XY outliers removed

31358073-3b61-4ba8-8451-b5f74a4e9ac4 13 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

XY outliers removed

XY 0.0105 1.2996 0.012 1.4449 0.0135 1.3829 0.015 1.388 0.0165 1.3909 0.018 1.3999 0.0195 1.4002 0.021 1.3148 0.0225 1.314 0.024 1.3201 0.0255 1.324 0.027 1.3321 0.0285 1.3298 0.03 1.3369 0.0315 1.3401 0.033 1.3327 0.0345 1.2902 0.036 1.2898 0.0375 1.3026 0.039 1.3097 0.0405 1.3228 0.042 1.3153 0.0435 1.3136 0.045 1.3169 0.0465 1.3204 0.048 1.3125 0.0495 1.3172 0.051 1.3257 0.0525 1.3419 0.054 1.3575 0.0555 1.4712 0.057 1.4826 0.0585 1.3523 0.06 1.3507 0.0615 1.3557 0.063 1.3614 0.0645 1.367 0.066 1.3753 0.0675 1.3804 0.069 1.3861 0.0705 1.3878 0.072 1.3906 0.0735 1.387 0.075 1.3868 0.0765 1.3894 0.078 1.3932 0.0795 1.5259 0.081 1.5344 0.0825 1.5305 0.084 1.5036 0.0855 1.51 0.087 1.5175 0.0885 1.5251 0.09 1.5407 0.0915 1.5495 0.093 1.5505 0.0945 1.5514 0.096 1.5567 0.0975 1.5622 0.099 1.6682 0.1005 1.6765 0.102 1.6723 0.1035 1.67 0.105 1.7102 0.1065 1.7056 0.108 1.7022 0.1095 1.7064 0.111 1.7097 0.1125 1.7049 0.114 1.7065 0.1155 1.7144 0.117 1.714 0.1185 1.7295 0.12 1.633 0.1215 1.6322 0.123 1.6466 0.1245 1.6637 0.126 1.6666 0.1275 1.7383 0.129 1.7424 0.1305 1.7444 0.132 1.745 0.1335 1.7563 0.135 1.7512 0.1365 1.7482 0.138 1.7459 0.1395 1.6736 0.141 1.6705 0.1425 1.6753 0.144 1.6782 0.1455 1.671 0.147 1.6758 0.1485 1.6192 0.15 1.6307 0.1515 1.6327 0.153 1.6265 0.1545 1.6363 0.156 1.6499 0.1575 1.659 0.159 1.6698 0.1605 1.6515 0.162 1.664 0.1635 1.6654 0.165 1.6508 0.1665 1.6568 0.168 1.6518 0.1695 1.6461 0.171 1.6472 0.1725 1.6579 0.174 1.6739 0.1755 1.6794 0.177 1.6824 0.1785 1.6876 0.18 1.694 0.1815 1.7983 0.183 1.7944 0.1845 1.8006 0.186 1.8279 0.1875 1.8401 0.189 1.9241 0.1905 1.9341 0.192 1.9298 0.1935 1.9274 0.195 2.0037 0.1965 2.0011 0.198 2.0094 0.1995 2.0207 0.201 1.993 0.2025 1.9909 0.204 1.9385 0.2055 1.9484 0.207 1.9406 0.2085 1.9396 0.21 1.8747 0.2115 1.8799 0.213 1.8914 0.2145 1.896 0.216 1.829 0.2175 1.84 0.219 1.8475 0.2205 1.8396 0.222 1.8725 0.2235 1.8808 0.225 1.9547 0.2265 1.9576 0.228 1.9695 0.2295 2.0212 0.231 2.0138 0.2325 2.013 0.234 2.0246 0.2355 2.0344 0.237 2.0419 0.2385 2.0488 0.24 2.0441 0.2415 2.0505 0.243 2.0647 0.2445 2.1172 0.246 2.1101 0.2475 2.1066 0.249 2.1099 0.2505 2.0692 0.252 2.0767 0.2535 2.0857 0.255 2.0809 0.2565 2.0927 0.258 2.0952 0.2595 2.0882 0.261 2.0997 0.2625 2.1066 0.264 2.1019 0.2655 2.0506 0.267 2.0674 0.2685 2.0701 0.27 2.0808 0.2715 2.15 0.273 2.1533 0.2745 2.1631 0.276 2.1662 0.2775 2.1667 0.279 2.1747 0.2805 2.1838 0.282 2.1918 0.2835 2.2076 0.285 2.3335 0.2865 2.3508 0.288 2.3424 0.2895 2.3503 0.291 2.3432 0.2925 2.2895 