n n(n + 1)
∑ k = ——————————
k=1 2
Name | Description | Name | Description | Name | Description | |||
---|---|---|---|---|---|---|---|---|
A | CurveP - Enter y inputs then x inputs R/S | 4 | Nth degree Polynomial Fitting | .2 | Prime factor Loop | |||
B | CurveP - Enter x to get y | 5 | Enter new yi values for same xi | .3 | Prime factor Loop | |||
C | Prime factorisation | 6 | Nth-degree Polynomial Fitting Loop | .4 | Convert to fraction - loop and test | |||
D | Little Gauss formula | 7 | Nth-degree Polynomial Fitting Loop | .5 | Linear equations - coefficients of xi storage loop | |||
E | TVM Solve | 8 | Matrix [B] xi coefficients readout Loop | .6 | Linear Equations - constant storage loop | |||
1 | Quadratic equation solver | 9 | Dummy label to skip when matrix is full | .7 | Linear equations - result display | |||
2 | Convert to Fraction | .0 | CurveP - loop | .8 | Quadratic equation - subroutine | |||
3 | Solve a System of Linear Equations | .1 | RCL.5 1/x STO.5 | .9 | Quadratic equation - subroutine |
Name | Description | Name | Description | Name | Description | |||
---|---|---|---|---|---|---|---|---|
0 | Fraction, decimal input value, row index for matrix elements | 7 | xscale, Ps | .4 | scale | |||
1 | y1, N, Result ,GI, column index for matrix elements | 8 | yscale, Pt | .5 | temp1 | |||
2 | y2, I,loop rows | 9 | slope, Pw | .6 | temp2 | |||
3 | y3, | .0 | absolute decimal number for fraction | .7 | temp3 | |||
4 | order, PMT, Pd | .1 | x1 | .8 | xinput | |||
5 | factor, FV, | .2 | x2 | (i) | Register of TVM value required | |||
6 | count, B/E 1/0 | .3 | order first guess | I | Loop columns |
Number | Description | |
---|---|---|
8 | Indicates, by showing "C" in the display, that the roots are complex numbers |
Line | Display | Key Sequence | Line | Display | Key Sequence | Line | Display | Key Sequence | |||
---|---|---|---|---|---|---|---|---|---|---|---|
000 | 141 | 45 3 | RCL 3 | 282 | 20 | × | |||||
001 | 42,21,11 | f LBL A | 142 | 10 | ÷ | 283 | 44 1 | STO 1 | |||
002 | 44 8 | STO 8 | 143 | 43 32 | g RTN | 284 | 42 30 | f Re↔Im | |||
003 | 33 | R⬇ | 144 | 42,21, .1 | f LBL . 1 | 285 | 44 .1 | STO . 1 | |||
004 | 44 2 | STO 2 | 145 | 45 .5 | RCL . 5 | 286 | 42 30 | f Re↔Im | |||
005 | 33 | R⬇ | 146 | 15 | 1/x | 287 | 45 3 | RCL 3 | |||
