Chapter 2: Math, Angle, and Test Operations
58
Factorial
!
(factorial) returns the factorial of either an integer or a multiple of .5. For a list, it returns factorials
for each integer or multiple of .5.
value
must be
‚ L
.5 and
69.
value
!
Note:
The factorial is computed recursively using the relationship (n+1)! = n
…
n!, until n is reduced
to either 0 or
L
1/2. At that point, the definition 0!=1 or the definition (
L
1
à
2)!=
‡p
is used to complete
the calculation. Hence:
n!=n
…
(n
N
1)
…
(n
N
2)
…
...
…
2
…
1, if n is an integer
‚
0
n!= n
…
(n
N
1)
…
(n
N
2)
…
...
…
1
à
2
…‡p
, if n+1
à
2 is an integer
‚
0
n! is an error, if neither n nor n+1
à
2 is an integer
‚
0.
(The variable n equals
value
in the syntax description above.)
randInt(
randInt(
(random integer) generates and displays a random integer within a range specified by
lower
and
upper
integer bounds. To generate a list of random numbers, specify an integer > 1 for
numtrials
(number of trials); if not specified, the default is 1.
randInt(
lower
,
upper
[
,
numtrials
]
)
randNorm(
randNorm(
(random Normal) generates and displays a random real number from a specified
Normal distribution. Each generated value could be any real number, but most will be within the
interval [
mN
3(
s
),
m
+3(
s
)]. To generate a list of random numbers, specify an integer > 1 for
numtrials
(number of trials); if not specified, the default is 1.
randNorm(
m
,
s
[
,
numtrials
]
)
