symplectic % Modify expression to add input arguments. % Example: % a = [1 2 3; 4 5 6]; % foo(a); symplectic close all symplectic y y = Columns 1 through 4 1.0000 1.0932 1.1670 1.2127 1.0000 0.7809 0.5255 0.2423 1.0000 1.0932 1.1670 1.2127 Columns 5 through 8 1.2241 1.1997 1.1429 1.0609 -0.0546 -0.3483 -0.6227 -0.8655 1.2241 1.1997 1.1429 1.0609 Columns 9 through 12 0.9629 0.8579 0.7531 0.6536 -1.0703 -1.2361 -1.3659 -1.4648 0.9629 0.8579 0.7531 0.6536 Columns 13 through 16 0.5623 0.4806 0.4089 0.3467 -1.5387 -1.5931 -1.6327 -1.6612 0.5623 0.4806 0.4089 0.3467 Columns 17 through 20 0.2932 0.2475 0.2087 0.1758 -1.6817 -1.6963 -1.7067 -1.7141 0.2932 0.2475 0.2087 0.1758 Columns 21 through 24 0.1480 0.1246 0.1048 0.0881 -1.7194 -1.7231 -1.7257 -1.7276 0.1480 0.1246 0.1048 0.0881 Columns 25 through 28 0.0741 0.0623 0.0524 0.0441 -1.7289 -1.7298 -1.7305 -1.7309 0.0741 0.0623 0.0524 0.0441 Columns 29 through 32 0.0370 0.0311 0.0262 0.0220 -1.7313 -1.7315 -1.7317 -1.7318 0.0370 0.0311 0.0262 0.0220 Columns 33 through 36 0.0185 0.0155 0.0131 0.0110 -1.7319 -1.7319 -1.7320 -1.7320 0.0185 0.0155 0.0131 0.0110 Columns 37 through 40 0.0092 0.0078 0.0065 0.0055 -1.7320 -1.7320 -1.7320 -1.7320 0.0092 0.0078 0.0065 0.0055 Columns 41 through 44 0.0046 0.0039 0.0033 0.0027 -1.7320 -1.7320 -1.7320 -1.7320 0.0046 0.0039 0.0033 0.0027 Columns 45 through 48 0.0023 0.0019 0.0016 0.0014 -1.7320 -1.7320 -1.7320 -1.7320 0.0023 0.0019 0.0016 0.0014 Columns 49 through 52 0.0011 0.0010 0.0008 0.0007 -1.7321 -1.7321 -1.7321 -1.7321 0.0011 0.0010 0.0008 0.0007 Columns 53 through 56 0.0006 0.0005 0.0004 0.0003 -1.7321 -1.7321 -1.7321 -1.7321 0.0006 0.0005 0.0004 0.0003 Columns 57 through 60 0.0003 0.0002 0.0002 0.0002 -1.7321 -1.7321 -1.7321 -1.7321 0.0003 0.0002 0.0002 0.0002 Columns 61 through 64 0.0001 0.0001 0.0001 0.0001 -1.7321 -1.7321 -1.7321 -1.7321 0.0001 0.0001 0.0001 0.0001 Columns 65 through 68 0.0001 0.0001 0.0001 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0001 0.0001 0.0001 0.0000 Columns 69 through 72 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 73 through 76 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 77 through 80 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 81 through 84 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 85 through 88 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 89 through 92 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 93 through 96 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 97 through 100 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 101 through 104 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 105 through 108 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 109 through 112 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 113 through 116 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 117 through 120 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 -0.0000 Columns 121 through 124 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 125 through 128 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 129 through 132 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 133 through 136 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 137 through 140 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 141 through 144 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 145 through 148 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 149 through 152 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 153 through 156 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 157 through 160 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 161 through 164 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 165 through 168 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 169 through 172 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 173 through 176 0.0001 0.0001 0.0001 0.0001 -1.7321 -1.7321 -1.7321 -1.7321 -0.0001 -0.0001 -0.0001 -0.0001 Columns 177 through 180 0.0001 0.0001 0.0002 0.0002 -1.7321 -1.7321 -1.7321 -1.7321 -0.0001 -0.0001 -0.0002 -0.0002 Columns 181 through 184 0.0002 0.0003 0.0003 0.0004 -1.7321 -1.7321 -1.7321 -1.7321 -0.0002 -0.0003 -0.0003 -0.0004 Columns 185 through 188 0.0004 0.0005 0.0006 0.0007 -1.7321 -1.7321 -1.7321 -1.7321 -0.0004 -0.0005 -0.0006 -0.0007 Columns 189 through 192 0.0009 0.0010 0.0012 0.0015 -1.7321 -1.7321 -1.7320 -1.7320 -0.0009 -0.0010 -0.0012 -0.0015 Columns 193 through 196 0.0017 0.0021 0.0025 0.0029 -1.7320 -1.7320 -1.7320 -1.7320 -0.0017 -0.0021 -0.0025 -0.0029 Columns 197 through 200 0.0035 0.0042 0.0049 0.0059 -1.7320 -1.7320 -1.7320 -1.7320 -0.0035 -0.0042 -0.0049 -0.0059 Columns 201 through 204 0.0070 0.0083 0.0099 0.0118 -1.7320 -1.7320 -1.7320 -1.7320 -0.0070 -0.0083 -0.0099 -0.0118 Columns 205 through 208 0.0140 0.0167 0.0198 0.0236 -1.7319 -1.7319 -1.7318 -1.7317 -0.0140 -0.0167 -0.0198 -0.0236 Columns 209 through 212 0.0280 0.0334 0.0397 0.0472 -1.7316 -1.7314 -1.7311 -1.7308 -0.0280 -0.0334 -0.0397 -0.0472 Columns 213 through 216 0.0562 0.0668 0.0794 0.0944 -1.7302 -1.7295 -1.7284 -1.7269 -0.0562 -0.0668 -0.0794 -0.0944 Columns 217 through 220 0.1123 0.1335 0.1586 0.1883 -1.7248 -1.7217 -1.7175 -1.7115 -0.1123 -0.1335 -0.1586 -0.1883 Columns 221 through 224 0.2234 0.2649 0.3135 0.3704 -1.7030 -1.6911 -1.6743 -1.6509 -0.2234 -0.2649 -0.3135 -0.3704 Columns 225 through 228 0.4363 0.5120 0.5976 0.6924 -1.6184 -1.5734 -1.5119 -1.4286 -0.4363 -0.5120 -0.5976 -0.6924 Columns 229 through 232 0.7946 0.9002 1.0033 1.0960 -1.3181 -1.1745 -0.9933 -0.7730 -0.7946 -0.9002 -1.0033 -1.0960 Columns 233 through 236 1.1690 1.2137 1.2239 1.1983 -0.5164 -0.2326 0.0645 0.3579 -1.1690 -1.2137 -1.2239 -1.1983 Columns 237 through 240 1.1405 1.0578 0.9595 0.8544 0.6314 0.8730 1.0765 1.2410 -1.1405 -1.0578 -0.9595 -0.8544 Columns 241 through 244 0.7497 0.6504 0.5594 0.4781 1.3696 1.4676 1.5408 1.5946 -0.7497 -0.6504 -0.5594 -0.4781 Columns 245 through 248 0.4067 0.3448 0.2916 0.2461 1.6338 1.6620 1.6823 1.6967 -0.4067 -0.3448 -0.2916 -0.2461 Columns 249 through 252 0.2075 0.1748 0.1472 0.1239 1.7070 1.7143 1.7195 1.7232 -0.2075 -0.1748 -0.1472 -0.1239 Columns 253 through 256 0.1042 0.0876 0.0737 0.0620 1.7258 1.7276 1.7289 1.7298 -0.1042 -0.0876 -0.0737 -0.0620 Columns 257 through 260 0.0521 0.0438 0.0368 0.0310 1.7305 1.7309 1.7313 1.7315 -0.0521 -0.0438 -0.0368 -0.0310 Columns 261 through 264 0.0260 0.0219 0.0184 0.0155 1.7317 1.7318 1.7319 1.7319 -0.0260 -0.0219 -0.0184 -0.0155 Columns 265 through 268 0.0130 0.0109 0.0092 0.0077 1.7320 1.7320 1.7320 1.7320 -0.0130 -0.0109 -0.0092 -0.0077 Columns 269 through 272 0.0065 0.0055 0.0046 0.0039 1.7320 1.7320 1.7320 1.7320 -0.0065 -0.0055 -0.0046 -0.0039 Columns 273 through 276 0.0032 0.0027 0.0023 0.0019 1.7320 1.7320 1.7320 1.7320 -0.0032 -0.0027 -0.0023 -0.0019 Columns 277 through 280 0.0016 0.0014 0.0011 0.0010 1.7320 1.7320 1.7321 1.7321 -0.0016 -0.0014 -0.0011 -0.0010 Columns 281 through 284 0.0008 0.0007 0.0006 0.0005 1.7321 1.7321 1.7321 1.7321 -0.0008 -0.0007 -0.0006 -0.0005 Columns 285 through 288 0.0004 0.0003 0.0003 0.0002 1.7321 1.7321 1.7321 1.7321 -0.0004 -0.0003 -0.0003 -0.0002 Columns 289 through 292 0.0002 0.0002 0.0001 0.0001 1.7321 1.7321 1.7321 1.7321 -0.0002 -0.0002 -0.0001 -0.0001 Columns 293 through 296 0.0001 0.0001 0.0001 0.0001 1.7321 1.7321 1.7321 1.7321 -0.0001 -0.0001 -0.0001 -0.0001 Columns 297 through 300 0.0001 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0001 -0.0000 -0.0000 -0.0000 Columns 301 through 304 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 305 through 308 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 309 through 312 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 313 through 316 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 317 through 320 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 321 through 324 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 325 through 328 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 329 through 332 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 333 through 336 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 337 through 340 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 341 through 344 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 345 through 348 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 349 through 352 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 353 through 356 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 357 through 360 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 361 through 364 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 365 through 368 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 369 through 372 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 373 through 376 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 377 through 380 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 381 through 384 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 385 through 388 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 389 through 392 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 393 through 396 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 397 through 400 0.0000 0.0000 0.0000 0.0000 1.7321 1.7321 1.7321 1.7321 0.0000 0.0000 0.0000 0.0000 Columns 401 through 404 0.0001 0.0001 0.0001 0.0001 1.7321 1.7321 1.7321 1.7321 0.0001 0.0001 0.0001 0.0001 Columns 405 through 408 0.0001 0.0001 0.0002 0.0002 1.7321 1.7321 1.7321 1.7321 0.0001 0.0001 0.0002 0.0002 Columns 409 through 412 0.0002 0.0003 0.0003 0.0004 1.7321 1.7321 1.7321 1.7321 0.0002 0.0003 0.0003 0.0004 Columns 413 through 416 0.0005 0.0005 0.0007 0.0008 1.7321 1.7321 1.7321 1.7321 0.0005 0.0005 0.0007 0.0008 Columns 417 through 420 0.0009 0.0011 0.0013 0.0016 1.7321 1.7321 1.7320 1.7320 0.0009 0.0011 0.0013 0.0016 Columns 421 through 424 0.0019 0.0022 0.0026 0.0031 1.7320 1.7320 1.7320 1.7320 0.0019 0.0022 0.0026 0.0031 Columns 425 through 428 0.0037 0.0044 0.0053 0.0062 1.7320 1.7320 1.7320 1.7320 0.0037 0.0044 0.0053 0.0062 Columns 429 through 432 0.0074 0.0088 0.0105 0.0125 1.7320 1.7320 1.7320 1.7320 0.0074 0.0088 0.0105 0.0125 Columns 433 through 436 0.0149 0.0177 0.0211 0.0251 1.7319 1.7319 1.7318 1.7317 0.0149 0.0177 0.0211 0.0251 Columns 437 through 440 0.0298 0.0355 0.0422 0.0502 1.7315 1.7313 1.7310 1.7306 0.0298 0.0355 0.0422 0.0502 Columns 441 through 444 0.0597 0.0710 0.0844 0.1004 1.7300 1.7291 1.7279 1.7262 0.0597 0.0710 0.0844 0.1004 Columns 445 through 448 0.1193 0.1418 0.1685 0.2000 1.7238 1.7204 1.7156 1.7088 0.1193 0.1418 0.1685 0.2000 Columns 449 through 452 0.2373 0.2812 0.3326 0.3926 1.6992 1.6858 1.6670 1.6407 0.2373 0.2812 0.3326 0.3926 Columns 453 through 456 0.4619 0.5411 0.6301 0.7278 1.6041 1.5538 1.4853 1.3931 0.4619 0.5411 0.6301 0.7278 Columns 457 through 460 0.8317 0.9372 1.0377 1.1245 1.2715 1.1150 0.9200 0.6863 0.8317 0.9372 1.0377 1.1245 Columns 461 through 464 1.1884 1.2214 1.2189 1.1813 0.4188 0.1284 -0.1693 -0.4573 1.1884 1.2214 1.2189 1.1813 Columns 465 through 468 1.1137 1.0244 0.9228 0.8171 -0.7207 -0.9493 -1.1388 -1.2902 1.1137 1.0244 0.9228 0.8171 Columns 469 through 472 0.7139 0.6173 0.5296 0.4518 -1.4074 -1.4960 -1.5618 -1.6099 0.7139 0.6173 0.5296 0.4518 Columns 473 through 476 0.3838 0.3250 0.2747 0.2318 -1.6448 -1.6699 -1.6879 -1.7007 0.3838 0.3250 0.2747 0.2318 Columns 477 through 480 0.1954 0.1645 0.1385 0.1165 -1.7099 -1.7163 -1.7209 -1.7242 0.1954 0.1645 0.1385 0.1165 Columns 481 through 484 0.0980 0.0824 0.0693 0.0583 -1.7265 -1.7281 -1.7293 -1.7301 0.0980 0.0824 0.0693 0.0583 Columns 485 through 488 0.0490 0.0412 0.0346 0.0291 -1.7307 -1.7311 -1.7314 -1.7316 0.0490 0.0412 0.0346 0.0291 Columns 489 through 492 0.0245 0.0206 0.0173 0.0145 -1.7317 -1.7318 -1.7319 -1.7319 0.0245 0.0206 0.0173 0.0145 