~v200 200 ~w38 0 534 784 0 529 0 0 ~f? 14 12 10
? 3 0 1 0 ? ? ? "Arial" ? ? ? 1 ? 0 1
"Times" 12 ? ? 8 0 c n 107 1 0 0 k 468
i"?n             page ?p?a"
-2 1 26177 26178 26115 26178 1 1 1 1 0 0
8405120 0 -1 0 0 -1 -1 -1 -1 -1 0 1 ? ? 
~Q
]|Expr|[#b @`bb#_b#_b#_})3# b&," *|: ;bP8&c0!*Fresnel Sine and|
  | Cosine Integrals in terms of Taylor Series|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~V?f0 (S)~p1
1 ~A(S(?x)=Conditional(-1/2,(?x<-10^12);0,(abs(?x)<=10^(-12));1/~
 2,(?x>10^12);2/sqrt(2*'p)*(Summation(k):(0):(n-1)*((-1)^k*?x^~
 (4*k+3))/((2*k+1)!*(4*k+3))),(abs(?x)>10^(-12))))~p0
2 ~d~V?f0 (C)~p1
1 ~A(C(?x)=Conditional(-1/2,(?x<-10^12);0,(abs(?x)<=10^(-12));1/~
 2,(?x>10^12);2/sqrt(2*'p)*(Summation(k):(0):(n-1)*((-1)^k*?x^~
 (4*k+1))/((2*k)!*(4*k+1))),(abs(?x)>10^(-12))))~p0
2 ~d~V?v0 (n)~p0
1 ~V?v0 (t)~p0
1 ~V?v0 (k)~p0
1 ~V?v0 (y)~p0
1 ~V?v0 (x)~p0
1 ~V?c1 ('p)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})'# b"S" *|: ;bP8&c0!*enter number|
  | of terms}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~A(n=35)~p0
255 ~d~G1 1 288 433
0 1 3 4 10
(-5...5):(-1...1):(?=0...2*'p):('p/~
 5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})## b#@" *|: ;bP8&c0!*Fresnel Integrals|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(0)~p0
1 ~gc1 2 ? 0 -3277 -4096 0
65535 -3277 4096 0
~gc1 2 ? 0 -1638 -4096 0
65535 -1638 4096 0
~gc1 2 ? 0 0 -4096 0
65535 0 4096 0
~gc1 2 ? 0 1638 -4096 0
65535 1638 4096 0
~gc1 2 ? 0 3277 -4096 0
65535 3277 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...top):(0)~p0
1 ~gc1 2 ? 0 -4096 -2048 0
65535 4096 -2048 0
~gc1 2 ? 0 -4096 0 0
65535 4096 0 0
~gc1 2 ? 0 -4096 2048 0
65535 4096 2048 0
~
 ~X2 8405120 (left,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 -4096 4096 0
~X1 8405120 (x,bottom):(~
 x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 4096 -4096 0
~V?c64 (left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~L1 0 ? (x,C(x)):(x=left...right)~p0
0 ~gc0 131 ? 0 -4096 -1999 0
362 -4051 -1835 0
580 -4023 -1763 0
710 -4007 -1734 0
928 -3980 -1712 0
1486 -3910 -1810 0
1820 -3868 -1950 0
2378 -3799 -2220 0
2811 -3745 -2369 0
3071 -3712 -2407 0
3341 -3678 -2397 0
3504 -3658 -2368 0
3775 -3624 -2285 0
4058 -3589 -2164 0
4228 -3567 -2081 0
4723 -3506 -1844 0
4838 -3491 -1797 0
4908 -3482 -1771 0
5020 -3468 -1735 0
5135 -3454 -1703 0
5329 -3430 -1668 0
5515 -3407 -1656 0
5825 -3368 -1684 0
6018 -3344 -1730 0
6342 -3303 -1847 0
7498 -3159 -2372 0
7758 -3126 -2443 0
8029 -3092 -2478 0
8192 -3072 -2480 0