0.294 2.3031 0.2955 2.3001 0.297 2.3177 0.2985 2.3223 0.3 2.3192 0.3015 2.3266 0.303 2.3339 0.3045 2.2874 0.306 2.2997 0.3075 2.2942 0.309 2.3005 0.3105 2.3086 0.312 2.3249 0.3135 2.3331 0.315 2.3429 0.3165 2.3632 0.318 2.3931 0.3195 2.4038 0.321 2.4059 0.3225 2.4074 0.324 2.3998 0.3255 2.4494 0.327 2.3291 0.3285 2.4018 0.33 2.4128 0.3315 2.4129 0.333 2.4168 0.3345 2.4143 0.336 2.4204 0.3375 2.4208 0.339 2.399 0.3405 2.3994 0.342 2.4053 0.3435 2.4068 0.345 2.4693 0.3465 2.3547 0.348 2.3567 0.3495 2.3003 0.351 2.3117 0.3525 2.3207 0.354 2.3189 0.3555 2.3349 0.357 2.3314 0.3585 2.3288 0.36 2.3287 0.3615 2.3342 0.363 2.3493 0.3645 2.4069 0.366 2.3551 0.3675 2.4845 0.369 2.4919 0.3705 2.4949 0.372 2.4895 0.3735 2.503 0.375 2.5152 0.3765 2.5072 0.378 2.4582 0.3795 2.3504 0.381 2.3492 0.3825 2.3503 0.384 2.2257 0.3855 2.2702 0.387 2.1868 0.3885 2.1939 0.39 2.201 0.3915 2.2119 0.393 2.2192 0.3945 2.2223 0.396 2.2198 0.3975 2.2303 0.399 2.2981 0.4005 2.4163 0.402 2.437 0.4035 2.4525 0.405 2.5773 0.4065 2.4932 0.408 2.587 0.4095 2.5842 0.411 2.6123 0.4125 2.6224 0.414 2.6285 0.4155 2.6315 0.417 2.6385 0.4185 2.6382 0.42 2.7596 0.4215 2.77 0.423 2.7633 0.4245 2.7599 0.426 2.7699 0.4275 2.781 0.429 2.7935 0.4305 2.8071 0.432 2.7884 0.4335 2.7434 0.435 2.7474 0.4365 2.8341 0.438 2.8451 0.4395 2.844 0.441 2.7305 0.4425 2.7395 0.444 2.741 0.4455 2.7397 0.447 2.7507 0.4485 2.7548 0.45 2.7621 0.4515 2.7544 0.453 2.7563 0.4545 2.7973 0.456 2.8054 0.4575 2.7227 0.459 2.7157 0.4605 2.7273 0.462 2.7182 0.4635 2.7093 0.465 2.7243 0.4665 2.7323 0.468 2.7257 0.4695 2.72 0.471 2.7151 0.4725 2.7302 0.474 2.733 0.4755 2.7454 0.477 2.7401 0.4785 2.7447 0.48 2.7607 0.4815 2.7707 0.483 2.7845 0.4845 2.7932 0.486 2.7846 0.4875 2.7901 0.489 2.7943 0.4905 2.8039 0.492 2.8079 0.4935 2.8023 0.495 2.8113 0.4965 2.8024 0.498 2.8113 0.4995 2.8142 0.501 2.8066 0.5025 2.7959 0.504 2.7875 0.5055 2.7808 0.507 2.6666 0.5085 2.6589 0.51 2.6597 0.5115 2.6538 0.513 2.6598 0.5145 2.6574 0.516 2.6543 0.5175 2.5377 0.519 2.5298 0.5205 2.5282 0.522 2.5243 0.5235 2.5347 0.525 2.5389 0.5265 2.5428 0.528 2.667 0.5295 2.6712 0.531 2.6735 0.5325 2.7475 0.534 2.739 0.5355 2.7461 0.537 2.7477 0.5385 2.8585 0.54 2.9151 0.5415 2.9117 0.543 2.9219 0.5445 2.9147 0.546 2.9097 0.5475 2.913 0.549 2.9079 0.5505 2.8409 0.552 2.9491 0.5535 2.8711 0.555 2.8733 0.5565 2.8612 0.558 2.8472 0.5595 2.8445 0.561 2.7961 0.5625 2.796 0.564 2.7944 0.5655 2.7882 0.567 2.7941 0.5685 2.9002 0.57 2.8908 0.5715 2.9602 0.573 2.8399 0.5745 2.8434 0.576 2.8268 0.5775 2.8249 0.579 2.8238 0.5805 2.8213 0.582 2.8144 0.5835 2.8044 0.585 2.903 0.5865 2.8962 0.588 2.8798 0.5895 2.7648 0.591 2.7557 0.5925 