Columns 493 through 496 0.0122 0.0103 0.0086 0.0073 -1.7320 -1.7320 -1.7320 -1.7320 0.0122 0.0103 0.0086 0.0073 Columns 497 through 500 0.0061 0.0051 0.0043 0.0036 -1.7320 -1.7320 -1.7320 -1.7320 0.0061 0.0051 0.0043 0.0036 Columns 501 through 504 0.0030 0.0026 0.0022 0.0018 -1.7320 -1.7320 -1.7320 -1.7320 0.0030 0.0026 0.0022 0.0018 Columns 505 through 508 0.0015 0.0013 0.0011 0.0009 -1.7320 -1.7320 -1.7321 -1.7321 0.0015 0.0013 0.0011 0.0009 Columns 509 through 512 0.0008 0.0006 0.0005 0.0005 -1.7321 -1.7321 -1.7321 -1.7321 0.0008 0.0006 0.0005 0.0005 Columns 513 through 516 0.0004 0.0003 0.0003 0.0002 -1.7321 -1.7321 -1.7321 -1.7321 0.0004 0.0003 0.0003 0.0002 Columns 517 through 520 0.0002 0.0002 0.0001 0.0001 -1.7321 -1.7321 -1.7321 -1.7321 0.0002 0.0002 0.0001 0.0001 Columns 521 through 524 0.0001 0.0001 0.0001 0.0001 -1.7321 -1.7321 -1.7321 -1.7321 0.0001 0.0001 0.0001 0.0001 Columns 525 through 528 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 529 through 532 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 533 through 536 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 537 through 540 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 541 through 544 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 545 through 548 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 549 through 552 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 553 through 556 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 557 through 560 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 561 through 564 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 565 through 568 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 569 through 572 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 0.0000 0.0000 Columns 573 through 576 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 0.0000 0.0000 -0.0000 -0.0000 Columns 577 through 580 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 581 through 584 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 585 through 588 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 589 through 592 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 593 through 596 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Columns 597 through 600 0.0000 0.0000 0.0000 0.0000 -1.7321 -1.7321 -1.7321 -1.7321 -0.0000 -0.0000 -0.0000 -0.0000 Column 601 0.0000 -1.7321 -0.0000 y(1,:).^2+y(2,:).^2+y(3,:).^2 ans = Columns 1 through 4 3.0000 3.0000 3.0000 3.0000 Columns 5 through 8 3.0000 3.0000 3.0000 3.0000 Columns 9 through 12 3.0000 3.0000 3.0000 3.0000 Columns 13 through 16 3.0000 3.0000 3.0000 3.0000 Columns 17 through 20 3.0000 3.0000 3.0000 3.0000 Columns 21 through 24 3.0000 3.0000 3.0000 3.0000 Columns 25 through 28 3.0000 3.0000 3.0000 3.0000 Columns 29 through 32 3.0000 3.0000 3.0000 3.0000 Columns 33 through 36 3.0000 3.0000 3.0000 3.0000 Columns 37 through 40 3.0000 3.0000 3.0000 3.0000 Columns 41 through 44 3.0000 3.0000 3.0000 3.0000 Columns 45 through 48 3.0000 3.0000 3.0000 3.0000 Columns 49 through 52 3.0000 3.0000 3.0000 3.0000 Columns 53 through 56 3.0000 3.0000 3.0000 3.0000 Columns 57 through 60 3.0000 3.0000 3.0000 3.0000 Columns 61 through 64 3.0000 3.0000 3.0000 3.0000 Columns 65 through 68 3.0000 3.0000 3.0000 3.0000 Columns 69 through 72 3.0000 3.0000 3.0000 3.0000 Columns 73 through 76 3.0000 3.0000 3.0000 3.0000 Columns 77 through 80 3.0000 3.0000 3.0000 3.0000 Columns 81 through 84 3.0000 3.0000 3.0000 3.0000 Columns 85 through 88 3.0000 3.0000 3.0000 3.0000 Columns 89 through 92 3.0000 3.0000 3.0000 3.0000 Columns 93 through 96 3.0000 3.0000 3.0000 3.0000 Columns 97 through 100 3.0000 3.0000 3.0000 3.0000 Columns 101 through 104 3.0000 3.0000 3.0000 3.0000 Columns 105 through 108 3.0000 3.0000 3.0000 3.0000 Columns 109 through 112 3.0000 3.0000 3.0000 3.0000 Columns 113 through 116 3.0000 3.0000 3.0000 3.0000 Columns 117 through 120 3.0000 3.0000 3.0000 3.0000 Columns 121 through 124 3.0000 3.0000 3.0000 3.0000 Columns 125 through 128 3.0000 3.0000 3.0000 3.0000 Columns 129 through 132 3.0000 3.0000 3.0000 3.0000 Columns 133 through 136 3.0000 3.0000 3.0000 3.0000 Columns 137 through 140 3.0000 3.0000 3.0000 3.0000 Columns 141 through 144 3.0000 3.0000 3.0000 3.0000 Columns 145 through 148 3.0000 3.0000 3.0000 3.0000 Columns 149 through 152 3.0000 3.0000 3.0000 3.0000 Columns 153 through 156 3.0000 3.0000 3.0000 3.0000 Columns 157 through 160 3.0000 3.0000 3.0000 3.0000 Columns 161 through 164 3.0000 3.0000 3.0000 3.0000 Columns 165 through 168 3.0000 3.0000 3.0000 3.0000 Columns 169 through 172 3.0000 3.0000 3.0000 3.0000 Columns 173 through 176 3.0000 3.0000 3.0000 3.0000 Columns 177 through 180 3.0000 3.0000 3.0000 3.0000 Columns 181 through 184 3.0000 3.0000 3.0000 3.0000 Columns 185 through 188 3.0000 3.0000 3.0000 3.0000 Columns 189 through 192 3.0000 3.0000 3.0000 3.0000 Columns 193 through 196 3.0000 3.0000 3.0000 3.0000 Columns 197 through 200 3.0000 3.0000 3.0000 3.0000 Columns 201 through 204 3.0000 3.0000 3.0000 3.0000 Columns 205 through 208 3.0000 3.0000 3.0000 3.0000 Columns 209 through 212 3.0000 3.0000 3.0000 3.0000 Columns 213 through 216 3.0000 3.0000 3.0000 3.0000 Columns 217 through 220 3.0000 3.0000 3.0000 3.0000 Columns 221 through 224 3.0000 3.0000 3.0000 3.0000 Columns 225 through 228 3.0000 3.0000 3.0000 3.0000 Columns 229 through 232 3.0000 3.0000 3.0000 3.0000 Columns 233 through 236 3.0000 3.0000 3.0000 3.0000 Columns 237 through 240 3.0000 3.0000 3.0000 3.0000 Columns 241 through 244 3.0000 3.0000 3.0000 3.0000 Columns 245 through 248 3.0000 3.0000 3.0000 3.0000 Columns 249 through 252 3.0000 3.0000 3.0000 3.0000 Columns 253 through 256 3.0000 3.0000 3.0000 3.0000 Columns 257 through 260 3.0000 3.0000 3.0000 3.0000 Columns 261 through 264 3.0000 3.0000 3.0000 3.0000 Columns 265 through 268 3.0000 3.0000 3.0000 3.0000 Columns 269 through 272 3.0000 3.0000 3.0000 3.0000 Columns 