Information Technology Reference
In-Depth Information
11.4.5
FACTORIAL
This is similar to PRIME except the generating sequence is now factorial. Factorial
is shown by the symbol '!'. The factorial of 0 is represented as 0! defined as having
the value of 1. 1! is also1. 2! is 1 * 2
=
2, and 3!
=
2! * 3. So in general we can say:
!
∗
n
n
!=
(n
−
1)
where
n
is any integer. So the first ten, starting at 0!, factorials are:
1126241207205040 40320 362880
so the sequence of the squares of factorial would appear as:
1143657614400 518400
Like PRIME it can have, in principle, a coefficient, exponent and offset that can also
be functions.
The next Chap. 12 will use these functions to identify for a given numerical
sequence the most likely concepts to apply.
References
Eysenck HJ (1974a) Check your own IQ. Penguin Books, London
Eysenck HJ (1974b) Know your own IQ. Penguin Books, London
Jensen AR (1969) How much can we boost IQ and scholastic achievement? Harv Educ Rev 39:8
Terman LM, Merrill MA (1936) Measuring intelligence. Houghton Mifflin, Boston
Terman LM, Merrill MA (1960) Stanford-Binet intelligence scale: manual for the third revision
form L- M. Houghton Mifflin, Boston
Zakaria MS (1994) A model of machine intelligence based on the pragmatic approach. PhD Thesis,
Computer Science Department, Unversity of Reading, March
