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Fourier Analysis of TNXP (Tonix Pharmaceuticals Holding C)


TNXP (Tonix Pharmaceuticals Holding C) appears to have interesting cyclic behaviour every 25 weeks (7.8227*cosine), 17 weeks (6.7218*sine), and 23 weeks (5.6276*sine).

TNXP (Tonix Pharmaceuticals Holding C) has an average price of 76.04 (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 3/13/2017 for TNXP (Tonix Pharmaceuticals Holding C), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
076.04142   0 
1-7.64363 27.75405 (1*2π)/254254 weeks
221.52903 19.90513 (2*2π)/254127 weeks
314.27676 38.36025 (3*2π)/25485 weeks
4-1.9221 8.90892 (4*2π)/25464 weeks
53.98693 13.94892 (5*2π)/25451 weeks
66.18219 15.01439 (6*2π)/25442 weeks
7-5.2291 13.88509 (7*2π)/25436 weeks
85.87931 -1.90691 (8*2π)/25432 weeks
96.00472 12.24308 (9*2π)/25428 weeks
10-7.82267 5.27268 (10*2π)/25425 weeks
115.56445 5.62757 (11*2π)/25423 weeks
12-.10335 3.96252 (12*2π)/25421 weeks
13-.14601 3.23367 (13*2π)/25420 weeks
142.98984 3.61459 (14*2π)/25418 weeks
152.4719 6.72185 (15*2π)/25417 weeks
16-.16635 3.5757 (16*2π)/25416 weeks
173.2244 2.60757 (17*2π)/25415 weeks
18-1.62005 1.73431 (18*2π)/25414 weeks
191.54799 2.60133 (19*2π)/25413 weeks
202.70608 -.71757 (20*2π)/25413 weeks
214.72023 4.49119 (21*2π)/25412 weeks
22-.42221 4.08893 (22*2π)/25412 weeks
233.22221 1.94646 (23*2π)/25411 weeks
24-.06452 3.9401 (24*2π)/25411 weeks
253.43712 .64873 (25*2π)/25410 weeks
26.23025 2.55012 (26*2π)/25410 weeks
272.56855 .04281 (27*2π)/2549 weeks
281.49991 2.30805 (28*2π)/2549 weeks
293.24455 1.08668 (29*2π)/2549 weeks
301.11463 4.29148 (30*2π)/2548 weeks
311.41245 1.28113 (31*2π)/2548 weeks
321.92768 1.1029 (32*2π)/2548 weeks
332.79779 2.04585 (33*2π)/2548 weeks
341.51623 1.12665 (34*2π)/2547 weeks
353.32437 2.98202 (35*2π)/2547 weeks
36.9174 1.23508 (36*2π)/2547 weeks
371.65321 1.31717 (37*2π)/2547 weeks
381.52609 2.39687 (38*2π)/2547 weeks
391.67445 1.35645 (39*2π)/2547 weeks
401.4151 1.50464 (40*2π)/2546 weeks
413.1181 2.37628 (41*2π)/2546 weeks
42.01963 1.89111 (42*2π)/2546 weeks
432.51005 .21428 (43*2π)/2546 weeks
441.97134 2.71113 (44*2π)/2546 weeks
45.87467 .18858 (45*2π)/2546 weeks
46.49597 2.0738 (46*2π)/2546 weeks
471.92035 1.09005 (47*2π)/2545 weeks
481.25263 .82589 (48*2π)/2545 weeks
492.04142 -.26129 (49*2π)/2545 weeks
501.5593 2.79883 (50*2π)/2545 weeks
511.23902 .12176 (51*2π)/2545 weeks
522.31997 .21216 (52*2π)/2545 weeks
532.87929 1.31818 (53*2π)/2545 weeks
54.7624 1.86348 (54*2π)/2545 weeks