273 through 276 3.0000 3.0000 3.0000 3.0000 Columns 277 through 280 3.0000 3.0000 3.0000 3.0000 Columns 281 through 284 3.0000 3.0000 3.0000 3.0000 Columns 285 through 288 3.0000 3.0000 3.0000 3.0000 Columns 289 through 292 3.0000 3.0000 3.0000 3.0000 Columns 293 through 296 3.0000 3.0000 3.0000 3.0000 Columns 297 through 300 3.0000 3.0000 3.0000 3.0000 Columns 301 through 304 3.0000 3.0000 3.0000 3.0000 Columns 305 through 308 3.0000 3.0000 3.0000 3.0000 Columns 309 through 312 3.0000 3.0000 3.0000 3.0000 Columns 313 through 316 3.0000 3.0000 3.0000 3.0000 Columns 317 through 320 3.0000 3.0000 3.0000 3.0000 Columns 321 through 324 3.0000 3.0000 3.0000 3.0000 Columns 325 through 328 3.0000 3.0000 3.0000 3.0000 Columns 329 through 332 3.0000 3.0000 3.0000 3.0000 Columns 333 through 336 3.0000 3.0000 3.0000 3.0000 Columns 337 through 340 3.0000 3.0000 3.0000 3.0000 Columns 341 through 344 3.0000 3.0000 3.0000 3.0000 Columns 345 through 348 3.0000 3.0000 3.0000 3.0000 Columns 349 through 352 3.0000 3.0000 3.0000 3.0000 Columns 353 through 356 3.0000 3.0000 3.0000 3.0000 Columns 357 through 360 3.0000 3.0000 3.0000 3.0000 Columns 361 through 364 3.0000 3.0000 3.0000 3.0000 Columns 365 through 368 3.0000 3.0000 3.0000 3.0000 Columns 369 through 372 3.0000 3.0000 3.0000 3.0000 Columns 373 through 376 3.0000 3.0000 3.0000 3.0000 Columns 377 through 380 3.0000 3.0000 3.0000 3.0000 Columns 381 through 384 3.0000 3.0000 3.0000 3.0000 Columns 385 through 388 3.0000 3.0000 3.0000 3.0000 Columns 389 through 392 3.0000 3.0000 3.0000 3.0000 Columns 393 through 396 3.0000 3.0000 3.0000 3.0000 Columns 397 through 400 3.0000 3.0000 3.0000 3.0000 Columns 401 through 404 3.0000 3.0000 3.0000 3.0000 Columns 405 through 408 3.0000 3.0000 3.0000 3.0000 Columns 409 through 412 3.0000 3.0000 3.0000 3.0000 Columns 413 through 416 3.0000 3.0000 3.0000 3.0000 Columns 417 through 420 3.0000 3.0000 3.0000 3.0000 Columns 421 through 424 3.0000 3.0000 3.0000 3.0000 Columns 425 through 428 3.0000 3.0000 3.0000 3.0000 Columns 429 through 432 3.0000 3.0000 3.0000 3.0000 Columns 433 through 436 3.0000 3.0000 3.0000 3.0000 Columns 437 through 440 3.0000 3.0000 3.0000 3.0000 Columns 441 through 444 3.0000 3.0000 3.0000 3.0000 Columns 445 through 448 3.0000 3.0000 3.0000 3.0000 Columns 449 through 452 3.0000 3.0000 3.0000 3.0000 Columns 453 through 456 3.0000 3.0000 3.0000 3.0000 Columns 457 through 460 3.0000 3.0000 3.0000 3.0000 Columns 461 through 464 3.0000 3.0000 3.0000 3.0000 Columns 465 through 468 3.0000 3.0000 3.0000 3.0000 Columns 469 through 472 3.0000 3.0000 3.0000 3.0000 Columns 473 through 476 3.0000 3.0000 3.0000 3.0000 Columns 477 through 480 3.0000 3.0000 3.0000 3.0000 Columns 481 through 484 3.0000 3.0000 3.0000 3.0000 Columns 485 through 488 3.0000 3.0000 3.0000 3.0000 Columns 489 through 492 3.0000 3.0000 3.0000 3.0000 Columns 493 through 496 3.0000 3.0000 3.0000 3.0000 Columns 497 through 500 3.0000 3.0000 3.0000 3.0000 Columns 501 through 504 3.0000 3.0000 3.0000 3.0000 Columns 505 through 508 3.0000 3.0000 3.0000 3.0000 Columns 509 through 512 3.0000 3.0000 3.0000 3.0000 Columns 513 through 516 3.0000 3.0000 3.0000 3.0000 Columns 517 through 520 3.0000 3.0000 3.0000 3.0000 Columns 521 through 524 3.0000 3.0000 3.0000 3.0000 Columns 525 through 528 3.0000 3.0000 3.0000 3.0000 Columns 529 through 532 3.0000 3.0000 3.0000 3.0000 Columns 533 through 536 3.0000 3.0000 3.0000 3.0000 Columns 537 through 540 3.0000 3.0000 3.0000 3.0000 Columns 541 through 544 3.0000 3.0000 3.0000 3.0000 Columns 545 through 548 3.0000 3.0000 3.0000 3.0000 Columns 549 through 552 3.0000 3.0000 3.0000 3.0000 Columns 553 through 556 3.0000 3.0000 3.0000 3.0000 Columns 557 through 560 3.0000 3.0000 3.0000 3.0000 Columns 561 through 564 3.0000 3.0000 3.0000 3.0000 Columns 565 through 568 3.0000 3.0000 3.0000 3.0000 Columns 569 through 572 3.0000 3.0000 3.0000 3.0000 Columns 573 through 576 3.0000 3.0000 3.0000 3.0000 Columns 577 through 580 3.0000 3.0000 3.0000 3.0000 Columns 581 through 584 3.0000 3.0000 3.0000 3.0000 Columns 585 through 588 3.0000 3.0000 3.0000 3.0000 Columns 589 through 592 3.0000 3.0000 3.0000 3.0000 Columns 593 through 596 3.0000 3.0000 3.0000 3.0000 Columns 597 through 600 3.0000 3.0000 3.0000 3.0000 Column 601 3.0000 format long e y(1,:).^2+y(2,:).^2+y(3,:).^2 ans = Column 1 3.000000000000000e+00 Column 2 3.000000000000000e+00 Column 3 3.000000000000000e+00 Column 4 3.000000000000000e+00 Column 5 3.000000000000001e+00 Column 6 3.000000000000001e+00 Column 7 3.000000000000001e+00 Column 8 3.000000000000001e+00 Column 9 3.000000000000001e+00 Column 10 3.000000000000001e+00 Column 11 3.000000000000001e+00 Column 12 3.000000000000001e+00 Column 13 3.000000000000001e+00 Column 14 3.000000000000001e+00 Column 15 3.000000000000001e+00 Column 16 3.000000000000001e+00 Column 17 3.000000000000001e+00 Column 18 3.000000000000001e+00 Column 19 3.000000000000001e+00 Column 20 3.000000000000001e+00 Column 21 3.000000000000001e+00 Column 22 3.000000000000001e+00 Column 23 3.000000000000001e+00 Column 24 3.000000000000000e+00 Column 25 3.000000000000000e+00 Column 26 3.000000000000000e+00 Column 27 3.000000000000000e+00 Column 28 3.000000000000000e+00 Column 29 3.000000000000001e+00 Column 30 3.000000000000000e+00 Column 31 3.000000000000000e+00 Column 32 3.000000000000000e+00 Column 33 3.000000000000000e+00 Column 34 3.000000000000000e+00 Column 35 3.000000000000000e+00 Column 36 3.000000000000000e+00 Column 37 3.000000000000000e+00 Column 38 3.000000000000000e+00 Column 39 3.000000000000000e+00 Column 40 3.000000000000000e+00 Column 41 3.000000000000000e+00 Column 42 2.999999999999999e+00 Column 43 3.000000000000000e+00 Column 44 3.000000000000000e+00 Column 45 2.999999999999999e+00 Column 46 2.999999999999999e+00 Column 47 2.999999999999999e+00 Column 48 2.999999999999999e+00 Column 49 2.999999999999999e+00 Column 