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# Fourier Analysis of CSVI (Computer Services)

CSVI (Computer Services) appears to have interesting cyclic behaviour every 11 weeks (.5483*sine), 6 weeks (.436*sine), and 8 weeks (.331*cosine).

CSVI (Computer Services) has an average price of 41.41 (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 1/4/2016 to 6/4/2018 for CSVI (Computer Services), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
041.40617   0
1-1.30607 -5.82024 (1*2π)/123123 weeks
2.32675 -1.16428 (2*2π)/12362 weeks
3.01431 -1.12835 (3*2π)/12341 weeks
4.3709 -1.20041 (4*2π)/12331 weeks
5.50214 -.9719 (5*2π)/12325 weeks
6-.22082 -1.35721 (6*2π)/12321 weeks
7-.0306 -.53444 (7*2π)/12318 weeks
8.10061 -.84668 (8*2π)/12315 weeks
9-.23324 -.59187 (9*2π)/12314 weeks
10-.01025 -.13892 (10*2π)/12312 weeks
11-.13007 -.54835 (11*2π)/12311 weeks
12-.04258 -.1621 (12*2π)/12310 weeks
13.02842 -.14082 (13*2π)/1239 weeks
14-.16489 -.12081 (14*2π)/1239 weeks
15-.33097 -.28335 (15*2π)/1238 weeks
16-.00768 -.21241 (16*2π)/1238 weeks
17-.16932 -.25651 (17*2π)/1237 weeks
18-.00078 -.11796 (18*2π)/1237 weeks
19-.19105 -.43599 (19*2π)/1236 weeks
20-.17403 -.21131 (20*2π)/1236 weeks
21-.1567 -.24865 (21*2π)/1236 weeks
22-.18676 -.26032 (22*2π)/1236 weeks
23-.12752 -.11453 (23*2π)/1235 weeks
24-.27811 -.14059 (24*2π)/1235 weeks
25-.02469 -.13568 (25*2π)/1235 weeks
26-.22339 -.08458 (26*2π)/1235 weeks
27-.16522 -.18123 (27*2π)/1235 weeks
28-.15149 -.16949 (28*2π)/1234 weeks
29.01852 -.1075 (29*2π)/1234 weeks
30-.12214 -.07278 (30*2π)/1234 weeks
31-.10542 -.01294 (31*2π)/1234 weeks
32-.10901 -.26243 (32*2π)/1234 weeks
33-.15063 -.13295 (33*2π)/1234 weeks
34-.12053 -.12267 (34*2π)/1234 weeks
35-.25149 -.13793 (35*2π)/1234 weeks
36-.16303 -.19705 (36*2π)/1233 weeks
37-.13071 -.0823 (37*2π)/1233 weeks
38-.06879 -.12506 (38*2π)/1233 weeks
39-.1747 -.15485 (39*2π)/1233 weeks
40-.23591 .00061 (40*2π)/1233 weeks
41.02063 -.07363 (41*2π)/1233 weeks
42.00906 .00391 (42*2π)/1233 weeks
43-.14391 .0423 (43*2π)/1233 weeks
44-.05612 -.16028 (44*2π)/1233 weeks
45-.07838 -.09471 (45*2π)/1233 weeks
46-.08643 -.20067 (46*2π)/1233 weeks
47-.31178 -.03187 (47*2π)/1233 weeks
48-.08223 -.14431 (48*2π)/1233 weeks
49-.04812 -.14081 (49*2π)/1233 weeks
50-.13399 -.1492 (50*2π)/1232 weeks
51-.04556 .01924 (51*2π)/1232 weeks
52-.09254 .05 (52*2π)/1232 weeks
53-.09245 -.01108 (53*2π)/1232 weeks
54-.05011 .01115 (54*2π)/1232 weeks
