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# Fourier Analysis of TIE (Titanium Metals Corporation Com)

TIE (Titanium Metals Corporation Com) appears to have interesting cyclic behaviour every 90 weeks (378.6197*sine), 49 weeks (377.2496*sine), and 83 weeks (341.0913*sine).

TIE (Titanium Metals Corporation Com) has an average price of 2,325.24 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 6/5/1996 to 3/13/2017 for TIE (Titanium Metals Corporation Com), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,325.243   0
13,503.296 -2,551.408 (1*2π)/10841,084 weeks
21,125.916 -3,331.068 (2*2π)/1084542 weeks
3-677.3856 -2,332.413 (3*2π)/1084361 weeks
4-1,010.573 -779.6821 (4*2π)/1084271 weeks
5-230.5282 72.43842 (5*2π)/1084217 weeks
6541.0772 -180.8521 (6*2π)/1084181 weeks
7494.6922 -790.3364 (7*2π)/1084155 weeks
8-8.19499 -898.2274 (8*2π)/1084136 weeks
9-266.7579 -573.9828 (9*2π)/1084120 weeks
10-172.3001 -301.098 (10*2π)/1084108 weeks
11-6.75998 -280.838 (11*2π)/108499 weeks
12-13.2414 -378.6197 (12*2π)/108490 weeks
13-137.1831 -341.0913 (13*2π)/108483 weeks
14-134.4664 -195.569 (14*2π)/108477 weeks
15-30.49938 -167.2795 (15*2π)/108472 weeks
16-21.86063 -231.2223 (16*2π)/108468 weeks
17-104.5398 -231.832 (17*2π)/108464 weeks
18-172.3763 -115.8484 (18*2π)/108460 weeks
19-79.51788 63.2098 (19*2π)/108457 weeks
20179.681 52.71753 (20*2π)/108454 weeks
21264.0447 -220.0661 (21*2π)/108452 weeks
2237.91401 -377.2496 (22*2π)/108449 weeks
23-158.1422 -243.7889 (23*2π)/108447 weeks
24-143.4161 -50.22675 (24*2π)/108445 weeks
256.69745 50.38548 (25*2π)/108443 weeks
26191.7912 -29.51302 (26*2π)/108442 weeks
27189.3652 -250.8414 (27*2π)/108440 weeks
28-10.31266 -312.1256 (28*2π)/108439 weeks
29-97.25134 -181.8366 (29*2π)/108437 weeks
30-45.8563 -115.9957 (30*2π)/108436 weeks
31-20.89904 -116.7625 (31*2π)/108435 weeks
32.33365 -119.9731 (32*2π)/108434 weeks
33-6.2256 -156.6871 (33*2π)/108433 weeks
34-51.82018 -143.6904 (34*2π)/108432 weeks
35-31.45749 -116.9978 (35*2π)/108431 weeks
36-44.54697 -170.7149 (36*2π)/108430 weeks
37-158.0466 -142.9264 (37*2π)/108429 weeks
38-170.13 7.8527 (38*2π)/108429 weeks
39-52.02729 84.48074 (39*2π)/108428 weeks
4056.87042 57.3474 (40*2π)/108427 weeks
41121.7299 -29.94855 (41*2π)/108426 weeks
4283.02315 -143.1883 (42*2π)/108426 weeks
43-31.55023 -144.2029 (43*2π)/108425 weeks
44-50.84031 -54.92144 (44*2π)/108425 weeks
455.42145 -31.19082 (45*2π)/108424 weeks
4629.30003 -57.00858 (46*2π)/108424 weeks
4725.00323 -80.98885 (47*2π)/108423 weeks
48-1.60643 -83.25852 (48*2π)/108423 weeks
497.17751 -46.48212 (49*2π)/108422 weeks
5065.2171 -75.07759 (50*2π)/108422 weeks
5127.60378 -158.1821 (51*2π)/108421 weeks