50 2.999999999999999e+00 Column 51 3.000000000000000e+00 Column 52 3.000000000000000e+00 Column 53 3.000000000000000e+00 Column 54 3.000000000000000e+00 Column 55 3.000000000000000e+00 Column 56 3.000000000000000e+00 Column 57 3.000000000000000e+00 Column 58 3.000000000000000e+00 Column 59 3.000000000000000e+00 Column 60 3.000000000000000e+00 Column 61 3.000000000000000e+00 Column 62 3.000000000000000e+00 Column 63 3.000000000000000e+00 Column 64 3.000000000000000e+00 Column 65 3.000000000000000e+00 Column 66 3.000000000000000e+00 Column 67 3.000000000000000e+00 Column 68 3.000000000000000e+00 Column 69 3.000000000000000e+00 Column 70 3.000000000000000e+00 Column 71 3.000000000000000e+00 Column 72 3.000000000000001e+00 Column 73 3.000000000000000e+00 Column 74 3.000000000000000e+00 Column 75 3.000000000000000e+00 Column 76 3.000000000000001e+00 Column 77 3.000000000000000e+00 Column 78 3.000000000000000e+00 Column 79 3.000000000000000e+00 Column 80 3.000000000000000e+00 Column 81 3.000000000000000e+00 Column 82 3.000000000000000e+00 Column 83 3.000000000000000e+00 Column 84 3.000000000000000e+00 Column 85 2.999999999999970e+00 Column 86 2.999999999999949e+00 Column 87 2.999999999999934e+00 Column 88 2.999999999999923e+00 Column 89 2.999999999999915e+00 Column 90 2.999999999999909e+00 Column 91 2.999999999999905e+00 Column 92 2.999999999999902e+00 Column 93 2.999999999999901e+00 Column 94 2.999999999999899e+00 Column 95 2.999999999999897e+00 Column 96 2.999999999999897e+00 Column 97 2.999999999999897e+00 Column 98 2.999999999999897e+00 Column 99 2.999999999999897e+00 Column 100 2.999999999999897e+00 Column 101 2.999999999999897e+00 Column 102 2.999999999999896e+00 Column 103 2.999999999999895e+00 Column 104 2.999999999999895e+00 Column 105 2.999999999999896e+00 Column 106 2.999999999999896e+00 Column 107 2.999999999999896e+00 Column 108 2.999999999999896e+00 Column 109 2.999999999999896e+00 Column 110 2.999999999999896e+00 Column 111 2.999999999999896e+00 Column 112 2.999999999999896e+00 Column 113 2.999999999999896e+00 Column 114 2.999999999999896e+00 Column 115 2.999999999999895e+00 Column 116 2.999999999999895e+00 Column 117 2.999999999999895e+00 Column 118 2.999999999999895e+00 Column 119 2.999999999999895e+00 Column 120 2.999999999999895e+00 Column 121 2.999999999999895e+00 Column 122 2.999999999999895e+00 Column 123 2.999999999999895e+00 Column 124 2.999999999999895e+00 Column 125 2.999999999999896e+00 Column 126 2.999999999999896e+00 Column 127 2.999999999999896e+00 Column 128 2.999999999999896e+00 Column 129 2.999999999999896e+00 Column 130 2.999999999999895e+00 Column 131 2.999999999999895e+00 Column 132 2.999999999999896e+00 Column 133 2.999999999999896e+00 Column 134 2.999999999999896e+00 Column 135 2.999999999999896e+00 Column 136 2.999999999999896e+00 Column 137 2.999999999999896e+00 Column 138 2.999999999999896e+00 Column 139 2.999999999999896e+00 Column 140 2.999999999999896e+00 Column 141 2.999999999999896e+00 Column 142 2.999999999999896e+00 Column 143 2.999999999999897e+00 Column 144 2.999999999999897e+00 Column 145 2.999999999999897e+00 Column 146 2.999999999999898e+00 Column 147 2.999999999999900e+00 Column 148 2.999999999999902e+00 Column 149 2.999999999999905e+00 Column 150 2.999999999999909e+00 Column 151 2.999999999999915e+00 Column 152 2.999999999999924e+00 Column 153 2.999999999999937e+00 Column 154 2.999999999999955e+00 Column 155 2.999999999999980e+00 Column 156 2.999999999999979e+00 Column 157 2.999999999999980e+00 Column 158 2.999999999999979e+00 Column 159 2.999999999999980e+00 Column 160 2.999999999999980e+00 Column 161 2.999999999999979e+00 Column 162 2.999999999999979e+00 Column 163 2.999999999999979e+00 Column 164 2.999999999999979e+00 Column 165 2.999999999999978e+00 Column 166 2.999999999999978e+00 Column 167 2.999999999999978e+00 Column 168 2.999999999999978e+00 Column 169 2.999999999999979e+00 Column 170 2.999999999999978e+00 Column 171 2.999999999999978e+00 Column 172 2.999999999999978e+00 Column 173 2.999999999999978e+00 Column 174 2.999999999999978e+00 Column 175 2.999999999999978e+00 Column 176 2.999999999999978e+00 Column 177 2.999999999999978e+00 Column 178 2.999999999999978e+00 Column 179 2.999999999999978e+00 Column 180 2.999999999999978e+00 Column 181 2.999999999999978e+00 Column 182 2.999999999999978e+00 Column 183 2.999999999999978e+00 Column 184 2.999999999999977e+00 Column 185 2.999999999999978e+00 Column 186 2.999999999999977e+00 Column 187 2.999999999999977e+00 Column 188 2.999999999999977e+00 Column 189 2.999999999999977e+00 Column 190 2.999999999999977e+00 Column 191 2.999999999999976e+00 Column 192 2.999999999999976e+00 Column 193 2.999999999999977e+00 Column 194 2.999999999999977e+00 Column 195 2.999999999999977e+00 Column 196 2.999999999999977e+00 Column 197 2.999999999999977e+00 Column 198 2.999999999999976e+00 Column 199 2.999999999999977e+00 Column 200 2.999999999999977e+00 Column 201 2.999999999999977e+00 Column 202 2.999999999999976e+00 Column 203 2.999999999999976e+00 Column 204 2.999999999999976e+00 Column 205 2.999999999999976e+00 Column 206 2.999999999999975e+00 Column 207 2.999999999999975e+00 Column 208 2.999999999999975e+00 Column 209 2.999999999999975e+00 Column 210 2.999999999999975e+00 Column 211 2.999999999999975e+00 Column 212 2.999999999999975e+00 Column 213 2.999999999999974e+00 Column 214 2.999999999999974e+00 Column 215 2.999999999999974e+00 Column 216 2.999999999999975e+00 Column 217 2.999999999999974e+00 Column 218 2.999999999999974e+00 Column 219 2.999999999999974e+00 Column 220 2.999999999999974e+00 Column 221 2.999999999999974e+00 Column 222 2.999999999999974e+00 Column 223 2.999999999999974e+00 Column 224 2.999999999999974e+00 Column 225 2.999999999999975e+00 Column 226 2.999999999999975e+00 Column 227 2.999999999999975e+00 Column 228 2.999999999999975e+00 Column 229 2.999999999999975e+00 Column 