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 1scripts_QCK1-04
|
verbose |
x cubed plus 6 x squared minus x equals 30 |
 |
|
brief |
x cubed plus 6 x squared minus x equals 30 |
|
|
superbrief |
x cubed plus 6 x squared minus x equals 30 |
|
Example 2scripts_QCK1-05
|
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 |
|
|
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 |
|
|
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 |
|
Rule 8.2 - ID: scripts_SIM1
Description
The indicators for superscript and subscript indicates a raised or lowered script level when used from the base level.
Example 1scripts_SIM1-03
|
verbose |
x Superscript
one-half |
|
|
brief |
x Sup
one-half |
|
|
superbrief |
x Sup
one-half |
|
Example 2scripts_SIM1-01
|
verbose |
x Superscript
a |
|
|
brief |
x Sup
a |
|
|
superbrief |
x Sup
a |
|
Example 3scripts_SIM1-02
|
verbose |
x Subscript
n |
|
|
brief |
x Sub
n |
|
|
superbrief |
x Sub
n |
|
Rule 8.3 - ID: scripts_CPLX1
Description
The initiated script level is continued until a new level is stated.
Example 1scripts_CPLX1-02
|
verbose |
Upper
T Subscript
n minus 1 Baseline
plus 5 equals 0 |
|
|
brief |
Upper
T Sub
n minus 1 Base
plus 5 equals 0 |
|
|
superbrief |
Upper
T Sub
n minus 1 Base
plus 5 equals 0 |
|
Example 2scripts_CPLX1-03
|
verbose |
x Superscript
m plus n Baseline
equals x Superscript
m Baseline
x Superscript
n |
|
|
brief |
x Sup
m plus n Base
equals x Sup
m Base
x Sup
n |
|
|
superbrief |
x Sup
m plus n Base
equals x Sup
m Base
x Sup
n |
|
Example 3scripts_CPLX1-01
|
verbose |
x Superscript
m plus n |
|
|
brief |
x Sup
m plus n |
|
|
superbrief |
x Sup
m plus n |
|
Rule 8.4 - ID: scripts_CPLX2
Description
The script level indicators always indicate the absolute position to the baseline.
Example 1scripts_CPLX2-21
|
verbose |
Upper
T Superscript
left-parenthesis x Super Superscript
a Superscript
plus y Super Superscript
b Superscript
right-parenthesis |
|
|
brief |
Upper
T Sup
left-p'ren x Sup Sup
a Sup
plus y Sup Sup
b Sup
right-p'ren |
|
|
superbrief |
Upper
T Sup
L p'ren x Sup Sup
a Sup
plus y Sup Sup
b Sup
R p'ren |
|
Example 2scripts_CPLX2-05
|
verbose |
y Superscript
a Super Superscript
b Super Super Subscript
c Baseline
not-equals y Superscript
a Super Superscript
b Superscript
c |
|
|
brief |
y Sup
a Sup Sup
b Sup Sup Sub
c Base
not-equals y Sup
a Sup Sup
b Sup
c |
|
|
superbrief |
y Sup
a Sup Sup
b Sup Sup Sub
c Base
not-equals y Sup
a Sup Sup
b Sup
c |
|
Example 3scripts_CPLX2-02
|
verbose |
x Superscript
a Super Subscript
b |
|
|
brief |
x Sup
a Sup Sub
b |
|
|
superbrief |
x Sup
a Sup Sub
b |
|
Example 4scripts_CPLX2-03
|
verbose |
x Subscript
a Sub Superscript
b |
|
|
brief |
x Sub
a Sub Sup
b |
|
|
superbrief |
x Sub
a Sub Sup
b |
|
Example 5scripts_CPLX2-22
|
verbose |
x Superscript
a Super Subscript
n Superscript
plus a Super Subscript
n minus 1 |
|
|
brief |
x Sup
a Sup Sub
n Sup
plus a Sup Sub
n minus 1 |
|
|
superbrief |
x Sup
a Sup Sub
n Sup
plus a Sup Sub
n minus 1 |
|
Example 6scripts_CPLX2-06
|
verbose |
y Superscript
a Super Super Subscript
c Super Superscript