006 | 44 1 | STO 1 | 147 | 44 .5 | STO . 5 | 288 | 45 .3 | RCL . 3 | |||
007 | 45 8 | RCL 8 | 148 | 43 32 | g RTN | 289 | 42 25 | f I | |||
008 | 1 | 1 | 149 | 42,21,13 | f LBL C | 290 | 20 | × | |||
009 | 0 | 0 | 150 | 42, 7, 0 | f FIX 0 | 291 | 2 | 2 | |||
010 | 44 3 | STO 3 | 151 | 44 2 | STO 2 | 292 | 20 | × | |||
011 | 10 | ÷ | 152 | 44 0 | STO 0 | 293 | 30 | − | |||
012 | 44,10, 2 | STO ÷ 2 | 153 | 2 | 2 | 294 | 42 31 | f PSE | |||
013 | 44,10, 1 | STO ÷ 1 | 154 | 44 1 | STO 1 | 295 | 42 30 | f Re↔Im | |||
014 | 31 | R/S | 155 | 42,21, .3 | f LBL . 3 | 296 | 42 31 | f PSE | |||
015 | 44 7 | STO 7 | 156 | 45 0 | RCL 0 | 297 | 42 30 | f Re↔Im | |||
016 | 33 | R⬇ | 157 | 45,10, 1 | RCL ÷ 1 | 298 | 11 | √x̅ | |||
017 | 44 .2 | STO . 2 | 158 | 36 | ENTER | 299 | 44 0 | STO 0 | |||
018 | 33 | R⬇ | 159 | 42 44 | f FRAC | 300 | 42 30 | f Re↔Im | |||
019 | 44 .1 | STO . 1 | 160 | 43 20 | g x=0 | 301 | 44 .0 | STO . 0 | |||
020 | 45 7 | RCL 7 | 161 | 22 .2 | GTO . 2 | 302 | 45,40, .2 | RCL + . 2 | |||
021 | 45 3 | RCL 3 | 162 | 1 | 1 | 303 | 42 30 | f Re↔Im | |||
022 | 10 | ÷ | 163 | 44,40, 1 | STO + 1 | 304 | 45,40, 2 | RCL + 2 | |||
023 | 44,10, .2 | STO ÷ . 2 | 164 | 22 .3 | GTO . 3 | 305 | 45 1 | RCL 1 | |||
024 | 44,10, .1 | STO ÷ . 1 | 165 | 42,21, .2 | f LBL . 2 | 306 | 45 .1 | RCL . 1 | |||
025 | 45 3 | RCL 3 | 166 | 45 1 | RCL 1 | 307 | 42 25 | f I | |||
026 | 45 2 | RCL 2 | 167 | 31 | R/S | 308 | 10 | ÷ | |||
027 | 10 | ÷ | 168 | 33 | R⬇ | 309 | 45 2 | RCL 2 | |||
028 | 43 12 | g LN | 169 | 33 | R⬇ | 310 | 45,30, 0 | RCL − 0 | |||
029 | 45 3 | RCL 3 | 170 | 44 0 | STO 0 | 311 | 45 .2 | RCL . 2 | |||
030 | 45 .2 | RCL . 2 | 171 | 1 | 1 | 312 | 45,30, .0 | RCL − . 0 | |||
031 | 10 | ÷ | 172 | 30 | − | 313 | 42 25 | f I | |||
032 | 43 12 | g LN | 173 | 43,30, 0 | g TEST x≠0 | 314 | 45 1 | RCL 1 | |||
033 | 10 | ÷ | 174 | 22 .3 | GTO . 3 | 315 | 45 .1 | RCL . 1 | |||
034 | 44 4 | STO 4 | 175 | 45 2 | RCL 2 | 316 | 42 25 | f I | |||
035 | 44 .3 | STO . 3 | 176 | 42, 7, 4 | f FIX 4 | 317 | 10 | ÷ | |||
036 | 1 | 1 | 177 | 43 32 | g RTN | 318 | 43 32 | g RTN | |||
037 | 44 5 | STO 5 | 178 | 42,21,14 | f LBL D | 319 | 42,21, 2 | f LBL 2 | |||
038 | 0 | 0 | 179 | 43 11 | g x² | 320 | 43 16 | g ABS | |||
039 | 44 6 | STO 6 | 180 | 43 36 | g LSTx | 321 | 44 0 | STO 0 | |||