230 2.999999999999974e+00 Column 231 2.999999999999975e+00 Column 232 2.999999999999975e+00 Column 233 2.999999999999975e+00 Column 234 2.999999999999976e+00 Column 235 2.999999999999976e+00 Column 236 2.999999999999976e+00 Column 237 2.999999999999975e+00 Column 238 2.999999999999975e+00 Column 239 2.999999999999976e+00 Column 240 2.999999999999975e+00 Column 241 2.999999999999976e+00 Column 242 2.999999999999975e+00 Column 243 2.999999999999975e+00 Column 244 2.999999999999975e+00 Column 245 2.999999999999974e+00 Column 246 2.999999999999975e+00 Column 247 2.999999999999975e+00 Column 248 2.999999999999975e+00 Column 249 2.999999999999975e+00 Column 250 2.999999999999975e+00 Column 251 2.999999999999974e+00 Column 252 2.999999999999974e+00 Column 253 2.999999999999974e+00 Column 254 2.999999999999974e+00 Column 255 2.999999999999974e+00 Column 256 2.999999999999974e+00 Column 257 2.999999999999975e+00 Column 258 2.999999999999975e+00 Column 259 2.999999999999976e+00 Column 260 2.999999999999975e+00 Column 261 2.999999999999975e+00 Column 262 2.999999999999975e+00 Column 263 2.999999999999975e+00 Column 264 2.999999999999975e+00 Column 265 2.999999999999975e+00 Column 266 2.999999999999975e+00 Column 267 2.999999999999975e+00 Column 268 2.999999999999975e+00 Column 269 2.999999999999975e+00 Column 270 2.999999999999975e+00 Column 271 2.999999999999976e+00 Column 272 2.999999999999975e+00 Column 273 2.999999999999976e+00 Column 274 2.999999999999976e+00 Column 275 2.999999999999976e+00 Column 276 2.999999999999976e+00 Column 277 2.999999999999976e+00 Column 278 2.999999999999976e+00 Column 279 2.999999999999976e+00 Column 280 2.999999999999976e+00 Column 281 2.999999999999976e+00 Column 282 2.999999999999976e+00 Column 283 2.999999999999976e+00 Column 284 2.999999999999976e+00 Column 285 2.999999999999976e+00 Column 286 2.999999999999976e+00 Column 287 2.999999999999976e+00 Column 288 2.999999999999976e+00 Column 289 2.999999999999976e+00 Column 290 2.999999999999976e+00 Column 291 2.999999999999976e+00 Column 292 2.999999999999976e+00 Column 293 2.999999999999976e+00 Column 294 2.999999999999976e+00 Column 295 2.999999999999976e+00 Column 296 2.999999999999976e+00 Column 297 2.999999999999976e+00 Column 298 2.999999999999976e+00 Column 299 2.999999999999976e+00 Column 300 2.999999999999976e+00 Column 301 2.999999999999976e+00 Column 302 2.999999999999976e+00 Column 303 2.999999999999976e+00 Column 304 2.999999999999976e+00 Column 305 2.999999999999976e+00 Column 306 2.999999999999976e+00 Column 307 2.999999999999976e+00 Column 308 2.999999999999977e+00 Column 309 2.999999999999976e+00 Column 310 2.999999999999976e+00 Column 311 2.999999999999976e+00 Column 312 2.999999999999976e+00 Column 313 2.999999999999976e+00 Column 314 2.999999999999976e+00 Column 315 2.999999999999946e+00 Column 316 2.999999999999924e+00 Column 317 2.999999999999909e+00 Column 318 2.999999999999898e+00 Column 319 2.999999999999890e+00 Column 320 2.999999999999885e+00 Column 321 2.999999999999881e+00 Column 322 2.999999999999880e+00 Column 323 2.999999999999877e+00 Column 324 2.999999999999876e+00 Column 325 2.999999999999875e+00 Column 326 2.999999999999874e+00 Column 327 2.999999999999874e+00 Column 328 2.999999999999874e+00 Column 329 2.999999999999873e+00 Column 330 2.999999999999873e+00 Column 331 2.999999999999873e+00 Column 332 2.999999999999873e+00 Column 333 2.999999999999872e+00 Column 334 2.999999999999872e+00 Column 335 2.999999999999872e+00 Column 336 2.999999999999873e+00 Column 337 2.999999999999873e+00 Column 338 2.999999999999873e+00 Column 339 2.999999999999873e+00 Column 340 2.999999999999873e+00 Column 341 2.999999999999873e+00 Column 342 2.999999999999873e+00 Column 343 2.999999999999873e+00 Column 344 2.999999999999873e+00 Column 345 2.999999999999873e+00 Column 346 2.999999999999872e+00 Column 347 2.999999999999872e+00 Column 348 2.999999999999872e+00 Column 349 2.999999999999872e+00 Column 350 2.999999999999872e+00 Column 351 2.999999999999872e+00 Column 352 2.999999999999873e+00 Column 353 2.999999999999873e+00 Column 354 2.999999999999873e+00 Column 355 2.999999999999873e+00 Column 356 2.999999999999873e+00 Column 357 2.999999999999873e+00 Column 358 2.999999999999873e+00 Column 359 2.999999999999873e+00 Column 360 2.999999999999873e+00 Column 361 2.999999999999873e+00 Column 362 2.999999999999873e+00 Column 363 2.999999999999873e+00 Column 364 2.999999999999873e+00 Column 365 2.999999999999873e+00 Column 366 2.999999999999873e+00 Column 367 2.999999999999873e+00 Column 368 2.999999999999873e+00 Column 369 2.999999999999873e+00 Column 370 2.999999999999874e+00 Column 371 2.999999999999874e+00 Column 372 2.999999999999875e+00 Column 373 2.999999999999876e+00 Column 374 2.999999999999877e+00 Column 375 2.999999999999879e+00 Column 376 2.999999999999881e+00 Column 377 2.999999999999885e+00 Column 378 2.999999999999889e+00 Column 379 2.999999999999897e+00 Column 380 2.999999999999907e+00 Column 381 2.999999999999921e+00 Column 382 2.999999999999940e+00 Column 383 2.999999999999968e+00 Column 384 2.999999999999968e+00 Column 385 2.999999999999968e+00 Column 386 2.999999999999968e+00 Column 387 2.999999999999968e+00 Column 388 2.999999999999968e+00 Column 389 2.999999999999969e+00 Column 390 2.999999999999969e+00 Column 391 2.999999999999969e+00 Column 392 2.999999999999969e+00 Column 393 2.999999999999969e+00 Column 394 2.999999999999969e+00 Column 395 2.999999999999969e+00 Column 396 2.999999999999969e+00 Column 397 2.999999999999969e+00 Column 398 2.999999999999968e+00 Column 399 2.999999999999968e+00 Column 400 2.999999999999968e+00 Column 401 2.999999999999968e+00 Column 402 2.999999999999968e+00 Column 403 2.999999999999968e+00 Column 404 2.999999999999968e+00 Column 405 2.999999999999967e+00 Column 406 2.999999999999968e+00 Column 407 2.999999999999968e+00 Column 408 2.999999999999968e+00 