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Fourier Analysis of ERBB (AMERICAN GREEN, INC)


ERBB (AMERICAN GREEN, INC) appears to have interesting cyclic behaviour every 100 weeks (1159.83*cosine), 91 weeks (1115.39*cosine), and 84 weeks (1080.167*cosine).

ERBB (AMERICAN GREEN, INC) has an average price of 1,294.35 (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 8/27/1996 to 1/9/2017 for ERBB (AMERICAN GREEN, INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,294.353   0 
12,427.687 451.7263 (1*2π)/10031,003 weeks
22,178.483 688.2413 (2*2π)/1003502 weeks
31,934.539 842.6888 (3*2π)/1003334 weeks
41,691.11 883.6957 (4*2π)/1003251 weeks
51,531.109 869.5126 (5*2π)/1003201 weeks
61,402.319 862.2847 (6*2π)/1003167 weeks
71,286.941 829.664 (7*2π)/1003143 weeks
81,217.656 778.8867 (8*2π)/1003125 weeks
91,190.529 753.4714 (9*2π)/1003111 weeks
101,159.83 762.4888 (10*2π)/1003100 weeks
111,115.39 769.353 (11*2π)/100391 weeks
121,080.167 778.7341 (12*2π)/100384 weeks
131,032.716 799.7253 (13*2π)/100377 weeks
14976.7291 807.4073 (14*2π)/100372 weeks
15925.028 817.0908 (15*2π)/100367 weeks
16849.7883 822.3755 (16*2π)/100363 weeks
17774.2826 781.4459 (17*2π)/100359 weeks
18751.1513 726.5751 (18*2π)/100356 weeks
19746.6381 710.9917 (19*2π)/100353 weeks
20721.3973 703.1167 (20*2π)/100350 weeks
21702.2723 689.2828 (21*2π)/100348 weeks
22674.7376 686.9911 (22*2π)/100346 weeks
23634.257 660.9147 (23*2π)/100344 weeks
24624.0571 617.5483 (24*2π)/100342 weeks
25633.2781 593.17 (25*2π)/100340 weeks
26645.2452 579.4648 (26*2π)/100339 weeks
27663.5209 582.8658 (27*2π)/100337 weeks
28665.9503 605.691 (28*2π)/100336 weeks
29648.1096 622.1736 (29*2π)/100335 weeks
30629.1246 627.1002 (30*2π)/100333 weeks
31612.2491 628.7672 (31*2π)/100332 weeks
32596.3676 627.3245 (32*2π)/100331 weeks
33586.262 621.604 (33*2π)/100330 weeks
34586.2389 624.494 (34*2π)/100330 weeks
35575.1257 640.0883 (35*2π)/100329 weeks
36553.1575 644.2345 (36*2π)/100328 weeks
37540.8885 640.5082 (37*2π)/100327 weeks
38535.7155 642.748 (38*2π)/100326 weeks
39532.2567 650.7559 (39*2π)/100326 weeks
40531.2767 671.5368 (40*2π)/100325 weeks
41511.473 710.2313 (41*2π)/100324 weeks
42461.6522 737.8872 (42*2π)/100324 weeks
43405.3372 739.5274 (43*2π)/100323 weeks
44355.124 722.6322 (44*2π)/100323 weeks
45320.5225 691.9637 (45*2π)/100322 weeks
46304.7973 665.1595 (46*2π)/100322 weeks
47293.3031 649.6086 (47*2π)/100321 weeks
48278.5571 638.8029 (48*2π)/100321 weeks
49260.6112 626.9094 (49*2π)/100320 weeks
50244.4928 611.8229 (50*2π)/100320 weeks
51230.1029 599.1737 (51*2π)/100320 weeks
52212.3199 583.1205 (52*2π)/100319 weeks
53203.2997 562.9833 (53*2π)/100319 weeks
54196.5047 553.5065 (54*2π)/100319 weeks
55180.0144 542.8936 (55*2π)/100318 weeks
56165.4735 525.605 (56*2π)/100318 weeks
