The operand structures specify what various operands (labeled a, b, c, ...) mean. The implied context is forethought, since only forethought operators can have a variable number of operands; however, the same rules apply to infix and RP uses of VUhU.
|
su'i |
plus |
(((a + b) + c) + ...) |
|
pi'i |
times |
(((a × b) × c) × ...) |
|
vu'u |
minus |
(((a − b) − c) − ...) |
|
fe'i |
divided by |
(((a / b) / c) / ...) |
|
ju'u |
number base |
numeral string a interpreted in the base b |
|
pa'i |
ratio |
the ratio of a to b a:b |
|
fa'i |
reciprocal of/multiplicative inverse |
1 / a |
|
gei |
scientific notation |
b × (c [default 10] to the a power) |
|
ge'a |
null operator |
(no operands) |
|
de'o |
logarithm |
log a to base b (default 10 or e as appropriate) |
|
te'a |
to the power/exponential |
a to the b power |
|
fe'a |
nth root of/inverse power |
b th root of a (default square root: b = 2) |
|
cu'a |
absolute value/norm |
| a | |
|
ne'o |
factorial |
a! |
|
pi'a |
matrix row vector combiner |
(all operands are row vectors) |
|
sa'i |
matrix column vector combiner |
(all operands are column vectors) |
|
ri'o |
integral |
integral of a with respect to b over range c |
|
sa'o |
derivative |
derivative of a with respect to b of degree c (default 1) |
|
fu'u |
non-specific operator |
(variable) |
|
si'i |
sigma (Σ) summation |
summation of a using variable b over range c |
|
va'a |
negation of/additive inverse |
-a |
|
re'a |
matrix transpose/dual |
a * |