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Fourier Analysis of TNXP (Tonix Pharmaceuticals Holding Corp)


TNXP (Tonix Pharmaceuticals Holding Corp) appears to have interesting cyclic behaviour every 26 weeks (10.9533*sine), 29 weeks (8.949*sine), and 29 weeks (5.6297*cosine).

TNXP (Tonix Pharmaceuticals Holding Corp) has an average price of 61.87 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 5/10/2012 to 5/21/2018 for TNXP (Tonix Pharmaceuticals Holding Corp), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
061.87061   0 
1-3.13113 46.9431 (1*2π)/316316 weeks
220.8203 11.6789 (2*2π)/316158 weeks
320.23295 16.20597 (3*2π)/316105 weeks
42.25457 29.91209 (4*2π)/31679 weeks
5-1.15773 7.02734 (5*2π)/31663 weeks
64.59009 11.62772 (6*2π)/31653 weeks
75.07834 9.08064 (7*2π)/31645 weeks
81.26089 13.20813 (8*2π)/31640 weeks
9-6.5411 7.74452 (9*2π)/31635 weeks
105.46771 -1 (10*2π)/31632 weeks
115.62973 8.94897 (11*2π)/31629 weeks
12-3.67344 10.95327 (12*2π)/31626 weeks
13.10601 -1.06154 (13*2π)/31624 weeks
142.54799 6.4648 (14*2π)/31623 weeks
15.14747 3.08479 (15*2π)/31621 weeks
16-.06877 3.34642 (16*2π)/31620 weeks
172.47791 2.2181 (17*2π)/31619 weeks
182.96977 3.25971 (18*2π)/31618 weeks
19.41549 5.21141 (19*2π)/31617 weeks
20-.10714 2.75918 (20*2π)/31616 weeks
212.13238 1.4509 (21*2π)/31615 weeks
22-.85914 3.91016 (22*2π)/31614 weeks
231.45506 .52606 (23*2π)/31614 weeks
24.45465 1.65506 (24*2π)/31613 weeks
252.73546 -.4861 (25*2π)/31613 weeks
264.14643 3.28292 (26*2π)/31612 weeks
27.93989 4.38808 (27*2π)/31612 weeks
28.60518 .70464 (28*2π)/31611 weeks
292.46916 2.70565 (29*2π)/31611 weeks
30-.49864 2.69248 (30*2π)/31611 weeks
312.36971 .12811 (31*2π)/31610 weeks
32.85962 2.91933 (32*2π)/31610 weeks
33.47967 .56073 (33*2π)/31610 weeks
342.89488 1.15029 (34*2π)/3169 weeks
351.12807 1.51214 (35*2π)/3169 weeks
362.47917 .80233 (36*2π)/3169 weeks
372.32342 3.44779 (37*2π)/3169 weeks
38.24147 1.28388 (38*2π)/3168 weeks
391.19963 1.07941 (39*2π)/3168 weeks
401.62839 .88263 (40*2π)/3168 weeks
412.27125 1.57587 (41*2π)/3168 weeks
421.05377 1.42534 (42*2π)/3168 weeks
432.55299 .91832 (43*2π)/3167 weeks
441.24151 2.95219 (44*2π)/3167 weeks
451.16894 .92679 (45*2π)/3167 weeks
461.30714 1.13379 (46*2π)/3167 weeks
471.72939 1.96094 (47*2π)/3167 weeks
481.12405 1.17252 (48*2π)/3167 weeks
491.54301 1.17923 (49*2π)/3166 weeks
501.16993 .87023 (50*2π)/3166 weeks
512.51791 1.8829 (51*2π)/3166 weeks
52.24057 2.05971 (52*2π)/3166 weeks
53.76543 -.01502 (53*2π)/3166 weeks
