ksmooth # plotG

567c703e-fa20-434a-a368-979d26020906 8 4 5 decimal

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

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

chirpLSQ

chirpLSQ 0.012 1.236 0.0135 1.2432 0.015 1.2504 0.0165 1.2576 0.018 1.2646 0.0195 1.2716 0.021 1.2785 0.0225 1.2854 0.024 1.2922 0.0255 1.2989 0.027 1.3056 0.0285 1.3122 0.03 1.3188 0.0315 1.3252 0.033 1.3317 0.0345 1.338 0.036 1.3444 0.0375 1.3506 0.039 1.3568 0.0405 1.363 0.042 1.3691 0.0435 1.3751 0.045 1.3812 0.0465 1.3871 0.048 1.393 0.0495 1.3989 0.051 1.4047 0.0525 1.4105 0.054 1.4162 0.0555 1.4219 0.057 1.4275 0.0585 1.4331 0.06 1.4387 0.0615 1.4442 0.063 1.4497 0.0645 1.4551 0.066 1.4605 0.0675 1.4659 0.069 1.4712 0.0705 1.4765 0.072 1.4818 0.0735 1.4871 0.075 1.4923 0.0765 1.4974 0.078 1.5026 0.0795 1.5077 0.081 1.5128 0.0825 1.5179 0.084 1.5229 0.0855 1.5279 0.087 1.5329 0.0885 1.5379 0.09 1.5428 0.0915 1.5477 0.093 1.5526 0.0945 1.5575 0.096 1.5623 0.0975 1.5671 0.099 1.572 0.1005 1.5768 0.102 1.5815 0.1035 1.5863 0.105 1.591 0.1065 1.5957 0.108 1.6005 0.1095 1.6052 0.111 1.6098 0.1125 1.6145 0.114 1.6192 0.1155 1.6238 0.117 1.6284 0.1185 1.6331 0.12 1.6377 0.1215 1.6423 0.123 1.6469 0.1245 1.6514 0.126 1.656 0.1275 1.6606 0.129 1.6651 0.1305 1.6697 0.132 1.6742 0.1335 1.6788 0.135 1.6833 0.1365 1.6879 0.138 1.6924 0.1395 1.6969 0.141 1.7014 0.1425 1.706 0.144 1.7105 0.1455 1.715 0.147 1.7195 0.1485 1.724 0.15 1.7285 0.1515 1.733 0.153 1.7376 0.1545 1.7421 0.156 1.7466 0.1575 1.7511 0.159 1.7556 0.1605 1.7602 0.162 1.7647 0.1635 1.7692 0.165 1.7737 0.1665 1.7783 0.168 1.7828 0.1695 1.7874 0.171 1.7919 0.1725 1.7965 0.174 1.801 0.1755 1.8056 0.177 1.8102 0.1785 1.8147 0.18 1.8193 0.1815 1.8239 0.183 1.8285 0.1845 1.8331 0.186 1.8377 0.1875 1.8424 0.189 1.847 0.1905 1.8516 0.192 1.8563 0.1935 1.8609 0.195 1.8656 0.1965 1.8703 0.198 1.875 0.1995 1.8796 0.201 1.8843 0.2025 1.8891 0.204 1.8938 0.2055 1.8985 0.207 1.9033 0.2085 1.908 0.21 1.9128 0.2115 1.9175 0.213 1.9223 0.2145 1.9271 0.216 1.9319 0.2175 1.9367 0.219 1.9416 0.2205 1.9464 0.222 1.9513 0.2235 1.9561 0.225 1.961 0.2265 1.9659 0.228 1.9708 0.2295 1.9757 0.231 1.9806 0.2325 1.9855 0.234 1.9905 0.2355 1.9954 0.237 2.0004 0.2385 2.0054 0.24 2.0104 0.2415 2.0154 0.243 2.0204 0.2445 2.0254 0.246 2.0304 0.2475 2.0355 0.249 2.0405 0.2505 2.0456 0.252 2.0507 0.2535 2.0558 0.255 2.0609 0.2565 2.066 0.258 2.0711 0.2595 2.0762 0.261 2.0814 0.2625 2.0865 0.264 2.0917 0.2655 2.0969 0.267 2.102 0.2685 2.1072 0.27 2.1125 0.2715 2.1177 0.273 2.1229 0.2745 2.1281 0.276 2.1334 0.2775 2.1386 0.279 2.1439 0.2805 2.1491 0.282 2.1544 0.2835 2.1597 0.285 2.165 0.2865 2.1703 0.288 2.1756 