52-63.59269 -134.2334 (52*2π)/108421 weeks
53-65.39503 -69.60606 (53*2π)/108420 weeks
54-54.55922 -50.50998 (54*2π)/108420 weeks
55-31.12202 -8.61438 (55*2π)/108420 weeks
5643.61688 -38.82259 (56*2π)/108419 weeks
57-5.62879 -132.5227 (57*2π)/108419 weeks
58-115.1869 -65.7144 (58*2π)/108419 weeks
59-53.70392 48.50433 (59*2π)/108418 weeks
6035.07388 16.0399 (60*2π)/108418 weeks
6132.78012 -15.16687 (61*2π)/108418 weeks
6267.30659 -23.32945 (62*2π)/108417 weeks
6367.80888 -100.9365 (63*2π)/108417 weeks
64-16.10309 -112.8779 (64*2π)/108417 weeks
65-28.9215 -51.76917 (65*2π)/108417 weeks
66-2.54412 -49.51746 (66*2π)/108416 weeks
67-15.80797 -43.40711 (67*2π)/108416 weeks
6811.58768 -14.14909 (68*2π)/108416 weeks
6955.04137 -44.18583 (69*2π)/108416 weeks
7044.9662 -94.97266 (70*2π)/108415 weeks
71.87325 -119.8757 (71*2π)/108415 weeks
72-55.1129 -95.79375 (72*2π)/108415 weeks
73-51.63551 -28.05101 (73*2π)/108415 weeks
748.77936 -23.89337 (74*2π)/108415 weeks
758.15735 -67.41297 (75*2π)/108414 weeks
76-12.90108 -60.85366 (76*2π)/108414 weeks
77-5.4996 -69.72402 (77*2π)/108414 weeks
78-47.21325 -76.27613 (78*2π)/108414 weeks
79-51.96972 -12.58842 (79*2π)/108414 weeks
8013.87935 -18.57257 (80*2π)/108414 weeks
81-16.86981 -73.29993 (81*2π)/108413 weeks
82-60.45004 -14.16988 (82*2π)/108413 weeks
8312.0774 22.18531 (83*2π)/108413 weeks
8438.22486 -39.57434 (84*2π)/108413 weeks
854.33015 -47.54317 (85*2π)/108413 weeks
8616.51125 -45.41141 (86*2π)/108413 weeks
87-9.64666 -68.7101 (87*2π)/108412 weeks
88-31.44816 -18.07027 (88*2π)/108412 weeks
8938.18368 -2.88512 (89*2π)/108412 weeks
9050.4465 -77.66631 (90*2π)/108412 weeks
91-7.32992 -90.098 (91*2π)/108412 weeks
92-15.13767 -66.58574 (92*2π)/108412 weeks
93-24.43221 -69.37956 (93*2π)/108412 weeks
94-32.20497 -44.2337 (94*2π)/108412 weeks
95-5.73383 -48.95879 (95*2π)/108411 weeks
96-35.76894 -75.37446 (96*2π)/108411 weeks
97-65.88628 -25.18422 (97*2π)/108411 weeks
98-12.55824 5.72749 (98*2π)/108411 weeks
9912.03399 -36.86034 (99*2π)/108411 weeks
100-12.65457 -54.64214 (100*2π)/108411 weeks
101-30.07103 -54.8854 (101*2π)/108411 weeks
102-61.63298 -35.53008 (102*2π)/108411 weeks
103-46.46078 22.26814 (103*2π)/108411 weeks
10417.56545 16.13859 (104*2π)/108410 weeks
10515.43905 -32.60221 (105*2π)/108410 weeks
106-10.93627 -26.86401 (106*2π)/108410 weeks
107-5.81628 -15.77657 (107*2π)/108410 weeks
108-3.00974 -2.85406 (108*2π)/108410 weeks
10942.88828 5.04433 (109*2π)/108410 weeks
11066.59283 -71.06673 (110*2π)/108410 weeks
111-20.68152 -105.6816 (111*2π)/108410 weeks
112-49.68141 -27.34034 (112*2π)/108410 weeks
1139.85751 -19.02261 (113*2π)/108410 weeks
114-3.05932 -56.86874 (114*2π)/108410 weeks
