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Chapter 8 - Superscripts and Subscripts

Verbose Brief Super-Brief
Level Indicators
Base Line Baseline Base Base
Superscript Superscript Sup (pronounced "soup") Sup (pronounced "soup")
Superscript with Superscript Super Superscript Sup Sup Sup Sup
Superscript with Subscript Super Subscript Sup Sub Sup Sub
Subscript Subscript Sub Sub
Subscript with Superscript Sub Superscript Sub Sup Sub Sup
Subscript with Subscript Sub Subscript Sub Sub Sub Sub
Rule 8.1 - ID: scripts_QCK1
Applies To
Exponents that are 2 or 3
Description
Exponents that are 2 or 3 are interpreted as "squared" and "cubed" respectively. If possible, this rule should not be used when superscripts are used for purposes other than exponents, such as footnotes.
Example 2scripts_QCK1-05
Example as described below.
verbose
StartFraction d squared y Over d x squared EndFraction plus left-parenthesis a x squared plus b x plus c right-parenthesis y equals 0
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brief
StartFrac d squared y Over d x squared EndFrac plus left-p'ren a x squared plus b x plus c right-p'ren y equals 0
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superbrief
Frac d squared y Over d x squared EndFrac plus L p'ren a x squared plus b x plus c R p'ren y equals 0
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Comment on example 2
Comment on rule 8.1
Rule 8.3 - ID: scripts_CPLX1
Description
The initiated script level is continued until a new level is stated.
Example 2scripts_CPLX1-02
Example as described below.
verbose
Upper T Subscript n minus 1 Baseline plus 5 equals 0
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brief
Upper T Sub n minus 1 Base plus 5 equals 0
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superbrief
Upper T Sub n minus 1 Base plus 5 equals 0
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Comment on example 2
Example 3scripts_CPLX1-03
Example as described below.
verbose
x Superscript m plus n Baseline equals x Superscript m Baseline x Superscript n
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brief
x Sup m plus n Base equals x Sup m Base x Sup n
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superbrief
x Sup m plus n Base equals x Sup m Base x Sup n
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Comment on example 3
Comment on rule 8.3
Rule 8.4 - ID: scripts_CPLX2
Description
The script level indicators always indicate the absolute position to the baseline.
Example 2scripts_CPLX2-02
Example as described below.
verbose
x Superscript a Super Subscript b
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brief
x Sup a Sup Sub b
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superbrief
x Sup a Sup Sub b
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Comment on example 2
Example 3scripts_CPLX2-03
Example as described below.
verbose
x Subscript a Sub Superscript b
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brief
x Sub a Sub Sup b
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superbrief
x Sub a Sub Sup b
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Comment on example 3
Example 4scripts_CPLX2-05
Example as described below.
verbose
y Superscript a Super Superscript b Super Super Subscript c Baseline not-equals y Superscript a Super Superscript b Superscript c
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brief
y Sup a Sup Sup b Sup Sup Sub c Base not-equals y Sup a Sup Sup b Sup c
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superbrief
y Sup a Sup Sup b Sup Sup Sub c Base not-equals y Sup a Sup Sup b Sup c
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Comment on example 4
Example 5scripts_CPLX2-06
Example as described below.
verbose
y Superscript a Super Super Subscript c Super Superscript b
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brief
y Sup a Sup Sup Sub c Sup Sup b
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superbrief
y Sup a Sup Sup Sub c Sup Sup b
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Comment on example 5
Example 6scripts_CPLX2-01
Example as described below.
verbose
x Superscript a Super Superscript b
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brief
x Sup a Sup Sup b
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superbrief
x Sup a Sup Sup b
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Comment on example 6
Example 7scripts_CPLX2-04
Example as described below.
verbose
x Subscript a Sub Subscript b
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brief
x Sub a Sub Sub b
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superbrief
x Sub a Sub Sub b
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Comment on example 7
Example 8scripts_CPLX2-21
Example as described below.
verbose
Upper T Superscript left-parenthesis x Super Superscript a Superscript plus y Super Superscript b Superscript right-parenthesis
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brief
Upper T Sup left-p'ren x Sup Sup a Sup plus y Sup Sup b Sup right-p'ren
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superbrief
Upper T Sup L p'ren x Sup Sup a Sup plus y Sup Sup b Sup R p'ren
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Comment on example 8
Comment on rule 8.4
Rule 8.5 - ID: scripts_NSUB1
Conditions
The number must contain only digits, commas, and a decimal point and no part of it may be spelled out. It must be a subscript to a letter.