0.2895 2.1809 0.291 2.1863 0.2925 2.1916 0.294 2.1969 0.2955 2.2023 0.297 2.2076 0.2985 2.213 0.3 2.2183 0.3015 2.2237 0.303 2.2291 0.3045 2.2344 0.306 2.2398 0.3075 2.2452 0.309 2.2506 0.3105 2.256 0.312 2.2614 0.3135 2.2668 0.315 2.2722 0.3165 2.2776 0.318 2.283 0.3195 2.2884 0.321 2.2938 0.3225 2.2992 0.324 2.3046 0.3255 2.31 0.327 2.3154 0.3285 2.3208 0.33 2.3262 0.3315 2.3316 0.333 2.337 0.3345 2.3424 0.336 2.3478 0.3375 2.3532 0.339 2.3586 0.3405 2.364 0.342 2.3694 0.3435 2.3747 0.345 2.3801 0.3465 2.3855 0.348 2.3908 0.3495 2.3962 0.351 2.4015 0.3525 2.4068 0.354 2.4122 0.3555 2.4175 0.357 2.4228 0.3585 2.4281 0.36 2.4334 0.3615 2.4386 0.363 2.4439 0.3645 2.4491 0.366 2.4544 0.3675 2.4596 0.369 2.4648 0.3705 2.47 0.372 2.4752 0.3735 2.4804 0.375 2.4855 0.3765 2.4906 0.378 2.4958 0.3795 2.5009 0.381 2.5059 0.3825 2.511 0.384 2.516 0.3855 2.5211 0.387 2.5261 0.3885 2.531 0.39 2.536 0.3915 2.5409 0.393 2.5458 0.3945 2.5507 0.396 2.5556 0.3975 2.5604 0.399 2.5652 0.4005 2.57 0.402 2.5748 0.4035 2.5795 0.405 2.5842 0.4065 2.5889 0.408 2.5935 0.4095 2.5981 0.411 2.6027 0.4125 2.6073 0.414 2.6118 0.4155 2.6163 0.417 2.6207 0.4185 2.6251 0.42 2.6295 0.4215 2.6339 0.423 2.6382 0.4245 2.6424 0.426 2.6467 0.4275 2.6508 0.429 2.655 0.4305 2.6591 0.432 2.6632 0.4335 2.6672 0.435 2.6712 0.4365 2.6751 0.438 2.679 0.4395 2.6828 0.441 2.6866 0.4425 2.6904 0.444 2.6941 0.4455 2.6978 0.447 2.7014 0.4485 2.7049 0.45 2.7084 0.4515 2.7119 0.453 2.7153 0.4545 2.7186 0.456 2.7219 0.4575 2.7251 0.459 2.7283 0.4605 2.7314 0.462 2.7345 0.4635 2.7375 0.465 2.7405 0.4665 2.7433 0.468 2.7462 0.4695 2.7489 0.471 2.7516 0.4725 2.7543 0.474 2.7568 0.4755 2.7593 0.477 2.7618 0.4785 2.7641 0.48 2.7664 0.4815 2.7687 0.483 2.7708 0.4845 2.7729 0.486 2.7749 0.4875 2.7769 0.489 2.7787 0.4905 2.7805 0.492 2.7822 0.4935 2.7839 0.495 2.7854 0.4965 2.7869 0.498 2.7883 0.4995 2.7896 0.501 2.7909 0.5025 2.792 0.504 2.7931 0.5055 2.7941 0.507 2.795 0.5085 2.7958 0.51 2.7965 0.5115 2.7971 0.513 2.7977 0.5145 2.7981 0.516 2.7985 0.5175 2.7987 0.519 2.7989 0.5205 2.799 0.522 2.799 0.5235 2.7989 0.525 2.7986 0.5265 2.7983 0.528 2.7979 0.5295 2.7974 0.531 2.7968 0.5325 2.796 0.534 2.7952 0.5355 2.7943 0.537 2.7932 0.5385 2.7921 0.54 2.7908 0.5415 2.7895 0.543 2.788 0.5445 2.7864 0.546 2.7847 0.5475 2.7829 0.549 2.7809 0.5505 2.7789 0.552 2.7767 0.5535 2.7744 0.555 2.772 0.5565 2.7695 0.558 2.7668 0.5595 2.764 0.561 2.7611 0.5625 2.7581 0.564 2.755 0.5655 2.7517 0.567 2.7483 0.5685 2.7447 0.57 2.741 0.5715 2.7372 0.573 2.7333 0.5745 2.7292 0.576 2.725 0.5775 2.7206 0.579 2.7162 0.5805 2.7115 0.582 2.7068 0.5835 2.7018 0.585 2.6968 0.5865 2.6916 0.588 2.6862 0.5895 