8400 -3046 -2460 0
8526 -3030 -2436 0
8734 -3004 -2380 0
9083 -2961 -2247 0
10012 -2844 -1803 0
10570 -2775 -1612 0
10879 -2736 -1564 0
11065 -2713 -1558 0
11362 -2676 -1584 0
11857 -2614 -1717 0
12373 -2549 -1939 0
12684 -2510 -2093 0
13240 -2441 -2356 0
13449 -2415 -2439 0
13575 -2399 -2483 0
13923 -2356 -2576 0
14132 -2329 -2609 0
14698 -2259 -2606 0
14834 -2242 -2586 0
16218 -2069 -2061 0
16912 -1982 -1724 0
17704 -1883 -1430 0
17897 -1859 -1384 0
18013 -1844 -1361 0
18509 -1782 -1315 0
18702 -1758 -1319 0
19026 -1718 -1353 0
20876 -1486 -2029 0
22362 -1301 -2731 0
23254 -1189 -3029 0
23749 -1127 -3131 0
24046 -1090 -3169 0
24355 -1052 -3191 0
24851 -990 -3186 0
25174 -949 -3159 0
25368 -925 -3134 0
26259 -814 -2944 0
27746 -628 -2419 0
29596 -396 -1573 0
35938 396 1572 0
38052 661 2526 0
38980 777 2857 0
39538 846 3011 0
39872 888 3084 0
40430 958 3166 0
40863 1012 3193 0
41393 1078 3178 0
41556 1099 3162 0
41827 1132 3125 0
42280 1189 3029 0
45686 1615 1573 0
46244 1685 1405 0
46452 1711 1362 0
47009 1780 1315 0
47135 1796 1318 0
47692 1866 1395 0
48622 1982 1723 0
49943 2147 2352 0
50438 2209 2526 0
50736 2246 2592 0
51083 2289 2624 0
51292 2316 2619 0
51627 2357 2573 0
52184 2427 2401 0
52765 2500 2136 0
53114 2543 1963 0
53547 2597 1767 0
53709 2618 1706 0
53807 2630 1673 0
54240 2684 1575 0
54511 2718 1558 0
54680 2739 1566 0
54964 2775 1612 0
56285 2940 2170 0
57078 3039 2450 0
57348 3073 2480 0
57511 3093 2478 0
57771 3125 2444 0
57933 3146 2404 0
58204 3180 2311 0
58656 3236 2103 0
59484 3340 1739 0
59819 3381 1667 0
60036 3409 1656 0
60167 3425 1664 0
60376 3451 1698 0
60724 3495 1808 0
61087 3540 1972 0
61306 3567 2081 0
61999 3654 2360 0
62269 3688 2405 0
62432 3708 2408 0
62703 3742 2374 0
62986 3777 2290 0
63156 3799 2221 0
63713 3868 1951 0
64048 3910 1810 0
64605 3980 1712 0
64822 4007 1734 0
64953 4023 1763 0
65171 4050 1834 0
65535 4096 1999 0
~
 ~L1 16711680 ? (x,S(x)):(x=left...right)~p0
0 ~gc0 125 ? 0 -4096 -1726 0
928 -3980 -2041 0
1276 -3936 -2209 0
1407 -3920 -2264 0
1486 -3910 -2293 0
2029 -3842 -2396 0
2159 -3826 -2390 0
2378 -3799 -2355 0
3071 -3712 -2080 0
3794 -3622 -1759 0
3956 -3601 -1714 0
4228 -3567 -1675 0
4525 -3530 -1687 0
5020 -3468 -1824 0
6342 -3303 -2399 0
6612 -3269 -2449 0
6775 -3249 -2459 0
7035 -3217 -2442 0
7468 -3162 -2330 0
7920 -3106 -2135 0
8192 -3072 -2000 0
8748 -3002 -1748 0
9083 -2961 -1644 0
9431 -2917 -1592 0
9640 -2891 -1592 0
9857 -2864 -1617 0
9988 -2847 -1643 0
10570 -2775 -1846 0
11395 -2672 -2245 0
