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# Fourier Analysis of MDSI (MATRIX DENTURE SYSTE)

MDSI (MATRIX DENTURE SYSTE) appears to have interesting cyclic behaviour every 34 weeks (9041.908*sine), 31 weeks (6481.42*sine), and 34 weeks (5418.005*cosine).

MDSI (MATRIX DENTURE SYSTE) has an average price of 13,052.95 (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 11/22/1999 to 10/14/2013 for MDSI (MATRIX DENTURE SYSTE), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013,052.95   0
125,017.55 5,988.333 (1*2π)/338338 weeks
222,394.26 11,030.94 (2*2π)/338169 weeks
318,679.45 15,065.11 (3*2π)/338113 weeks
414,148.28 17,825.84 (4*2π)/33885 weeks
59,159.678 19,135.41 (5*2π)/33868 weeks
64,273.745 18,775.43 (6*2π)/33856 weeks
7246.7268 17,037.14 (7*2π)/33848 weeks
8-2,637.201 14,588.19 (8*2π)/33842 weeks
9-4,516.818 11,858.9 (9*2π)/33838 weeks
10-5,418.005 9,041.908 (10*2π)/33834 weeks
11-5,360.266 6,481.42 (11*2π)/33831 weeks
12-4,562.468 4,519.163 (12*2π)/33828 weeks
13-3,430.127 3,358.311 (13*2π)/33826 weeks
14-2,393.214 2,894.745 (14*2π)/33824 weeks
15-1,648.579 2,836.935 (15*2π)/33823 weeks
16-1,160.242 2,993.337 (16*2π)/33821 weeks
17-962.3564 3,320.474 (17*2π)/33820 weeks
18-1,141.905 3,637.097 (18*2π)/33819 weeks
19-1,595.259 3,697.521 (19*2π)/33818 weeks
20-2,059.397 3,412.872 (20*2π)/33817 weeks
21-2,321.262 2,917.646 (21*2π)/33816 weeks
22-2,374.707 2,402.299 (22*2π)/33815 weeks
23-2,293.609 1,902.729 (23*2π)/33815 weeks
24-2,033.972 1,436.882 (24*2π)/33814 weeks
25-1,593.449 1,134.754 (25*2π)/33814 weeks
26-1,098.063 1,107.265 (26*2π)/33813 weeks
27-738.7239 1,325.331 (27*2π)/33813 weeks
28-591.957 1,633.816 (28*2π)/33812 weeks
29-614.0089 1,933.278 (29*2π)/33812 weeks
30-779.0599 2,196.351 (30*2π)/33811 weeks
31-1,085.831 2,363.02 (31*2π)/33811 weeks
32-1,478.023 2,359.74 (32*2π)/33811 weeks
33-1,844.377 2,145.923 (33*2π)/33810 weeks
34-2,054.418 1,793.962 (34*2π)/33810 weeks
35-2,102.935 1,428.422 (35*2π)/33810 weeks
36-2,028.183 1,095.188 (36*2π)/3389 weeks
37-1,840.685 830.2142 (37*2π)/3389 weeks
38-1,571.221 695.4493 (38*2π)/3389 weeks
39-1,309.357 727.4125 (39*2π)/3389 weeks
40-1,149.956 889.5977 (40*2π)/3388 weeks
41-1,136.494 1,096.321 (41*2π)/3388 weeks
42-1,254.79 1,277.502 (42*2π)/3388 weeks
43-1,481.658 1,384.978 (43*2π)/3388 weeks
44-1,783.2 1,374.39 (44*2π)/3388 weeks
45-2,096.874 1,203.139 (45*2π)/3388 weeks
46-2,326.491 884.1894 (46*2π)/3387 weeks
47-2,419.616 480.2773 (47*2π)/3387 weeks
48-2,349.176 55.80889 (48*2π)/3387 weeks
49-2,123.938 -309.1251 (49*2π)/3387 weeks
50-1,789.939 -562.472 (50*2π)/3387 weeks
51-1,390.877 -673.6627 (51*2π)/3387 weeks
52-987.8745 -613.2395 (52*2π)/3387 weeks
53-667.8516 -388.5724 (53*2π)/3386 weeks
54-503.5404 -66.81281 (54*2π)/3386 weeks
55-500.2823 263.85 (55*2π)/3386 weeks
56-635.884 552.9401 (56*2π)/3386 weeks
57-886.4759 752.0317 (57*2π)/3386 weeks
58-1,210.569 826.7333 (58*2π)/3386 weeks