2.6807 0.591 2.6751 0.5925 2.6693 0.594 2.6634 0.5955 2.6573 0.597 2.651 0.5985 2.6446 0.6 2.6381 0.6015 2.6313 0.603 2.6245 0.6045 2.6174 0.606 2.6103 0.6075 2.6029 0.609 2.5954 0.6105 2.5877 0.612 2.5798 0.6135 2.5718 0.615 2.5637 0.6165 2.5553 0.618 2.5468 0.6195 2.5381 0.621 2.5292 0.6225 2.5202 0.624 2.511 0.6255 2.5016 0.627 2.492 0.6285 2.4822 0.63 2.4723 0.6315 2.4622 0.633 2.4519 0.6345 2.4414 0.636 2.4307 0.6375 2.4199 0.639 2.4088 0.6405 2.3976 0.642 2.3862 0.6435 2.3746 0.645 2.3627 0.6465 2.3507 0.648 2.3385 0.6495 2.3261 0.651 2.3135 0.6525 2.3007 0.654 2.2877 0.6555 2.2745 0.657 2.2611 0.6585 2.2475 0.66 2.2336 0.6615 2.2196 0.663 2.2054 0.6645 2.1909 0.666 2.1762 0.6675 2.1614 0.669 2.1463 0.6705 2.0499 0.672 2.048 0.6735 2.0453 0.675 2.0418 0.6765 2.0376 0.678 2.0327 0.6795 2.0271 0.681 2.0207 0.6825 2.0138 0.684 2.0062 0.6855 1.998 0.687 1.9892 0.6885 1.9798 0.69 1.9699 0.6915 1.9595 0.693 1.9486 0.6945 1.9372 0.696 1.9254 0.6975 1.9131 0.699 1.9004 0.7005 1.8874 0.702 1.8739 0.7035 1.8602 0.705 1.846 0.7065 1.8316 0.708 1.8169 0.7095 1.8019 0.711 1.7866 0.7125 1.7712 0.714 1.7555 0.7155 1.7395 0.717 1.7235 0.7185 1.7072 0.72 1.6908 0.7215 1.6743 0.723 1.6576 0.7245 1.6409 0.726 1.6241 0.7275 1.6072 0.729 1.5902 0.7305 1.5732 0.732 1.5562 0.7335 1.5392 0.735 1.5222 0.7365 1.5052 0.738 1.4883 0.7395 1.4714 0.741 1.4545 0.7425 1.4378 0.744 1.4211 0.7455 1.4046 0.747 1.3881 0.7485 1.3718 0.75 1.3556 0.7515 1.3396 0.753 1.3237 0.7545 1.308 0.756 1.2925 0.7575 1.2772 0.759 1.2621 0.7605 1.2472 0.762 1.2325 0.7635 1.2181 0.765 1.2039 0.7665 1.19 0.768 1.1763 0.7695 1.1629 0.771 1.1498 0.7725 1.137 0.774 1.1244 0.7755 1.1122 0.777 1.1003 0.7785 1.0888 0.78 1.0775 0.7815 1.0666 0.783 1.056 0.7845 1.0458 0.786 1.036 0.7875 1.0265 0.789 1.0173 0.7905 1.0086 0.792 1.0002 0.7935 0.9922 0.795 0.9846 0.7965 0.9774 0.798 0.9706 0.7995 0.9642 0.801 0.9582 0.8025 0.9526 0.804 0.9475 0.8055 0.9427 0.807 0.9384 0.8085 0.9345 0.81 0.931 0.8115 0.928 0.813 0.9254 0.8145 0.9232 0.816 0.9215 0.8175 0.9202 0.819 0.9194 0.8205 0.919 0.822 0.919 0.8235 0.9195 0.825 0.9205 0.8265 0.9218 0.828 0.9237 0.8295 0.9259 0.831 0.9287 0.8325 0.9318 0.834 0.9355 0.8355 0.9395 0.837 0.944 0.8385 0.949 0.84 0.9544 0.8415 0.9602 0.843 0.9665 0.8445 0.9732 0.846 0.9804 0.8475 0.988 0.849 0.996 0.8505 1.0045 0.852 1.0134 0.8535 1.0227 0.855 1.0324 0.8565 1.0426 0.858 1.0531 0.8595 1.0641 0.861 1.0755 0.8625 1.0872 0.864 1.0994 0.8655 1.112 0.867 1.125 0.8685 1.1383 0.87 1.152 0.8715 1.1661 0.873 1.1806 0.8745 1.1954 0.876 1.2106 0.8775 1.2262 0.879 1.2421 0.8805 1.2583 0.882 1.2749 0.8835 1.2918 0.885 1.309 0.8865 1.3265 0.888 1.3443 0.8895 1.3625 