542.36264 1.23256 (54*2π)/3166 weeks
551.05065 2.30547 (55*2π)/3166 weeks
56.76313 .14533 (56*2π)/3166 weeks
571.06232 1.97712 (57*2π)/3166 weeks
581.13665 .19879 (58*2π)/3165 weeks
591.01616 1.05131 (59*2π)/3165 weeks
60.99331 .62655 (60*2π)/3165 weeks
611.73009 -.21347 (61*2π)/3165 weeks
621.95369 2.14026 (62*2π)/3165 weeks
63.3092 .46339 (63*2π)/3165 weeks
641.33814 .18013 (64*2π)/3165 weeks
652.07379 .39856 (65*2π)/3165 weeks
662.33504 1.13852 (66*2π)/3165 weeks
67.83773 1.81979 (67*2π)/3165 weeks
681.23769 .70966 (68*2π)/3165 weeks
69.91038 1.1491 (69*2π)/3165 weeks
70.61395 .6342 (70*2π)/3165 weeks
71.82342 -.1495 (71*2π)/3164 weeks
721.6794 -.32159 (72*2π)/3164 weeks
732.54818 .18115 (73*2π)/3164 weeks
742.37653 1.09081 (74*2π)/3164 weeks
751.38184 1.56812 (75*2π)/3164 weeks
761.95819 .62317 (76*2π)/3164 weeks
771.16607 2.17633 (77*2π)/3164 weeks
78.0597 .80943 (78*2π)/3164 weeks
79.91247 -.48786 (79*2π)/3164 weeks
802.04656 .35504 (80*2π)/3164 weeks
812.0371 .07421 (81*2π)/3164 weeks
821.95854 1.76297 (82*2π)/3164 weeks
831.52172 .89044 (83*2π)/3164 weeks
841.25267 1.00354 (84*2π)/3164 weeks
851.08139 1.08278 (85*2π)/3164 weeks
861.37825 .36252 (86*2π)/3164 weeks
871.57313 .97366 (87*2π)/3164 weeks
881.27494 .68314 (88*2π)/3164 weeks
891.53963 1.01411 (89*2π)/3164 weeks
901.4786 .94486 (90*2π)/3164 weeks
911.25666 1.06171 (91*2π)/3163 weeks
921.41209 1.59518 (92*2π)/3163 weeks
93.10536 1.20523 (93*2π)/3163 weeks
94.48582 .59872 (94*2π)/3163 weeks
95.64365 -.12537 (95*2π)/3163 weeks
961.10944 .02354 (96*2π)/3163 weeks
971.92258 .15552 (97*2π)/3163 weeks
981.70573 1.00343 (98*2π)/3163 weeks
991.38709 .9455 (99*2π)/3163 weeks
100.91514 1.9333 (100*2π)/3163 weeks
101-.04732 .5423 (101*2π)/3163 weeks
102.75402 .1367 (102*2π)/3163 weeks
103.39477 .81248 (103*2π)/3163 weeks
104.89174 -.88254 (104*2π)/3163 weeks
1051.70197 .76043 (105*2π)/3163 weeks
106.41621 .33249 (106*2π)/3163 weeks
1071.20036 .01536 (107*2π)/3163 weeks
1081.15164 .30009 (108*2π)/3163 weeks
1091.03573 .02263 (109*2π)/3163 weeks
1101.16804 .43946 (110*2π)/3163 weeks
1111.10464 -.18616 (111*2π)/3163 weeks
1121.55909 .20838 (112*2π)/3163 weeks
1131.55621 .80094 (113*2π)/3163 weeks
114.60772 .47311 (114*2π)/3163 weeks
1151.29779 .31403 (115*2π)/3163 weeks
116.81714 .69256 (116*2π)/3163 weeks
117.40407 .158 (117*2π)/3163 weeks
118.75019 .09238 (118*2π)/3163 weeks
119.786 -.89457 (119*2π)/3163 weeks
1201.56816 -.18567 (120*2π)/3163 weeks
1211.52163 .18561 (121*2π)/3163 weeks