59-1,556.905 741.4775 (59*2π)/3386 weeks
60-1,830.693 499.8752 (60*2π)/3386 weeks
61-1,974.315 176.047 (61*2π)/3386 weeks
62-1,991.439 -166.1469 (62*2π)/3385 weeks
63-1,893.923 -486.8727 (63*2π)/3385 weeks
64-1,699.788 -755.4633 (64*2π)/3385 weeks
65-1,418.665 -938.1432 (65*2π)/3385 weeks
66-1,101.938 -982.4235 (66*2π)/3385 weeks
67-836.8979 -903.9247 (67*2π)/3385 weeks
68-655.7115 -764.108 (68*2π)/3385 weeks
69-546.2123 -604.6367 (69*2π)/3385 weeks
70-498.8938 -430.3828 (70*2π)/3385 weeks
71-534.0337 -260.7644 (71*2π)/3385 weeks
72-641.1214 -146.7136 (72*2π)/3385 weeks
73-771.6017 -108.4574 (73*2π)/3385 weeks
74-888.9163 -131.5475 (74*2π)/3385 weeks
75-978.94 -188.4952 (75*2π)/3385 weeks
76-1,053.955 -267.817 (76*2π)/3384 weeks
77-1,104.736 -380.4624 (77*2π)/3384 weeks
78-1,112.588 -508.2481 (78*2π)/3384 weeks
79-1,083.02 -632.7723 (79*2π)/3384 weeks
80-1,022.993 -744.6645 (80*2π)/3384 weeks
81-941.4954 -839.6541 (81*2π)/3384 weeks
82-843.0276 -921.0795 (82*2π)/3384 weeks
83-719.7419 -985.8469 (83*2π)/3384 weeks
84-574.7903 -1,017.107 (84*2π)/3384 weeks
85-421.111 -1,006.713 (85*2π)/3384 weeks
86-273.9427 -946.9774 (86*2π)/3384 weeks
87-158.3744 -845.3948 (87*2π)/3384 weeks
88-77.65583 -720.9959 (88*2π)/3384 weeks
89-33.46832 -569.6181 (89*2π)/3384 weeks
90-54.5603 -400.7739 (90*2π)/3384 weeks
91-148.6681 -254.1781 (91*2π)/3384 weeks
92-299.7397 -161.2219 (92*2π)/3384 weeks
93-476.3206 -143.2008 (93*2π)/3384 weeks
94-645.3016 -193.4226 (94*2π)/3384 weeks
95-798.0657 -304.2842 (95*2π)/3384 weeks
96-910.1686 -485.8364 (96*2π)/3384 weeks
97-939.095 -713.9117 (97*2π)/3383 weeks
98-876.8865 -942.6761 (98*2π)/3383 weeks
99-731.6173 -1,137.952 (99*2π)/3383 weeks
100-529.5787 -1,268.448 (100*2π)/3383 weeks
101-299.3543 -1,332.662 (101*2π)/3383 weeks
102-50.54724 -1,321.103 (102*2π)/3383 weeks
103180.8212 -1,218.085 (103*2π)/3383 weeks
104352.9483 -1,043.483 (104*2π)/3383 weeks
105446.8086 -830.3133 (105*2π)/3383 weeks
106459.8688 -613.3725 (106*2π)/3383 weeks
107404.7822 -415.2641 (107*2π)/3383 weeks
108285.1089 -251.7774 (108*2π)/3383 weeks
109115.2457 -151.0264 (109*2π)/3383 weeks
110-74.32555 -127.794 (110*2π)/3383 weeks
111-248.8633 -180.9155 (111*2π)/3383 weeks
112-385.641 -289.7412 (112*2π)/3383 weeks
113-477.0105 -442.3236 (113*2π)/3383 weeks
114-503.1093 -624.264 (114*2π)/3383 weeks
115-458.6485 -803.104 (115*2π)/3383 weeks
116-353.6837 -956.4519 (116*2π)/3383 weeks
117-200.5259 -1,065.288 (117*2π)/3383 weeks
118-18.82404 -1,116.922 (118*2π)/3383 weeks
119172.1853 -1,103.78 (119*2π)/3383 weeks
120344.2856 -1,023.661 (120*2π)/3383 weeks
121472.2128 -892.975 (121*2π)/3383 weeks
122543.371 -733.0474 (122*2π)/3383 weeks
123552.8076 -566.8942 (123*2π)/3383 weeks
124503.6521 -414.1796 (124*2π)/3383 weeks
125398.7274 -297.6418 (125*2π)/3383 weeks
126260.6995 -241.7 (126*2π)/3383 weeks
127117.1253 -252.6628 (127*2π)/3383 weeks
1281.82494 -327.4863 (128*2π)/3383 weeks