115-13.63188 -35.08457 (115*2π)/10849 weeks
1164.57004 -60.60333 (116*2π)/10849 weeks
117-59.12373 -70.48492 (117*2π)/10849 weeks
118-59.76279 20.54781 (118*2π)/10849 weeks
11941.46439 9.66932 (119*2π)/10849 weeks
12019.35524 -87.96735 (120*2π)/10849 weeks
121-64.39011 -63.66834 (121*2π)/10849 weeks
122-51.14677 -6.12623 (122*2π)/10849 weeks
123-31.42521 -3.11754 (123*2π)/10849 weeks
124-18.70707 14.76289 (124*2π)/10849 weeks
12520.68761 .57783 (125*2π)/10849 weeks
1265.28763 -39.93378 (126*2π)/10849 weeks
127-26.76828 -19.37566 (127*2π)/10849 weeks
128-3.80437 7.92056 (128*2π)/10848 weeks
12925.80005 -5.96663 (129*2π)/10848 weeks
13031.62456 -40.45 (130*2π)/10848 weeks
131-7.8428 -66.95735 (131*2π)/10848 weeks
132-47.96517 -20.02067 (132*2π)/10848 weeks
1338.93847 25.95917 (133*2π)/10848 weeks
13455.0097 -36.01785 (134*2π)/10848 weeks
1352.03081 -74.60521 (135*2π)/10848 weeks
136-17.76399 -45.94921 (136*2π)/10848 weeks
137-21.01123 -54.20439 (137*2π)/10848 weeks
138-56.53036 -20.25279 (138*2π)/10848 weeks
1393.39755 31.33685 (139*2π)/10848 weeks
14057.24678 -48.53567 (140*2π)/10848 weeks
141-32.34818 -94.84939 (141*2π)/10848 weeks
142-64.7014 -11.15463 (142*2π)/10848 weeks
143-2.154 1.74992 (143*2π)/10848 weeks
144-10.53264 -32.27692 (144*2π)/10848 weeks
145-17.71299 -9.69132 (145*2π)/10847 weeks
1464.01037 -24.52092 (146*2π)/10847 weeks
147-29.76181 -31.05883 (147*2π)/10847 weeks
148-16.57082 19.22842 (148*2π)/10847 weeks
14943.83844 -6.69559 (149*2π)/10847 weeks
15018.01778 -65.57446 (150*2π)/10847 weeks
151-26.81065 -51.00905 (151*2π)/10847 weeks
152-29.4011 -27.118 (152*2π)/10847 weeks
153-24.88024 -5.57301 (153*2π)/10847 weeks
15414.93652 2.18117 (154*2π)/10847 weeks
15527.66724 -51.79742 (155*2π)/10847 weeks
156-31.58052 -64.36581 (156*2π)/10847 weeks
157-40.74174 -11.40572 (157*2π)/10847 weeks
158-3.66152 -5.94817 (158*2π)/10847 weeks
1592.70549 -21.43246 (159*2π)/10847 weeks
16012.20191 -35.94949 (160*2π)/10847 weeks
161-13.58885 -70.90747 (161*2π)/10847 weeks
162-67.05939 -38.18729 (162*2π)/10847 weeks
163-34.30526 18.11372 (163*2π)/10847 weeks
1648.09864 -11.17756 (164*2π)/10847 weeks
165-16.01339 -32.39972 (165*2π)/10847 weeks
166-19.89329 -19.53119 (166*2π)/10847 weeks
167-28.97622 -25.53745 (167*2π)/10846 weeks
168-40.00379 12.93707 (168*2π)/10846 weeks
16924.70737 25.66011 (169*2π)/10846 weeks
17033.93143 -52.29948 (170*2π)/10846 weeks
171-40.88694 -51.59592 (171*2π)/10846 weeks
172-26.72266 6.05567 (172*2π)/10846 weeks
1734.59536 -19.24862 (173*2π)/10846 weeks
174-23.8128 -20.20193 (174*2π)/10846 weeks
1755.05753 .7097 (175*2π)/10846 weeks
17610.10803 -53.10762 (176*2π)/10846 weeks