0.891 1.3809 0.8925 1.3996 0.894 1.4186 0.8955 1.4378 0.897 1.4573 0.8985 1.4771 0.9 1.4971 0.9015 1.5173 0.903 1.5378 0.9045 1.5585 0.906 1.5794 0.9075 1.6005 0.909 1.6218 0.9105 1.6432 0.912 1.6648 0.9135 1.6866 0.915 1.7086 0.9165 1.7307 0.918 1.7529 0.9195 1.7752 0.921 1.7976 0.9225 1.8202 0.924 1.8428 0.9255 1.8655 0.927 1.8883 0.9285 1.9111 0.93 1.9339 0.9315 1.9568 0.933 1.9797 0.9345 2.0026 0.936 2.0256 0.9375 2.0484 0.939 2.0713 0.9405 2.0941 0.942 2.1169 0.9435 2.1395 0.945 2.1621 0.9465 2.1846 0.948 2.207 0.9495 2.2293 0.951 2.2514 0.9525 2.2734 0.954 2.2953 0.9555 2.3169 0.957 2.3383 0.9585 2.3596 0.96 2.3806 0.9615 2.4014 0.963 2.4219 0.9645 2.4422 0.966 2.4622 0.9675 2.4819 0.969 2.5013 0.9705 2.5204 0.972 2.5391 0.9735 2.5574 0.975 2.5754 0.9765 2.593 0.978 2.6102 0.9795 2.627 0.981 2.6434 0.9825 2.6593 0.984 2.6747 0.9855 2.6896 0.987 2.7003 0.9885 2.7186 0.99 2.7353 0.9915 2.7505 0.993 2.7642 0.9945 2.7764 0.996 2.7872 0.9975 2.7967 0.999 2.8047 1.0005 2.8113 1.002 2.8166 1.0035 2.8206 1.005 2.8232 1.0065 2.8246 1.008 2.8248 1.0095 2.8237 1.011 2.8213 1.0125 2.8178 1.014 2.8132 1.0155 2.8074 1.017 2.8004 1.0185 2.7924 1.02 2.7833 1.0215 2.7731 1.023 2.762 1.0245 2.7498 1.026 2.7366 1.0275 2.7225 1.029 2.7074 1.0305 2.6914 1.032 2.6746 1.0335 2.6569 1.035 2.6383 1.0365 2.6189 1.038 2.5988 1.0395 2.5779 1.041 2.5562 1.0425 2.5338 1.044 2.5108 1.0455 2.487 1.047 2.4627 1.0485 2.4377 1.05 2.4121 1.0515 2.386 1.053 2.3593 1.0545 2.3322 1.056 2.3045 1.0575 2.2764 1.059 2.2479 1.0605 2.219 1.062 2.1897 1.0635 2.16 1.065 2.1301 1.0665 2.0998 1.068 2.0693 1.0695 2.0386 1.071 2.0076 1.0725 1.9765 1.074 1.9452 1.0755 1.9139 1.077 1.8824 1.0785 1.8509 1.08 1.8194 1.0815 1.7879 1.083 1.7564 1.0845 1.725 1.086 1.6937 1.0875 1.6626 1.089 1.6316 1.0905 1.6008 1.092 1.5702 1.0935 1.54 1.095 1.51 1.0965 1.4804 1.098 1.4511 1.0995 1.4222 1.101 1.3938 1.1025 1.3659 1.104 1.3385 1.1055 1.3116 1.107 1.2854 1.1085 1.2597 1.11 1.2347 1.1115 1.2105 1.113 1.1869 1.1145 1.1642 1.116 1.1423 1.1175 1.1212 1.119 1.101 1.1205 1.0818 1.122 1.0635 1.1235 1.0463 1.125 1.0302 1.1265 1.0151 1.128 1.0012 1.1295 0.9885 1.131 0.9771 1.1325 0.9669 1.134 0.9581 1.1355 0.9506 1.137 0.9445 1.1385 0.94 1.14 0.9369 1.1415 0.9354 1.143 0.9355 1.1445 0.9373 1.146 0.9407 1.1475 0.9459 1.149 0.953 1.1505 0.9619 1.152 0.9727 1.1535 0.9854 1.155 1.0002 1.1565 1.0171 1.158 1.036 1.1595 1.0572 1.161 1.0805 1.1625 1.1062 1.164 1.1341 1.1655 1.1645 1.167 1.1974 1.1685 1.2327 1.17 1.2706 1.1715 1.3112 1.173 1.3544 1.1745 1.4004 1.176 1.4492 1.1775 1.4882 1.179 1.5316 1.1805 1.5754 1.182 1.6194 1.1835 1.6637 1.185 1.7079 1.1865 1.7522 1.188 1.7962 1.1895 1.8401 