Shared-Use Path Level of Service Calculator
Meetings Inline Skater
| ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS |
| APRIL 2003 |
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N.ROUPHAIL |
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| MEETINGS WORKSHEET |
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Travel Time= |
14.06 |
min |
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MIN RECOM. X(MILES)= |
3.8391 |
| Qo= |
15.54 |
vph |
|
Ko= |
|
1.538614 |
veh/mile |
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| MU |
10.10 |
mph |
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No= |
|
5 |
veh |
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| SIGMA |
2.70 |
mph |
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ALPHAO= |
0.6499 |
miles |
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| U= |
12.8 |
mph |
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| X= |
3 |
miles |
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AVERAGE TOTAL MEETINGS= |
8.18 |
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PER HOUR= |
34.89 |
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STANDARD DEVIATION= |
2.86 |
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1 |
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DETERMINISTIC EQUATION= |
8.26 |
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| I=1 |
ALPHA |
V(X) |
F(VX) |
F(Vx+DX) |
F |
N MEETINGS |
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0 |
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4.615842 |
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| 1 |
0.01 |
0.042667 |
0.99990823 |
0.999902 |
0.999905 |
0.015385 |
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| 2 |
0.02 |
0.085333 |
0.99990229 |
0.999896 |
0.999899 |
0.015385 |
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| 3 |
0.03 |
0.128 |
0.99989599 |
0.999889 |
0.999893 |
0.015384 |
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| 4 |
0.04 |
0.170667 |
0.9998893 |
0.999882 |
0.999886 |
0.015384 |
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| 5 |
0.05 |
0.213333 |
0.99988222 |
0.999875 |
0.999878 |
0.015384 |
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| 6 |
0.06 |
0.256 |
0.99987471 |
0.999867 |
0.999871 |
0.015384 |
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| 7 |
0.07 |
0.298667 |
0.99986675 |
0.999858 |
0.999863 |
0.015384 |
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| 8 |
0.08 |
0.341333 |
0.99985832 |
0.999849 |
0.999854 |
0.015384 |
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| 9 |
0.09 |
0.384 |
0.9998494 |
0.99984 |
0.999845 |
0.015384 |
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| 10 |
0.1 |
0.426667 |
0.99983995 |
0.99983 |
0.999835 |
0.015384 |
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| 11 |
0.11 |
0.469333 |
0.99982994 |
0.999819 |
0.999825 |
0.015383 |
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| 12 |
0.12 |
0.512 |
0.99981936 |
0.999808 |
0.999814 |
0.015383 |
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| 13 |
0.13 |
0.554667 |
0.99980816 |
0.999796 |
0.999802 |
0.015383 |
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| 14 |
0.14 |
0.597333 |
0.99979631 |
0.999784 |
0.99979 |
0.015383 |
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| 15 |
0.15 |
0.64 |
0.99978378 |
0.999771 |
0.999777 |
0.015383 |
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| 16 |
0.16 |
0.682667 |
0.99977054 |
0.999757 |
0.999764 |
0.015383 |
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| 17 |
0.17 |
0.725333 |
0.99975654 |
0.999742 |
0.999749 |
0.015382 |
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| 18 |
0.18 |
0.768 |
0.99974175 |
0.999726 |
0.999734 |
0.015382 |
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| 19 |
0.19 |
0.810667 |
0.99972613 |
0.99971 |
0.999718 |
0.015382 |
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| 20 |
0.2 |
0.853333 |
0.99970962 |
0.999692 |
0.999701 |
0.015382 |
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| 21 |
0.21 |
0.896 |
0.9996922 |
0.999674 |
0.999683 |
0.015381 |