57150.9235 508.3083 (57*2π)/100318 weeks
58136.1401 482.2158 (58*2π)/100317 weeks
59134.0798 451.0108 (59*2π)/100317 weeks
60141.5478 428.2492 (60*2π)/100317 weeks
61147.0254 412.7529 (61*2π)/100316 weeks
62152.4681 397.2395 (62*2π)/100316 weeks
63158.3705 386.8607 (63*2π)/100316 weeks
64157.9988 374.2586 (64*2π)/100316 weeks
65164.2041 353.9516 (65*2π)/100315 weeks
66180.9526 339.7291 (66*2π)/100315 weeks
67197.5437 334.8244 (67*2π)/100315 weeks
68212.9413 333.7064 (68*2π)/100315 weeks
69227.7556 340.3274 (69*2π)/100315 weeks
70232.3744 352.4781 (70*2π)/100314 weeks
71229.9042 357.3002 (71*2π)/100314 weeks
72233.0349 358.9452 (72*2π)/100314 weeks
73235.0835 367.4092 (73*2π)/100314 weeks
74230.253 373.2946 (74*2π)/100314 weeks
75228.5043 375.7491 (75*2π)/100313 weeks
76225.8855 382.3338 (76*2π)/100313 weeks
77219.408 385.6207 (77*2π)/100313 weeks
78217.5284 387.6475 (78*2π)/100313 weeks
79214.8393 395.3362 (79*2π)/100313 weeks
80208.1058 402.5763 (80*2π)/100313 weeks
81202.3026 411.9388 (81*2π)/100312 weeks
82188.4067 427.1355 (82*2π)/100312 weeks
83162.4102 436.1614 (83*2π)/100312 weeks
84133.2344 432.8552 (84*2π)/100312 weeks
85108.3157 419.7047 (85*2π)/100312 weeks
8690.08156 401.2564 (86*2π)/100312 weeks
8779.95296 381.1683 (87*2π)/100312 weeks
8875.75014 365.3602 (88*2π)/100311 weeks
8970.86853 353.4506 (89*2π)/100311 weeks
9065.83456 340.623 (90*2π)/100311 weeks
9163.12554 329.8784 (91*2π)/100311 weeks
9256.86282 321.8963 (92*2π)/100311 weeks
9346.42576 309.7454 (93*2π)/100311 weeks
9437.32214 290.6467 (94*2π)/100311 weeks
9534.78235 266.5161 (95*2π)/100311 weeks
9642.12961 242.7855 (96*2π)/100310 weeks
9755.84566 227.6632 (97*2π)/100310 weeks
9866.45315 219.4441 (98*2π)/100310 weeks
9975.13429 211.9592 (99*2π)/100310 weeks
10083.06403 206.4469 (100*2π)/100310 weeks
10189.84908 200.9618 (101*2π)/100310 weeks
10297.42146 197.8297 (102*2π)/100310 weeks
10399.72443 196.894 (103*2π)/100310 weeks
10498.56136 189.8572 (104*2π)/100310 weeks
105101.2163 177.325 (105*2π)/100310 weeks
106110.8759 162.6702 (106*2π)/10039 weeks
107129.5701 152.401 (107*2π)/10039 weeks
108150.3598 153.6722 (108*2π)/10039 weeks
109163.6012 161.377 (109*2π)/10039 weeks
110172.4578 167.3414 (110*2π)/10039 weeks
111181.4778 174.0409 (111*2π)/10039 weeks
112187.5745 183.5031 (112*2π)/10039 weeks
113189.0431 191.8614 (113*2π)/10039 weeks
114188.9301 196.9104 (114*2π)/10039 weeks
115189.3313 198.4823 (115*2π)/10039 weeks
116194.7354 197.3203 (116*2π)/10039 weeks
117207.2819 200.8959 (117*2π)/10039 weeks
118219.8181 215.1775 (118*2π)/10039 weeks
119223.4139 236.6856 (119*2π)/10038 weeks
120217.3216 256.3611 (120*2π)/10038 weeks
121207.18 272.5064 (121*2π)/10038 weeks
122191.7906 285.1083 (122*2π)/10038 weeks
123176.0993 290.1661 (123*2π)/10038 weeks
124162.7912 294.3557 (124*2π)/10038 weeks