177-59.19051 -39.41232 (177*2π)/10846 weeks
178-28.65114 32.37737 (178*2π)/10846 weeks
17933.68291 -10.49768 (179*2π)/10846 weeks
180-14.19796 -57.65859 (180*2π)/10846 weeks
181-46.61898 -16.48708 (181*2π)/10846 weeks
182-25.33209 2.65452 (182*2π)/10846 weeks
183-20.12707 8.06525 (183*2π)/10846 weeks
1847.33262 16.8206 (184*2π)/10846 weeks
18525.86022 -20.13853 (185*2π)/10846 weeks
186-7.78163 -42.23034 (186*2π)/10846 weeks
187-30.56169 -21.19407 (187*2π)/10846 weeks
188-28.36902 4.07323 (188*2π)/10846 weeks
1892.07555 22.95093 (189*2π)/10846 weeks
19037.08337 -13.46666 (190*2π)/10846 weeks
191-5.51827 -52.61118 (191*2π)/10846 weeks
192-35.71233 -3.11369 (192*2π)/10846 weeks
19318.45802 10.28365 (193*2π)/10846 weeks
19413.06758 -39.5148 (194*2π)/10846 weeks
195-18.84546 -15.51322 (195*2π)/10846 weeks
19622.49207 -11.47539 (196*2π)/10846 weeks
197-2.33594 -64.26189 (197*2π)/10846 weeks
198-53.81126 -16.38235 (198*2π)/10845 weeks
19910.1311 18.75861 (199*2π)/10845 weeks
20020.25976 -54.78218 (200*2π)/10845 weeks
201-53.96228 -41.83727 (201*2π)/10845 weeks
202-26.77519 20.22681 (202*2π)/10845 weeks
20310.74333 -12.00318 (203*2π)/10845 weeks
204-19.87844 -19.72042 (204*2π)/10845 weeks
205-2.15553 3.81964 (205*2π)/10845 weeks
2069.06592 -28.78025 (206*2π)/10845 weeks
207-27.16545 -24.67016 (207*2π)/10845 weeks
208-9.65996 7.00615 (208*2π)/10845 weeks
20913.36943 -16.73556 (209*2π)/10845 weeks
210-6.56856 -30.86878 (210*2π)/10845 weeks
211-14.44721 -24.26951 (211*2π)/10845 weeks
212-27.13745 -18.83876 (212*2π)/10845 weeks
213-21.13982 12.96713 (213*2π)/10845 weeks
21422.23634 5.11034 (214*2π)/10845 weeks
21512.14348 -36.66521 (215*2π)/10845 weeks
216-14.44789 -23.60516 (216*2π)/10845 weeks
2171.84151 -19.8686 (217*2π)/10845 weeks
218-15.93019 -36.22669 (218*2π)/10845 weeks
219-24.74937 -4.64162 (219*2π)/10845 weeks
22012.00648 -11.58173 (220*2π)/10845 weeks
221-13.27012 -46.3113 (221*2π)/10845 weeks
222-38.85536 -8.18742 (222*2π)/10845 weeks
2232.35608 1.13487 (223*2π)/10845 weeks
224-7.58534 -34.27839 (224*2π)/10845 weeks
225-30.18372 -10.28482 (225*2π)/10845 weeks
226-3.51626 -7.26664 (226*2π)/10845 weeks
227-25.43377 -25.94567 (227*2π)/10845 weeks
228-30.95203 19.98043 (228*2π)/10845 weeks
22928.88935 12.00679 (229*2π)/10845 weeks
2309.22179 -45.80569 (230*2π)/10845 weeks
231-31.38276 -17.64365 (231*2π)/10845 weeks
232-.29002 -4.15036 (232*2π)/10845 weeks
233-17.19841 -30.96198 (233*2π)/10845 weeks
234-33.72567 12.77824 (234*2π)/10845 weeks
23526.57977 16.4068 (235*2π)/10845 weeks
23617.5876 -45.76884 (236*2π)/10845 weeks
237-32.17578 -25.92435 (237*2π)/10845 weeks
238-4.75565 2.56821 (238*2π)/10845 weeks