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| 22 |
0.22 |
0.938667 |
0.99967381 |
0.999654 |
0.999664 |
0.015381 |
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| 23 |
0.23 |
0.981333 |
0.9996544 |
0.999634 |
0.999644 |
0.015381 |
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| 24 |
0.24 |
1.024 |
0.99963392 |
0.999612 |
0.999623 |
0.01538 |
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| 25 |
0.25 |
1.066667 |
0.99961232 |
0.99959 |
0.999601 |
0.01538 |
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| 26 |
0.26 |
1.109333 |
0.99958954 |
0.999566 |
0.999578 |
0.01538 |
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| 27 |
0.27 |
1.152 |
0.99956552 |
0.99954 |
0.999553 |
0.015379 |
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| 28 |
0.28 |
1.194667 |
0.99954021 |
0.999514 |
0.999527 |
0.015379 |
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| 29 |
0.29 |
1.237333 |
0.99951353 |
0.999485 |
0.999499 |
0.015378 |
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| 30 |
0.3 |
1.28 |
0.99948543 |
0.999456 |
0.999471 |
0.015378 |
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| 31 |
0.31 |
1.322667 |
0.99945583 |
0.999425 |
0.99944 |
0.015378 |
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| 32 |
0.32 |
1.365333 |
0.99942466 |
0.999392 |
0.999408 |
0.015377 |
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| 33 |
0.33 |
1.408 |
0.99939186 |
0.999357 |
0.999375 |
0.015377 |
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| 34 |
0.34 |
1.450667 |
0.99935733 |
0.999321 |
0.999339 |
0.015376 |
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| 35 |
0.35 |
1.493333 |
0.99932099 |
0.999283 |
0.999302 |
0.015375 |
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| 36 |
0.36 |
1.536 |
0.99928278 |
0.999243 |
0.999263 |
0.015375 |
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| 37 |
0.37 |
1.578667 |
0.99924258 |
0.9992 |
0.999221 |
0.015374 |
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| 38 |
0.38 |
1.621333 |
0.99920032 |
0.999156 |
0.999178 |
0.015373 |
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| 39 |
0.39 |
1.664 |
0.99915591 |
0.999109 |
0.999133 |
0.015373 |
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| 40 |
0.4 |
1.706667 |
0.99910923 |
0.99906 |
0.999085 |
0.015372 |
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| 41 |
0.41 |
1.749333 |
0.99906019 |
0.999009 |
0.999034 |
0.015371 |
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| 42 |
0.42 |
1.792 |
0.99900868 |
0.998955 |
0.998982 |
0.01537 |
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| 43 |
0.43 |
1.834667 |
0.99895458 |
0.998898 |
0.998926 |
0.01537 |
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| 44 |
0.44 |
1.877333 |
0.9988978 |
0.998838 |
0.998868 |
0.015369 |
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| 45 |
0.45 |
1.92 |
0.9988382 |
0.998776 |
0.998807 |
0.015368 |
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| 46 |
0.46 |
1.962667 |
0.99877566 |
0.99871 |
0.998743 |
0.015367 |
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| 47 |
0.47 |
2.005333 |
0.99871006 |
0.998641 |
0.998676 |
0.015366 |
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| 48 |
0.48 |
2.048 |
0.99864125 |
0.998569 |
0.998605 |
0.015365 |
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| 49 |
0.49 |
2.090667 |
0.99856911 |
0.998493 |
0.998531 |
0.015364 |
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| 50 |
0.5 |
2.133333 |
0.99849349 |
0.998414 |
0.998454 |
0.015362 |
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| 51 |
0.51 |
2.176 |
0.99841423 |
0.998331 |
0.998373 |
0.015361 |
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| 52 |
0.52 |
2.218667 |
0.9983312 |
0.998244 |
0.998288 |
0.01536 |
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| 53 |
0.53 |
2.261333 |
0.99824422 |
0.998153 |
0.998199 |
0.015358 |
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| 54 |
0.54 |
2.304 |
0.99815314 |
0.998058 |
0.998105 |
0.015357 |
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| 55 |
0.55 |
2.346667 |
0.99805778 |
0.997958 |
