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# Fourier Analysis of THC (Tenet Healthcare Corporation Co)

THC (Tenet Healthcare Corporation Co) appears to have interesting cyclic behaviour every 184 weeks (5.4283*sine), 184 weeks (5.2038*cosine), and 141 weeks (3.6718*cosine).

THC (Tenet Healthcare Corporation Co) has an average price of 44.21 (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 1/4/1982 to 3/13/2017 for THC (Tenet Healthcare Corporation Co), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
044.20748   0
1-27.75727 -2.18568 (1*2π)/18361,836 weeks
217.94124 6.19183 (2*2π)/1836918 weeks
3-5.93046 -17.11058 (3*2π)/1836612 weeks
4-1.83522 4.31129 (4*2π)/1836459 weeks
53.17476 -4.54134 (5*2π)/1836367 weeks
6-13.18782 1.45997 (6*2π)/1836306 weeks
77.49402 -1.88903 (7*2π)/1836262 weeks
8-9.44155 -2.62071 (8*2π)/1836230 weeks
94.77981 8.16155 (9*2π)/1836204 weeks
10-5.20384 -5.42831 (10*2π)/1836184 weeks
111.61914 4.81106 (11*2π)/1836167 weeks
12.97326 -2.94439 (12*2π)/1836153 weeks
13-3.67184 .42019 (13*2π)/1836141 weeks
141.65221 1.12592 (14*2π)/1836131 weeks
15-.92951 -1.00823 (15*2π)/1836122 weeks
16-1.35476 2.98401 (16*2π)/1836115 weeks
171.39822 -3.25761 (17*2π)/1836108 weeks
18-1.83689 1.18994 (18*2π)/1836102 weeks
193.07622 -1.68685 (19*2π)/183697 weeks
20-.99118 -1.1542 (20*2π)/183692 weeks
21.48246 .53294 (21*2π)/183687 weeks
22-.5795 -3.36506 (22*2π)/183683 weeks
23-.93822 2.83476 (23*2π)/183680 weeks
242.4371 -.07504 (24*2π)/183677 weeks
25-2.23701 -1.91355 (25*2π)/183673 weeks
261.29631 1.06054 (26*2π)/183671 weeks
27-.47039 -.8531 (27*2π)/183668 weeks
28-.04918 1.38895 (28*2π)/183666 weeks
29.96222 -1.67624 (29*2π)/183663 weeks
30-1.1966 -.69252 (30*2π)/183661 weeks
31.23214 .63576 (31*2π)/183659 weeks
32-.87222 -.97718 (32*2π)/183657 weeks
33.08735 1.62692 (33*2π)/183656 weeks
34.35269 -.40971 (34*2π)/183654 weeks
35-1.2304 1.60415 (35*2π)/183652 weeks
36.6122 .34492 (36*2π)/183651 weeks
37-.19111 -1.39964 (37*2π)/183650 weeks
38-.36772 1.80502 (38*2π)/183648 weeks
39.683 -.79908 (39*2π)/183647 weeks
40-.57194 1.33058 (40*2π)/183646 weeks
411.77775 -.18117 (41*2π)/183645 weeks
42-.36783 -.03468 (42*2π)/183644 weeks
431.21311 .0218 (43*2π)/183643 weeks
44-.33685 -1.03505 (44*2π)/183642 weeks
45.67332 .74191 (45*2π)/183641 weeks
46.62869 -.96201 (46*2π)/183640 weeks
47-1.04714 -.14713 (47*2π)/183639 weeks
48.66492 -.31742 (48*2π)/183638 weeks
49-.85141 -.66557 (49*2π)/183637 weeks
50.46404 .44248 (50*2π)/183637 weeks
51.16703 -.10722 (51*2π)/183636 weeks
52-.67358 .13271 (52*2π)/183635 weeks
53.63079 .61563 (53*2π)/183635 weeks
54-.2485 -.54587 (54*2π)/183634 weeks
55.26324 .71506 (55*2π)/183633 weeks
56.09454 -.4776 (56*2π)/183633 weeks