Description
Numeric subscripts do not indicate their lowered script and the current script does not need to be reinstated.
Example 2scripts_NSUB1-10
Example as described below.
verbose
x Subscript negative 1
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brief
x Sub negative 1
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superbrief
x Sub negative 1
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Comment on example 2
Example 3scripts_NSUB1-02
Example as described below.
verbose
x 10,000
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brief
x 10,000
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superbrief
x 10,000
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Comment on example 3
Example 4scripts_NSUB1-03
Example as described below.
verbose
x 1.3
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brief
x 1.3
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superbrief
x 1.3
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Comment on example 4
Example 5scripts_NSUB1-20
Example as described below.
verbose
4 Upper F e plus 3 Upper O 2 right-arrow 2 Upper F e 2 Upper O 3
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brief
4 Upper F e plus 3 Upper O 2 right-arrow 2 Upper F e 2 Upper O 3
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superbrief
4 Upper F e plus 3 Upper O 2 R arrow 2 Upper F e 2 Upper O 3
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Comment on example 5
Example 6scripts_NSUB1-11
Example as described below.
verbose
a Subscript 2 comma 3
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brief
a Sub 2 comma 3
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superbrief
a Sub 2 comma 3
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Comment on example 6
Example 7scripts_NSUB1-05
Example as described below.
verbose
Upper T Subscript n 1 plus n 0
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brief
Upper T Sub n 1 plus n 0
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superbrief
Upper T Sub n 1 plus n 0
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Comment on example 7
Example 8scripts_NSUB1-21
Example as described below.
verbose
log Subscript 2 Baseline left-parenthesis x right-parenthesis equals StartFraction log Subscript 10 Baseline left-parenthesis x right-parenthesis Over log Subscript 10 Baseline left-parenthesis 2 right-parenthesis EndFraction
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brief
log Sub 2 Base left-p'ren x right-p'ren equals StartFrac log Sub 10 Base left-p'ren x right-p'ren Over log Sub 10 Base left-p'ren 2 right-p'ren EndFrac
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superbrief
log Sub 2 Base L p'ren x R p'ren equals Frac log Sub 10 Base L p'ren x R p'ren Over log Sub 10 Base L p'ren 2 R p'ren EndFrac
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Comment on example 8
Example 9scripts_NSUB1-04
Example as described below.
verbose
Upper Phi 5
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brief
Upper Phi 5
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superbrief
Upper Phi 5
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Comment on example 9
Example 10scripts_NSUB1-12
Example as described below.
verbose
l n x equals Integral Subscript 1 Superscript x Baseline StartFraction d t Over t EndFraction
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brief
l n x equals Integral Sub 1 Sup x Base StartFrac d t Over t EndFrac
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superbrief
l n x equals Integral Sub 1 Sup x Base Frac d t Over t EndFrac
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Note: This example should actually say "l n space x" to make it clear that there is a space between the natural logarithm and the x.
Comment on example 10
Comment on rule 8.5
Rule 8.9 - ID: scripts_PRI1
Applies To
Primes
Description
Primes (single, double, or triple) have an implied relative superscript level.
Example 2scripts_PRI1-02
Example as described below.
verbose
f triple-prime left-parenthesis y right-parenthesis equals StartFraction d f double-prime left-parenthesis y right-parenthesis Over d y EndFraction
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brief
f triple-prime left-p'ren y right-p'ren equals StartFrac d f double-prime left-p'ren y right-p'ren Over d y EndFrac
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superbrief
f triple-prime L p'ren y R p'ren equals Frac d f double-prime L p'ren y R p'ren Over d y EndFrac
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Comment on example 2
Comment on rule 8.9
Comment on Chapter 8