0.998008 |
0.015355 |
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| 56 |
0.56 |
2.389333 |
0.99795797 |
0.997854 |
0.997906 |
0.015354 |
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| 57 |
0.57 |
2.432 |
0.99785352 |
0.997744 |
0.997799 |
0.015352 |
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| 58 |
0.58 |
2.474667 |
0.99774426 |
0.99763 |
0.997687 |
0.015351 |
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| 59 |
0.59 |
2.517333 |
0.99762998 |
0.99751 |
0.99757 |
0.015349 |
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| 60 |
0.6 |
2.56 |
0.99751048 |
0.997386 |
0.997448 |
0.015347 |
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| 61 |
0.61 |
2.602667 |
0.99738557 |
0.997255 |
0.99732 |
0.015345 |
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| 62 |
0.62 |
2.645333 |
0.99725501 |
0.997119 |
0.997187 |
0.015343 |
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| 63 |
0.63 |
2.688 |
0.9971186 |
0.996976 |
0.997047 |
0.015341 |
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| 64 |
0.64 |
2.730667 |
0.99697611 |
0.996827 |
0.996902 |
0.015338 |
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| 65 |
0.65 |
2.773333 |
0.9968273 |
0.996672 |
0.99675 |
0.015336 |
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| 66 |
0.66 |
2.816 |
0.99667193 |
0.99651 |
0.996591 |
0.015334 |
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| 67 |
0.67 |
2.858667 |
0.99650975 |
0.996341 |
0.996425 |
0.015331 |
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| 68 |
0.68 |
2.901333 |
0.99634051 |
0.996164 |
0.996252 |
0.015328 |
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| 69 |
0.69 |
2.944 |
0.99616394 |
0.99598 |
0.996072 |
0.015326 |
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| 70 |
0.7 |
2.986667 |
0.99597978 |
0.995788 |
0.995884 |
0.015323 |
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| 71 |
0.71 |
3.029333 |
0.99578774 |
0.995588 |
0.995688 |
0.01532 |
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| 72 |
0.72 |
3.072 |
0.99558753 |
0.995379 |
0.995483 |
0.015317 |
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| 73 |
0.73 |
3.114667 |
0.99537887 |
0.995161 |
0.99527 |
0.015313 |
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| 74 |
0.74 |
3.157333 |
0.99516144 |
0.994935 |
0.995048 |
0.01531 |
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| 75 |
0.75 |
3.2 |
0.99493494 |
0.994699 |
0.994817 |
0.015306 |
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| 76 |
0.76 |
3.242667 |
0.99469905 |
0.994453 |
0.994576 |
0.015303 |
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| 77 |
0.77 |
3.285333 |
0.99445344 |
0.994198 |
0.994326 |
0.015299 |
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| 78 |
0.78 |
3.328 |
0.99419777 |
0.993932 |
0.994065 |
0.015295 |
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| 79 |
0.79 |
3.370667 |
0.9939317 |
0.993655 |
0.993793 |
0.015291 |
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| 80 |
0.8 |
3.413333 |
0.99365486 |
0.993367 |
0.993511 |
0.015286 |
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| 81 |
0.81 |
3.456 |
0.99336691 |
0.993067 |
0.993217 |
0.015282 |
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| 82 |
0.82 |
3.498667 |
0.99306747 |
0.992756 |
0.992912 |
0.015277 |
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| 83 |
0.83 |
3.541333 |
0.99275615 |
0.992433 |
0.992594 |
0.015272 |
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| 84 |
0.84 |
3.584 |
0.99243257 |
0.992096 |
0.992264 |
0.015267 |
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| 85 |
0.85 |
3.626667 |
0.99209633 |
0.991747 |
0.991922 |
0.015262 |
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| 86 |
0.86 |
3.669333 |
0.99174701 |
0.991384 |
0.991566 |
0.015256 |
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| 87 |
0.87 |
3.712 |
0.99138421 |
0.991007 |
0.991196 |
0.015251 |
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| 88 |
0.88 |
3.754667 |
0.99100749 |
0.990616 |
0.990812 |
0.015245 |
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| 89 |
0.89 |
