Appendix A: Functions and Instructions 267
list1
ù
list2
⇒
list
Returns a list containing the products of the
corresponding elements in
list1
and
list2
.
Dimensions of the lists must be equal.
{1.0,2,3}ù {4,5,6} ¸{4. 10 18}
{2àa,3à2}ù {añ,bà3}
¸{2ø a
b
2
}
matrix1
ù
matrix2
⇒
matrix
Returns the matrix product of
matrix1
and
matrix2
.
The number of rows in
matrix1
must equal the
number of columns in
matrix2
.
[1,2,3;4,5,6]ù [a,d;b,e;c,f]
¸
expression
ù
list1
⇒
list
list1
ù
expression
⇒
list
Returns a list containing the products of
expression
and each element in
list1
.
pù {4,5,6} ¸ {4ø p 5ø p 6ø p}
expression
ù
matrix1
⇒
matrix
matrix1
ù
expression
⇒
matrix
Returns a matrix containing the products of
expression
and each element in
matrix1
.
Note: Use
.ù (dot multiply) to multiply an
expression by each element.
[1,2;3,4]ù.01 ¸ [
.01 .02
.03 .04
]
lù identity(3) ¸
l 0 0
0 l 0
0 0 l
à
(divide)
e key
expression1
à
expression2
⇒
expression
Returns the quotient of
expression1
divided by
expression2
.
2/3.45 ¸ .57971
x^3/x
¸ x
2
list1
à
list2
⇒
list
Returns a list containing the quotients of
list1
divided by
list2.
Dimensions of the lists must be equal.
{1.0,2,3}/{4,5,6} ¸
{.25 2/5 1/2}
expression
à
list1
⇒
list
list1
à
expression
⇒
list
Returns a list containing the quotients of
expression
divided by
list1
or
list1
divided by
expression.
a/{3,a,‡(a)} ¸
a
3
1 ‡a
{a,b,c}/(aù bù c)
¸
{
1
bø c
1
aø c
1
aø b
}
matrix1
à
expression
⇒
matrix
Returns a matrix containing the quotients of
matrix1
à
expression.
Note: Use . / (dot divide) to divide an expression
by each element.
[a,b,c]/(aù bù c) ¸
[
1
bø c
1
aø c
1
aø b
]
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