2391.04825 -26.73806 (239*2π)/10845 weeks
240-23.24041 -14.27345 (240*2π)/10845 weeks
241.19219 .23697 (241*2π)/10844 weeks
2424.85236 -25.5943 (242*2π)/10844 weeks
243-14.63849 -24.06153 (243*2π)/10844 weeks
244-11.26643 -16.79268 (244*2π)/10844 weeks
245-15.30897 -18.37745 (245*2π)/10844 weeks
246-11.14177 -11.02816 (246*2π)/10844 weeks
247-10.43835 -25.30808 (247*2π)/10844 weeks
248-36.28962 -13.56521 (248*2π)/10844 weeks
249-11.68296 18.34968 (249*2π)/10844 weeks
25014.45316 -17.02088 (250*2π)/10844 weeks
251-28.70428 -25.55748 (251*2π)/10844 weeks
252-14.08733 19.80309 (252*2π)/10844 weeks
25323.53853 -16.64553 (253*2π)/10844 weeks
254-29.94866 -34.67492 (254*2π)/10844 weeks
255-20.78951 29.63857 (255*2π)/10844 weeks
25645.52612 -5.4612 (256*2π)/10844 weeks
257-6.75238 -61.39555 (257*2π)/10844 weeks
258-39.47336 -2.62484 (258*2π)/10844 weeks
25917.06083 -.16992 (259*2π)/10844 weeks
260-7.93448 -47.10818 (260*2π)/10844 weeks
261-37.70326 -5.11574 (261*2π)/10844 weeks
2629.75869 1.58123 (262*2π)/10844 weeks
263-6.43717 -43.14666 (263*2π)/10844 weeks
264-43.03592 -11.92955 (264*2π)/10844 weeks
265-8.42727 12.63593 (265*2π)/10844 weeks
2663.29378 -15.53056 (266*2π)/10844 weeks
267-12.48845 -18.74758 (267*2π)/10844 weeks
268-14.46949 -18.11481 (268*2π)/10844 weeks
269-28.01045 -12.37739 (269*2π)/10844 weeks
270-17.91138 8.60616 (270*2π)/10844 weeks
271-.86162 -4.48198 (271*2π)/10844 weeks
272-15.64104 -7.73167 (272*2π)/10844 weeks
273-2.47958 5.83171 (273*2π)/10844 weeks
2743.14536 -19.37646 (274*2π)/10844 weeks
275-27.35365 -8.81013 (275*2π)/10844 weeks
2763.3885 20.74247 (276*2π)/10844 weeks
27725.81711 -26.53855 (277*2π)/10844 weeks
278-28.72661 -35.47254 (278*2π)/10844 weeks
279-20.36411 15.79696 (279*2π)/10844 weeks
28018.4302 -7.69008 (280*2π)/10844 weeks
281-11.85365 -26.43675 (281*2π)/10844 weeks
282-5.23369 -.05051 (282*2π)/10844 weeks
2839.11781 -32.69587 (283*2π)/10844 weeks
284-43.0997 -32.0102 (284*2π)/10844 weeks
285-28.66657 26.63758 (285*2π)/10844 weeks
28620.98389 1.81905 (286*2π)/10844 weeks
287-9.59522 -27.35829 (287*2π)/10844 weeks
288-14.59217 2.05191 (288*2π)/10844 weeks
2894.14922 -13.66444 (289*2π)/10844 weeks
290-25.14297 -12.57029 (290*2π)/10844 weeks
291.00958 22.57408 (291*2π)/10844 weeks
29233.90943 -23.37295 (292*2π)/10844 weeks
293-23.07524 -49.994 (293*2π)/10844 weeks
294-38.51431 5.02307 (294*2π)/10844 weeks
2951.99031 8.43474 (295*2π)/10844 weeks
296-4.57966 -8.97461 (296*2π)/10844 weeks
2973.20983 3.59649 (297*2π)/10844 weeks
29816.78336 -24.64041 (298*2π)/10844 weeks
299-22.54836 -34.35172 (299*2π)/10844 weeks
300-25.61286 5.65195 (300*2π)/10844 weeks
3016.81958 3.10625 (301*2π)/10844 weeks