3.797333 |
0.99061643 |
0.990211 |
0.990413 |
0.015239 |
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| 90 |
0.9 |
3.84 |
0.99021056 |
0.989789 |
0.99 |
0.015232 |
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| 91 |
0.91 |
3.882667 |
0.98978945 |
0.989353 |
0.989571 |
0.015226 |
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| 92 |
0.92 |
3.925333 |
0.98935262 |
0.9889 |
0.989126 |
0.015219 |
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| 93 |
0.93 |
3.968 |
0.9888996 |
0.98843 |
0.988665 |
0.015212 |
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| 94 |
0.94 |
4.010667 |
0.98842991 |
0.987943 |
0.988186 |
0.015204 |
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| 95 |
0.95 |
4.053333 |
0.98794306 |
0.987439 |
0.987691 |
0.015197 |
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| 96 |
0.96 |
4.096 |
0.98743854 |
0.986916 |
0.987177 |
0.015189 |
|
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|
|
| 97 |
0.97 |
4.138667 |
0.98691585 |
0.986374 |
0.986645 |
0.015181 |
|
|
|
|
|
| 98 |
0.98 |
4.181333 |
0.98637447 |
0.985814 |
0.986094 |
0.015172 |
|
|
|
|
|
| 99 |
0.99 |
4.224 |
0.98581386 |
0.985233 |
0.985524 |
0.015163 |
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| 100 |
1 |
4.266667 |
0.9852335 |
0.984633 |
0.984933 |
0.015154 |
|
|
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|
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| 101 |
1.01 |
4.309333 |
0.98463282 |
0.984011 |
0.984322 |
0.015145 |
|
|
|
|
|
| 102 |
1.02 |
4.352 |
0.98401129 |
0.983368 |
0.98369 |
0.015135 |
|
|
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|
|
| 103 |
1.03 |
4.394667 |
0.98336833 |
0.982703 |
0.983036 |
0.015125 |
|
|
|
|
|
| 104 |
1.04 |
4.437333 |
0.98270338 |
0.982016 |
0.98236 |
0.015115 |
|
|
|
|
|
| 105 |
1.05 |
4.48 |
0.98201584 |
0.981305 |
0.98166 |
0.015104 |
|
|
|
|
|
| 106 |
1.06 |
4.522667 |
0.98130514 |
0.980571 |
0.980938 |
0.015093 |
|
|
|
|
|
| 107 |
1.07 |
4.565333 |
0.98057067 |
0.979812 |
0.980191 |
0.015081 |
|
|
|
|
|
| 108 |
1.08 |
4.608 |
0.97981183 |
0.979028 |
0.97942 |
0.015069 |
|
|
|
|
|
| 109 |
1.09 |
4.650667 |
0.979028 |
0.978219 |
0.978623 |
0.015057 |
|
|
|
|
|
| 110 |
1.1 |
4.693333 |
0.97821858 |
0.977383 |
0.977801 |
0.015045 |
|
|
|
|
|
| 111 |
1.11 |
4.736 |
0.97738292 |
0.97652 |
0.976952 |
0.015032 |
|
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|
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| 112 |
1.12 |
4.778667 |
0.9765204 |
0.97563 |
0.976075 |
0.015018 |
|
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|
|
| 113 |
1.13 |
4.821333 |
0.97563036 |
0.974712 |
0.975171 |
0.015004 |
|
|
|
|
|
| 114 |
1.14 |
4.864 |
0.97471218 |
0.973765 |
0.974239 |
0.01499 |
|
|
|
|
|
| 115 |
1.15 |
4.906667 |
0.97376518 |
0.972789 |
0.973277 |
0.014975 |
|
|
|
|
|
| 116 |
1.16 |
4.949333 |
0.97278871 |
0.971782 |
0.972285 |
0.01496 |
|
|
|
|
|
| 117 |
1.17 |
4.992 |
0.97178211 |
0.970745 |
0.971263 |
0.014944 |
|
|
|
|
|
| 118 |
1.18 |
5.034667 |
0.97074471 |
0.969676 |
0.97021 |
0.014928 |
|
|
|
|
|
| 119 |
1.19 |
5.077333 |
0.96967582 |
0.968575 |
0.969125 |
0.014911 |
|
|
|
|
|
| 120 |
1.2 |
5.12 |
0.96857476 |
0.967441 |
0.968008 |
0.014894 |
|
|
|
|
|
| 121 |
1.21 |
5.162667 |
0.96744086 |
0.966273 |
0.966857 |
0.014876 |
|
|
|
|
|
| 122 |
1.22 |
5.205333 |
0.96627343 |
0.965072 |
0.965673 |
0.014858 |
|
|
|
|
|
| 123 |
1.23 |
5.248 |
0.96507177 |
0.963835 |
0.964453 |
0.014839 |
|
|
|
|
|
| 124 |
1.24 |
5.290667 |
0.96383518 |
0.962563 |
0.963199 |
0.01482 |
|
|
|
|
|
| 125 |
1.25 |
5.333333 |
0.96256298 |
0.961254 |
0.961909 |
0.0148 |
|
|
|
|
|
| 126 |
1.26 |
5.376 |
0.96125446 |
0.959909 |
0.960582 |
0.01478 |
|
|
|
|
|
| 127 |
1.27 |
5.418667 |
0.95990892 |
0.958526 |
0.959217 |
0.014759 |
|
|
|
|
|
| 128 |
1.28 |
5.461333 |
0.95852566 |
0.957104 |
0.957815 |
0.014737 |
|
|
|
|
|
| 129 |
1.29 |
5.504 |
0.95710398 |
0.955643 |
0.956374 |
0.014715 |
|
|
|
|
|
| 130 |
1.3 |
5.546667 |
0.95564317 |
0.954143 |
0.954893 |
0.014692 |
|
|
|
|
|
| 131 |
1.31 |
5.589333 |
0.95414254 |
0.952601 |
0.953372 |
0.014669 |
|
|
|
|
|
| 132 |
1.32 |
