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+--- Thread: (35S) Partitions (/thread-1351.html)
(35S) Partitions - Gerald H - 05-19-2014 05:48 AM
2020-05-16: Edit: Decided to follow Jeff_Kearns 'scroll-box' suggestion.
Returns number of integer partitions for input integer:
input integer, 0 for all partitions;
input integer, 1 for distinct partitions.
Code:
1 LBL X
2 x≠0?
3 GTO X006
4 CF 0
5 GTO X007
6 SF 0
7 RAD
8 R↓
9 STO A
10 24
11 1/x
12 FS? 0
13 +/-
14 +/-
15 +
16 STO G
17 FS? 0
18 GTO X028
19 √x
20 1.5
21 1/x
22 √x
23 STO I
24 *
25 π
26 *
27 STO H
28 CLx
29 STO B
30 1
31 STO C
32 FIX 0
33 RCL C
34 STO D
35 CLx
36 STO E
37 RCL C
38 RCL D
39 RMDR
40 LASTx
41 x<>y
42 x≠0?
43 GTO X039
44 1
45 +
46 x≠y?
47 GTO X080
48 RCL C
49 x<>y
50 -
51 x=0?
52 GTO X069
53 STO F
54 0.5
55 STO J
56 0
57 RCL D
58 RCL* F
59 RCL/ C
60 FP
61 RCL- J
62 RCL F
63 RCL/ C
64 RCL- J
65 *
66 +
67 DSE F
68 GTO X057
69 4
70 1/x
71 +
72 2*A
73 RCL* D
74 RCL/ C
75 -
76 π
77 *
78 COS
79 STO+ E
80 DSE D
81 GTO X037
82 FS? 0
83 GTO X121
84 RCL H
85 RCL/ C
86 e^x
87 ENTER
88 ENTER
89 1/x
90 STO J
91 R↓
92 R↓
93 RCL- J
94 R↑
95 R↑
96 +
97 RCL* I
98 R↓
99 RCL/ G
100 R↑
101 RCL/ G
102 π
103 *
104 RCL/ C
105 x<>y
106 RCL G
107 √x
108 /
109 -
110 RCL C
111 √x
112 *
113 π
114 4
115 *
116 /
117 ENTER
118 ISG C
119 CLx
120 GTO X176
121 RCL G
122 π
123 RCL/ C
124 x^2
125 *
126 12
127 /
128 STO D
129 SGN
130 ENTER
131 x≠0?
132 GTO X135
133 1
134 +
135 STO F
136 ENTER
137 STO J
138 R↓
139 R↓
140 x<> J
141 R↑
142 R↑
143 x<> J
144 RCL* D
145 RCL F
146 STO J
147 R↓
148 RCL/ J
149 R↑
150 1
151 +
152 STO F
153 /
154 STO J
155 R↓
156 RCL+ J
157 R↓
158 x<> J
159 R↑
160 R↑
161 x<> J
162 x≠y?
163 GTO X137
164 π
165 RCL/ C
166 x^2
167 *
168 2
169 STO+ C
170 6
171 *
172 /
173 x<>y
174 R↓
175 ENTER
176 RCL* E
177 RCL+ B
178 STO B
179 x<>y
180 RCL+ B
181 RND
182 x<>y
183 RND
184 x≠y?
185 GTO X 033
186 ALL
187 RTNAny improvements or error reports welcome.
RE: HP 35S Partitions - Jeff_Kearns - 05-25-2014 03:21 PM
(05-19-2014 05:48 AM)Gerald H Wrote: Returns number of integer partitions for input integer:
input integer, 0 for all partitions;
input integer, 1 for distinct partitions.
Any improvements or error reports welcome.
I, for one, would appreciate more explanation and an example. What is the purpose of the program? What is the definition (via a link) of an integer partition? For instance, something like: "A partition of an integer, n, is one way of writing n as the sum of positive integers where the order of the addends (terms being added) does not matter....". That was taken from this link, which seems to provide a good introduction to Partitions of Integers.
What is the practical application of this program? Also, there is a way to enter the program in a 'scroll-box' so it is not so long on the screen.
Jeff K
RE: HP 35S Partitions - Gerald H - 05-26-2014 10:01 AM
To post #2:
Purpose: to calculate the number of 2 different types of integer partitions.
Example: one integer partition of "5" is "4+1"
Definition: adequately supplied by the sentence in quotes & the suggested link
Utility: I am not principally interested in usefulness but much rather in improving the programme. Should anyone become rich through using the programme I would ask them not to inform me.
Scroll box: I find the full screen depiction of the programme gives a better overview.
Should the article promote some research, interest, discussion....& improvements to the programme it will have fulfilled my needs.
Thank you for your comments.
RE: (35S) Partitions - Nihotte(lma) - 05-16-2020 09:54 AM
(05-19-2014 05:48 AM)Gerald H Wrote: Returns number of integer partitions for input integer:
input integer, 0 for all partitions;
input integer, 1 for distinct partitions.
Any improvements or error reports welcome.
Hi, Gerald H !
Your 2014 proposal seems to me to be a more general version than mine devoted to what I called «Some digits for a sum» or dedicated «April 1 recursive program» ?
The term Integer Partitions was unknown to me.
Your initial development seems to me less restrictive than that which I recently published in the sense that I only use figures which must, moreover, all be different!
In any case, your publication appeals to me: I will be interested in it!
So i will examine your program on my 35s!
See you later on this!