12076 -2586 -2501 0
12188 -2572 -2527 0
12374 -2549 -2559 0
12684 -2510 -2576 0
13018 -2469 -2545 0
13575 -2399 -2390 0
14504 -2283 -1962 0
15062 -2213 -1700 0
15495 -2159 -1540 0
15928 -2105 -1439 0
16188 -2072 -1411 0
16459 -2039 -1409 0
16628 -2017 -1422 0
16912 -1982 -1467 0
17023 -1968 -1492 0
17209 -1945 -1543 0
17704 -1883 -1723 0
19026 -1718 -2357 0
20182 -1573 -2797 0
20615 -1519 -2885 0
20876 -1486 -2914 0
21084 -1460 -2924 0
21214 -1444 -2924 0
21429 -1417 -2914 0
21559 -1401 -2902 0
21975 -1349 -2837 0
22324 -1305 -2751 0
23254 -1189 -2414 0
25368 -925 -1395 0
26854 -739 -763 0
27746 -628 -478 0
28439 -541 -310 0
29162 -451 -180 0
29596 -396 -123 0
30388 -297 -52 0
31710 -132 -5 0
33560 99 2 0
35046 285 46 0
35938 396 123 0
36730 495 239 0
38052 661 554 0
40430 958 1522 0
41586 1102 2094 0
42280 1189 2413 0
43072 1288 2710 0
43567 1350 2838 0
44083 1414 2912 0
44394 1453 2924 0
44556 1474 2920 0
44762 1499 2905 0
45249 1560 2823 0
45520 1594 2751 0
47458 1836 1891 0
48185 1927 1588 0
48622 1982 1468 0
48807 2005 1435 0
49117 2044 1408 0
49414 2081 1416 0
49599 2104 1438 0
49909 2143 1503 0
51160 2299 2026 0
51912 2393 2372 0
52193 2428 2469 0
52644 2485 2562 0
53114 2543 2564 0
53373 2576 2521 0
53807 2630 2388 0
54530 2720 2054 0
54964 2775 1846 0
55459 2836 1665 0
55756 2874 1605 0
56065 2912 1590 0
56251 2935 1606 0
56561 2974 1672 0
57078 3039 1872 0
57800 3129 2222 0
58234 3183 2384 0
58494 3216 2441 0
58656 3236 2457 0
58928 3270 2449 0
59262 3312 2379 0
60399 3454 1873 0
60748 3498 1743 0
60957 3524 1695 0
61306 3567 1675 0
61565 3600 1711 0
61999 3654 1857 0
62722 3744 2203 0
63156 3799 2355 0
63373 3826 2390 0
63504 3842 2396 0
64048 3910 2294 0
64126 3920 2264 0
64256 3936 2210 0
64605 3980 2042 0
65535 4096 1726 0
~t~p0
0 ~G1 1 361 433
1 2 3 4 10
(-1...1):(-0.80000000000000004...0.80000000000000004):(~
 ?=0...2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})## b#@" *|: ;bP8&c0!*Cornu Spiral|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(0)~p0
1 ~gc1 2 ? 0 -2048 -4096 0
65535 -2048 4096 0
~gc1 2 ? 0 0 -4096 0
65535 0 4096 0
~gc1 2 ? 0 2048 -4096 0
65535 2048 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...top):(0)~p0
1 ~gc1 2 ? 0 -4096 -2560 0
65535 4096 -2560 0
~gc1 2 ? 0 -4096 0 0
65535 4096 0 0
~gc1 2 ? 0 -4096 2560 0
65535 4096 2560 0
~
 ~X2 8405120 (left,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 -4096 4096 0
~X1 8405120 (x,bottom):(~
 x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 4096 -4096 0