125146.5003 295.1455 (125*2π)/10038 weeks
126135.5186 289.419 (126*2π)/10038 weeks
127131.2887 288.8786 (127*2π)/10038 weeks
128121.9198 294.1217 (128*2π)/10038 weeks
129106.9859 295.6975 (129*2π)/10038 weeks
13092.07794 293.1308 (130*2π)/10038 weeks
13177.24866 287.9708 (131*2π)/10038 weeks
13264.27019 279.7432 (132*2π)/10038 weeks
13352.70137 272.1282 (133*2π)/10038 weeks
13438.47857 262.5475 (134*2π)/10037 weeks
13524.51133 246.6554 (135*2π)/10037 weeks
13616.71918 224.2865 (136*2π)/10037 weeks
13719.10358 202.5815 (137*2π)/10037 weeks
13826.72102 186.5892 (138*2π)/10037 weeks
13936.91579 176.6539 (139*2π)/10037 weeks
14044.62487 174.0736 (140*2π)/10037 weeks
14145.57502 172.0161 (141*2π)/10037 weeks
14245.9977 165.9927 (142*2π)/10037 weeks
14348.09916 160.7542 (143*2π)/10037 weeks
14448.43059 155.738 (144*2π)/10037 weeks
14549.21463 147.8995 (145*2π)/10037 weeks
14653.99572 140.1144 (146*2π)/10037 weeks
14759.59367 136.1822 (147*2π)/10037 weeks
14863.36783 133.1524 (148*2π)/10037 weeks
14967.03869 130.7641 (149*2π)/10037 weeks
15068.2201 128.7075 (150*2π)/10037 weeks
15169.53315 122.2724 (151*2π)/10037 weeks
15277.28271 115.9114 (152*2π)/10037 weeks
15387.0434 116.3621 (153*2π)/10037 weeks
15492.94522 121.8916 (154*2π)/10037 weeks
15592.72834 128.8565 (155*2π)/10036 weeks
15686.31809 132.3289 (156*2π)/10036 weeks
15778.57324 127.6677 (157*2π)/10036 weeks
15877.84272 117.6226 (158*2π)/10036 weeks
15983.65606 111.9323 (159*2π)/10036 weeks
16087.3336 110.98 (160*2π)/10036 weeks
16189.2224 108.6726 (161*2π)/10036 weeks
16292.37717 106.5392 (162*2π)/10036 weeks
16394.5648 104.6299 (163*2π)/10036 weeks
16498.88313 100.206 (164*2π)/10036 weeks
165108.9075 99.58267 (165*2π)/10036 weeks
166116.5165 106.7537 (166*2π)/10036 weeks
167119.1477 115.3004 (167*2π)/10036 weeks
168118.2585 126.063 (168*2π)/10036 weeks
169109.2869 135.9213 (169*2π)/10036 weeks
17095.92013 138.2607 (170*2π)/10036 weeks
17184.24062 133.71 (171*2π)/10036 weeks
17276.62041 125.7054 (172*2π)/10036 weeks
17372.84759 116.8372 (173*2π)/10036 weeks
17472.55543 109.1736 (174*2π)/10036 weeks
17572.4138 105.1545 (175*2π)/10036 weeks
17667.96574 100.0804 (176*2π)/10036 weeks
17765.65565 88.86358 (177*2π)/10036 weeks
17869.5476 78.45987 (178*2π)/10036 weeks
17975.02222 70.49693 (179*2π)/10036 weeks
18083.29702 64.70842 (180*2π)/10036 weeks
18191.11022 64.31132 (181*2π)/10036 weeks
18294.70073 65.37337 (182*2π)/10036 weeks
18396.42787 64.65923 (183*2π)/10035 weeks
18498.67806 63.00751 (184*2π)/10035 weeks
185100.5161 61.90735 (185*2π)/10035 weeks
186101.5969 59.13554 (186*2π)/10035 weeks
187105.0352 55.72342 (187*2π)/10035 weeks
188108.6968 54.25884 (188*2π)/10035 weeks
189111.5923 52.27554 (189*2π)/10035 weeks
190115.6927 50.33477 (190*2π)/10035 weeks
191119.6395 49.42234 (191*2π)/10035 weeks