129-67.91324 -434.6399 (129*2π)/3383 weeks
130-97.53954 -568.2546 (130*2π)/3383 weeks
131-61.96374 -716.4876 (131*2π)/3383 weeks
13239.862 -840.8757 (132*2π)/3383 weeks
133190.2255 -912.7711 (133*2π)/3383 weeks
134350.5348 -917.3942 (134*2π)/3383 weeks
135497.1805 -877.6157 (135*2π)/3383 weeks
136635.1293 -793.7125 (136*2π)/3382 weeks
137737.8881 -657.8588 (137*2π)/3382 weeks
138779.7616 -494.4059 (138*2π)/3382 weeks
139755.4413 -336.5876 (139*2π)/3382 weeks
140684.5275 -214.6785 (140*2π)/3382 weeks
141592.3267 -126.7166 (141*2π)/3382 weeks
142477.0302 -71.76728 (142*2π)/3382 weeks
143349.854 -67.30578 (143*2π)/3382 weeks
144237.5282 -115.6046 (144*2π)/3382 weeks
145163.1337 -201.5414 (145*2π)/3382 weeks
146132.3737 -298.5984 (146*2π)/3382 weeks
147134.1401 -392.5257 (147*2π)/3382 weeks
148161.877 -481.2991 (148*2π)/3382 weeks
149218.2965 -562.6903 (149*2π)/3382 weeks
150303.5619 -619.5848 (150*2π)/3382 weeks
151394.7552 -643.7838 (151*2π)/3382 weeks
152482.412 -649.9451 (152*2π)/3382 weeks
153569.1428 -642.1711 (153*2π)/3382 weeks
154658.0583 -623.9971 (154*2π)/3382 weeks
155754.8632 -584.9455 (155*2π)/3382 weeks
156842.4389 -516.9412 (156*2π)/3382 weeks
157914.0626 -433.6258 (157*2π)/3382 weeks
158973.9047 -333.748 (158*2π)/3382 weeks
1591,015.392 -215.5129 (159*2π)/3382 weeks
1601,029.143 -76.66321 (160*2π)/3382 weeks
161994.9078 69.08517 (161*2π)/3382 weeks
162916.9455 194.0531 (162*2π)/3382 weeks
163810.2393 288.7664 (163*2π)/3382 weeks
164683.5226 350.8285 (164*2π)/3382 weeks
165539.1193 373.3934 (165*2π)/3382 weeks
166391.7779 340.399 (166*2π)/3382 weeks
167272.2715 251.9961 (167*2π)/3382 weeks
168201.4174 131.2615 (168*2π)/3382 weeks
169178.6608   (169*2π)/3382 weeks
170201.4174 -131.2615 (170*2π)/3382 weeks
171272.2715 -251.9961 (171*2π)/3382 weeks
172391.7779 -340.399 (172*2π)/3382 weeks
173539.1193 -373.3934 (173*2π)/3382 weeks
174683.5226 -350.8285 (174*2π)/3382 weeks
175810.2393 -288.7664 (175*2π)/3382 weeks
176916.9455 -194.0531 (176*2π)/3382 weeks
177994.9078 -69.08517 (177*2π)/3382 weeks
1781,029.143 76.66321 (178*2π)/3382 weeks
1791,015.392 215.5129 (179*2π)/3382 weeks
180973.9047 333.748 (180*2π)/3382 weeks
181914.0626 433.6258 (181*2π)/3382 weeks
182842.4389 516.9412 (182*2π)/3382 weeks
183754.8632 584.9455 (183*2π)/3382 weeks
184658.0583 623.9971 (184*2π)/3382 weeks
185569.1428 642.1711 (185*2π)/3382 weeks
186482.412 649.9451 (186*2π)/3382 weeks
187394.7552 643.7838 (187*2π)/3382 weeks
188303.5619 619.5848 (188*2π)/3382 weeks
189218.2965 562.6903 (189*2π)/3382 weeks
190161.877 481.2991 (190*2π)/3382 weeks
191134.1401 392.5257 (191*2π)/3382 weeks
192132.3737 298.5984 (192*2π)/3382 weeks
193163.1337 201.5414 (193*2π)/3382 weeks
194237.5282 115.6046 (194*2π)/3382 weeks
195349.854 67.30578 (195*2π)/3382 weeks
196477.0302 71.76728 (196*2π)/3382 weeks
197592.3267 126.7166 (197*2π)/3382 weeks
198684.5275 214.6785 (198*2π)/3382 weeks
199755.4413 336.5876 (199*2π)/3382 weeks