1.191 1.8835 1.1925 1.9265 1.194 1.969 1.1955 2.0109 1.197 2.052 1.1985 2.0924 1.2 2.1319 1.2015 2.1705 1.203 2.208 1.2045 2.2445 1.206 2.2798 1.2075 2.3138 1.209 2.3466 1.2105 2.3781 1.212 2.4081 1.2135 2.4367 1.215 2.4638 1.2165 2.4894 1.218 2.5133 1.2195 2.5356 1.221 2.5563 1.2225 2.5752 1.224 2.5924 1.2255 2.6078 1.227 2.6215 1.2285 2.6333 1.23 2.6432 1.2315 2.6514 1.233 2.6576 1.2345 2.6619 1.236 2.6644 1.2375 2.665 1.239 2.6637 1.2405 2.6604 1.242 2.6553 1.2435 2.6483 1.245 2.6394 1.2465 2.6287 1.248 2.6161 1.2495 2.6017 1.251 2.5855 1.2525 2.5676 1.254 2.5478 1.2555 2.5264 1.257 2.5033 1.2585 2.4785 1.26 2.4522 1.2615 2.4243 1.263 2.3949 1.2645 2.3641 1.266 2.3318 1.2675 2.2983 1.269 2.2634 1.2705 2.2274 1.272 2.1902 1.2735 2.152 1.275 2.1127 1.2765 2.0725 1.278 2.0316 1.2795 1.9898 1.281 1.9474 1.2825 1.9045 1.284 1.861 1.2855 1.8172 1.287 1.7731 1.2885 1.7289 1.29 1.6846 1.2915 1.6403 1.293 1.5963 1.2945 1.5525 1.296 1.5091 1.2975 1.4662 1.299 1.4241 1.3005 1.3827 1.302 1.3422 1.3035 1.3029 1.305 1.2647 1.3065 1.2279 1.308 1.1927 1.3095 1.1591 1.311 1.1273 1.3125 1.0975 1.314 1.0699 1.3155 1.0446 1.317 1.0218 1.3185 1.0016 1.32 0.9843 1.3215 0.97 1.323 0.9589 1.3245 0.9513 1.326 0.9472 1.3275 0.9469 1.329 0.9506 1.3305 0.9585 1.332 0.9708 1.3335 0.9878 1.335 1.0095 1.3365 1.0363 1.338 1.0684 1.3395 1.106 1.341 1.2105 1.3425 1.2326 1.344 1.2642 1.3455 1.3041 1.347 1.3513 1.3485 1.4048 1.35 1.4635 1.3515 1.5265 1.353 1.5929 1.3545 1.662 1.356 1.733 1.3575 1.8051 1.359 1.8776 1.3605 1.9499 1.362 2.0214 1.3635 2.0917 1.365 2.1601 1.3665 2.2262 1.368 2.2896 1.3695 2.3499 1.371 2.4068 1.3725 2.4599 1.374 2.5091 1.3755 2.554 1.377 2.5946 1.3785 2.6305 1.38 2.6616 1.3815 2.688 1.383 2.7095 1.3845 2.726 1.386 2.7375 1.3875 2.7441 1.389 2.7457 1.3905 2.7425 1.392 2.7345 1.3935 2.7219 1.395 2.7047 1.3965 2.6831 1.398 2.6572 1.3995 2.6273 1.401 2.5935 1.4025 2.556 1.404 2.5152 1.4055 2.4711 1.407 2.4242 1.4085 2.3745 1.41 2.3225 1.4115 2.2683 1.413 2.2124 1.4145 2.1549 1.416 2.0962 1.4175 2.0365 1.419 1.9763 1.4205 1.9158 1.422 1.8553 1.4235 1.7951 1.425 1.7356 1.4265 1.6771 1.428 1.6198 1.4295 1.5641 1.431 1.5102 1.4325 1.4586 1.434 1.4093 1.4355 1.3628 1.437 1.3193 1.4385 1.2789 1.44 1.2421 1.4415 1.209 1.443 1.1798 1.4445 1.1547 1.446 1.134 1.4475 1.1177 1.449 1.106 1.4505 1.099 1.452 1.0969 1.4535 1.0998 1.455 1.1076 1.4565 1.1205 1.458 1.1384 1.4595 1.1614 1.461 1.1893 1.4625 1.2222 1.464 1.2599 1.4655 1.3023 1.467 1.3492 1.4685 1.4004 1.47 1.4558 1.4715 1.515 1.473 1.5777 1.4745 1.6436 1.476 1.7124 1.4775 1.7836 1.479 1.8568 1.4805 1.9314 1.482 2.0069 1.4835 2.0828 1.485 2.1584 1.4865 2.233 1.488 2.3059 9852 mat :