1221.48048 -.22101 (122*2π)/3163 weeks
1231.44457 .88462 (123*2π)/3163 weeks
124.63871 .36155 (124*2π)/3163 weeks
125.76327 .08109 (125*2π)/3163 weeks
126.45547 -.63013 (126*2π)/3163 weeks
1271.64604 -.92591 (127*2π)/3162 weeks
1281.92484 .18672 (128*2π)/3162 weeks
1291.27968 -.19052 (129*2π)/3162 weeks
1301.55862 .00402 (130*2π)/3162 weeks
1311.56544 .10254 (131*2π)/3162 weeks
1321.46273 .13308 (132*2π)/3162 weeks
1331.27621 .06783 (133*2π)/3162 weeks
1341.36954 -.11602 (134*2π)/3162 weeks
1352.06291 .16502 (135*2π)/3162 weeks
136.91042 .61296 (136*2π)/3162 weeks
1371.22726 -.49307 (137*2π)/3162 weeks
1381.90647 .01469 (138*2π)/3162 weeks
1391.6953 .72684 (139*2π)/3162 weeks
1401.15641 -.02277 (140*2π)/3162 weeks
1411.30992 .64638 (141*2π)/3162 weeks
1421.13341 -.25531 (142*2π)/3162 weeks
1431.66997 .22405 (143*2π)/3162 weeks
144.92582 .21632 (144*2π)/3162 weeks
1451.83981 -.3085 (145*2π)/3162 weeks
1461.68605 .71012 (146*2π)/3162 weeks
147.98977 .65549 (147*2π)/3162 weeks
148.98676 .30247 (148*2π)/3162 weeks
149.60462 -.06798 (149*2π)/3162 weeks
1501.69524 -.15086 (150*2π)/3162 weeks
151.65511 .21114 (151*2π)/3162 weeks
1521.64968 -.85262 (152*2π)/3162 weeks
1532.17349 .706 (153*2π)/3162 weeks
154.78966 .89494 (154*2π)/3162 weeks
155.53894 -.20588 (155*2π)/3162 weeks
1561.39628 -.12461 (156*2π)/3162 weeks
1571.17198 .03432 (157*2π)/3162 weeks
1581.08406   (158*2π)/3162 weeks
1591.17198 -.03432 (159*2π)/3162 weeks
1601.39628 .12461 (160*2π)/3162 weeks
161.53894 .20588 (161*2π)/3162 weeks
162.78966 -.89494 (162*2π)/3162 weeks
1632.17349 -.706 (163*2π)/3162 weeks
1641.64968 .85262 (164*2π)/3162 weeks
165.65511 -.21114 (165*2π)/3162 weeks
1661.69524 .15086 (166*2π)/3162 weeks
167.60462 .06798 (167*2π)/3162 weeks
168.98676 -.30247 (168*2π)/3162 weeks
169.98977 -.65549 (169*2π)/3162 weeks
1701.68605 -.71012 (170*2π)/3162 weeks
1711.83981 .3085 (171*2π)/3162 weeks
172.92582 -.21632 (172*2π)/3162 weeks
1731.66997 -.22405 (173*2π)/3162 weeks
1741.13341 .25531 (174*2π)/3162 weeks
1751.30992 -.64638 (175*2π)/3162 weeks
1761.15641 .02277 (176*2π)/3162 weeks
1771.6953 -.72684 (177*2π)/3162 weeks
1781.90647 -.01469 (178*2π)/3162 weeks
1791.22726 .49307 (179*2π)/3162 weeks
180.91042 -.61296 (180*2π)/3162 weeks
1812.06291 -.16502 (181*2π)/3162 weeks
1821.36954 .11602 (182*2π)/3162 weeks
1831.27621 -.06783 (183*2π)/3162 weeks
1841.46273 -.13308 (184*2π)/3162 weeks
1851.56544 -.10254 (185*2π)/3162 weeks
1861.55862 -.00402 (186*2π)/3162 weeks
1871.27968 .19052 (187*2π)/3162 weeks