192123.5892 47.65723 (192*2π)/10035 weeks
193130.6279 46.45353 (193*2π)/10035 weeks
194138.1376 50.64703 (194*2π)/10035 weeks
195140.4811 57.19222 (195*2π)/10035 weeks
196139.6508 61.88641 (196*2π)/10035 weeks
197136.7143 64.62079 (197*2π)/10035 weeks
198133.0341 63.53568 (198*2π)/10035 weeks
199132.1224 58.70939 (199*2π)/10035 weeks
200136.8312 54.43437 (200*2π)/10035 weeks
201142.8103 55.20331 (201*2π)/10035 weeks
202146.8887 57.96265 (202*2π)/10035 weeks
203149.7291 62.75452 (203*2π)/10035 weeks
204148.1269 68.28474 (204*2π)/10035 weeks
205144.0027 69.32633 (205*2π)/10035 weeks
206143.0442 67.6352 (206*2π)/10035 weeks
207143.8248 67.81964 (207*2π)/10035 weeks
208143.5988 68.94733 (208*2π)/10035 weeks
209142.8599 70.077 (209*2π)/10035 weeks
210140.6988 71.87918 (210*2π)/10035 weeks
211135.9706 71.19747 (211*2π)/10035 weeks
212133.5759 67.3392 (212*2π)/10035 weeks
213132.4308 65.02456 (213*2π)/10035 weeks
214129.7692 61.26405 (214*2π)/10035 weeks
215129.0914 55.4059 (215*2π)/10035 weeks
216129.6924 49.68172 (216*2π)/10035 weeks
217131.4159 42.32018 (217*2π)/10035 weeks
218137.1163 34.51043 (218*2π)/10035 weeks
219145.7658 29.3946 (219*2π)/10035 weeks
220155.5866 26.69518 (220*2π)/10035 weeks
221167.3612 27.0711 (221*2π)/10035 weeks
222178.6991 33.80827 (222*2π)/10035 weeks
223183.3827 44.66493 (223*2π)/10034 weeks
224182.0753 52.80201 (224*2π)/10034 weeks
225178.7572 57.24618 (225*2π)/10034 weeks
226174.9134 57.3064 (226*2π)/10034 weeks
227174.9741 53.52629 (227*2π)/10034 weeks
228179.919 51.79881 (228*2π)/10034 weeks
229184.38 53.65264 (229*2π)/10034 weeks
230187.7225 55.60906 (230*2π)/10034 weeks
231190.8346 57.95086 (231*2π)/10034 weeks
232193.8503 59.2325 (232*2π)/10034 weeks
233199.658 60.59233 (233*2π)/10034 weeks
234207.3193 65.58037 (234*2π)/10034 weeks
235213.3598 74.91543 (235*2π)/10034 weeks
236215.5477 86.33614 (236*2π)/10034 weeks
237214.1339 97.6562 (237*2π)/10034 weeks
238209.8699 107.8663 (238*2π)/10034 weeks
239203.258 116.1366 (239*2π)/10034 weeks
240195.8623 121.6254 (240*2π)/10034 weeks
241188.9471 125.7683 (241*2π)/10034 weeks
242181.5683 128.8682 (242*2π)/10034 weeks
243174.611 130.571 (243*2π)/10034 weeks
244167.7486 132.134 (244*2π)/10034 weeks
245159.911 132.6564 (245*2π)/10034 weeks
246151.9873 131.0772 (246*2π)/10034 weeks
247145.2021 127.4282 (247*2π)/10034 weeks
248140.8604 122.6655 (248*2π)/10034 weeks
249138.8664 119.2157 (249*2π)/10034 weeks
250136.3645 117.75 (250*2π)/10034 weeks
251132.8692 115.919 (251*2π)/10034 weeks
252129.1723 114.551 (252*2π)/10034 weeks
253122.636 112.1804 (253*2π)/10034 weeks
254116.5986 104.9805 (254*2π)/10034 weeks
255114.4215 96.38251 (255*2π)/10034 weeks
256114.8437 87.84692 (256*2π)/10034 weeks
257117.9274 81.00361 (257*2π)/10034 weeks
258120.9011 75.64553 (258*2π)/10034 weeks
