#******************************************************************************
# ****                                                                     ****
# **** lf_multiply                                                         ****
# ****                                                                     ****
# **** Copyright (C) A. Dwelly and W.W. Armstrong, 1990.                   ****
# ****                                                                     ****
# **** All rights reserved.                                                ****
# ****                                                                     ****
# **** Attachment of copyright does not imply publication.                 ****
# **** This file contains information which is proprietary                 ****
# **** to the authors.                                                     ****
# ****                                                                     ****
# **** This is an lf example that learns the multiplication table from a   ****
# **** complete training set. It takes about 20 minutes to run on a        ****
# **** Sun Sparcstation 1 with 8M ram. This is the adaptive                ****
# **** logic network package based on work done by Prof. W. W. Armstrong   ****
# **** and others in the Department of Computing Science, University of    ****
# **** Alberta, and previous work at the Universite de Montreal, and at    ****
# **** AT&T Bell Laboratories, Holmdel, N. J.  The software demonstrates   ****
# **** that networks consisting of many layers of linear threshold         ****
# **** elements can indeed be effectively trained.                         ****
# ****                                                                     ****
# **** License:                                                            ****
# **** A royalty-free license is granted for the use of this software for  ****
# **** NON_COMMERCIAL PURPOSES ONLY. The software may be copied and        ****
# **** modified provided this notice appears in its entirety and unchanged ****
# **** in all copies, whether changed or not.  Persons modifying the code  ****
# **** are requested to state the date, the changes made and who made them ****
# **** in the modification history.                                        ****
# ****                                                                     ****
# **** Warranty:                                                           ****
# **** No warranty of any kind is provided with this software.             ****
# **** This software is not supported, and is made available only under    ****
# **** the condition that the authors not be held responsible for damages  ****
# **** of any kind arising through use of the software, however caused.    ****
# ****                                                                     ****
# **** Patent:                                                             ****
# **** The use of a digital circuit which transmits a signal indicating    ****
# **** heuristic responsibility is protected by U. S. Patent 3,934,231     ****
# **** and others assigned to Dendronic Decisions Limited of Edmonton,     ****
# **** W. W. Armstrong, President.                                         ****
# ****                                                                     ****
# **** Modification history:                                               ****
# ****                                                                     ****
# **** 5.9.90 Initial implementation, A.Dwelly                             ****
# ****                                                                     ****
# *****************************************************************************
tree
	size = 4000
	min correct  = 143
	max epochs  = 20

function
	domain dimension = 2
	coding = 32:12 32:12 32:7
	quantization = 12 12 144
	training set size = 144
	training set =


1	1	1
1	2	2
1	3	3
1	4	4
1	5	5
1	6	6
1	7	7
1	8	8
1	9	9
1	10	10
1	11	11
1	12	12
2	1	2
2	2	4
2	3	6
2	4	8
2	5	10
2	6	12
2	7	14
2	8	16
2	9	18
2	10	20
2	11	22
2	12	24
3	1	3
3	2	6
3	3	9
3	4	12
3	5	15
3	6	18
3	7	21
3	8	24
3	9	27
3	10	30
3	11	33
3	12	36
4	1	4
4	2	8
4	3	12
4	4	16
4	5	20
4	6	24
4	7	28
4	8	32
4	9	36
4	10	40
4	11	44
4	12	48
5	1	5
5	2	10
5	3	15
5	4	20
5	5	25
5	6	30
5	7	35
5	8	40
5	9	45
5	10	50
5	11	55
5	12	60
6	1	6
6	2	12
6	3	18
6	4	24
6	5	30
6	6	36
6	7	42
6	8	48
6	9	54
6	10	60
6	11	66
6	12	72
7	1	7
7	2	14
7	3	21
7	4	28
7	5	35
7	6	42
7	7	49
7	8	56
7	9	63
7	10	70
7	11	77
7	12	84
8	1	8
8	2	16
8	3	24
8	4	32
8	5	40
8	6	48
8	7	56
8	8	64
8	9	72
8	10	80
8	11	88
8	12	96
9	1	9
9	2	18
9	3	27
9	4	36
9	5	45
9	6	54
9	7	63
9	8	72
9	9	81
9	10	90
9	11	99
9	12	108
10	1	10
10	2	20
10	3	30
10	4	40
10	5	50
10	6	60
10	7	70
10	8	80
10	9	90
10	10	100
10	11	110
10	12	120
11	1	11
11	2	22
11	3	33
11	4	44
11	5	55
11	6	66
11	7	77
11	8	88
11	9	99
11	10	110
11	11	121
11	12	132
12	1	12
12	2	24
12	3	36
12	4	48
12	5	60
12	6	72
12	7	84
12	8	96
12	9	108
12	10	120
12	11	132
12	12	144

	test set size = 144
	test set =

1	1	1
1	2	2
1	3	3
1	4	4
1	5	5
1	6	6
1	7	7
1	8	8
1	9	9
1	10	10
1	11	11
1	12	12
2	1	2
2	2	4
2	3	6
2	4	8
2	5	10
2	6	12
2	7	14
2	8	16
2	9	18
2	10	20
2	11	22
2	12	24
3	1	3
3	2	6
3	3	9
3	4	12
3	5	15
3	6	18
3	7	21
3	8	24
3	9	27
3	10	30
3	11	33
3	12	36
4	1	4
4	2	8
4	3	12
4	4	16
4	5	20
4	6	24
4	7	28
4	8	32
4	9	36
4	10	40
4	11	44
4	12	48
5	1	5
5	2	10
5	3	15
5	4	20
5	5	25
5	6	30
5	7	35
5	8	40
5	9	45
5	10	50
5	11	55
5	12	60
6	1	6
6	2	12
6	3	18
6	4	24
6	5	30
6	6	36
6	7	42
6	8	48
6	9	54
6	10	60
6	11	66
6	12	72
7	1	7
7	2	14
7	3	21
7	4	28
7	5	35
7	6	42
7	7	49
7	8	56
7	9	63
7	10	70
7	11	77
7	12	84
8	1	8
8	2	16
8	3	24
8	4	32
8	5	40
8	6	48
8	7	56
8	8	64
8	9	72
8	10	80
8	11	88
8	12	96
9	1	9
9	2	18
9	3	27
9	4	36
9	5	45
9	6	54
9	7	63
9	8	72
9	9	81
9	10	90
9	11	99
9	12	108
10	1	10
10	2	20
10	3	30
10	4	40
10	5	50
10	6	60
10	7	70
10	8	80
10	9	90
10	10	100
10	11	110
10	12	120
11	1	11
11	2	22
11	3	33
11	4	44
11	5	55
11	6	66
11	7	77
11	8	88
11	9	99
11	10	110
11	11	121
11	12	132
12	1	12
12	2	24
12	3	36
12	4	48
12	5	60
12	6	72
12	7	84
12	8	96
12	9	108
12	10	120
12	11	132
12	12	144