Column 409 2.999999999999968e+00 Column 410 2.999999999999968e+00 Column 411 2.999999999999968e+00 Column 412 2.999999999999968e+00 Column 413 2.999999999999968e+00 Column 414 2.999999999999968e+00 Column 415 2.999999999999968e+00 Column 416 2.999999999999967e+00 Column 417 2.999999999999968e+00 Column 418 2.999999999999968e+00 Column 419 2.999999999999967e+00 Column 420 2.999999999999967e+00 Column 421 2.999999999999967e+00 Column 422 2.999999999999967e+00 Column 423 2.999999999999967e+00 Column 424 2.999999999999967e+00 Column 425 2.999999999999967e+00 Column 426 2.999999999999967e+00 Column 427 2.999999999999967e+00 Column 428 2.999999999999967e+00 Column 429 2.999999999999967e+00 Column 430 2.999999999999967e+00 Column 431 2.999999999999967e+00 Column 432 2.999999999999967e+00 Column 433 2.999999999999967e+00 Column 434 2.999999999999967e+00 Column 435 2.999999999999967e+00 Column 436 2.999999999999966e+00 Column 437 2.999999999999966e+00 Column 438 2.999999999999966e+00 Column 439 2.999999999999967e+00 Column 440 2.999999999999967e+00 Column 441 2.999999999999967e+00 Column 442 2.999999999999967e+00 Column 443 2.999999999999967e+00 Column 444 2.999999999999967e+00 Column 445 2.999999999999967e+00 Column 446 2.999999999999968e+00 Column 447 2.999999999999967e+00 Column 448 2.999999999999967e+00 Column 449 2.999999999999967e+00 Column 450 2.999999999999968e+00 Column 451 2.999999999999967e+00 Column 452 2.999999999999967e+00 Column 453 2.999999999999968e+00 Column 454 2.999999999999968e+00 Column 455 2.999999999999968e+00 Column 456 2.999999999999968e+00 Column 457 2.999999999999968e+00 Column 458 2.999999999999968e+00 Column 459 2.999999999999968e+00 Column 460 2.999999999999968e+00 Column 461 2.999999999999968e+00 Column 462 2.999999999999968e+00 Column 463 2.999999999999967e+00 Column 464 2.999999999999968e+00 Column 465 2.999999999999968e+00 Column 466 2.999999999999968e+00 Column 467 2.999999999999968e+00 Column 468 2.999999999999969e+00 Column 469 2.999999999999968e+00 Column 470 2.999999999999968e+00 Column 471 2.999999999999968e+00 Column 472 2.999999999999968e+00 Column 473 2.999999999999969e+00 Column 474 2.999999999999969e+00 Column 475 2.999999999999969e+00 Column 476 2.999999999999970e+00 Column 477 2.999999999999970e+00 Column 478 2.999999999999970e+00 Column 479 2.999999999999971e+00 Column 480 2.999999999999971e+00 Column 481 2.999999999999971e+00 Column 482 2.999999999999972e+00 Column 483 2.999999999999972e+00 Column 484 2.999999999999972e+00 Column 485 2.999999999999972e+00 Column 486 2.999999999999972e+00 Column 487 2.999999999999972e+00 Column 488 2.999999999999972e+00 Column 489 2.999999999999972e+00 Column 490 2.999999999999972e+00 Column 491 2.999999999999972e+00 Column 492 2.999999999999972e+00 Column 493 2.999999999999971e+00 Column 494 2.999999999999971e+00 Column 495 2.999999999999971e+00 Column 496 2.999999999999971e+00 Column 497 2.999999999999971e+00 Column 498 2.999999999999970e+00 Column 499 2.999999999999971e+00 Column 500 2.999999999999971e+00 Column 501 2.999999999999971e+00 Column 502 2.999999999999971e+00 Column 503 2.999999999999971e+00 Column 504 2.999999999999972e+00 Column 505 2.999999999999971e+00 Column 506 2.999999999999972e+00 Column 507 2.999999999999972e+00 Column 508 2.999999999999972e+00 Column 509 2.999999999999972e+00 Column 510 2.999999999999972e+00 Column 511 2.999999999999972e+00 Column 512 2.999999999999972e+00 Column 513 2.999999999999972e+00 Column 514 2.999999999999972e+00 Column 515 2.999999999999972e+00 Column 516 2.999999999999972e+00 Column 517 2.999999999999972e+00 Column 518 2.999999999999972e+00 Column 519 2.999999999999972e+00 Column 520 2.999999999999972e+00 Column 521 2.999999999999972e+00 Column 522 2.999999999999972e+00 Column 523 2.999999999999972e+00 Column 524 2.999999999999972e+00 Column 525 2.999999999999972e+00 Column 526 2.999999999999972e+00 Column 527 2.999999999999972e+00 Column 528 2.999999999999972e+00 Column 529 2.999999999999972e+00 Column 530 2.999999999999972e+00 Column 531 2.999999999999972e+00 Column 532 2.999999999999972e+00 Column 533 2.999999999999972e+00 Column 534 2.999999999999972e+00 Column 535 2.999999999999972e+00 Column 536 2.999999999999972e+00 Column 537 2.999999999999972e+00 Column 538 2.999999999999972e+00 Column 539 2.999999999999972e+00 Column 540 2.999999999999972e+00 Column 541 2.999999999999971e+00 Column 542 2.999999999999972e+00 Column 543 2.999999999999945e+00 Column 544 2.999999999999926e+00 Column 545 2.999999999999913e+00 Column 546 2.999999999999903e+00 Column 547 2.999999999999897e+00 Column 548 2.999999999999892e+00 Column 549 2.999999999999889e+00 Column 550 2.999999999999886e+00 Column 551 2.999999999999885e+00 Column 552 2.999999999999883e+00 Column 553 2.999999999999883e+00 Column 554 2.999999999999882e+00 Column 555 2.999999999999881e+00 Column 556 2.999999999999881e+00 Column 557 2.999999999999881e+00 Column 558 2.999999999999881e+00 Column 559 2.999999999999881e+00 Column 560 2.999999999999881e+00 Column 561 2.999999999999881e+00 Column 562 2.999999999999881e+00 Column 563 2.999999999999881e+00 Column 564 2.999999999999880e+00 Column 565 2.999999999999880e+00 Column 566 2.999999999999881e+00 Column 567 2.999999999999881e+00 Column 568 2.999999999999880e+00 Column 569 2.999999999999881e+00 Column 570 2.999999999999881e+00 Column 571 2.999999999999880e+00 Column 572 2.999999999999880e+00 Column 573 2.999999999999880e+00 Column 574 2.999999999999880e+00 Column 575 2.999999999999880e+00 Column 576 2.999999999999880e+00 Column 577 2.999999999999880e+00 Column 578 2.999999999999880e+00 Column 579 2.999999999999880e+00 Column 580 2.999999999999881e+00 Column 581 2.999999999999881e+00 Column 582 2.999999999999881e+00 Column 583 2.999999999999881e+00 Column 584 2.999999999999881e+00 Column 585 2.999999999999881e+00 Column 586 2.999999999999881e+00 Column 