259125.1109 70.15194 (259*2π)/10034 weeks
260130.7624 65.73323 (260*2π)/10034 weeks
261138.6554 62.66455 (261*2π)/10034 weeks
262147.7486 63.89156 (262*2π)/10034 weeks
263154.9961 68.71911 (263*2π)/10034 weeks
264159.5465 76.38441 (264*2π)/10034 weeks
265159.4461 85.10071 (265*2π)/10034 weeks
266155.4185 92.07914 (266*2π)/10034 weeks
267148.7852 95.87387 (267*2π)/10034 weeks
268142.0349 95.59438 (268*2π)/10034 weeks
269137.2458 92.68058 (269*2π)/10034 weeks
270134.8706 88.77975 (270*2π)/10034 weeks
271134.6676 85.43988 (271*2π)/10034 weeks
272134.9277 83.54128 (272*2π)/10034 weeks
273134.8313 81.1878 (273*2π)/10034 weeks
274137.0039 78.43211 (274*2π)/10034 weeks
275141.0609 78.70066 (275*2π)/10034 weeks
276143.6475 82.5227 (276*2π)/10034 weeks
277143.0543 88.26852 (277*2π)/10034 weeks
278137.7613 94.30308 (278*2π)/10034 weeks
279127.8352 96.48594 (279*2π)/10034 weeks
280117.142 93.08262 (280*2π)/10034 weeks
281107.806 84.84647 (281*2π)/10034 weeks
282102.141 72.1937 (282*2π)/10034 weeks
283102.3466 57.87619 (283*2π)/10034 weeks
284107.432 45.29312 (284*2π)/10034 weeks
285115.1598 34.92738 (285*2π)/10034 weeks
286125.5406 26.31446 (286*2π)/10034 weeks
287138.683 21.32111 (287*2π)/10033 weeks
288151.6669 20.60334 (288*2π)/10033 weeks
289164.209 22.35831 (289*2π)/10033 weeks
290175.9876 27.77653 (290*2π)/10033 weeks
291184.776 35.58238 (291*2π)/10033 weeks
292191.4393 43.95047 (292*2π)/10033 weeks
293196.6497 53.82785 (293*2π)/10033 weeks
294197.8401 65.31435 (294*2π)/10033 weeks
295194.5168 74.02818 (295*2π)/10033 weeks
296190.9397 78.91363 (296*2π)/10033 weeks
297188.1053 81.69932 (297*2π)/10033 weeks
298187.638 82.77608 (298*2π)/10033 weeks
299189.7583 86.11623 (299*2π)/10033 weeks
300189.5862 92.18734 (300*2π)/10033 weeks
301186.8284 95.91753 (301*2π)/10033 weeks
302186.6182 97.49815 (302*2π)/10033 weeks
303188.3272 101.5818 (303*2π)/10033 weeks
304189.0569 107.8103 (304*2π)/10033 weeks
305188.1366 116.0016 (305*2π)/10033 weeks
306183.3081 124.8795 (306*2π)/10033 weeks
307175.0916 130.9365 (307*2π)/10033 weeks
308166.9054 133.4206 (308*2π)/10033 weeks
309159.8043 134.7887 (309*2π)/10033 weeks
310152.1124 135.2453 (310*2π)/10033 weeks
311144.6738 132.9389 (311*2π)/10033 weeks
312139.8426 129.1521 (312*2π)/10033 weeks
313136.6106 125.7978 (313*2π)/10033 weeks
314134.6146 122.3922 (314*2π)/10033 weeks
315134.0091 120.2626 (315*2π)/10033 weeks
316132.4099 119.2222 (316*2π)/10033 weeks
317130.8602 116.5424 (317*2π)/10033 weeks
318131.8951 114.4268 (318*2π)/10033 weeks
319132.7186 114.8166 (319*2π)/10033 weeks
320132.2589 115.2791 (320*2π)/10033 weeks
321132.1632 115.7245 (321*2π)/10033 weeks
322131.6583 117.2355 (322*2π)/10033 weeks
323130.0536 118.4857 (323*2π)/10033 weeks
324128.8935 119.551 (324*2π)/10033 weeks
325126.8165 122.009 (325*2π)/10033 weeks