2.7346 0.594 2.7265 0.5955 2.714 0.597 2.8251 0.5985 2.8262 0.6 2.8166 0.6015 2.8128 0.603 2.8039 0.6045 2.8056 0.606 2.6786 0.6075 2.6681 0.609 2.5559 0.6105 2.5497 0.612 2.5447 0.6135 2.5363 0.615 2.5383 0.6165 2.5248 0.618 2.4138 0.6195 2.3931 0.621 2.3903 0.6225 2.3887 0.624 2.3664 0.6255 2.3442 0.627 2.3414 0.6285 2.3425 0.63 2.4138 0.6315 2.3986 0.633 2.3955 0.6345 2.39 0.636 2.4057 0.6375 2.3087 0.639 2.2829 0.6405 2.275 0.642 2.2677 0.6435 2.2567 0.645 2.2506 0.6465 2.3131 0.648 2.299 0.6495 2.2894 0.651 2.3019 0.6525 2.2816 0.654 2.2584 0.6555 2.2487 0.657 2.2047 0.6585 2.2926 0.66 2.2846 0.6615 2.2741 0.663 2.2611 0.6645 2.2469 0.666 2.2357 0.6675 2.1576 0.669 2.1449 0.6705 2.1331 0.672 2.1166 0.6735 2.1093 0.675 2.1259 0.6765 2.1068 0.678 2.0972 0.6795 2.073 0.681 2.0655 0.6825 2.0543 0.684 2.0367 0.6855 2.0162 0.687 2.0028 0.6885 1.9881 0.69 1.9696 0.6915 1.951 0.693 1.9349 0.6945 1.9234 0.696 1.8886 0.6975 1.8765 0.699 1.8595 0.7005 1.8415 0.702 1.8309 0.7035 1.8141 0.705 1.8015 0.7065 1.788 0.708 1.728 0.7095 1.7029 0.711 1.6492 0.7125 1.6339 0.714 1.6307 0.7155 1.6075 0.717 1.5957 0.7185 1.5886 0.72 1.5628 0.7215 1.5479 0.723 1.5225 0.7245 1.5052 0.726 1.4921 0.7275 1.5656 0.729 1.6012 0.7305 1.5871 0.732 1.6131 0.7335 1.5965 0.735 1.577 0.7365 1.5742 0.738 1.5447 0.7395 1.5332 0.741 1.5306 0.7425 1.525 0.744 1.5146 0.7455 1.497 0.747 1.4701 0.7485 1.361 0.75 1.3501 0.7515 1.3401 0.753 1.3238 0.7545 1.3091 0.756 1.2997 0.7575 1.2834 0.759 1.28 0.7605 1.2553 0.762 1.2291 0.7635 1.2233 0.765 1.2184 0.7665 1.2108 0.768 1.2058 0.7695 1.2034 0.771 1.1855 0.7725 1.1696 0.774 1.2107 0.7755 1.2385 0.777 1.2288 0.7785 1.2189 0.78 1.207 0.7815 1.2032 0.783 1.2075 0.7845 1.187 0.786 1.1638 0.7875 1.1615 0.789 1.1522 0.7905 1.142 0.792 1.1375 0.7935 1.1438 0.795 1.0856 0.7965 1.028 0.798 1.0087 0.7995 1.0057 0.801 1.0039 0.8025 0.9996 0.804 0.9798 0.8055 0.9815 0.807 0.9216 0.8085 0.9047 0.81 0.9011 0.8115 0.8958 0.813 0.8833 0.8145 0.8686 0.816 0.8103 0.8175 0.825 0.819 0.8273 0.8205 0.8173 0.822 0.808 0.8235 0.8062 0.825 0.8077 0.8265 0.8103 0.828 0.8703 0.8295 0.8736 0.831 0.8748 0.8325 0.8726 0.834 0.8409 0.8355 0.8509 0.837 0.8516 0.8385 0.8515 0.84 0.852 0.8415 0.8501 0.843 0.7781 0.8445 0.7846 0.846 0.8007 0.8475 0.7984 0.849 0.8043 0.8505 0.8138 0.852 0.9137 0.8535 0.9294 0.855 0.9657 0.8565 0.9727 0.858 1.0481 0.8595 1.0536 0.861 1.0629 0.8625 1.0724 0.864 1.1581 0.8655 1.1646 0.867 1.1747 0.8685 1.1822 0.87 1.1966 0.8715 1.2973 0.873 1.2114 0.8745 1.2126 0.876 1.2387 0.8775 1.2457 0.879 1.2638 0.8805 1.3987 0.882 1.4178 0.8835 1.442 0.885 1.458 0.8865 1.4696 0.888 1.4818 0.8895 1.5924 0.891 1.6014 