1881.92484 -.18672 (188*2π)/3162 weeks
1891.64604 .92591 (189*2π)/3162 weeks
190.45547 .63013 (190*2π)/3162 weeks
191.76327 -.08109 (191*2π)/3162 weeks
192.63871 -.36155 (192*2π)/3162 weeks
1931.44457 -.88462 (193*2π)/3162 weeks
1941.48048 .22101 (194*2π)/3162 weeks
1951.52163 -.18561 (195*2π)/3162 weeks
1961.56816 .18567 (196*2π)/3162 weeks
197.786 .89457 (197*2π)/3162 weeks
198.75019 -.09238 (198*2π)/3162 weeks
199.40407 -.158 (199*2π)/3162 weeks
200.81714 -.69256 (200*2π)/3162 weeks
2011.29779 -.31403 (201*2π)/3162 weeks
202.60772 -.47311 (202*2π)/3162 weeks
2031.55621 -.80094 (203*2π)/3162 weeks
2041.55909 -.20838 (204*2π)/3162 weeks
2051.10464 .18616 (205*2π)/3162 weeks
2061.16804 -.43946 (206*2π)/3162 weeks
2071.03573 -.02263 (207*2π)/3162 weeks
2081.15164 -.30009 (208*2π)/3162 weeks
2091.20036 -.01536 (209*2π)/3162 weeks
210.41621 -.33249 (210*2π)/3162 weeks
2111.70197 -.76043 (211*2π)/3161 weeks
212.89174 .88254 (212*2π)/3161 weeks
213.39477 -.81248 (213*2π)/3161 weeks
214.75402 -.1367 (214*2π)/3161 weeks
215-.04732 -.5423 (215*2π)/3161 weeks
216.91514 -1.9333 (216*2π)/3161 weeks
2171.38709 -.9455 (217*2π)/3161 weeks
2181.70573 -1.00343 (218*2π)/3161 weeks
2191.92258 -.15552 (219*2π)/3161 weeks
2201.10944 -.02354 (220*2π)/3161 weeks
221.64365 .12537 (221*2π)/3161 weeks
222.48582 -.59872 (222*2π)/3161 weeks
223.10536 -1.20523 (223*2π)/3161 weeks
2241.41209 -1.59518 (224*2π)/3161 weeks
2251.25666 -1.06171 (225*2π)/3161 weeks
2261.4786 -.94486 (226*2π)/3161 weeks
2271.53963 -1.01411 (227*2π)/3161 weeks
2281.27494 -.68314 (228*2π)/3161 weeks
2291.57313 -.97366 (229*2π)/3161 weeks
2301.37825 -.36252 (230*2π)/3161 weeks
2311.08139 -1.08278 (231*2π)/3161 weeks
2321.25267 -1.00354 (232*2π)/3161 weeks
2331.52172 -.89044 (233*2π)/3161 weeks
2341.95854 -1.76297 (234*2π)/3161 weeks
2352.0371 -.07421 (235*2π)/3161 weeks
2362.04656 -.35504 (236*2π)/3161 weeks
237.91247 .48786 (237*2π)/3161 weeks
238.0597 -.80943 (238*2π)/3161 weeks
2391.16607 -2.17633 (239*2π)/3161 weeks
2401.95819 -.62317 (240*2π)/3161 weeks
2411.38184 -1.56812 (241*2π)/3161 weeks
2422.37653 -1.09081 (242*2π)/3161 weeks
2432.54818 -.18115 (243*2π)/3161 weeks
2441.6794 .32159 (244*2π)/3161 weeks
245.82342 .1495 (245*2π)/3161 weeks
246.61395 -.6342 (246*2π)/3161 weeks
247.91038 -1.1491 (247*2π)/3161 weeks
2481.23769 -.70966 (248*2π)/3161 weeks
249.83773 -1.81979 (249*2π)/3161 weeks
2502.33504 -1.13852 (250*2π)/3161 weeks
2512.07379 -.39856 (251*2π)/3161 weeks
2521.33814 -.18013 (252*2π)/3161 weeks
