RULE XVII--FUNCTION NAMES AND THEIR ABBREVIATIONS

Abbreviation

Function Name

Braille Equivalent

amp

amplitude

amp

verbose

a m p

antilog

antilogarithm

antilog

verbose

a n t i l o g

arc

verbose

a r c

arg

argument

arg

verbose

a r g

colog

cologarithm

colog

verbose

c o l o g

cos

cosine

cos

verbose

c o s

cosh

hyperbolic
cosine

cosh

verbose

c o s h

cot

cotangent

cot

verbose

c o t

coth

hyperbolic
cotangent

coth

verbose

c o t h

covers

coversine

covers

verbose

c o v e r s

csc

cosecant

csc

verbose

c s c

csch

hyperbolic
cosecant

csch

verbose

c s c h

ctn

cotangent

ctn

verbose

c t n

ctnh

hyperbolic
cotangent

ctnh

verbose

c t n h

det

determinant

det

verbose

d e t

erf

error
function

erf

verbose

e r f

exp

exponential

exp

verbose

e x p

exsec

exsecant

exsec

verbose

e x s e c

grad

gradient

grad

verbose

g r a d

hav

haversine

hav

verbose

h a v

imaginary
part

verbose

i m

inf

infimum

inf

verbose

i n f

lim

limit

lim

verbose

l i m

lim with
overbar

upper limit

<lim

verbose

ModifyingAbove l i m bar

lim with
underbar

lower limit

%lim

verbose

ModifyingBelow l i m bar

natural
logarithm

verbose

l n

log

logarithm

log

verbose

l o g

max

maximum

max

verbose

m a x

min

minimum

min

verbose

m i n

mod

modulo

mod

verbose

m o d

real
part

verbose

r e

sec

secant

sec

verbose

s e c

sech

hyperbolic
secant

sech

verbose

s e c h

sin

sine

sin

verbose

s i n

sinh

hyperbolic
sine

sinh

verbose

s i n h

sup

supremum

sup

verbose

s u p

tan

tangent

tan

verbose

t a n

tanh

hyperbolic
tangent

tanh

verbose

t a n h

vers

versine

vers

verbose

v e r s

§116. Contractions in Function Names and Their Abbreviations: See §55b and §56.

§117. Numeric Subscripts with Function Names and Their Abbreviations: See §77.

§118. Modifiers with Function Names and Their Abbreviations: The bar which occurs over or under the function name "limit" or its abbreviation "lim" must not be treated as a modifier; the combination must be transcribed by means of special symbols for upper limit <lim or <limit or lower limit %lim or %limit. Other modifiers, however, must be transcribed in accordance with the techniques for the representation of modified expressions.

(1)

verbose semantics

ModifyingAbove limit with bar Underscript n right-arrow infinity EndScripts f Subscript n Baseline left-parenthesis x right-parenthesis

(2)

"%lim%n $o ,=] f;n"(x)

verbose semantics

ModifyingBelow limit With bar Underscript n right-arrow infinity EndScripts f Subscript n Baseline left-parenthesis x right-parenthesis

(3)

"lim%x $o #0] f(x)

verbose semantics

limit Underscript x right-arrow infinity EndScripts f left-parenthesis x right-parenthesis

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§119. Spacing with Function Names and Their Abbreviations:

a. A space must be left after an unmodified function name or its abbreviation. If the function name or its abbreviation carries a superscript, subscript, or modifier, the space must follow the superscript, subscript, or termination of modifier.

log Subscript a Baseline x

(6)

"lim%x $o #0] f(x)

verbose semantics

limit Underscript x right-arrow 0 EndScripts f left-parenthesis x right-parenthesis

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b. If two or more consecutive function names or their abbreviations occur, the space between them may either be omitted or included in accordance with the ink print copy. When there is doubt concerning the presence of a space in ink print between the function names or their abbreviations, a space should be left in the transcription.

(1)

arcsin x

(no space in ink print between arc and sin)

(space between arc and sin clearly shown in ink print)

verbose semantics

arc sine x

c. The expression which follows or precedes the function name or its abbreviation must be spaced in accordance with the other spacing rules of this Code.

(1)