5.632 |
0.95260137 |
0.951019 |
0.95181 |
0.014645 |
|
|
|
|
|
| 133 |
1.33 |
5.674667 |
0.95101898 |
0.949395 |
0.950207 |
0.01462 |
|
|
|
|
|
| 134 |
1.34 |
5.717333 |
0.94939467 |
0.947728 |
0.948561 |
0.014595 |
|
|
|
|
|
| 135 |
1.35 |
5.76 |
0.94772774 |
0.946017 |
0.946873 |
0.014569 |
|
|
|
|
|
| 136 |
1.36 |
5.802667 |
0.94601749 |
0.944263 |
0.94514 |
0.014542 |
|
|
|
|
|
| 137 |
1.37 |
5.845333 |
0.94426325 |
0.942464 |
0.943364 |
0.014515 |
|
|
|
|
|
| 138 |
1.38 |
5.888 |
0.94246433 |
0.94062 |
0.941542 |
0.014487 |
|
|
|
|
|
| 139 |
1.39 |
5.930667 |
0.94062005 |
0.93873 |
0.939675 |
0.014458 |
|
|
|
|
|
| 140 |
1.4 |
5.973333 |
0.93872974 |
0.936793 |
0.937761 |
0.014429 |
|
|
|
|
|
| 141 |
1.41 |
6.016 |
0.93679274 |
0.934808 |
0.935801 |
0.014398 |
|
|
|
|
|
| 142 |
1.42 |
6.058667 |
0.93480839 |
0.932776 |
0.933792 |
0.014367 |
|
|
|
|
|
| 143 |
1.43 |
6.101333 |
0.93277603 |
0.930695 |
0.931736 |
0.014336 |
|
|
|
|
|
| 144 |
1.44 |
6.144 |
0.93069504 |
0.928565 |
0.92963 |
0.014303 |
|
|
|
|
|
| 145 |
1.45 |
6.186667 |
0.92856476 |
0.926385 |
0.927475 |
0.01427 |
|
|
|
|
|
| 146 |
1.46 |
6.229333 |
0.92638459 |
0.924154 |
0.925269 |
0.014236 |
|
|
|
|
|
| 147 |
1.47 |
6.272 |
0.92415391 |
0.921872 |
0.923013 |
0.014202 |
|
|
|
|
|
| 148 |
1.48 |
6.314667 |
0.92187212 |
0.919539 |
0.920705 |
0.014166 |
|
|
|
|
|
| 149 |
1.49 |
6.357333 |
0.91953864 |
0.917153 |
0.918346 |
0.01413 |
|
|
|
|
|
| 150 |
1.5 |
6.4 |
0.91715288 |
0.914714 |
0.915934 |
0.014093 |
|
|
|
|
|
| 151 |
1.51 |
6.442667 |
0.91471428 |
0.912222 |
0.913468 |
0.014055 |
|
|
|
|
|
| 152 |
1.52 |
6.485333 |
0.91222231 |
0.909676 |
0.910949 |
0.014016 |
|
|
|
|
|
| 153 |
1.53 |
6.528 |
0.90967641 |
0.907076 |
0.908376 |
0.013976 |
|
|
|
|
|
| 154 |
1.54 |
6.570667 |
0.90707609 |
0.904421 |
0.905748 |
0.013936 |
|
|
|
|
|
| 155 |
1.55 |
6.613333 |
0.90442083 |
0.90171 |
0.903065 |
0.013895 |
|
|
|
|
|
| 156 |
1.56 |
6.656 |
0.90171016 |
0.898944 |
0.900327 |
0.013853 |
|
|
|
|
|
| 157 |
1.57 |
6.698667 |
0.8989436 |
0.896121 |
0.897532 |
0.01381 |
|
|
|
|
|
| 158 |
1.58 |
6.741333 |
0.89612071 |
0.893241 |
0.894681 |
0.013766 |
|
|
|
|
|
| 159 |
1.59 |
6.784 |
0.89324107 |
0.890304 |
0.891773 |
0.013721 |
|
|
|
|
|
| 160 |
1.6 |
6.826667 |
0.89030426 |
0.88731 |
0.888807 |
0.013675 |
|
|
|
|
|
| 161 |
1.61 |
6.869333 |
0.88730989 |
0.884258 |
0.885784 |
0.013629 |
|
|
|
|
|
| 162 |
1.62 |
6.912 |
0.88425762 |
0.881147 |
0.882702 |
0.013581 |
|
|
|
|
|
| 163 |
1.63 |
6.954667 |
0.88114708 |
0.877978 |
0.879563 |
0.013533 |
|
|
|
|
|
| 164 |
1.64 |
6.997333 |
0.87797795 |
0.87475 |
0.876364 |
0.013484 |
|
|
|
|
|
| 165 |
1.65 |
7.04 |
0.87474995 |
0.871463 |
0.873106 |
0.013434 |
|
|
|
|
|
| 166 |
1.66 |
7.082667 |
0.8714628 |
0.868116 |
0.86979 |
0.013383 |
|
|
|
|
|
| 167 |
1.67 |
7.125333 |
0.86811625 |
0.86471 |
0.866413 |
0.013331 |
|
|
|
|
|
| 168 |
1.68 |
7.168 |
0.86471007 |
0.861244 |
0.862977 |
0.013278 |
|
|
|
|
|
| 169 |
1.69 |
7.210667 |
0.86124408 |
0.857718 |
0.859481 |
0.013224 |
|
|
|
|
|
| 170 |
1.7 |
7.253333 |
0.8577181 |
0.854132 |
0.855925 |
0.013169 |
|
|
|
|
|
| 171 |
1.71 |
7.296 |
0.85413198 |
0.850486 |
0.852309 |
0.013114 |
|
|
|
|
|
| 172 |
1.72 |
7.338667 |
0.85048562 |
0.846779 |
0.848632 |
0.013057 |
|
|
|
|
|
| 173 |
1.73 |
7.381333 |
0.84677893 |
0.843012 |
0.844895 |
0.013 |
|
|
|
|
|
| 174 |
1.74 |
7.424 |
0.84301184 |
0.839184 |
0.841098 |
0.012941 |
|
|
|
|
|
| 175 |
1.75 |
7.466667 |
0.83918433 |
0.835296 |
0.83724 |
0.012882 |
|
|
|
|
|
| 176 |
1.76 |
7.509333 |
0.83529641 |
0.831348 |
0.833322 |
0.012822 |
|
|
|
|
|
| 177 |
1.77 |
7.552 |
0.8313481 |
0.827339 |
0.829344 |
0.01276 |
|
|
|
|
|
| 178 |
1.78 |
7.594667 |
0.82733948 |
0.823271 |
0.825305 |
0.012698 |
|
|
|
|
|
| 179 |
1.79 |
7.637333 |
0.82327062 |
0.819142 |
0.821206 |
0.012635 |
|
|
|
|
|
| 180 |
1.8 |
7.68 |
0.81914166 |
0.814953 |
0.817047 |
0.012571 |
|
|
|
|
|
| 181 |
1.81 |
7.722667 |
0.81495277 |
0.810704 |
0.812828 |
0.012506 |
|
|
|
|
|
| 182 |
1.82 |
7.765333 |
0.81070412 |
0.806396 |
0.80855 |
0.01244 |
|
|
|
|
|
| 183 |
1.83 |
7.808 |
0.80639594 |
0.802028 |
0.804212 |