551.64703 1.31493 (55*2π)/2545 weeks
56.82602 .99986 (56*2π)/2545 weeks
57.93588 -.11514 (57*2π)/2544 weeks
582.22352 -.39156 (58*2π)/2544 weeks
593.1919 .82526 (59*2π)/2544 weeks
602.4065 2.01144 (60*2π)/2544 weeks
612.19293 .67499 (61*2π)/2544 weeks
621.08034 2.61821 (62*2π)/2544 weeks
63.21684 .28815 (63*2π)/2544 weeks
642.43019 -.25864 (64*2π)/2544 weeks
652.26048 .13166 (65*2π)/2544 weeks
662.09846 2.16757 (66*2π)/2544 weeks
671.93584 1.38729 (67*2π)/2544 weeks
681.67448 1.29816 (68*2π)/2544 weeks
691.50299 .46344 (69*2π)/2544 weeks
701.89651 1.25122 (70*2π)/2544 weeks
711.85313 .80281 (71*2π)/2544 weeks
721.69455 1.16689 (72*2π)/2544 weeks
731.58667 1.39679 (73*2π)/2543 weeks
741.67739 2.06221 (74*2π)/2543 weeks
75.20611 .95833 (75*2π)/2543 weeks
76.39866 .35664 (76*2π)/2543 weeks
771.38447 .07974 (77*2π)/2543 weeks
782.41771 .25441 (78*2π)/2543 weeks
791.9104 1.35625 (79*2π)/2543 weeks
801.97116 1.7052 (80*2π)/2543 weeks
81-.20942 1.10887 (81*2π)/2543 weeks
82.94945 .15587 (82*2π)/2543 weeks
83-.01041 .56069 (83*2π)/2543 weeks
842.34285 -.28771 (84*2π)/2543 weeks
85.65089 .88469 (85*2π)/2543 weeks
861.48783 .00755 (86*2π)/2543 weeks
871.33673 .40371 (87*2π)/2543 weeks
881.65541 .14107 (88*2π)/2543 weeks
891.10309 -.02918 (89*2π)/2543 weeks
901.93846 .24675 (90*2π)/2543 weeks
911.68371 1.18839 (91*2π)/2543 weeks
921.12739 .09871 (92*2π)/2543 weeks
931.25604 .86992 (93*2π)/2543 weeks
94.49252 .24735 (94*2π)/2543 weeks
95.73384 .11123 (95*2π)/2543 weeks
961.85806 -.92026 (96*2π)/2543 weeks
971.98254 -.0293 (97*2π)/2543 weeks
981.72811 -.26971 (98*2π)/2543 weeks
991.50179 1.11681 (99*2π)/2543 weeks
100.84073 .14458 (100*2π)/2543 weeks
101.51421 -.22941 (101*2π)/2543 weeks
1021.90179 -1.22445 (102*2π)/2542 weeks
1032.1859 .36594 (103*2π)/2542 weeks
1041.91478 -.27432 (104*2π)/2542 weeks
1051.95005 .01067 (105*2π)/2542 weeks
1061.81939 .14188 (106*2π)/2542 weeks
1071.59881 .02401 (107*2π)/2542 weeks
1081.90734 -.3315 (108*2π)/2542 weeks
1091.84466 1.03557 (109*2π)/2542 weeks
1101.31212 -.53513 (110*2π)/2542 weeks
1112.37604 .06757 (111*2π)/2542 weeks
1121.54041 .91754 (112*2π)/2542 weeks
1132.08365 .3567 (113*2π)/2542 weeks
1141.19219 -.18588 (114*2π)/2542 weeks
1152.0493 .34851 (115*2π)/2542 weeks
1161.19581 -.22784 (116*2π)/2542 weeks
1172.48609 .48996 (117*2π)/2542 weeks
1181.38295 .91428 (118*2π)/2542 weeks
1191.23483 .37869 (119*2π)/2542 weeks
120.98031 -.52291 (120*2π)/2542 weeks
1211.62526 .64119 (121*2π)/2542 weeks
1221.53165 -1.07759 (122*2π)/2542 weeks
1232.67263 .91917 (123*2π)/2542 weeks