t0 1 time :

chirpLSQ

region chirpLSQ 40050012 submatrix :

X region 1 col :

X 10 el X 9 el - 0.0015

Y region 2 col :

n X rows :

n 101

0.0015

bw 0.02 :

W W :

XW X W augment :

1 time t0 - 62 s *

region XW 2 1 sys

bound 0.64 0.05 0.64 0.05 - 22 mat 0.735 0.05 0.735 0.05 - 22 mat 21 sys :

X Y W - augment bound 2 1 sys

Finding the first element in a vector that exceeds a certain treshold

v tresh first j 1 : v j el abs tresh ≤ j j 1 + : while j v j el 21 mat 31 line :

1. row of the searched value
2. freaks Symbolic/Numeric/None X 0.64 first 2112812000 / 21 mat

transit result to explicit Numeric found X 0.64 first :

found 21 0.6405 21 mat

rescued otherwise X 0.64 first 11 mat 1 el 21 0.6405 21 mat

Ole ! recovers the rules X 0.64 first X 0.735 first 21 mat 21 0.6405 21 mat 85 0.7365 21 mat 21 mat

sub XW 218521 - (12 submatrix :

A B r c replace U A : i 1 B rows range j 1 B cols range U r i + c j + el B i j el : for for U 31 line :

chirpLSQ sub 2 1 sys

New chirpLSQ sub 4200 replace :

New 2 1 sys