b |
|
|
brief |
y Sup
a Sup Sup Sub
c Sup Sup
b |
|
|
superbrief |
y Sup
a Sup Sup Sub
c Sup Sup
b |
|
Example 7scripts_CPLX2-04
|
verbose |
x Subscript
a Sub Subscript
b |
|
|
brief |
x Sub
a Sub Sub
b |
|
|
superbrief |
x Sub
a Sub Sub
b |
|
Example 8scripts_CPLX2-01
|
verbose |
x Superscript
a Super Superscript
b |
|
|
brief |
x Sup
a Sup Sup
b |
|
|
superbrief |
x Sup
a Sup Sup
b |
|
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 1scripts_NSUB1-11
|
verbose |
a Subscript
2 comma 3 |
|
|
brief |
a Sub
2 comma 3 |
|
|
superbrief |
a Sub
2 comma 3 |
|
Example 4scripts_NSUB1-21
|
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
|
|
|
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
|
|
|
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
|
|
Example 6scripts_NSUB1-05
|
verbose |
Upper
T Subscript
n 1 plus n 0 |
|
|
brief |
Upper
T Sub
n 1 plus n 0 |
|
|
superbrief |
Upper
T Sub
n 1 plus n 0 |
|
Example 7scripts_NSUB1-20
|
verbose |
4 Upper
F e plus 3 Upper
O 2 right-arrow 2 Upper
F e 2 Upper
O 3 |
|
|
brief |
4 Upper
F e plus 3 Upper
O 2 right-arrow 2 Upper
F e 2 Upper
O 3 |
|
|
superbrief |
4 Upper
F e plus 3 Upper
O 2 R arrow 2 Upper
F e 2 Upper
O 3 |
|
Example 8scripts_NSUB1-12
|
verbose |
l n x equals Integral Subscript
1 Superscript
x Baseline
StartFraction
d t Over
t EndFraction
|
|
|
brief |
l n x equals Integral Sub
1 Sup
x Base
StartFrac
d t Over
t EndFrac
|
|
|
superbrief |
l n x equals Integral Sub
1 Sup
x Base
Frac
d t Over
t EndFrac
|
|
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 8Example 9scripts_NSUB1-10
|
verbose |
x Subscript
negative 1 |
|
|
brief |
x Sub
negative 1 |
|
|
superbrief |
x Sub
negative 1 |
|
Example 10scripts_NSUB1-04
|
verbose |
Upper
Phi 5 |
|
|
brief |
Upper
Phi 5 |
|
|
superbrief |
Upper
Phi 5 |
|
Rule 8.6 - ID: scripts_NSUB2
Description
Numbers that appear after letters need to indicate they are not subscripts.
Example 1scripts_NSUB2-20
|
verbose |
dollar-sign n Baseline
2 equals 2 asterisk dollar-sign n plus 1 semicolon |
|
|
brief |
dollar-sign n Base
2 equals 2 asterisk dollar-sign n plus 1 semicolon |
|
|
superbrief |
dollar-sign n Base
2 equals 2 asterisk dollar-sign n plus 1 semicolon |
|
Rule 8.7 - ID: scripts_NSUB3
Description
The numeric subscripts rules can be ignored if the reader is alerted to this in a transcriber's note. This can be helpful for rendering programming languages.
Rule 8.8 - ID: scripts_ORD1
Applies To
Simultaneous Script Levels
Description
For simultaneous script levels, the subscript(s) are stated before the superscript(s).
Example 1scripts_ORD1-02
|
verbose |
Subscript
c d Superscript
a b Baseline
x Subscript
e f Superscript
g h |
|
|
brief |
Sub
c d Sup
a b Base
x Sub
e f Sup
g h |
|
|
superbrief |
Sub
c d Sup
a b Base
x Sub
e f Sup
g h |
|
Example 2scripts_ORD1-01
|
verbose |
Upper
T Subscript
n minus 1 Superscript
2 |
|
|
brief |
Upper
T Sub
n minus 1 Sup
2 |
|
|
superbrief |
Upper
T Sub
n minus 1 Sup
2 |
|
Rule 8.9 - ID: scripts_PRI1
Applies To
Primes
Description
Primes (single, double, or triple) have an implied relative superscript level.
