<p> xy [sol] </p>

100db1d5-f7d6-4274-adbb-85ed0e8a050f 9 4 5 decimal

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

xy 1.7857 7.7956 105 -^* 1.8483 0.2644 1.9109 0.378 1.9735 0.4678 2.0361 0.5457 2.0988 0.6162 2.1614 0.6815 2.224 0.743 2.2866 0.8016 2.3492 0.8578 2.4118 0.9121 2.4744 0.9647 2.537 1.0159 2.5997 1.0659 2.6623 1.1149 2.7249 1.1629 2.7875 1.21 2.8501 1.2564 2.9127 1.3021 2.9753 1.3471 3.0379 1.3916 3.1006 1.4355 3.1632 1.4789 3.2258 1.5219 3.2884 1.5643 3.351 1.6064 3.4136 1.648 3.4762 1.6893 3.5388 1.7301 3.6015 1.7707 3.6641 1.8108 3.7267 1.8507 3.7893 1.8902 3.8519 1.9294 3.9145 1.9683 3.9771 2.0069 4.0397 2.0452 4.1024 2.0832 4.165 2.1209 4.2276 2.1583 4.2902 2.1955 4.3528 2.2324 4.4154 2.269 4.478 2.3053 4.5406 2.3414 4.6032 2.3772 4.6659 2.4127 4.7285 2.448 4.7911 2.483 4.8537 2.5177 4.9163 2.5522 4.9789 2.5864 5.0415 2.6203 5.1041 2.654 5.1668 2.6874 5.2294 2.7205 5.292 2.7533 5.3546 2.7859 5.4172 2.8182 5.4798 2.8502 5.5424 2.882 5.605 2.9134 5.6677 2.9446 5.7303 2.9755 5.7929 3.0061 5.8555 3.0364 5.9181 3.0664 5.9807 3.0961 6.0433 3.1255 6.1059 3.1546 6.1686 3.1834 6.2312 3.2119 6.2938 3.2401 6.3564 3.2679 6.419 3.2955 6.4816 3.3227 6.5442 3.3496 6.6068 3.3761 6.6695 3.4023 6.7321 3.4282 6.7947 3.4538 6.8573 3.4789 6.9199 3.5038 6.9825 3.5282 7.0451 3.5523 7.1077 3.5761 7.1703 3.5995 7.233 3.6225 7.2956 3.6451 7.3582 3.6673 7.4208 3.6891 7.4834 3.7106 7.546 3.7316 7.6086 3.7523 7.6712 3.7725 7.7339 3.7923 7.7965 3.8117 7.8591 3.8307 7.9217 3.8492 7.9843 3.8673 8.0469 3.8849 8.1095 3.9021 8.1721 3.9189 8.2348 3.9351 8.2974 3.9509 8.36 3.9663 8.4226 3.9811 8.4852 3.9955 8.5478 4.0093 8.6104 4.0227 8.673 4.0356 8.7357 4.0479 8.7983 4.0597 8.8609 4.071 8.9235 4.0818 8.9861 4.092 9.0487 4.1017 9.1113 4.1108 9.1739 4.1193 9.2366 4.1273 9.2992 4.1347 9.3618 4.1414 9.4244 4.1476 9.487 4.1532 9.5496 4.1582 9.6122 4.1625 9.6748 4.1662 9.7374 4.1693 9.8001 4.1717 9.8627 4.1735 9.9253 4.1745 9.9879 4.1749 10.0505 4.1746 10.1131 4.1736 10.1757 4.1719 10.2383 4.1694 10.301 4.1662 10.3636 4.1622 10.4262 4.1575 10.4888 4.152 10.5514 4.1457 10.614 4.1387 10.6766 4.1307 10.7392 4.122 10.8019 4.1124 10.8645 4.1019 10.9271 4.0906 10.9897 4.0784 11.0523 4.0652 11.1149 4.0511 11.1775 4.036 11.2401 4.02 11.3028 4.003 11.3654 3.9849 11.428 3.9658 11.4906 3.9457 11.5532 3.9244 11.6158 3.9021 11.6784 3.8786 11.741 3.8539 11.8037 3.828 11.8663 3.8008 11.9289 3.7724 11.9915 3.7426 12.0541 3.7115 12.1167 3.679 12.1793 3.6451 12.2419 3.6096 12.3045 3.5727 12.3672 3.5341 12.4298 3.4938 12.4924 3.4518 12.555 3.408 12.6176 3.3623 12.6802 3.3146 12.7428 3.2649 12.8054 3.213 12.8681 3.1588 12.9307 3.1022 12.9933 3.0431 13.0559 2.9812 13.1185 2.9164 13.1811 2.8485 13.2437 2.7773 13.3063 2.7025 13.369 2.6238 13.4316 2.5407 13.4942 2.4529 13.5568 2.3598 13.6194 2.2608 13.682 2.155 13.7446 2.0414 13.8072 1.9185 13.8699 1.7845 13.9325 1.6365 13.9951 1.4705 14.0577 1.2793 14.1203 1.0493 14.1829 0.7453 14.2455 8.411 105 -^* 2002 mat :

a 816 π * sqrt * : 351.67021

isolate a 351.67021 :

x y Φ 1 - 3 / x 2^y 2^+ sqrt * exp 2 y 2^* - x 2^+ a / * - 0.005 + :

x y XY x y / - :

x userSolve user y x y Φ vectorize y solve at : x user augment 21 line :

xlimits 1.7857 14.2455275 at

user on-line u 10 :

u userSolve 10 4.1749 12 mat

X u userSolve 11 el : Y u userSolve 12 el : 21 line

region X 0 X Y X 032 mat :

j 199 :

XY Φ region 3 1 sys

xy j row 14.1829 0.7453 12 mat

xy xy j 1 el xy j 2 el + 20 blue 1 5 mat 1.7857 0 . 14 black 1 5 mat 14.24553 0 . 14 black 1 5 mat 5 1 sys

data xy 1 j range 12 range el :

data Σ Finite differences Cumul Integration vx data 1 col : vy data 2 col : Y 1 el 0 : i 2 vx rows range Δx i el vx i el vx i 1 - el - : Y i el Y i 1 - el 12 / vy i 1 - el vy i el + (Δx i el * (* + : 21 line for vx Y augment 61 line :

data Σ

M Low High Scale High Low - (M M Min - M Max M Min - 106 -^+ / (* Low + :

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : for U 41 line :

L 20 - : H 20 : N 64 : 13 mat

U L H N xd :

V U :

Generate the symmetric square [U,V] matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

M x y Φ U V Sym :

M M 0255 Scale :

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