57-.44321 .56389 (57*2π)/183632 weeks
58.98649 -.64122 (58*2π)/183632 weeks
59-.6725 .07336 (59*2π)/183631 weeks
60-.56633 .43967 (60*2π)/183631 weeks
611.06019 -.36583 (61*2π)/183630 weeks
62-.88132 -.13243 (62*2π)/183630 weeks
63.90142 .37034 (63*2π)/183629 weeks
64-.79619 -.59767 (64*2π)/183629 weeks
65.34963 .72221 (65*2π)/183628 weeks
66-.27904 -1.04879 (66*2π)/183628 weeks
67.27631 .54254 (67*2π)/183627 weeks
68.06456 -.22826 (68*2π)/183627 weeks
69-.04635 -.41984 (69*2π)/183627 weeks
70.34522 .35156 (70*2π)/183626 weeks
71.09235 -.44924 (71*2π)/183626 weeks
72-.54208 .05777 (72*2π)/183626 weeks
73.59909 -.45093 (73*2π)/183625 weeks
74-.72112 .21476 (74*2π)/183625 weeks
75.65532 .19616 (75*2π)/183624 weeks
76-.60492 -.64087 (76*2π)/183624 weeks
77.21413 .56592 (77*2π)/183624 weeks
78-.14789 -.32682 (78*2π)/183624 weeks
79-.48722 -.07118 (79*2π)/183623 weeks
80.97227 .10134 (80*2π)/183623 weeks
81-.255 -.35193 (81*2π)/183623 weeks
82-.0998 .80245 (82*2π)/183622 weeks
83.69201 -.63941 (83*2π)/183622 weeks
84-.46457 .2128 (84*2π)/183622 weeks
85.42934 .21518 (85*2π)/183622 weeks
86-.38825 -.89712 (86*2π)/183621 weeks
87.31358 .36137 (87*2π)/183621 weeks
88.38341 -.90815 (88*2π)/183621 weeks
89-.64708 .41257 (89*2π)/183621 weeks
90.44436 -.01544 (90*2π)/183620 weeks
91-.13504 -.43661 (91*2π)/183620 weeks
92.24768 .2535 (92*2π)/183620 weeks
93-.39412 -.38744 (93*2π)/183620 weeks
94-.01874 .57565 (94*2π)/183620 weeks
95.37918 -.71806 (95*2π)/183619 weeks
96-.87096 .57388 (96*2π)/183619 weeks
97.28261 -.30146 (97*2π)/183619 weeks
98-.19459 -.14447 (98*2π)/183619 weeks
99-.08617 .27288 (99*2π)/183619 weeks
100.40563 -.42561 (100*2π)/183618 weeks
101-.62257 .38604 (101*2π)/183618 weeks
102.69678 -.09076 (102*2π)/183618 weeks
103-.35371 -.11286 (103*2π)/183618 weeks
104.36999 .39075 (104*2π)/183618 weeks
105-.16627 -.87045 (105*2π)/183617 weeks
106-.38134 .7834 (106*2π)/183617 weeks
107.7057 -.28727 (107*2π)/183617 weeks
108-.55327 -.12908 (108*2π)/183617 weeks
109.44253 .36244 (109*2π)/183617 weeks
110.16565 -.34077 (110*2π)/183617 weeks
111-.28106 .47646 (111*2π)/183617 weeks
112.66386 -.31933 (112*2π)/183616 weeks
113-.42715 -.40442 (113*2π)/183616 weeks
114.42774 .13464 (114*2π)/183616 weeks
115-.3882 -.82815 (115*2π)/183616 weeks
116-.023 .44004 (116*2π)/183616 weeks
117.19142 -.27984 (117*2π)/183616 weeks
118-.63668 -.08123 (118*2π)/183616 weeks
119.27191 -.06325 (119*2π)/183615 weeks
120-.1486 .04255 (120*2π)/183615 weeks
121-.16418 .39966 (121*2π)/183615 weeks
122.18649 -.13223 (122*2π)/183615 weeks
123.04305 .01645 (123*2π)/183615 weeks
124.16722 .31179 (124*2π)/183615 weeks
125.25875 -.4193 (125*2π)/183615 weeks
126-.1898 .29305 (126*2π)/183615 weeks