587 2.999999999999881e+00 Column 588 2.999999999999881e+00 Column 589 2.999999999999881e+00 Column 590 2.999999999999881e+00 Column 591 2.999999999999881e+00 Column 592 2.999999999999881e+00 Column 593 2.999999999999881e+00 Column 594 2.999999999999882e+00 Column 595 2.999999999999882e+00 Column 596 2.999999999999883e+00 Column 597 2.999999999999883e+00 Column 598 2.999999999999884e+00 Column 599 2.999999999999885e+00 Column 600 2.999999999999887e+00 Column 601 2.999999999999890e+00 options.InitialStep=0.001 options = InitialStep: 1.000000000000000e-03 options.AbsTol=1e-8 options = InitialStep: 1.000000000000000e-03 AbsTol: 1.000000000000000e-08 (2)^(1/3) ans = 1.259921049894873e+00 (-2)^(1/3) ans = 6.299605249474367e-01 + 1.091123635971721e+00i nthroot(-2,3) ans = -1.259921049894873e+00 nthroot(-2,4) ??? Error using ==> nthroot at 33 If X is negative, N must be an odd integer. ese4rk23 time step rejected time step rejected time step rejected time step rejected time step rejected time step rejected time step rejected time step rejected time step rejected time step rejected help ode ode not found. Use the Help browser Search tab to search the documentation, or type "help help" for help command options, such as help for methods. help ode23 ODE23 Solve non-stiff differential equations, low order method. [TOUT,YOUT] = ODE23(ODEFUN,TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the system of differential equations y' = f(t,y) from time T0 to TFINAL with initial conditions Y0. ODEFUN is a function handle. For a scalar T and a vector Y, ODEFUN(T,Y) must return a column vector corresponding to f(t,y). Each row in the solution array YOUT corresponds to a time returned in the column vector TOUT. To obtain solutions at specific times T0,T1,...,TFINAL (all increasing or all decreasing), use TSPAN = [T0 T1 ... TFINAL]. [TOUT,YOUT] = ODE23(ODEFUN,TSPAN,Y0,OPTIONS) solves as above with default integration properties replaced by values in OPTIONS, an argument created with the ODESET function. See ODESET for details. Commonly used options are scalar relative error tolerance 'RelTol' (1e-3 by default) and vector of absolute error tolerances 'AbsTol' (all components 1e-6 by default). If certain components of the solution must be non-negative, use ODESET to set the 'NonNegative' property to the indices of these components. ODE23 can solve problems M(t,y)*y' = f(t,y) with mass matrix M that is nonsingular. Use ODESET to set the 'Mass' property to a function handle MASS if MASS(T,Y) returns the value of the mass matrix. If the mass matrix is constant, the matrix can be used as the value of the 'Mass' option. If the mass matrix does not depend on the state variable Y and the function MASS is to be called with one input argument T, set 'MStateDependence' to 'none'. ODE15S and ODE23T can solve problems with singular mass matrices. [TOUT,YOUT,TE,YE,IE] = ODE23(ODEFUN,TSPAN,Y0,OPTIONS) with the 'Events' property in OPTIONS set to a function handle EVENTS, solves as above while also finding where functions of (T,Y), called event functions, are zero. For each function you specify whether the integration is to terminate at a zero and whether the direction of the zero crossing matters. These are the three column vectors returned by EVENTS: [VALUE,ISTERMINAL,DIRECTION] = EVENTS(T,Y). For the I-th event function: VALUE(I) is the value of the function, ISTERMINAL(I)=1 if the integration is to terminate at a zero of this event function and 0 otherwise. DIRECTION(I)=0 if all zeros are to be computed (the default), +1 if only zeros where the event function is increasing, and -1 if only zeros where the event function is decreasing. Output TE is a column vector of times at which events occur. Rows of YE are the corresponding solutions, and indices in vector IE specify which event occurred. SOL = ODE23(ODEFUN,[T0 TFINAL],Y0...) returns a structure that can be used with DEVAL to evaluate the solution or its first derivative at any point between T0 and TFINAL. The steps chosen by ODE23 are returned in a row vector SOL.x. For each I, the column SOL.y(:,I) contains the solution at SOL.x(I). If events were detected, SOL.xe is a row vector of points at which events occurred. Columns of SOL.ye are the corresponding solutions, and indices in vector SOL.ie specify which event occurred. Example [t,y]=ode23(@vdp1,[0 20],[2 0]); plot(t,y(:,1)); solves the system y' = vdp1(t,y), using the default relative error tolerance 1e-3 and the default absolute tolerance of 1e-6 for each component, and plots the first component of the solution. Class support for inputs TSPAN, Y0, and the result of ODEFUN(T,Y): float: double, single See also other ODE solvers: ode45, ode113, ode15s, ode23s, ode23t, ode23tb implicit ODEs: ode15i options handling: odeset, odeget output functions: odeplot, odephas2, odephas3, odeprint evaluating solution: deval ODE examples: rigidode, ballode, orbitode function handles: function_handle NOTE: The interpretation of the first input argument of the ODE solvers and some properties available through ODESET have changed in MATLAB 6.0. Although we still support the v5 syntax, any new functionality is available only with the new syntax. To see the v5 help, type in the command line more on, type ode23, more off Reference page in Help browser doc ode23 doc ode23 opzioni opzioni = InitialStep: 1.000000000000000e-03 AbsTol: 1.000000000000000e-02 RelTol: 1.000000000000000e-02 clear opzioni opzioni=odeset('AbsTol',1e-4,'InitialStep',0.1) opzioni = AbsTol: 1.000000000000000e-04 BDF: [] Events: [] InitialStep: 1.000000000000000e-01 Jacobian: [] JConstant: [] JPattern: [] Mass: [] MassConstant: [] MassSingular: [] MaxOrder: [] MaxStep: [] NonNegative: [] NormControl: [] OutputFcn: [] OutputSel: [] Refine: [] RelTol: [] Stats: [] Vectorized: [] MStateDependence: [] MvPattern: [] InitialSlope: [] edit ode23 edit ode45 diary off