200779.7616 494.4059 (200*2π)/3382 weeks
201737.8881 657.8588 (201*2π)/3382 weeks
202635.1293 793.7125 (202*2π)/3382 weeks
203497.1805 877.6157 (203*2π)/3382 weeks
204350.5348 917.3942 (204*2π)/3382 weeks
205190.2255 912.7711 (205*2π)/3382 weeks
20639.862 840.8757 (206*2π)/3382 weeks
207-61.96374 716.4876 (207*2π)/3382 weeks
208-97.53954 568.2546 (208*2π)/3382 weeks
209-67.91324 434.6399 (209*2π)/3382 weeks
2101.82494 327.4863 (210*2π)/3382 weeks
211117.1253 252.6628 (211*2π)/3382 weeks
212260.6995 241.7 (212*2π)/3382 weeks
213398.7274 297.6418 (213*2π)/3382 weeks
214503.6521 414.1796 (214*2π)/3382 weeks
215552.8076 566.8942 (215*2π)/3382 weeks
216543.371 733.0474 (216*2π)/3382 weeks
217472.2128 892.975 (217*2π)/3382 weeks
218344.2856 1,023.661 (218*2π)/3382 weeks
219172.1853 1,103.78 (219*2π)/3382 weeks
220-18.82404 1,116.922 (220*2π)/3382 weeks
221-200.5259 1,065.288 (221*2π)/3382 weeks
222-353.6837 956.4519 (222*2π)/3382 weeks
223-458.6485 803.104 (223*2π)/3382 weeks
224-503.1093 624.264 (224*2π)/3382 weeks
225-477.0105 442.3236 (225*2π)/3382 weeks
226-385.641 289.7412 (226*2π)/3381 weeks
227-248.8633 180.9155 (227*2π)/3381 weeks
228-74.32555 127.794 (228*2π)/3381 weeks
229115.2457 151.0264 (229*2π)/3381 weeks
230285.1089 251.7774 (230*2π)/3381 weeks
231404.7822 415.2641 (231*2π)/3381 weeks
232459.8688 613.3725 (232*2π)/3381 weeks
233446.8086 830.3133 (233*2π)/3381 weeks
234352.9483 1,043.483 (234*2π)/3381 weeks
235180.8212 1,218.085 (235*2π)/3381 weeks
236-50.54724 1,321.103 (236*2π)/3381 weeks
237-299.3543 1,332.662 (237*2π)/3381 weeks
238-529.5787 1,268.448 (238*2π)/3381 weeks
239-731.6173 1,137.952 (239*2π)/3381 weeks
240-876.8865 942.6761 (240*2π)/3381 weeks
241-939.095 713.9117 (241*2π)/3381 weeks
242-910.1686 485.8364 (242*2π)/3381 weeks
243-798.0657 304.2842 (243*2π)/3381 weeks
244-645.3016 193.4226 (244*2π)/3381 weeks
245-476.3206 143.2008 (245*2π)/3381 weeks
246-299.7397 161.2219 (246*2π)/3381 weeks
247-148.6681 254.1781 (247*2π)/3381 weeks
248-54.5603 400.7739 (248*2π)/3381 weeks
249-33.46832 569.6181 (249*2π)/3381 weeks
250-77.65583 720.9959 (250*2π)/3381 weeks
251-158.3744 845.3948 (251*2π)/3381 weeks
252-273.9427 946.9774 (252*2π)/3381 weeks
253-421.111 1,006.713 (253*2π)/3381 weeks
254-574.7903 1,017.107 (254*2π)/3381 weeks
255-719.7419 985.8469 (255*2π)/3381 weeks
256-843.0276 921.0795 (256*2π)/3381 weeks
257-941.4954 839.6541 (257*2π)/3381 weeks
258-1,022.993 744.6645 (258*2π)/3381 weeks
259-1,083.02 632.7723 (259*2π)/3381 weeks
260-1,112.588 508.2481 (260*2π)/3381 weeks
261-1,104.736 380.4624 (261*2π)/3381 weeks
262-1,053.955 267.817 (262*2π)/3381 weeks
263-978.94 188.4952 (263*2π)/3381 weeks
264-888.9163 131.5475 (264*2π)/3381 weeks
265-771.6017 108.4574 (265*2π)/3381 weeks
266-641.1214 146.7136 (266*2π)/3381 weeks
267-534.0337 260.7644 (267*2π)/3381 weeks
268-498.8938 430.3828 (268*2π)/3381 weeks
269-546.2123 604.6367 (269*2π)/3381 weeks