127.00679 -.29605 (127*2π)/183614 weeks
128-.35997 .02683 (128*2π)/183614 weeks
129.08237 -.11419 (129*2π)/183614 weeks
130-.23979 -.06778 (130*2π)/183614 weeks
131-.1239 .15575 (131*2π)/183614 weeks
132-.05686 -.25699 (132*2π)/183614 weeks
133-.32584 .14392 (133*2π)/183614 weeks
134.28033 -.06953 (134*2π)/183614 weeks
135-.17812 .04644 (135*2π)/183614 weeks
136.25272 .14143 (136*2π)/183614 weeks
137.02987 -.04075 (137*2π)/183613 weeks
138-.22036 .2012 (138*2π)/183613 weeks
139.13621 -.23393 (139*2π)/183613 weeks
140-.26877 .15588 (140*2π)/183613 weeks
141.4046 .20611 (141*2π)/183613 weeks
142-.0896 -.39472 (142*2π)/183613 weeks
143.0354 .50081 (143*2π)/183613 weeks
144.26031 -.45847 (144*2π)/183613 weeks
145-.41771 .3079 (145*2π)/183613 weeks
146.42842 -.12954 (146*2π)/183613 weeks
147-.36229 -.01729 (147*2π)/183612 weeks
148.19343 .08144 (148*2π)/183612 weeks
149-.02552 -.28459 (149*2π)/183612 weeks
150-.18933 .26459 (150*2π)/183612 weeks
151.11598 -.07652 (151*2π)/183612 weeks
152-.21078 .13115 (152*2π)/183612 weeks
153.20786 .17515 (153*2π)/183612 weeks
154-.21124 -.23098 (154*2π)/183612 weeks
155-.08949 .35332 (155*2π)/183612 weeks
156.37738 -.14892 (156*2π)/183612 weeks
157-.45209 .14204 (157*2π)/183612 weeks
158.55408 -.24083 (158*2π)/183612 weeks
159-.22297 -.07891 (159*2π)/183612 weeks
160.1403 .11849 (160*2π)/183611 weeks
161.10144 -.30646 (161*2π)/183611 weeks
162-.11136 .27141 (162*2π)/183611 weeks
163.28281 .03254 (163*2π)/183611 weeks
164-.07333 -.26604 (164*2π)/183611 weeks
165-.04239 .30121 (165*2π)/183611 weeks
166.17575 -.32417 (166*2π)/183611 weeks
167-.28693 .06007 (167*2π)/183611 weeks
168.24454 -.05958 (168*2π)/183611 weeks
169-.479 -.08007 (169*2π)/183611 weeks
170.21923 .10986 (170*2π)/183611 weeks
171.08018 -.12119 (171*2π)/183611 weeks
172-.25179 -.00355 (172*2π)/183611 weeks
173.19942 -.01729 (173*2π)/183611 weeks
174-.13167 -.03197 (174*2π)/183611 weeks
175.15207 .09914 (175*2π)/183610 weeks
176-.08645 -.31432 (176*2π)/183610 weeks
177-.0254 .18272 (177*2π)/183610 weeks
178-.0264 -.13226 (178*2π)/183610 weeks
179-.19463 -.10243 (179*2π)/183610 weeks
180-.02015 .17383 (180*2π)/183610 weeks
181-.00566 -.1782 (181*2π)/183610 weeks
182-.15855 .10798 (182*2π)/183610 weeks
183.10058 .084 (183*2π)/183610 weeks
184-.21209 .09432 (184*2π)/183610 weeks
185.12563 .02279 (185*2π)/183610 weeks
186.08509 -.06184 (186*2π)/183610 weeks
187-.13718 -.06354 (187*2π)/183610 weeks
188.1754 -.02217 (188*2π)/183610 weeks
189-.16781 -.07047 (189*2π)/183610 weeks
190.14239 .09355 (190*2π)/183610 weeks
191-.05386 -.27466 (191*2π)/183610 weeks
192-.04527 .29942 (192*2π)/183610 weeks
193.04296 -.34006 (193*2π)/183610 weeks
194-.10364 .02368 (194*2π)/18369 weeks
195.204 .03544 (195*2π)/18369 weeks