Example 1scripts_PRI1-02
|
verbose |
f triple-prime left-parenthesis y right-parenthesis equals StartFraction
d f double-prime left-parenthesis y right-parenthesis Over
d y EndFraction
|
|
|
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
|
|
|
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
|
|
Rule 8.10 - ID: scripts_ORD2
Applies To
Primes
Description
Primes that apply directly to an expression are stated before subscripts.
Example 1scripts_ORD2-15
|
verbose |
rho prime equals rho prime Subscript
plus Baseline
plus rho prime Subscript
minus |
|
|
brief |
rho prime equals rho prime Sub
plus Base
plus rho prime Sub
minus |
|
|
superbrief |
rho prime equals rho prime Sub
plus Base
plus rho prime Sub
minus |
|
Example 2scripts_ORD2-01
|
verbose |
Upper
T prime Subscript
n |
|
|
brief |
Upper
T prime Sub
n |
|
|
superbrief |
Upper
T prime Sub
n |
|
Example 3scripts_ORD2-02
|
verbose |
x prime 10 |
|
|
brief |
x prime 10 |
|
|
superbrief |
x prime 10 |
|
Rule 8.11 - ID: scripts_CELL1
Description
The baseline does not need to be stated at the end of a cell in a matrix or determinate.
Example 1scripts_CELL1-10
|
verbose |
Start 2 By 3 Matrix
1st Row
1st Column
x Superscript
n 2nd Column
y Superscript
n 3rd Column
z Superscript
n 2nd Row
1st Column
x Superscript
n plus 1 2nd Column
y Superscript
n plus 1 3rd Column
z Superscript
n plus 1 EndMatrix
|
|
|
brief |
Start 2 By 3 Matrix
1st Row
1st Column
x Sup
n 2nd Column
y Sup
n 3rd Column
z Sup
n 2nd Row
1st Column
x Sup
n plus 1 2nd Column
y Sup
n plus 1 3rd Column
z Sup
n plus 1 EndMatrix
|
|
|
superbrief |
2 By 3 Matrix
1st Row
1st Column
x Sup
n 2nd Column
y Sup
n 3rd Column
z Sup
n 2nd Row
1st Column
x Sup
n plus 1 2nd Column
y Sup
n plus 1 3rd Column
z Sup
n plus 1 EndMatrix
|
|
Rule 8.12 - ID: scripts_STAG1
Description
When an expression has a superscript and a subscript, but one occurs before the other, then the one that comes first is stated first and the baseline indicator is stated between them.
Example 1scripts_STAG1-02
|
verbose |
x Superscript
b Baseline
Subscript
a |
|
|
brief |
x Sup
b Base
Sub
a |
|
|
superbrief |
x Sup
b Base
Sub
a |
|
Example 2scripts_STAG1-01
|
verbose |
x Subscript
a Baseline
Superscript
b |
|
|
brief |
x Sub
a Base
Sup
b |
|
|
superbrief |
x Sub
a Base
Sup
b |
|
Rule 8.13 - ID: scripts_CON1
Description
Two consecutive superscripts or subscripts that apply to different expressions must restate the script level.
Example 1scripts_CON1-06
|
verbose |
log Superscript
4 Superscript
b Baseline
x |
|
|
brief |
log Sup
4 Sup
b Base
x |
|
|
superbrief |
log Sup
4 Sup
b Base
x |
|
Example 2scripts_CON1-05
|
verbose |
Upper
T Subscript
n Subscript
a Baseline
y |
|
|
brief |
Upper
T Sub
n Sub
a Base
y |
|
|
superbrief |
Upper
T Sub
n Sub
a Base
y |
|
Rule 8.14 - ID: scripts_NEG1
Applies To
Minus signs that appear as a superscript before the modified expression
Description
Minus signs that are used as a negative sign and are slightly raised are interpreted as a negative sign without any script level indicators.