040 | 45 1 | RCL 1 | 181 | 40 | + | 322 | 1 | 1 | |||
041 | 45,10, .1 | RCL ÷ . 1 | 182 | 2 | 2 | 323 | 44 1 | STO 1 | |||
042 | 44 9 | STO 9 | 183 | 10 | ÷ | 324 | 42,21, .4 | f LBL . 4 | |||
043 | 42,21, .0 | f LBL . 0 | 184 | 43 32 | g RTN | 325 | 33 | R⬇ | |||
044 | 1 | 1 | 185 | 42,21,15 | f LBL E | 326 | 15 | 1/x | |||
045 | 44,40, 6 | STO + 6 | 186 | 44 24 | STO (i) | 327 | 44,20, 1 | STO × 1 | |||
046 | 45 3 | RCL 3 | 187 | 45 2 | RCL 2 | 328 | 36 | ENTER | |||
047 | 45 4 | RCL 4 | 188 | 26 | EEX | 329 | 43 44 | g INT | |||
048 | 43,30, 7 | g TEST x>y | 189 | 2 | 2 | 330 | 30 | − | |||
049 | 45 .3 | RCL . 3 | 190 | 10 | ÷ | 331 | 4 | 4 | |||
050 | 44 4 | STO 4 | 191 | 36 | ENTER | 332 | 16 | CHS | |||
051 | 45 3 | RCL 3 | 192 | 36 | ENTER | 333 | 13 | 10ˣ | |||
052 | 45 5 | RCL 5 | 193 | 1 | 1 | 334 | 43 10 | g x≤y | |||
053 | 45,20, 3 | RCL × 3 | 194 | 40 | + | 335 | 22 .4 | GTO . 4 | |||
054 | 16 | CHS | 195 | 43 12 | g LN | 336 | 45 0 | RCL 0 | |||
055 | 12 | eˣ | 196 | 34 | x↔y | 337 | 45 1 | RCL 1 | |||
056 | 45,20, 3 | RCL × 3 | 197 | 43 36 | g LSTx | 338 | 43 44 | g INT | |||
057 | 45,20, 9 | RCL × 9 | 198 | 1 | 1 | 339 | 20 | × | |||
058 | 30 | − | 199 | 43,30, 6 | g TEST x≠y | 340 | 42 31 | f PSE | |||
059 | 45 3 | RCL 3 | 200 | 30 | − | 341 | 43 36 | g LSTx | |||
060 | 45 4 | RCL 4 | 201 | 10 | ÷ | 342 | 43 32 | g RTN | |||
061 | 43,30, 2 | g TEST x<0 | 202 | 20 | × | 343 | 42,21, 3 | f LBL 3 | |||
062 | 45 .3 | RCL . 3 | 203 | 45,20, 1 | RCL × 1 | 344 | 43, 5, 8 | g CF 8 | |||
063 | 44 4 | STO 4 | 204 | 36 | ENTER | 345 | 42,16, 0 | f MATRIX 0 | |||
064 | 14 | yˣ | 205 | 12 | eˣ | 346 | 36 | ENTER | |||
065 | 10 | ÷ | 206 | 45,20, 3 | RCL × 3 | 347 | 42,23,11 | f DIM A | |||
066 | 44 .4 | STO . 4 | 207 | 34 | x↔y | 348 | 42,16, 1 | f MATRIX 1 | |||
067 | 45,10, 1 | RCL ÷ 1 | 208 | 2 | 2 | 349 | 45,16,11 | RCL MATRIX A | |||
068 | 45 .1 | RCL . 1 | 209 | 10 | ÷ | 350 | 42 31 | f PSE | |||
069 | 45 4 | RCL 4 | 210 | 42,22,23 | f HYP SIN | 351 | 42,21, .5 | f LBL . 5 | |||
070 | 14 | yˣ | 211 | 43 36 | g LSTx | 352 | 31 | R/S | |||
071 | 20 | × | 212 | 12 | eˣ | 353 | u 44 11 | USER STO A | |||
072 | 44 .5 | STO . 5 | 213 | 20 | × | 354 | 22 .5 | GTO . 5 | |||
073 | 1 | 1 | 214 | 2 | 2 | 355 | 45,23,11 | RCL DIM A | |||
074 | 43,30, 8 | g TEST x<y | 215 | 20 | × | 356 | 42,16, 1 | f MATRIX 1 | |||