253.3092 -.46339 (253*2π)/3161 weeks
2541.95369 -2.14026 (254*2π)/3161 weeks
2551.73009 .21347 (255*2π)/3161 weeks
256.99331 -.62655 (256*2π)/3161 weeks
2571.01616 -1.05131 (257*2π)/3161 weeks
2581.13665 -.19879 (258*2π)/3161 weeks
2591.06232 -1.97712 (259*2π)/3161 weeks
260.76313 -.14533 (260*2π)/3161 weeks
2611.05065 -2.30547 (261*2π)/3161 weeks
2622.36264 -1.23256 (262*2π)/3161 weeks
263.76543 .01502 (263*2π)/3161 weeks
264.24057 -2.05971 (264*2π)/3161 weeks
2652.51791 -1.8829 (265*2π)/3161 weeks
2661.16993 -.87023 (266*2π)/3161 weeks
2671.54301 -1.17923 (267*2π)/3161 weeks
2681.12405 -1.17252 (268*2π)/3161 weeks
2691.72939 -1.96094 (269*2π)/3161 weeks
2701.30714 -1.13379 (270*2π)/3161 weeks
2711.16894 -.92679 (271*2π)/3161 weeks
2721.24151 -2.95219 (272*2π)/3161 weeks
2732.55299 -.91832 (273*2π)/3161 weeks
2741.05377 -1.42534 (274*2π)/3161 weeks
2752.27125 -1.57587 (275*2π)/3161 weeks
2761.62839 -.88263 (276*2π)/3161 weeks
2771.19963 -1.07941 (277*2π)/3161 weeks
278.24147 -1.28388 (278*2π)/3161 weeks
2792.32342 -3.44779 (279*2π)/3161 weeks
2802.47917 -.80233 (280*2π)/3161 weeks
2811.12807 -1.51214 (281*2π)/3161 weeks
2822.89488 -1.15029 (282*2π)/3161 weeks
283.47967 -.56073 (283*2π)/3161 weeks
284.85962 -2.91933 (284*2π)/3161 weeks
2852.36971 -.12811 (285*2π)/3161 weeks
286-.49864 -2.69248 (286*2π)/3161 weeks
2872.46916 -2.70565 (287*2π)/3161 weeks
288.60518 -.70464 (288*2π)/3161 weeks
289.93989 -4.38808 (289*2π)/3161 weeks
2904.14643 -3.28292 (290*2π)/3161 weeks
2912.73546 .4861 (291*2π)/3161 weeks
292.45465 -1.65506 (292*2π)/3161 weeks
2931.45506 -.52606 (293*2π)/3161 weeks
294-.85914 -3.91016 (294*2π)/3161 weeks
2952.13238 -1.4509 (295*2π)/3161 weeks
296-.10714 -2.75918 (296*2π)/3161 weeks
297.41549 -5.21141 (297*2π)/3161 weeks
2982.96977 -3.25971 (298*2π)/3161 weeks
2992.47791 -2.2181 (299*2π)/3161 weeks
300-.06877 -3.34642 (300*2π)/3161 weeks
301.14747 -3.08479 (301*2π)/3161 weeks
3022.54799 -6.4648 (302*2π)/3161 weeks
303.10601 1.06154 (303*2π)/3161 weeks
304-3.67344 -10.95327 (304*2π)/3161 weeks
3055.62973 -8.94897 (305*2π)/3161 weeks
3065.46771 1 (306*2π)/3161 weeks
307-6.5411 -7.74452 (307*2π)/3161 weeks
3081.26089 -13.20813 (308*2π)/3161 weeks
3095.07834 -9.08064 (309*2π)/3161 weeks
3104.59009 -11.62772 (310*2π)/3161 weeks
311-1.15773 -7.02734 (311*2π)/3161 weeks
3122.25457 -29.91209 (312*2π)/3161 weeks
31320.23295 -16.20597 (313*2π)/3161 weeks
31420.8203 -11.6789 (314*2π)/3161 weeks



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