196-.40187 -.08257 (196*2π)/18369 weeks
197.20657 .0399 (197*2π)/18369 weeks
198-.20123 -.2006 (198*2π)/18369 weeks
199-.17695 .34758 (199*2π)/18369 weeks
200.0648 -.1923 (200*2π)/18369 weeks
201-.12866 .10833 (201*2π)/18369 weeks
202.2273 .15939 (202*2π)/18369 weeks
203.08371 -.16509 (203*2π)/18369 weeks
204-.07904 .05234 (204*2π)/18369 weeks
205.22662 -.12397 (205*2π)/18369 weeks
206-.34095 .0135 (206*2π)/18369 weeks
207.22973 .03996 (207*2π)/18369 weeks
208-.26936 -.2608 (208*2π)/18369 weeks
209.14311 .31966 (209*2π)/18369 weeks
210.11106 -.46211 (210*2π)/18369 weeks
211-.21565 .31649 (211*2π)/18369 weeks
212.26447 -.14034 (212*2π)/18369 weeks
213-.25878 -.08134 (213*2π)/18369 weeks
214.14141 .16714 (214*2π)/18369 weeks
215.04378 -.21002 (215*2π)/18369 weeks
216-.13529 .23696 (216*2π)/18369 weeks
217.15637 -.23683 (217*2π)/18368 weeks
218-.30213 .13912 (218*2π)/18368 weeks
219.35557 .06183 (219*2π)/18368 weeks
220-.24661 -.15973 (220*2π)/18368 weeks
221.10484 .16658 (221*2π)/18368 weeks
222.12955 -.12515 (222*2π)/18368 weeks
223-.3078 .02896 (223*2π)/18368 weeks
224.07477 -.03756 (224*2π)/18368 weeks
225-.09687 -.15704 (225*2π)/18368 weeks
226-.0641 .24568 (226*2π)/18368 weeks
227.13368 -.1805 (227*2π)/18368 weeks
228-.06044 .0942 (228*2π)/18368 weeks
229.16409 .11478 (229*2π)/18368 weeks
230-.02207 -.14731 (230*2π)/18368 weeks
231-.0752 .06474 (231*2π)/18368 weeks
232.16804 -.16371 (232*2π)/18368 weeks
233-.35627 .10514 (233*2π)/18368 weeks
234.23615 .07798 (234*2π)/18368 weeks
235-.20688 -.1689 (235*2π)/18368 weeks
236.14859 .05624 (236*2π)/18368 weeks
237-.00264 -.14455 (237*2π)/18368 weeks
238-.25504 .022 (238*2π)/18368 weeks
239.27953 -.16572 (239*2π)/18368 weeks
240-.2287 -.07799 (240*2π)/18368 weeks
241.19795 .1899 (241*2π)/18368 weeks
242-.17412 -.21648 (242*2π)/18368 weeks
243-.00358 .2747 (243*2π)/18368 weeks
244.12676 -.27535 (244*2π)/18368 weeks
245-.2519 .23978 (245*2π)/18367 weeks
246.21756 -.04643 (246*2π)/18367 weeks
247-.24625 -.0438 (247*2π)/18367 weeks
248.25401 .16251 (248*2π)/18367 weeks
249-.09526 -.21069 (249*2π)/18367 weeks
250-.15976 .08257 (250*2π)/18367 weeks
251.12828 -.04333 (251*2π)/18367 weeks
252-.05696 .01679 (252*2π)/18367 weeks
253.05523 .20129 (253*2π)/18367 weeks
254.12329 -.20237 (254*2π)/18367 weeks
255-.13295 .04307 (255*2π)/18367 weeks
256.09504 -.11174 (256*2π)/18367 weeks
257-.14921 -.20664 (257*2π)/18367 weeks
258.09182 .25131 (258*2π)/18367 weeks
259-.0574 -.28977 (259*2π)/18367 weeks
260-.04373 .14567 (260*2π)/18367 weeks
261.18595 -.053 (261*2π)/18367 weeks
262-.26494 .00327 (262*2π)/18367 weeks
263.15641 .06152 (263*2π)/18367 weeks
264.02546 -.03287 (264*2π)/18367 weeks
265.06953 .04854 (265*2π)/18367 weeks