075 | 32 .1 | GSB . 1 | 216 | 45,20, 4 | RCL × 4 | 357 | 1 | 1 | |||
076 | 1 | 1 | 217 | 26 | EEX | 358 | 42,23,12 | f DIM B | |||
077 | 45 .5 | RCL . 5 | 218 | 2 | 2 | 359 | 45,16,12 | RCL MATRIX B | |||
078 | 30 | − | 219 | 45,10, 2 | RCL ÷ 2 | 360 | 42 31 | f PSE | |||
079 | 43 12 | g LN | 220 | 45,40, 6 | RCL + 6 | 361 | 42,21, .6 | f LBL . 6 | |||
080 | 16 | CHS | 221 | 20 | × | 362 | 31 | R/S | |||
081 | 45,10, .1 | RCL ÷ . 1 | 222 | 40 | + | 363 | u 44 12 | USER STO B | |||
082 | 44 5 | STO 5 | 223 | 45,40, 5 | RCL + 5 | 364 | 22 .6 | GTO . 6 | |||
083 | 45,20, .2 | RCL × . 2 | 224 | 43 32 | g RTN | 365 | 3 | 3 | |||
084 | 16 | CHS | 225 | 42,21, 1 | f LBL 1 | 366 | 45,16,12 | RCL MATRIX B | |||
085 | 12 | eˣ | 226 | 43, 6, 8 | g F? 8 | 367 | 42 31 | f PSE | |||
086 | 45,20, .2 | RCL × . 2 | 227 | 22 .9 | GTO . 9 | 368 | 45,16,11 | RCL MATRIX A | |||
087 | 45,20, 9 | RCL × 9 | 228 | 44 3 | STO 3 | 369 | 42,26,13 | f RESULT C | |||
088 | 45 .4 | RCL . 4 | 229 | 33 | R⬇ | 370 | 10 | ÷ | |||
089 | 45 .2 | RCL . 2 | 230 | 16 | CHS | 371 | 42,16, 1 | f MATRIX 1 | |||
090 | 45 4 | RCL 4 | 231 | 44 2 | STO 2 | 372 | 42,21, .7 | f LBL . 7 | |||
091 | 14 | yˣ | 232 | 43 11 | g x² | 373 | 31 | R/S | |||
092 | 20 | × | 233 | 34 | x↔y | 374 | u 45 13 | USER RCL C | |||
093 | 40 | + | 234 | 2 | 2 | 375 | 22 .7 | GTO . 7 | |||
094 | 44 .6 | STO . 6 | 235 | 20 | × | 376 | 42,16, 0 | f MATRIX 0 | |||
095 | 45 2 | RCL 2 | 236 | 44 1 | STO 1 | 377 | 43 32 | g RTN | |||
096 | 45,10, 3 | RCL ÷ 3 | 237 | 45,20, 3 | RCL × 3 | 378 | 42,21, 4 | f LBL 4 | |||
097 | 3 | 3 | 238 | 2 | 2 | 379 | 42,16, 0 | f MATRIX 0 | |||
098 | 0 | 0 | 239 | 20 | × | 380 | 1 | 1 | |||
099 | 20 | × | 240 | 30 | − | 381 | 40 | + | |||
100 | 45,10, 6 | RCL ÷ 6 | 241 | 42 31 | f PSE | 382 | 44 2 | STO 2 | |||
101 | 11 | √x̅ | 242 | 43,30, 2 | g TEST x<0 | 383 | 36 | ENTER | |||
102 | 45,20, .6 | RCL × . 6 | 243 | 22 .8 | GTO . 8 | 384 | 42,23,11 | f DIM A | |||
103 | 45 .6 | RCL . 6 | 244 | 11 | √x̅ | 385 | 1 | 1 | |||
104 | 45,30, 2 | RCL − 2 | 245 | 44 0 | STO 0 | 386 | 42,23,12 | f DIM B | |||
105 | 10 | ÷ | 246 | 45,40, 2 | RCL + 2 | 387 | 42,16, 1 | f MATRIX 1 | |||
106 | 15 | 1/x | 247 | 45,10, 1 | RCL ÷ 1 | 388 | 42,21, 6 | f LBL 6 | |||
107 | 1 | 1 | 248 | 45 2 | RCL 2 | 389 | 45,23,12 | RCL DIM B | |||
