength
begindocument
setlengthmyLength3pt plus2pt minus1pt
setlengthmyLength-myLength
themyLength
enddocument
spits out
-3.0pt plus -2.0pt minus -1.0pt
which is similar for a human reader but overly complicated and might be not what we want.
lengths
asked Dec 13 at 23:01
user49915
48816
add a comment |
Mathematically, if you negate the points from the interval [2,5] pointwise, you'd get the interval [-5,-2]. Having said that, I'd expect that if you negate 3pt plus2pt minus1pt, you'd get -3pt minus2pt plus1pt. How to actually compute these rubber lengths? As a start, running pdflatex on
documentclassarticle
newlengthmyLength
begindocument
setlengthmyLength3pt plus2pt minus1pt
setlengthmyLength-myLength
themyLength
enddocument
spits out
-3.0pt plus -2.0pt minus -1.0pt
which is similar for a human reader but overly complicated and might be not what we want.
lengths
asked Dec 13 at 23:01
user49915
48816
Mathematically, if you negate the points from the interval [2,5] pointwise, you'd get the interval [-5,-2]. Having said that, I'd expect that if you negate 3pt plus2pt minus1pt, you'd get -3pt minus2pt plus1pt. How to actually compute these rubber lengths? As a start, running pdflatex on
documentclassarticle
newlengthmyLength
begindocument
setlengthmyLength3pt plus2pt minus1pt
setlengthmyLength-myLength
themyLength
enddocument
spits out
-3.0pt plus -2.0pt minus -1.0pt
which is similar for a human reader but overly complicated and might be not what we want.
lengths
lengths
asked Dec 13 at 23:01
user49915
48816
asked Dec 13 at 23:01
user49915
48816
asked Dec 13 at 23:01
user49915
48816
asked Dec 13 at 23:01
user49915
48816
asked Dec 13 at 23:01
user49915
48816
48816
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
If you want to cancel out glue having natural width 3pt, stretch component 2pt and shrink component 1pt, you have to emit glue in the amount of
-3pt plus -2pt minus -1pt
Stretch and shrink components are unrelated and TeX will use only one of them at a time (or neither). If a line or page has to be stretched, only the stretch components are taken into account and similarly if the line or page has to be shrinked.
If Knuth had chosen to express rubber lengths as
<natural width> stretchable <stretch component> shrinkable <shrink component>
your doubt would probably not have arisen.
Another view on the point you make. Specifying 3pt plus 2pt minus 1pt does not mean that any space from 2pt to 5pt can be used.
It means instead that, when shrinking is necessary, the final space will be between 2pt and 3pt; when stretching, the optimal space will be between 3pt and 5pt, but it can become larger at the expense of line/page badness.
If you say
documentclassarticle
begindocument
rule100pt0.4pt
makebox[100pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
the output would be
so the glue has been stretched much more than 2pt; however the warning
Underfull hbox (badness 10000) detected at line 9
OT1/cmr/m/n/10 a z
will be issued. To the contrary,
documentclass[draft]article
usepackagecalc
begindocument
rulewidthofaz+1pt0.4pt
makebox[widthofaz+1pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
would output
with an overfull box that cannot shrink to the required size, because the glue will never go below 2pt.
Again, only the stretch component or the shrink component will be used.
answered Dec 13 at 23:22
egreg
707k8618793160
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
If you want to cancel out glue having natural width 3pt, stretch component 2pt and shrink component 1pt, you have to emit glue in the amount of
-3pt plus -2pt minus -1pt
Stretch and shrink components are unrelated and TeX will use only one of them at a time (or neither). If a line or page has to be stretched, only the stretch components are taken into account and similarly if the line or page has to be shrinked.
If Knuth had chosen to express rubber lengths as
<natural width> stretchable <stretch component> shrinkable <shrink component>
your doubt would probably not have arisen.
Another view on the point you make. Specifying 3pt plus 2pt minus 1pt does not mean that any space from 2pt to 5pt can be used.
It means instead that, when shrinking is necessary, the final space will be between 2pt and 3pt; when stretching, the optimal space will be between 3pt and 5pt, but it can become larger at the expense of line/page badness.
If you say
documentclassarticle
begindocument
rule100pt0.4pt
makebox[100pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
the output would be
so the glue has been stretched much more than 2pt; however the warning
Underfull hbox (badness 10000) detected at line 9
OT1/cmr/m/n/10 a z
will be issued. To the contrary,
documentclass[draft]article
usepackagecalc
begindocument
rulewidthofaz+1pt0.4pt
makebox[widthofaz+1pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
would output
with an overfull box that cannot shrink to the required size, because the glue will never go below 2pt.