270-655.7115 764.108 (270*2π)/3381 weeks
271-836.8979 903.9247 (271*2π)/3381 weeks
272-1,101.938 982.4235 (272*2π)/3381 weeks
273-1,418.665 938.1432 (273*2π)/3381 weeks
274-1,699.788 755.4633 (274*2π)/3381 weeks
275-1,893.923 486.8727 (275*2π)/3381 weeks
276-1,991.439 166.1469 (276*2π)/3381 weeks
277-1,974.315 -176.047 (277*2π)/3381 weeks
278-1,830.693 -499.8752 (278*2π)/3381 weeks
279-1,556.905 -741.4775 (279*2π)/3381 weeks
280-1,210.569 -826.7333 (280*2π)/3381 weeks
281-886.4759 -752.0317 (281*2π)/3381 weeks
282-635.884 -552.9401 (282*2π)/3381 weeks
283-500.2823 -263.85 (283*2π)/3381 weeks
284-503.5404 66.81281 (284*2π)/3381 weeks
285-667.8516 388.5724 (285*2π)/3381 weeks
286-987.8745 613.2395 (286*2π)/3381 weeks
287-1,390.877 673.6627 (287*2π)/3381 weeks
288-1,789.939 562.472 (288*2π)/3381 weeks
289-2,123.938 309.1251 (289*2π)/3381 weeks
290-2,349.176 -55.80889 (290*2π)/3381 weeks
291-2,419.616 -480.2773 (291*2π)/3381 weeks
292-2,326.491 -884.1894 (292*2π)/3381 weeks
293-2,096.874 -1,203.139 (293*2π)/3381 weeks
294-1,783.2 -1,374.39 (294*2π)/3381 weeks
295-1,481.658 -1,384.978 (295*2π)/3381 weeks
296-1,254.79 -1,277.502 (296*2π)/3381 weeks
297-1,136.494 -1,096.321 (297*2π)/3381 weeks
298-1,149.956 -889.5977 (298*2π)/3381 weeks
299-1,309.357 -727.4125 (299*2π)/3381 weeks
300-1,571.221 -695.4493 (300*2π)/3381 weeks
301-1,840.685 -830.2142 (301*2π)/3381 weeks
302-2,028.183 -1,095.188 (302*2π)/3381 weeks
303-2,102.935 -1,428.422 (303*2π)/3381 weeks
304-2,054.418 -1,793.962 (304*2π)/3381 weeks
305-1,844.377 -2,145.923 (305*2π)/3381 weeks
306-1,478.023 -2,359.74 (306*2π)/3381 weeks
307-1,085.831 -2,363.02 (307*2π)/3381 weeks
308-779.0599 -2,196.351 (308*2π)/3381 weeks
309-614.0089 -1,933.278 (309*2π)/3381 weeks
310-591.957 -1,633.816 (310*2π)/3381 weeks
311-738.7239 -1,325.331 (311*2π)/3381 weeks
312-1,098.063 -1,107.265 (312*2π)/3381 weeks
313-1,593.449 -1,134.754 (313*2π)/3381 weeks
314-2,033.972 -1,436.882 (314*2π)/3381 weeks
315-2,293.609 -1,902.729 (315*2π)/3381 weeks
316-2,374.707 -2,402.299 (316*2π)/3381 weeks
317-2,321.262 -2,917.646 (317*2π)/3381 weeks
318-2,059.397 -3,412.872 (318*2π)/3381 weeks
319-1,595.259 -3,697.521 (319*2π)/3381 weeks
320-1,141.905 -3,637.097 (320*2π)/3381 weeks
321-962.3564 -3,320.474 (321*2π)/3381 weeks
322-1,160.242 -2,993.337 (322*2π)/3381 weeks
323-1,648.579 -2,836.935 (323*2π)/3381 weeks
324-2,393.214 -2,894.745 (324*2π)/3381 weeks
325-3,430.127 -3,358.311 (325*2π)/3381 weeks
326-4,562.468 -4,519.163 (326*2π)/3381 weeks
327-5,360.266 -6,481.42 (327*2π)/3381 weeks
328-5,418.005 -9,041.908 (328*2π)/3381 weeks
329-4,516.818 -11,858.9 (329*2π)/3381 weeks
330-2,637.201 -14,588.19 (330*2π)/3381 weeks
331246.7268 -17,037.14 (331*2π)/3381 weeks
3324,273.745 -18,775.43 (332*2π)/3381 weeks
3339,159.678 -19,135.41 (333*2π)/3381 weeks
33414,148.28 -17,825.84 (334*2π)/3381 weeks
33518,679.45 -15,065.11 (335*2π)/3381 weeks
33622,394.26 -11,030.94 (336*2π)/3381 weeks