124.70446 .8118 (124*2π)/2542 weeks
1251.35298 -.55461 (125*2π)/2542 weeks
1261.46535 .07978 (126*2π)/2542 weeks
1271.35181   (127*2π)/2542 weeks
1281.46535 -.07978 (128*2π)/2542 weeks
1291.35298 .55461 (129*2π)/2542 weeks
130.70446 -.8118 (130*2π)/2542 weeks
1312.67263 -.91917 (131*2π)/2542 weeks
1321.53165 1.07759 (132*2π)/2542 weeks
1331.62526 -.64119 (133*2π)/2542 weeks
134.98031 .52291 (134*2π)/2542 weeks
1351.23483 -.37869 (135*2π)/2542 weeks
1361.38295 -.91428 (136*2π)/2542 weeks
1372.48609 -.48996 (137*2π)/2542 weeks
1381.19581 .22784 (138*2π)/2542 weeks
1392.0493 -.34851 (139*2π)/2542 weeks
1401.19219 .18588 (140*2π)/2542 weeks
1412.08365 -.3567 (141*2π)/2542 weeks
1421.54041 -.91754 (142*2π)/2542 weeks
1432.37604 -.06757 (143*2π)/2542 weeks
1441.31212 .53513 (144*2π)/2542 weeks
1451.84466 -1.03557 (145*2π)/2542 weeks
1461.90734 .3315 (146*2π)/2542 weeks
1471.59881 -.02401 (147*2π)/2542 weeks
1481.81939 -.14188 (148*2π)/2542 weeks
1491.95005 -.01067 (149*2π)/2542 weeks
1501.91478 .27432 (150*2π)/2542 weeks
1512.1859 -.36594 (151*2π)/2542 weeks
1521.90179 1.22445 (152*2π)/2542 weeks
153.51421 .22941 (153*2π)/2542 weeks
154.84073 -.14458 (154*2π)/2542 weeks
1551.50179 -1.11681 (155*2π)/2542 weeks
1561.72811 .26971 (156*2π)/2542 weeks
1571.98254 .0293 (157*2π)/2542 weeks
1581.85806 .92026 (158*2π)/2542 weeks
159.73384 -.11123 (159*2π)/2542 weeks
160.49252 -.24735 (160*2π)/2542 weeks
1611.25604 -.86992 (161*2π)/2542 weeks
1621.12739 -.09871 (162*2π)/2542 weeks
1631.68371 -1.18839 (163*2π)/2542 weeks
1641.93846 -.24675 (164*2π)/2542 weeks
1651.10309 .02918 (165*2π)/2542 weeks
1661.65541 -.14107 (166*2π)/2542 weeks
1671.33673 -.40371 (167*2π)/2542 weeks
1681.48783 -.00755 (168*2π)/2542 weeks
169.65089 -.88469 (169*2π)/2542 weeks
1702.34285 .28771 (170*2π)/2541 weeks
171-.01041 -.56069 (171*2π)/2541 weeks
172.94945 -.15587 (172*2π)/2541 weeks
173-.20942 -1.10887 (173*2π)/2541 weeks
1741.97116 -1.7052 (174*2π)/2541 weeks
1751.9104 -1.35625 (175*2π)/2541 weeks
1762.41771 -.25441 (176*2π)/2541 weeks
1771.38447 -.07974 (177*2π)/2541 weeks
178.39866 -.35664 (178*2π)/2541 weeks
179.20611 -.95833 (179*2π)/2541 weeks
1801.67739 -2.06221 (180*2π)/2541 weeks
1811.58667 -1.39679 (181*2π)/2541 weeks
1821.69455 -1.16689 (182*2π)/2541 weeks
1831.85313 -.80281 (183*2π)/2541 weeks
1841.89651 -1.25122 (184*2π)/2541 weeks
1851.50299 -.46344 (185*2π)/2541 weeks
1861.67448 -1.29816 (186*2π)/2541 weeks
1871.93584 -1.38729 (187*2π)/2541 weeks
1882.09846 -2.16757 (188*2π)/2541 weeks
1892.26048 -.13166 (189*2π)/2541 weeks