Again, only the stretch component or the shrink component will be used.
answered Dec 13 at 23:22
egreg
707k8618793160
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
add a comment |
If you want to cancel out glue having natural width 3pt, stretch component 2pt and shrink component 1pt, you have to emit glue in the amount of
-3pt plus -2pt minus -1pt
Stretch and shrink components are unrelated and TeX will use only one of them at a time (or neither). If a line or page has to be stretched, only the stretch components are taken into account and similarly if the line or page has to be shrinked.
If Knuth had chosen to express rubber lengths as
<natural width> stretchable <stretch component> shrinkable <shrink component>
your doubt would probably not have arisen.
Another view on the point you make. Specifying 3pt plus 2pt minus 1pt does not mean that any space from 2pt to 5pt can be used.
It means instead that, when shrinking is necessary, the final space will be between 2pt and 3pt; when stretching, the optimal space will be between 3pt and 5pt, but it can become larger at the expense of line/page badness.
If you say
documentclassarticle
begindocument
rule100pt0.4pt
makebox[100pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
the output would be
so the glue has been stretched much more than 2pt; however the warning
Underfull hbox (badness 10000) detected at line 9
OT1/cmr/m/n/10 a z
will be issued. To the contrary,
documentclass[draft]article
usepackagecalc
begindocument
rulewidthofaz+1pt0.4pt
makebox[widthofaz+1pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
would output
with an overfull box that cannot shrink to the required size, because the glue will never go below 2pt.
Again, only the stretch component or the shrink component will be used.
answered Dec 13 at 23:22
egreg
707k8618793160
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
add a comment |
If you want to cancel out glue having natural width 3pt, stretch component 2pt and shrink component 1pt, you have to emit glue in the amount of
-3pt plus -2pt minus -1pt
Stretch and shrink components are unrelated and TeX will use only one of them at a time (or neither). If a line or page has to be stretched, only the stretch components are taken into account and similarly if the line or page has to be shrinked.
If Knuth had chosen to express rubber lengths as
<natural width> stretchable <stretch component> shrinkable <shrink component>
your doubt would probably not have arisen.
Another view on the point you make. Specifying 3pt plus 2pt minus 1pt does not mean that any space from 2pt to 5pt can be used.
It means instead that, when shrinking is necessary, the final space will be between 2pt and 3pt; when stretching, the optimal space will be between 3pt and 5pt, but it can become larger at the expense of line/page badness.
If you say
documentclassarticle
begindocument
rule100pt0.4pt
makebox[100pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
the output would be
so the glue has been stretched much more than 2pt; however the warning
Underfull hbox (badness 10000) detected at line 9
OT1/cmr/m/n/10 a z
will be issued. To the contrary,
documentclass[draft]article
usepackagecalc
begindocument
rulewidthofaz+1pt0.4pt
makebox[widthofaz+1pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
would output
with an overfull box that cannot shrink to the required size, because the glue will never go below 2pt.
Again, only the stretch component or the shrink component will be used.
answered Dec 13 at 23:22
egreg
707k8618793160
If you want to cancel out glue having natural width 3pt, stretch component 2pt and shrink component 1pt, you have to emit glue in the amount of
-3pt plus -2pt minus -1pt
Stretch and shrink components are unrelated and TeX will use only one of them at a time (or neither). If a line or page has to be stretched, only the stretch components are taken into account and similarly if the line or page has to be shrinked.
If Knuth had chosen to express rubber lengths as
<natural width> stretchable <stretch component> shrinkable <shrink component>
your doubt would probably not have arisen.
Another view on the point you make. Specifying 3pt plus 2pt minus 1pt does not mean that any space from 2pt to 5pt can be used.
It means instead that, when shrinking is necessary, the final space will be between 2pt and 3pt; when stretching, the optimal space will be between 3pt and 5pt, but it can become larger at the expense of line/page badness.
If you say
documentclassarticle
begindocument
rule100pt0.4pt
makebox[100pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
the output would be
so the glue has been stretched much more than 2pt; however the warning
Underfull hbox (badness 10000) detected at line 9
OT1/cmr/m/n/10 a z
will be issued. To the contrary,
documentclass[draft]article
usepackagecalc
begindocument
rulewidthofaz+1pt0.4pt
makebox[widthofaz+1pt][s]ahspace3pt plus 2pt minus 1ptz
enddocument
would output
with an overfull box that cannot shrink to the required size, because the glue will never go below 2pt.
Again, only the stretch component or the shrink component will be used.
answered Dec 13 at 23:22
egreg
707k8618793160
edited Dec 13 at 23:39
answered Dec 13 at 23:22
egreg
707k8618793160
answered Dec 13 at 23:22
egreg
707k8618793160
answered Dec 13 at 23:22
egreg
707k8618793160
707k8618793160
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
add a comment |
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
In other terms, you are saying that the interpretation of the notation "x plus y minus z" is not a single interval. Merely, it's closer to two intervals used for different purposes.
– user49915
Dec 14 at 0:43
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
@user49915 Yes, that's another way to say it.
– egreg
Dec 14 at 7:41
add a comment |
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