0.012374 |
|
|
|
|
|
| 184 |
1.84 |
7.850667 |
0.80202849 |
0.797602 |
0.799815 |
0.012306 |
|
|
|
|
|
| 185 |
1.85 |
7.893333 |
0.79760206 |
0.793117 |
0.79536 |
0.012238 |
|
|
|
|
|
| 186 |
1.86 |
7.936 |
0.79311697 |
0.788574 |
0.790845 |
0.012168 |
|
|
|
|
|
| 187 |
1.87 |
7.978667 |
0.78857358 |
0.783972 |
0.786273 |
0.012098 |
|
|
|
|
|
| 188 |
1.88 |
8.021333 |
0.78397229 |
0.779314 |
0.781643 |
0.012026 |
|
|
|
|
|
| 189 |
1.89 |
8.064 |
0.77931351 |
0.774598 |
0.776956 |
0.011954 |
|
|
|
|
|
| 190 |
1.9 |
8.106667 |
0.7745977 |
0.769825 |
0.772212 |
0.011881 |
|
|
|
|
|
| 191 |
1.91 |
8.149333 |
0.76982536 |
0.764997 |
0.767411 |
0.011807 |
|
|
|
|
|
| 192 |
1.92 |
8.192 |
0.76499703 |
0.760113 |
0.762555 |
0.011733 |
|
|
|
|
|
| 193 |
1.93 |
8.234667 |
0.76011325 |
0.755175 |
0.757644 |
0.011657 |
|
|
|
|
|
| 194 |
1.94 |
8.277333 |
0.75517463 |
0.750182 |
0.752678 |
0.011581 |
|
|
|
|
|
| 195 |
1.95 |
8.32 |
0.7501818 |
0.745135 |
0.747659 |
0.011504 |
|
|
|
|
|
| 196 |
1.96 |
8.362667 |
0.74513542 |
0.740036 |
0.742586 |
0.011426 |
|
|
|
|
|
| 197 |
1.97 |
8.405333 |
0.74003619 |
0.734885 |
0.737461 |
0.011347 |
|
|
|
|
|
| 198 |
1.98 |
8.448 |
0.73488485 |
0.729682 |
0.732284 |
0.011267 |
|
|
|
|
|
| 199 |
1.99 |
8.490667 |
0.72968217 |
0.724429 |
0.727056 |
0.011187 |
|
|
|
|
|
| 200 |
2 |
8.533333 |
0.72442893 |
0.719126 |
0.721777 |
0.011105 |
|
|
|
|
|
| 201 |
2.01 |
8.576 |
0.71912598 |
0.713774 |
0.71645 |
0.011023 |
|
|
|
|
|
| 202 |
2.02 |
8.618667 |
0.71377419 |
0.708374 |
0.711074 |
0.010941 |
|
|
|
|
|
| 203 |
2.03 |
8.661333 |
0.70837444 |
0.702928 |
0.705651 |
0.010857 |
|
|
|
|
|
| 204 |
2.04 |
8.704 |
0.70292768 |
0.697435 |
0.700181 |
0.010773 |
|
|
|
|
|
| 205 |
2.05 |
8.746667 |
0.69743486 |
0.691897 |
0.694666 |
0.010688 |
|
|
|
|
|
| 206 |
2.06 |
8.789333 |
0.69189698 |
0.686315 |
0.689106 |
0.010603 |
|
|
|
|
|
| 207 |
2.07 |
8.832 |
0.68631506 |
0.68069 |
0.683503 |
0.010516 |
|
|
|
|
|
| 208 |
2.08 |
8.874667 |
0.68069016 |
0.675023 |
0.677857 |
0.01043 |
|
|
|
|
|
| 209 |
2.09 |
8.917333 |
0.67502336 |
0.669316 |
0.67217 |
0.010342 |
|
|
|
|
|
| 210 |
2.1 |
8.96 |
0.66931578 |
0.663569 |
0.666442 |
0.010254 |
|
|
|
|
|
| 211 |
2.11 |
9.002667 |
0.66356855 |
0.657783 |
0.660676 |
0.010165 |
|
|
|
|
|
| 212 |
2.12 |
9.045333 |
0.65778285 |
0.65196 |
0.654871 |
0.010076 |
|
|
|
|
|
| 213 |
2.13 |
9.088 |
0.65195988 |
0.646101 |
0.64903 |
0.009986 |
|
|
|
|
|
| 214 |
2.14 |
9.130667 |
0.64610085 |
0.640207 |
0.643154 |
0.009896 |
|
|
|
|
|
| 215 |
2.15 |
9.173333 |
0.64020701 |
0.63428 |
0.637243 |
0.009805 |
|
|
|
|
|
| 216 |
2.16 |
9.216 |
0.63427965 |
0.62832 |
0.6313 |
0.009713 |
|
|
|
|
|
| 217 |
2.17 |
9.258667 |
0.62832005 |
0.62233 |
0.625325 |
0.009621 |
|
|
|
|
|
| 218 |
2.18 |
9.301333 |
0.62232954 |
0.616309 |
0.61932 |
0.009529 |
|
|
|
|
|
| 219 |
2.19 |
9.344 |
0.61630947 |
0.610261 |
0.613285 |
0.009436 |
|
|
|
|
|
| 220 |
2.2 |
9.386667 |
0.61026119 |
0.604186 |
0.607224 |
0.009343 |
|
|
|
|
|
| 221 |
2.21 |
9.429333 |
0.60418609 |
0.598086 |
0.601136 |
0.009249 |
|
|
|
|
|
| 222 |
2.22 |
9.472 |
0.59808557 |
0.591961 |
0.595023 |
0.009155 |
|
|
|
|
|
| 223 |
2.23 |
9.514667 |
0.59196107 |
0.585814 |
0.588888 |
0.009061 |
|
|
|
|
|
| 224 |
2.24 |
9.557333 |
0.58581401 |
0.579646 |
0.58273 |
0.008966 |
|
|
|
|
|
| 225 |
2.25 |
9.6 |
0.57964586 |
0.573458 |
0.576552 |
0.008871 |
|
|
|
|
|
| 226 |
2.26 |
9.642667 |
0.57345809 |
0.567252 |
0.570355 |
0.008776 |
|
|
|
|
|
| 227 |
2.27 |
9.685333 |
0.56725219 |
0.56103 |
0.564141 |
0.00868 |
|
|
|
|
|
| 228 |
2.28 |
9.728 |
0.56102966 |
0.554792 |
0.557911 |
0.008584 |
|
|
|
|
|
| 229 |
2.29 |
9.770667 |
0.55479201 |
0.548541 |
0.551666 |
0.008488 |
|
|
|
|
|
| 230 |
2.3 |
9.813333 |
0.54854076 |
0.542277 |
0.545409 |
0.008392 |
|
|
|
|
|
| 231 |
2.31 |
9.856 |
0.54227744 |
0.536004 |
0.539141 |
0.008295 |
|
|
|
|
|
| 232 |
2.32 |
9.898667 |
0.53600361 |
0.529721 |
0.532862 |
0.008199 |
|
|
|
|
|
| 233 |
2.33 |
9.941333 |
0.52972081 |
0.523431 |
0.526576 |
0.008102 |
|
|
|
|
|
| 234 |
2.34 |
9.984 |
0.5234306 |
0.517135 |
0.520283 |
0.008005 |
|
|
|
|
|
| 235 |