0.8925 1.5292 0.894 1.5461 0.8955 1.4973 0.897 1.5112 0.8985 1.5292 0.9 1.5399 0.9015 1.3828 0.903 1.5139 0.9045 1.5356 0.906 1.5637 0.9075 1.5889 0.909 1.6068 0.9105 1.503 0.912 1.5286 0.9135 1.5523 0.915 1.5903 0.9165 1.6945 0.918 1.6575 0.9195 1.681 0.921 1.6995 0.9225 1.8914 0.924 1.8089 0.9255 1.8991 0.927 1.9132 0.9285 1.9392 0.93 1.9692 0.9315 1.9399 0.933 1.9641 0.9345 1.985 0.936 2.0018 0.9375 2.0243 0.939 2.1055 0.9405 2.1405 0.942 2.2469 0.9435 2.1637 0.945 2.1945 0.9465 2.1577 0.948 2.1827 0.9495 2.207 0.951 2.2358 0.9525 2.357 0.954 2.3837 0.9555 2.4119 0.957 2.4322 0.9585 2.4464 0.96 2.4195 0.9615 2.4456 0.963 2.3887 0.9645 2.412 0.966 2.4258 0.9675 2.4385 0.969 2.4604 0.9705 2.4746 0.972 2.4951 0.9735 2.498 0.975 2.5172 0.9765 2.5361 0.978 2.5524 0.9795 2.5779 0.981 2.6482 0.9825 2.6552 0.984 2.6713 0.9855 2.7959 0.987 2.8005 0.9885 2.8214 0.99 2.722 0.9915 2.7348 0.993 2.7035 0.9945 2.7633 0.996 2.7714 0.9975 2.7687 0.999 2.7814 1.0005 2.7553 1.002 2.7553 1.0035 2.7538 1.005 2.76 1.0065 2.6423 1.008 2.6595 1.0095 2.7849 1.011 2.9383 1.0125 2.9386 1.014 2.9714 1.0155 2.9254 1.017 2.9248 1.0185 2.9199 1.02 2.91 1.0215 2.9364 1.023 2.9378 1.0245 2.9333 1.026 2.7912 1.0275 2.7805 1.029 2.7615 1.0305 2.6142 1.032 2.5545 1.0335 2.5367 1.035 2.3908 1.0365 2.3707 1.038 2.3506 1.0395 2.3384 1.041 2.3285 1.0425 2.3033 1.044 2.2769 1.0455 2.2607 1.047 2.4875 1.0485 2.468 1.05 2.4475 1.0515 2.4331 1.053 2.4077 1.0545 2.3891 1.056 2.4903 1.0575 2.4644 1.059 2.439 1.0605 2.4119 1.062 2.3701 1.0635 2.3313 1.065 2.3097 1.0665 2.2664 1.068 2.1172 1.0695 2.0939 1.071 2.0577 1.0725 2.0157 1.074 1.9926 1.0755 1.9487 1.077 1.9166 1.0785 1.7517 1.08 1.715 1.0815 1.6785 1.083 1.6451 1.0845 1.6262 1.086 1.6713 1.0875 1.6442 1.089 1.6133 1.0905 1.5729 1.092 1.5452 1.0935 1.5062 1.095 1.4639 1.0965 1.4431 1.098 1.4059 1.0995 1.5054 1.101 1.4711 1.1025 1.4431 1.104 1.4225 1.1055 1.3784 1.107 1.2555 1.1085 1.2352 1.11 1.2057 1.1115 1.171 1.113 1.1339 1.1145 1.1105 1.116 1.0922 1.1175 1.0653 1.119 1.026 1.1205 1.0119 1.122 1.0037 1.1235 0.9888 1.125 0.9749 1.1265 0.9821 1.128 0.9734 1.1295 0.9652 1.131 0.962 1.1325 0.9598 1.134 0.9629 1.1355 0.9595 1.137 0.9515 1.1385 0.9581 1.14 0.9841 1.1415 0.9785 1.143 0.9775 1.1445 0.9758 1.146 0.9828 1.1475 0.9721 1.149 0.9914 1.1505 0.9905 1.152 0.9989 1.1535 1.0074 1.155 1.0219 1.1565 1.0481 1.158 1.0679 1.1595 1.0832 1.161 1.1087 1.1625 1.1391 1.164 1.1522 1.1655 1.1795 1.167 1.2021 1.1685 1.2326 1.17 1.262 1.1715 1.2921 1.173 1.3258 1.1745 1.3401 1.176 1.3685 1.1775 1.5064 1.179 1.5518 1.1805 1.5823 1.182 1.6151 1.1835 1.6625 1.185 1.7548 1.1865 1.8035 1.188 1.8514 1.1895 1.9466 1.191 