~V?c64 (left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~L1 0 ? (C(t),S(t)):(t=-5...5)~p0
0 ~gc0 262 ? 0 -1999 -2157 0
362 -1835 -2245 0
580 -1763 -2346 0
710 -1734 -2419 0
928 -1712 -2551 0
1058 -1716 -2632 0
1137 -1724 -2680 0
1218 -1737 -2728 0
1267 -1747 -2756 0
1349 -1767 -2800 0
1486 -1810 -2867 0
1694 -1893 -2944 0
1820 -1950 -2974 0
1950 -2014 -2992 0
2159 -2117 -2988 0
2295 -2183 -2965 0
2378 -2220 -2944 0
2479 -2263 -2910 0
2648 -2324 -2839 0
2811 -2369 -2754 0
2908 -2388 -2699 0
3071 -2407 -2600 0
3341 -2397 -2433 0
3402 -2388 -2397 0
3504 -2368 -2339 0
3673 -2320 -2252 0
3775 -2285 -2206 0
3944 -2216 -2146 0
4121 -2134 -2106 0
4228 -2081 -2094 0
4537 -1929 -2111 0
4723 -1844 -2157 0
4834 -1799 -2197 0
5020 -1735 -2280 0
5213 -1687 -2384 0
5329 -1668 -2452 0
5708 -1666 -2686 0
5825 -1684 -2756 0
6018 -1730 -2861 0
6342 -1847 -2998 0
6510 -1922 -3044 0
6612 -1971 -3061 0
6872 -2100 -3072 0
7035 -2180 -3052 0
7305 -2300 -2979 0
7406 -2340 -2940 0
7468 -2362 -2913 0
7569 -2394 -2865 0
7739 -2439 -2775 0
8022 -2478 -2606 0
8192 -2480 -2500 0
8539 -2434 -2293 0
8748 -2376 -2185 0
8873 -2332 -2130 0
9083 -2247 -2055 0
9300 -2146 -2005 0
9431 -2082 -1990 0
9640 -1978 -1990 0
9857 -1873 -2021 0
9988 -1813 -2054 0
10124 -1756 -2098 0
10206 -1724 -2130 0
10484 -1634 -2261 0
10516 -1625 -2278 0
10570 -1612 -2307 0
10763 -1577 -2419 0
10879 -1564 -2490 0
11176 -1563 -2674 0
11292 -1574 -2745 0
11362 -1584 -2787 0
11405 -1592 -2812 0
11477 -1606 -2853 0
11671 -1655 -2957 0
11857 -1717 -3044 0
12050 -1793 -3117 0
12167 -1843 -3153 0
12360 -1933 -3196 0
12562 -2032 -3218 0
12684 -2093 -3220 0
13031 -2262 -3178 0
13240 -2356 -3121 0
13496 -2456 -3024 0
13575 -2483 -2988 0
13705 -2523 -2924 0
13923 -2576 -2806 0
14132 -2609 -2682 0
14349 -2624 -2549 0
14480 -2623 -2467 0
14698 -2606 -2333 0
14925 -2568 -2200 0
15062 -2535 -2125 0
15495 -2392 -1925 0
15755 -2282 -1840 0
15917 -2207 -1801 0
16188 -2076 -1764 0
16459 -1941 -1762 0
16742 -1803 -1796 0
16912 -1724 -1834 0
17407 -1522 -2010 0
17704 -1430 -2154 0
18013 -1361 -2326 0
18199 -1334 -2437 0
18509 -1315 -2629 0
18832 -1329 -2829 0
19459 -1447 -3188 0
19719 -1528 -3315 0
19989 -1627 -3428 0
20152 -1693 -3487 0
20423 -1813 -3565 0
20706 -1946 -3622 0
20876 -2029 -3643 0
21432 -2306 -3642 0
21767 -2468 -3593 0
22115 -2627 -3507 0
22324 -2715 -3438 0
22672 -2849 -3301 0
23035 -2968 -3131 0
23254 -3029 -3017 0
23749 -3131 -2737 0
24046 -3169 -2558 0
24541 -3194 -2252 0
25057 -3171 -1932 0
25368 -3134 -1744 0