108 | 40 | + | 249 | 45,30, 0 | RCL − 0 | 390 | 30 | − | |||
109 | 44 .7 | STO . 7 | 250 | 45,10, 1 | RCL ÷ 1 | 391 | 44 25 | STO I | |||
110 | 45,20, 4 | RCL × 4 | 251 | 43 32 | g RTN | 392 | 45 0 | RCL 0 | |||
111 | 44 4 | STO 4 | 252 | 42,21, .8 | f LBL . 8 | 393 | 31 | R/S | |||
112 | 45 .7 | RCL . 7 | 253 | 43, 4, 8 | g SF 8 | 394 | 36 | ENTER | |||
113 | 1 | 1 | 254 | 11 | √x̅ | 395 | 36 | ENTER | |||
114 | 30 | − | 255 | 42 30 | f Re↔Im | 396 | 36 | ENTER | |||
115 | 43 16 | g ABS | 256 | 45,10, 1 | RCL ÷ 1 | 397 | 1 | 1 | |||
116 | 1 | 1 | 257 | 44 .0 | STO . 0 | 398 | u 44 11 | USER STO A | |||
117 | 26 | EEX | 258 | 45 2 | RCL 2 | 399 | 42,21, 7 | f LBL 7 | |||
118 | 16 | CHS | 259 | 45,10, 1 | RCL ÷ 1 | 400 | 20 | × | |||
119 | 6 | 6 | 260 | 42 25 | f I | 401 | u 44 11 | USER STO A | |||
120 | 43,30, 8 | g TEST x<y | 261 | 42 30 | f Re↔Im | 402 | 42,21, 9 | f LBL 9 | |||
121 | 22 .0 | GTO . 0 | 262 | 45 2 | RCL 2 | 403 | 42, 5,25 | f DSE I | |||
122 | 45 4 | RCL 4 | 263 | 45,10, 1 | RCL ÷ 1 | 404 | 22 7 | GTO 7 | |||
123 | 43 32 | g RTN | 264 | 45 .0 | RCL . 0 | 405 | 42, 5, 2 | f DSE 2 | |||
124 | 42,21,12 | f LBL B | 265 | 16 | CHS | 406 | 22 6 | GTO 6 | |||
125 | 44 .8 | STO . 8 | 266 | 42 25 | f I | 407 | 42,21, 5 | f LBL 5 | |||
126 | 45,10, 7 | RCL ÷ 7 | 267 | 43 32 | g RTN | 408 | 45 0 | RCL 0 | |||
127 | 45 3 | RCL 3 | 268 | 42,21, .9 | f LBL . 9 | 409 | 31 | R/S | |||
128 | 20 | × | 269 | 44 3 | STO 3 | 410 | u 44 12 | USER STO B | |||
129 | 44 .8 | STO . 8 | 270 | 42 30 | f Re↔Im | 411 | 22 5 | GTO 5 | |||
130 | 45 4 | RCL 4 | 271 | 44 .3 | STO . 3 | 412 | 45,16,12 | RCL MATRIX B | |||
131 | 14 | yˣ | 272 | 33 | R⬇ | 413 | 45,16,11 | RCL MATRIX A | |||
132 | 45,20, .4 | RCL × . 4 | 273 | 16 | CHS | 414 | 42,26,12 | f RESULT B | |||
133 | 45 5 | RCL 5 | 274 | 44 2 | STO 2 | 415 | 10 | ÷ | |||
134 | 45,20, .8 | RCL × . 8 | 275 | 42 30 | f Re↔Im | 416 | u 45 12 | USER RCL B | |||
135 | 16 | CHS | 276 | 16 | CHS | 417 | 42,21, 8 | f LBL 8 | |||
136 | 12 | eˣ | 277 | 44 .2 | STO . 2 | 418 | 31 | R/S | |||
137 | 45,20, .8 | RCL × . 8 | 278 | 42 30 | f Re↔Im | 419 | u 45 12 | USER RCL B | |||
138 | 45,20, 9 | RCL × 9 | 279 | 11 | √x̅ | 420 | 22 8 | GTO 8 | |||
139 | 40 | + | 280 | 34 | x↔y | ||||||
140 | 45,20, 8 | RCL × 8 | 281 | 2 | 2 |