Information Technology Reference
In-Depth Information
Table 11.2
A list of concepts C that relate to hypotheses H
Rank. concept probability, D
Description
Example series
1. INTER
48 %, 0.09
A quantitative relation between
elements in a sequence
43517834973479
4
*2-
5
,
3
*3-
4,
5
*4-
3
2. PERIODIC
42 %, 0.15
An oscillation in differential
coefficient shift of a sequence
24 21 15 21 18 24 18 15 9 15
12 18 12 9
So
first
level
of
differential
gives:
-3,-6,
+
6, - 3,
+
6, - 6, rpt
3. POLY
7 %, 1.38
A polynomial function that fits
into a given sequence.
01491625364964
Square of 0 to
n
4. PRIME
2 %, 4.76
A prime function that fits into a
given sequence
75 147 363 507 867 1083 1587
3 * Square (prime)
5. FACTORIAL
1 %, 5.85
A factorial function that fits into
a given sequence
112624120720
Fact(
n
)
Table 11.3
The generation of an INTER sequence using equation S
i
i
A
i
i
f
i
1
k
i
i-6
S
+
1
0
4
1
2
1
-5
2.
4
1
−
5
=
3
3.
3
1
2
3
1
-4
−
4
=
5
4.
5
1
3
4
1
-3
−
3
=
17
5.
17
1
4
5
1
-2
−
2
=
83
6.
83
1
-1
5
6
1
-1
=
497
7.
497
1
−
=
3479
6
7
1
0
0
8.
3479
1
7
8
1
1
+
1
=
27833
8
9
1
2
9.
27833
1
+
2
=
250499
Example:
An example INTER sequence with:
Start value
=
4, A(i)
=
i
+
1, f(i)
=
1 and k(i)
=
i
−
6
is
4, 3, 5, 17, 83, 497, 3479, 27833, 250499,
and is generated as shown in Table
11.3
.