1.8678 1.1925 1.9145 1.194 1.9523 1.1955 2.0303 1.197 2.0728 1.1985 2.0068 1.2 2.0509 1.2015 2.0971 1.203 2.1485 1.2045 2.1889 1.206 2.1796 1.2075 2.2125 1.209 2.2394 1.2105 2.2313 1.212 2.3812 1.2135 2.4172 1.215 2.4479 1.2165 2.4739 1.218 2.5132 1.2195 2.5548 1.221 2.577 1.2225 2.6049 1.224 2.623 1.2255 2.6383 1.227 2.6606 1.2285 2.6784 1.23 2.7021 1.2315 2.7181 1.233 2.7421 1.2345 2.7574 1.236 2.7668 1.2375 2.7801 1.239 2.7857 1.2405 2.773 1.242 2.774 1.2435 2.7688 1.245 2.7568 1.2465 2.7467 1.248 2.7355 1.2495 2.6118 1.251 2.594 1.2525 2.4813 1.254 2.4475 1.2555 2.424 1.257 2.3978 1.2585 2.3681 1.26 2.3344 1.2615 2.3155 1.263 2.2884 1.2645 2.257 1.266 2.2284 1.2675 2.1865 1.269 2.1431 1.2705 2.2061 1.272 2.1386 1.2735 2.1859 1.275 2.1478 1.2765 2.1007 1.278 2.0594 1.2795 2.0087 1.281 1.9567 1.2825 1.9046 1.284 1.8445 1.2855 1.7831 1.287 1.7282 1.2885 1.6715 1.29 1.729 1.2915 1.6791 1.293 1.6436 1.2945 1.5952 1.296 1.5358 1.2975 1.486 1.299 1.4331 1.3005 1.3766 1.302 1.331 1.3035 1.291 1.305 1.2504 1.3065 1.3179 1.308 1.2777 1.3095 1.2505 1.311 1.1235 1.3125 1.0527 1.314 1.042 1.3155 1.0269 1.317 1.0244 1.3185 1.0163 1.32 1.0179 1.3215 1.0231 1.323 1.0237 1.3245 1.0239 1.326 1.0371 1.3275 0.8375 1.329 0.8594 1.3305 0.8784 1.332 0.905 1.3335 0.9865 1.335 1.0178 1.3365 1.0509 1.338 1.0734 1.3395 1.1007 1.341 1.1348 1.3425 1.1759 1.344 1.2313 1.3455 1.2722 1.347 1.3287 1.3485 1.4908 1.35 1.5375 1.3515 1.5912 1.353 1.6488 1.3545 1.7129 1.356 1.7676 1.3575 1.8137 1.359 1.8859 1.3605 1.9548 1.362 2.0215 1.3635 2.0896 1.365 2.1399 1.3665 2.299 1.368 2.3492 1.3695 2.4164 1.371 2.3644 1.3725 2.4305 1.374 2.4794 1.3755 2.5183 1.377 2.5554 1.3785 2.6064 1.38 2.5819 1.3815 2.6045 1.383 2.6242 1.3845 2.6433 1.386 2.7613 1.3875 2.6275 1.389 2.6423 1.3905 2.6335 1.392 2.7516 1.3935 2.7372 1.395 2.7282 1.3965 2.7151 1.398 2.693 1.3995 2.6657 1.401 2.6975 1.4025 2.6764 1.404 2.6484 1.4055 2.5147 1.407 2.3683 1.4085 2.3727 1.41 2.3183 1.4115 2.2616 1.413 2.2037 1.4145 2.1366 1.416 2.0646 1.4175 1.9941 1.419 2.0399 1.4205 1.9631 1.422 1.8956 1.4235 1.8199 1.425 1.7466 1.4265 1.7638 1.428 1.7092 1.4295 1.6353 1.431 1.5624 1.4325 1.5 1.434 1.4385 1.4355 1.3852 1.437 1.3404 1.4385 1.2906 1.44 1.137 1.4415 1.1052 1.443 1.0686 1.4445 1.0339 1.446 1.0737 1.4475 1.0612 1.449 1.0419 1.4505 1.0486 1.452 1.049 1.4535 1.0629 1.455 1.0639 1.4565 1.0867 1.458 1.1022 1.4595 1.1397 1.461 1.1724 1.4625 1.3181 1.464 1.3549 1.4655 1.4078 1.467 1.3944 1.4685 1.3855 1.47 1.4542 1.4715 1.5188 1.473 1.5907 1.4745 1.6625 1.476 1.7458 1.4775 1.8244 1.479 1.9062 1.4805 1.9878 1.482 2.0693 1.4835 2.0416 1.485 2.1292 1.4865 2.207 1.488 2.1969 9862 mat :