25924 -3029 -1424 0
26259 -2944 -1244 0
26816 -2772 -971 0
27397 -2560 -726 0
27746 -2419 -598 0
28439 -2118 -387 0
29596 -1573 -154 0
31710 -527 -6 0
33560 395 2 0
35046 1135 57 0
35938 1572 154 0
36730 1950 298 0
37556 2321 520 0
38608 2734 921 0
38943 2846 1077 0
39500 3002 1363 0
40081 3121 1693 0
40430 3166 1903 0
40863 3193 2170 0
41123 3193 2332 0
41556 3162 2599 0
42008 3091 2866 0
42280 3029 3017 0
42775 2880 3262 0
43072 2771 3387 0
43381 2644 3495 0
43567 2561 3548 0
43877 2416 3613 0
44200 2258 3650 0
44394 2161 3656 0
44827 1947 3622 0
45087 1824 3571 0
45357 1704 3495 0
45520 1637 3438 0
46074 1448 3189 0
46137 1431 3156 0
46244 1405 3098 0
46591 1341 2897 0
46800 1321 2769 0
46878 1317 2721 0
47003 1315 2643 0
47135 1318 2561 0
47483 1355 2349 0
47692 1395 2229 0
47909 1452 2114 0
48040 1492 2050 0
48485 1663 1874 0
48622 1723 1834 0
49117 1961 1760 0
49414 2109 1770 0
49599 2198 1797 0
49909 2338 1879 0
50219 2458 2000 0
50542 2552 2162 0
50736 2592 2273 0
51083 2624 2484 0
51292 2619 2614 0
51417 2608 2691 0
51627 2573 2814 0
51975 2478 2995 0
52184 2401 3083 0
52401 2309 3153 0
52532 2249 3184 0
52668 2183 3206 0
53028 2005 3214 0
53114 1963 3205 0
53384 1836 3149 0
53547 1767 3096 0
53807 1673 2985 0
54077 1602 2842 0
54240 1575 2747 0
54409 1560 2643 0
54680 1566 2475 0
54746 1573 2435 0
54964 1612 2308 0
55157 1664 2207 0
55273 1703 2154 0
55342 1729 2125 0
55570 1824 2047 0
55756 1910 2006 0
56065 2063 1988 0
56251 2154 2008 0
56444 2243 2052 0
56561 2293 2090 0
56754 2365 2170 0
56956 2424 2272 0
57078 2450 2340 0
57348 2480 2504 0
57511 2478 2605 0
57608 2470 2665 0
57771 2444 2761 0
58041 2371 2901 0
58204 2311 2970 0
58373 2239 3024 0
58475 2191 3047 0
58644 2109 3070 0
58928 1969 3061 0
58976 1945 3053 0
59275 1813 2969 0
59484 1739 2878 0
59609 1705 2813 0
59819 1667 2691 0
60167 1664 2476 0
60376 1698 2353 0
60593 1760 2243 0
60724 1808 2188 0
60942 1902 2122 0
61169 2013 2092 0
61306 2081 2094 0
61576 2209 2142 0
61739 2277 2198 0
61836 2312 2240 0
61999 2360 2321 0
62269 2405 2479 0
62601 2393 2683 0
62703 2374 2743 0
62808 2348 2799 0
62872 2329 2831 0
62978 2293 2880 0
63089 2249 2922 0
63156 2221 2943 0
63373 2119 2988 0
63582 2015 2992 0
63713 1951 2975 0
63838 1894 2945 0
64048 1810 2867 0
64183 1768 2802 0
64265 1747 2757 0
64314 1737 2730 0
64396 1724 2681 0
64474 1716 2634 0
64605 1712 2552 0
64822 1734 2420 0
64953 1763 2347 0
65038 1787 2304 0
65089 1804 2281 0
65171 1834 2246 0
65307 1891 2199 0
65535 1999 2157 0
~t~p0
0 ~e