2.35 |
10.02667 |
0.51713454 |
0.510834 |
0.513984 |
0.007908 |
|
|
|
|
|
| 236 |
2.36 |
10.06933 |
0.51083419 |
0.504531 |
0.507683 |
0.007811 |
|
|
|
|
|
| 237 |
2.37 |
10.112 |
0.50453112 |
0.498227 |
0.501379 |
0.007714 |
|
|
|
|
|
| 238 |
2.38 |
10.15467 |
0.49822692 |
0.491923 |
0.495075 |
0.007617 |
|
|
|
|
|
| 239 |
2.39 |
10.19733 |
0.49192316 |
0.485621 |
0.488772 |
0.00752 |
|
|
|
|
|
| 240 |
2.4 |
10.24 |
0.48562143 |
0.479323 |
0.482472 |
0.007423 |
|
|
|
|
|
| 241 |
2.41 |
10.28267 |
0.4793233 |
0.47303 |
0.476177 |
0.007327 |
|
|
|
|
|
| 242 |
2.42 |
10.32533 |
0.47303034 |
0.466744 |
0.469887 |
0.00723 |
|
|
|
|
|
| 243 |
2.43 |
10.368 |
0.4667441 |
0.460466 |
0.463605 |
0.007133 |
|
|
|
|
|
| 244 |
2.44 |
10.41067 |
0.46046615 |
0.454198 |
0.457332 |
0.007037 |
|
|
|
|
|
| 245 |
2.45 |
10.45333 |
0.45419805 |
0.447941 |
0.45107 |
0.00694 |
|
|
|
|
|
| 246 |
2.46 |
10.496 |
0.44794133 |
0.441698 |
0.444819 |
0.006844 |
|
|
|
|
|
| 247 |
2.47 |
10.53867 |
0.44169754 |
0.435468 |
0.438583 |
0.006748 |
|
|
|
|
|
| 248 |
2.48 |
10.58133 |
0.43546821 |
0.429255 |
0.432362 |
0.006652 |
|
|
|
|
|
| 249 |
2.49 |
10.624 |
0.42925484 |
0.423059 |
0.426157 |
0.006557 |
|
|
|
|
|
| 250 |
2.5 |
10.66667 |
0.42305896 |
0.416882 |
0.419971 |
0.006462 |
|
|
|
|
|
| 251 |
2.51 |
10.70933 |
0.41688204 |
0.410726 |
0.413804 |
0.006367 |
|
|
|
|
|
| 252 |
2.52 |
10.752 |
0.41072558 |
0.404591 |
0.407658 |
0.006272 |
|
|
|
|
|
| 253 |
2.53 |
10.79467 |
0.40459103 |
0.39848 |
0.401535 |
0.006178 |
|
|
|
|
|
| 254 |
2.54 |
10.83733 |
0.39847985 |
0.392393 |
0.395437 |
0.006084 |
|
|
|
|
|
| 255 |
2.55 |
10.88 |
0.39239345 |
0.386333 |
0.389363 |
0.005991 |
|
|
|
|
|
| 256 |
2.56 |
10.92267 |
0.38633327 |
0.380301 |
0.383317 |
0.005898 |
|
|
|
|
|
| 257 |
2.57 |
10.96533 |
0.38030068 |
0.374297 |
0.377299 |
0.005805 |
|
|
|
|
|
| 258 |
2.58 |
11.008 |
0.37429707 |
0.368324 |
0.37131 |
0.005713 |
|
|
|
|
|
| 259 |
2.59 |
11.05067 |
0.36832378 |
0.362382 |
0.365353 |
0.005621 |
|
|
|
|
|
| 260 |
2.6 |
11.09333 |
0.36238216 |
0.356473 |
0.359428 |
0.00553 |
|
|
|
|
|
| 261 |
2.61 |
11.136 |
0.3564735 |
0.350599 |
0.353536 |
0.00544 |
|
|
|
|
|
| 262 |
2.62 |
11.17867 |
0.35059909 |
0.34476 |
0.34768 |
0.005349 |
|
|
|
|
|
| 263 |
2.63 |
11.22133 |
0.34476018 |
0.338958 |
0.341859 |
0.00526 |
|
|
|
|
|
| 264 |
2.64 |
11.264 |
0.33895803 |
0.333194 |
0.336076 |
0.005171 |
|
|
|
|
|
| 265 |
2.65 |
11.30667 |
0.33319382 |
0.327469 |
0.330331 |
0.005083 |
|
|
|
|
|
| 266 |
2.66 |
11.34933 |
0.32746875 |
0.321784 |
0.324626 |
0.004995 |
|
|
|
|
|
| 267 |
2.67 |
11.392 |
0.32178397 |
0.316141 |
0.318962 |
0.004908 |
|
|
|
|
|
| 268 |
2.68 |
11.43467 |
0.3161406 |
0.31054 |
0.31334 |
0.004821 |
|
|
|
|
|
| 269 |
2.69 |
11.47733 |
0.31053975 |
0.304982 |
0.307761 |
0.004735 |
|
|
|
|
|
| 270 |
2.7 |
11.52 |
0.30498247 |
0.29947 |
0.302226 |
0.00465 |
|
|
|
|
|
| 271 |
2.71 |
11.56267 |
0.29946982 |
0.294003 |
0.296736 |
0.004566 |
|
|
|
|
|
| 272 |
2.72 |
11.60533 |
0.29400279 |
0.288582 |
0.291293 |
0.004482 |
|
|
|
|
|
| 273 |
2.73 |
11.648 |
0.28858235 |
0.283209 |
0.285896 |
0.004399 |
|
|
|
|
|
| 274 |
2.74 |
11.69067 |
0.28320947 |
0.277885 |
0.280547 |
0.004317 |
|
|
|
|
|
| 275 |
2.75 |
11.73333 |
0.27788504 |
0.27261 |
0.275247 |
0.004235 |
|
|
|
|
|
| 276 |
2.76 |
11.776 |
0.27260995 |
0.267385 |
0.269998 |
0.004154 |
|
|
|
|
|
| 277 |
2.77 |
11.81867 |
0.26738505 |
0.262211 |
0.264798 |
0.004074 |
|
|
|
|
|
| 278 |
2.78 |
11.86133 |
0.26221115 |
0.257089 |
0.25965 |
0.003995 |
|
|
|
|
|
| 279 |
2.79 |
11.904 |
0.25708903 |
0.252019 |
0.254554 |
0.003917 |
|
|
|
|
|
| 280 |
2.8 |
11.94667 |
0.25201944 |
0.247003 |
0.249511 |
0.003839 |
|
|
|
|
|
| 281 |
2.81 |
11.98933 |
0.2470031 |
0.242041 |
0.244522 |
0.003762 |
|
|
|
|
|
| 282 |
2.82 |
12.032 |
0.24204068 |
0.237133 |
0.239587 |
0.003686 |
|
|
|
|
|
| 283 |
2.83 |
12.07467 |
0.23713284 |
0.23228 |
0.234707 |
0.003611 |
|
|
|
|
|
| 284 |
2.84 |
12.11733 |
0.23228017 |
0.227483 |
0.229882 |
0.003537 |
|
|
|
|
|
| 285 |
2.85 |
12.16 |
0.22748327 |
0.222743 |
0.225113 |
0.003464 |
|
|
|
|
|
| 286 |
2.86 |
12.20267 |