55-.20448 -.07768 (55*2π)/1232 weeks
56-.15086 .02694 (56*2π)/1232 weeks
57-.00762 -.09921 (57*2π)/1232 weeks
58-.15849 -.15011 (58*2π)/1232 weeks
59-.04501 -.04162 (59*2π)/1232 weeks
60.0715 -.09298 (60*2π)/1232 weeks
61-.03355 .01558 (61*2π)/1232 weeks
62-.03355 -.01558 (62*2π)/1232 weeks
63.0715 .09298 (63*2π)/1232 weeks
64-.04501 .04162 (64*2π)/1232 weeks
65-.15849 .15011 (65*2π)/1232 weeks
66-.00762 .09921 (66*2π)/1232 weeks
67-.15086 -.02694 (67*2π)/1232 weeks
68-.20448 .07768 (68*2π)/1232 weeks
69-.05011 -.01115 (69*2π)/1232 weeks
70-.09245 .01108 (70*2π)/1232 weeks
71-.09254 -.05 (71*2π)/1232 weeks
72-.04556 -.01924 (72*2π)/1232 weeks
73-.13399 .1492 (73*2π)/1232 weeks
74-.04812 .14081 (74*2π)/1232 weeks
75-.08223 .14431 (75*2π)/1232 weeks
76-.31178 .03187 (76*2π)/1232 weeks
77-.08643 .20067 (77*2π)/1232 weeks
78-.07838 .09471 (78*2π)/1232 weeks
79-.05612 .16028 (79*2π)/1232 weeks
80-.14391 -.0423 (80*2π)/1232 weeks
81.00906 -.00391 (81*2π)/1232 weeks
82.02063 .07363 (82*2π)/1232 weeks
83-.23591 -.00061 (83*2π)/1231 weeks
84-.1747 .15485 (84*2π)/1231 weeks
85-.06879 .12506 (85*2π)/1231 weeks
86-.13071 .0823 (86*2π)/1231 weeks
87-.16303 .19705 (87*2π)/1231 weeks
88-.25149 .13793 (88*2π)/1231 weeks
89-.12053 .12267 (89*2π)/1231 weeks
90-.15063 .13295 (90*2π)/1231 weeks
91-.10901 .26243 (91*2π)/1231 weeks
92-.10542 .01294 (92*2π)/1231 weeks
93-.12214 .07278 (93*2π)/1231 weeks
94.01852 .1075 (94*2π)/1231 weeks
95-.15149 .16949 (95*2π)/1231 weeks
96-.16522 .18123 (96*2π)/1231 weeks
97-.22339 .08458 (97*2π)/1231 weeks
98-.02469 .13568 (98*2π)/1231 weeks
99-.27811 .14059 (99*2π)/1231 weeks
100-.12752 .11453 (100*2π)/1231 weeks
101-.18676 .26032 (101*2π)/1231 weeks
102-.1567 .24865 (102*2π)/1231 weeks
103-.17403 .21131 (103*2π)/1231 weeks
104-.19105 .43599 (104*2π)/1231 weeks
105-.00078 .11796 (105*2π)/1231 weeks
106-.16932 .25651 (106*2π)/1231 weeks
107-.00768 .21241 (107*2π)/1231 weeks
108-.33097 .28335 (108*2π)/1231 weeks
109-.16489 .12081 (109*2π)/1231 weeks
110.02842 .14082 (110*2π)/1231 weeks
111-.04258 .1621 (111*2π)/1231 weeks
112-.13007 .54835 (112*2π)/1231 weeks
113-.01025 .13892 (113*2π)/1231 weeks
114-.23324 .59187 (114*2π)/1231 weeks
115.10061 .84668 (115*2π)/1231 weeks
116-.0306 .53444 (116*2π)/1231 weeks
117-.22082 1.35721 (117*2π)/1231 weeks
118.50214 .9719 (118*2π)/1231 weeks
119.3709 1.20041 (119*2π)/1231 weeks
120.01431 1.12835 (120*2π)/1231 weeks
121.32675 1.16428 (121*2π)/1231 weeks