(35S) Partitions

05192014, 05:48 AM
(This post was last modified: 06152017 01:58 PM by Gene.)
Post: #1




(35S) Partitions
Returns number of integer partitions for input integer:
input integer, 0 for all partitions; input integer, 1 for distinct partitions. 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 RTN Any improvements or error reports welcome. 

05252014, 03:21 PM
(This post was last modified: 05252014 03:23 PM by Jeff_Kearns.)
Post: #2




RE: HP 35S Partitions
(05192014 05:48 AM)Gerald H Wrote: Returns number of integer partitions for input integer: 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 'scrollbox' so it is not so long on the screen. Jeff K 

05262014, 10:01 AM
Post: #3




RE: HP 35S Partitions
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. 

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