266.0928 .01498 (266*2π)/18367 weeks
267-.10638 -.05029 (267*2π)/18367 weeks
268.03751 .02672 (268*2π)/18367 weeks
269.09357 -.13847 (269*2π)/18367 weeks
270-.0792 .0814 (270*2π)/18367 weeks
271.06229 -.06916 (271*2π)/18367 weeks
272-.12967 -.03098 (272*2π)/18367 weeks
273.2159 .16146 (273*2π)/18367 weeks
274-.07515 -.27357 (274*2π)/18367 weeks
275-.03883 .22051 (275*2π)/18367 weeks
276.14436 -.22665 (276*2π)/18367 weeks
277-.1632 .11791 (277*2π)/18367 weeks
278.04301 -.0464 (278*2π)/18367 weeks
279-.23434 -.18621 (279*2π)/18367 weeks
280.15934 .24948 (280*2π)/18367 weeks
281.01021 -.3862 (281*2π)/18367 weeks
282-.21098 .22135 (282*2π)/18367 weeks
283.29472 -.17791 (283*2π)/18366 weeks
284-.32377 .03866 (284*2π)/18366 weeks
285.10943 .06032 (285*2π)/18366 weeks
286-.06913 -.1281 (286*2π)/18366 weeks
287-.1504 .09179 (287*2π)/18366 weeks
288.15192 .05749 (288*2π)/18366 weeks
289-.1143 -.1149 (289*2π)/18366 weeks
290.09496 .13384 (290*2π)/18366 weeks
291-.03789 -.14378 (291*2π)/18366 weeks
292-.15839 .14433 (292*2π)/18366 weeks
293.08013 -.09098 (293*2π)/18366 weeks
294-.1935 -.1377 (294*2π)/18366 weeks
295.01886 .11898 (295*2π)/18366 weeks
296-.07902 -.11353 (296*2π)/18366 weeks
297.03427 .19105 (297*2π)/18366 weeks
298.00847 -.12291 (298*2π)/18366 weeks
299-.09933 .0424 (299*2π)/18366 weeks
300.04991 -.03631 (300*2π)/18366 weeks
301-.07168 -.01479 (301*2π)/18366 weeks
302-.06027 .24861 (302*2π)/18366 weeks
303-.03776 -.17068 (303*2π)/18366 weeks
304-.073 .24775 (304*2π)/18366 weeks
305.06392 .0687 (305*2π)/18366 weeks
306-.05762 .05427 (306*2π)/18366 weeks
307.11338 .09977 (307*2π)/18366 weeks
308.06368 -.0828 (308*2π)/18366 weeks
309-.07197 .06582 (309*2π)/18366 weeks
310.14587 -.14195 (310*2π)/18366 weeks
311-.22134 -.12987 (311*2π)/18366 weeks
312.25968 .07416 (312*2π)/18366 weeks
313-.17248 -.2275 (313*2π)/18366 weeks
314-.01291 .22719 (314*2π)/18366 weeks
315.19158 -.0742 (315*2π)/18366 weeks
316-.27156 .05821 (316*2π)/18366 weeks
317.1894 .05302 (317*2π)/18366 weeks
318-.01188 -.16817 (318*2π)/18366 weeks
319.03405 .26494 (319*2π)/18366 weeks
320.0537 -.21994 (320*2π)/18366 weeks
321-.06734 .10444 (321*2π)/18366 weeks
322.1246 -.06913 (322*2π)/18366 weeks
323-.11155 -.06054 (323*2π)/18366 weeks
324.01096 .08619 (324*2π)/18366 weeks
325.04988 -.13481 (325*2π)/18366 weeks
326-.12892 .17956 (326*2π)/18366 weeks
327.11177 -.0116 (327*2π)/18366 weeks
328-.06383 -.03537 (328*2π)/18366 weeks
329-.01087 .03088 (329*2π)/18366 weeks
330.05176 .00377 (330*2π)/18366 weeks
331-.02654 -.02866 (331*2π)/18366 weeks
332.01182 .0958 (332*2π)/18366 weeks
333-.10974 -.16991 (333*2π)/18366 weeks
334-.03803 .27595 (334*2π)/18365 weeks
335.07313 -.21059 (335*2π)/18365 weeks