0.22274267 |
0.218059 |
0.220401 |
0.003391 |
|
|
|
|
|
| 287 |
2.87 |
12.24533 |
0.21805888 |
0.213432 |
0.215746 |
0.003319 |
|
|
|
|
|
| 288 |
2.88 |
12.288 |
0.21343238 |
0.208864 |
0.211148 |
0.003249 |
|
|
|
|
|
| 289 |
2.89 |
12.33067 |
0.20886361 |
0.204353 |
0.206608 |
0.003179 |
|
|
|
|
|
| 290 |
2.9 |
12.37333 |
0.20435297 |
0.199901 |
0.202127 |
0.00311 |
|
|
|
|
|
| 291 |
2.91 |
12.416 |
0.19990083 |
0.195508 |
0.197704 |
0.003042 |
|
|
|
|
|
| 292 |
2.92 |
12.45867 |
0.19550754 |
0.191173 |
0.19334 |
0.002975 |
|
|
|
|
|
| 293 |
2.93 |
12.50133 |
0.1911734 |
0.186899 |
0.189036 |
0.002909 |
|
|
|
|
|
| 294 |
2.94 |
12.544 |
0.18689868 |
0.182684 |
0.184791 |
0.002843 |
|
|
|
|
|
| 295 |
2.95 |
12.58667 |
0.18268361 |
0.178528 |
0.180606 |
0.002779 |
|
|
|
|
|
| 296 |
2.96 |
12.62933 |
0.17852841 |
0.174433 |
0.176481 |
0.002715 |
|
|
|
|
|
| 297 |
2.97 |
12.672 |
0.17443324 |
0.170398 |
0.172416 |
0.002653 |
|
|
|
|
|
| 298 |
2.98 |
12.71467 |
0.17039825 |
0.166424 |
0.168411 |
0.002591 |
|
|
|
|
|
| 299 |
2.99 |
12.75733 |
0.16642355 |
0.162509 |
0.164466 |
0.002531 |
|
|
|
|
|
| 300 |
3 |
12.8 |
0.1625092 |
0.158655 |
0.160582 |
0.002471 |
|
|
|
|
|
| |
|
|
|
SUM |
|
8.176925 |
|
|
|
|
|
| ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS |
| APRIL 2003 |
|
|
|
N.ROUPHAIL |
|
|
|
|
|
| MEETINGS WORKSHEET |
|
|
|
|
|
|
|
|
| |
|
|
|
Travel Time= |
14.06 |
min |
|
MIN RECOM. X(MILES)= |
3.8391 |
| Qo= |
14.70 |
vph |
|
Ko= |
|
1.455446 |
veh/mile |
|
|
|
|
| MU |
10.10 |
mph |
|
No= |
|
4 |
veh |
|
|
|
|
| SIGMA |
2.70 |
mph |
|
ALPHAO= |
0.6871 |
miles |
|
|
|
|
| U= |
12.80 |
mph |
|
|
|
|
|
|
|
|
|
| X= |
3.00 |
miles |
|
AVERAGE TOTAL MEETINGS= |
7.73 |
|
PER HOUR= |
33.00 |
| |
|
|
|
STANDARD DEVIATION= |
2.78 |
|
|
2 |
| |
|
|
|
DETERMINISTIC EQUATION= |
7.81 |
|
|
|
| I=1 |
ALPHA |
V(X) |
F(VX) |
F(Vx+DX) |
F |
N MEETINGS |
|
|
|
|
| |
|
0 |
|
|
|
4.366337 |
|
|
|
|
|
| 1 |
0.01 |
0.042667 |
0.99990823 |
0.999902 |
0.999905 |
0.014553 |
|
|
|
|
|
| 2 |
0.02 |
0.085333 |
0.99990229 |
0.999896 |
0.999899 |
0.014553 |
|
|
|
|
|
| 3 |
0.03 |
0.128 |
0.99989599 |
0.999889 |
0.999893 |
0.014553 |
|
|
|
|
|
| 4 |
0.04 |
0.170667 |
0.9998893 |
0.999882 |
0.999886 |
0.014553 |
|
|
|
|
|
| 5 |
0.05 |
0.213333 |
0.99988222 |
0.999875 |
0.999878 |
0.014553 |
|
|
|
|
|
| 6 |
0.06 |
0.256 |
0.99987471 |
0.999867 |
0.999871 |
0.014553 |
|
|
|
|
|
| 7 |
0.07 |
0.298667 |
0.99986675 |
0.999858 |
0.999863 |
0.014552 |
|
|
|
|
|
| 8 |
0.08 |
0.341333 |
0.99985832 |
0.999849 |
0.999854 |
0.014552 |
|
|
|
|
|
| 9 |
0.09 |
0.384 |
0.9998494 |
0.99984 |
0.999845 |
0.014552 |
|
|
|
|
|
| 10 |
0.1 |
0.426667 |
0.99983995 |
0.99983 |
0.999835 |
0.014552 |
|
|
|
|
|
| 11 |
0.11 |
0.469333 |
0.99982994 |
0.999819 |
0.999825 |
0.014552 |
|
|
|
|
|
| 12 |
0.12 |
0.512 |
0.99981936 |
0.999808 |
0.999814 |
0.014552 |
|
|
|
|
|
| 13 |
0.13 |
0.554667 |
0.99980816 |
0.999796 |
0.999802 |
0.014552 |
|
|
|
|
|
| 14 |
0.14 |
0.597333 |
0.99979631 |
0.999784 |
0.99979 |
0.014551 |
|
|
|
|
|
| 15 |
0.15 |
0.64 |
0.99978378 |
0.999771 |
0.999777 |
0.014551 |
|
|
|
|
|
| 16 |
0.16 |
0.682667 |
0.99977054 |
0.999757 |
0.999764 |
0.014551 |
|
|
|
|
|
| 17 |
0.17 |
0.725333 |
0.99975654 |
0.999742 |
0.999749 |
0.014551 |
|
|
|
|
|
| 18 |
0.18 |
0.768 |
0.99974175 |
0.999726 |
0.999734 |
0.014551 |
|
|
|
|
|
| 19 |
0.19 |
0.810667 |
0.99972613 |
0.99971 |
0.999718 |
0.01455 |
|
|
|
|
|
| 20 |
0.2 |
0.853333 |
0.99970962 |
0.999692 |
0.999701 |
0.01455 |
|
|
|
|
|
| 21 |
0.21 |
0.896 |
0.9996922 |
0.999674 |
0.999683 |
0.01455 |
|
|
|
|
|
| 22 |
0.22 |
0.938667 |
0.99967381 |
0.999654 |
0.999664 |
0.01455 |
|
|
|
|
|
| 23 |
0.23 |
0.981333 |
0.9996544 |
0.999634 |
0.999644 |
0.014549 |
|
|
|
|
|
| 24 |
0.24 |
1.024 |
0.99963392 |
0.999612 |
0.999623 |
0.014549 |
|
|
|
|
|
| 25 |
0.25 |
1.066667 |
0.99961232 |
0.99959 |
0.999601 |
0.014549 |
|
|
|
|
|
| 26 |
0.26 |
1.109333 |
0.99958954 |
0.999566 |
0.999578 |
0.014548 |
|
|
|
|
|
| 27 |
0.27 |
1.152 |
0.99956552 |
0.99954 |
0.999553 |
0.014548 |
|
|
|
|
|
| 28 |
0.28 |
1.194667 |
0.99954021 |
0.999514 |
0.999527 |
0.014548 |
|