1902.43019 .25864 (190*2π)/2541 weeks
191.21684 -.28815 (191*2π)/2541 weeks
1921.08034 -2.61821 (192*2π)/2541 weeks
1932.19293 -.67499 (193*2π)/2541 weeks
1942.4065 -2.01144 (194*2π)/2541 weeks
1953.1919 -.82526 (195*2π)/2541 weeks
1962.22352 .39156 (196*2π)/2541 weeks
197.93588 .11514 (197*2π)/2541 weeks
198.82602 -.99986 (198*2π)/2541 weeks
1991.64703 -1.31493 (199*2π)/2541 weeks
200.7624 -1.86348 (200*2π)/2541 weeks
2012.87929 -1.31818 (201*2π)/2541 weeks
2022.31997 -.21216 (202*2π)/2541 weeks
2031.23902 -.12176 (203*2π)/2541 weeks
2041.5593 -2.79883 (204*2π)/2541 weeks
2052.04142 .26129 (205*2π)/2541 weeks
2061.25263 -.82589 (206*2π)/2541 weeks
2071.92035 -1.09005 (207*2π)/2541 weeks
208.49597 -2.0738 (208*2π)/2541 weeks
209.87467 -.18858 (209*2π)/2541 weeks
2101.97134 -2.71113 (210*2π)/2541 weeks
2112.51005 -.21428 (211*2π)/2541 weeks
212.01963 -1.89111 (212*2π)/2541 weeks
2133.1181 -2.37628 (213*2π)/2541 weeks
2141.4151 -1.50464 (214*2π)/2541 weeks
2151.67445 -1.35645 (215*2π)/2541 weeks
2161.52609 -2.39687 (216*2π)/2541 weeks
2171.65321 -1.31717 (217*2π)/2541 weeks
218.9174 -1.23508 (218*2π)/2541 weeks
2193.32437 -2.98202 (219*2π)/2541 weeks
2201.51623 -1.12665 (220*2π)/2541 weeks
2212.79779 -2.04585 (221*2π)/2541 weeks
2221.92768 -1.1029 (222*2π)/2541 weeks
2231.41245 -1.28113 (223*2π)/2541 weeks
2241.11463 -4.29148 (224*2π)/2541 weeks
2253.24455 -1.08668 (225*2π)/2541 weeks
2261.49991 -2.30805 (226*2π)/2541 weeks
2272.56855 -.04281 (227*2π)/2541 weeks
228.23025 -2.55012 (228*2π)/2541 weeks
2293.43712 -.64873 (229*2π)/2541 weeks
230-.06452 -3.9401 (230*2π)/2541 weeks
2313.22221 -1.94646 (231*2π)/2541 weeks
232-.42221 -4.08893 (232*2π)/2541 weeks
2334.72023 -4.49119 (233*2π)/2541 weeks
2342.70608 .71757 (234*2π)/2541 weeks
2351.54799 -2.60133 (235*2π)/2541 weeks
236-1.62005 -1.73431 (236*2π)/2541 weeks
2373.2244 -2.60757 (237*2π)/2541 weeks
238-.16635 -3.5757 (238*2π)/2541 weeks
2392.4719 -6.72185 (239*2π)/2541 weeks
2402.98984 -3.61459 (240*2π)/2541 weeks
241-.14601 -3.23367 (241*2π)/2541 weeks
242-.10335 -3.96252 (242*2π)/2541 weeks
2435.56445 -5.62757 (243*2π)/2541 weeks
244-7.82267 -5.27268 (244*2π)/2541 weeks
2456.00472 -12.24308 (245*2π)/2541 weeks
2465.87931 1.90691 (246*2π)/2541 weeks
247-5.2291 -13.88509 (247*2π)/2541 weeks
2486.18219 -15.01439 (248*2π)/2541 weeks
2493.98693 -13.94892 (249*2π)/2541 weeks
250-1.9221 -8.90892 (250*2π)/2541 weeks
25114.27676 -38.36025 (251*2π)/2541 weeks
25221.52903 -19.90513 (252*2π)/2541 weeks

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