336-.06448 .17876 (336*2π)/18365 weeks
337.17934 -.0834 (337*2π)/18365 weeks
338-.06457 .00725 (338*2π)/18365 weeks
339.00002 .09237 (339*2π)/18365 weeks
340.00991 -.15733 (340*2π)/18365 weeks
341-.05125 .16922 (341*2π)/18365 weeks
342.24829 -.09785 (342*2π)/18365 weeks
343-.17793 .00346 (343*2π)/18365 weeks
344.1793 .10633 (344*2π)/18365 weeks
345-.10946 -.18245 (345*2π)/18365 weeks
346-.08776 .16116 (346*2π)/18365 weeks
347.16088 -.03867 (347*2π)/18365 weeks
348-.18105 -.03281 (348*2π)/18365 weeks
349.17887 .07282 (349*2π)/18365 weeks
350-.12267 -.17738 (350*2π)/18365 weeks
351.04101 .21467 (351*2π)/18365 weeks
352.11155 -.19882 (352*2π)/18365 weeks
353-.08318 .09347 (353*2π)/18365 weeks
354.04346 -.20188 (354*2π)/18365 weeks
355-.11652 .08401 (355*2π)/18365 weeks
356.09282 -.10387 (356*2π)/18365 weeks
357-.2472 -.05594 (357*2π)/18365 weeks
358-.04988 .07382 (358*2π)/18365 weeks
359-.02699 .00648 (359*2π)/18365 weeks
360-.13395 .0819 (360*2π)/18365 weeks
361.10583 .03925 (361*2π)/18365 weeks
362-.08494 -.06623 (362*2π)/18365 weeks
363.00235 .19553 (363*2π)/18365 weeks
364.17977 -.0443 (364*2π)/18365 weeks
365-.08116 -.00707 (365*2π)/18365 weeks
366.25978 .01633 (366*2π)/18365 weeks
367-.17744 -.14897 (367*2π)/18365 weeks
368.04474 .24741 (368*2π)/18365 weeks
369.09689 -.25792 (369*2π)/18365 weeks
370-.19551 .16241 (370*2π)/18365 weeks
371.19282 -.15498 (371*2π)/18365 weeks
372-.26458 -.02009 (372*2π)/18365 weeks
373.16415 .05457 (373*2π)/18365 weeks
374-.18051 -.12477 (374*2π)/18365 weeks
375.05377 .13997 (375*2π)/18365 weeks
376-.06176 -.12628 (376*2π)/18365 weeks
377-.01679 .08425 (377*2π)/18365 weeks
378.05473 -.09013 (378*2π)/18365 weeks
379-.05339 .0064 (379*2π)/18365 weeks
380.04612 .04125 (380*2π)/18365 weeks
381.07132 -.01435 (381*2π)/18365 weeks
382-.04152 -.03976 (382*2π)/18365 weeks
383.14261 -.00325 (383*2π)/18365 weeks
384-.08111 -.05777 (384*2π)/18365 weeks
385.00769 .09508 (385*2π)/18365 weeks
386-.01785 -.03556 (386*2π)/18365 weeks
387.03518 .1174 (387*2π)/18365 weeks
388.02085 -.00398 (388*2π)/18365 weeks
389-.07869 -.0533 (389*2π)/18365 weeks
390-.09867 .09035 (390*2π)/18365 weeks
391.11478 -.16116 (391*2π)/18365 weeks
392-.08552 .21143 (392*2π)/18365 weeks
393.12515 -.07178 (393*2π)/18365 weeks
394-.17826 .03327 (394*2π)/18365 weeks
395.12306 .10325 (395*2π)/18365 weeks
396-.06312 -.04589 (396*2π)/18365 weeks
397-.02583 .18327 (397*2π)/18365 weeks
398.16942 -.11245 (398*2π)/18365 weeks
399-.14484 .00743 (399*2π)/18365 weeks
400.07515 -.01774 (400*2π)/18365 weeks
401-.05703 -.05764 (401*2π)/18365 weeks
402-.00983 .02767 (402*2π)/18365 weeks
403.01744 -.01437 (403*2π)/18365 weeks
404-.02956 -.04791 (404*2π)/18365 weeks
405.04559 .10304 (405*2π)/18365 weeks
406.0423