ksmooth # plotG

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

σ 0.3708158988058244 :

The Gaussian ksmooth

d K 12 π * sqrt σ * / d 2^2 σ 2^* / - exp * :

Smath recognises the silent 'bw', something
like the Mathcad "global definition". j X Y Ksmooth X i el X j el - bw / K Y i el * (i 1 X rows sum X i el X j el - bw / K (i 1 X rows sum / :

Gaussian Ksmooth Kernel

x K

X Y bw 13 mat

W j 1 X rows range s j el j X Y Ksmooth eval : for s 21 line :

W 11 mat

mvgavg

Y w medsmooth n Y rows : w must be odd m w 1 - 2 / : i 1 n 1 - (range mvgavg i el Y j el j 12 i * sum 2 i * 2 + / i m < Y j el j 2 i * n - n sum 2 n i - (* / i n m - > Y j el j i m - 1 + i m + sum w / cases eval : for mvgavg 51 line :

Decimate(data,n)

data n Decimate collect every 'n' pairs range 1 data rows n range : k 1 : i range u k el data i 1 el : v k el data i 2 el : k k 1 + : 31 line for u v augment 31 line 31 line :

LSQ Program

adapted from Robert ... courtesy to Mathsoft & Mathsoft Collaboratory xknot x poly_order fM0 n x rows : M n poly_order xknot rows 1 - (* 1 + el 0 : cell 1 : offset 0 : i 1 n range x i el xknot cell el > cell cell 1 + : offset cell 1 - (poly_order * : 21 line if j 1 poly_order 1 + (range xscaled adds stability to LSQ x.scaled x i el xknot cell 1 - el - xknot cell el xknot cell 1 - el - / : M i j offset + poly_order - el x.scaled j 1 -^: 31 line for 21 line for M 61 line :

Part 1: Primary fit on LSQ knots

XY XY 4 Decimate : x XY 1 col : y XY 2 col : 31 line

poly_order 5 :

xknot 0 0.67 0.986 1.176 1.34 1.5 16 mat :

M0 xknot x poly_order fM0 : c M0 transpose M0 * (1 -^M0 transpose * y * : y0.fit M0 c * : LSQ x y0.fit augment : 41 sys

CWD C:\SmathFile CurrentDirectory :

disable after collection LSQ CWD LSQ wfile 1

chirpLSQ CWD LSQ rfile :

C:\

file repository

split

split xknot 2 el 50 xknot 2 el 50 - 22 mat xknot 3 el 50 xknot 3 el 50 - 22 mat xknot 4 el 50 xknot 4 el 50 - 22 mat xknot 5 el 50 xknot 5 el 50 - 22 mat xknot 6 el 50 xknot 6 el 50 - 22 mat 51 sys :

LSQ pre-smooth ... from experimental decimation.

LSQ split 2 1 sys

Original chirp after removing "outliers"

XY split 2 1 sys

Explain LSQ

1. LSQ constructs the tridiagonal cell system.

2. Each cell is row populated by the ranged 'x'

... 'x' values bounded between xknot .

3. Each cell is cols = poly_order.

-------------Expand M0 => observe -----------

4. "chirp" is a typical application.

5. LSQ belongs to the Smath tool box.

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In this application, once fitted, supplementary

techniques may be applied to re-smooth the

junctions ... RemToDo ....

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Part 2: re-fit smooth Derivative knots junction