326122.1562 123.3053 (326*2π)/10033 weeks
327117.791 121.6011 (327*2π)/10033 weeks
328115.4852 118.9745 (328*2π)/10033 weeks
329114.5578 116.5603 (329*2π)/10033 weeks
330114.982 114.611 (330*2π)/10033 weeks
331116.7178 114.3158 (331*2π)/10033 weeks
332117.733 116.4331 (332*2π)/10033 weeks
333117.2892 118.883 (333*2π)/10033 weeks
334116.7312 122.5778 (334*2π)/10033 weeks
335112.533 127.9024 (335*2π)/10033 weeks
336104.9467 129.489 (336*2π)/10033 weeks
33798.91062 127.7774 (337*2π)/10033 weeks
33894.02555 125.1623 (338*2π)/10033 weeks
33990.76604 120.9782 (339*2π)/10033 weeks
34090.75943 117.2614 (340*2π)/10033 weeks
34191.90285 116.6702 (341*2π)/10033 weeks
34291.81968 117.7955 (342*2π)/10033 weeks
34391.20595 120.3562 (343*2π)/10033 weeks
34487.67675 124.8421 (344*2π)/10033 weeks
34580.37276 127.5184 (345*2π)/10033 weeks
34672.28712 127.2559 (346*2π)/10033 weeks
34763.77746 125.2027 (347*2π)/10033 weeks
34854.99477 119.8329 (348*2π)/10033 weeks
34949.14201 111.3446 (349*2π)/10033 weeks
35046.56449 102.9655 (350*2π)/10033 weeks
35145.48551 94.91985 (351*2π)/10033 weeks
35247.10254 86.84876 (352*2π)/10033 weeks
35351.35312 81.87234 (353*2π)/10033 weeks
35454.28955 80.04887 (354*2π)/10033 weeks
35556.13092 78.45992 (355*2π)/10033 weeks
35657.77371 78.0834 (356*2π)/10033 weeks
35757.85945 78.39669 (357*2π)/10033 weeks
35857.0086 78.69019 (358*2π)/10033 weeks
35954.62726 79.16081 (359*2π)/10033 weeks
36050.25606 78.14408 (360*2π)/10033 weeks
36145.83487 74.2549 (361*2π)/10033 weeks
36243.20691 68.87923 (362*2π)/10033 weeks
36341.86324 63.21845 (363*2π)/10033 weeks
36441.8084 57.22439 (364*2π)/10033 weeks
36543.21015 51.74092 (365*2π)/10033 weeks
36645.14549 47.07957 (366*2π)/10033 weeks
36747.53243 42.577 (367*2π)/10033 weeks
36851.11795 38.47953 (368*2π)/10033 weeks
36955.6239 35.99578 (369*2π)/10033 weeks
37059.7292 34.95299 (370*2π)/10033 weeks
37163.89119 34.78706 (371*2π)/10033 weeks
37267.54456 36.74422 (372*2π)/10033 weeks
37368.75072 39.78798 (373*2π)/10033 weeks
37468.00368 42.07682 (374*2π)/10033 weeks
37566.24868 43.22501 (375*2π)/10033 weeks
37664.3672 43.18816 (376*2π)/10033 weeks
37762.70411 43.06542 (377*2π)/10033 weeks
37859.81357 42.69958 (378*2π)/10033 weeks
37956.38839 40.38003 (379*2π)/10033 weeks
38053.73914 36.48527 (380*2π)/10033 weeks
38152.52941 31.26304 (381*2π)/10033 weeks
38253.50649 26.04885 (382*2π)/10033 weeks
38355.74151 21.8256 (383*2π)/10033 weeks
38458.79667 18.55244 (384*2π)/10033 weeks
38562.45193 16.52252 (385*2π)/10033 weeks
38666.20155 16.06193 (386*2π)/10033 weeks
38769.3113 17.16487 (387*2π)/10033 weeks
38871.21293 19.71109 (388*2π)/10033 weeks
38970.67265 23.39416 (389*2π)/10033 weeks
39066.79224 26.18563 (390*2π)/10033 weeks
39160.92186 26.07477 (391*2π)/10033 weeks
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