3023.66613 -17.47019 (302*2π)/10844 weeks
303-4.91055 -21.12599 (303*2π)/10844 weeks
304-22.29384 -21.65821 (304*2π)/10844 weeks
305-27.48663 12.05833 (305*2π)/10844 weeks
30618.23155 16.5342 (306*2π)/10844 weeks
30715.73249 -31.08657 (307*2π)/10844 weeks
308-22.63112 -16.30937 (308*2π)/10844 weeks
3094.62499 4.61966 (309*2π)/10844 weeks
3102.96489 -27.67108 (310*2π)/10843 weeks
311-22.42952 .12682 (311*2π)/10843 weeks
31231.9854 8.93947 (312*2π)/10843 weeks
31320.25855 -65.83498 (313*2π)/10843 weeks
314-61.7322 -33.80788 (314*2π)/10843 weeks
315-12.45204 40.84356 (315*2π)/10843 weeks
31644.44742 -17.86065 (316*2π)/10843 weeks
317-10.1104 -50.70911 (317*2π)/10843 weeks
318-14.10005 -14.37761 (318*2π)/10843 weeks
319-2.44851 -41.17917 (319*2π)/10843 weeks
320-53.96821 -31.77283 (320*2π)/10843 weeks
321-31.58723 29.43484 (321*2π)/10843 weeks
32222.63035 .03997 (322*2π)/10843 weeks
323-10.40245 -38.31073 (323*2π)/10843 weeks
324-34.50378 -6.60644 (324*2π)/10843 weeks
325-12.14275 10.25641 (325*2π)/10843 weeks
3263.39718 3.91844 (326*2π)/10843 weeks
32712.9379 -13.30769 (327*2π)/10843 weeks
328-8.00571 -31.38848 (328*2π)/10843 weeks
329-25.48145 -5.16605 (329*2π)/10843 weeks
3303.87697 6.21164 (330*2π)/10843 weeks
3317.58094 -17.44629 (331*2π)/10843 weeks
3322.51994 -12.36379 (332*2π)/10843 weeks
33318.09426 -34.947 (333*2π)/10843 weeks
334-31.59454 -59.71486 (334*2π)/10843 weeks
335-58.15652 8.52578 (335*2π)/10843 weeks
33617.63691 26.41095 (336*2π)/10843 weeks
33720.10864 -46.2163 (337*2π)/10843 weeks
338-38.11951 -33.48324 (338*2π)/10843 weeks
339-15.01268 -.39929 (339*2π)/10843 weeks
340-12.60386 -27.25357 (340*2π)/10843 weeks
341-34.70619 -1.49405 (341*2π)/10843 weeks
34211.58958 6.07733 (342*2π)/10843 weeks
343-1.44344 -52.64925 (343*2π)/10843 weeks
344-64.5216 -22.2305 (344*2π)/10843 weeks
345-28.34344 34.72026 (345*2π)/10843 weeks
34610.51948 5.74643 (346*2π)/10843 weeks
347-3.04501 -7.49892 (347*2π)/10843 weeks
3487.68047 -12.41681 (348*2π)/10843 weeks
349-16.18631 -37.93555 (349*2π)/10843 weeks
350-45.70287 3.00948 (350*2π)/10843 weeks
3516.09062 28.47545 (351*2π)/10843 weeks
35222.82118 -23.50602 (352*2π)/10843 weeks
353-17.95155 -29.63973 (353*2π)/10843 weeks
354-15.21202 -7.68509 (354*2π)/10843 weeks
355-14.41116 -13.46584 (355*2π)/10843 weeks
356-15.6068 5.37454 (356*2π)/10843 weeks
35718.60028 -2.85764 (357*2π)/10843 weeks
3581.67335 -44.99897 (358*2π)/10843 weeks
359-38.58563 -24.30585 (359*2π)/10843 weeks
360-20.38482 5.69719 (360*2π)/10843 weeks
361-3.36559 -3.24576 (361*2π)/10843 weeks
3624.41379 -10.0188 (362*2π)/10843 weeks
3633.72819 -40.14209 (363*2π)/10843 weeks
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